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class |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
FStar.List.Tot.Base.fst | FStar.List.Tot.Base.concatMap | val concatMap: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b) | val concatMap: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b) | let rec concatMap f = function
| [] -> []
| a::tl ->
let fa = f a in
let ftl = concatMap f tl in
append fa ftl | {
"file_name": "ulib/FStar.List.Tot.Base.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 17,
"end_line": 181,
"start_col": 0,
"start_line": 176
} | (*
Copyright 2008-2014 Nikhil Swamy and 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.
*)
(**
This module defines all pure and total operations on lists that can be
used in specifications. It is implemented by FStar_List_Tot_Base.ml, any
functional change and/or the addition of new functions MUST be reflected
there.
@summary Pure total operations on lists
*)
module FStar.List.Tot.Base
(**
Base operations
*)
(** [isEmpty l] returns [true] if and only if [l] is empty *)
val isEmpty: list 'a -> Tot bool
let isEmpty l = match l with
| [] -> true
| _ -> false
(** [hd l] returns the first element of [l]. Requires [l] to be
nonempty, at type-checking time. Named as in: OCaml, F#, Coq *)
val hd: l:list 'a{Cons? l} -> Tot 'a
let hd = function
| hd::_ -> hd
(** [tail l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Similar to: tl in OCaml, F#, Coq
*)
val tail: l:list 'a {Cons? l} -> Tot (list 'a)
let tail = function
| _::tl -> tl
(** [tl l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Named as in: OCaml, F#, Coq
*)
val tl: l:list 'a {Cons? l} -> Tot (list 'a)
let tl = tail
(** [last l] returns the last element of [l]. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val last: l:list 'a {Cons? l} -> Tot 'a
let rec last = function
| [hd] -> hd
| _::tl -> last tl
(** [init l] returns [l] without its last element. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val init: l:list 'a {Cons? l} -> Tot (list 'a)
let rec init = function
| [_] -> []
| hd::tl -> hd::(init tl)
(** [length l] returns the total number of elements in [l]. Named as
in: OCaml, F#, Coq *)
val length: list 'a -> Tot nat
let rec length = function
| [] -> 0
| _::tl -> 1 + length tl
(** [nth l n] returns the [n]-th element in list [l] (with the first
element being the 0-th) if [l] is long enough, or [None]
otherwise. Named as in: OCaml, F#, Coq *)
val nth: list 'a -> nat -> Tot (option 'a)
let rec nth l n = match l with
| [] -> None
| hd::tl -> if n = 0 then Some hd else nth tl (n - 1)
(** [index l n] returns the [n]-th element in list [l] (with the first
element being the 0-th). Requires, at type-checking time, that [l] be
of length at least [n+1]. *)
val index: #a:Type -> l:list a -> i:nat{i < length l} -> Tot a
let rec index #a (l: list a) (i:nat{i < length l}): Tot a =
if i = 0 then
hd l
else
index (tl l) (i - 1)
(** [count x l] returns the number of occurrences of [x] in
[l]. Requires, at type-checking time, the type of [a] to have equality
defined. Similar to: [List.count_occ] in Coq. *)
val count: #a:eqtype -> a -> list a -> Tot nat
let rec count #a x = function
| [] -> 0
| hd::tl -> if x=hd then 1 + count x tl else count x tl
(** [rev_acc l1 l2] appends the elements of [l1] to the beginning of
[l2], in reverse order. It is equivalent to [append (rev l1) l2], but
is tail-recursive. Similar to: [List.rev_append] in OCaml, Coq. *)
val rev_acc: list 'a -> list 'a -> Tot (list 'a)
let rec rev_acc l acc = match l with
| [] -> acc
| hd::tl -> rev_acc tl (hd::acc)
(** [rev l] returns the list [l] in reverse order. Named as in: OCaml,
F#, Coq. *)
val rev: list 'a -> Tot (list 'a)
let rev l = rev_acc l []
(** [append l1 l2] appends the elements of [l2] to the end of [l1]. Named as: OCaml, F#. Similar to: [List.app] in Coq. *)
val append: list 'a -> list 'a -> Tot (list 'a)
let rec append x y = match x with
| [] -> y
| a::tl -> a::append tl y
(** Defines notation [@@] for [append], as in OCaml, F# . *)
let op_At x y = append x y
(** [snoc (l, x)] adds [x] to the end of the list [l].
Note: We use an uncurried [snoc (l, x)] instead of the curried
[snoc l x]. This is intentional. If [snoc] takes a pair instead
of 2 arguments, it allows for a better pattern on
[lemma_unsnoc_snoc], which connects [snoc] and [unsnoc]. In
particular, if we had two arguments, then either the pattern would
either be too restrictive or would lead to over-triggering. More
context for this can be seen in the (collapsed and uncollapsed)
comments at https://github.com/FStarLang/FStar/pull/1560 *)
val snoc: (list 'a * 'a) -> Tot (list 'a)
let snoc (l, x) = append l [x]
(** [flatten l], where [l] is a list of lists, returns the list of the
elements of the lists in [l], preserving their order. Named as in:
OCaml, Coq. *)
val flatten: list (list 'a) -> Tot (list 'a)
let rec flatten l = match l with
| [] -> []
| hd::tl -> append hd (flatten tl)
(** [map f l] applies [f] to each element of [l] and returns the list
of results, in the order of the original elements in [l]. Requires, at
type-checking time, [f] to be a pure total function. Named as in: OCaml, Coq, F# *)
val map: ('a -> Tot 'b) -> list 'a -> Tot (list 'b)
let rec map f x = match x with
| [] -> []
| a::tl -> f a::map f tl
(** [mapi_init f l n] applies, for each [k], [f (n+k)] to the [k]-th
element of [l] and returns the list of results, in the order of the
original elements in [l]. Requires, at type-checking time, [f] to be a
pure total function. *)
val mapi_init: (int -> 'a -> Tot 'b) -> list 'a -> int -> Tot (list 'b)
let rec mapi_init f l i = match l with
| [] -> []
| hd::tl -> (f i hd)::(mapi_init f tl (i+1))
(** [mapi f l] applies, for each [k], [f k] to the [k]-th element of
[l] and returns the list of results, in the order of the original
elements in [l]. Requires, at type-checking time, [f] to be a pure
total function. Named as in: OCaml *)
val mapi: (int -> 'a -> Tot 'b) -> list 'a -> Tot (list 'b)
let mapi f l = mapi_init f l 0
(** [concatMap f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. This is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. *) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.List.Tot.Base.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"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 | f: (_: 'a -> Prims.list 'b) -> _: Prims.list 'a -> Prims.list 'b | Prims.Tot | [
"total"
] | [] | [
"Prims.list",
"Prims.Nil",
"FStar.List.Tot.Base.append",
"FStar.List.Tot.Base.concatMap"
] | [
"recursion"
] | false | false | false | true | false | let rec concatMap f =
| function
| [] -> []
| a :: tl ->
let fa = f a in
let ftl = concatMap f tl in
append fa ftl | false |
Vale.PPC64LE.Memory_Sems.fst | Vale.PPC64LE.Memory_Sems.lemma_is_full_update | val lemma_is_full_update
(vfh: vale_full_heap)
(h hk hk': vale_heap)
(k: heaplet_id)
(mh mh' mhk mhk': machine_heap)
(mt mt': memtaint)
(t: base_typ)
(b: buffer t)
(ptr: int)
(v_size index: nat)
(v: base_typ_as_vale_type t)
(tn: taint)
: Lemma
(requires
vfh.vf_layout.vl_inner.vl_heaplets_initialized /\ mem_inv vfh /\ buffer_readable hk b /\
buffer_writeable b /\ index < Seq.length (buffer_as_seq hk b) /\
mt == vfh.vf_layout.vl_taint /\ h == vfh.vf_heap /\ hk == Map16.sel vfh.vf_heaplets k /\
mh == h.mh /\ mhk == hk.mh /\ ptr == buffer_addr b hk + scale_by v_size index /\
mt' == S.update_n ptr v_size (heap_taint (coerce vfh)) tn /\
hk' == buffer_write b index v hk /\ valid_layout_buffer b vfh.vf_layout hk true /\
valid_taint_buf b hk mt tn /\ is_machine_heap_update mh mh' /\
upd_heap h mh' == buffer_write b index v h /\ is_machine_heap_update mhk mhk' /\
upd_heap hk mhk' == buffer_write b index v hk /\
(forall j. {:pattern mh.[ j ]\/mh'.[ j ]}
j < ptr \/ j >= ptr + v_size ==> mh.[ j ] == mh'.[ j ]) /\
(forall j. {:pattern mhk.[ j ]\/mhk'.[ j ]}
j < ptr \/ j >= ptr + v_size ==> mhk.[ j ] == mhk'.[ j ]) /\ 0 <= scale_by v_size index /\
scale_by v_size index + v_size <= DV.length (get_downview b.bsrc) /\
(forall i. {:pattern mh'.[ i ]\/mhk'.[ i ]}
i >= ptr /\ i < ptr + v_size ==> mh'.[ i ] == mhk'.[ i ]) /\ True)
(ensures is_full_update vfh hk' k mh' mt') | val lemma_is_full_update
(vfh: vale_full_heap)
(h hk hk': vale_heap)
(k: heaplet_id)
(mh mh' mhk mhk': machine_heap)
(mt mt': memtaint)
(t: base_typ)
(b: buffer t)
(ptr: int)
(v_size index: nat)
(v: base_typ_as_vale_type t)
(tn: taint)
: Lemma
(requires
vfh.vf_layout.vl_inner.vl_heaplets_initialized /\ mem_inv vfh /\ buffer_readable hk b /\
buffer_writeable b /\ index < Seq.length (buffer_as_seq hk b) /\
mt == vfh.vf_layout.vl_taint /\ h == vfh.vf_heap /\ hk == Map16.sel vfh.vf_heaplets k /\
mh == h.mh /\ mhk == hk.mh /\ ptr == buffer_addr b hk + scale_by v_size index /\
mt' == S.update_n ptr v_size (heap_taint (coerce vfh)) tn /\
hk' == buffer_write b index v hk /\ valid_layout_buffer b vfh.vf_layout hk true /\
valid_taint_buf b hk mt tn /\ is_machine_heap_update mh mh' /\
upd_heap h mh' == buffer_write b index v h /\ is_machine_heap_update mhk mhk' /\
upd_heap hk mhk' == buffer_write b index v hk /\
(forall j. {:pattern mh.[ j ]\/mh'.[ j ]}
j < ptr \/ j >= ptr + v_size ==> mh.[ j ] == mh'.[ j ]) /\
(forall j. {:pattern mhk.[ j ]\/mhk'.[ j ]}
j < ptr \/ j >= ptr + v_size ==> mhk.[ j ] == mhk'.[ j ]) /\ 0 <= scale_by v_size index /\
scale_by v_size index + v_size <= DV.length (get_downview b.bsrc) /\
(forall i. {:pattern mh'.[ i ]\/mhk'.[ i ]}
i >= ptr /\ i < ptr + v_size ==> mh'.[ i ] == mhk'.[ i ]) /\ True)
(ensures is_full_update vfh hk' k mh' mt') | let lemma_is_full_update
(vfh:vale_full_heap) (h hk hk':vale_heap) (k:heaplet_id) (mh mh' mhk mhk':machine_heap) (mt mt':memtaint)
(t:base_typ) (b:buffer t) (ptr:int) (v_size:nat)
(index:nat) (v:base_typ_as_vale_type t) (tn:taint)
: Lemma
(requires
vfh.vf_layout.vl_inner.vl_heaplets_initialized /\
mem_inv vfh /\
buffer_readable hk b /\
buffer_writeable b /\
index < Seq.length (buffer_as_seq hk b) /\
mt == vfh.vf_layout.vl_taint /\
h == vfh.vf_heap /\
hk == Map16.sel vfh.vf_heaplets k /\
mh == h.mh /\
mhk == hk.mh /\
ptr == buffer_addr b hk + scale_by v_size index /\
mt' == S.update_n ptr v_size (heap_taint (coerce vfh)) tn /\
hk' == buffer_write b index v hk /\
valid_layout_buffer b vfh.vf_layout hk true /\
valid_taint_buf b hk mt tn /\
is_machine_heap_update mh mh' /\ upd_heap h mh' == buffer_write b index v h /\
is_machine_heap_update mhk mhk' /\ upd_heap hk mhk' == buffer_write b index v hk /\
(forall j.{:pattern mh.[j] \/ mh'.[j]} j < ptr \/ j >= ptr + v_size ==> mh.[j] == mh'.[j]) /\
(forall j.{:pattern mhk.[j] \/ mhk'.[j]} j < ptr \/ j >= ptr + v_size ==> mhk.[j] == mhk'.[j]) /\
0 <= scale_by v_size index /\ scale_by v_size index + v_size <= DV.length (get_downview b.bsrc) /\
(forall i.{:pattern mh'.[i] \/ mhk'.[i]} i >= ptr /\ i < ptr + v_size ==> mh'.[i] == mhk'.[i]) /\
True
)
(ensures is_full_update vfh hk' k mh' mt')
=
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
let vfh' = coerce (heap_upd (coerce vfh) mh' mt') in
let dom_upd = Set.intersect (vfh.vf_layout.vl_inner.vl_heaplet_sets k) (Map.domain mhk) in
let mhk'' = Map.concat mhk (Map.restrict dom_upd mh') in
assert (Map.equal mhk'' mhk');
let unchanged (j:heaplet_id) : Lemma
(requires j =!= k)
(ensures Map16.sel vfh'.vf_heaplets j == Map16.sel vfh.vf_heaplets j)
[SMTPat (Map16.sel vfh'.vf_heaplets j)]
=
assert (Map.equal (Map16.sel vfh'.vf_heaplets j).mh (Map16.sel vfh.vf_heaplets j).mh);
I.down_up_identity (Map16.sel vfh.vf_heaplets j).ih;
()
in
assert (Map16.equal vfh'.vf_heaplets (Map16.upd vfh.vf_heaplets k hk'));
assert (Map.equal mt' mt);
Vale.Interop.Heap_s.list_disjoint_or_eq_reveal ();
() | {
"file_name": "vale/code/arch/ppc64le/Vale.PPC64LE.Memory_Sems.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 4,
"end_line": 705,
"start_col": 0,
"start_line": 657
} | module Vale.PPC64LE.Memory_Sems
open FStar.Mul
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.Def.Words_s
module I = Vale.Interop
module S = Vale.PPC64LE.Semantics_s
module MB = LowStar.Monotonic.Buffer
module UV = LowStar.BufferView.Up
module DV = LowStar.BufferView.Down
open Vale.Lib.BufferViewHelpers
open Vale.Arch.HeapImpl
open Vale.Arch.Heap
friend Vale.PPC64LE.Memory
module IB = Vale.Interop.Base
let same_domain h m = Set.equal (IB.addrs_set (_ih h)) (Map.domain m)
let lemma_same_domains h m1 m2 = ()
let get_heap h = I.down_mem (_ih h)
let upd_heap h m = mi_heap_upd h m
//let lemma_upd_get_heap h = I.down_up_identity (_ih h)
let lemma_get_upd_heap h m = I.up_down_identity (_ih h) m
let lemma_heap_impl = ()
let lemma_heap_get_heap h = ()
let lemma_heap_taint h = ()
//let lemma_heap_upd_heap h mh mt = ()
[@"opaque_to_smt"]
let rec set_of_range (a:int) (n:nat) : Pure (Set.set int)
(requires True)
(ensures fun s -> (forall (i:int).{:pattern Set.mem i s} Set.mem i s <==> a <= i /\ i < a + n))
=
if n = 0 then Set.empty else Set.union (set_of_range a (n - 1)) (Set.singleton (a + n - 1))
let buffer_info_has_addr (bi:buffer_info) (a:int) =
let b = bi.bi_buffer in
let addr = Vale.Interop.Heap_s.global_addrs_map b in
let len = DV.length (get_downview b.bsrc) in
addr <= a /\ a < addr + len
let buffer_info_has_addr_opt (bi:option buffer_info) (a:int) =
match bi with
| None -> False
| Some bi -> buffer_info_has_addr bi a
#set-options "--z3rlimit 100"
let rec make_owns_rec (h:vale_heap) (bs:Seq.seq buffer_info) (n:nat{n <= Seq.length bs}) :
GTot ((int -> option (n:nat{n < Seq.length bs})) & (heaplet_id -> Set.set int))
=
if n = 0 then ((fun _ -> None), (fun _ -> Set.empty)) else
let (m0, s0) = make_owns_rec h bs (n - 1) in
let bi = Seq.index bs (n - 1) in
let b = bi.bi_buffer in
let hi = bi.bi_heaplet in
let addr = Vale.Interop.Heap_s.global_addrs_map b in
let len = DV.length (get_downview b.bsrc) in
let s_b = set_of_range addr len in
let s i = if i = hi then Set.union (s0 i) s_b else s0 i in
let m a = if addr <= a && a < addr + len then Some (n - 1) else m0 a in
(m, s)
[@"opaque_to_smt"]
let make_owns (h:vale_heap) (bs:Seq.seq buffer_info) (n:nat{n <= Seq.length bs}) :
GTot ((int -> option (n:nat{n < Seq.length bs})) & (heaplet_id -> Set.set int))
=
make_owns_rec h bs n
let rec lemma_make_owns (h:vale_heap) (bs:Seq.seq buffer_info) (n:nat) : Lemma
(requires
n <= Seq.length bs /\
(forall (i:nat).{:pattern Seq.index bs i} i < Seq.length bs ==> buffer_readable h (Seq.index bs i).bi_buffer) /\
(forall (i1 i2:nat).{:pattern (Seq.index bs i1); (Seq.index bs i2)}
i1 < Seq.length bs /\ i2 < Seq.length bs ==> buffer_info_disjoint (Seq.index bs i1) (Seq.index bs i2))
)
(ensures (
let (m, s) = make_owns h bs n in
(forall (i:heaplet_id) (a:int).{:pattern Set.mem a (s i)}
(Set.mem a (s i) <==> Option.mapTot (fun n -> (Seq.index bs n).bi_heaplet) (m a) == Some i) /\
(Set.mem a (s i) ==> buffer_info_has_addr_opt (Option.mapTot (fun n -> Seq.index bs n) (m a)) a) /\
(Set.mem a (s i) ==> Set.mem a (Map.domain h.mh))
) /\
(forall (k:nat) (a:int).{:pattern Set.mem a (s (Seq.index bs k).bi_heaplet)}
k < n /\ buffer_info_has_addr (Seq.index bs k) a ==> Set.mem a (s (Seq.index bs k).bi_heaplet))
))
=
reveal_opaque (`%make_owns) make_owns;
if n = 0 then () else
let _ = make_owns h bs (n - 1) in
let (m, s) = make_owns h bs n in
lemma_make_owns h bs (n - 1);
let bi = Seq.index bs (n - 1) in
let b = bi.bi_buffer in
let hi = bi.bi_heaplet in
let addr = Vale.Interop.Heap_s.global_addrs_map b in
let len = DV.length (get_downview b.bsrc) in
let s_b = set_of_range addr len in
let lem1 (a:int) : Lemma
(requires Set.mem a s_b)
(ensures Set.mem a (Map.domain h.mh))
[SMTPat (Set.mem a (Map.domain h.mh))]
=
I.addrs_set_mem h.ih b a
in
let lem2 (i:heaplet_id) (a:int) : Lemma
(requires i =!= hi /\ Set.mem a (Set.intersect s_b (s i)))
(ensures False)
[SMTPat (Set.mem a (s i))]
=
reveal_opaque (`%addr_map_pred) addr_map_pred
in
()
#push-options "--initial_fuel 1 --max_fuel 1 --initial_ifuel 2 --max_ifuel 2"
let rec lemma_loc_mutable_buffers_rec (l:list buffer_info) (s:Seq.seq buffer_info) (n:nat) : Lemma
(requires
n + List.length l == Seq.length s /\
list_to_seq_post l s n
)
(ensures (
let modloc = loc_mutable_buffers l in
forall (i:nat).{:pattern Seq.index s i} n <= i /\ i < Seq.length s ==> (
let bi = Seq.index s i in
bi.bi_mutable == Mutable ==> loc_includes modloc (loc_buffer bi.bi_buffer))
))
(decreases l)
=
match l with
| [] -> ()
| h::t -> lemma_loc_mutable_buffers_rec t s (n + 1)
#pop-options
let lemma_loc_mutable_buffers (l:list buffer_info) : Lemma
(ensures (
let s = list_to_seq l in
forall (i:nat).{:pattern Seq.index s i} i < Seq.length s ==> (
let bi = Seq.index s i in
bi.bi_mutable == Mutable ==> loc_includes (loc_mutable_buffers l) (loc_buffer bi.bi_buffer))
))
=
lemma_list_to_seq l;
lemma_loc_mutable_buffers_rec l (list_to_seq l) 0
let create_heaplets buffers h1 =
let bs = list_to_seq buffers in
let modloc = loc_mutable_buffers buffers in
let layout1 = h1.vf_layout in
let layin1 = layout1.vl_inner in
let (hmap, hsets) = make_owns h1.vf_heap bs (Seq.length bs) in
let hmap a = Option.mapTot (fun n -> (Seq.index bs n).bi_heaplet) (hmap a) in
let l = {
vl_heaplets_initialized = true;
vl_heaplet_map = hmap;
vl_heaplet_sets = hsets;
vl_old_heap = h1.vf_heap;
vl_buffers = bs;
vl_mod_loc = modloc;
} in
let layout2 = {layout1 with vl_inner = l} in
let h2 = {
vf_layout = layout2;
vf_heap = h1.vf_heap;
vf_heaplets = h1.vf_heaplets;
} in
h2
let lemma_create_heaplets buffers h1 =
let bs = list_to_seq buffers in
let h2 = create_heaplets buffers h1 in
assert (h2.vf_layout.vl_inner.vl_buffers == bs); // REVIEW: why is this necessary, even with extra ifuel?
lemma_make_owns h1.vf_heap bs (Seq.length bs);
lemma_loc_mutable_buffers buffers;
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
()
let destroy_heaplets h1 =
h1
let lemma_destroy_heaplets h1 =
()
val heap_shift (m1 m2:S.machine_heap) (base:int) (n:nat) : Lemma
(requires (forall i. 0 <= i /\ i < n ==> m1.[base + i] == m2.[base + i]))
(ensures (forall i. {:pattern (m1.[i])} base <= i /\ i < base + n ==> m1.[i] == m2.[i]))
#push-options "--smtencoding.l_arith_repr boxwrap"
let heap_shift m1 m2 base n =
assert (forall i. base <= i /\ i < base + n ==>
m1.[base + (i - base)] == m2.[base + (i - base)])
#pop-options
val same_mem_eq_slices64 (b:buffer64{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:nat64)
(k:nat{k < buffer_length b})
(h1:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h1))})
(h2:vale_heap{h2 == buffer_write b i v h1})
(mem1:S.machine_heap{IB.correct_down_p (_ih h1) mem1 b})
(mem2:S.machine_heap{IB.correct_down_p (_ih h2) mem2 b}) : Lemma
(requires (Seq.index (buffer_as_seq h1 b) k == Seq.index (buffer_as_seq h2 b) k))
(ensures (
k * 8 + 8 <= DV.length (get_downview b.bsrc) /\
Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h1)) (get_downview b.bsrc)) (k * 8) (k * 8 + 8) ==
Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h2)) (get_downview b.bsrc)) (k * 8) (k * 8 + 8)))
let same_mem_eq_slices64 b i v k h1 h2 mem1 mem2 =
let t = TUInt64 in
let db = get_downview b.bsrc in
let ub = UV.mk_buffer db (uint_view t) in
UV.as_seq_sel (IB.hs_of_mem (_ih h1)) ub k;
UV.as_seq_sel (IB.hs_of_mem (_ih h2)) ub k;
UV.put_sel (IB.hs_of_mem (_ih h1)) ub k;
UV.put_sel (IB.hs_of_mem (_ih h2)) ub k;
UV.length_eq ub
let length_up64 (b:buffer64) (h:vale_heap) (k:nat{k < buffer_length b}) (i:nat{i < 8}) : Lemma
(scale8 k + i <= DV.length (get_downview b.bsrc)) =
let vb = UV.mk_buffer (get_downview b.bsrc) uint64_view in
UV.length_eq vb
val same_mem_get_heap_val64 (b:buffer64{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:nat64)
(k:nat{k < buffer_length b})
(h1:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h1))})
(h2:vale_heap{h2 == buffer_write b i v h1})
(mem1:S.machine_heap{IB.correct_down_p (_ih h1) mem1 b})
(mem2:S.machine_heap{IB.correct_down_p (_ih h2) mem2 b}) : Lemma
(requires (Seq.index (buffer_as_seq h1 b) k == Seq.index (buffer_as_seq h2 b) k))
(ensures (let ptr = buffer_addr b h1 + scale8 k in
forall (x:int).{:pattern (mem1.[x])} ptr <= x /\ x < ptr + 8 ==> mem1.[x] == mem2.[x]))
let same_mem_get_heap_val64 b j v k h1 h2 mem1 mem2 =
let ptr = buffer_addr b h1 + scale8 k in
let addr = buffer_addr b h1 in
let aux (x:int{ptr <= x /\ x < ptr + 8}) : Lemma (mem1.[x] == mem2.[x]) =
let i = x - ptr in
let db = get_downview b.bsrc in
let ub = UV.mk_buffer db uint64_view in
UV.as_seq_sel (IB.hs_of_mem (_ih h1)) ub k;
UV.as_seq_sel (IB.hs_of_mem (_ih h2)) ub k;
same_mem_eq_slices64 b j v k h1 h2 mem1 mem2;
let s1 = (Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h1)) db) (k * 8) (k * 8 + 8)) in
let s2 = (Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h2)) db) (k * 8) (k * 8 + 8)) in
assert (Seq.index s1 i == Seq.index (DV.as_seq (IB.hs_of_mem (_ih h1)) db) (k * 8 + i));
length_up64 b h1 k i;
assert (mem1.[addr+(scale8 k + i)] == UInt8.v (Seq.index (DV.as_seq (IB.hs_of_mem (_ih h1)) db) (k * 8 + i)));
assert (Seq.index s2 i == Seq.index (DV.as_seq (IB.hs_of_mem (_ih h2)) db) (k * 8 + i));
length_up64 b h2 k i;
assert (mem2.[addr+(scale8 k + i)] == UInt8.v (Seq.index (DV.as_seq (IB.hs_of_mem (_ih h2)) db) (k * 8 + i)))
in
Classical.forall_intro aux;
assert (forall i. addr + (scale8 k + i) == ptr + i)
let rec written_buffer_down64_aux1
(b:buffer64{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:nat64)
(h:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h))})
(base:nat{base == buffer_addr b h})
(k:nat) (h1:vale_heap{h1 == buffer_write b i v h})
(mem1:S.machine_heap{IB.correct_down (_ih h) mem1})
(mem2:S.machine_heap{IB.correct_down (_ih h1) mem2 /\
(forall j.{:pattern (mem1.[j]) \/ (mem2.[j])}
base <= j /\ j < base + k * 8 ==>
mem1.[j] == mem2.[j])})
: Lemma
(ensures (forall j. {:pattern (mem1.[j]) \/ (mem1.[j])}
j >= base /\ j < base + scale8 i ==>
mem1.[j] == mem2.[j]))
(decreases %[i-k]) =
if k >= i then ()
else begin
let ptr = base + scale8 k in
same_mem_get_heap_val64 b i v k h h1 mem1 mem2;
heap_shift mem1 mem2 ptr 8;
written_buffer_down64_aux1 b i v h base (k+1) h1 mem1 mem2
end
let rec written_buffer_down64_aux2
(b:buffer64{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:nat64)
(h:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h))})
(base:nat{base == buffer_addr b h})
(n:nat{n == buffer_length b})
(k:nat{k > i}) (h1:vale_heap{h1 == buffer_write b i v h})
(mem1:S.machine_heap{IB.correct_down (_ih h) mem1})
(mem2:S.machine_heap{IB.correct_down (_ih h1) mem2 /\
(forall j. {:pattern (mem1.[j]) \/ (mem2.[j])}
base + scale8 (i+1) <= j /\ j < base + k * 8 ==>
mem1.[j] == mem2.[j])})
: Lemma
(ensures (forall j. {:pattern (mem1.[j]) \/ (mem2.[j])}
j >= base + scale8 (i+1) /\ j < base + scale8 n ==>
mem1.[j] == mem2.[j]))
(decreases %[n-k]) =
if k >= n then ()
else begin
let ptr = base + scale8 k in
same_mem_get_heap_val64 b i v k h h1 mem1 mem2;
heap_shift mem1 mem2 ptr 8;
written_buffer_down64_aux2 b i v h base n (k+1) h1 mem1 mem2
end
let written_buffer_down64 (b:buffer64{buffer_writeable b}) (i:nat{i < buffer_length b}) (v:nat64) (h:vale_heap)
: Lemma
(requires List.memP b (IB.ptrs_of_mem (_ih h)))
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
let n = buffer_length b in
forall j. {:pattern (mem1.[j]) \/ (mem2.[j])}
(base <= j /\ j < base + scale8 i) \/
(base + scale8 (i+1) <= j /\ j < base + scale8 n) ==>
mem1.[j] == mem2.[j]))
= let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
let n = buffer_length b in
written_buffer_down64_aux1 b i v h base 0 h1 mem1 mem2;
written_buffer_down64_aux2 b i v h base n (i+1) h1 mem1 mem2
let unwritten_buffer_down (t:base_typ) (b:buffer t{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:base_typ_as_vale_type t)
(h:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h))})
: Lemma
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
forall (a:b8{List.memP a (IB.ptrs_of_mem (_ih h)) /\ a =!= b}) j. {:pattern mem1.[j]; List.memP a (IB.ptrs_of_mem (_ih h)) \/ mem2.[j]; List.memP a (IB.ptrs_of_mem (_ih h))}
let base = (IB.addrs_of_mem (_ih h)) a in
j >= base /\ j < base + DV.length (get_downview a.bsrc) ==> mem1.[j] == mem2.[j]))
= let aux (a:b8{a =!= b /\ List.memP a (IB.ptrs_of_mem (_ih h))})
: Lemma
(ensures (
let base = (IB.addrs_of_mem (_ih h)) a in
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
forall j.
j >= base /\ j < base + DV.length (get_downview a.bsrc) ==>
mem1.[j] == mem2.[j]))
= let db = get_downview a.bsrc in
if DV.length db = 0 then ()
else
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = (IB.addrs_of_mem (_ih h)) a in
let s0 = DV.as_seq (IB.hs_of_mem (_ih h)) db in
let s1 = DV.as_seq (IB.hs_of_mem (_ih h1)) db in
opaque_assert (`%IB.list_disjoint_or_eq) IB.list_disjoint_or_eq IB.list_disjoint_or_eq_def (MB.disjoint a.bsrc b.bsrc);
lemma_dv_equal (IB.down_view a.src) a.bsrc (IB.hs_of_mem (_ih h)) (IB.hs_of_mem (_ih h1));
assert (Seq.equal s0 s1);
assert (forall (j:int).{:pattern (mem1.[j])}
base <= j /\ j < base + Seq.length s0 ==> v_to_typ TUInt8 (Seq.index s0 (j - base)) == mem1.[j]);
heap_shift mem1 mem2 base (DV.length db)
in
Classical.forall_intro aux
let store_buffer_down64_mem
(b:buffer64{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:nat64)
(h:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h))})
: Lemma
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
forall (j:int). {:pattern mem1.[j] \/ mem2.[j]}
j < base + scale8 i \/ j >= base + scale8 (i+1) ==>
mem1.[j] == mem2.[j]))
= let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
let n = buffer_length b in
let aux (j:int)
: Lemma
(j < base + scale8 i \/ j >= base + scale8 (i+1) ==>
mem1.[j] == mem2.[j])
=
I.addrs_set_lemma_all ();
if j >= base && j < base + DV.length (get_downview b.bsrc) then begin
written_buffer_down64 b i v h;
length_t_eq (TUInt64) b
end
else if not (I.valid_addr (_ih h) j)
then I.same_unspecified_down (IB.hs_of_mem (_ih h)) (IB.hs_of_mem (_ih h1)) (IB.ptrs_of_mem (_ih h))
else unwritten_buffer_down TUInt64 b i v h
in
Classical.forall_intro aux
let store_buffer_aux_down64_mem (ptr:int) (v:nat64) (h:vale_heap{writeable_mem64 ptr h})
: Lemma
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = store_mem (TUInt64) ptr v h in
let mem2 = I.down_mem (_ih h1) in
forall j. {:pattern mem1.[j] \/ mem2.[j]}
j < ptr \/ j >= ptr + 8 ==>
mem1.[j] == mem2.[j]))
= let t = TUInt64 in
let h1 = store_mem t ptr v h in
let b = Some?.v (find_writeable_buffer t ptr h) in
length_t_eq t b;
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
store_buffer_write t ptr v h;
assert (buffer_addr b h + scale8 i == ptr);
assert (buffer_addr b h + scale8 (i+1) == ptr + 8);
store_buffer_down64_mem b i v h
let store_buffer_aux_down64_mem2 (ptr:int) (v:nat64) (h:vale_heap{writeable_mem64 ptr h})
: Lemma
(ensures (
let h1 = store_mem (TUInt64) ptr v h in
let mem2 = I.down_mem (_ih h1) in
S.get_heap_val64 ptr mem2 == v))
= let t = TUInt64 in
let b = Some?.v (find_writeable_buffer t ptr h) in
length_t_eq t b;
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
let h1 = store_mem t ptr v h in
let mem2 = I.down_mem (_ih h1) in
store_buffer_write t ptr v h;
assert (Seq.index (buffer_as_seq h1 b) i == v);
index64_get_heap_val64 h1 b mem2 i
let in_bounds64 (h:vale_heap) (b:buffer64) (i:nat{i < buffer_length b})
: Lemma (scale8 i + 8 <= DV.length (get_downview b.bsrc))
=
length_t_eq TUInt64 b
let bytes_valid64 ptr h =
reveal_opaque (`%S.valid_addr64) S.valid_addr64;
let t = TUInt64 in
let b = get_addr_ptr t ptr h in
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
in_bounds64 h b i;
I.addrs_set_mem (_ih h) b ptr;
I.addrs_set_mem (_ih h) b (ptr+1);
I.addrs_set_mem (_ih h) b (ptr+2);
I.addrs_set_mem (_ih h) b (ptr+3);
I.addrs_set_mem (_ih h) b (ptr+4);
I.addrs_set_mem (_ih h) b (ptr+5);
I.addrs_set_mem (_ih h) b (ptr+6);
I.addrs_set_mem (_ih h) b (ptr+7)
val same_mem_get_heap_val128 (b:buffer128)
(i:nat{i < buffer_length b})
(v:quad32)
(k:nat{k < buffer_length b})
(h1:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h1)) /\ buffer_writeable b})
(h2:vale_heap{h2 == buffer_write b i v h1})
(mem1:S.machine_heap{IB.correct_down_p (_ih h1) mem1 b})
(mem2:S.machine_heap{IB.correct_down_p (_ih h2) mem2 b}) : Lemma
(requires (Seq.index (buffer_as_seq h1 b) k == Seq.index (buffer_as_seq h2 b) k))
(ensures (let ptr = buffer_addr b h1 + scale16 k in
forall i.{:pattern mem1.[i]} i >= ptr /\ i < ptr+16 ==> mem1.[i] == mem2.[i]))
val same_mem_eq_slices128 (b:buffer128)
(i:nat{i < buffer_length b})
(v:quad32)
(k:nat{k < buffer_length b})
(h1:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h1)) /\ buffer_writeable b})
(h2:vale_heap{h2 == buffer_write b i v h1})
(mem1:S.machine_heap{IB.correct_down_p (_ih h1) mem1 b})
(mem2:S.machine_heap{IB.correct_down_p (_ih h2) mem2 b}) : Lemma
(requires (Seq.index (buffer_as_seq h1 b) k == Seq.index (buffer_as_seq h2 b) k))
(ensures (
k * 16 + 16 <= DV.length (get_downview b.bsrc) /\
Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h1)) (get_downview b.bsrc)) (k * 16) (k * 16 + 16) ==
Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h2)) (get_downview b.bsrc)) (k * 16) (k * 16 + 16)))
let same_mem_eq_slices128 b i v k h1 h2 mem1 mem2 =
let t = TUInt128 in
let db = get_downview b.bsrc in
let ub = UV.mk_buffer db (uint_view t) in
UV.as_seq_sel (IB.hs_of_mem (_ih h1)) ub k;
UV.as_seq_sel (IB.hs_of_mem (_ih h2)) ub k;
UV.put_sel (IB.hs_of_mem (_ih h1)) ub k;
UV.put_sel (IB.hs_of_mem (_ih h2)) ub k;
UV.length_eq ub
let length_up128 (b:buffer128) (h:vale_heap) (k:nat{k < buffer_length b}) (i:nat{i < 16}) : Lemma
(scale16 k + i <= DV.length (get_downview b.bsrc)) =
let vb = UV.mk_buffer (get_downview b.bsrc) uint128_view in
UV.length_eq vb
let same_mem_get_heap_val128 b j v k h1 h2 mem1 mem2 =
let ptr = buffer_addr b h1 + scale16 k in
let addr = buffer_addr b h1 in
let aux (i:nat{ptr <= i /\ i < ptr+16}) : Lemma (mem1.[i] == mem2.[i]) =
let db = get_downview b.bsrc in
let ub = UV.mk_buffer db uint128_view in
UV.as_seq_sel (IB.hs_of_mem (_ih h1)) ub k;
UV.as_seq_sel (IB.hs_of_mem (_ih h2)) ub k;
same_mem_eq_slices128 b j v k h1 h2 mem1 mem2;
let s1 = (Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h1)) db) (k * 16) (k * 16 + 16)) in
let s2 = (Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h2)) db) (k * 16) (k * 16 + 16)) in
assert (Seq.index s1 (i - ptr) == Seq.index (DV.as_seq (IB.hs_of_mem (_ih h1)) db) (k * 16 + (i-ptr)));
length_up128 b h1 k (i-ptr);
assert (mem1.[i] == UInt8.v (Seq.index (DV.as_seq (IB.hs_of_mem (_ih h1)) db) (k * 16 + (i-ptr))));
assert (Seq.index s2 (i-ptr) == Seq.index (DV.as_seq (IB.hs_of_mem (_ih h2)) db) (k * 16 + (i-ptr)));
length_up128 b h2 k (i-ptr);
assert (mem2.[addr+(scale16 k + (i-ptr))] == UInt8.v (Seq.index (DV.as_seq (IB.hs_of_mem (_ih h2)) db) (k * 16 + (i-ptr))));
assert (forall i. addr + (scale16 k + (i-ptr)) == i)
in
Classical.forall_intro aux
let in_bounds128 (h:vale_heap) (b:buffer128) (i:nat{i < buffer_length b}) : Lemma
(scale16 i + 16 <= DV.length (get_downview b.bsrc))
=
length_t_eq TUInt128 b
#push-options "--z3rlimit 20"
#restart-solver
let bytes_valid128 ptr h =
reveal_opaque (`%S.valid_addr128) S.valid_addr128;
IB.list_disjoint_or_eq_reveal ();
let t = TUInt128 in
let b = get_addr_ptr t ptr h in
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
in_bounds128 h b i;
I.addrs_set_mem (_ih h) b ptr;
I.addrs_set_mem (_ih h) b (ptr+1);
I.addrs_set_mem (_ih h) b (ptr+2);
I.addrs_set_mem (_ih h) b (ptr+3);
I.addrs_set_mem (_ih h) b (ptr+4);
I.addrs_set_mem (_ih h) b (ptr+5);
I.addrs_set_mem (_ih h) b (ptr+6);
I.addrs_set_mem (_ih h) b (ptr+7);
I.addrs_set_mem (_ih h) b (ptr+8);
I.addrs_set_mem (_ih h) b (ptr+9);
I.addrs_set_mem (_ih h) b (ptr+10);
I.addrs_set_mem (_ih h) b (ptr+11);
I.addrs_set_mem (_ih h) b (ptr+12);
I.addrs_set_mem (_ih h) b (ptr+13);
I.addrs_set_mem (_ih h) b (ptr+14);
I.addrs_set_mem (_ih h) b (ptr+15)
#pop-options
let equiv_load_mem64 ptr h =
let t = TUInt64 in
let b = get_addr_ptr t ptr h in
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
let addr = buffer_addr b h in
let contents = DV.as_seq (_ih h).IB.hs (get_downview b.bsrc) in
let heap = get_heap h in
index64_get_heap_val64 h b heap i;
lemma_load_mem64 b i h
//let low_lemma_valid_mem64 b i h =
// lemma_valid_mem64 b i h;
// bytes_valid64 (buffer_addr b h + scale8 i) h
//let low_lemma_load_mem64 b i h =
// lemma_valid_mem64 b i h;
// lemma_load_mem64 b i h;
// equiv_load_mem64 (buffer_addr b h + scale8 i) h
//let same_domain_update64 b i v h =
// low_lemma_valid_mem64 b i h;
// Vale.Arch.MachineHeap.same_domain_update64 (buffer_addr b h + scale8 i) v (get_heap h)
open Vale.X64.BufferViewStore
let low_lemma_store_mem64_aux
(b:buffer64)
(heap:S.machine_heap)
(i:nat{i < buffer_length b})
(v:nat64)
(h:vale_heap{buffer_readable h b /\ buffer_writeable b})
: Lemma
(requires IB.correct_down_p (_ih h) heap b)
(ensures (let heap' = S.update_heap64 (buffer_addr b h + scale8 i) v heap in
let h' = store_mem64 (buffer_addr b h + scale8 i) v h in
(_ih h').IB.hs == DV.upd_seq (_ih h).IB.hs (get_downview b.bsrc) (I.get_seq_heap heap' (_ih h).IB.addrs b))) =
let ptr = buffer_addr b h + scale8 i in
let heap' = S.update_heap64 ptr v heap in
let h' = store_mem64 ptr v h in
lemma_store_mem64 b i v h;
length_t_eq TUInt64 b;
bv_upd_update_heap64 b heap i v (_ih h);
let db = get_downview b.bsrc in
let bv = UV.mk_buffer db Vale.Interop.Views.up_view64 in
assert (UV.upd (_ih h).IB.hs bv i (UInt64.uint_to_t v) == (_ih h').IB.hs)
val valid_state_store_mem64_aux: (i:nat) -> (v:nat64) -> (h:vale_heap) -> Lemma
(requires writeable_mem64 i h)
(ensures (
let heap = get_heap h in
let heap' = S.update_heap64 i v heap in
let h' = store_mem64 i v h in
heap' == I.down_mem (_ih h')
))
let valid_state_store_mem64_aux i v h =
let heap = get_heap h in
let heap' = S.update_heap64 i v heap in
let h1 = store_mem TUInt64 i v h in
store_buffer_aux_down64_mem i v h;
store_buffer_aux_down64_mem2 i v h;
let mem1 = heap' in
let mem2 = I.down_mem (_ih h1) in
let aux () : Lemma (forall j. mem1.[j] == mem2.[j]) =
Vale.Arch.MachineHeap.same_mem_get_heap_val64 i mem1 mem2;
Vale.Arch.MachineHeap.correct_update_get64 i v heap;
Vale.Arch.MachineHeap.frame_update_heap64 i v heap
in let aux2 () : Lemma (Set.equal (Map.domain mem1) (Map.domain mem2)) =
bytes_valid64 i h;
Vale.Arch.MachineHeap.same_domain_update64 i v heap
in aux(); aux2();
Map.lemma_equal_intro mem1 mem2
let low_lemma_load_mem64_full b i vfh t hid =
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
()
#push-options "--z3rlimit 20"
#restart-solver
let low_lemma_store_mem64 b i v h =
lemma_writeable_mem64 b i h;
lemma_store_mem64 b i v h;
valid_state_store_mem64_aux (buffer_addr b h + scale8 i) v h;
let heap = get_heap h in
let heap' = S.update_heap64 (buffer_addr b h + scale8 i) v heap in
low_lemma_store_mem64_aux b heap i v h;
Vale.Arch.MachineHeap.frame_update_heap64 (buffer_addr b h + scale8 i) v heap;
in_bounds64 h b i;
I.addrs_set_lemma_all ();
I.update_buffer_up_mem (_ih h) b heap heap'
#pop-options
#set-options "--z3rlimit 100" | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.BufferViewStore.fsti.checked",
"Vale.PPC64LE.Semantics_s.fst.checked",
"Vale.PPC64LE.Memory.fst.checked",
"Vale.PPC64LE.Memory.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.Lib.BufferViewHelpers.fst.checked",
"Vale.Interop.Views.fsti.checked",
"Vale.Interop.Heap_s.fst.checked",
"Vale.Interop.Base.fst.checked",
"Vale.Interop.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Two_s.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.MachineHeap.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.Arch.Heap.fsti.checked",
"prims.fst.checked",
"LowStar.Monotonic.Buffer.fsti.checked",
"LowStar.BufferView.Up.fsti.checked",
"LowStar.BufferView.Down.fsti.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt64.fsti.checked",
"FStar.Set.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Option.fst.checked",
"FStar.Mul.fst.checked",
"FStar.Map.fsti.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.PPC64LE.Memory_Sems.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.X64.BufferViewStore",
"short_module": null
},
{
"abbrev": true,
"full_module": "Vale.Interop.Base",
"short_module": "IB"
},
{
"abbrev": false,
"full_module": "Vale.Arch.Heap",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Lib.BufferViewHelpers",
"short_module": null
},
{
"abbrev": true,
"full_module": "LowStar.BufferView.Down",
"short_module": "DV"
},
{
"abbrev": true,
"full_module": "LowStar.BufferView.Up",
"short_module": "UV"
},
{
"abbrev": true,
"full_module": "LowStar.Monotonic.Buffer",
"short_module": "MB"
},
{
"abbrev": true,
"full_module": "Vale.PPC64LE.Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.Interop",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"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.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": true,
"full_module": "Vale.Lib.Map16",
"short_module": "Map16"
},
{
"abbrev": true,
"full_module": "Vale.PPC64LE.Semantics_s",
"short_module": "S"
},
{
"abbrev": false,
"full_module": "Vale.Lib.Seqs",
"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.Arch.MachineHeap_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Heap",
"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": "Vale.Def.Types_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.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.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": 100,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
vfh: Vale.Arch.HeapImpl.vale_full_heap ->
h: Vale.Arch.HeapImpl.vale_heap ->
hk: Vale.Arch.HeapImpl.vale_heap ->
hk': Vale.Arch.HeapImpl.vale_heap ->
k: Vale.Arch.HeapImpl.heaplet_id ->
mh: Vale.Arch.MachineHeap_s.machine_heap ->
mh': Vale.Arch.MachineHeap_s.machine_heap ->
mhk: Vale.Arch.MachineHeap_s.machine_heap ->
mhk': Vale.Arch.MachineHeap_s.machine_heap ->
mt: Vale.PPC64LE.Memory.memtaint ->
mt': Vale.PPC64LE.Memory.memtaint ->
t: Vale.Arch.HeapTypes_s.base_typ ->
b: Vale.Arch.HeapImpl.buffer t ->
ptr: Prims.int ->
v_size: Prims.nat ->
index: Prims.nat ->
v: Vale.PPC64LE.Memory.base_typ_as_vale_type t ->
tn: Vale.Arch.HeapTypes_s.taint
-> FStar.Pervasives.Lemma
(requires
Mkvale_heap_layout_inner?.vl_heaplets_initialized (Mkvale_heap_layout?.vl_inner (Mkvale_full_heap?.vf_layout
vfh)) /\ Vale.PPC64LE.Memory.mem_inv vfh /\
Vale.PPC64LE.Memory.buffer_readable hk b /\ Vale.PPC64LE.Memory.buffer_writeable b /\
index < FStar.Seq.Base.length (Vale.PPC64LE.Memory.buffer_as_seq hk b) /\
mt == Mkvale_heap_layout?.vl_taint (Mkvale_full_heap?.vf_layout vfh) /\
h == Mkvale_full_heap?.vf_heap vfh /\
hk == Vale.Lib.Map16.sel (Mkvale_full_heap?.vf_heaplets vfh) k /\ mh == ValeHeap?.mh h /\
mhk == ValeHeap?.mh hk /\
ptr == Vale.PPC64LE.Memory.buffer_addr b hk + Vale.PPC64LE.Memory.scale_by v_size index /\
mt' ==
Vale.PPC64LE.Semantics_s.update_n ptr
v_size
(Vale.Arch.Heap.heap_taint (Vale.PPC64LE.Memory_Sems.coerce vfh))
tn /\ hk' == Vale.PPC64LE.Memory.buffer_write b index v hk /\
Vale.PPC64LE.Memory.valid_layout_buffer b (Mkvale_full_heap?.vf_layout vfh) hk true /\
Vale.PPC64LE.Memory.valid_taint_buf b hk mt tn /\
Vale.Arch.MachineHeap_s.is_machine_heap_update mh mh' /\
Vale.PPC64LE.Memory_Sems.upd_heap h mh' == Vale.PPC64LE.Memory.buffer_write b index v h /\
Vale.Arch.MachineHeap_s.is_machine_heap_update mhk mhk' /\
Vale.PPC64LE.Memory_Sems.upd_heap hk mhk' == Vale.PPC64LE.Memory.buffer_write b index v hk /\
(forall (j: Prims.int). {:pattern mh.[ j ]\/mh'.[ j ]}
j < ptr \/ j >= ptr + v_size ==> mh.[ j ] == mh'.[ j ]) /\
(forall (j: Prims.int). {:pattern mhk.[ j ]\/mhk'.[ j ]}
j < ptr \/ j >= ptr + v_size ==> mhk.[ j ] == mhk'.[ j ]) /\
0 <= Vale.PPC64LE.Memory.scale_by v_size index /\
Vale.PPC64LE.Memory.scale_by v_size index + v_size <=
LowStar.BufferView.Down.length (Vale.Interop.Types.get_downview (Buffer?.bsrc b)) /\
(forall (i: Prims.int). {:pattern mh'.[ i ]\/mhk'.[ i ]}
i >= ptr /\ i < ptr + v_size ==> mh'.[ i ] == mhk'.[ i ]) /\ Prims.l_True)
(ensures Vale.PPC64LE.Memory_Sems.is_full_update vfh hk' k mh' mt') | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"Vale.Arch.HeapImpl.vale_full_heap",
"Vale.Arch.HeapImpl.vale_heap",
"Vale.Arch.HeapImpl.heaplet_id",
"Vale.Arch.MachineHeap_s.machine_heap",
"Vale.PPC64LE.Memory.memtaint",
"Vale.Arch.HeapTypes_s.base_typ",
"Vale.Arch.HeapImpl.buffer",
"Prims.int",
"Prims.nat",
"Vale.PPC64LE.Memory.base_typ_as_vale_type",
"Vale.Arch.HeapTypes_s.taint",
"Prims.unit",
"Vale.Interop.Heap_s.list_disjoint_or_eq_reveal",
"Prims._assert",
"FStar.Map.equal",
"Vale.Lib.Map16.equal",
"Vale.Arch.HeapImpl.__proj__Mkvale_full_heap__item__vf_heaplets",
"Vale.Lib.Map16.upd",
"Prims.l_not",
"Prims.eq2",
"Prims.squash",
"Vale.Lib.Map16.sel",
"Prims.Cons",
"FStar.Pervasives.pattern",
"FStar.Pervasives.smt_pat",
"Prims.Nil",
"Vale.Interop.down_up_identity",
"FStar.Ghost.reveal",
"Vale.Interop.Heap_s.interop_heap",
"Vale.Arch.HeapImpl.__proj__ValeHeap__item__ih",
"Vale.Def.Types_s.nat8",
"Vale.Arch.HeapImpl.__proj__ValeHeap__item__mh",
"FStar.Map.t",
"Vale.Def.Words_s.nat8",
"FStar.Map.concat",
"FStar.Map.restrict",
"FStar.Set.set",
"FStar.Set.intersect",
"Vale.Arch.HeapImpl.__proj__Mkvale_heap_layout_inner__item__vl_heaplet_sets",
"Vale.Arch.HeapImpl.__proj__Mkvale_heap_layout__item__vl_inner",
"Vale.Arch.HeapImpl.__proj__Mkvale_full_heap__item__vf_layout",
"FStar.Map.domain",
"Vale.PPC64LE.Memory_Sems.coerce",
"Vale.Arch.Heap.heap_impl",
"Vale.Arch.Heap.heap_upd",
"FStar.Pervasives.reveal_opaque",
"Vale.PPC64LE.Memory.buffer",
"Vale.Arch.HeapImpl.vale_heap_layout",
"FStar.Pervasives.Native.option",
"Prims.bool",
"Vale.Def.Prop_s.prop0",
"Vale.PPC64LE.Memory.valid_layout_buffer_id",
"Prims.l_and",
"Prims.b2t",
"Vale.Arch.HeapImpl.__proj__Mkvale_heap_layout_inner__item__vl_heaplets_initialized",
"Vale.PPC64LE.Memory.mem_inv",
"Vale.PPC64LE.Memory.buffer_readable",
"Vale.PPC64LE.Memory.buffer_writeable",
"Prims.op_LessThan",
"FStar.Seq.Base.length",
"Vale.PPC64LE.Memory.buffer_as_seq",
"Vale.Arch.HeapTypes_s.memTaint_t",
"Vale.Arch.HeapImpl.__proj__Mkvale_heap_layout__item__vl_taint",
"Vale.Arch.HeapImpl.__proj__Mkvale_full_heap__item__vf_heap",
"Prims.op_Addition",
"Vale.PPC64LE.Memory.buffer_addr",
"Vale.PPC64LE.Memory.scale_by",
"Vale.PPC64LE.Semantics_s.update_n",
"Vale.Arch.Heap.heap_taint",
"Vale.PPC64LE.Memory.buffer_write",
"Vale.PPC64LE.Memory.valid_layout_buffer",
"Vale.PPC64LE.Memory.valid_taint_buf",
"Vale.Arch.MachineHeap_s.is_machine_heap_update",
"Vale.PPC64LE.Memory_Sems.upd_heap",
"Prims.l_Forall",
"Prims.l_imp",
"Prims.l_or",
"Prims.op_GreaterThanOrEqual",
"Vale.PPC64LE.Memory.op_String_Access",
"Prims.op_LessThanOrEqual",
"LowStar.BufferView.Down.length",
"FStar.UInt8.t",
"Vale.Interop.Types.get_downview",
"Vale.Interop.Types.__proj__Buffer__item__src",
"Vale.Interop.Types.b8_preorder",
"Vale.Interop.Types.__proj__Buffer__item__writeable",
"Vale.Interop.Types.base_typ_as_type",
"Vale.Interop.Types.__proj__Buffer__item__bsrc",
"Prims.l_True",
"Vale.PPC64LE.Memory_Sems.is_full_update"
] | [] | false | false | true | false | false | let lemma_is_full_update
(vfh: vale_full_heap)
(h hk hk': vale_heap)
(k: heaplet_id)
(mh mh' mhk mhk': machine_heap)
(mt mt': memtaint)
(t: base_typ)
(b: buffer t)
(ptr: int)
(v_size index: nat)
(v: base_typ_as_vale_type t)
(tn: taint)
: Lemma
(requires
vfh.vf_layout.vl_inner.vl_heaplets_initialized /\ mem_inv vfh /\ buffer_readable hk b /\
buffer_writeable b /\ index < Seq.length (buffer_as_seq hk b) /\
mt == vfh.vf_layout.vl_taint /\ h == vfh.vf_heap /\ hk == Map16.sel vfh.vf_heaplets k /\
mh == h.mh /\ mhk == hk.mh /\ ptr == buffer_addr b hk + scale_by v_size index /\
mt' == S.update_n ptr v_size (heap_taint (coerce vfh)) tn /\
hk' == buffer_write b index v hk /\ valid_layout_buffer b vfh.vf_layout hk true /\
valid_taint_buf b hk mt tn /\ is_machine_heap_update mh mh' /\
upd_heap h mh' == buffer_write b index v h /\ is_machine_heap_update mhk mhk' /\
upd_heap hk mhk' == buffer_write b index v hk /\
(forall j. {:pattern mh.[ j ]\/mh'.[ j ]}
j < ptr \/ j >= ptr + v_size ==> mh.[ j ] == mh'.[ j ]) /\
(forall j. {:pattern mhk.[ j ]\/mhk'.[ j ]}
j < ptr \/ j >= ptr + v_size ==> mhk.[ j ] == mhk'.[ j ]) /\ 0 <= scale_by v_size index /\
scale_by v_size index + v_size <= DV.length (get_downview b.bsrc) /\
(forall i. {:pattern mh'.[ i ]\/mhk'.[ i ]}
i >= ptr /\ i < ptr + v_size ==> mh'.[ i ] == mhk'.[ i ]) /\ True)
(ensures is_full_update vfh hk' k mh' mt') =
| reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
let vfh' = coerce (heap_upd (coerce vfh) mh' mt') in
let dom_upd = Set.intersect (vfh.vf_layout.vl_inner.vl_heaplet_sets k) (Map.domain mhk) in
let mhk'' = Map.concat mhk (Map.restrict dom_upd mh') in
assert (Map.equal mhk'' mhk');
let unchanged (j: heaplet_id)
: Lemma (requires j =!= k)
(ensures Map16.sel vfh'.vf_heaplets j == Map16.sel vfh.vf_heaplets j)
[SMTPat (Map16.sel vfh'.vf_heaplets j)] =
assert (Map.equal (Map16.sel vfh'.vf_heaplets j).mh (Map16.sel vfh.vf_heaplets j).mh);
I.down_up_identity (Map16.sel vfh.vf_heaplets j).ih;
()
in
assert (Map16.equal vfh'.vf_heaplets (Map16.upd vfh.vf_heaplets k hk'));
assert (Map.equal mt' mt);
Vale.Interop.Heap_s.list_disjoint_or_eq_reveal ();
() | false |
FStar.List.Tot.Base.fst | FStar.List.Tot.Base.fold_left2 | val fold_left2 : f:('a -> 'b -> 'c -> Tot 'a) -> accu:'a -> l1:(list 'b) -> l2:(list 'c) ->
Pure 'a (requires (length l1 == length l2)) (ensures (fun _ -> True)) (decreases l1) | val fold_left2 : f:('a -> 'b -> 'c -> Tot 'a) -> accu:'a -> l1:(list 'b) -> l2:(list 'c) ->
Pure 'a (requires (length l1 == length l2)) (ensures (fun _ -> True)) (decreases l1) | let rec fold_left2 f accu l1 l2 =
match (l1, l2) with
| ([], []) -> accu
| (a1::l1, a2::l2) -> fold_left2 f (f accu a1 a2) l1 l2 | {
"file_name": "ulib/FStar.List.Tot.Base.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 57,
"end_line": 221,
"start_col": 0,
"start_line": 218
} | (*
Copyright 2008-2014 Nikhil Swamy and 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.
*)
(**
This module defines all pure and total operations on lists that can be
used in specifications. It is implemented by FStar_List_Tot_Base.ml, any
functional change and/or the addition of new functions MUST be reflected
there.
@summary Pure total operations on lists
*)
module FStar.List.Tot.Base
(**
Base operations
*)
(** [isEmpty l] returns [true] if and only if [l] is empty *)
val isEmpty: list 'a -> Tot bool
let isEmpty l = match l with
| [] -> true
| _ -> false
(** [hd l] returns the first element of [l]. Requires [l] to be
nonempty, at type-checking time. Named as in: OCaml, F#, Coq *)
val hd: l:list 'a{Cons? l} -> Tot 'a
let hd = function
| hd::_ -> hd
(** [tail l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Similar to: tl in OCaml, F#, Coq
*)
val tail: l:list 'a {Cons? l} -> Tot (list 'a)
let tail = function
| _::tl -> tl
(** [tl l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Named as in: OCaml, F#, Coq
*)
val tl: l:list 'a {Cons? l} -> Tot (list 'a)
let tl = tail
(** [last l] returns the last element of [l]. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val last: l:list 'a {Cons? l} -> Tot 'a
let rec last = function
| [hd] -> hd
| _::tl -> last tl
(** [init l] returns [l] without its last element. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val init: l:list 'a {Cons? l} -> Tot (list 'a)
let rec init = function
| [_] -> []
| hd::tl -> hd::(init tl)
(** [length l] returns the total number of elements in [l]. Named as
in: OCaml, F#, Coq *)
val length: list 'a -> Tot nat
let rec length = function
| [] -> 0
| _::tl -> 1 + length tl
(** [nth l n] returns the [n]-th element in list [l] (with the first
element being the 0-th) if [l] is long enough, or [None]
otherwise. Named as in: OCaml, F#, Coq *)
val nth: list 'a -> nat -> Tot (option 'a)
let rec nth l n = match l with
| [] -> None
| hd::tl -> if n = 0 then Some hd else nth tl (n - 1)
(** [index l n] returns the [n]-th element in list [l] (with the first
element being the 0-th). Requires, at type-checking time, that [l] be
of length at least [n+1]. *)
val index: #a:Type -> l:list a -> i:nat{i < length l} -> Tot a
let rec index #a (l: list a) (i:nat{i < length l}): Tot a =
if i = 0 then
hd l
else
index (tl l) (i - 1)
(** [count x l] returns the number of occurrences of [x] in
[l]. Requires, at type-checking time, the type of [a] to have equality
defined. Similar to: [List.count_occ] in Coq. *)
val count: #a:eqtype -> a -> list a -> Tot nat
let rec count #a x = function
| [] -> 0
| hd::tl -> if x=hd then 1 + count x tl else count x tl
(** [rev_acc l1 l2] appends the elements of [l1] to the beginning of
[l2], in reverse order. It is equivalent to [append (rev l1) l2], but
is tail-recursive. Similar to: [List.rev_append] in OCaml, Coq. *)
val rev_acc: list 'a -> list 'a -> Tot (list 'a)
let rec rev_acc l acc = match l with
| [] -> acc
| hd::tl -> rev_acc tl (hd::acc)
(** [rev l] returns the list [l] in reverse order. Named as in: OCaml,
F#, Coq. *)
val rev: list 'a -> Tot (list 'a)
let rev l = rev_acc l []
(** [append l1 l2] appends the elements of [l2] to the end of [l1]. Named as: OCaml, F#. Similar to: [List.app] in Coq. *)
val append: list 'a -> list 'a -> Tot (list 'a)
let rec append x y = match x with
| [] -> y
| a::tl -> a::append tl y
(** Defines notation [@@] for [append], as in OCaml, F# . *)
let op_At x y = append x y
(** [snoc (l, x)] adds [x] to the end of the list [l].
Note: We use an uncurried [snoc (l, x)] instead of the curried
[snoc l x]. This is intentional. If [snoc] takes a pair instead
of 2 arguments, it allows for a better pattern on
[lemma_unsnoc_snoc], which connects [snoc] and [unsnoc]. In
particular, if we had two arguments, then either the pattern would
either be too restrictive or would lead to over-triggering. More
context for this can be seen in the (collapsed and uncollapsed)
comments at https://github.com/FStarLang/FStar/pull/1560 *)
val snoc: (list 'a * 'a) -> Tot (list 'a)
let snoc (l, x) = append l [x]
(** [flatten l], where [l] is a list of lists, returns the list of the
elements of the lists in [l], preserving their order. Named as in:
OCaml, Coq. *)
val flatten: list (list 'a) -> Tot (list 'a)
let rec flatten l = match l with
| [] -> []
| hd::tl -> append hd (flatten tl)
(** [map f l] applies [f] to each element of [l] and returns the list
of results, in the order of the original elements in [l]. Requires, at
type-checking time, [f] to be a pure total function. Named as in: OCaml, Coq, F# *)
val map: ('a -> Tot 'b) -> list 'a -> Tot (list 'b)
let rec map f x = match x with
| [] -> []
| a::tl -> f a::map f tl
(** [mapi_init f l n] applies, for each [k], [f (n+k)] to the [k]-th
element of [l] and returns the list of results, in the order of the
original elements in [l]. Requires, at type-checking time, [f] to be a
pure total function. *)
val mapi_init: (int -> 'a -> Tot 'b) -> list 'a -> int -> Tot (list 'b)
let rec mapi_init f l i = match l with
| [] -> []
| hd::tl -> (f i hd)::(mapi_init f tl (i+1))
(** [mapi f l] applies, for each [k], [f k] to the [k]-th element of
[l] and returns the list of results, in the order of the original
elements in [l]. Requires, at type-checking time, [f] to be a pure
total function. Named as in: OCaml *)
val mapi: (int -> 'a -> Tot 'b) -> list 'a -> Tot (list 'b)
let mapi f l = mapi_init f l 0
(** [concatMap f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. This is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. *)
val concatMap: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec concatMap f = function
| [] -> []
| a::tl ->
let fa = f a in
let ftl = concatMap f tl in
append fa ftl
(** [fold_left f x [y1; y2; ...; yn]] computes (f (... (f x y1) y2)
... yn). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq. *)
val fold_left: ('a -> 'b -> Tot 'a) -> 'a -> l:list 'b -> Tot 'a (decreases l)
let rec fold_left f x l = match l with
| [] -> x
| hd::tl -> fold_left f (f x hd) tl
(** [fold_right f [x1; x2; ...; xn] y] computes (f x1 (f x2 (... (f xn
y)) ... )). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq *)
val fold_right: ('a -> 'b -> Tot 'b) -> list 'a -> 'b -> Tot 'b
let rec fold_right f l x = match l with
| [] -> x
| hd::tl -> f hd (fold_right f tl x)
(** [fold_right_gtot] is just like [fold_right], except `f` is
a ghost function **)
let rec fold_right_gtot (#a:Type) (#b:Type) (l:list a) (f:a -> b -> GTot b) (x:b)
: GTot b
= match l with
| [] -> x
| hd::tl -> f hd (fold_right_gtot tl f x)
(* We define map in terms of fold, to share simple lemmas *)
let map_gtot #a #b (f:a -> GTot b) (x:list a)
: GTot (list b)
= fold_right_gtot x (fun x tl -> f x :: tl) []
(** [fold_left2 f x [y1; y2; ...; yn] [z1; z2; ...; zn]] computes (f
(... (f x y1 z1) y2 z2) ... yn zn). Requires, at type-checking time,
[f] to be a pure total function, and the lists [y1; y2; ...; yn] and
[z1; z2; ...; zn] to have the same lengths. Named as in: OCaml *)
val fold_left2 : f:('a -> 'b -> 'c -> Tot 'a) -> accu:'a -> l1:(list 'b) -> l2:(list 'c) -> | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.List.Tot.Base.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"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 | f: (_: 'a -> _: 'b -> _: 'c -> 'a) -> accu: 'a -> l1: Prims.list 'b -> l2: Prims.list 'c
-> Prims.Pure 'a | Prims.Pure | [
""
] | [] | [
"Prims.list",
"FStar.Pervasives.Native.Mktuple2",
"FStar.List.Tot.Base.fold_left2"
] | [
"recursion"
] | false | false | false | false | false | let rec fold_left2 f accu l1 l2 =
| match (l1, l2) with
| [], [] -> accu
| a1 :: l1, a2 :: l2 -> fold_left2 f (f accu a1 a2) l1 l2 | false |
Vale.X64.InsAes.fst | Vale.X64.InsAes.va_code_AESNI_enc | val va_code_AESNI_enc : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code | val va_code_AESNI_enc : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code | let va_code_AESNI_enc dst src =
(mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src))) | {
"file_name": "obj/Vale.X64.InsAes.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 63,
"end_line": 89,
"start_col": 0,
"start_line": 88
} | module Vale.X64.InsAes
open Vale.Def.Types_s
open Vale.X64.Machine_s
open Vale.X64
open Vale.X64.State
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.Decls
open Vale.X64.CPU_Features_s
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
module P = Vale.X64.Print_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 4 --max_fuel 4 --z3rlimit 20"
//-- Pclmulqdq
[@ "opaque_to_smt"]
let va_code_Pclmulqdq dst src dstHi srcHi =
(mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16 else 0)))
(OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_Pclmulqdq dst src dstHi srcHi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Pclmulqdq va_b0 va_s0 dst src dstHi srcHi =
va_reveal_opaque (`%va_code_Pclmulqdq) (va_code_Pclmulqdq dst src dstHi srcHi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16
else 0))) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) +
(if srcHi then 16 else 0))) (OReg dst) (OReg src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Pclmulqdq dst src dstHi srcHi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Pclmulqdq (va_code_Pclmulqdq dst src dstHi srcHi) va_s0 dst src
dstHi srcHi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VPclmulqdq
[@ "opaque_to_smt"]
let va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then 16 else 0)))
(OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VPclmulqdq va_b0 va_s0 dst src1 src2 src1Hi src2Hi =
va_reveal_opaque (`%va_code_VPclmulqdq) (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then
16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0)
+ (if src2Hi then 16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VPclmulqdq dst src1 src2 src1Hi src2Hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VPclmulqdq (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi) va_s0
dst src1 src2 src1Hi src2Hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.State.fsti.checked",
"Vale.X64.Print_s.fst.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.AES.AES_s.fst.checked",
"Vale.AES.AES_common_s.fst.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsAes.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Print_s",
"short_module": "P"
},
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"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.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"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": 4,
"initial_ifuel": 0,
"max_fuel": 4,
"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 | dst: Vale.X64.Decls.va_operand_xmm -> src: Vale.X64.Decls.va_operand_xmm -> Vale.X64.Decls.va_code | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.Decls.va_operand_xmm",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.inOut",
"Vale.X64.Instruction_s.opXmm",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_AESNI_enc",
"Vale.X64.Machine_s.OReg",
"Vale.X64.Machine_s.quad32",
"Vale.X64.Machine_s.reg_xmm",
"Vale.X64.Decls.va_code"
] | [] | false | false | false | true | false | let va_code_AESNI_enc dst src =
| (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src))) | false |
Vale.X64.InsAes.fst | Vale.X64.InsAes.va_lemma_AESNI_enc | val va_lemma_AESNI_enc : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm -> src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_enc dst src) va_s0 /\ va_is_dst_xmm dst va_s0 /\
va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_s.mix_columns_LE
(Vale.AES.AES_common_s.sub_bytes (Vale.AES.AES_s.shift_rows_LE (va_eval_xmm va_s0 dst))))
(va_eval_xmm va_s0 src) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM
(va_update_operand_xmm dst va_sM va_s0))))) | val va_lemma_AESNI_enc : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm -> src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_enc dst src) va_s0 /\ va_is_dst_xmm dst va_s0 /\
va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_s.mix_columns_LE
(Vale.AES.AES_common_s.sub_bytes (Vale.AES.AES_s.shift_rows_LE (va_eval_xmm va_s0 dst))))
(va_eval_xmm va_s0 src) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM
(va_update_operand_xmm dst va_sM va_s0))))) | let va_lemma_AESNI_enc va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc) (va_code_AESNI_enc dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM) | {
"file_name": "obj/Vale.X64.InsAes.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 102,
"start_col": 0,
"start_line": 96
} | module Vale.X64.InsAes
open Vale.Def.Types_s
open Vale.X64.Machine_s
open Vale.X64
open Vale.X64.State
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.Decls
open Vale.X64.CPU_Features_s
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
module P = Vale.X64.Print_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 4 --max_fuel 4 --z3rlimit 20"
//-- Pclmulqdq
[@ "opaque_to_smt"]
let va_code_Pclmulqdq dst src dstHi srcHi =
(mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16 else 0)))
(OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_Pclmulqdq dst src dstHi srcHi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Pclmulqdq va_b0 va_s0 dst src dstHi srcHi =
va_reveal_opaque (`%va_code_Pclmulqdq) (va_code_Pclmulqdq dst src dstHi srcHi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16
else 0))) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) +
(if srcHi then 16 else 0))) (OReg dst) (OReg src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Pclmulqdq dst src dstHi srcHi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Pclmulqdq (va_code_Pclmulqdq dst src dstHi srcHi) va_s0 dst src
dstHi srcHi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VPclmulqdq
[@ "opaque_to_smt"]
let va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then 16 else 0)))
(OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VPclmulqdq va_b0 va_s0 dst src1 src2 src1Hi src2Hi =
va_reveal_opaque (`%va_code_VPclmulqdq) (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then
16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0)
+ (if src2Hi then 16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VPclmulqdq dst src1 src2 src1Hi src2Hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VPclmulqdq (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi) va_s0
dst src1 src2 src1Hi src2Hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc
[@ "opaque_to_smt"]
let va_code_AESNI_enc dst src =
(mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc dst src =
(va_ttrue ()) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.State.fsti.checked",
"Vale.X64.Print_s.fst.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.AES.AES_s.fst.checked",
"Vale.AES.AES_common_s.fst.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsAes.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Print_s",
"short_module": "P"
},
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"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.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"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": 4,
"initial_ifuel": 0,
"max_fuel": 4,
"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 |
va_b0: Vale.X64.Decls.va_code ->
va_s0: Vale.X64.Decls.va_state ->
dst: Vale.X64.Decls.va_operand_xmm ->
src: Vale.X64.Decls.va_operand_xmm
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.Decls.va_operand_xmm",
"Vale.X64.State.vale_state",
"Vale.X64.Lemmas.fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.tuple2",
"Prims.nat",
"Vale.X64.Decls.va_eval_ins",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.inOut",
"Vale.X64.Instruction_s.opXmm",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_AESNI_enc",
"Vale.X64.Machine_s.OReg",
"Vale.X64.Machine_s.quad32",
"Vale.X64.Machine_s.reg_xmm",
"Prims.unit",
"Vale.X64.Decls.va_ins_lemma",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.InsAes.va_code_AESNI_enc"
] | [] | false | false | false | false | false | let va_lemma_AESNI_enc va_b0 va_s0 dst src =
| va_reveal_opaque (`%va_code_AESNI_enc) (va_code_AESNI_enc dst src);
let va_old_s:va_state = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src))) va_s0;
let va_sM, va_fM =
va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src))) va_s0
in
(va_sM, va_fM) | false |
FStar.List.Tot.Base.fst | FStar.List.Tot.Base.unzip | val unzip : l: Prims.list (_ * _) -> Prims.list _ * Prims.list _ | let unzip l = split l | {
"file_name": "ulib/FStar.List.Tot.Base.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 21,
"end_line": 426,
"start_col": 0,
"start_line": 426
} | (*
Copyright 2008-2014 Nikhil Swamy and 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.
*)
(**
This module defines all pure and total operations on lists that can be
used in specifications. It is implemented by FStar_List_Tot_Base.ml, any
functional change and/or the addition of new functions MUST be reflected
there.
@summary Pure total operations on lists
*)
module FStar.List.Tot.Base
(**
Base operations
*)
(** [isEmpty l] returns [true] if and only if [l] is empty *)
val isEmpty: list 'a -> Tot bool
let isEmpty l = match l with
| [] -> true
| _ -> false
(** [hd l] returns the first element of [l]. Requires [l] to be
nonempty, at type-checking time. Named as in: OCaml, F#, Coq *)
val hd: l:list 'a{Cons? l} -> Tot 'a
let hd = function
| hd::_ -> hd
(** [tail l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Similar to: tl in OCaml, F#, Coq
*)
val tail: l:list 'a {Cons? l} -> Tot (list 'a)
let tail = function
| _::tl -> tl
(** [tl l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Named as in: OCaml, F#, Coq
*)
val tl: l:list 'a {Cons? l} -> Tot (list 'a)
let tl = tail
(** [last l] returns the last element of [l]. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val last: l:list 'a {Cons? l} -> Tot 'a
let rec last = function
| [hd] -> hd
| _::tl -> last tl
(** [init l] returns [l] without its last element. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val init: l:list 'a {Cons? l} -> Tot (list 'a)
let rec init = function
| [_] -> []
| hd::tl -> hd::(init tl)
(** [length l] returns the total number of elements in [l]. Named as
in: OCaml, F#, Coq *)
val length: list 'a -> Tot nat
let rec length = function
| [] -> 0
| _::tl -> 1 + length tl
(** [nth l n] returns the [n]-th element in list [l] (with the first
element being the 0-th) if [l] is long enough, or [None]
otherwise. Named as in: OCaml, F#, Coq *)
val nth: list 'a -> nat -> Tot (option 'a)
let rec nth l n = match l with
| [] -> None
| hd::tl -> if n = 0 then Some hd else nth tl (n - 1)
(** [index l n] returns the [n]-th element in list [l] (with the first
element being the 0-th). Requires, at type-checking time, that [l] be
of length at least [n+1]. *)
val index: #a:Type -> l:list a -> i:nat{i < length l} -> Tot a
let rec index #a (l: list a) (i:nat{i < length l}): Tot a =
if i = 0 then
hd l
else
index (tl l) (i - 1)
(** [count x l] returns the number of occurrences of [x] in
[l]. Requires, at type-checking time, the type of [a] to have equality
defined. Similar to: [List.count_occ] in Coq. *)
val count: #a:eqtype -> a -> list a -> Tot nat
let rec count #a x = function
| [] -> 0
| hd::tl -> if x=hd then 1 + count x tl else count x tl
(** [rev_acc l1 l2] appends the elements of [l1] to the beginning of
[l2], in reverse order. It is equivalent to [append (rev l1) l2], but
is tail-recursive. Similar to: [List.rev_append] in OCaml, Coq. *)
val rev_acc: list 'a -> list 'a -> Tot (list 'a)
let rec rev_acc l acc = match l with
| [] -> acc
| hd::tl -> rev_acc tl (hd::acc)
(** [rev l] returns the list [l] in reverse order. Named as in: OCaml,
F#, Coq. *)
val rev: list 'a -> Tot (list 'a)
let rev l = rev_acc l []
(** [append l1 l2] appends the elements of [l2] to the end of [l1]. Named as: OCaml, F#. Similar to: [List.app] in Coq. *)
val append: list 'a -> list 'a -> Tot (list 'a)
let rec append x y = match x with
| [] -> y
| a::tl -> a::append tl y
(** Defines notation [@@] for [append], as in OCaml, F# . *)
let op_At x y = append x y
(** [snoc (l, x)] adds [x] to the end of the list [l].
Note: We use an uncurried [snoc (l, x)] instead of the curried
[snoc l x]. This is intentional. If [snoc] takes a pair instead
of 2 arguments, it allows for a better pattern on
[lemma_unsnoc_snoc], which connects [snoc] and [unsnoc]. In
particular, if we had two arguments, then either the pattern would
either be too restrictive or would lead to over-triggering. More
context for this can be seen in the (collapsed and uncollapsed)
comments at https://github.com/FStarLang/FStar/pull/1560 *)
val snoc: (list 'a * 'a) -> Tot (list 'a)
let snoc (l, x) = append l [x]
(** [flatten l], where [l] is a list of lists, returns the list of the
elements of the lists in [l], preserving their order. Named as in:
OCaml, Coq. *)
val flatten: list (list 'a) -> Tot (list 'a)
let rec flatten l = match l with
| [] -> []
| hd::tl -> append hd (flatten tl)
(** [map f l] applies [f] to each element of [l] and returns the list
of results, in the order of the original elements in [l]. Requires, at
type-checking time, [f] to be a pure total function. Named as in: OCaml, Coq, F# *)
val map: ('a -> Tot 'b) -> list 'a -> Tot (list 'b)
let rec map f x = match x with
| [] -> []
| a::tl -> f a::map f tl
(** [mapi_init f l n] applies, for each [k], [f (n+k)] to the [k]-th
element of [l] and returns the list of results, in the order of the
original elements in [l]. Requires, at type-checking time, [f] to be a
pure total function. *)
val mapi_init: (int -> 'a -> Tot 'b) -> list 'a -> int -> Tot (list 'b)
let rec mapi_init f l i = match l with
| [] -> []
| hd::tl -> (f i hd)::(mapi_init f tl (i+1))
(** [mapi f l] applies, for each [k], [f k] to the [k]-th element of
[l] and returns the list of results, in the order of the original
elements in [l]. Requires, at type-checking time, [f] to be a pure
total function. Named as in: OCaml *)
val mapi: (int -> 'a -> Tot 'b) -> list 'a -> Tot (list 'b)
let mapi f l = mapi_init f l 0
(** [concatMap f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. This is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. *)
val concatMap: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec concatMap f = function
| [] -> []
| a::tl ->
let fa = f a in
let ftl = concatMap f tl in
append fa ftl
(** [fold_left f x [y1; y2; ...; yn]] computes (f (... (f x y1) y2)
... yn). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq. *)
val fold_left: ('a -> 'b -> Tot 'a) -> 'a -> l:list 'b -> Tot 'a (decreases l)
let rec fold_left f x l = match l with
| [] -> x
| hd::tl -> fold_left f (f x hd) tl
(** [fold_right f [x1; x2; ...; xn] y] computes (f x1 (f x2 (... (f xn
y)) ... )). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq *)
val fold_right: ('a -> 'b -> Tot 'b) -> list 'a -> 'b -> Tot 'b
let rec fold_right f l x = match l with
| [] -> x
| hd::tl -> f hd (fold_right f tl x)
(** [fold_right_gtot] is just like [fold_right], except `f` is
a ghost function **)
let rec fold_right_gtot (#a:Type) (#b:Type) (l:list a) (f:a -> b -> GTot b) (x:b)
: GTot b
= match l with
| [] -> x
| hd::tl -> f hd (fold_right_gtot tl f x)
(* We define map in terms of fold, to share simple lemmas *)
let map_gtot #a #b (f:a -> GTot b) (x:list a)
: GTot (list b)
= fold_right_gtot x (fun x tl -> f x :: tl) []
(** [fold_left2 f x [y1; y2; ...; yn] [z1; z2; ...; zn]] computes (f
(... (f x y1 z1) y2 z2) ... yn zn). Requires, at type-checking time,
[f] to be a pure total function, and the lists [y1; y2; ...; yn] and
[z1; z2; ...; zn] to have the same lengths. Named as in: OCaml *)
val fold_left2 : f:('a -> 'b -> 'c -> Tot 'a) -> accu:'a -> l1:(list 'b) -> l2:(list 'c) ->
Pure 'a (requires (length l1 == length l2)) (ensures (fun _ -> True)) (decreases l1)
let rec fold_left2 f accu l1 l2 =
match (l1, l2) with
| ([], []) -> accu
| (a1::l1, a2::l2) -> fold_left2 f (f accu a1 a2) l1 l2
(** Propositional membership (as in Coq). Does not require decidable
equality. *)
(** [memP x l] holds if, and only if, [x] appears as an
element of [l]. Similar to: List.In in Coq. *)
let rec memP (#a: Type) (x: a) (l: list a) : Tot Type0 =
match l with
| [] -> False
| y :: q -> x == y \/ memP x q
(** List searching **)
(** [mem x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. Named as in: OCaml. See also:
List.In in Coq, which is propositional. *)
val mem: #a:eqtype -> a -> list a -> Tot bool
let rec mem #a x = function
| [] -> false
| hd::tl -> if hd = x then true else mem x tl
(** [contains x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. It is equivalent to: [mem x
l]. TODO: should we rather swap the order of arguments? *)
let contains : #a:eqtype -> a -> list a -> Tot bool = mem
(** [existsb f l] returns [true] if, and only if, there exists some
element [x] in [l] such that [f x] holds. *)
val existsb: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot bool
let rec existsb #a f l = match l with
| [] -> false
| hd::tl -> if f hd then true else existsb f tl
(** [find f l] returns [Some x] for some element [x] appearing in [l]
such that [f x] holds, or [None] only if no such [x] exists. *)
val find: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot (option (x:a{f x}))
let rec find #a f l = match l with
| [] -> None #(x:a{f x}) //These type annotations are only present because it makes bootstrapping go much faster
| hd::tl -> if f hd then Some #(x:a{f x}) hd else find f tl
(** Filtering elements of a list [l] through a Boolean pure total
predicate [f] *)
(** [filter f l] returns [l] with all elements [x] such that [f x]
does not hold removed. Requires, at type-checking time, [f] to be a
pure total function. Named as in: OCaml, Coq *)
val filter : #a: Type -> f:(a -> Tot bool) -> l: list a -> Tot (m:list a{forall x. memP x m ==> f x})
let rec filter #a f = function
| [] -> []
| hd::tl -> if f hd then hd::filter f tl else filter f tl
(** Postcondition on [filter f l]: for any element [x] of [filter f l],
[f x] holds. Requires, at type-checking time, [f] to be a pure total
function.*)
val mem_filter (#a:Type) (f: (a -> Tot bool)) (l: list a) (x: a) : Lemma
(requires (memP x (filter f l)))
(ensures (f x))
let mem_filter f l x = ()
(** Postcondition on [filter f l]: stated with [forall]: for any element
[x] of [filter f l], [f x] holds. Requires, at type-checking time, [f]
to be a pure total function. *)
val mem_filter_forall (#a:Type) (f: (a -> Tot bool)) (l: list a) : Lemma
(requires True)
(ensures (forall x . memP x (filter f l) ==> f x))
[SMTPat (filter f l)]
let mem_filter_forall f l = FStar.Classical.ghost_lemma (mem_filter f l)
(** [for_all f l] returns [true] if, and only if, for all elements [x]
appearing in [l], [f x] holds. Requires, at type-checking time, [f] to
be a pure total function. Named as in: OCaml. Similar to: List.forallb
in Coq *)
val for_all: ('a -> Tot bool) -> list 'a -> Tot bool
let rec for_all f l = match l with
| [] -> true
| hd::tl -> if f hd then for_all f tl else false
(** Specification for [for_all f l] vs. mem *)
let rec for_all_mem
(#a: Type)
(f: (a -> Tot bool))
(l: list a)
: Lemma
(for_all f l <==> (forall x . memP x l ==> f x))
= match l with
| [] -> ()
| _ :: q -> for_all_mem f q
(** [collect f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. It is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. TODO: what is
the difference with [concatMap]? *)
val collect: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec collect f l = match l with
| [] -> []
| hd::tl -> append (f hd) (collect f tl)
(** [tryFind f l] returns [Some x] for some element [x] appearing in
[l] such that [f x] holds, or [None] only if no such [x]
exists. Requires, at type-checking time, [f] to be a pure total
function. Contrary to [find], [tryFind] provides no postcondition on
its result. *)
val tryFind: ('a -> Tot bool) -> list 'a -> Tot (option 'a)
let rec tryFind p l = match l with
| [] -> None
| hd::tl -> if p hd then Some hd else tryFind p tl
(** [tryPick f l] returns [y] for some element [x] appearing in [l]
such that [f x = Some y] for some y, or [None] only if [f x = None]
for all elements [x] of [l]. Requires, at type-checking time, [f] to
be a pure total function. *)
val tryPick: ('a -> Tot (option 'b)) -> list 'a -> Tot (option 'b)
let rec tryPick f l = match l with
| [] -> None
| hd::tl ->
match f hd with
| Some x -> Some x
| None -> tryPick f tl
(** [choose f l] returns the list of [y] for all elements [x]
appearing in [l] such that [f x = Some y] for some [y]. Requires, at
type-checking time, [f] to be a pure total function. *)
val choose: ('a -> Tot (option 'b)) -> list 'a -> Tot (list 'b)
let rec choose f l = match l with
| [] -> []
| hd::tl ->
match f hd with
| Some x -> x::(choose f tl)
| None -> choose f tl
(** [partition f l] returns the pair of lists [(l1, l2)] where all
elements [x] of [l] are in [l1] if [f x] holds, and in [l2]
otherwise. Both [l1] and [l2] retain the original order of
[l]. Requires, at type-checking time, [f] to be a pure total
function. *)
val partition: f:('a -> Tot bool) -> list 'a -> Tot (list 'a * list 'a)
let rec partition f = function
| [] -> [], []
| hd::tl ->
let l1, l2 = partition f tl in
if f hd
then hd::l1, l2
else l1, hd::l2
(** [subset la lb] is true if and only if all the elements from [la]
are also in [lb]. Requires, at type-checking time, the type of
elements of [la] and [lb] to have decidable equality. *)
val subset: #a:eqtype -> list a -> list a -> Tot bool
let rec subset #a la lb =
match la with
| [] -> true
| h :: tl -> mem h lb && subset tl lb
(** [noRepeats l] returns [true] if, and only if, no element of [l]
appears in [l] more than once. Requires, at type-checking time, the
type of elements of [la] and [lb] to have decidable equality. *)
val noRepeats : #a:eqtype -> list a -> Tot bool
let rec noRepeats #a la =
match la with
| [] -> true
| h :: tl -> not(mem h tl) && noRepeats tl
(** [no_repeats_p l] valid if, and only if, no element of [l]
appears in [l] more than once. *)
val no_repeats_p : #a:Type -> list a -> Tot prop
let rec no_repeats_p #a la =
match la with
| [] -> True
| h :: tl -> ~(memP h tl) /\ no_repeats_p tl
(** List of tuples **)
(** [assoc x l] returns [Some y] where [(x, y)] is the first element
of [l] whose first element is [x], or [None] only if no such element
exists. Requires, at type-checking time, the type of [x] to have
decidable equality. Named as in: OCaml. *)
val assoc: #a:eqtype -> #b:Type -> a -> list (a * b) -> Tot (option b)
let rec assoc #a #b x = function
| [] -> None
| (x', y)::tl -> if x=x' then Some y else assoc x tl
(** [split] takes a list of pairs [(x1, y1), ..., (xn, yn)] and
returns the pair of lists ([x1, ..., xn], [y1, ..., yn]). Named as in:
OCaml *)
val split: list ('a * 'b) -> Tot (list 'a * list 'b)
let rec split l = match l with
| [] -> ([],[])
| (hd1,hd2)::tl ->
let (tl1,tl2) = split tl in
(hd1::tl1,hd2::tl2)
(** [unzip] takes a list of pairs [(x1, y1), ..., (xn, yn)] and
returns the pair of lists ([x1, ..., xn], [y1, ..., yn]). Named as in: | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.List.Tot.Base.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"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 | l: Prims.list (_ * _) -> Prims.list _ * Prims.list _ | Prims.Tot | [
"total"
] | [] | [
"Prims.list",
"FStar.Pervasives.Native.tuple2",
"FStar.List.Tot.Base.split"
] | [] | false | false | false | true | false | let unzip l =
| split l | false |
|
Vale.PPC64LE.Memory_Sems.fst | Vale.PPC64LE.Memory_Sems.low_lemma_store_mem128_full | val low_lemma_store_mem128_full (b:buffer128) (i:nat) (v:quad32) (vfh:vale_full_heap) (t:taint) (hid:heaplet_id) : Lemma
(requires (
let (h, mt) = (Map16.get vfh.vf_heaplets hid, vfh.vf_layout.vl_taint) in
i < Seq.length (buffer_as_seq h b) /\
buffer_readable h b /\
buffer_writeable b /\
valid_layout_buffer b vfh.vf_layout h true /\
valid_taint_buf128 b h mt t /\
mem_inv vfh
))
(ensures (
let h = Map16.get vfh.vf_heaplets hid in
let ptr = buffer_addr b h + scale16 i in
buffer_addr b vfh.vf_heap == buffer_addr b h /\
valid_addr128 ptr (heap_get (coerce vfh)) /\
is_full_update vfh (buffer_write b i v h) hid
(S.update_heap128 ptr v (heap_get (coerce vfh)))
(S.update_n ptr 16 (heap_taint (coerce vfh)) t)
)) | val low_lemma_store_mem128_full (b:buffer128) (i:nat) (v:quad32) (vfh:vale_full_heap) (t:taint) (hid:heaplet_id) : Lemma
(requires (
let (h, mt) = (Map16.get vfh.vf_heaplets hid, vfh.vf_layout.vl_taint) in
i < Seq.length (buffer_as_seq h b) /\
buffer_readable h b /\
buffer_writeable b /\
valid_layout_buffer b vfh.vf_layout h true /\
valid_taint_buf128 b h mt t /\
mem_inv vfh
))
(ensures (
let h = Map16.get vfh.vf_heaplets hid in
let ptr = buffer_addr b h + scale16 i in
buffer_addr b vfh.vf_heap == buffer_addr b h /\
valid_addr128 ptr (heap_get (coerce vfh)) /\
is_full_update vfh (buffer_write b i v h) hid
(S.update_heap128 ptr v (heap_get (coerce vfh)))
(S.update_n ptr 16 (heap_taint (coerce vfh)) t)
)) | let low_lemma_store_mem128_full b i v vfh t hid =
let (h, mt, hk) = (vfh.vf_heap, vfh.vf_layout.vl_taint, Map16.get vfh.vf_heaplets hid) in
let ptr = buffer_addr b hk + scale16 i in
let mh' = S.update_heap128 ptr v (heap_get (coerce vfh)) in
let mt' = S.update_n ptr 16 (heap_taint (coerce vfh)) t in
let hk' = buffer_write b i v hk in
let mhk' = S.update_heap128 ptr v (get_heap hk) in
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
low_lemma_store_mem128 b i v h;
low_lemma_store_mem128 b i v (Map16.get vfh.vf_heaplets hid);
Vale.Arch.MachineHeap.frame_update_heap128 ptr v h.mh;
Vale.Arch.MachineHeap.frame_update_heap128 ptr v hk.mh;
in_bounds128 hk b i;
Vale.Arch.MachineHeap.same_mem_get_heap_val128 ptr mh' mhk';
lemma_is_full_update vfh h hk hk' hid h.mh mh' hk.mh mhk' mt mt' TUInt128 b ptr 16 i v t;
() | {
"file_name": "vale/code/arch/ppc64le/Vale.PPC64LE.Memory_Sems.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 4,
"end_line": 1007,
"start_col": 0,
"start_line": 992
} | module Vale.PPC64LE.Memory_Sems
open FStar.Mul
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.Def.Words_s
module I = Vale.Interop
module S = Vale.PPC64LE.Semantics_s
module MB = LowStar.Monotonic.Buffer
module UV = LowStar.BufferView.Up
module DV = LowStar.BufferView.Down
open Vale.Lib.BufferViewHelpers
open Vale.Arch.HeapImpl
open Vale.Arch.Heap
friend Vale.PPC64LE.Memory
module IB = Vale.Interop.Base
let same_domain h m = Set.equal (IB.addrs_set (_ih h)) (Map.domain m)
let lemma_same_domains h m1 m2 = ()
let get_heap h = I.down_mem (_ih h)
let upd_heap h m = mi_heap_upd h m
//let lemma_upd_get_heap h = I.down_up_identity (_ih h)
let lemma_get_upd_heap h m = I.up_down_identity (_ih h) m
let lemma_heap_impl = ()
let lemma_heap_get_heap h = ()
let lemma_heap_taint h = ()
//let lemma_heap_upd_heap h mh mt = ()
[@"opaque_to_smt"]
let rec set_of_range (a:int) (n:nat) : Pure (Set.set int)
(requires True)
(ensures fun s -> (forall (i:int).{:pattern Set.mem i s} Set.mem i s <==> a <= i /\ i < a + n))
=
if n = 0 then Set.empty else Set.union (set_of_range a (n - 1)) (Set.singleton (a + n - 1))
let buffer_info_has_addr (bi:buffer_info) (a:int) =
let b = bi.bi_buffer in
let addr = Vale.Interop.Heap_s.global_addrs_map b in
let len = DV.length (get_downview b.bsrc) in
addr <= a /\ a < addr + len
let buffer_info_has_addr_opt (bi:option buffer_info) (a:int) =
match bi with
| None -> False
| Some bi -> buffer_info_has_addr bi a
#set-options "--z3rlimit 100"
let rec make_owns_rec (h:vale_heap) (bs:Seq.seq buffer_info) (n:nat{n <= Seq.length bs}) :
GTot ((int -> option (n:nat{n < Seq.length bs})) & (heaplet_id -> Set.set int))
=
if n = 0 then ((fun _ -> None), (fun _ -> Set.empty)) else
let (m0, s0) = make_owns_rec h bs (n - 1) in
let bi = Seq.index bs (n - 1) in
let b = bi.bi_buffer in
let hi = bi.bi_heaplet in
let addr = Vale.Interop.Heap_s.global_addrs_map b in
let len = DV.length (get_downview b.bsrc) in
let s_b = set_of_range addr len in
let s i = if i = hi then Set.union (s0 i) s_b else s0 i in
let m a = if addr <= a && a < addr + len then Some (n - 1) else m0 a in
(m, s)
[@"opaque_to_smt"]
let make_owns (h:vale_heap) (bs:Seq.seq buffer_info) (n:nat{n <= Seq.length bs}) :
GTot ((int -> option (n:nat{n < Seq.length bs})) & (heaplet_id -> Set.set int))
=
make_owns_rec h bs n
let rec lemma_make_owns (h:vale_heap) (bs:Seq.seq buffer_info) (n:nat) : Lemma
(requires
n <= Seq.length bs /\
(forall (i:nat).{:pattern Seq.index bs i} i < Seq.length bs ==> buffer_readable h (Seq.index bs i).bi_buffer) /\
(forall (i1 i2:nat).{:pattern (Seq.index bs i1); (Seq.index bs i2)}
i1 < Seq.length bs /\ i2 < Seq.length bs ==> buffer_info_disjoint (Seq.index bs i1) (Seq.index bs i2))
)
(ensures (
let (m, s) = make_owns h bs n in
(forall (i:heaplet_id) (a:int).{:pattern Set.mem a (s i)}
(Set.mem a (s i) <==> Option.mapTot (fun n -> (Seq.index bs n).bi_heaplet) (m a) == Some i) /\
(Set.mem a (s i) ==> buffer_info_has_addr_opt (Option.mapTot (fun n -> Seq.index bs n) (m a)) a) /\
(Set.mem a (s i) ==> Set.mem a (Map.domain h.mh))
) /\
(forall (k:nat) (a:int).{:pattern Set.mem a (s (Seq.index bs k).bi_heaplet)}
k < n /\ buffer_info_has_addr (Seq.index bs k) a ==> Set.mem a (s (Seq.index bs k).bi_heaplet))
))
=
reveal_opaque (`%make_owns) make_owns;
if n = 0 then () else
let _ = make_owns h bs (n - 1) in
let (m, s) = make_owns h bs n in
lemma_make_owns h bs (n - 1);
let bi = Seq.index bs (n - 1) in
let b = bi.bi_buffer in
let hi = bi.bi_heaplet in
let addr = Vale.Interop.Heap_s.global_addrs_map b in
let len = DV.length (get_downview b.bsrc) in
let s_b = set_of_range addr len in
let lem1 (a:int) : Lemma
(requires Set.mem a s_b)
(ensures Set.mem a (Map.domain h.mh))
[SMTPat (Set.mem a (Map.domain h.mh))]
=
I.addrs_set_mem h.ih b a
in
let lem2 (i:heaplet_id) (a:int) : Lemma
(requires i =!= hi /\ Set.mem a (Set.intersect s_b (s i)))
(ensures False)
[SMTPat (Set.mem a (s i))]
=
reveal_opaque (`%addr_map_pred) addr_map_pred
in
()
#push-options "--initial_fuel 1 --max_fuel 1 --initial_ifuel 2 --max_ifuel 2"
let rec lemma_loc_mutable_buffers_rec (l:list buffer_info) (s:Seq.seq buffer_info) (n:nat) : Lemma
(requires
n + List.length l == Seq.length s /\
list_to_seq_post l s n
)
(ensures (
let modloc = loc_mutable_buffers l in
forall (i:nat).{:pattern Seq.index s i} n <= i /\ i < Seq.length s ==> (
let bi = Seq.index s i in
bi.bi_mutable == Mutable ==> loc_includes modloc (loc_buffer bi.bi_buffer))
))
(decreases l)
=
match l with
| [] -> ()
| h::t -> lemma_loc_mutable_buffers_rec t s (n + 1)
#pop-options
let lemma_loc_mutable_buffers (l:list buffer_info) : Lemma
(ensures (
let s = list_to_seq l in
forall (i:nat).{:pattern Seq.index s i} i < Seq.length s ==> (
let bi = Seq.index s i in
bi.bi_mutable == Mutable ==> loc_includes (loc_mutable_buffers l) (loc_buffer bi.bi_buffer))
))
=
lemma_list_to_seq l;
lemma_loc_mutable_buffers_rec l (list_to_seq l) 0
let create_heaplets buffers h1 =
let bs = list_to_seq buffers in
let modloc = loc_mutable_buffers buffers in
let layout1 = h1.vf_layout in
let layin1 = layout1.vl_inner in
let (hmap, hsets) = make_owns h1.vf_heap bs (Seq.length bs) in
let hmap a = Option.mapTot (fun n -> (Seq.index bs n).bi_heaplet) (hmap a) in
let l = {
vl_heaplets_initialized = true;
vl_heaplet_map = hmap;
vl_heaplet_sets = hsets;
vl_old_heap = h1.vf_heap;
vl_buffers = bs;
vl_mod_loc = modloc;
} in
let layout2 = {layout1 with vl_inner = l} in
let h2 = {
vf_layout = layout2;
vf_heap = h1.vf_heap;
vf_heaplets = h1.vf_heaplets;
} in
h2
let lemma_create_heaplets buffers h1 =
let bs = list_to_seq buffers in
let h2 = create_heaplets buffers h1 in
assert (h2.vf_layout.vl_inner.vl_buffers == bs); // REVIEW: why is this necessary, even with extra ifuel?
lemma_make_owns h1.vf_heap bs (Seq.length bs);
lemma_loc_mutable_buffers buffers;
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
()
let destroy_heaplets h1 =
h1
let lemma_destroy_heaplets h1 =
()
val heap_shift (m1 m2:S.machine_heap) (base:int) (n:nat) : Lemma
(requires (forall i. 0 <= i /\ i < n ==> m1.[base + i] == m2.[base + i]))
(ensures (forall i. {:pattern (m1.[i])} base <= i /\ i < base + n ==> m1.[i] == m2.[i]))
#push-options "--smtencoding.l_arith_repr boxwrap"
let heap_shift m1 m2 base n =
assert (forall i. base <= i /\ i < base + n ==>
m1.[base + (i - base)] == m2.[base + (i - base)])
#pop-options
val same_mem_eq_slices64 (b:buffer64{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:nat64)
(k:nat{k < buffer_length b})
(h1:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h1))})
(h2:vale_heap{h2 == buffer_write b i v h1})
(mem1:S.machine_heap{IB.correct_down_p (_ih h1) mem1 b})
(mem2:S.machine_heap{IB.correct_down_p (_ih h2) mem2 b}) : Lemma
(requires (Seq.index (buffer_as_seq h1 b) k == Seq.index (buffer_as_seq h2 b) k))
(ensures (
k * 8 + 8 <= DV.length (get_downview b.bsrc) /\
Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h1)) (get_downview b.bsrc)) (k * 8) (k * 8 + 8) ==
Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h2)) (get_downview b.bsrc)) (k * 8) (k * 8 + 8)))
let same_mem_eq_slices64 b i v k h1 h2 mem1 mem2 =
let t = TUInt64 in
let db = get_downview b.bsrc in
let ub = UV.mk_buffer db (uint_view t) in
UV.as_seq_sel (IB.hs_of_mem (_ih h1)) ub k;
UV.as_seq_sel (IB.hs_of_mem (_ih h2)) ub k;
UV.put_sel (IB.hs_of_mem (_ih h1)) ub k;
UV.put_sel (IB.hs_of_mem (_ih h2)) ub k;
UV.length_eq ub
let length_up64 (b:buffer64) (h:vale_heap) (k:nat{k < buffer_length b}) (i:nat{i < 8}) : Lemma
(scale8 k + i <= DV.length (get_downview b.bsrc)) =
let vb = UV.mk_buffer (get_downview b.bsrc) uint64_view in
UV.length_eq vb
val same_mem_get_heap_val64 (b:buffer64{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:nat64)
(k:nat{k < buffer_length b})
(h1:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h1))})
(h2:vale_heap{h2 == buffer_write b i v h1})
(mem1:S.machine_heap{IB.correct_down_p (_ih h1) mem1 b})
(mem2:S.machine_heap{IB.correct_down_p (_ih h2) mem2 b}) : Lemma
(requires (Seq.index (buffer_as_seq h1 b) k == Seq.index (buffer_as_seq h2 b) k))
(ensures (let ptr = buffer_addr b h1 + scale8 k in
forall (x:int).{:pattern (mem1.[x])} ptr <= x /\ x < ptr + 8 ==> mem1.[x] == mem2.[x]))
let same_mem_get_heap_val64 b j v k h1 h2 mem1 mem2 =
let ptr = buffer_addr b h1 + scale8 k in
let addr = buffer_addr b h1 in
let aux (x:int{ptr <= x /\ x < ptr + 8}) : Lemma (mem1.[x] == mem2.[x]) =
let i = x - ptr in
let db = get_downview b.bsrc in
let ub = UV.mk_buffer db uint64_view in
UV.as_seq_sel (IB.hs_of_mem (_ih h1)) ub k;
UV.as_seq_sel (IB.hs_of_mem (_ih h2)) ub k;
same_mem_eq_slices64 b j v k h1 h2 mem1 mem2;
let s1 = (Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h1)) db) (k * 8) (k * 8 + 8)) in
let s2 = (Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h2)) db) (k * 8) (k * 8 + 8)) in
assert (Seq.index s1 i == Seq.index (DV.as_seq (IB.hs_of_mem (_ih h1)) db) (k * 8 + i));
length_up64 b h1 k i;
assert (mem1.[addr+(scale8 k + i)] == UInt8.v (Seq.index (DV.as_seq (IB.hs_of_mem (_ih h1)) db) (k * 8 + i)));
assert (Seq.index s2 i == Seq.index (DV.as_seq (IB.hs_of_mem (_ih h2)) db) (k * 8 + i));
length_up64 b h2 k i;
assert (mem2.[addr+(scale8 k + i)] == UInt8.v (Seq.index (DV.as_seq (IB.hs_of_mem (_ih h2)) db) (k * 8 + i)))
in
Classical.forall_intro aux;
assert (forall i. addr + (scale8 k + i) == ptr + i)
let rec written_buffer_down64_aux1
(b:buffer64{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:nat64)
(h:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h))})
(base:nat{base == buffer_addr b h})
(k:nat) (h1:vale_heap{h1 == buffer_write b i v h})
(mem1:S.machine_heap{IB.correct_down (_ih h) mem1})
(mem2:S.machine_heap{IB.correct_down (_ih h1) mem2 /\
(forall j.{:pattern (mem1.[j]) \/ (mem2.[j])}
base <= j /\ j < base + k * 8 ==>
mem1.[j] == mem2.[j])})
: Lemma
(ensures (forall j. {:pattern (mem1.[j]) \/ (mem1.[j])}
j >= base /\ j < base + scale8 i ==>
mem1.[j] == mem2.[j]))
(decreases %[i-k]) =
if k >= i then ()
else begin
let ptr = base + scale8 k in
same_mem_get_heap_val64 b i v k h h1 mem1 mem2;
heap_shift mem1 mem2 ptr 8;
written_buffer_down64_aux1 b i v h base (k+1) h1 mem1 mem2
end
let rec written_buffer_down64_aux2
(b:buffer64{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:nat64)
(h:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h))})
(base:nat{base == buffer_addr b h})
(n:nat{n == buffer_length b})
(k:nat{k > i}) (h1:vale_heap{h1 == buffer_write b i v h})
(mem1:S.machine_heap{IB.correct_down (_ih h) mem1})
(mem2:S.machine_heap{IB.correct_down (_ih h1) mem2 /\
(forall j. {:pattern (mem1.[j]) \/ (mem2.[j])}
base + scale8 (i+1) <= j /\ j < base + k * 8 ==>
mem1.[j] == mem2.[j])})
: Lemma
(ensures (forall j. {:pattern (mem1.[j]) \/ (mem2.[j])}
j >= base + scale8 (i+1) /\ j < base + scale8 n ==>
mem1.[j] == mem2.[j]))
(decreases %[n-k]) =
if k >= n then ()
else begin
let ptr = base + scale8 k in
same_mem_get_heap_val64 b i v k h h1 mem1 mem2;
heap_shift mem1 mem2 ptr 8;
written_buffer_down64_aux2 b i v h base n (k+1) h1 mem1 mem2
end
let written_buffer_down64 (b:buffer64{buffer_writeable b}) (i:nat{i < buffer_length b}) (v:nat64) (h:vale_heap)
: Lemma
(requires List.memP b (IB.ptrs_of_mem (_ih h)))
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
let n = buffer_length b in
forall j. {:pattern (mem1.[j]) \/ (mem2.[j])}
(base <= j /\ j < base + scale8 i) \/
(base + scale8 (i+1) <= j /\ j < base + scale8 n) ==>
mem1.[j] == mem2.[j]))
= let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
let n = buffer_length b in
written_buffer_down64_aux1 b i v h base 0 h1 mem1 mem2;
written_buffer_down64_aux2 b i v h base n (i+1) h1 mem1 mem2
let unwritten_buffer_down (t:base_typ) (b:buffer t{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:base_typ_as_vale_type t)
(h:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h))})
: Lemma
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
forall (a:b8{List.memP a (IB.ptrs_of_mem (_ih h)) /\ a =!= b}) j. {:pattern mem1.[j]; List.memP a (IB.ptrs_of_mem (_ih h)) \/ mem2.[j]; List.memP a (IB.ptrs_of_mem (_ih h))}
let base = (IB.addrs_of_mem (_ih h)) a in
j >= base /\ j < base + DV.length (get_downview a.bsrc) ==> mem1.[j] == mem2.[j]))
= let aux (a:b8{a =!= b /\ List.memP a (IB.ptrs_of_mem (_ih h))})
: Lemma
(ensures (
let base = (IB.addrs_of_mem (_ih h)) a in
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
forall j.
j >= base /\ j < base + DV.length (get_downview a.bsrc) ==>
mem1.[j] == mem2.[j]))
= let db = get_downview a.bsrc in
if DV.length db = 0 then ()
else
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = (IB.addrs_of_mem (_ih h)) a in
let s0 = DV.as_seq (IB.hs_of_mem (_ih h)) db in
let s1 = DV.as_seq (IB.hs_of_mem (_ih h1)) db in
opaque_assert (`%IB.list_disjoint_or_eq) IB.list_disjoint_or_eq IB.list_disjoint_or_eq_def (MB.disjoint a.bsrc b.bsrc);
lemma_dv_equal (IB.down_view a.src) a.bsrc (IB.hs_of_mem (_ih h)) (IB.hs_of_mem (_ih h1));
assert (Seq.equal s0 s1);
assert (forall (j:int).{:pattern (mem1.[j])}
base <= j /\ j < base + Seq.length s0 ==> v_to_typ TUInt8 (Seq.index s0 (j - base)) == mem1.[j]);
heap_shift mem1 mem2 base (DV.length db)
in
Classical.forall_intro aux
let store_buffer_down64_mem
(b:buffer64{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:nat64)
(h:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h))})
: Lemma
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
forall (j:int). {:pattern mem1.[j] \/ mem2.[j]}
j < base + scale8 i \/ j >= base + scale8 (i+1) ==>
mem1.[j] == mem2.[j]))
= let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
let n = buffer_length b in
let aux (j:int)
: Lemma
(j < base + scale8 i \/ j >= base + scale8 (i+1) ==>
mem1.[j] == mem2.[j])
=
I.addrs_set_lemma_all ();
if j >= base && j < base + DV.length (get_downview b.bsrc) then begin
written_buffer_down64 b i v h;
length_t_eq (TUInt64) b
end
else if not (I.valid_addr (_ih h) j)
then I.same_unspecified_down (IB.hs_of_mem (_ih h)) (IB.hs_of_mem (_ih h1)) (IB.ptrs_of_mem (_ih h))
else unwritten_buffer_down TUInt64 b i v h
in
Classical.forall_intro aux
let store_buffer_aux_down64_mem (ptr:int) (v:nat64) (h:vale_heap{writeable_mem64 ptr h})
: Lemma
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = store_mem (TUInt64) ptr v h in
let mem2 = I.down_mem (_ih h1) in
forall j. {:pattern mem1.[j] \/ mem2.[j]}
j < ptr \/ j >= ptr + 8 ==>
mem1.[j] == mem2.[j]))
= let t = TUInt64 in
let h1 = store_mem t ptr v h in
let b = Some?.v (find_writeable_buffer t ptr h) in
length_t_eq t b;
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
store_buffer_write t ptr v h;
assert (buffer_addr b h + scale8 i == ptr);
assert (buffer_addr b h + scale8 (i+1) == ptr + 8);
store_buffer_down64_mem b i v h
let store_buffer_aux_down64_mem2 (ptr:int) (v:nat64) (h:vale_heap{writeable_mem64 ptr h})
: Lemma
(ensures (
let h1 = store_mem (TUInt64) ptr v h in
let mem2 = I.down_mem (_ih h1) in
S.get_heap_val64 ptr mem2 == v))
= let t = TUInt64 in
let b = Some?.v (find_writeable_buffer t ptr h) in
length_t_eq t b;
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
let h1 = store_mem t ptr v h in
let mem2 = I.down_mem (_ih h1) in
store_buffer_write t ptr v h;
assert (Seq.index (buffer_as_seq h1 b) i == v);
index64_get_heap_val64 h1 b mem2 i
let in_bounds64 (h:vale_heap) (b:buffer64) (i:nat{i < buffer_length b})
: Lemma (scale8 i + 8 <= DV.length (get_downview b.bsrc))
=
length_t_eq TUInt64 b
let bytes_valid64 ptr h =
reveal_opaque (`%S.valid_addr64) S.valid_addr64;
let t = TUInt64 in
let b = get_addr_ptr t ptr h in
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
in_bounds64 h b i;
I.addrs_set_mem (_ih h) b ptr;
I.addrs_set_mem (_ih h) b (ptr+1);
I.addrs_set_mem (_ih h) b (ptr+2);
I.addrs_set_mem (_ih h) b (ptr+3);
I.addrs_set_mem (_ih h) b (ptr+4);
I.addrs_set_mem (_ih h) b (ptr+5);
I.addrs_set_mem (_ih h) b (ptr+6);
I.addrs_set_mem (_ih h) b (ptr+7)
val same_mem_get_heap_val128 (b:buffer128)
(i:nat{i < buffer_length b})
(v:quad32)
(k:nat{k < buffer_length b})
(h1:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h1)) /\ buffer_writeable b})
(h2:vale_heap{h2 == buffer_write b i v h1})
(mem1:S.machine_heap{IB.correct_down_p (_ih h1) mem1 b})
(mem2:S.machine_heap{IB.correct_down_p (_ih h2) mem2 b}) : Lemma
(requires (Seq.index (buffer_as_seq h1 b) k == Seq.index (buffer_as_seq h2 b) k))
(ensures (let ptr = buffer_addr b h1 + scale16 k in
forall i.{:pattern mem1.[i]} i >= ptr /\ i < ptr+16 ==> mem1.[i] == mem2.[i]))
val same_mem_eq_slices128 (b:buffer128)
(i:nat{i < buffer_length b})
(v:quad32)
(k:nat{k < buffer_length b})
(h1:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h1)) /\ buffer_writeable b})
(h2:vale_heap{h2 == buffer_write b i v h1})
(mem1:S.machine_heap{IB.correct_down_p (_ih h1) mem1 b})
(mem2:S.machine_heap{IB.correct_down_p (_ih h2) mem2 b}) : Lemma
(requires (Seq.index (buffer_as_seq h1 b) k == Seq.index (buffer_as_seq h2 b) k))
(ensures (
k * 16 + 16 <= DV.length (get_downview b.bsrc) /\
Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h1)) (get_downview b.bsrc)) (k * 16) (k * 16 + 16) ==
Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h2)) (get_downview b.bsrc)) (k * 16) (k * 16 + 16)))
let same_mem_eq_slices128 b i v k h1 h2 mem1 mem2 =
let t = TUInt128 in
let db = get_downview b.bsrc in
let ub = UV.mk_buffer db (uint_view t) in
UV.as_seq_sel (IB.hs_of_mem (_ih h1)) ub k;
UV.as_seq_sel (IB.hs_of_mem (_ih h2)) ub k;
UV.put_sel (IB.hs_of_mem (_ih h1)) ub k;
UV.put_sel (IB.hs_of_mem (_ih h2)) ub k;
UV.length_eq ub
let length_up128 (b:buffer128) (h:vale_heap) (k:nat{k < buffer_length b}) (i:nat{i < 16}) : Lemma
(scale16 k + i <= DV.length (get_downview b.bsrc)) =
let vb = UV.mk_buffer (get_downview b.bsrc) uint128_view in
UV.length_eq vb
let same_mem_get_heap_val128 b j v k h1 h2 mem1 mem2 =
let ptr = buffer_addr b h1 + scale16 k in
let addr = buffer_addr b h1 in
let aux (i:nat{ptr <= i /\ i < ptr+16}) : Lemma (mem1.[i] == mem2.[i]) =
let db = get_downview b.bsrc in
let ub = UV.mk_buffer db uint128_view in
UV.as_seq_sel (IB.hs_of_mem (_ih h1)) ub k;
UV.as_seq_sel (IB.hs_of_mem (_ih h2)) ub k;
same_mem_eq_slices128 b j v k h1 h2 mem1 mem2;
let s1 = (Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h1)) db) (k * 16) (k * 16 + 16)) in
let s2 = (Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h2)) db) (k * 16) (k * 16 + 16)) in
assert (Seq.index s1 (i - ptr) == Seq.index (DV.as_seq (IB.hs_of_mem (_ih h1)) db) (k * 16 + (i-ptr)));
length_up128 b h1 k (i-ptr);
assert (mem1.[i] == UInt8.v (Seq.index (DV.as_seq (IB.hs_of_mem (_ih h1)) db) (k * 16 + (i-ptr))));
assert (Seq.index s2 (i-ptr) == Seq.index (DV.as_seq (IB.hs_of_mem (_ih h2)) db) (k * 16 + (i-ptr)));
length_up128 b h2 k (i-ptr);
assert (mem2.[addr+(scale16 k + (i-ptr))] == UInt8.v (Seq.index (DV.as_seq (IB.hs_of_mem (_ih h2)) db) (k * 16 + (i-ptr))));
assert (forall i. addr + (scale16 k + (i-ptr)) == i)
in
Classical.forall_intro aux
let in_bounds128 (h:vale_heap) (b:buffer128) (i:nat{i < buffer_length b}) : Lemma
(scale16 i + 16 <= DV.length (get_downview b.bsrc))
=
length_t_eq TUInt128 b
#push-options "--z3rlimit 20"
#restart-solver
let bytes_valid128 ptr h =
reveal_opaque (`%S.valid_addr128) S.valid_addr128;
IB.list_disjoint_or_eq_reveal ();
let t = TUInt128 in
let b = get_addr_ptr t ptr h in
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
in_bounds128 h b i;
I.addrs_set_mem (_ih h) b ptr;
I.addrs_set_mem (_ih h) b (ptr+1);
I.addrs_set_mem (_ih h) b (ptr+2);
I.addrs_set_mem (_ih h) b (ptr+3);
I.addrs_set_mem (_ih h) b (ptr+4);
I.addrs_set_mem (_ih h) b (ptr+5);
I.addrs_set_mem (_ih h) b (ptr+6);
I.addrs_set_mem (_ih h) b (ptr+7);
I.addrs_set_mem (_ih h) b (ptr+8);
I.addrs_set_mem (_ih h) b (ptr+9);
I.addrs_set_mem (_ih h) b (ptr+10);
I.addrs_set_mem (_ih h) b (ptr+11);
I.addrs_set_mem (_ih h) b (ptr+12);
I.addrs_set_mem (_ih h) b (ptr+13);
I.addrs_set_mem (_ih h) b (ptr+14);
I.addrs_set_mem (_ih h) b (ptr+15)
#pop-options
let equiv_load_mem64 ptr h =
let t = TUInt64 in
let b = get_addr_ptr t ptr h in
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
let addr = buffer_addr b h in
let contents = DV.as_seq (_ih h).IB.hs (get_downview b.bsrc) in
let heap = get_heap h in
index64_get_heap_val64 h b heap i;
lemma_load_mem64 b i h
//let low_lemma_valid_mem64 b i h =
// lemma_valid_mem64 b i h;
// bytes_valid64 (buffer_addr b h + scale8 i) h
//let low_lemma_load_mem64 b i h =
// lemma_valid_mem64 b i h;
// lemma_load_mem64 b i h;
// equiv_load_mem64 (buffer_addr b h + scale8 i) h
//let same_domain_update64 b i v h =
// low_lemma_valid_mem64 b i h;
// Vale.Arch.MachineHeap.same_domain_update64 (buffer_addr b h + scale8 i) v (get_heap h)
open Vale.X64.BufferViewStore
let low_lemma_store_mem64_aux
(b:buffer64)
(heap:S.machine_heap)
(i:nat{i < buffer_length b})
(v:nat64)
(h:vale_heap{buffer_readable h b /\ buffer_writeable b})
: Lemma
(requires IB.correct_down_p (_ih h) heap b)
(ensures (let heap' = S.update_heap64 (buffer_addr b h + scale8 i) v heap in
let h' = store_mem64 (buffer_addr b h + scale8 i) v h in
(_ih h').IB.hs == DV.upd_seq (_ih h).IB.hs (get_downview b.bsrc) (I.get_seq_heap heap' (_ih h).IB.addrs b))) =
let ptr = buffer_addr b h + scale8 i in
let heap' = S.update_heap64 ptr v heap in
let h' = store_mem64 ptr v h in
lemma_store_mem64 b i v h;
length_t_eq TUInt64 b;
bv_upd_update_heap64 b heap i v (_ih h);
let db = get_downview b.bsrc in
let bv = UV.mk_buffer db Vale.Interop.Views.up_view64 in
assert (UV.upd (_ih h).IB.hs bv i (UInt64.uint_to_t v) == (_ih h').IB.hs)
val valid_state_store_mem64_aux: (i:nat) -> (v:nat64) -> (h:vale_heap) -> Lemma
(requires writeable_mem64 i h)
(ensures (
let heap = get_heap h in
let heap' = S.update_heap64 i v heap in
let h' = store_mem64 i v h in
heap' == I.down_mem (_ih h')
))
let valid_state_store_mem64_aux i v h =
let heap = get_heap h in
let heap' = S.update_heap64 i v heap in
let h1 = store_mem TUInt64 i v h in
store_buffer_aux_down64_mem i v h;
store_buffer_aux_down64_mem2 i v h;
let mem1 = heap' in
let mem2 = I.down_mem (_ih h1) in
let aux () : Lemma (forall j. mem1.[j] == mem2.[j]) =
Vale.Arch.MachineHeap.same_mem_get_heap_val64 i mem1 mem2;
Vale.Arch.MachineHeap.correct_update_get64 i v heap;
Vale.Arch.MachineHeap.frame_update_heap64 i v heap
in let aux2 () : Lemma (Set.equal (Map.domain mem1) (Map.domain mem2)) =
bytes_valid64 i h;
Vale.Arch.MachineHeap.same_domain_update64 i v heap
in aux(); aux2();
Map.lemma_equal_intro mem1 mem2
let low_lemma_load_mem64_full b i vfh t hid =
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
()
#push-options "--z3rlimit 20"
#restart-solver
let low_lemma_store_mem64 b i v h =
lemma_writeable_mem64 b i h;
lemma_store_mem64 b i v h;
valid_state_store_mem64_aux (buffer_addr b h + scale8 i) v h;
let heap = get_heap h in
let heap' = S.update_heap64 (buffer_addr b h + scale8 i) v heap in
low_lemma_store_mem64_aux b heap i v h;
Vale.Arch.MachineHeap.frame_update_heap64 (buffer_addr b h + scale8 i) v heap;
in_bounds64 h b i;
I.addrs_set_lemma_all ();
I.update_buffer_up_mem (_ih h) b heap heap'
#pop-options
#set-options "--z3rlimit 100"
#restart-solver
let lemma_is_full_update
(vfh:vale_full_heap) (h hk hk':vale_heap) (k:heaplet_id) (mh mh' mhk mhk':machine_heap) (mt mt':memtaint)
(t:base_typ) (b:buffer t) (ptr:int) (v_size:nat)
(index:nat) (v:base_typ_as_vale_type t) (tn:taint)
: Lemma
(requires
vfh.vf_layout.vl_inner.vl_heaplets_initialized /\
mem_inv vfh /\
buffer_readable hk b /\
buffer_writeable b /\
index < Seq.length (buffer_as_seq hk b) /\
mt == vfh.vf_layout.vl_taint /\
h == vfh.vf_heap /\
hk == Map16.sel vfh.vf_heaplets k /\
mh == h.mh /\
mhk == hk.mh /\
ptr == buffer_addr b hk + scale_by v_size index /\
mt' == S.update_n ptr v_size (heap_taint (coerce vfh)) tn /\
hk' == buffer_write b index v hk /\
valid_layout_buffer b vfh.vf_layout hk true /\
valid_taint_buf b hk mt tn /\
is_machine_heap_update mh mh' /\ upd_heap h mh' == buffer_write b index v h /\
is_machine_heap_update mhk mhk' /\ upd_heap hk mhk' == buffer_write b index v hk /\
(forall j.{:pattern mh.[j] \/ mh'.[j]} j < ptr \/ j >= ptr + v_size ==> mh.[j] == mh'.[j]) /\
(forall j.{:pattern mhk.[j] \/ mhk'.[j]} j < ptr \/ j >= ptr + v_size ==> mhk.[j] == mhk'.[j]) /\
0 <= scale_by v_size index /\ scale_by v_size index + v_size <= DV.length (get_downview b.bsrc) /\
(forall i.{:pattern mh'.[i] \/ mhk'.[i]} i >= ptr /\ i < ptr + v_size ==> mh'.[i] == mhk'.[i]) /\
True
)
(ensures is_full_update vfh hk' k mh' mt')
=
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
let vfh' = coerce (heap_upd (coerce vfh) mh' mt') in
let dom_upd = Set.intersect (vfh.vf_layout.vl_inner.vl_heaplet_sets k) (Map.domain mhk) in
let mhk'' = Map.concat mhk (Map.restrict dom_upd mh') in
assert (Map.equal mhk'' mhk');
let unchanged (j:heaplet_id) : Lemma
(requires j =!= k)
(ensures Map16.sel vfh'.vf_heaplets j == Map16.sel vfh.vf_heaplets j)
[SMTPat (Map16.sel vfh'.vf_heaplets j)]
=
assert (Map.equal (Map16.sel vfh'.vf_heaplets j).mh (Map16.sel vfh.vf_heaplets j).mh);
I.down_up_identity (Map16.sel vfh.vf_heaplets j).ih;
()
in
assert (Map16.equal vfh'.vf_heaplets (Map16.upd vfh.vf_heaplets k hk'));
assert (Map.equal mt' mt);
Vale.Interop.Heap_s.list_disjoint_or_eq_reveal ();
()
let low_lemma_store_mem64_full b i v vfh t hid =
let (h, mt, hk) = (vfh.vf_heap, vfh.vf_layout.vl_taint, Map16.get vfh.vf_heaplets hid) in
let ptr = buffer_addr b hk + scale8 i in
let mh' = S.update_heap64 ptr v (heap_get (coerce vfh)) in
let mt' = S.update_n ptr 8 (heap_taint (coerce vfh)) t in
let hk' = buffer_write b i v hk in
let mhk' = S.update_heap64 ptr v (get_heap hk) in
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
low_lemma_store_mem64 b i v h;
low_lemma_store_mem64 b i v (Map16.get vfh.vf_heaplets hid);
Vale.Arch.MachineHeap.frame_update_heap64 ptr v h.mh;
Vale.Arch.MachineHeap.frame_update_heap64 ptr v hk.mh;
in_bounds64 hk b i;
Vale.Arch.MachineHeap.same_mem_get_heap_val64 ptr mh' mhk';
lemma_is_full_update vfh h hk hk' hid h.mh mh' hk.mh mhk' mt mt' TUInt64 b ptr 8 i v t;
()
val low_lemma_valid_mem128 (b:buffer128) (i:nat) (h:vale_heap) : Lemma
(requires
i < Seq.length (buffer_as_seq h b) /\
buffer_readable h b
)
(ensures
S.valid_addr128 (buffer_addr b h + scale16 i) (get_heap h)
)
let low_lemma_valid_mem128 b i h =
lemma_valid_mem128 b i h;
bytes_valid128 (buffer_addr b h + scale16 i) h
val equiv_load_mem128_aux: (ptr:int) -> (h:vale_heap) -> Lemma
(requires valid_mem128 ptr h)
(ensures load_mem128 ptr h == S.get_heap_val128 ptr (get_heap h))
let equiv_load_mem128_aux ptr h =
let t = TUInt128 in
let b = get_addr_ptr t ptr h in
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
let addr = buffer_addr b h in
let contents = DV.as_seq (_ih h).IB.hs (get_downview b.bsrc) in
let heap = get_heap h in
S.get_heap_val128_reveal ();
index128_get_heap_val128 h b heap i;
lemma_load_mem128 b i h
let equiv_load_mem128 ptr h =
equiv_load_mem128_aux ptr h
val low_lemma_load_mem128 (b:buffer128) (i:nat) (h:vale_heap) : Lemma
(requires
i < Seq.length (buffer_as_seq h b) /\
buffer_readable h b
)
(ensures
S.get_heap_val128 (buffer_addr b h + scale16 i) (get_heap h) == buffer_read b i h
)
let low_lemma_load_mem128 b i h =
lemma_valid_mem128 b i h;
lemma_load_mem128 b i h;
equiv_load_mem128_aux (buffer_addr b h + scale16 i) h
//let same_domain_update128 b i v h =
// low_lemma_valid_mem128 b i h;
// Vale.Arch.MachineHeap.same_domain_update128 (buffer_addr b h + scale16 i) v (get_heap h)
let low_lemma_store_mem128_aux
(b:buffer128)
(heap:S.machine_heap)
(i:nat{i < buffer_length b})
(v:quad32)
(h:vale_heap{buffer_readable h b /\ buffer_writeable b})
: Lemma
(requires IB.correct_down_p (_ih h) heap b)
(ensures (let heap' = S.update_heap128 (buffer_addr b h + scale16 i) v heap in
let h' = store_mem128 (buffer_addr b h + scale16 i) v h in
(_ih h').IB.hs == DV.upd_seq (_ih h).IB.hs (get_downview b.bsrc) (I.get_seq_heap heap' (_ih h).IB.addrs b))) =
let ptr = buffer_addr b h + scale16 i in
let heap' = S.update_heap128 ptr v heap in
let h' = store_mem128 ptr v h in
lemma_store_mem128 b i v h;
length_t_eq TUInt128 b;
bv_upd_update_heap128 b heap i v (_ih h);
let db = get_downview b.bsrc in
let bv = UV.mk_buffer db Vale.Interop.Views.up_view128 in
assert (UV.upd (_ih h).IB.hs bv i v == (_ih h').IB.hs)
val valid_state_store_mem128_aux (i:int) (v:quad32) (h:vale_heap) : Lemma
(requires writeable_mem128 i h)
(ensures (
let heap = get_heap h in
let heap' = S.update_heap128 i v heap in
let h' = store_mem128 i v h in
heap' == I.down_mem (_ih h')
))
#restart-solver
let rec written_buffer_down128_aux1
(b:buffer128{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:quad32)
(h:vale_heap{List.memP b (_ih h).IB.ptrs})
(base:nat{base == buffer_addr b h})
(k:nat) (h1:vale_heap{h1 == buffer_write b i v h})
(mem1:S.machine_heap{IB.correct_down (_ih h) mem1})
(mem2:S.machine_heap{IB.correct_down (_ih h1) mem2 /\
(forall j.{:pattern (mem1.[j]) \/ (mem2.[j])}
base <= j /\ j < base + k * 16 ==>
mem1.[j] == mem2.[j])})
: Lemma
(ensures (forall j. {:pattern (mem1.[j]) \/ (mem1.[j])}
j >= base /\ j < base + scale16 i ==>
mem1.[j] == mem2.[j]))
(decreases %[i-k]) =
if k >= i then ()
else begin
let ptr = base + scale16 k in
same_mem_get_heap_val128 b i v k h h1 mem1 mem2;
heap_shift mem1 mem2 ptr 16;
written_buffer_down128_aux1 b i v h base (k+1) h1 mem1 mem2
end
#restart-solver
let rec written_buffer_down128_aux2
(b:buffer128{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:quad32)
(h:vale_heap{List.memP b (_ih h).IB.ptrs})
(base:nat{base == buffer_addr b h})
(n:nat{n == buffer_length b})
(k:nat{k > i}) (h1:vale_heap{h1 == buffer_write b i v h})
(mem1:S.machine_heap{IB.correct_down (_ih h) mem1})
(mem2:S.machine_heap{IB.correct_down (_ih h1) mem2 /\
(forall j. {:pattern (mem1.[j]) \/ (mem2.[j])}
base + scale16 (i+1) <= j /\ j < base + k * 16 ==>
mem1.[j] == mem2.[j])})
: Lemma
(ensures (forall j. {:pattern (mem1.[j]) \/ (mem2.[j])}
j >= base + scale16 (i+1) /\ j < base + scale16 n ==>
mem1.[j] == mem2.[j]))
(decreases %[n-k]) =
if k >= n then ()
else begin
let ptr = base + scale16 k in
same_mem_get_heap_val128 b i v k h h1 mem1 mem2;
heap_shift mem1 mem2 ptr 16;
written_buffer_down128_aux2 b i v h base n (k+1) h1 mem1 mem2
end
let written_buffer_down128 (b:buffer128) (i:nat{i < buffer_length b}) (v:quad32) (h:vale_heap)
: Lemma
(requires List.memP b (_ih h).IB.ptrs /\ buffer_writeable b)
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
let n = buffer_length b in
forall j. {:pattern (mem1.[j]) \/ (mem2.[j])}
(base <= j /\ j < base + scale16 i) \/
(base + scale16 (i+1) <= j /\ j < base + scale16 n) ==>
mem1.[j] == mem2.[j]))
= let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
let n = buffer_length b in
written_buffer_down128_aux1 b i v h base 0 h1 mem1 mem2;
written_buffer_down128_aux2 b i v h base n (i+1) h1 mem1 mem2
let store_buffer_down128_mem
(b:buffer128{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:quad32)
(h:vale_heap{List.memP b (_ih h).IB.ptrs})
: Lemma
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
forall (j:int). {:pattern mem1.[j] \/ mem2.[j]}
j < base + scale16 i \/ j >= base + scale16 (i+1) ==>
mem1.[j] == mem2.[j]))
= let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
let n = buffer_length b in
let aux (j:int)
: Lemma
(j < base + scale16 i \/ j >= base + scale16 (i+1) ==>
mem1.[j] == mem2.[j])
=
I.addrs_set_lemma_all ();
if j >= base && j < base + DV.length (get_downview b.bsrc) then begin
written_buffer_down128 b i v h;
length_t_eq TUInt128 b
end
else if not (I.valid_addr (_ih h) j)
then I.same_unspecified_down (_ih h).IB.hs (_ih h1).IB.hs (_ih h).IB.ptrs
else unwritten_buffer_down TUInt128 b i v h
in
Classical.forall_intro aux
let store_buffer_aux_down128_mem (ptr:int) (v:quad32) (h:vale_heap{writeable_mem128 ptr h})
: Lemma
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = store_mem TUInt128 ptr v h in
let mem2 = I.down_mem (_ih h1) in
forall j. {:pattern mem1.[j] \/ mem2.[j]}
j < ptr \/ j >= ptr + 16 ==>
mem1.[j] == mem2.[j]))
= let t = TUInt128 in
let h1 = store_mem t ptr v h in
let b = Some?.v (find_writeable_buffer t ptr h) in
length_t_eq t b;
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
store_buffer_write t ptr v h;
assert (buffer_addr b h + scale16 i == ptr);
assert (buffer_addr b h + scale16 (i+1) == ptr + 16);
store_buffer_down128_mem b i v h
let store_buffer_aux_down128_mem2 (ptr:int) (v:quad32) (h:vale_heap{writeable_mem128 ptr h})
: Lemma
(ensures (
let h1 = store_mem TUInt128 ptr v h in
let mem2 = I.down_mem (_ih h1) in
Mkfour
(S.get_heap_val32 ptr mem2)
(S.get_heap_val32 (ptr+4) mem2)
(S.get_heap_val32 (ptr+8) mem2)
(S.get_heap_val32 (ptr+12) mem2)
== v)) =
let t = TUInt128 in
let b = Some?.v (find_writeable_buffer t ptr h) in
length_t_eq t b;
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
let h1 = store_mem t ptr v h in
let mem2 = I.down_mem (_ih h1) in
store_buffer_write t ptr v h;
assert (Seq.index (buffer_as_seq h1 b) i == v);
index128_get_heap_val128 h1 b mem2 i
let valid_state_store_mem128_aux i v h =
let heap = get_heap h in
let heap' = S.update_heap128 i v heap in
let h1 = store_mem TUInt128 i v h in
store_buffer_aux_down128_mem i v h;
store_buffer_aux_down128_mem2 i v h;
let mem1 = heap' in
let mem2 = I.down_mem (_ih h1) in
let aux () : Lemma (forall j. mem1.[j] == mem2.[j]) =
Vale.Arch.MachineHeap.correct_update_get128 i v heap;
Vale.X64.Machine_Semantics_s.get_heap_val128_reveal ();
Vale.Arch.MachineHeap.same_mem_get_heap_val32 i mem1 mem2;
Vale.Arch.MachineHeap.same_mem_get_heap_val32 (i+4) mem1 mem2;
Vale.Arch.MachineHeap.same_mem_get_heap_val32 (i+8) mem1 mem2;
Vale.Arch.MachineHeap.same_mem_get_heap_val32 (i+12) mem1 mem2;
Vale.Arch.MachineHeap.frame_update_heap128 i v heap
in
let aux2 () : Lemma (Set.equal (Map.domain mem1) (Map.domain mem2)) =
bytes_valid128 i h;
Vale.Arch.MachineHeap.same_domain_update128 i v heap
in aux (); aux2 ();
Map.lemma_equal_intro mem1 mem2
let low_lemma_load_mem128_full b i vfh t hid =
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
()
let low_lemma_store_mem128 b i v h =
lemma_valid_mem128 b i h;
lemma_store_mem128 b i v h;
valid_state_store_mem128_aux (buffer_addr b h + scale16 i) v h;
let heap = get_heap h in
let heap' = S.update_heap128 (buffer_addr b h + scale16 i) v heap in
let h' = store_mem128 (buffer_addr b h + scale16 i) v h in
low_lemma_store_mem128_aux b heap i v h;
Vale.Arch.MachineHeap.frame_update_heap128 (buffer_addr b h + scale16 i) v heap;
in_bounds128 h b i;
I.addrs_set_lemma_all ();
I.update_buffer_up_mem (_ih h) b heap heap' | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.BufferViewStore.fsti.checked",
"Vale.PPC64LE.Semantics_s.fst.checked",
"Vale.PPC64LE.Memory.fst.checked",
"Vale.PPC64LE.Memory.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.Lib.BufferViewHelpers.fst.checked",
"Vale.Interop.Views.fsti.checked",
"Vale.Interop.Heap_s.fst.checked",
"Vale.Interop.Base.fst.checked",
"Vale.Interop.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Two_s.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.MachineHeap.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.Arch.Heap.fsti.checked",
"prims.fst.checked",
"LowStar.Monotonic.Buffer.fsti.checked",
"LowStar.BufferView.Up.fsti.checked",
"LowStar.BufferView.Down.fsti.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt64.fsti.checked",
"FStar.Set.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Option.fst.checked",
"FStar.Mul.fst.checked",
"FStar.Map.fsti.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.PPC64LE.Memory_Sems.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.X64.BufferViewStore",
"short_module": null
},
{
"abbrev": true,
"full_module": "Vale.Interop.Base",
"short_module": "IB"
},
{
"abbrev": false,
"full_module": "Vale.Lib.BufferViewHelpers",
"short_module": null
},
{
"abbrev": true,
"full_module": "LowStar.BufferView.Down",
"short_module": "DV"
},
{
"abbrev": true,
"full_module": "LowStar.BufferView.Up",
"short_module": "UV"
},
{
"abbrev": true,
"full_module": "LowStar.Monotonic.Buffer",
"short_module": "MB"
},
{
"abbrev": true,
"full_module": "Vale.Interop",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": true,
"full_module": "Vale.Lib.Map16",
"short_module": "Map16"
},
{
"abbrev": true,
"full_module": "Vale.PPC64LE.Semantics_s",
"short_module": "S"
},
{
"abbrev": false,
"full_module": "Vale.Lib.Seqs",
"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.Arch.MachineHeap_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Heap",
"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": "Vale.Def.Types_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.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.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": 100,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
b: Vale.PPC64LE.Memory.buffer128 ->
i: Prims.nat ->
v: Vale.PPC64LE.Memory.quad32 ->
vfh: Vale.Arch.HeapImpl.vale_full_heap ->
t: Vale.Arch.HeapTypes_s.taint ->
hid: Vale.Arch.HeapImpl.heaplet_id
-> FStar.Pervasives.Lemma
(requires
(let _ =
Vale.Lib.Map16.get (Mkvale_full_heap?.vf_heaplets vfh) hid,
Mkvale_heap_layout?.vl_taint (Mkvale_full_heap?.vf_layout vfh)
in
(let FStar.Pervasives.Native.Mktuple2 #_ #_ h mt = _ in
i < FStar.Seq.Base.length (Vale.PPC64LE.Memory.buffer_as_seq h b) /\
Vale.PPC64LE.Memory.buffer_readable h b /\ Vale.PPC64LE.Memory.buffer_writeable b /\
Vale.PPC64LE.Memory.valid_layout_buffer b (Mkvale_full_heap?.vf_layout vfh) h true /\
Vale.PPC64LE.Memory.valid_taint_buf128 b h mt t /\ Vale.PPC64LE.Memory.mem_inv vfh)
<:
Type0))
(ensures
(let h = Vale.Lib.Map16.get (Mkvale_full_heap?.vf_heaplets vfh) hid in
let ptr = Vale.PPC64LE.Memory.buffer_addr b h + Vale.PPC64LE.Memory.scale16 i in
Vale.PPC64LE.Memory.buffer_addr b (Mkvale_full_heap?.vf_heap vfh) ==
Vale.PPC64LE.Memory.buffer_addr b h /\
Vale.Arch.MachineHeap_s.valid_addr128 ptr
(Vale.Arch.Heap.heap_get (Vale.PPC64LE.Memory_Sems.coerce vfh)) /\
Vale.PPC64LE.Memory_Sems.is_full_update vfh
(Vale.PPC64LE.Memory.buffer_write b i v h)
hid
(Vale.Arch.MachineHeap_s.update_heap128 ptr
v
(Vale.Arch.Heap.heap_get (Vale.PPC64LE.Memory_Sems.coerce vfh)))
(Vale.PPC64LE.Semantics_s.update_n ptr
16
(Vale.Arch.Heap.heap_taint (Vale.PPC64LE.Memory_Sems.coerce vfh))
t))) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"Vale.PPC64LE.Memory.buffer128",
"Prims.nat",
"Vale.PPC64LE.Memory.quad32",
"Vale.Arch.HeapImpl.vale_full_heap",
"Vale.Arch.HeapTypes_s.taint",
"Vale.Arch.HeapImpl.heaplet_id",
"Vale.Arch.HeapImpl.vale_heap",
"Vale.PPC64LE.Memory.memtaint",
"Prims.unit",
"Vale.PPC64LE.Memory_Sems.lemma_is_full_update",
"Vale.Arch.HeapImpl.__proj__ValeHeap__item__mh",
"Vale.Arch.HeapTypes_s.TUInt128",
"Vale.Arch.MachineHeap.same_mem_get_heap_val128",
"Vale.PPC64LE.Memory_Sems.in_bounds128",
"Vale.Arch.MachineHeap.frame_update_heap128",
"Vale.PPC64LE.Memory_Sems.low_lemma_store_mem128",
"Vale.Lib.Map16.get",
"Vale.Arch.HeapImpl.__proj__Mkvale_full_heap__item__vf_heaplets",
"FStar.Pervasives.reveal_opaque",
"Vale.Arch.HeapTypes_s.base_typ",
"Vale.PPC64LE.Memory.buffer",
"Vale.Arch.HeapImpl.vale_heap_layout",
"FStar.Pervasives.Native.option",
"Prims.bool",
"Vale.Def.Prop_s.prop0",
"Vale.PPC64LE.Memory.valid_layout_buffer_id",
"Vale.Arch.MachineHeap_s.machine_heap",
"Vale.Arch.MachineHeap_s.update_heap128",
"Vale.PPC64LE.Memory_Sems.get_heap",
"Vale.PPC64LE.Memory.buffer_write",
"Vale.PPC64LE.Memory.vuint128",
"Vale.Arch.HeapTypes_s.memTaint_t",
"Prims.l_Forall",
"Prims.int",
"Prims.l_and",
"Prims.l_imp",
"Prims.b2t",
"Prims.op_GreaterThanOrEqual",
"Prims.op_LessThan",
"Prims.op_Addition",
"Prims.eq2",
"Vale.PPC64LE.Semantics_s.op_String_Access",
"Prims.l_or",
"Vale.Arch.Heap.heap_taint",
"FStar.Map.sel",
"Vale.PPC64LE.Semantics_s.update_n",
"Vale.PPC64LE.Memory_Sems.coerce",
"Vale.Arch.Heap.heap_impl",
"Vale.Arch.Heap.heap_get",
"Vale.PPC64LE.Memory.buffer_addr",
"Vale.PPC64LE.Memory.scale16",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.Mktuple3",
"Vale.Arch.HeapImpl.__proj__Mkvale_full_heap__item__vf_heap",
"Vale.Arch.HeapImpl.__proj__Mkvale_heap_layout__item__vl_taint",
"Vale.Arch.HeapImpl.__proj__Mkvale_full_heap__item__vf_layout"
] | [] | false | false | true | false | false | let low_lemma_store_mem128_full b i v vfh t hid =
| let h, mt, hk = (vfh.vf_heap, vfh.vf_layout.vl_taint, Map16.get vfh.vf_heaplets hid) in
let ptr = buffer_addr b hk + scale16 i in
let mh' = S.update_heap128 ptr v (heap_get (coerce vfh)) in
let mt' = S.update_n ptr 16 (heap_taint (coerce vfh)) t in
let hk' = buffer_write b i v hk in
let mhk' = S.update_heap128 ptr v (get_heap hk) in
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
low_lemma_store_mem128 b i v h;
low_lemma_store_mem128 b i v (Map16.get vfh.vf_heaplets hid);
Vale.Arch.MachineHeap.frame_update_heap128 ptr v h.mh;
Vale.Arch.MachineHeap.frame_update_heap128 ptr v hk.mh;
in_bounds128 hk b i;
Vale.Arch.MachineHeap.same_mem_get_heap_val128 ptr mh' mhk';
lemma_is_full_update vfh h hk hk' hid h.mh mh' hk.mh mhk' mt mt' TUInt128 b ptr 16 i v t;
() | false |
FStar.List.Tot.Base.fst | FStar.List.Tot.Base.for_all | val for_all: ('a -> Tot bool) -> list 'a -> Tot bool | val for_all: ('a -> Tot bool) -> list 'a -> Tot bool | let rec for_all f l = match l with
| [] -> true
| hd::tl -> if f hd then for_all f tl else false | {
"file_name": "ulib/FStar.List.Tot.Base.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 52,
"end_line": 305,
"start_col": 0,
"start_line": 303
} | (*
Copyright 2008-2014 Nikhil Swamy and 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.
*)
(**
This module defines all pure and total operations on lists that can be
used in specifications. It is implemented by FStar_List_Tot_Base.ml, any
functional change and/or the addition of new functions MUST be reflected
there.
@summary Pure total operations on lists
*)
module FStar.List.Tot.Base
(**
Base operations
*)
(** [isEmpty l] returns [true] if and only if [l] is empty *)
val isEmpty: list 'a -> Tot bool
let isEmpty l = match l with
| [] -> true
| _ -> false
(** [hd l] returns the first element of [l]. Requires [l] to be
nonempty, at type-checking time. Named as in: OCaml, F#, Coq *)
val hd: l:list 'a{Cons? l} -> Tot 'a
let hd = function
| hd::_ -> hd
(** [tail l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Similar to: tl in OCaml, F#, Coq
*)
val tail: l:list 'a {Cons? l} -> Tot (list 'a)
let tail = function
| _::tl -> tl
(** [tl l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Named as in: OCaml, F#, Coq
*)
val tl: l:list 'a {Cons? l} -> Tot (list 'a)
let tl = tail
(** [last l] returns the last element of [l]. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val last: l:list 'a {Cons? l} -> Tot 'a
let rec last = function
| [hd] -> hd
| _::tl -> last tl
(** [init l] returns [l] without its last element. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val init: l:list 'a {Cons? l} -> Tot (list 'a)
let rec init = function
| [_] -> []
| hd::tl -> hd::(init tl)
(** [length l] returns the total number of elements in [l]. Named as
in: OCaml, F#, Coq *)
val length: list 'a -> Tot nat
let rec length = function
| [] -> 0
| _::tl -> 1 + length tl
(** [nth l n] returns the [n]-th element in list [l] (with the first
element being the 0-th) if [l] is long enough, or [None]
otherwise. Named as in: OCaml, F#, Coq *)
val nth: list 'a -> nat -> Tot (option 'a)
let rec nth l n = match l with
| [] -> None
| hd::tl -> if n = 0 then Some hd else nth tl (n - 1)
(** [index l n] returns the [n]-th element in list [l] (with the first
element being the 0-th). Requires, at type-checking time, that [l] be
of length at least [n+1]. *)
val index: #a:Type -> l:list a -> i:nat{i < length l} -> Tot a
let rec index #a (l: list a) (i:nat{i < length l}): Tot a =
if i = 0 then
hd l
else
index (tl l) (i - 1)
(** [count x l] returns the number of occurrences of [x] in
[l]. Requires, at type-checking time, the type of [a] to have equality
defined. Similar to: [List.count_occ] in Coq. *)
val count: #a:eqtype -> a -> list a -> Tot nat
let rec count #a x = function
| [] -> 0
| hd::tl -> if x=hd then 1 + count x tl else count x tl
(** [rev_acc l1 l2] appends the elements of [l1] to the beginning of
[l2], in reverse order. It is equivalent to [append (rev l1) l2], but
is tail-recursive. Similar to: [List.rev_append] in OCaml, Coq. *)
val rev_acc: list 'a -> list 'a -> Tot (list 'a)
let rec rev_acc l acc = match l with
| [] -> acc
| hd::tl -> rev_acc tl (hd::acc)
(** [rev l] returns the list [l] in reverse order. Named as in: OCaml,
F#, Coq. *)
val rev: list 'a -> Tot (list 'a)
let rev l = rev_acc l []
(** [append l1 l2] appends the elements of [l2] to the end of [l1]. Named as: OCaml, F#. Similar to: [List.app] in Coq. *)
val append: list 'a -> list 'a -> Tot (list 'a)
let rec append x y = match x with
| [] -> y
| a::tl -> a::append tl y
(** Defines notation [@@] for [append], as in OCaml, F# . *)
let op_At x y = append x y
(** [snoc (l, x)] adds [x] to the end of the list [l].
Note: We use an uncurried [snoc (l, x)] instead of the curried
[snoc l x]. This is intentional. If [snoc] takes a pair instead
of 2 arguments, it allows for a better pattern on
[lemma_unsnoc_snoc], which connects [snoc] and [unsnoc]. In
particular, if we had two arguments, then either the pattern would
either be too restrictive or would lead to over-triggering. More
context for this can be seen in the (collapsed and uncollapsed)
comments at https://github.com/FStarLang/FStar/pull/1560 *)
val snoc: (list 'a * 'a) -> Tot (list 'a)
let snoc (l, x) = append l [x]
(** [flatten l], where [l] is a list of lists, returns the list of the
elements of the lists in [l], preserving their order. Named as in:
OCaml, Coq. *)
val flatten: list (list 'a) -> Tot (list 'a)
let rec flatten l = match l with
| [] -> []
| hd::tl -> append hd (flatten tl)
(** [map f l] applies [f] to each element of [l] and returns the list
of results, in the order of the original elements in [l]. Requires, at
type-checking time, [f] to be a pure total function. Named as in: OCaml, Coq, F# *)
val map: ('a -> Tot 'b) -> list 'a -> Tot (list 'b)
let rec map f x = match x with
| [] -> []
| a::tl -> f a::map f tl
(** [mapi_init f l n] applies, for each [k], [f (n+k)] to the [k]-th
element of [l] and returns the list of results, in the order of the
original elements in [l]. Requires, at type-checking time, [f] to be a
pure total function. *)
val mapi_init: (int -> 'a -> Tot 'b) -> list 'a -> int -> Tot (list 'b)
let rec mapi_init f l i = match l with
| [] -> []
| hd::tl -> (f i hd)::(mapi_init f tl (i+1))
(** [mapi f l] applies, for each [k], [f k] to the [k]-th element of
[l] and returns the list of results, in the order of the original
elements in [l]. Requires, at type-checking time, [f] to be a pure
total function. Named as in: OCaml *)
val mapi: (int -> 'a -> Tot 'b) -> list 'a -> Tot (list 'b)
let mapi f l = mapi_init f l 0
(** [concatMap f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. This is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. *)
val concatMap: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec concatMap f = function
| [] -> []
| a::tl ->
let fa = f a in
let ftl = concatMap f tl in
append fa ftl
(** [fold_left f x [y1; y2; ...; yn]] computes (f (... (f x y1) y2)
... yn). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq. *)
val fold_left: ('a -> 'b -> Tot 'a) -> 'a -> l:list 'b -> Tot 'a (decreases l)
let rec fold_left f x l = match l with
| [] -> x
| hd::tl -> fold_left f (f x hd) tl
(** [fold_right f [x1; x2; ...; xn] y] computes (f x1 (f x2 (... (f xn
y)) ... )). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq *)
val fold_right: ('a -> 'b -> Tot 'b) -> list 'a -> 'b -> Tot 'b
let rec fold_right f l x = match l with
| [] -> x
| hd::tl -> f hd (fold_right f tl x)
(** [fold_right_gtot] is just like [fold_right], except `f` is
a ghost function **)
let rec fold_right_gtot (#a:Type) (#b:Type) (l:list a) (f:a -> b -> GTot b) (x:b)
: GTot b
= match l with
| [] -> x
| hd::tl -> f hd (fold_right_gtot tl f x)
(* We define map in terms of fold, to share simple lemmas *)
let map_gtot #a #b (f:a -> GTot b) (x:list a)
: GTot (list b)
= fold_right_gtot x (fun x tl -> f x :: tl) []
(** [fold_left2 f x [y1; y2; ...; yn] [z1; z2; ...; zn]] computes (f
(... (f x y1 z1) y2 z2) ... yn zn). Requires, at type-checking time,
[f] to be a pure total function, and the lists [y1; y2; ...; yn] and
[z1; z2; ...; zn] to have the same lengths. Named as in: OCaml *)
val fold_left2 : f:('a -> 'b -> 'c -> Tot 'a) -> accu:'a -> l1:(list 'b) -> l2:(list 'c) ->
Pure 'a (requires (length l1 == length l2)) (ensures (fun _ -> True)) (decreases l1)
let rec fold_left2 f accu l1 l2 =
match (l1, l2) with
| ([], []) -> accu
| (a1::l1, a2::l2) -> fold_left2 f (f accu a1 a2) l1 l2
(** Propositional membership (as in Coq). Does not require decidable
equality. *)
(** [memP x l] holds if, and only if, [x] appears as an
element of [l]. Similar to: List.In in Coq. *)
let rec memP (#a: Type) (x: a) (l: list a) : Tot Type0 =
match l with
| [] -> False
| y :: q -> x == y \/ memP x q
(** List searching **)
(** [mem x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. Named as in: OCaml. See also:
List.In in Coq, which is propositional. *)
val mem: #a:eqtype -> a -> list a -> Tot bool
let rec mem #a x = function
| [] -> false
| hd::tl -> if hd = x then true else mem x tl
(** [contains x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. It is equivalent to: [mem x
l]. TODO: should we rather swap the order of arguments? *)
let contains : #a:eqtype -> a -> list a -> Tot bool = mem
(** [existsb f l] returns [true] if, and only if, there exists some
element [x] in [l] such that [f x] holds. *)
val existsb: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot bool
let rec existsb #a f l = match l with
| [] -> false
| hd::tl -> if f hd then true else existsb f tl
(** [find f l] returns [Some x] for some element [x] appearing in [l]
such that [f x] holds, or [None] only if no such [x] exists. *)
val find: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot (option (x:a{f x}))
let rec find #a f l = match l with
| [] -> None #(x:a{f x}) //These type annotations are only present because it makes bootstrapping go much faster
| hd::tl -> if f hd then Some #(x:a{f x}) hd else find f tl
(** Filtering elements of a list [l] through a Boolean pure total
predicate [f] *)
(** [filter f l] returns [l] with all elements [x] such that [f x]
does not hold removed. Requires, at type-checking time, [f] to be a
pure total function. Named as in: OCaml, Coq *)
val filter : #a: Type -> f:(a -> Tot bool) -> l: list a -> Tot (m:list a{forall x. memP x m ==> f x})
let rec filter #a f = function
| [] -> []
| hd::tl -> if f hd then hd::filter f tl else filter f tl
(** Postcondition on [filter f l]: for any element [x] of [filter f l],
[f x] holds. Requires, at type-checking time, [f] to be a pure total
function.*)
val mem_filter (#a:Type) (f: (a -> Tot bool)) (l: list a) (x: a) : Lemma
(requires (memP x (filter f l)))
(ensures (f x))
let mem_filter f l x = ()
(** Postcondition on [filter f l]: stated with [forall]: for any element
[x] of [filter f l], [f x] holds. Requires, at type-checking time, [f]
to be a pure total function. *)
val mem_filter_forall (#a:Type) (f: (a -> Tot bool)) (l: list a) : Lemma
(requires True)
(ensures (forall x . memP x (filter f l) ==> f x))
[SMTPat (filter f l)]
let mem_filter_forall f l = FStar.Classical.ghost_lemma (mem_filter f l)
(** [for_all f l] returns [true] if, and only if, for all elements [x]
appearing in [l], [f x] holds. Requires, at type-checking time, [f] to
be a pure total function. Named as in: OCaml. Similar to: List.forallb
in Coq *) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.List.Tot.Base.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"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 | f: (_: 'a -> Prims.bool) -> l: Prims.list 'a -> Prims.bool | Prims.Tot | [
"total"
] | [] | [
"Prims.bool",
"Prims.list",
"FStar.List.Tot.Base.for_all"
] | [
"recursion"
] | false | false | false | true | false | let rec for_all f l =
| match l with
| [] -> true
| hd :: tl -> if f hd then for_all f tl else false | false |
FStar.List.Tot.Base.fst | FStar.List.Tot.Base.existsb | val existsb: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot bool | val existsb: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot bool | let rec existsb #a f l = match l with
| [] -> false
| hd::tl -> if f hd then true else existsb f tl | {
"file_name": "ulib/FStar.List.Tot.Base.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 48,
"end_line": 258,
"start_col": 0,
"start_line": 256
} | (*
Copyright 2008-2014 Nikhil Swamy and 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.
*)
(**
This module defines all pure and total operations on lists that can be
used in specifications. It is implemented by FStar_List_Tot_Base.ml, any
functional change and/or the addition of new functions MUST be reflected
there.
@summary Pure total operations on lists
*)
module FStar.List.Tot.Base
(**
Base operations
*)
(** [isEmpty l] returns [true] if and only if [l] is empty *)
val isEmpty: list 'a -> Tot bool
let isEmpty l = match l with
| [] -> true
| _ -> false
(** [hd l] returns the first element of [l]. Requires [l] to be
nonempty, at type-checking time. Named as in: OCaml, F#, Coq *)
val hd: l:list 'a{Cons? l} -> Tot 'a
let hd = function
| hd::_ -> hd
(** [tail l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Similar to: tl in OCaml, F#, Coq
*)
val tail: l:list 'a {Cons? l} -> Tot (list 'a)
let tail = function
| _::tl -> tl
(** [tl l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Named as in: OCaml, F#, Coq
*)
val tl: l:list 'a {Cons? l} -> Tot (list 'a)
let tl = tail
(** [last l] returns the last element of [l]. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val last: l:list 'a {Cons? l} -> Tot 'a
let rec last = function
| [hd] -> hd
| _::tl -> last tl
(** [init l] returns [l] without its last element. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val init: l:list 'a {Cons? l} -> Tot (list 'a)
let rec init = function
| [_] -> []
| hd::tl -> hd::(init tl)
(** [length l] returns the total number of elements in [l]. Named as
in: OCaml, F#, Coq *)
val length: list 'a -> Tot nat
let rec length = function
| [] -> 0
| _::tl -> 1 + length tl
(** [nth l n] returns the [n]-th element in list [l] (with the first
element being the 0-th) if [l] is long enough, or [None]
otherwise. Named as in: OCaml, F#, Coq *)
val nth: list 'a -> nat -> Tot (option 'a)
let rec nth l n = match l with
| [] -> None
| hd::tl -> if n = 0 then Some hd else nth tl (n - 1)
(** [index l n] returns the [n]-th element in list [l] (with the first
element being the 0-th). Requires, at type-checking time, that [l] be
of length at least [n+1]. *)
val index: #a:Type -> l:list a -> i:nat{i < length l} -> Tot a
let rec index #a (l: list a) (i:nat{i < length l}): Tot a =
if i = 0 then
hd l
else
index (tl l) (i - 1)
(** [count x l] returns the number of occurrences of [x] in
[l]. Requires, at type-checking time, the type of [a] to have equality
defined. Similar to: [List.count_occ] in Coq. *)
val count: #a:eqtype -> a -> list a -> Tot nat
let rec count #a x = function
| [] -> 0
| hd::tl -> if x=hd then 1 + count x tl else count x tl
(** [rev_acc l1 l2] appends the elements of [l1] to the beginning of
[l2], in reverse order. It is equivalent to [append (rev l1) l2], but
is tail-recursive. Similar to: [List.rev_append] in OCaml, Coq. *)
val rev_acc: list 'a -> list 'a -> Tot (list 'a)
let rec rev_acc l acc = match l with
| [] -> acc
| hd::tl -> rev_acc tl (hd::acc)
(** [rev l] returns the list [l] in reverse order. Named as in: OCaml,
F#, Coq. *)
val rev: list 'a -> Tot (list 'a)
let rev l = rev_acc l []
(** [append l1 l2] appends the elements of [l2] to the end of [l1]. Named as: OCaml, F#. Similar to: [List.app] in Coq. *)
val append: list 'a -> list 'a -> Tot (list 'a)
let rec append x y = match x with
| [] -> y
| a::tl -> a::append tl y
(** Defines notation [@@] for [append], as in OCaml, F# . *)
let op_At x y = append x y
(** [snoc (l, x)] adds [x] to the end of the list [l].
Note: We use an uncurried [snoc (l, x)] instead of the curried
[snoc l x]. This is intentional. If [snoc] takes a pair instead
of 2 arguments, it allows for a better pattern on
[lemma_unsnoc_snoc], which connects [snoc] and [unsnoc]. In
particular, if we had two arguments, then either the pattern would
either be too restrictive or would lead to over-triggering. More
context for this can be seen in the (collapsed and uncollapsed)
comments at https://github.com/FStarLang/FStar/pull/1560 *)
val snoc: (list 'a * 'a) -> Tot (list 'a)
let snoc (l, x) = append l [x]
(** [flatten l], where [l] is a list of lists, returns the list of the
elements of the lists in [l], preserving their order. Named as in:
OCaml, Coq. *)
val flatten: list (list 'a) -> Tot (list 'a)
let rec flatten l = match l with
| [] -> []
| hd::tl -> append hd (flatten tl)
(** [map f l] applies [f] to each element of [l] and returns the list
of results, in the order of the original elements in [l]. Requires, at
type-checking time, [f] to be a pure total function. Named as in: OCaml, Coq, F# *)
val map: ('a -> Tot 'b) -> list 'a -> Tot (list 'b)
let rec map f x = match x with
| [] -> []
| a::tl -> f a::map f tl
(** [mapi_init f l n] applies, for each [k], [f (n+k)] to the [k]-th
element of [l] and returns the list of results, in the order of the
original elements in [l]. Requires, at type-checking time, [f] to be a
pure total function. *)
val mapi_init: (int -> 'a -> Tot 'b) -> list 'a -> int -> Tot (list 'b)
let rec mapi_init f l i = match l with
| [] -> []
| hd::tl -> (f i hd)::(mapi_init f tl (i+1))
(** [mapi f l] applies, for each [k], [f k] to the [k]-th element of
[l] and returns the list of results, in the order of the original
elements in [l]. Requires, at type-checking time, [f] to be a pure
total function. Named as in: OCaml *)
val mapi: (int -> 'a -> Tot 'b) -> list 'a -> Tot (list 'b)
let mapi f l = mapi_init f l 0
(** [concatMap f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. This is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. *)
val concatMap: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec concatMap f = function
| [] -> []
| a::tl ->
let fa = f a in
let ftl = concatMap f tl in
append fa ftl
(** [fold_left f x [y1; y2; ...; yn]] computes (f (... (f x y1) y2)
... yn). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq. *)
val fold_left: ('a -> 'b -> Tot 'a) -> 'a -> l:list 'b -> Tot 'a (decreases l)
let rec fold_left f x l = match l with
| [] -> x
| hd::tl -> fold_left f (f x hd) tl
(** [fold_right f [x1; x2; ...; xn] y] computes (f x1 (f x2 (... (f xn
y)) ... )). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq *)
val fold_right: ('a -> 'b -> Tot 'b) -> list 'a -> 'b -> Tot 'b
let rec fold_right f l x = match l with
| [] -> x
| hd::tl -> f hd (fold_right f tl x)
(** [fold_right_gtot] is just like [fold_right], except `f` is
a ghost function **)
let rec fold_right_gtot (#a:Type) (#b:Type) (l:list a) (f:a -> b -> GTot b) (x:b)
: GTot b
= match l with
| [] -> x
| hd::tl -> f hd (fold_right_gtot tl f x)
(* We define map in terms of fold, to share simple lemmas *)
let map_gtot #a #b (f:a -> GTot b) (x:list a)
: GTot (list b)
= fold_right_gtot x (fun x tl -> f x :: tl) []
(** [fold_left2 f x [y1; y2; ...; yn] [z1; z2; ...; zn]] computes (f
(... (f x y1 z1) y2 z2) ... yn zn). Requires, at type-checking time,
[f] to be a pure total function, and the lists [y1; y2; ...; yn] and
[z1; z2; ...; zn] to have the same lengths. Named as in: OCaml *)
val fold_left2 : f:('a -> 'b -> 'c -> Tot 'a) -> accu:'a -> l1:(list 'b) -> l2:(list 'c) ->
Pure 'a (requires (length l1 == length l2)) (ensures (fun _ -> True)) (decreases l1)
let rec fold_left2 f accu l1 l2 =
match (l1, l2) with
| ([], []) -> accu
| (a1::l1, a2::l2) -> fold_left2 f (f accu a1 a2) l1 l2
(** Propositional membership (as in Coq). Does not require decidable
equality. *)
(** [memP x l] holds if, and only if, [x] appears as an
element of [l]. Similar to: List.In in Coq. *)
let rec memP (#a: Type) (x: a) (l: list a) : Tot Type0 =
match l with
| [] -> False
| y :: q -> x == y \/ memP x q
(** List searching **)
(** [mem x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. Named as in: OCaml. See also:
List.In in Coq, which is propositional. *)
val mem: #a:eqtype -> a -> list a -> Tot bool
let rec mem #a x = function
| [] -> false
| hd::tl -> if hd = x then true else mem x tl
(** [contains x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. It is equivalent to: [mem x
l]. TODO: should we rather swap the order of arguments? *)
let contains : #a:eqtype -> a -> list a -> Tot bool = mem
(** [existsb f l] returns [true] if, and only if, there exists some
element [x] in [l] such that [f x] holds. *)
val existsb: #a:Type
-> f:(a -> Tot bool)
-> list a | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.List.Tot.Base.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"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 | f: (_: a -> Prims.bool) -> l: Prims.list a -> Prims.bool | Prims.Tot | [
"total"
] | [] | [
"Prims.bool",
"Prims.list",
"FStar.List.Tot.Base.existsb"
] | [
"recursion"
] | false | false | false | true | false | let rec existsb #a f l =
| match l with
| [] -> false
| hd :: tl -> if f hd then true else existsb f tl | false |
FStar.List.Tot.Base.fst | FStar.List.Tot.Base.for_all_mem | val for_all_mem (#a: Type) (f: (a -> Tot bool)) (l: list a)
: Lemma (for_all f l <==> (forall x. memP x l ==> f x)) | val for_all_mem (#a: Type) (f: (a -> Tot bool)) (l: list a)
: Lemma (for_all f l <==> (forall x. memP x l ==> f x)) | let rec for_all_mem
(#a: Type)
(f: (a -> Tot bool))
(l: list a)
: Lemma
(for_all f l <==> (forall x . memP x l ==> f x))
= match l with
| [] -> ()
| _ :: q -> for_all_mem f q | {
"file_name": "ulib/FStar.List.Tot.Base.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 29,
"end_line": 316,
"start_col": 0,
"start_line": 308
} | (*
Copyright 2008-2014 Nikhil Swamy and 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.
*)
(**
This module defines all pure and total operations on lists that can be
used in specifications. It is implemented by FStar_List_Tot_Base.ml, any
functional change and/or the addition of new functions MUST be reflected
there.
@summary Pure total operations on lists
*)
module FStar.List.Tot.Base
(**
Base operations
*)
(** [isEmpty l] returns [true] if and only if [l] is empty *)
val isEmpty: list 'a -> Tot bool
let isEmpty l = match l with
| [] -> true
| _ -> false
(** [hd l] returns the first element of [l]. Requires [l] to be
nonempty, at type-checking time. Named as in: OCaml, F#, Coq *)
val hd: l:list 'a{Cons? l} -> Tot 'a
let hd = function
| hd::_ -> hd
(** [tail l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Similar to: tl in OCaml, F#, Coq
*)
val tail: l:list 'a {Cons? l} -> Tot (list 'a)
let tail = function
| _::tl -> tl
(** [tl l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Named as in: OCaml, F#, Coq
*)
val tl: l:list 'a {Cons? l} -> Tot (list 'a)
let tl = tail
(** [last l] returns the last element of [l]. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val last: l:list 'a {Cons? l} -> Tot 'a
let rec last = function
| [hd] -> hd
| _::tl -> last tl
(** [init l] returns [l] without its last element. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val init: l:list 'a {Cons? l} -> Tot (list 'a)
let rec init = function
| [_] -> []
| hd::tl -> hd::(init tl)
(** [length l] returns the total number of elements in [l]. Named as
in: OCaml, F#, Coq *)
val length: list 'a -> Tot nat
let rec length = function
| [] -> 0
| _::tl -> 1 + length tl
(** [nth l n] returns the [n]-th element in list [l] (with the first
element being the 0-th) if [l] is long enough, or [None]
otherwise. Named as in: OCaml, F#, Coq *)
val nth: list 'a -> nat -> Tot (option 'a)
let rec nth l n = match l with
| [] -> None
| hd::tl -> if n = 0 then Some hd else nth tl (n - 1)
(** [index l n] returns the [n]-th element in list [l] (with the first
element being the 0-th). Requires, at type-checking time, that [l] be
of length at least [n+1]. *)
val index: #a:Type -> l:list a -> i:nat{i < length l} -> Tot a
let rec index #a (l: list a) (i:nat{i < length l}): Tot a =
if i = 0 then
hd l
else
index (tl l) (i - 1)
(** [count x l] returns the number of occurrences of [x] in
[l]. Requires, at type-checking time, the type of [a] to have equality
defined. Similar to: [List.count_occ] in Coq. *)
val count: #a:eqtype -> a -> list a -> Tot nat
let rec count #a x = function
| [] -> 0
| hd::tl -> if x=hd then 1 + count x tl else count x tl
(** [rev_acc l1 l2] appends the elements of [l1] to the beginning of
[l2], in reverse order. It is equivalent to [append (rev l1) l2], but
is tail-recursive. Similar to: [List.rev_append] in OCaml, Coq. *)
val rev_acc: list 'a -> list 'a -> Tot (list 'a)
let rec rev_acc l acc = match l with
| [] -> acc
| hd::tl -> rev_acc tl (hd::acc)
(** [rev l] returns the list [l] in reverse order. Named as in: OCaml,
F#, Coq. *)
val rev: list 'a -> Tot (list 'a)
let rev l = rev_acc l []
(** [append l1 l2] appends the elements of [l2] to the end of [l1]. Named as: OCaml, F#. Similar to: [List.app] in Coq. *)
val append: list 'a -> list 'a -> Tot (list 'a)
let rec append x y = match x with
| [] -> y
| a::tl -> a::append tl y
(** Defines notation [@@] for [append], as in OCaml, F# . *)
let op_At x y = append x y
(** [snoc (l, x)] adds [x] to the end of the list [l].
Note: We use an uncurried [snoc (l, x)] instead of the curried
[snoc l x]. This is intentional. If [snoc] takes a pair instead
of 2 arguments, it allows for a better pattern on
[lemma_unsnoc_snoc], which connects [snoc] and [unsnoc]. In
particular, if we had two arguments, then either the pattern would
either be too restrictive or would lead to over-triggering. More
context for this can be seen in the (collapsed and uncollapsed)
comments at https://github.com/FStarLang/FStar/pull/1560 *)
val snoc: (list 'a * 'a) -> Tot (list 'a)
let snoc (l, x) = append l [x]
(** [flatten l], where [l] is a list of lists, returns the list of the
elements of the lists in [l], preserving their order. Named as in:
OCaml, Coq. *)
val flatten: list (list 'a) -> Tot (list 'a)
let rec flatten l = match l with
| [] -> []
| hd::tl -> append hd (flatten tl)
(** [map f l] applies [f] to each element of [l] and returns the list
of results, in the order of the original elements in [l]. Requires, at
type-checking time, [f] to be a pure total function. Named as in: OCaml, Coq, F# *)
val map: ('a -> Tot 'b) -> list 'a -> Tot (list 'b)
let rec map f x = match x with
| [] -> []
| a::tl -> f a::map f tl
(** [mapi_init f l n] applies, for each [k], [f (n+k)] to the [k]-th
element of [l] and returns the list of results, in the order of the
original elements in [l]. Requires, at type-checking time, [f] to be a
pure total function. *)
val mapi_init: (int -> 'a -> Tot 'b) -> list 'a -> int -> Tot (list 'b)
let rec mapi_init f l i = match l with
| [] -> []
| hd::tl -> (f i hd)::(mapi_init f tl (i+1))
(** [mapi f l] applies, for each [k], [f k] to the [k]-th element of
[l] and returns the list of results, in the order of the original
elements in [l]. Requires, at type-checking time, [f] to be a pure
total function. Named as in: OCaml *)
val mapi: (int -> 'a -> Tot 'b) -> list 'a -> Tot (list 'b)
let mapi f l = mapi_init f l 0
(** [concatMap f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. This is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. *)
val concatMap: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec concatMap f = function
| [] -> []
| a::tl ->
let fa = f a in
let ftl = concatMap f tl in
append fa ftl
(** [fold_left f x [y1; y2; ...; yn]] computes (f (... (f x y1) y2)
... yn). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq. *)
val fold_left: ('a -> 'b -> Tot 'a) -> 'a -> l:list 'b -> Tot 'a (decreases l)
let rec fold_left f x l = match l with
| [] -> x
| hd::tl -> fold_left f (f x hd) tl
(** [fold_right f [x1; x2; ...; xn] y] computes (f x1 (f x2 (... (f xn
y)) ... )). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq *)
val fold_right: ('a -> 'b -> Tot 'b) -> list 'a -> 'b -> Tot 'b
let rec fold_right f l x = match l with
| [] -> x
| hd::tl -> f hd (fold_right f tl x)
(** [fold_right_gtot] is just like [fold_right], except `f` is
a ghost function **)
let rec fold_right_gtot (#a:Type) (#b:Type) (l:list a) (f:a -> b -> GTot b) (x:b)
: GTot b
= match l with
| [] -> x
| hd::tl -> f hd (fold_right_gtot tl f x)
(* We define map in terms of fold, to share simple lemmas *)
let map_gtot #a #b (f:a -> GTot b) (x:list a)
: GTot (list b)
= fold_right_gtot x (fun x tl -> f x :: tl) []
(** [fold_left2 f x [y1; y2; ...; yn] [z1; z2; ...; zn]] computes (f
(... (f x y1 z1) y2 z2) ... yn zn). Requires, at type-checking time,
[f] to be a pure total function, and the lists [y1; y2; ...; yn] and
[z1; z2; ...; zn] to have the same lengths. Named as in: OCaml *)
val fold_left2 : f:('a -> 'b -> 'c -> Tot 'a) -> accu:'a -> l1:(list 'b) -> l2:(list 'c) ->
Pure 'a (requires (length l1 == length l2)) (ensures (fun _ -> True)) (decreases l1)
let rec fold_left2 f accu l1 l2 =
match (l1, l2) with
| ([], []) -> accu
| (a1::l1, a2::l2) -> fold_left2 f (f accu a1 a2) l1 l2
(** Propositional membership (as in Coq). Does not require decidable
equality. *)
(** [memP x l] holds if, and only if, [x] appears as an
element of [l]. Similar to: List.In in Coq. *)
let rec memP (#a: Type) (x: a) (l: list a) : Tot Type0 =
match l with
| [] -> False
| y :: q -> x == y \/ memP x q
(** List searching **)
(** [mem x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. Named as in: OCaml. See also:
List.In in Coq, which is propositional. *)
val mem: #a:eqtype -> a -> list a -> Tot bool
let rec mem #a x = function
| [] -> false
| hd::tl -> if hd = x then true else mem x tl
(** [contains x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. It is equivalent to: [mem x
l]. TODO: should we rather swap the order of arguments? *)
let contains : #a:eqtype -> a -> list a -> Tot bool = mem
(** [existsb f l] returns [true] if, and only if, there exists some
element [x] in [l] such that [f x] holds. *)
val existsb: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot bool
let rec existsb #a f l = match l with
| [] -> false
| hd::tl -> if f hd then true else existsb f tl
(** [find f l] returns [Some x] for some element [x] appearing in [l]
such that [f x] holds, or [None] only if no such [x] exists. *)
val find: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot (option (x:a{f x}))
let rec find #a f l = match l with
| [] -> None #(x:a{f x}) //These type annotations are only present because it makes bootstrapping go much faster
| hd::tl -> if f hd then Some #(x:a{f x}) hd else find f tl
(** Filtering elements of a list [l] through a Boolean pure total
predicate [f] *)
(** [filter f l] returns [l] with all elements [x] such that [f x]
does not hold removed. Requires, at type-checking time, [f] to be a
pure total function. Named as in: OCaml, Coq *)
val filter : #a: Type -> f:(a -> Tot bool) -> l: list a -> Tot (m:list a{forall x. memP x m ==> f x})
let rec filter #a f = function
| [] -> []
| hd::tl -> if f hd then hd::filter f tl else filter f tl
(** Postcondition on [filter f l]: for any element [x] of [filter f l],
[f x] holds. Requires, at type-checking time, [f] to be a pure total
function.*)
val mem_filter (#a:Type) (f: (a -> Tot bool)) (l: list a) (x: a) : Lemma
(requires (memP x (filter f l)))
(ensures (f x))
let mem_filter f l x = ()
(** Postcondition on [filter f l]: stated with [forall]: for any element
[x] of [filter f l], [f x] holds. Requires, at type-checking time, [f]
to be a pure total function. *)
val mem_filter_forall (#a:Type) (f: (a -> Tot bool)) (l: list a) : Lemma
(requires True)
(ensures (forall x . memP x (filter f l) ==> f x))
[SMTPat (filter f l)]
let mem_filter_forall f l = FStar.Classical.ghost_lemma (mem_filter f l)
(** [for_all f l] returns [true] if, and only if, for all elements [x]
appearing in [l], [f x] holds. Requires, at type-checking time, [f] to
be a pure total function. Named as in: OCaml. Similar to: List.forallb
in Coq *)
val for_all: ('a -> Tot bool) -> list 'a -> Tot bool
let rec for_all f l = match l with
| [] -> true
| hd::tl -> if f hd then for_all f tl else false | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.List.Tot.Base.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"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 | f: (_: a -> Prims.bool) -> l: Prims.list a
-> FStar.Pervasives.Lemma
(ensures
FStar.List.Tot.Base.for_all f l <==> (forall (x: a). FStar.List.Tot.Base.memP x l ==> f x)) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"Prims.bool",
"Prims.list",
"FStar.List.Tot.Base.for_all_mem",
"Prims.unit",
"Prims.l_True",
"Prims.squash",
"Prims.l_iff",
"Prims.b2t",
"FStar.List.Tot.Base.for_all",
"Prims.l_Forall",
"Prims.l_imp",
"FStar.List.Tot.Base.memP",
"Prims.Nil",
"FStar.Pervasives.pattern"
] | [
"recursion"
] | false | false | true | false | false | let rec for_all_mem (#a: Type) (f: (a -> Tot bool)) (l: list a)
: Lemma (for_all f l <==> (forall x. memP x l ==> f x)) =
| match l with
| [] -> ()
| _ :: q -> for_all_mem f q | false |
Vale.X64.InsAes.fst | Vale.X64.InsAes.va_wpProof_Pclmulqdq | val va_wpProof_Pclmulqdq : dst:va_operand_xmm -> src:va_operand_xmm -> dstHi:bool -> srcHi:bool ->
va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Pclmulqdq dst src dstHi srcHi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Pclmulqdq dst src dstHi srcHi)
([va_Mod_flags; va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) | val va_wpProof_Pclmulqdq : dst:va_operand_xmm -> src:va_operand_xmm -> dstHi:bool -> srcHi:bool ->
va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Pclmulqdq dst src dstHi srcHi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Pclmulqdq dst src dstHi srcHi)
([va_Mod_flags; va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) | let va_wpProof_Pclmulqdq dst src dstHi srcHi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Pclmulqdq (va_code_Pclmulqdq dst src dstHi srcHi) va_s0 dst src
dstHi srcHi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.X64.InsAes.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 48,
"start_col": 0,
"start_line": 40
} | module Vale.X64.InsAes
open Vale.Def.Types_s
open Vale.X64.Machine_s
open Vale.X64
open Vale.X64.State
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.Decls
open Vale.X64.CPU_Features_s
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
module P = Vale.X64.Print_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 4 --max_fuel 4 --z3rlimit 20"
//-- Pclmulqdq
[@ "opaque_to_smt"]
let va_code_Pclmulqdq dst src dstHi srcHi =
(mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16 else 0)))
(OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_Pclmulqdq dst src dstHi srcHi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Pclmulqdq va_b0 va_s0 dst src dstHi srcHi =
va_reveal_opaque (`%va_code_Pclmulqdq) (va_code_Pclmulqdq dst src dstHi srcHi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16
else 0))) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) +
(if srcHi then 16 else 0))) (OReg dst) (OReg src))) va_s0 in
(va_sM, va_fM) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.State.fsti.checked",
"Vale.X64.Print_s.fst.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.AES.AES_s.fst.checked",
"Vale.AES.AES_common_s.fst.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsAes.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Print_s",
"short_module": "P"
},
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"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.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"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": 4,
"initial_ifuel": 0,
"max_fuel": 4,
"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 |
dst: Vale.X64.Decls.va_operand_xmm ->
src: Vale.X64.Decls.va_operand_xmm ->
dstHi: Prims.bool ->
srcHi: Prims.bool ->
va_s0: Vale.X64.Decls.va_state ->
va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_operand_xmm",
"Prims.bool",
"Vale.X64.Decls.va_state",
"Prims.unit",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.X64.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.X64.QuickCode.mod_t",
"Vale.X64.QuickCode.va_Mod_flags",
"Vale.X64.QuickCode.va_mod_xmm",
"Prims.Nil",
"Prims._assert",
"Vale.X64.Decls.va_state_eq",
"Vale.X64.Decls.va_update_flags",
"Vale.X64.Decls.va_update_ok",
"Vale.X64.Decls.va_update_operand_xmm",
"Vale.X64.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.X64.State.vale_state",
"Vale.X64.InsAes.va_lemma_Pclmulqdq",
"Vale.X64.InsAes.va_code_Pclmulqdq"
] | [] | false | false | false | false | false | let va_wpProof_Pclmulqdq dst src dstHi srcHi va_s0 va_k =
| let va_sM, va_f0 =
va_lemma_Pclmulqdq (va_code_Pclmulqdq dst src dstHi srcHi) va_s0 dst src dstHi srcHi
in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM
(va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | false |
FStar.List.Tot.Base.fst | FStar.List.Tot.Base.find | val find: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot (option (x:a{f x})) | val find: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot (option (x:a{f x})) | let rec find #a f l = match l with
| [] -> None #(x:a{f x}) //These type annotations are only present because it makes bootstrapping go much faster
| hd::tl -> if f hd then Some #(x:a{f x}) hd else find f tl | {
"file_name": "ulib/FStar.List.Tot.Base.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 61,
"end_line": 268,
"start_col": 0,
"start_line": 266
} | (*
Copyright 2008-2014 Nikhil Swamy and 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.
*)
(**
This module defines all pure and total operations on lists that can be
used in specifications. It is implemented by FStar_List_Tot_Base.ml, any
functional change and/or the addition of new functions MUST be reflected
there.
@summary Pure total operations on lists
*)
module FStar.List.Tot.Base
(**
Base operations
*)
(** [isEmpty l] returns [true] if and only if [l] is empty *)
val isEmpty: list 'a -> Tot bool
let isEmpty l = match l with
| [] -> true
| _ -> false
(** [hd l] returns the first element of [l]. Requires [l] to be
nonempty, at type-checking time. Named as in: OCaml, F#, Coq *)
val hd: l:list 'a{Cons? l} -> Tot 'a
let hd = function
| hd::_ -> hd
(** [tail l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Similar to: tl in OCaml, F#, Coq
*)
val tail: l:list 'a {Cons? l} -> Tot (list 'a)
let tail = function
| _::tl -> tl
(** [tl l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Named as in: OCaml, F#, Coq
*)
val tl: l:list 'a {Cons? l} -> Tot (list 'a)
let tl = tail
(** [last l] returns the last element of [l]. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val last: l:list 'a {Cons? l} -> Tot 'a
let rec last = function
| [hd] -> hd
| _::tl -> last tl
(** [init l] returns [l] without its last element. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val init: l:list 'a {Cons? l} -> Tot (list 'a)
let rec init = function
| [_] -> []
| hd::tl -> hd::(init tl)
(** [length l] returns the total number of elements in [l]. Named as
in: OCaml, F#, Coq *)
val length: list 'a -> Tot nat
let rec length = function
| [] -> 0
| _::tl -> 1 + length tl
(** [nth l n] returns the [n]-th element in list [l] (with the first
element being the 0-th) if [l] is long enough, or [None]
otherwise. Named as in: OCaml, F#, Coq *)
val nth: list 'a -> nat -> Tot (option 'a)
let rec nth l n = match l with
| [] -> None
| hd::tl -> if n = 0 then Some hd else nth tl (n - 1)
(** [index l n] returns the [n]-th element in list [l] (with the first
element being the 0-th). Requires, at type-checking time, that [l] be
of length at least [n+1]. *)
val index: #a:Type -> l:list a -> i:nat{i < length l} -> Tot a
let rec index #a (l: list a) (i:nat{i < length l}): Tot a =
if i = 0 then
hd l
else
index (tl l) (i - 1)
(** [count x l] returns the number of occurrences of [x] in
[l]. Requires, at type-checking time, the type of [a] to have equality
defined. Similar to: [List.count_occ] in Coq. *)
val count: #a:eqtype -> a -> list a -> Tot nat
let rec count #a x = function
| [] -> 0
| hd::tl -> if x=hd then 1 + count x tl else count x tl
(** [rev_acc l1 l2] appends the elements of [l1] to the beginning of
[l2], in reverse order. It is equivalent to [append (rev l1) l2], but
is tail-recursive. Similar to: [List.rev_append] in OCaml, Coq. *)
val rev_acc: list 'a -> list 'a -> Tot (list 'a)
let rec rev_acc l acc = match l with
| [] -> acc
| hd::tl -> rev_acc tl (hd::acc)
(** [rev l] returns the list [l] in reverse order. Named as in: OCaml,
F#, Coq. *)
val rev: list 'a -> Tot (list 'a)
let rev l = rev_acc l []
(** [append l1 l2] appends the elements of [l2] to the end of [l1]. Named as: OCaml, F#. Similar to: [List.app] in Coq. *)
val append: list 'a -> list 'a -> Tot (list 'a)
let rec append x y = match x with
| [] -> y
| a::tl -> a::append tl y
(** Defines notation [@@] for [append], as in OCaml, F# . *)
let op_At x y = append x y
(** [snoc (l, x)] adds [x] to the end of the list [l].
Note: We use an uncurried [snoc (l, x)] instead of the curried
[snoc l x]. This is intentional. If [snoc] takes a pair instead
of 2 arguments, it allows for a better pattern on
[lemma_unsnoc_snoc], which connects [snoc] and [unsnoc]. In
particular, if we had two arguments, then either the pattern would
either be too restrictive or would lead to over-triggering. More
context for this can be seen in the (collapsed and uncollapsed)
comments at https://github.com/FStarLang/FStar/pull/1560 *)
val snoc: (list 'a * 'a) -> Tot (list 'a)
let snoc (l, x) = append l [x]
(** [flatten l], where [l] is a list of lists, returns the list of the
elements of the lists in [l], preserving their order. Named as in:
OCaml, Coq. *)
val flatten: list (list 'a) -> Tot (list 'a)
let rec flatten l = match l with
| [] -> []
| hd::tl -> append hd (flatten tl)
(** [map f l] applies [f] to each element of [l] and returns the list
of results, in the order of the original elements in [l]. Requires, at
type-checking time, [f] to be a pure total function. Named as in: OCaml, Coq, F# *)
val map: ('a -> Tot 'b) -> list 'a -> Tot (list 'b)
let rec map f x = match x with
| [] -> []
| a::tl -> f a::map f tl
(** [mapi_init f l n] applies, for each [k], [f (n+k)] to the [k]-th
element of [l] and returns the list of results, in the order of the
original elements in [l]. Requires, at type-checking time, [f] to be a
pure total function. *)
val mapi_init: (int -> 'a -> Tot 'b) -> list 'a -> int -> Tot (list 'b)
let rec mapi_init f l i = match l with
| [] -> []
| hd::tl -> (f i hd)::(mapi_init f tl (i+1))
(** [mapi f l] applies, for each [k], [f k] to the [k]-th element of
[l] and returns the list of results, in the order of the original
elements in [l]. Requires, at type-checking time, [f] to be a pure
total function. Named as in: OCaml *)
val mapi: (int -> 'a -> Tot 'b) -> list 'a -> Tot (list 'b)
let mapi f l = mapi_init f l 0
(** [concatMap f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. This is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. *)
val concatMap: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec concatMap f = function
| [] -> []
| a::tl ->
let fa = f a in
let ftl = concatMap f tl in
append fa ftl
(** [fold_left f x [y1; y2; ...; yn]] computes (f (... (f x y1) y2)
... yn). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq. *)
val fold_left: ('a -> 'b -> Tot 'a) -> 'a -> l:list 'b -> Tot 'a (decreases l)
let rec fold_left f x l = match l with
| [] -> x
| hd::tl -> fold_left f (f x hd) tl
(** [fold_right f [x1; x2; ...; xn] y] computes (f x1 (f x2 (... (f xn
y)) ... )). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq *)
val fold_right: ('a -> 'b -> Tot 'b) -> list 'a -> 'b -> Tot 'b
let rec fold_right f l x = match l with
| [] -> x
| hd::tl -> f hd (fold_right f tl x)
(** [fold_right_gtot] is just like [fold_right], except `f` is
a ghost function **)
let rec fold_right_gtot (#a:Type) (#b:Type) (l:list a) (f:a -> b -> GTot b) (x:b)
: GTot b
= match l with
| [] -> x
| hd::tl -> f hd (fold_right_gtot tl f x)
(* We define map in terms of fold, to share simple lemmas *)
let map_gtot #a #b (f:a -> GTot b) (x:list a)
: GTot (list b)
= fold_right_gtot x (fun x tl -> f x :: tl) []
(** [fold_left2 f x [y1; y2; ...; yn] [z1; z2; ...; zn]] computes (f
(... (f x y1 z1) y2 z2) ... yn zn). Requires, at type-checking time,
[f] to be a pure total function, and the lists [y1; y2; ...; yn] and
[z1; z2; ...; zn] to have the same lengths. Named as in: OCaml *)
val fold_left2 : f:('a -> 'b -> 'c -> Tot 'a) -> accu:'a -> l1:(list 'b) -> l2:(list 'c) ->
Pure 'a (requires (length l1 == length l2)) (ensures (fun _ -> True)) (decreases l1)
let rec fold_left2 f accu l1 l2 =
match (l1, l2) with
| ([], []) -> accu
| (a1::l1, a2::l2) -> fold_left2 f (f accu a1 a2) l1 l2
(** Propositional membership (as in Coq). Does not require decidable
equality. *)
(** [memP x l] holds if, and only if, [x] appears as an
element of [l]. Similar to: List.In in Coq. *)
let rec memP (#a: Type) (x: a) (l: list a) : Tot Type0 =
match l with
| [] -> False
| y :: q -> x == y \/ memP x q
(** List searching **)
(** [mem x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. Named as in: OCaml. See also:
List.In in Coq, which is propositional. *)
val mem: #a:eqtype -> a -> list a -> Tot bool
let rec mem #a x = function
| [] -> false
| hd::tl -> if hd = x then true else mem x tl
(** [contains x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. It is equivalent to: [mem x
l]. TODO: should we rather swap the order of arguments? *)
let contains : #a:eqtype -> a -> list a -> Tot bool = mem
(** [existsb f l] returns [true] if, and only if, there exists some
element [x] in [l] such that [f x] holds. *)
val existsb: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot bool
let rec existsb #a f l = match l with
| [] -> false
| hd::tl -> if f hd then true else existsb f tl
(** [find f l] returns [Some x] for some element [x] appearing in [l]
such that [f x] holds, or [None] only if no such [x] exists. *)
val find: #a:Type
-> f:(a -> Tot bool)
-> list a | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.List.Tot.Base.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"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 | f: (_: a -> Prims.bool) -> l: Prims.list a -> FStar.Pervasives.Native.option (x: a{f x}) | Prims.Tot | [
"total"
] | [] | [
"Prims.bool",
"Prims.list",
"FStar.Pervasives.Native.None",
"Prims.b2t",
"FStar.Pervasives.Native.Some",
"FStar.List.Tot.Base.find",
"FStar.Pervasives.Native.option"
] | [
"recursion"
] | false | false | false | false | false | let rec find #a f l =
| match l with
| [] -> None #(x: a{f x})
| hd :: tl -> if f hd then Some #(x: a{f x}) hd else find f tl | false |
FStar.List.Tot.Base.fst | FStar.List.Tot.Base.mem | val mem: #a:eqtype -> a -> list a -> Tot bool | val mem: #a:eqtype -> a -> list a -> Tot bool | let rec mem #a x = function
| [] -> false
| hd::tl -> if hd = x then true else mem x tl | {
"file_name": "ulib/FStar.List.Tot.Base.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 47,
"end_line": 242,
"start_col": 0,
"start_line": 240
} | (*
Copyright 2008-2014 Nikhil Swamy and 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.
*)
(**
This module defines all pure and total operations on lists that can be
used in specifications. It is implemented by FStar_List_Tot_Base.ml, any
functional change and/or the addition of new functions MUST be reflected
there.
@summary Pure total operations on lists
*)
module FStar.List.Tot.Base
(**
Base operations
*)
(** [isEmpty l] returns [true] if and only if [l] is empty *)
val isEmpty: list 'a -> Tot bool
let isEmpty l = match l with
| [] -> true
| _ -> false
(** [hd l] returns the first element of [l]. Requires [l] to be
nonempty, at type-checking time. Named as in: OCaml, F#, Coq *)
val hd: l:list 'a{Cons? l} -> Tot 'a
let hd = function
| hd::_ -> hd
(** [tail l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Similar to: tl in OCaml, F#, Coq
*)
val tail: l:list 'a {Cons? l} -> Tot (list 'a)
let tail = function
| _::tl -> tl
(** [tl l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Named as in: OCaml, F#, Coq
*)
val tl: l:list 'a {Cons? l} -> Tot (list 'a)
let tl = tail
(** [last l] returns the last element of [l]. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val last: l:list 'a {Cons? l} -> Tot 'a
let rec last = function
| [hd] -> hd
| _::tl -> last tl
(** [init l] returns [l] without its last element. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val init: l:list 'a {Cons? l} -> Tot (list 'a)
let rec init = function
| [_] -> []
| hd::tl -> hd::(init tl)
(** [length l] returns the total number of elements in [l]. Named as
in: OCaml, F#, Coq *)
val length: list 'a -> Tot nat
let rec length = function
| [] -> 0
| _::tl -> 1 + length tl
(** [nth l n] returns the [n]-th element in list [l] (with the first
element being the 0-th) if [l] is long enough, or [None]
otherwise. Named as in: OCaml, F#, Coq *)
val nth: list 'a -> nat -> Tot (option 'a)
let rec nth l n = match l with
| [] -> None
| hd::tl -> if n = 0 then Some hd else nth tl (n - 1)
(** [index l n] returns the [n]-th element in list [l] (with the first
element being the 0-th). Requires, at type-checking time, that [l] be
of length at least [n+1]. *)
val index: #a:Type -> l:list a -> i:nat{i < length l} -> Tot a
let rec index #a (l: list a) (i:nat{i < length l}): Tot a =
if i = 0 then
hd l
else
index (tl l) (i - 1)
(** [count x l] returns the number of occurrences of [x] in
[l]. Requires, at type-checking time, the type of [a] to have equality
defined. Similar to: [List.count_occ] in Coq. *)
val count: #a:eqtype -> a -> list a -> Tot nat
let rec count #a x = function
| [] -> 0
| hd::tl -> if x=hd then 1 + count x tl else count x tl
(** [rev_acc l1 l2] appends the elements of [l1] to the beginning of
[l2], in reverse order. It is equivalent to [append (rev l1) l2], but
is tail-recursive. Similar to: [List.rev_append] in OCaml, Coq. *)
val rev_acc: list 'a -> list 'a -> Tot (list 'a)
let rec rev_acc l acc = match l with
| [] -> acc
| hd::tl -> rev_acc tl (hd::acc)
(** [rev l] returns the list [l] in reverse order. Named as in: OCaml,
F#, Coq. *)
val rev: list 'a -> Tot (list 'a)
let rev l = rev_acc l []
(** [append l1 l2] appends the elements of [l2] to the end of [l1]. Named as: OCaml, F#. Similar to: [List.app] in Coq. *)
val append: list 'a -> list 'a -> Tot (list 'a)
let rec append x y = match x with
| [] -> y
| a::tl -> a::append tl y
(** Defines notation [@@] for [append], as in OCaml, F# . *)
let op_At x y = append x y
(** [snoc (l, x)] adds [x] to the end of the list [l].
Note: We use an uncurried [snoc (l, x)] instead of the curried
[snoc l x]. This is intentional. If [snoc] takes a pair instead
of 2 arguments, it allows for a better pattern on
[lemma_unsnoc_snoc], which connects [snoc] and [unsnoc]. In
particular, if we had two arguments, then either the pattern would
either be too restrictive or would lead to over-triggering. More
context for this can be seen in the (collapsed and uncollapsed)
comments at https://github.com/FStarLang/FStar/pull/1560 *)
val snoc: (list 'a * 'a) -> Tot (list 'a)
let snoc (l, x) = append l [x]
(** [flatten l], where [l] is a list of lists, returns the list of the
elements of the lists in [l], preserving their order. Named as in:
OCaml, Coq. *)
val flatten: list (list 'a) -> Tot (list 'a)
let rec flatten l = match l with
| [] -> []
| hd::tl -> append hd (flatten tl)
(** [map f l] applies [f] to each element of [l] and returns the list
of results, in the order of the original elements in [l]. Requires, at
type-checking time, [f] to be a pure total function. Named as in: OCaml, Coq, F# *)
val map: ('a -> Tot 'b) -> list 'a -> Tot (list 'b)
let rec map f x = match x with
| [] -> []
| a::tl -> f a::map f tl
(** [mapi_init f l n] applies, for each [k], [f (n+k)] to the [k]-th
element of [l] and returns the list of results, in the order of the
original elements in [l]. Requires, at type-checking time, [f] to be a
pure total function. *)
val mapi_init: (int -> 'a -> Tot 'b) -> list 'a -> int -> Tot (list 'b)
let rec mapi_init f l i = match l with
| [] -> []
| hd::tl -> (f i hd)::(mapi_init f tl (i+1))
(** [mapi f l] applies, for each [k], [f k] to the [k]-th element of
[l] and returns the list of results, in the order of the original
elements in [l]. Requires, at type-checking time, [f] to be a pure
total function. Named as in: OCaml *)
val mapi: (int -> 'a -> Tot 'b) -> list 'a -> Tot (list 'b)
let mapi f l = mapi_init f l 0
(** [concatMap f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. This is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. *)
val concatMap: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec concatMap f = function
| [] -> []
| a::tl ->
let fa = f a in
let ftl = concatMap f tl in
append fa ftl
(** [fold_left f x [y1; y2; ...; yn]] computes (f (... (f x y1) y2)
... yn). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq. *)
val fold_left: ('a -> 'b -> Tot 'a) -> 'a -> l:list 'b -> Tot 'a (decreases l)
let rec fold_left f x l = match l with
| [] -> x
| hd::tl -> fold_left f (f x hd) tl
(** [fold_right f [x1; x2; ...; xn] y] computes (f x1 (f x2 (... (f xn
y)) ... )). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq *)
val fold_right: ('a -> 'b -> Tot 'b) -> list 'a -> 'b -> Tot 'b
let rec fold_right f l x = match l with
| [] -> x
| hd::tl -> f hd (fold_right f tl x)
(** [fold_right_gtot] is just like [fold_right], except `f` is
a ghost function **)
let rec fold_right_gtot (#a:Type) (#b:Type) (l:list a) (f:a -> b -> GTot b) (x:b)
: GTot b
= match l with
| [] -> x
| hd::tl -> f hd (fold_right_gtot tl f x)
(* We define map in terms of fold, to share simple lemmas *)
let map_gtot #a #b (f:a -> GTot b) (x:list a)
: GTot (list b)
= fold_right_gtot x (fun x tl -> f x :: tl) []
(** [fold_left2 f x [y1; y2; ...; yn] [z1; z2; ...; zn]] computes (f
(... (f x y1 z1) y2 z2) ... yn zn). Requires, at type-checking time,
[f] to be a pure total function, and the lists [y1; y2; ...; yn] and
[z1; z2; ...; zn] to have the same lengths. Named as in: OCaml *)
val fold_left2 : f:('a -> 'b -> 'c -> Tot 'a) -> accu:'a -> l1:(list 'b) -> l2:(list 'c) ->
Pure 'a (requires (length l1 == length l2)) (ensures (fun _ -> True)) (decreases l1)
let rec fold_left2 f accu l1 l2 =
match (l1, l2) with
| ([], []) -> accu
| (a1::l1, a2::l2) -> fold_left2 f (f accu a1 a2) l1 l2
(** Propositional membership (as in Coq). Does not require decidable
equality. *)
(** [memP x l] holds if, and only if, [x] appears as an
element of [l]. Similar to: List.In in Coq. *)
let rec memP (#a: Type) (x: a) (l: list a) : Tot Type0 =
match l with
| [] -> False
| y :: q -> x == y \/ memP x q
(** List searching **)
(** [mem x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. Named as in: OCaml. See also:
List.In in Coq, which is propositional. *) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.List.Tot.Base.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"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 | x: a -> _: Prims.list a -> Prims.bool | Prims.Tot | [
"total"
] | [] | [
"Prims.eqtype",
"Prims.list",
"Prims.op_Equality",
"Prims.bool",
"FStar.List.Tot.Base.mem"
] | [
"recursion"
] | false | false | false | false | false | let rec mem #a x =
| function
| [] -> false
| hd :: tl -> if hd = x then true else mem x tl | false |
FStar.List.Tot.Base.fst | FStar.List.Tot.Base.filter | val filter : #a: Type -> f:(a -> Tot bool) -> l: list a -> Tot (m:list a{forall x. memP x m ==> f x}) | val filter : #a: Type -> f:(a -> Tot bool) -> l: list a -> Tot (m:list a{forall x. memP x m ==> f x}) | let rec filter #a f = function
| [] -> []
| hd::tl -> if f hd then hd::filter f tl else filter f tl | {
"file_name": "ulib/FStar.List.Tot.Base.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 59,
"end_line": 279,
"start_col": 0,
"start_line": 277
} | (*
Copyright 2008-2014 Nikhil Swamy and 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.
*)
(**
This module defines all pure and total operations on lists that can be
used in specifications. It is implemented by FStar_List_Tot_Base.ml, any
functional change and/or the addition of new functions MUST be reflected
there.
@summary Pure total operations on lists
*)
module FStar.List.Tot.Base
(**
Base operations
*)
(** [isEmpty l] returns [true] if and only if [l] is empty *)
val isEmpty: list 'a -> Tot bool
let isEmpty l = match l with
| [] -> true
| _ -> false
(** [hd l] returns the first element of [l]. Requires [l] to be
nonempty, at type-checking time. Named as in: OCaml, F#, Coq *)
val hd: l:list 'a{Cons? l} -> Tot 'a
let hd = function
| hd::_ -> hd
(** [tail l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Similar to: tl in OCaml, F#, Coq
*)
val tail: l:list 'a {Cons? l} -> Tot (list 'a)
let tail = function
| _::tl -> tl
(** [tl l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Named as in: OCaml, F#, Coq
*)
val tl: l:list 'a {Cons? l} -> Tot (list 'a)
let tl = tail
(** [last l] returns the last element of [l]. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val last: l:list 'a {Cons? l} -> Tot 'a
let rec last = function
| [hd] -> hd
| _::tl -> last tl
(** [init l] returns [l] without its last element. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val init: l:list 'a {Cons? l} -> Tot (list 'a)
let rec init = function
| [_] -> []
| hd::tl -> hd::(init tl)
(** [length l] returns the total number of elements in [l]. Named as
in: OCaml, F#, Coq *)
val length: list 'a -> Tot nat
let rec length = function
| [] -> 0
| _::tl -> 1 + length tl
(** [nth l n] returns the [n]-th element in list [l] (with the first
element being the 0-th) if [l] is long enough, or [None]
otherwise. Named as in: OCaml, F#, Coq *)
val nth: list 'a -> nat -> Tot (option 'a)
let rec nth l n = match l with
| [] -> None
| hd::tl -> if n = 0 then Some hd else nth tl (n - 1)
(** [index l n] returns the [n]-th element in list [l] (with the first
element being the 0-th). Requires, at type-checking time, that [l] be
of length at least [n+1]. *)
val index: #a:Type -> l:list a -> i:nat{i < length l} -> Tot a
let rec index #a (l: list a) (i:nat{i < length l}): Tot a =
if i = 0 then
hd l
else
index (tl l) (i - 1)
(** [count x l] returns the number of occurrences of [x] in
[l]. Requires, at type-checking time, the type of [a] to have equality
defined. Similar to: [List.count_occ] in Coq. *)
val count: #a:eqtype -> a -> list a -> Tot nat
let rec count #a x = function
| [] -> 0
| hd::tl -> if x=hd then 1 + count x tl else count x tl
(** [rev_acc l1 l2] appends the elements of [l1] to the beginning of
[l2], in reverse order. It is equivalent to [append (rev l1) l2], but
is tail-recursive. Similar to: [List.rev_append] in OCaml, Coq. *)
val rev_acc: list 'a -> list 'a -> Tot (list 'a)
let rec rev_acc l acc = match l with
| [] -> acc
| hd::tl -> rev_acc tl (hd::acc)
(** [rev l] returns the list [l] in reverse order. Named as in: OCaml,
F#, Coq. *)
val rev: list 'a -> Tot (list 'a)
let rev l = rev_acc l []
(** [append l1 l2] appends the elements of [l2] to the end of [l1]. Named as: OCaml, F#. Similar to: [List.app] in Coq. *)
val append: list 'a -> list 'a -> Tot (list 'a)
let rec append x y = match x with
| [] -> y
| a::tl -> a::append tl y
(** Defines notation [@@] for [append], as in OCaml, F# . *)
let op_At x y = append x y
(** [snoc (l, x)] adds [x] to the end of the list [l].
Note: We use an uncurried [snoc (l, x)] instead of the curried
[snoc l x]. This is intentional. If [snoc] takes a pair instead
of 2 arguments, it allows for a better pattern on
[lemma_unsnoc_snoc], which connects [snoc] and [unsnoc]. In
particular, if we had two arguments, then either the pattern would
either be too restrictive or would lead to over-triggering. More
context for this can be seen in the (collapsed and uncollapsed)
comments at https://github.com/FStarLang/FStar/pull/1560 *)
val snoc: (list 'a * 'a) -> Tot (list 'a)
let snoc (l, x) = append l [x]
(** [flatten l], where [l] is a list of lists, returns the list of the
elements of the lists in [l], preserving their order. Named as in:
OCaml, Coq. *)
val flatten: list (list 'a) -> Tot (list 'a)
let rec flatten l = match l with
| [] -> []
| hd::tl -> append hd (flatten tl)
(** [map f l] applies [f] to each element of [l] and returns the list
of results, in the order of the original elements in [l]. Requires, at
type-checking time, [f] to be a pure total function. Named as in: OCaml, Coq, F# *)
val map: ('a -> Tot 'b) -> list 'a -> Tot (list 'b)
let rec map f x = match x with
| [] -> []
| a::tl -> f a::map f tl
(** [mapi_init f l n] applies, for each [k], [f (n+k)] to the [k]-th
element of [l] and returns the list of results, in the order of the
original elements in [l]. Requires, at type-checking time, [f] to be a
pure total function. *)
val mapi_init: (int -> 'a -> Tot 'b) -> list 'a -> int -> Tot (list 'b)
let rec mapi_init f l i = match l with
| [] -> []
| hd::tl -> (f i hd)::(mapi_init f tl (i+1))
(** [mapi f l] applies, for each [k], [f k] to the [k]-th element of
[l] and returns the list of results, in the order of the original
elements in [l]. Requires, at type-checking time, [f] to be a pure
total function. Named as in: OCaml *)
val mapi: (int -> 'a -> Tot 'b) -> list 'a -> Tot (list 'b)
let mapi f l = mapi_init f l 0
(** [concatMap f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. This is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. *)
val concatMap: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec concatMap f = function
| [] -> []
| a::tl ->
let fa = f a in
let ftl = concatMap f tl in
append fa ftl
(** [fold_left f x [y1; y2; ...; yn]] computes (f (... (f x y1) y2)
... yn). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq. *)
val fold_left: ('a -> 'b -> Tot 'a) -> 'a -> l:list 'b -> Tot 'a (decreases l)
let rec fold_left f x l = match l with
| [] -> x
| hd::tl -> fold_left f (f x hd) tl
(** [fold_right f [x1; x2; ...; xn] y] computes (f x1 (f x2 (... (f xn
y)) ... )). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq *)
val fold_right: ('a -> 'b -> Tot 'b) -> list 'a -> 'b -> Tot 'b
let rec fold_right f l x = match l with
| [] -> x
| hd::tl -> f hd (fold_right f tl x)
(** [fold_right_gtot] is just like [fold_right], except `f` is
a ghost function **)
let rec fold_right_gtot (#a:Type) (#b:Type) (l:list a) (f:a -> b -> GTot b) (x:b)
: GTot b
= match l with
| [] -> x
| hd::tl -> f hd (fold_right_gtot tl f x)
(* We define map in terms of fold, to share simple lemmas *)
let map_gtot #a #b (f:a -> GTot b) (x:list a)
: GTot (list b)
= fold_right_gtot x (fun x tl -> f x :: tl) []
(** [fold_left2 f x [y1; y2; ...; yn] [z1; z2; ...; zn]] computes (f
(... (f x y1 z1) y2 z2) ... yn zn). Requires, at type-checking time,
[f] to be a pure total function, and the lists [y1; y2; ...; yn] and
[z1; z2; ...; zn] to have the same lengths. Named as in: OCaml *)
val fold_left2 : f:('a -> 'b -> 'c -> Tot 'a) -> accu:'a -> l1:(list 'b) -> l2:(list 'c) ->
Pure 'a (requires (length l1 == length l2)) (ensures (fun _ -> True)) (decreases l1)
let rec fold_left2 f accu l1 l2 =
match (l1, l2) with
| ([], []) -> accu
| (a1::l1, a2::l2) -> fold_left2 f (f accu a1 a2) l1 l2
(** Propositional membership (as in Coq). Does not require decidable
equality. *)
(** [memP x l] holds if, and only if, [x] appears as an
element of [l]. Similar to: List.In in Coq. *)
let rec memP (#a: Type) (x: a) (l: list a) : Tot Type0 =
match l with
| [] -> False
| y :: q -> x == y \/ memP x q
(** List searching **)
(** [mem x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. Named as in: OCaml. See also:
List.In in Coq, which is propositional. *)
val mem: #a:eqtype -> a -> list a -> Tot bool
let rec mem #a x = function
| [] -> false
| hd::tl -> if hd = x then true else mem x tl
(** [contains x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. It is equivalent to: [mem x
l]. TODO: should we rather swap the order of arguments? *)
let contains : #a:eqtype -> a -> list a -> Tot bool = mem
(** [existsb f l] returns [true] if, and only if, there exists some
element [x] in [l] such that [f x] holds. *)
val existsb: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot bool
let rec existsb #a f l = match l with
| [] -> false
| hd::tl -> if f hd then true else existsb f tl
(** [find f l] returns [Some x] for some element [x] appearing in [l]
such that [f x] holds, or [None] only if no such [x] exists. *)
val find: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot (option (x:a{f x}))
let rec find #a f l = match l with
| [] -> None #(x:a{f x}) //These type annotations are only present because it makes bootstrapping go much faster
| hd::tl -> if f hd then Some #(x:a{f x}) hd else find f tl
(** Filtering elements of a list [l] through a Boolean pure total
predicate [f] *)
(** [filter f l] returns [l] with all elements [x] such that [f x]
does not hold removed. Requires, at type-checking time, [f] to be a
pure total function. Named as in: OCaml, Coq *) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.List.Tot.Base.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"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 | f: (_: a -> Prims.bool) -> l: Prims.list a
-> m: Prims.list a {forall (x: a). FStar.List.Tot.Base.memP x m ==> f x} | Prims.Tot | [
"total"
] | [] | [
"Prims.bool",
"Prims.list",
"Prims.Nil",
"Prims.Cons",
"FStar.List.Tot.Base.filter",
"Prims.l_Forall",
"Prims.l_imp",
"FStar.List.Tot.Base.memP",
"Prims.b2t"
] | [
"recursion"
] | false | false | false | false | false | let rec filter #a f =
| function
| [] -> []
| hd :: tl -> if f hd then hd :: filter f tl else filter f tl | false |
Vale.X64.InsAes.fst | Vale.X64.InsAes.va_codegen_success_AESNI_keygen_assist | val va_codegen_success_AESNI_keygen_assist : dst:va_operand_xmm -> src:va_operand_xmm -> imm:nat8
-> Tot va_pbool | val va_codegen_success_AESNI_keygen_assist : dst:va_operand_xmm -> src:va_operand_xmm -> imm:nat8
-> Tot va_pbool | let va_codegen_success_AESNI_keygen_assist dst src imm =
(va_ttrue ()) | {
"file_name": "obj/Vale.X64.InsAes.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 15,
"end_line": 409,
"start_col": 0,
"start_line": 408
} | module Vale.X64.InsAes
open Vale.Def.Types_s
open Vale.X64.Machine_s
open Vale.X64
open Vale.X64.State
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.Decls
open Vale.X64.CPU_Features_s
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
module P = Vale.X64.Print_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 4 --max_fuel 4 --z3rlimit 20"
//-- Pclmulqdq
[@ "opaque_to_smt"]
let va_code_Pclmulqdq dst src dstHi srcHi =
(mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16 else 0)))
(OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_Pclmulqdq dst src dstHi srcHi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Pclmulqdq va_b0 va_s0 dst src dstHi srcHi =
va_reveal_opaque (`%va_code_Pclmulqdq) (va_code_Pclmulqdq dst src dstHi srcHi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16
else 0))) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) +
(if srcHi then 16 else 0))) (OReg dst) (OReg src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Pclmulqdq dst src dstHi srcHi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Pclmulqdq (va_code_Pclmulqdq dst src dstHi srcHi) va_s0 dst src
dstHi srcHi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VPclmulqdq
[@ "opaque_to_smt"]
let va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then 16 else 0)))
(OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VPclmulqdq va_b0 va_s0 dst src1 src2 src1Hi src2Hi =
va_reveal_opaque (`%va_code_VPclmulqdq) (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then
16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0)
+ (if src2Hi then 16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VPclmulqdq dst src1 src2 src1Hi src2Hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VPclmulqdq (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi) va_s0
dst src1 src2 src1Hi src2Hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc
[@ "opaque_to_smt"]
let va_code_AESNI_enc dst src =
(mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc) (va_code_AESNI_enc dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc (va_code_AESNI_enc dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc
[@ "opaque_to_smt"]
let va_code_VAESNI_enc dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc) (va_code_VAESNI_enc dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1)
(OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc (va_code_VAESNI_enc dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc_last
[@ "opaque_to_smt"]
let va_code_AESNI_enc_last dst src =
(mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc_last dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc_last va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc_last) (va_code_AESNI_enc_last dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg
src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc_last dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc_last (va_code_AESNI_enc_last dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc_last
[@ "opaque_to_smt"]
let va_code_VAESNI_enc_last dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc_last dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc_last va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc_last) (va_code_VAESNI_enc_last dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2)))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg
src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc_last dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc_last (va_code_VAESNI_enc_last dst src1 src2) va_s0 dst
src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_dec
val va_code_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code
[@ "opaque_to_smt"]
let va_code_AESNI_dec dst src =
(mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src)))
val va_codegen_success_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_dec dst src =
(va_ttrue ())
val va_lemma_AESNI_dec : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm -> src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_dec dst src) va_s0 /\ va_is_dst_xmm dst va_s0 /\
va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_s.inv_mix_columns_LE
(Vale.AES.AES_common_s.inv_sub_bytes (Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0
dst)))) (va_eval_xmm va_s0 src) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM
(va_update_operand_xmm dst va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_AESNI_dec va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_dec) (va_code_AESNI_dec dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_dec (dst:va_operand_xmm) (src:va_operand_xmm) (va_s0:va_state) (va_k:(va_state ->
unit -> Type0)) : Type0 =
(va_is_dst_xmm dst va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled /\
(forall (va_x_dst:va_value_xmm) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl
(va_upd_operand_xmm dst va_x_dst va_s0) in va_get_ok va_sM /\ va_eval_xmm va_sM dst ==
Vale.Def.Types_s.quad32_xor (Vale.AES.AES_s.inv_mix_columns_LE
(Vale.AES.AES_common_s.inv_sub_bytes (Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0
dst)))) (va_eval_xmm va_s0 src) ==> va_k va_sM (())))
val va_wpProof_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_dec dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_dec dst src) ([va_Mod_flags;
va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_dec dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_dec (va_code_AESNI_dec dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AESNI_dec (dst:va_operand_xmm) (src:va_operand_xmm) : (va_quickCode unit
(va_code_AESNI_dec dst src)) =
(va_QProc (va_code_AESNI_dec dst src) ([va_Mod_flags; va_mod_xmm dst]) (va_wp_AESNI_dec dst src)
(va_wpProof_AESNI_dec dst src))
//--
//-- AESNI_dec_last
val va_code_AESNI_dec_last : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code
[@ "opaque_to_smt"]
let va_code_AESNI_dec_last dst src =
(mk_ins (make_instr (I.ins_AESNI_dec_last) (OReg dst) (OReg src)))
val va_codegen_success_AESNI_dec_last : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_dec_last dst src =
(va_ttrue ())
val va_lemma_AESNI_dec_last : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm ->
src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_dec_last dst src) va_s0 /\ va_is_dst_xmm dst
va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_common_s.inv_sub_bytes
(Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0 dst))) (va_eval_xmm va_s0 src) /\
va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM
va_s0)))))
[@"opaque_to_smt"]
let va_lemma_AESNI_dec_last va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_dec_last) (va_code_AESNI_dec_last dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_dec_last) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_dec_last) (OReg dst) (OReg
src))) va_s0 in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_dec_last (dst:va_operand_xmm) (src:va_operand_xmm) (va_s0:va_state) (va_k:(va_state
-> unit -> Type0)) : Type0 =
(va_is_dst_xmm dst va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled /\
(forall (va_x_dst:va_value_xmm) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl
(va_upd_operand_xmm dst va_x_dst va_s0) in va_get_ok va_sM /\ va_eval_xmm va_sM dst ==
Vale.Def.Types_s.quad32_xor (Vale.AES.AES_common_s.inv_sub_bytes
(Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0 dst))) (va_eval_xmm va_s0 src) ==> va_k
va_sM (())))
val va_wpProof_AESNI_dec_last : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_dec_last dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_dec_last dst src)
([va_Mod_flags; va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_dec_last dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_dec_last (va_code_AESNI_dec_last dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AESNI_dec_last (dst:va_operand_xmm) (src:va_operand_xmm) : (va_quickCode unit
(va_code_AESNI_dec_last dst src)) =
(va_QProc (va_code_AESNI_dec_last dst src) ([va_Mod_flags; va_mod_xmm dst]) (va_wp_AESNI_dec_last
dst src) (va_wpProof_AESNI_dec_last dst src))
//--
//-- AESNI_imc
val va_code_AESNI_imc : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code
[@ "opaque_to_smt"]
let va_code_AESNI_imc dst src =
(mk_ins (make_instr (I.ins_AESNI_imc) (OReg dst) (OReg src)))
val va_codegen_success_AESNI_imc : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_imc dst src =
(va_ttrue ())
val va_lemma_AESNI_imc : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm -> src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_imc dst src) va_s0 /\ va_is_dst_xmm dst va_s0 /\
va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.AES.AES_s.inv_mix_columns_LE (va_eval_xmm va_s0 src) /\
va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM
va_s0)))))
[@"opaque_to_smt"]
let va_lemma_AESNI_imc va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_imc) (va_code_AESNI_imc dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_imc) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_imc) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_imc (dst:va_operand_xmm) (src:va_operand_xmm) (va_s0:va_state) (va_k:(va_state ->
unit -> Type0)) : Type0 =
(va_is_dst_xmm dst va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled /\
(forall (va_x_dst:va_value_xmm) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl
(va_upd_operand_xmm dst va_x_dst va_s0) in va_get_ok va_sM /\ va_eval_xmm va_sM dst ==
Vale.AES.AES_s.inv_mix_columns_LE (va_eval_xmm va_s0 src) ==> va_k va_sM (())))
val va_wpProof_AESNI_imc : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_imc dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_imc dst src) ([va_Mod_flags;
va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_imc dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_imc (va_code_AESNI_imc dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AESNI_imc (dst:va_operand_xmm) (src:va_operand_xmm) : (va_quickCode unit
(va_code_AESNI_imc dst src)) =
(va_QProc (va_code_AESNI_imc dst src) ([va_Mod_flags; va_mod_xmm dst]) (va_wp_AESNI_imc dst src)
(va_wpProof_AESNI_imc dst src))
//--
//-- AESNI_keygen_assist
[@ "opaque_to_smt"]
let va_code_AESNI_keygen_assist dst src imm =
(mk_ins (make_instr (I.ins_AESNI_keygen_assist imm) (OReg dst) (OReg src))) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.State.fsti.checked",
"Vale.X64.Print_s.fst.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.AES.AES_s.fst.checked",
"Vale.AES.AES_common_s.fst.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsAes.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Print_s",
"short_module": "P"
},
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"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.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"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": 4,
"initial_ifuel": 0,
"max_fuel": 4,
"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 |
dst: Vale.X64.Decls.va_operand_xmm ->
src: Vale.X64.Decls.va_operand_xmm ->
imm: Vale.Def.Types_s.nat8
-> Vale.X64.Decls.va_pbool | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.Decls.va_operand_xmm",
"Vale.Def.Types_s.nat8",
"Vale.X64.Decls.va_ttrue",
"Vale.X64.Decls.va_pbool"
] | [] | false | false | false | true | false | let va_codegen_success_AESNI_keygen_assist dst src imm =
| (va_ttrue ()) | false |
FStar.List.Tot.Base.fst | FStar.List.Tot.Base.bool_of_compare | val bool_of_compare : #a:Type -> (a -> a -> Tot int) -> a -> a -> Tot bool | val bool_of_compare : #a:Type -> (a -> a -> Tot int) -> a -> a -> Tot bool | let bool_of_compare #a f x y = f x y < 0 | {
"file_name": "ulib/FStar.List.Tot.Base.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 40,
"end_line": 499,
"start_col": 0,
"start_line": 499
} | (*
Copyright 2008-2014 Nikhil Swamy and 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.
*)
(**
This module defines all pure and total operations on lists that can be
used in specifications. It is implemented by FStar_List_Tot_Base.ml, any
functional change and/or the addition of new functions MUST be reflected
there.
@summary Pure total operations on lists
*)
module FStar.List.Tot.Base
(**
Base operations
*)
(** [isEmpty l] returns [true] if and only if [l] is empty *)
val isEmpty: list 'a -> Tot bool
let isEmpty l = match l with
| [] -> true
| _ -> false
(** [hd l] returns the first element of [l]. Requires [l] to be
nonempty, at type-checking time. Named as in: OCaml, F#, Coq *)
val hd: l:list 'a{Cons? l} -> Tot 'a
let hd = function
| hd::_ -> hd
(** [tail l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Similar to: tl in OCaml, F#, Coq
*)
val tail: l:list 'a {Cons? l} -> Tot (list 'a)
let tail = function
| _::tl -> tl
(** [tl l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Named as in: OCaml, F#, Coq
*)
val tl: l:list 'a {Cons? l} -> Tot (list 'a)
let tl = tail
(** [last l] returns the last element of [l]. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val last: l:list 'a {Cons? l} -> Tot 'a
let rec last = function
| [hd] -> hd
| _::tl -> last tl
(** [init l] returns [l] without its last element. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val init: l:list 'a {Cons? l} -> Tot (list 'a)
let rec init = function
| [_] -> []
| hd::tl -> hd::(init tl)
(** [length l] returns the total number of elements in [l]. Named as
in: OCaml, F#, Coq *)
val length: list 'a -> Tot nat
let rec length = function
| [] -> 0
| _::tl -> 1 + length tl
(** [nth l n] returns the [n]-th element in list [l] (with the first
element being the 0-th) if [l] is long enough, or [None]
otherwise. Named as in: OCaml, F#, Coq *)
val nth: list 'a -> nat -> Tot (option 'a)
let rec nth l n = match l with
| [] -> None
| hd::tl -> if n = 0 then Some hd else nth tl (n - 1)
(** [index l n] returns the [n]-th element in list [l] (with the first
element being the 0-th). Requires, at type-checking time, that [l] be
of length at least [n+1]. *)
val index: #a:Type -> l:list a -> i:nat{i < length l} -> Tot a
let rec index #a (l: list a) (i:nat{i < length l}): Tot a =
if i = 0 then
hd l
else
index (tl l) (i - 1)
(** [count x l] returns the number of occurrences of [x] in
[l]. Requires, at type-checking time, the type of [a] to have equality
defined. Similar to: [List.count_occ] in Coq. *)
val count: #a:eqtype -> a -> list a -> Tot nat
let rec count #a x = function
| [] -> 0
| hd::tl -> if x=hd then 1 + count x tl else count x tl
(** [rev_acc l1 l2] appends the elements of [l1] to the beginning of
[l2], in reverse order. It is equivalent to [append (rev l1) l2], but
is tail-recursive. Similar to: [List.rev_append] in OCaml, Coq. *)
val rev_acc: list 'a -> list 'a -> Tot (list 'a)
let rec rev_acc l acc = match l with
| [] -> acc
| hd::tl -> rev_acc tl (hd::acc)
(** [rev l] returns the list [l] in reverse order. Named as in: OCaml,
F#, Coq. *)
val rev: list 'a -> Tot (list 'a)
let rev l = rev_acc l []
(** [append l1 l2] appends the elements of [l2] to the end of [l1]. Named as: OCaml, F#. Similar to: [List.app] in Coq. *)
val append: list 'a -> list 'a -> Tot (list 'a)
let rec append x y = match x with
| [] -> y
| a::tl -> a::append tl y
(** Defines notation [@@] for [append], as in OCaml, F# . *)
let op_At x y = append x y
(** [snoc (l, x)] adds [x] to the end of the list [l].
Note: We use an uncurried [snoc (l, x)] instead of the curried
[snoc l x]. This is intentional. If [snoc] takes a pair instead
of 2 arguments, it allows for a better pattern on
[lemma_unsnoc_snoc], which connects [snoc] and [unsnoc]. In
particular, if we had two arguments, then either the pattern would
either be too restrictive or would lead to over-triggering. More
context for this can be seen in the (collapsed and uncollapsed)
comments at https://github.com/FStarLang/FStar/pull/1560 *)
val snoc: (list 'a * 'a) -> Tot (list 'a)
let snoc (l, x) = append l [x]
(** [flatten l], where [l] is a list of lists, returns the list of the
elements of the lists in [l], preserving their order. Named as in:
OCaml, Coq. *)
val flatten: list (list 'a) -> Tot (list 'a)
let rec flatten l = match l with
| [] -> []
| hd::tl -> append hd (flatten tl)
(** [map f l] applies [f] to each element of [l] and returns the list
of results, in the order of the original elements in [l]. Requires, at
type-checking time, [f] to be a pure total function. Named as in: OCaml, Coq, F# *)
val map: ('a -> Tot 'b) -> list 'a -> Tot (list 'b)
let rec map f x = match x with
| [] -> []
| a::tl -> f a::map f tl
(** [mapi_init f l n] applies, for each [k], [f (n+k)] to the [k]-th
element of [l] and returns the list of results, in the order of the
original elements in [l]. Requires, at type-checking time, [f] to be a
pure total function. *)
val mapi_init: (int -> 'a -> Tot 'b) -> list 'a -> int -> Tot (list 'b)
let rec mapi_init f l i = match l with
| [] -> []
| hd::tl -> (f i hd)::(mapi_init f tl (i+1))
(** [mapi f l] applies, for each [k], [f k] to the [k]-th element of
[l] and returns the list of results, in the order of the original
elements in [l]. Requires, at type-checking time, [f] to be a pure
total function. Named as in: OCaml *)
val mapi: (int -> 'a -> Tot 'b) -> list 'a -> Tot (list 'b)
let mapi f l = mapi_init f l 0
(** [concatMap f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. This is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. *)
val concatMap: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec concatMap f = function
| [] -> []
| a::tl ->
let fa = f a in
let ftl = concatMap f tl in
append fa ftl
(** [fold_left f x [y1; y2; ...; yn]] computes (f (... (f x y1) y2)
... yn). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq. *)
val fold_left: ('a -> 'b -> Tot 'a) -> 'a -> l:list 'b -> Tot 'a (decreases l)
let rec fold_left f x l = match l with
| [] -> x
| hd::tl -> fold_left f (f x hd) tl
(** [fold_right f [x1; x2; ...; xn] y] computes (f x1 (f x2 (... (f xn
y)) ... )). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq *)
val fold_right: ('a -> 'b -> Tot 'b) -> list 'a -> 'b -> Tot 'b
let rec fold_right f l x = match l with
| [] -> x
| hd::tl -> f hd (fold_right f tl x)
(** [fold_right_gtot] is just like [fold_right], except `f` is
a ghost function **)
let rec fold_right_gtot (#a:Type) (#b:Type) (l:list a) (f:a -> b -> GTot b) (x:b)
: GTot b
= match l with
| [] -> x
| hd::tl -> f hd (fold_right_gtot tl f x)
(* We define map in terms of fold, to share simple lemmas *)
let map_gtot #a #b (f:a -> GTot b) (x:list a)
: GTot (list b)
= fold_right_gtot x (fun x tl -> f x :: tl) []
(** [fold_left2 f x [y1; y2; ...; yn] [z1; z2; ...; zn]] computes (f
(... (f x y1 z1) y2 z2) ... yn zn). Requires, at type-checking time,
[f] to be a pure total function, and the lists [y1; y2; ...; yn] and
[z1; z2; ...; zn] to have the same lengths. Named as in: OCaml *)
val fold_left2 : f:('a -> 'b -> 'c -> Tot 'a) -> accu:'a -> l1:(list 'b) -> l2:(list 'c) ->
Pure 'a (requires (length l1 == length l2)) (ensures (fun _ -> True)) (decreases l1)
let rec fold_left2 f accu l1 l2 =
match (l1, l2) with
| ([], []) -> accu
| (a1::l1, a2::l2) -> fold_left2 f (f accu a1 a2) l1 l2
(** Propositional membership (as in Coq). Does not require decidable
equality. *)
(** [memP x l] holds if, and only if, [x] appears as an
element of [l]. Similar to: List.In in Coq. *)
let rec memP (#a: Type) (x: a) (l: list a) : Tot Type0 =
match l with
| [] -> False
| y :: q -> x == y \/ memP x q
(** List searching **)
(** [mem x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. Named as in: OCaml. See also:
List.In in Coq, which is propositional. *)
val mem: #a:eqtype -> a -> list a -> Tot bool
let rec mem #a x = function
| [] -> false
| hd::tl -> if hd = x then true else mem x tl
(** [contains x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. It is equivalent to: [mem x
l]. TODO: should we rather swap the order of arguments? *)
let contains : #a:eqtype -> a -> list a -> Tot bool = mem
(** [existsb f l] returns [true] if, and only if, there exists some
element [x] in [l] such that [f x] holds. *)
val existsb: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot bool
let rec existsb #a f l = match l with
| [] -> false
| hd::tl -> if f hd then true else existsb f tl
(** [find f l] returns [Some x] for some element [x] appearing in [l]
such that [f x] holds, or [None] only if no such [x] exists. *)
val find: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot (option (x:a{f x}))
let rec find #a f l = match l with
| [] -> None #(x:a{f x}) //These type annotations are only present because it makes bootstrapping go much faster
| hd::tl -> if f hd then Some #(x:a{f x}) hd else find f tl
(** Filtering elements of a list [l] through a Boolean pure total
predicate [f] *)
(** [filter f l] returns [l] with all elements [x] such that [f x]
does not hold removed. Requires, at type-checking time, [f] to be a
pure total function. Named as in: OCaml, Coq *)
val filter : #a: Type -> f:(a -> Tot bool) -> l: list a -> Tot (m:list a{forall x. memP x m ==> f x})
let rec filter #a f = function
| [] -> []
| hd::tl -> if f hd then hd::filter f tl else filter f tl
(** Postcondition on [filter f l]: for any element [x] of [filter f l],
[f x] holds. Requires, at type-checking time, [f] to be a pure total
function.*)
val mem_filter (#a:Type) (f: (a -> Tot bool)) (l: list a) (x: a) : Lemma
(requires (memP x (filter f l)))
(ensures (f x))
let mem_filter f l x = ()
(** Postcondition on [filter f l]: stated with [forall]: for any element
[x] of [filter f l], [f x] holds. Requires, at type-checking time, [f]
to be a pure total function. *)
val mem_filter_forall (#a:Type) (f: (a -> Tot bool)) (l: list a) : Lemma
(requires True)
(ensures (forall x . memP x (filter f l) ==> f x))
[SMTPat (filter f l)]
let mem_filter_forall f l = FStar.Classical.ghost_lemma (mem_filter f l)
(** [for_all f l] returns [true] if, and only if, for all elements [x]
appearing in [l], [f x] holds. Requires, at type-checking time, [f] to
be a pure total function. Named as in: OCaml. Similar to: List.forallb
in Coq *)
val for_all: ('a -> Tot bool) -> list 'a -> Tot bool
let rec for_all f l = match l with
| [] -> true
| hd::tl -> if f hd then for_all f tl else false
(** Specification for [for_all f l] vs. mem *)
let rec for_all_mem
(#a: Type)
(f: (a -> Tot bool))
(l: list a)
: Lemma
(for_all f l <==> (forall x . memP x l ==> f x))
= match l with
| [] -> ()
| _ :: q -> for_all_mem f q
(** [collect f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. It is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. TODO: what is
the difference with [concatMap]? *)
val collect: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec collect f l = match l with
| [] -> []
| hd::tl -> append (f hd) (collect f tl)
(** [tryFind f l] returns [Some x] for some element [x] appearing in
[l] such that [f x] holds, or [None] only if no such [x]
exists. Requires, at type-checking time, [f] to be a pure total
function. Contrary to [find], [tryFind] provides no postcondition on
its result. *)
val tryFind: ('a -> Tot bool) -> list 'a -> Tot (option 'a)
let rec tryFind p l = match l with
| [] -> None
| hd::tl -> if p hd then Some hd else tryFind p tl
(** [tryPick f l] returns [y] for some element [x] appearing in [l]
such that [f x = Some y] for some y, or [None] only if [f x = None]
for all elements [x] of [l]. Requires, at type-checking time, [f] to
be a pure total function. *)
val tryPick: ('a -> Tot (option 'b)) -> list 'a -> Tot (option 'b)
let rec tryPick f l = match l with
| [] -> None
| hd::tl ->
match f hd with
| Some x -> Some x
| None -> tryPick f tl
(** [choose f l] returns the list of [y] for all elements [x]
appearing in [l] such that [f x = Some y] for some [y]. Requires, at
type-checking time, [f] to be a pure total function. *)
val choose: ('a -> Tot (option 'b)) -> list 'a -> Tot (list 'b)
let rec choose f l = match l with
| [] -> []
| hd::tl ->
match f hd with
| Some x -> x::(choose f tl)
| None -> choose f tl
(** [partition f l] returns the pair of lists [(l1, l2)] where all
elements [x] of [l] are in [l1] if [f x] holds, and in [l2]
otherwise. Both [l1] and [l2] retain the original order of
[l]. Requires, at type-checking time, [f] to be a pure total
function. *)
val partition: f:('a -> Tot bool) -> list 'a -> Tot (list 'a * list 'a)
let rec partition f = function
| [] -> [], []
| hd::tl ->
let l1, l2 = partition f tl in
if f hd
then hd::l1, l2
else l1, hd::l2
(** [subset la lb] is true if and only if all the elements from [la]
are also in [lb]. Requires, at type-checking time, the type of
elements of [la] and [lb] to have decidable equality. *)
val subset: #a:eqtype -> list a -> list a -> Tot bool
let rec subset #a la lb =
match la with
| [] -> true
| h :: tl -> mem h lb && subset tl lb
(** [noRepeats l] returns [true] if, and only if, no element of [l]
appears in [l] more than once. Requires, at type-checking time, the
type of elements of [la] and [lb] to have decidable equality. *)
val noRepeats : #a:eqtype -> list a -> Tot bool
let rec noRepeats #a la =
match la with
| [] -> true
| h :: tl -> not(mem h tl) && noRepeats tl
(** [no_repeats_p l] valid if, and only if, no element of [l]
appears in [l] more than once. *)
val no_repeats_p : #a:Type -> list a -> Tot prop
let rec no_repeats_p #a la =
match la with
| [] -> True
| h :: tl -> ~(memP h tl) /\ no_repeats_p tl
(** List of tuples **)
(** [assoc x l] returns [Some y] where [(x, y)] is the first element
of [l] whose first element is [x], or [None] only if no such element
exists. Requires, at type-checking time, the type of [x] to have
decidable equality. Named as in: OCaml. *)
val assoc: #a:eqtype -> #b:Type -> a -> list (a * b) -> Tot (option b)
let rec assoc #a #b x = function
| [] -> None
| (x', y)::tl -> if x=x' then Some y else assoc x tl
(** [split] takes a list of pairs [(x1, y1), ..., (xn, yn)] and
returns the pair of lists ([x1, ..., xn], [y1, ..., yn]). Named as in:
OCaml *)
val split: list ('a * 'b) -> Tot (list 'a * list 'b)
let rec split l = match l with
| [] -> ([],[])
| (hd1,hd2)::tl ->
let (tl1,tl2) = split tl in
(hd1::tl1,hd2::tl2)
(** [unzip] takes a list of pairs [(x1, y1), ..., (xn, yn)] and
returns the pair of lists ([x1, ..., xn], [y1, ..., yn]). Named as in:
Haskell *)
let unzip l = split l
(** [unzip3] takes a list of triples [(x1, y1, z1), ..., (xn, yn, zn)]
and returns the triple of lists ([x1, ..., xn], [y1, ..., yn], [z1,
..., zn]). Named as in: Haskell *)
val unzip3: list ('a * 'b * 'c) -> Tot (list 'a * list 'b * list 'c)
let rec unzip3 l = match l with
| [] -> ([],[],[])
| (hd1,hd2,hd3)::tl ->
let (tl1,tl2,tl3) = unzip3 tl in
(hd1::tl1,hd2::tl2,hd3::tl3)
(** Splitting a list at some index **)
(** [splitAt] takes a natural number n and a list and returns a pair
of the maximal prefix of l of size smaller than n and the rest of
the list *)
let rec splitAt (#a:Type) (n:nat) (l:list a) : Tot (list a * list a) =
if n = 0 then [], l
else
match l with
| [] -> [], l
| x :: xs -> let l1, l2 = splitAt (n-1) xs in x :: l1, l2
let rec lemma_splitAt_snd_length (#a:Type) (n:nat) (l:list a) :
Lemma
(requires (n <= length l))
(ensures (length (snd (splitAt n l)) = length l - n)) =
match n, l with
| 0, _ -> ()
| _, [] -> ()
| _, _ :: l' -> lemma_splitAt_snd_length (n - 1) l'
(** [unsnoc] is an inverse of [snoc]. It splits a list into
all-elements-except-last and last element. *)
val unsnoc: #a:Type -> l:list a{length l > 0} -> Tot (list a * a)
let unsnoc #a l =
let l1, l2 = splitAt (length l - 1) l in
lemma_splitAt_snd_length (length l - 1) l;
l1, hd l2
(** [split3] splits a list into 3 parts. This allows easy access to
the part of the list before and after the element, as well as the
element itself. *)
val split3: #a:Type -> l:list a -> i:nat{i < length l} -> Tot (list a * a * list a)
let split3 #a l i =
let a, rest = splitAt i l in
lemma_splitAt_snd_length i l;
let b :: c = rest in
a, b, c
(** Sorting (implemented as quicksort) **)
(** [partition] splits a list [l] into two lists, the sum of whose
lengths is the length of [l]. *)
val partition_length: f:('a -> Tot bool)
-> l:list 'a
-> Lemma (requires True)
(ensures (length (fst (partition f l))
+ length (snd (partition f l)) = length l))
let rec partition_length f l = match l with
| [] -> ()
| hd::tl -> partition_length f tl
(** [bool_of_compare] turns a comparison function into a strict
order. More precisely, [bool_of_compare compare x y] returns true
if, and only if, [compare x y] is negative, meaning [x] precedes
[y] in the ordering defined by compare.
This is used in sorting, and is defined to be consistent with
OCaml and F#, where sorting is performed in ascending order.
*) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.List.Tot.Base.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"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 | f: (_: a -> _: a -> Prims.int) -> x: a -> y: a -> Prims.bool | Prims.Tot | [
"total"
] | [] | [
"Prims.int",
"Prims.op_LessThan",
"Prims.bool"
] | [] | false | false | false | true | false | let bool_of_compare #a f x y =
| f x y < 0 | false |
FStar.List.Tot.Base.fst | FStar.List.Tot.Base.collect | val collect: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b) | val collect: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b) | let rec collect f l = match l with
| [] -> []
| hd::tl -> append (f hd) (collect f tl) | {
"file_name": "ulib/FStar.List.Tot.Base.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 44,
"end_line": 326,
"start_col": 0,
"start_line": 324
} | (*
Copyright 2008-2014 Nikhil Swamy and 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.
*)
(**
This module defines all pure and total operations on lists that can be
used in specifications. It is implemented by FStar_List_Tot_Base.ml, any
functional change and/or the addition of new functions MUST be reflected
there.
@summary Pure total operations on lists
*)
module FStar.List.Tot.Base
(**
Base operations
*)
(** [isEmpty l] returns [true] if and only if [l] is empty *)
val isEmpty: list 'a -> Tot bool
let isEmpty l = match l with
| [] -> true
| _ -> false
(** [hd l] returns the first element of [l]. Requires [l] to be
nonempty, at type-checking time. Named as in: OCaml, F#, Coq *)
val hd: l:list 'a{Cons? l} -> Tot 'a
let hd = function
| hd::_ -> hd
(** [tail l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Similar to: tl in OCaml, F#, Coq
*)
val tail: l:list 'a {Cons? l} -> Tot (list 'a)
let tail = function
| _::tl -> tl
(** [tl l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Named as in: OCaml, F#, Coq
*)
val tl: l:list 'a {Cons? l} -> Tot (list 'a)
let tl = tail
(** [last l] returns the last element of [l]. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val last: l:list 'a {Cons? l} -> Tot 'a
let rec last = function
| [hd] -> hd
| _::tl -> last tl
(** [init l] returns [l] without its last element. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val init: l:list 'a {Cons? l} -> Tot (list 'a)
let rec init = function
| [_] -> []
| hd::tl -> hd::(init tl)
(** [length l] returns the total number of elements in [l]. Named as
in: OCaml, F#, Coq *)
val length: list 'a -> Tot nat
let rec length = function
| [] -> 0
| _::tl -> 1 + length tl
(** [nth l n] returns the [n]-th element in list [l] (with the first
element being the 0-th) if [l] is long enough, or [None]
otherwise. Named as in: OCaml, F#, Coq *)
val nth: list 'a -> nat -> Tot (option 'a)
let rec nth l n = match l with
| [] -> None
| hd::tl -> if n = 0 then Some hd else nth tl (n - 1)
(** [index l n] returns the [n]-th element in list [l] (with the first
element being the 0-th). Requires, at type-checking time, that [l] be
of length at least [n+1]. *)
val index: #a:Type -> l:list a -> i:nat{i < length l} -> Tot a
let rec index #a (l: list a) (i:nat{i < length l}): Tot a =
if i = 0 then
hd l
else
index (tl l) (i - 1)
(** [count x l] returns the number of occurrences of [x] in
[l]. Requires, at type-checking time, the type of [a] to have equality
defined. Similar to: [List.count_occ] in Coq. *)
val count: #a:eqtype -> a -> list a -> Tot nat
let rec count #a x = function
| [] -> 0
| hd::tl -> if x=hd then 1 + count x tl else count x tl
(** [rev_acc l1 l2] appends the elements of [l1] to the beginning of
[l2], in reverse order. It is equivalent to [append (rev l1) l2], but
is tail-recursive. Similar to: [List.rev_append] in OCaml, Coq. *)
val rev_acc: list 'a -> list 'a -> Tot (list 'a)
let rec rev_acc l acc = match l with
| [] -> acc
| hd::tl -> rev_acc tl (hd::acc)
(** [rev l] returns the list [l] in reverse order. Named as in: OCaml,
F#, Coq. *)
val rev: list 'a -> Tot (list 'a)
let rev l = rev_acc l []
(** [append l1 l2] appends the elements of [l2] to the end of [l1]. Named as: OCaml, F#. Similar to: [List.app] in Coq. *)
val append: list 'a -> list 'a -> Tot (list 'a)
let rec append x y = match x with
| [] -> y
| a::tl -> a::append tl y
(** Defines notation [@@] for [append], as in OCaml, F# . *)
let op_At x y = append x y
(** [snoc (l, x)] adds [x] to the end of the list [l].
Note: We use an uncurried [snoc (l, x)] instead of the curried
[snoc l x]. This is intentional. If [snoc] takes a pair instead
of 2 arguments, it allows for a better pattern on
[lemma_unsnoc_snoc], which connects [snoc] and [unsnoc]. In
particular, if we had two arguments, then either the pattern would
either be too restrictive or would lead to over-triggering. More
context for this can be seen in the (collapsed and uncollapsed)
comments at https://github.com/FStarLang/FStar/pull/1560 *)
val snoc: (list 'a * 'a) -> Tot (list 'a)
let snoc (l, x) = append l [x]
(** [flatten l], where [l] is a list of lists, returns the list of the
elements of the lists in [l], preserving their order. Named as in:
OCaml, Coq. *)
val flatten: list (list 'a) -> Tot (list 'a)
let rec flatten l = match l with
| [] -> []
| hd::tl -> append hd (flatten tl)
(** [map f l] applies [f] to each element of [l] and returns the list
of results, in the order of the original elements in [l]. Requires, at
type-checking time, [f] to be a pure total function. Named as in: OCaml, Coq, F# *)
val map: ('a -> Tot 'b) -> list 'a -> Tot (list 'b)
let rec map f x = match x with
| [] -> []
| a::tl -> f a::map f tl
(** [mapi_init f l n] applies, for each [k], [f (n+k)] to the [k]-th
element of [l] and returns the list of results, in the order of the
original elements in [l]. Requires, at type-checking time, [f] to be a
pure total function. *)
val mapi_init: (int -> 'a -> Tot 'b) -> list 'a -> int -> Tot (list 'b)
let rec mapi_init f l i = match l with
| [] -> []
| hd::tl -> (f i hd)::(mapi_init f tl (i+1))
(** [mapi f l] applies, for each [k], [f k] to the [k]-th element of
[l] and returns the list of results, in the order of the original
elements in [l]. Requires, at type-checking time, [f] to be a pure
total function. Named as in: OCaml *)
val mapi: (int -> 'a -> Tot 'b) -> list 'a -> Tot (list 'b)
let mapi f l = mapi_init f l 0
(** [concatMap f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. This is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. *)
val concatMap: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec concatMap f = function
| [] -> []
| a::tl ->
let fa = f a in
let ftl = concatMap f tl in
append fa ftl
(** [fold_left f x [y1; y2; ...; yn]] computes (f (... (f x y1) y2)
... yn). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq. *)
val fold_left: ('a -> 'b -> Tot 'a) -> 'a -> l:list 'b -> Tot 'a (decreases l)
let rec fold_left f x l = match l with
| [] -> x
| hd::tl -> fold_left f (f x hd) tl
(** [fold_right f [x1; x2; ...; xn] y] computes (f x1 (f x2 (... (f xn
y)) ... )). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq *)
val fold_right: ('a -> 'b -> Tot 'b) -> list 'a -> 'b -> Tot 'b
let rec fold_right f l x = match l with
| [] -> x
| hd::tl -> f hd (fold_right f tl x)
(** [fold_right_gtot] is just like [fold_right], except `f` is
a ghost function **)
let rec fold_right_gtot (#a:Type) (#b:Type) (l:list a) (f:a -> b -> GTot b) (x:b)
: GTot b
= match l with
| [] -> x
| hd::tl -> f hd (fold_right_gtot tl f x)
(* We define map in terms of fold, to share simple lemmas *)
let map_gtot #a #b (f:a -> GTot b) (x:list a)
: GTot (list b)
= fold_right_gtot x (fun x tl -> f x :: tl) []
(** [fold_left2 f x [y1; y2; ...; yn] [z1; z2; ...; zn]] computes (f
(... (f x y1 z1) y2 z2) ... yn zn). Requires, at type-checking time,
[f] to be a pure total function, and the lists [y1; y2; ...; yn] and
[z1; z2; ...; zn] to have the same lengths. Named as in: OCaml *)
val fold_left2 : f:('a -> 'b -> 'c -> Tot 'a) -> accu:'a -> l1:(list 'b) -> l2:(list 'c) ->
Pure 'a (requires (length l1 == length l2)) (ensures (fun _ -> True)) (decreases l1)
let rec fold_left2 f accu l1 l2 =
match (l1, l2) with
| ([], []) -> accu
| (a1::l1, a2::l2) -> fold_left2 f (f accu a1 a2) l1 l2
(** Propositional membership (as in Coq). Does not require decidable
equality. *)
(** [memP x l] holds if, and only if, [x] appears as an
element of [l]. Similar to: List.In in Coq. *)
let rec memP (#a: Type) (x: a) (l: list a) : Tot Type0 =
match l with
| [] -> False
| y :: q -> x == y \/ memP x q
(** List searching **)
(** [mem x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. Named as in: OCaml. See also:
List.In in Coq, which is propositional. *)
val mem: #a:eqtype -> a -> list a -> Tot bool
let rec mem #a x = function
| [] -> false
| hd::tl -> if hd = x then true else mem x tl
(** [contains x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. It is equivalent to: [mem x
l]. TODO: should we rather swap the order of arguments? *)
let contains : #a:eqtype -> a -> list a -> Tot bool = mem
(** [existsb f l] returns [true] if, and only if, there exists some
element [x] in [l] such that [f x] holds. *)
val existsb: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot bool
let rec existsb #a f l = match l with
| [] -> false
| hd::tl -> if f hd then true else existsb f tl
(** [find f l] returns [Some x] for some element [x] appearing in [l]
such that [f x] holds, or [None] only if no such [x] exists. *)
val find: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot (option (x:a{f x}))
let rec find #a f l = match l with
| [] -> None #(x:a{f x}) //These type annotations are only present because it makes bootstrapping go much faster
| hd::tl -> if f hd then Some #(x:a{f x}) hd else find f tl
(** Filtering elements of a list [l] through a Boolean pure total
predicate [f] *)
(** [filter f l] returns [l] with all elements [x] such that [f x]
does not hold removed. Requires, at type-checking time, [f] to be a
pure total function. Named as in: OCaml, Coq *)
val filter : #a: Type -> f:(a -> Tot bool) -> l: list a -> Tot (m:list a{forall x. memP x m ==> f x})
let rec filter #a f = function
| [] -> []
| hd::tl -> if f hd then hd::filter f tl else filter f tl
(** Postcondition on [filter f l]: for any element [x] of [filter f l],
[f x] holds. Requires, at type-checking time, [f] to be a pure total
function.*)
val mem_filter (#a:Type) (f: (a -> Tot bool)) (l: list a) (x: a) : Lemma
(requires (memP x (filter f l)))
(ensures (f x))
let mem_filter f l x = ()
(** Postcondition on [filter f l]: stated with [forall]: for any element
[x] of [filter f l], [f x] holds. Requires, at type-checking time, [f]
to be a pure total function. *)
val mem_filter_forall (#a:Type) (f: (a -> Tot bool)) (l: list a) : Lemma
(requires True)
(ensures (forall x . memP x (filter f l) ==> f x))
[SMTPat (filter f l)]
let mem_filter_forall f l = FStar.Classical.ghost_lemma (mem_filter f l)
(** [for_all f l] returns [true] if, and only if, for all elements [x]
appearing in [l], [f x] holds. Requires, at type-checking time, [f] to
be a pure total function. Named as in: OCaml. Similar to: List.forallb
in Coq *)
val for_all: ('a -> Tot bool) -> list 'a -> Tot bool
let rec for_all f l = match l with
| [] -> true
| hd::tl -> if f hd then for_all f tl else false
(** Specification for [for_all f l] vs. mem *)
let rec for_all_mem
(#a: Type)
(f: (a -> Tot bool))
(l: list a)
: Lemma
(for_all f l <==> (forall x . memP x l ==> f x))
= match l with
| [] -> ()
| _ :: q -> for_all_mem f q
(** [collect f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. It is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. TODO: what is
the difference with [concatMap]? *) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.List.Tot.Base.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"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 | f: (_: 'a -> Prims.list 'b) -> l: Prims.list 'a -> Prims.list 'b | Prims.Tot | [
"total"
] | [] | [
"Prims.list",
"Prims.Nil",
"FStar.List.Tot.Base.append",
"FStar.List.Tot.Base.collect"
] | [
"recursion"
] | false | false | false | true | false | let rec collect f l =
| match l with
| [] -> []
| hd :: tl -> append (f hd) (collect f tl) | false |
FStar.List.Tot.Base.fst | FStar.List.Tot.Base.subset | val subset: #a:eqtype -> list a -> list a -> Tot bool | val subset: #a:eqtype -> list a -> list a -> Tot bool | let rec subset #a la lb =
match la with
| [] -> true
| h :: tl -> mem h lb && subset tl lb | {
"file_name": "ulib/FStar.List.Tot.Base.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 40,
"end_line": 382,
"start_col": 0,
"start_line": 379
} | (*
Copyright 2008-2014 Nikhil Swamy and 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.
*)
(**
This module defines all pure and total operations on lists that can be
used in specifications. It is implemented by FStar_List_Tot_Base.ml, any
functional change and/or the addition of new functions MUST be reflected
there.
@summary Pure total operations on lists
*)
module FStar.List.Tot.Base
(**
Base operations
*)
(** [isEmpty l] returns [true] if and only if [l] is empty *)
val isEmpty: list 'a -> Tot bool
let isEmpty l = match l with
| [] -> true
| _ -> false
(** [hd l] returns the first element of [l]. Requires [l] to be
nonempty, at type-checking time. Named as in: OCaml, F#, Coq *)
val hd: l:list 'a{Cons? l} -> Tot 'a
let hd = function
| hd::_ -> hd
(** [tail l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Similar to: tl in OCaml, F#, Coq
*)
val tail: l:list 'a {Cons? l} -> Tot (list 'a)
let tail = function
| _::tl -> tl
(** [tl l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Named as in: OCaml, F#, Coq
*)
val tl: l:list 'a {Cons? l} -> Tot (list 'a)
let tl = tail
(** [last l] returns the last element of [l]. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val last: l:list 'a {Cons? l} -> Tot 'a
let rec last = function
| [hd] -> hd
| _::tl -> last tl
(** [init l] returns [l] without its last element. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val init: l:list 'a {Cons? l} -> Tot (list 'a)
let rec init = function
| [_] -> []
| hd::tl -> hd::(init tl)
(** [length l] returns the total number of elements in [l]. Named as
in: OCaml, F#, Coq *)
val length: list 'a -> Tot nat
let rec length = function
| [] -> 0
| _::tl -> 1 + length tl
(** [nth l n] returns the [n]-th element in list [l] (with the first
element being the 0-th) if [l] is long enough, or [None]
otherwise. Named as in: OCaml, F#, Coq *)
val nth: list 'a -> nat -> Tot (option 'a)
let rec nth l n = match l with
| [] -> None
| hd::tl -> if n = 0 then Some hd else nth tl (n - 1)
(** [index l n] returns the [n]-th element in list [l] (with the first
element being the 0-th). Requires, at type-checking time, that [l] be
of length at least [n+1]. *)
val index: #a:Type -> l:list a -> i:nat{i < length l} -> Tot a
let rec index #a (l: list a) (i:nat{i < length l}): Tot a =
if i = 0 then
hd l
else
index (tl l) (i - 1)
(** [count x l] returns the number of occurrences of [x] in
[l]. Requires, at type-checking time, the type of [a] to have equality
defined. Similar to: [List.count_occ] in Coq. *)
val count: #a:eqtype -> a -> list a -> Tot nat
let rec count #a x = function
| [] -> 0
| hd::tl -> if x=hd then 1 + count x tl else count x tl
(** [rev_acc l1 l2] appends the elements of [l1] to the beginning of
[l2], in reverse order. It is equivalent to [append (rev l1) l2], but
is tail-recursive. Similar to: [List.rev_append] in OCaml, Coq. *)
val rev_acc: list 'a -> list 'a -> Tot (list 'a)
let rec rev_acc l acc = match l with
| [] -> acc
| hd::tl -> rev_acc tl (hd::acc)
(** [rev l] returns the list [l] in reverse order. Named as in: OCaml,
F#, Coq. *)
val rev: list 'a -> Tot (list 'a)
let rev l = rev_acc l []
(** [append l1 l2] appends the elements of [l2] to the end of [l1]. Named as: OCaml, F#. Similar to: [List.app] in Coq. *)
val append: list 'a -> list 'a -> Tot (list 'a)
let rec append x y = match x with
| [] -> y
| a::tl -> a::append tl y
(** Defines notation [@@] for [append], as in OCaml, F# . *)
let op_At x y = append x y
(** [snoc (l, x)] adds [x] to the end of the list [l].
Note: We use an uncurried [snoc (l, x)] instead of the curried
[snoc l x]. This is intentional. If [snoc] takes a pair instead
of 2 arguments, it allows for a better pattern on
[lemma_unsnoc_snoc], which connects [snoc] and [unsnoc]. In
particular, if we had two arguments, then either the pattern would
either be too restrictive or would lead to over-triggering. More
context for this can be seen in the (collapsed and uncollapsed)
comments at https://github.com/FStarLang/FStar/pull/1560 *)
val snoc: (list 'a * 'a) -> Tot (list 'a)
let snoc (l, x) = append l [x]
(** [flatten l], where [l] is a list of lists, returns the list of the
elements of the lists in [l], preserving their order. Named as in:
OCaml, Coq. *)
val flatten: list (list 'a) -> Tot (list 'a)
let rec flatten l = match l with
| [] -> []
| hd::tl -> append hd (flatten tl)
(** [map f l] applies [f] to each element of [l] and returns the list
of results, in the order of the original elements in [l]. Requires, at
type-checking time, [f] to be a pure total function. Named as in: OCaml, Coq, F# *)
val map: ('a -> Tot 'b) -> list 'a -> Tot (list 'b)
let rec map f x = match x with
| [] -> []
| a::tl -> f a::map f tl
(** [mapi_init f l n] applies, for each [k], [f (n+k)] to the [k]-th
element of [l] and returns the list of results, in the order of the
original elements in [l]. Requires, at type-checking time, [f] to be a
pure total function. *)
val mapi_init: (int -> 'a -> Tot 'b) -> list 'a -> int -> Tot (list 'b)
let rec mapi_init f l i = match l with
| [] -> []
| hd::tl -> (f i hd)::(mapi_init f tl (i+1))
(** [mapi f l] applies, for each [k], [f k] to the [k]-th element of
[l] and returns the list of results, in the order of the original
elements in [l]. Requires, at type-checking time, [f] to be a pure
total function. Named as in: OCaml *)
val mapi: (int -> 'a -> Tot 'b) -> list 'a -> Tot (list 'b)
let mapi f l = mapi_init f l 0
(** [concatMap f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. This is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. *)
val concatMap: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec concatMap f = function
| [] -> []
| a::tl ->
let fa = f a in
let ftl = concatMap f tl in
append fa ftl
(** [fold_left f x [y1; y2; ...; yn]] computes (f (... (f x y1) y2)
... yn). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq. *)
val fold_left: ('a -> 'b -> Tot 'a) -> 'a -> l:list 'b -> Tot 'a (decreases l)
let rec fold_left f x l = match l with
| [] -> x
| hd::tl -> fold_left f (f x hd) tl
(** [fold_right f [x1; x2; ...; xn] y] computes (f x1 (f x2 (... (f xn
y)) ... )). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq *)
val fold_right: ('a -> 'b -> Tot 'b) -> list 'a -> 'b -> Tot 'b
let rec fold_right f l x = match l with
| [] -> x
| hd::tl -> f hd (fold_right f tl x)
(** [fold_right_gtot] is just like [fold_right], except `f` is
a ghost function **)
let rec fold_right_gtot (#a:Type) (#b:Type) (l:list a) (f:a -> b -> GTot b) (x:b)
: GTot b
= match l with
| [] -> x
| hd::tl -> f hd (fold_right_gtot tl f x)
(* We define map in terms of fold, to share simple lemmas *)
let map_gtot #a #b (f:a -> GTot b) (x:list a)
: GTot (list b)
= fold_right_gtot x (fun x tl -> f x :: tl) []
(** [fold_left2 f x [y1; y2; ...; yn] [z1; z2; ...; zn]] computes (f
(... (f x y1 z1) y2 z2) ... yn zn). Requires, at type-checking time,
[f] to be a pure total function, and the lists [y1; y2; ...; yn] and
[z1; z2; ...; zn] to have the same lengths. Named as in: OCaml *)
val fold_left2 : f:('a -> 'b -> 'c -> Tot 'a) -> accu:'a -> l1:(list 'b) -> l2:(list 'c) ->
Pure 'a (requires (length l1 == length l2)) (ensures (fun _ -> True)) (decreases l1)
let rec fold_left2 f accu l1 l2 =
match (l1, l2) with
| ([], []) -> accu
| (a1::l1, a2::l2) -> fold_left2 f (f accu a1 a2) l1 l2
(** Propositional membership (as in Coq). Does not require decidable
equality. *)
(** [memP x l] holds if, and only if, [x] appears as an
element of [l]. Similar to: List.In in Coq. *)
let rec memP (#a: Type) (x: a) (l: list a) : Tot Type0 =
match l with
| [] -> False
| y :: q -> x == y \/ memP x q
(** List searching **)
(** [mem x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. Named as in: OCaml. See also:
List.In in Coq, which is propositional. *)
val mem: #a:eqtype -> a -> list a -> Tot bool
let rec mem #a x = function
| [] -> false
| hd::tl -> if hd = x then true else mem x tl
(** [contains x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. It is equivalent to: [mem x
l]. TODO: should we rather swap the order of arguments? *)
let contains : #a:eqtype -> a -> list a -> Tot bool = mem
(** [existsb f l] returns [true] if, and only if, there exists some
element [x] in [l] such that [f x] holds. *)
val existsb: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot bool
let rec existsb #a f l = match l with
| [] -> false
| hd::tl -> if f hd then true else existsb f tl
(** [find f l] returns [Some x] for some element [x] appearing in [l]
such that [f x] holds, or [None] only if no such [x] exists. *)
val find: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot (option (x:a{f x}))
let rec find #a f l = match l with
| [] -> None #(x:a{f x}) //These type annotations are only present because it makes bootstrapping go much faster
| hd::tl -> if f hd then Some #(x:a{f x}) hd else find f tl
(** Filtering elements of a list [l] through a Boolean pure total
predicate [f] *)
(** [filter f l] returns [l] with all elements [x] such that [f x]
does not hold removed. Requires, at type-checking time, [f] to be a
pure total function. Named as in: OCaml, Coq *)
val filter : #a: Type -> f:(a -> Tot bool) -> l: list a -> Tot (m:list a{forall x. memP x m ==> f x})
let rec filter #a f = function
| [] -> []
| hd::tl -> if f hd then hd::filter f tl else filter f tl
(** Postcondition on [filter f l]: for any element [x] of [filter f l],
[f x] holds. Requires, at type-checking time, [f] to be a pure total
function.*)
val mem_filter (#a:Type) (f: (a -> Tot bool)) (l: list a) (x: a) : Lemma
(requires (memP x (filter f l)))
(ensures (f x))
let mem_filter f l x = ()
(** Postcondition on [filter f l]: stated with [forall]: for any element
[x] of [filter f l], [f x] holds. Requires, at type-checking time, [f]
to be a pure total function. *)
val mem_filter_forall (#a:Type) (f: (a -> Tot bool)) (l: list a) : Lemma
(requires True)
(ensures (forall x . memP x (filter f l) ==> f x))
[SMTPat (filter f l)]
let mem_filter_forall f l = FStar.Classical.ghost_lemma (mem_filter f l)
(** [for_all f l] returns [true] if, and only if, for all elements [x]
appearing in [l], [f x] holds. Requires, at type-checking time, [f] to
be a pure total function. Named as in: OCaml. Similar to: List.forallb
in Coq *)
val for_all: ('a -> Tot bool) -> list 'a -> Tot bool
let rec for_all f l = match l with
| [] -> true
| hd::tl -> if f hd then for_all f tl else false
(** Specification for [for_all f l] vs. mem *)
let rec for_all_mem
(#a: Type)
(f: (a -> Tot bool))
(l: list a)
: Lemma
(for_all f l <==> (forall x . memP x l ==> f x))
= match l with
| [] -> ()
| _ :: q -> for_all_mem f q
(** [collect f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. It is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. TODO: what is
the difference with [concatMap]? *)
val collect: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec collect f l = match l with
| [] -> []
| hd::tl -> append (f hd) (collect f tl)
(** [tryFind f l] returns [Some x] for some element [x] appearing in
[l] such that [f x] holds, or [None] only if no such [x]
exists. Requires, at type-checking time, [f] to be a pure total
function. Contrary to [find], [tryFind] provides no postcondition on
its result. *)
val tryFind: ('a -> Tot bool) -> list 'a -> Tot (option 'a)
let rec tryFind p l = match l with
| [] -> None
| hd::tl -> if p hd then Some hd else tryFind p tl
(** [tryPick f l] returns [y] for some element [x] appearing in [l]
such that [f x = Some y] for some y, or [None] only if [f x = None]
for all elements [x] of [l]. Requires, at type-checking time, [f] to
be a pure total function. *)
val tryPick: ('a -> Tot (option 'b)) -> list 'a -> Tot (option 'b)
let rec tryPick f l = match l with
| [] -> None
| hd::tl ->
match f hd with
| Some x -> Some x
| None -> tryPick f tl
(** [choose f l] returns the list of [y] for all elements [x]
appearing in [l] such that [f x = Some y] for some [y]. Requires, at
type-checking time, [f] to be a pure total function. *)
val choose: ('a -> Tot (option 'b)) -> list 'a -> Tot (list 'b)
let rec choose f l = match l with
| [] -> []
| hd::tl ->
match f hd with
| Some x -> x::(choose f tl)
| None -> choose f tl
(** [partition f l] returns the pair of lists [(l1, l2)] where all
elements [x] of [l] are in [l1] if [f x] holds, and in [l2]
otherwise. Both [l1] and [l2] retain the original order of
[l]. Requires, at type-checking time, [f] to be a pure total
function. *)
val partition: f:('a -> Tot bool) -> list 'a -> Tot (list 'a * list 'a)
let rec partition f = function
| [] -> [], []
| hd::tl ->
let l1, l2 = partition f tl in
if f hd
then hd::l1, l2
else l1, hd::l2
(** [subset la lb] is true if and only if all the elements from [la]
are also in [lb]. Requires, at type-checking time, the type of
elements of [la] and [lb] to have decidable equality. *) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.List.Tot.Base.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"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 | la: Prims.list a -> lb: Prims.list a -> Prims.bool | Prims.Tot | [
"total"
] | [] | [
"Prims.eqtype",
"Prims.list",
"Prims.op_AmpAmp",
"FStar.List.Tot.Base.mem",
"FStar.List.Tot.Base.subset",
"Prims.bool"
] | [
"recursion"
] | false | false | false | false | false | let rec subset #a la lb =
| match la with
| [] -> true
| h :: tl -> mem h lb && subset tl lb | false |
FStar.List.Tot.Base.fst | FStar.List.Tot.Base.tryPick | val tryPick: ('a -> Tot (option 'b)) -> list 'a -> Tot (option 'b) | val tryPick: ('a -> Tot (option 'b)) -> list 'a -> Tot (option 'b) | let rec tryPick f l = match l with
| [] -> None
| hd::tl ->
match f hd with
| Some x -> Some x
| None -> tryPick f tl | {
"file_name": "ulib/FStar.List.Tot.Base.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 31,
"end_line": 348,
"start_col": 0,
"start_line": 343
} | (*
Copyright 2008-2014 Nikhil Swamy and 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.
*)
(**
This module defines all pure and total operations on lists that can be
used in specifications. It is implemented by FStar_List_Tot_Base.ml, any
functional change and/or the addition of new functions MUST be reflected
there.
@summary Pure total operations on lists
*)
module FStar.List.Tot.Base
(**
Base operations
*)
(** [isEmpty l] returns [true] if and only if [l] is empty *)
val isEmpty: list 'a -> Tot bool
let isEmpty l = match l with
| [] -> true
| _ -> false
(** [hd l] returns the first element of [l]. Requires [l] to be
nonempty, at type-checking time. Named as in: OCaml, F#, Coq *)
val hd: l:list 'a{Cons? l} -> Tot 'a
let hd = function
| hd::_ -> hd
(** [tail l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Similar to: tl in OCaml, F#, Coq
*)
val tail: l:list 'a {Cons? l} -> Tot (list 'a)
let tail = function
| _::tl -> tl
(** [tl l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Named as in: OCaml, F#, Coq
*)
val tl: l:list 'a {Cons? l} -> Tot (list 'a)
let tl = tail
(** [last l] returns the last element of [l]. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val last: l:list 'a {Cons? l} -> Tot 'a
let rec last = function
| [hd] -> hd
| _::tl -> last tl
(** [init l] returns [l] without its last element. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val init: l:list 'a {Cons? l} -> Tot (list 'a)
let rec init = function
| [_] -> []
| hd::tl -> hd::(init tl)
(** [length l] returns the total number of elements in [l]. Named as
in: OCaml, F#, Coq *)
val length: list 'a -> Tot nat
let rec length = function
| [] -> 0
| _::tl -> 1 + length tl
(** [nth l n] returns the [n]-th element in list [l] (with the first
element being the 0-th) if [l] is long enough, or [None]
otherwise. Named as in: OCaml, F#, Coq *)
val nth: list 'a -> nat -> Tot (option 'a)
let rec nth l n = match l with
| [] -> None
| hd::tl -> if n = 0 then Some hd else nth tl (n - 1)
(** [index l n] returns the [n]-th element in list [l] (with the first
element being the 0-th). Requires, at type-checking time, that [l] be
of length at least [n+1]. *)
val index: #a:Type -> l:list a -> i:nat{i < length l} -> Tot a
let rec index #a (l: list a) (i:nat{i < length l}): Tot a =
if i = 0 then
hd l
else
index (tl l) (i - 1)
(** [count x l] returns the number of occurrences of [x] in
[l]. Requires, at type-checking time, the type of [a] to have equality
defined. Similar to: [List.count_occ] in Coq. *)
val count: #a:eqtype -> a -> list a -> Tot nat
let rec count #a x = function
| [] -> 0
| hd::tl -> if x=hd then 1 + count x tl else count x tl
(** [rev_acc l1 l2] appends the elements of [l1] to the beginning of
[l2], in reverse order. It is equivalent to [append (rev l1) l2], but
is tail-recursive. Similar to: [List.rev_append] in OCaml, Coq. *)
val rev_acc: list 'a -> list 'a -> Tot (list 'a)
let rec rev_acc l acc = match l with
| [] -> acc
| hd::tl -> rev_acc tl (hd::acc)
(** [rev l] returns the list [l] in reverse order. Named as in: OCaml,
F#, Coq. *)
val rev: list 'a -> Tot (list 'a)
let rev l = rev_acc l []
(** [append l1 l2] appends the elements of [l2] to the end of [l1]. Named as: OCaml, F#. Similar to: [List.app] in Coq. *)
val append: list 'a -> list 'a -> Tot (list 'a)
let rec append x y = match x with
| [] -> y
| a::tl -> a::append tl y
(** Defines notation [@@] for [append], as in OCaml, F# . *)
let op_At x y = append x y
(** [snoc (l, x)] adds [x] to the end of the list [l].
Note: We use an uncurried [snoc (l, x)] instead of the curried
[snoc l x]. This is intentional. If [snoc] takes a pair instead
of 2 arguments, it allows for a better pattern on
[lemma_unsnoc_snoc], which connects [snoc] and [unsnoc]. In
particular, if we had two arguments, then either the pattern would
either be too restrictive or would lead to over-triggering. More
context for this can be seen in the (collapsed and uncollapsed)
comments at https://github.com/FStarLang/FStar/pull/1560 *)
val snoc: (list 'a * 'a) -> Tot (list 'a)
let snoc (l, x) = append l [x]
(** [flatten l], where [l] is a list of lists, returns the list of the
elements of the lists in [l], preserving their order. Named as in:
OCaml, Coq. *)
val flatten: list (list 'a) -> Tot (list 'a)
let rec flatten l = match l with
| [] -> []
| hd::tl -> append hd (flatten tl)
(** [map f l] applies [f] to each element of [l] and returns the list
of results, in the order of the original elements in [l]. Requires, at
type-checking time, [f] to be a pure total function. Named as in: OCaml, Coq, F# *)
val map: ('a -> Tot 'b) -> list 'a -> Tot (list 'b)
let rec map f x = match x with
| [] -> []
| a::tl -> f a::map f tl
(** [mapi_init f l n] applies, for each [k], [f (n+k)] to the [k]-th
element of [l] and returns the list of results, in the order of the
original elements in [l]. Requires, at type-checking time, [f] to be a
pure total function. *)
val mapi_init: (int -> 'a -> Tot 'b) -> list 'a -> int -> Tot (list 'b)
let rec mapi_init f l i = match l with
| [] -> []
| hd::tl -> (f i hd)::(mapi_init f tl (i+1))
(** [mapi f l] applies, for each [k], [f k] to the [k]-th element of
[l] and returns the list of results, in the order of the original
elements in [l]. Requires, at type-checking time, [f] to be a pure
total function. Named as in: OCaml *)
val mapi: (int -> 'a -> Tot 'b) -> list 'a -> Tot (list 'b)
let mapi f l = mapi_init f l 0
(** [concatMap f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. This is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. *)
val concatMap: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec concatMap f = function
| [] -> []
| a::tl ->
let fa = f a in
let ftl = concatMap f tl in
append fa ftl
(** [fold_left f x [y1; y2; ...; yn]] computes (f (... (f x y1) y2)
... yn). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq. *)
val fold_left: ('a -> 'b -> Tot 'a) -> 'a -> l:list 'b -> Tot 'a (decreases l)
let rec fold_left f x l = match l with
| [] -> x
| hd::tl -> fold_left f (f x hd) tl
(** [fold_right f [x1; x2; ...; xn] y] computes (f x1 (f x2 (... (f xn
y)) ... )). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq *)
val fold_right: ('a -> 'b -> Tot 'b) -> list 'a -> 'b -> Tot 'b
let rec fold_right f l x = match l with
| [] -> x
| hd::tl -> f hd (fold_right f tl x)
(** [fold_right_gtot] is just like [fold_right], except `f` is
a ghost function **)
let rec fold_right_gtot (#a:Type) (#b:Type) (l:list a) (f:a -> b -> GTot b) (x:b)
: GTot b
= match l with
| [] -> x
| hd::tl -> f hd (fold_right_gtot tl f x)
(* We define map in terms of fold, to share simple lemmas *)
let map_gtot #a #b (f:a -> GTot b) (x:list a)
: GTot (list b)
= fold_right_gtot x (fun x tl -> f x :: tl) []
(** [fold_left2 f x [y1; y2; ...; yn] [z1; z2; ...; zn]] computes (f
(... (f x y1 z1) y2 z2) ... yn zn). Requires, at type-checking time,
[f] to be a pure total function, and the lists [y1; y2; ...; yn] and
[z1; z2; ...; zn] to have the same lengths. Named as in: OCaml *)
val fold_left2 : f:('a -> 'b -> 'c -> Tot 'a) -> accu:'a -> l1:(list 'b) -> l2:(list 'c) ->
Pure 'a (requires (length l1 == length l2)) (ensures (fun _ -> True)) (decreases l1)
let rec fold_left2 f accu l1 l2 =
match (l1, l2) with
| ([], []) -> accu
| (a1::l1, a2::l2) -> fold_left2 f (f accu a1 a2) l1 l2
(** Propositional membership (as in Coq). Does not require decidable
equality. *)
(** [memP x l] holds if, and only if, [x] appears as an
element of [l]. Similar to: List.In in Coq. *)
let rec memP (#a: Type) (x: a) (l: list a) : Tot Type0 =
match l with
| [] -> False
| y :: q -> x == y \/ memP x q
(** List searching **)
(** [mem x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. Named as in: OCaml. See also:
List.In in Coq, which is propositional. *)
val mem: #a:eqtype -> a -> list a -> Tot bool
let rec mem #a x = function
| [] -> false
| hd::tl -> if hd = x then true else mem x tl
(** [contains x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. It is equivalent to: [mem x
l]. TODO: should we rather swap the order of arguments? *)
let contains : #a:eqtype -> a -> list a -> Tot bool = mem
(** [existsb f l] returns [true] if, and only if, there exists some
element [x] in [l] such that [f x] holds. *)
val existsb: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot bool
let rec existsb #a f l = match l with
| [] -> false
| hd::tl -> if f hd then true else existsb f tl
(** [find f l] returns [Some x] for some element [x] appearing in [l]
such that [f x] holds, or [None] only if no such [x] exists. *)
val find: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot (option (x:a{f x}))
let rec find #a f l = match l with
| [] -> None #(x:a{f x}) //These type annotations are only present because it makes bootstrapping go much faster
| hd::tl -> if f hd then Some #(x:a{f x}) hd else find f tl
(** Filtering elements of a list [l] through a Boolean pure total
predicate [f] *)
(** [filter f l] returns [l] with all elements [x] such that [f x]
does not hold removed. Requires, at type-checking time, [f] to be a
pure total function. Named as in: OCaml, Coq *)
val filter : #a: Type -> f:(a -> Tot bool) -> l: list a -> Tot (m:list a{forall x. memP x m ==> f x})
let rec filter #a f = function
| [] -> []
| hd::tl -> if f hd then hd::filter f tl else filter f tl
(** Postcondition on [filter f l]: for any element [x] of [filter f l],
[f x] holds. Requires, at type-checking time, [f] to be a pure total
function.*)
val mem_filter (#a:Type) (f: (a -> Tot bool)) (l: list a) (x: a) : Lemma
(requires (memP x (filter f l)))
(ensures (f x))
let mem_filter f l x = ()
(** Postcondition on [filter f l]: stated with [forall]: for any element
[x] of [filter f l], [f x] holds. Requires, at type-checking time, [f]
to be a pure total function. *)
val mem_filter_forall (#a:Type) (f: (a -> Tot bool)) (l: list a) : Lemma
(requires True)
(ensures (forall x . memP x (filter f l) ==> f x))
[SMTPat (filter f l)]
let mem_filter_forall f l = FStar.Classical.ghost_lemma (mem_filter f l)
(** [for_all f l] returns [true] if, and only if, for all elements [x]
appearing in [l], [f x] holds. Requires, at type-checking time, [f] to
be a pure total function. Named as in: OCaml. Similar to: List.forallb
in Coq *)
val for_all: ('a -> Tot bool) -> list 'a -> Tot bool
let rec for_all f l = match l with
| [] -> true
| hd::tl -> if f hd then for_all f tl else false
(** Specification for [for_all f l] vs. mem *)
let rec for_all_mem
(#a: Type)
(f: (a -> Tot bool))
(l: list a)
: Lemma
(for_all f l <==> (forall x . memP x l ==> f x))
= match l with
| [] -> ()
| _ :: q -> for_all_mem f q
(** [collect f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. It is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. TODO: what is
the difference with [concatMap]? *)
val collect: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec collect f l = match l with
| [] -> []
| hd::tl -> append (f hd) (collect f tl)
(** [tryFind f l] returns [Some x] for some element [x] appearing in
[l] such that [f x] holds, or [None] only if no such [x]
exists. Requires, at type-checking time, [f] to be a pure total
function. Contrary to [find], [tryFind] provides no postcondition on
its result. *)
val tryFind: ('a -> Tot bool) -> list 'a -> Tot (option 'a)
let rec tryFind p l = match l with
| [] -> None
| hd::tl -> if p hd then Some hd else tryFind p tl
(** [tryPick f l] returns [y] for some element [x] appearing in [l]
such that [f x = Some y] for some y, or [None] only if [f x = None]
for all elements [x] of [l]. Requires, at type-checking time, [f] to
be a pure total function. *) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.List.Tot.Base.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"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 | f: (_: 'a -> FStar.Pervasives.Native.option 'b) -> l: Prims.list 'a
-> FStar.Pervasives.Native.option 'b | Prims.Tot | [
"total"
] | [] | [
"FStar.Pervasives.Native.option",
"Prims.list",
"FStar.Pervasives.Native.None",
"FStar.Pervasives.Native.Some",
"FStar.List.Tot.Base.tryPick"
] | [
"recursion"
] | false | false | false | true | false | let rec tryPick f l =
| match l with
| [] -> None
| hd :: tl ->
match f hd with
| Some x -> Some x
| None -> tryPick f tl | false |
FStar.List.Tot.Base.fst | FStar.List.Tot.Base.compare_of_bool | val compare_of_bool : #a:eqtype -> (a -> a -> Tot bool) -> a -> a -> Tot int | val compare_of_bool : #a:eqtype -> (a -> a -> Tot bool) -> a -> a -> Tot int | let compare_of_bool #a rel x y =
if x `rel` y then -1
else if x = y then 0
else 1 | {
"file_name": "ulib/FStar.List.Tot.Base.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 10,
"end_line": 512,
"start_col": 0,
"start_line": 509
} | (*
Copyright 2008-2014 Nikhil Swamy and 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.
*)
(**
This module defines all pure and total operations on lists that can be
used in specifications. It is implemented by FStar_List_Tot_Base.ml, any
functional change and/or the addition of new functions MUST be reflected
there.
@summary Pure total operations on lists
*)
module FStar.List.Tot.Base
(**
Base operations
*)
(** [isEmpty l] returns [true] if and only if [l] is empty *)
val isEmpty: list 'a -> Tot bool
let isEmpty l = match l with
| [] -> true
| _ -> false
(** [hd l] returns the first element of [l]. Requires [l] to be
nonempty, at type-checking time. Named as in: OCaml, F#, Coq *)
val hd: l:list 'a{Cons? l} -> Tot 'a
let hd = function
| hd::_ -> hd
(** [tail l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Similar to: tl in OCaml, F#, Coq
*)
val tail: l:list 'a {Cons? l} -> Tot (list 'a)
let tail = function
| _::tl -> tl
(** [tl l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Named as in: OCaml, F#, Coq
*)
val tl: l:list 'a {Cons? l} -> Tot (list 'a)
let tl = tail
(** [last l] returns the last element of [l]. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val last: l:list 'a {Cons? l} -> Tot 'a
let rec last = function
| [hd] -> hd
| _::tl -> last tl
(** [init l] returns [l] without its last element. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val init: l:list 'a {Cons? l} -> Tot (list 'a)
let rec init = function
| [_] -> []
| hd::tl -> hd::(init tl)
(** [length l] returns the total number of elements in [l]. Named as
in: OCaml, F#, Coq *)
val length: list 'a -> Tot nat
let rec length = function
| [] -> 0
| _::tl -> 1 + length tl
(** [nth l n] returns the [n]-th element in list [l] (with the first
element being the 0-th) if [l] is long enough, or [None]
otherwise. Named as in: OCaml, F#, Coq *)
val nth: list 'a -> nat -> Tot (option 'a)
let rec nth l n = match l with
| [] -> None
| hd::tl -> if n = 0 then Some hd else nth tl (n - 1)
(** [index l n] returns the [n]-th element in list [l] (with the first
element being the 0-th). Requires, at type-checking time, that [l] be
of length at least [n+1]. *)
val index: #a:Type -> l:list a -> i:nat{i < length l} -> Tot a
let rec index #a (l: list a) (i:nat{i < length l}): Tot a =
if i = 0 then
hd l
else
index (tl l) (i - 1)
(** [count x l] returns the number of occurrences of [x] in
[l]. Requires, at type-checking time, the type of [a] to have equality
defined. Similar to: [List.count_occ] in Coq. *)
val count: #a:eqtype -> a -> list a -> Tot nat
let rec count #a x = function
| [] -> 0
| hd::tl -> if x=hd then 1 + count x tl else count x tl
(** [rev_acc l1 l2] appends the elements of [l1] to the beginning of
[l2], in reverse order. It is equivalent to [append (rev l1) l2], but
is tail-recursive. Similar to: [List.rev_append] in OCaml, Coq. *)
val rev_acc: list 'a -> list 'a -> Tot (list 'a)
let rec rev_acc l acc = match l with
| [] -> acc
| hd::tl -> rev_acc tl (hd::acc)
(** [rev l] returns the list [l] in reverse order. Named as in: OCaml,
F#, Coq. *)
val rev: list 'a -> Tot (list 'a)
let rev l = rev_acc l []
(** [append l1 l2] appends the elements of [l2] to the end of [l1]. Named as: OCaml, F#. Similar to: [List.app] in Coq. *)
val append: list 'a -> list 'a -> Tot (list 'a)
let rec append x y = match x with
| [] -> y
| a::tl -> a::append tl y
(** Defines notation [@@] for [append], as in OCaml, F# . *)
let op_At x y = append x y
(** [snoc (l, x)] adds [x] to the end of the list [l].
Note: We use an uncurried [snoc (l, x)] instead of the curried
[snoc l x]. This is intentional. If [snoc] takes a pair instead
of 2 arguments, it allows for a better pattern on
[lemma_unsnoc_snoc], which connects [snoc] and [unsnoc]. In
particular, if we had two arguments, then either the pattern would
either be too restrictive or would lead to over-triggering. More
context for this can be seen in the (collapsed and uncollapsed)
comments at https://github.com/FStarLang/FStar/pull/1560 *)
val snoc: (list 'a * 'a) -> Tot (list 'a)
let snoc (l, x) = append l [x]
(** [flatten l], where [l] is a list of lists, returns the list of the
elements of the lists in [l], preserving their order. Named as in:
OCaml, Coq. *)
val flatten: list (list 'a) -> Tot (list 'a)
let rec flatten l = match l with
| [] -> []
| hd::tl -> append hd (flatten tl)
(** [map f l] applies [f] to each element of [l] and returns the list
of results, in the order of the original elements in [l]. Requires, at
type-checking time, [f] to be a pure total function. Named as in: OCaml, Coq, F# *)
val map: ('a -> Tot 'b) -> list 'a -> Tot (list 'b)
let rec map f x = match x with
| [] -> []
| a::tl -> f a::map f tl
(** [mapi_init f l n] applies, for each [k], [f (n+k)] to the [k]-th
element of [l] and returns the list of results, in the order of the
original elements in [l]. Requires, at type-checking time, [f] to be a
pure total function. *)
val mapi_init: (int -> 'a -> Tot 'b) -> list 'a -> int -> Tot (list 'b)
let rec mapi_init f l i = match l with
| [] -> []
| hd::tl -> (f i hd)::(mapi_init f tl (i+1))
(** [mapi f l] applies, for each [k], [f k] to the [k]-th element of
[l] and returns the list of results, in the order of the original
elements in [l]. Requires, at type-checking time, [f] to be a pure
total function. Named as in: OCaml *)
val mapi: (int -> 'a -> Tot 'b) -> list 'a -> Tot (list 'b)
let mapi f l = mapi_init f l 0
(** [concatMap f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. This is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. *)
val concatMap: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec concatMap f = function
| [] -> []
| a::tl ->
let fa = f a in
let ftl = concatMap f tl in
append fa ftl
(** [fold_left f x [y1; y2; ...; yn]] computes (f (... (f x y1) y2)
... yn). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq. *)
val fold_left: ('a -> 'b -> Tot 'a) -> 'a -> l:list 'b -> Tot 'a (decreases l)
let rec fold_left f x l = match l with
| [] -> x
| hd::tl -> fold_left f (f x hd) tl
(** [fold_right f [x1; x2; ...; xn] y] computes (f x1 (f x2 (... (f xn
y)) ... )). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq *)
val fold_right: ('a -> 'b -> Tot 'b) -> list 'a -> 'b -> Tot 'b
let rec fold_right f l x = match l with
| [] -> x
| hd::tl -> f hd (fold_right f tl x)
(** [fold_right_gtot] is just like [fold_right], except `f` is
a ghost function **)
let rec fold_right_gtot (#a:Type) (#b:Type) (l:list a) (f:a -> b -> GTot b) (x:b)
: GTot b
= match l with
| [] -> x
| hd::tl -> f hd (fold_right_gtot tl f x)
(* We define map in terms of fold, to share simple lemmas *)
let map_gtot #a #b (f:a -> GTot b) (x:list a)
: GTot (list b)
= fold_right_gtot x (fun x tl -> f x :: tl) []
(** [fold_left2 f x [y1; y2; ...; yn] [z1; z2; ...; zn]] computes (f
(... (f x y1 z1) y2 z2) ... yn zn). Requires, at type-checking time,
[f] to be a pure total function, and the lists [y1; y2; ...; yn] and
[z1; z2; ...; zn] to have the same lengths. Named as in: OCaml *)
val fold_left2 : f:('a -> 'b -> 'c -> Tot 'a) -> accu:'a -> l1:(list 'b) -> l2:(list 'c) ->
Pure 'a (requires (length l1 == length l2)) (ensures (fun _ -> True)) (decreases l1)
let rec fold_left2 f accu l1 l2 =
match (l1, l2) with
| ([], []) -> accu
| (a1::l1, a2::l2) -> fold_left2 f (f accu a1 a2) l1 l2
(** Propositional membership (as in Coq). Does not require decidable
equality. *)
(** [memP x l] holds if, and only if, [x] appears as an
element of [l]. Similar to: List.In in Coq. *)
let rec memP (#a: Type) (x: a) (l: list a) : Tot Type0 =
match l with
| [] -> False
| y :: q -> x == y \/ memP x q
(** List searching **)
(** [mem x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. Named as in: OCaml. See also:
List.In in Coq, which is propositional. *)
val mem: #a:eqtype -> a -> list a -> Tot bool
let rec mem #a x = function
| [] -> false
| hd::tl -> if hd = x then true else mem x tl
(** [contains x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. It is equivalent to: [mem x
l]. TODO: should we rather swap the order of arguments? *)
let contains : #a:eqtype -> a -> list a -> Tot bool = mem
(** [existsb f l] returns [true] if, and only if, there exists some
element [x] in [l] such that [f x] holds. *)
val existsb: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot bool
let rec existsb #a f l = match l with
| [] -> false
| hd::tl -> if f hd then true else existsb f tl
(** [find f l] returns [Some x] for some element [x] appearing in [l]
such that [f x] holds, or [None] only if no such [x] exists. *)
val find: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot (option (x:a{f x}))
let rec find #a f l = match l with
| [] -> None #(x:a{f x}) //These type annotations are only present because it makes bootstrapping go much faster
| hd::tl -> if f hd then Some #(x:a{f x}) hd else find f tl
(** Filtering elements of a list [l] through a Boolean pure total
predicate [f] *)
(** [filter f l] returns [l] with all elements [x] such that [f x]
does not hold removed. Requires, at type-checking time, [f] to be a
pure total function. Named as in: OCaml, Coq *)
val filter : #a: Type -> f:(a -> Tot bool) -> l: list a -> Tot (m:list a{forall x. memP x m ==> f x})
let rec filter #a f = function
| [] -> []
| hd::tl -> if f hd then hd::filter f tl else filter f tl
(** Postcondition on [filter f l]: for any element [x] of [filter f l],
[f x] holds. Requires, at type-checking time, [f] to be a pure total
function.*)
val mem_filter (#a:Type) (f: (a -> Tot bool)) (l: list a) (x: a) : Lemma
(requires (memP x (filter f l)))
(ensures (f x))
let mem_filter f l x = ()
(** Postcondition on [filter f l]: stated with [forall]: for any element
[x] of [filter f l], [f x] holds. Requires, at type-checking time, [f]
to be a pure total function. *)
val mem_filter_forall (#a:Type) (f: (a -> Tot bool)) (l: list a) : Lemma
(requires True)
(ensures (forall x . memP x (filter f l) ==> f x))
[SMTPat (filter f l)]
let mem_filter_forall f l = FStar.Classical.ghost_lemma (mem_filter f l)
(** [for_all f l] returns [true] if, and only if, for all elements [x]
appearing in [l], [f x] holds. Requires, at type-checking time, [f] to
be a pure total function. Named as in: OCaml. Similar to: List.forallb
in Coq *)
val for_all: ('a -> Tot bool) -> list 'a -> Tot bool
let rec for_all f l = match l with
| [] -> true
| hd::tl -> if f hd then for_all f tl else false
(** Specification for [for_all f l] vs. mem *)
let rec for_all_mem
(#a: Type)
(f: (a -> Tot bool))
(l: list a)
: Lemma
(for_all f l <==> (forall x . memP x l ==> f x))
= match l with
| [] -> ()
| _ :: q -> for_all_mem f q
(** [collect f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. It is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. TODO: what is
the difference with [concatMap]? *)
val collect: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec collect f l = match l with
| [] -> []
| hd::tl -> append (f hd) (collect f tl)
(** [tryFind f l] returns [Some x] for some element [x] appearing in
[l] such that [f x] holds, or [None] only if no such [x]
exists. Requires, at type-checking time, [f] to be a pure total
function. Contrary to [find], [tryFind] provides no postcondition on
its result. *)
val tryFind: ('a -> Tot bool) -> list 'a -> Tot (option 'a)
let rec tryFind p l = match l with
| [] -> None
| hd::tl -> if p hd then Some hd else tryFind p tl
(** [tryPick f l] returns [y] for some element [x] appearing in [l]
such that [f x = Some y] for some y, or [None] only if [f x = None]
for all elements [x] of [l]. Requires, at type-checking time, [f] to
be a pure total function. *)
val tryPick: ('a -> Tot (option 'b)) -> list 'a -> Tot (option 'b)
let rec tryPick f l = match l with
| [] -> None
| hd::tl ->
match f hd with
| Some x -> Some x
| None -> tryPick f tl
(** [choose f l] returns the list of [y] for all elements [x]
appearing in [l] such that [f x = Some y] for some [y]. Requires, at
type-checking time, [f] to be a pure total function. *)
val choose: ('a -> Tot (option 'b)) -> list 'a -> Tot (list 'b)
let rec choose f l = match l with
| [] -> []
| hd::tl ->
match f hd with
| Some x -> x::(choose f tl)
| None -> choose f tl
(** [partition f l] returns the pair of lists [(l1, l2)] where all
elements [x] of [l] are in [l1] if [f x] holds, and in [l2]
otherwise. Both [l1] and [l2] retain the original order of
[l]. Requires, at type-checking time, [f] to be a pure total
function. *)
val partition: f:('a -> Tot bool) -> list 'a -> Tot (list 'a * list 'a)
let rec partition f = function
| [] -> [], []
| hd::tl ->
let l1, l2 = partition f tl in
if f hd
then hd::l1, l2
else l1, hd::l2
(** [subset la lb] is true if and only if all the elements from [la]
are also in [lb]. Requires, at type-checking time, the type of
elements of [la] and [lb] to have decidable equality. *)
val subset: #a:eqtype -> list a -> list a -> Tot bool
let rec subset #a la lb =
match la with
| [] -> true
| h :: tl -> mem h lb && subset tl lb
(** [noRepeats l] returns [true] if, and only if, no element of [l]
appears in [l] more than once. Requires, at type-checking time, the
type of elements of [la] and [lb] to have decidable equality. *)
val noRepeats : #a:eqtype -> list a -> Tot bool
let rec noRepeats #a la =
match la with
| [] -> true
| h :: tl -> not(mem h tl) && noRepeats tl
(** [no_repeats_p l] valid if, and only if, no element of [l]
appears in [l] more than once. *)
val no_repeats_p : #a:Type -> list a -> Tot prop
let rec no_repeats_p #a la =
match la with
| [] -> True
| h :: tl -> ~(memP h tl) /\ no_repeats_p tl
(** List of tuples **)
(** [assoc x l] returns [Some y] where [(x, y)] is the first element
of [l] whose first element is [x], or [None] only if no such element
exists. Requires, at type-checking time, the type of [x] to have
decidable equality. Named as in: OCaml. *)
val assoc: #a:eqtype -> #b:Type -> a -> list (a * b) -> Tot (option b)
let rec assoc #a #b x = function
| [] -> None
| (x', y)::tl -> if x=x' then Some y else assoc x tl
(** [split] takes a list of pairs [(x1, y1), ..., (xn, yn)] and
returns the pair of lists ([x1, ..., xn], [y1, ..., yn]). Named as in:
OCaml *)
val split: list ('a * 'b) -> Tot (list 'a * list 'b)
let rec split l = match l with
| [] -> ([],[])
| (hd1,hd2)::tl ->
let (tl1,tl2) = split tl in
(hd1::tl1,hd2::tl2)
(** [unzip] takes a list of pairs [(x1, y1), ..., (xn, yn)] and
returns the pair of lists ([x1, ..., xn], [y1, ..., yn]). Named as in:
Haskell *)
let unzip l = split l
(** [unzip3] takes a list of triples [(x1, y1, z1), ..., (xn, yn, zn)]
and returns the triple of lists ([x1, ..., xn], [y1, ..., yn], [z1,
..., zn]). Named as in: Haskell *)
val unzip3: list ('a * 'b * 'c) -> Tot (list 'a * list 'b * list 'c)
let rec unzip3 l = match l with
| [] -> ([],[],[])
| (hd1,hd2,hd3)::tl ->
let (tl1,tl2,tl3) = unzip3 tl in
(hd1::tl1,hd2::tl2,hd3::tl3)
(** Splitting a list at some index **)
(** [splitAt] takes a natural number n and a list and returns a pair
of the maximal prefix of l of size smaller than n and the rest of
the list *)
let rec splitAt (#a:Type) (n:nat) (l:list a) : Tot (list a * list a) =
if n = 0 then [], l
else
match l with
| [] -> [], l
| x :: xs -> let l1, l2 = splitAt (n-1) xs in x :: l1, l2
let rec lemma_splitAt_snd_length (#a:Type) (n:nat) (l:list a) :
Lemma
(requires (n <= length l))
(ensures (length (snd (splitAt n l)) = length l - n)) =
match n, l with
| 0, _ -> ()
| _, [] -> ()
| _, _ :: l' -> lemma_splitAt_snd_length (n - 1) l'
(** [unsnoc] is an inverse of [snoc]. It splits a list into
all-elements-except-last and last element. *)
val unsnoc: #a:Type -> l:list a{length l > 0} -> Tot (list a * a)
let unsnoc #a l =
let l1, l2 = splitAt (length l - 1) l in
lemma_splitAt_snd_length (length l - 1) l;
l1, hd l2
(** [split3] splits a list into 3 parts. This allows easy access to
the part of the list before and after the element, as well as the
element itself. *)
val split3: #a:Type -> l:list a -> i:nat{i < length l} -> Tot (list a * a * list a)
let split3 #a l i =
let a, rest = splitAt i l in
lemma_splitAt_snd_length i l;
let b :: c = rest in
a, b, c
(** Sorting (implemented as quicksort) **)
(** [partition] splits a list [l] into two lists, the sum of whose
lengths is the length of [l]. *)
val partition_length: f:('a -> Tot bool)
-> l:list 'a
-> Lemma (requires True)
(ensures (length (fst (partition f l))
+ length (snd (partition f l)) = length l))
let rec partition_length f l = match l with
| [] -> ()
| hd::tl -> partition_length f tl
(** [bool_of_compare] turns a comparison function into a strict
order. More precisely, [bool_of_compare compare x y] returns true
if, and only if, [compare x y] is negative, meaning [x] precedes
[y] in the ordering defined by compare.
This is used in sorting, and is defined to be consistent with
OCaml and F#, where sorting is performed in ascending order.
*)
val bool_of_compare : #a:Type -> (a -> a -> Tot int) -> a -> a -> Tot bool
let bool_of_compare #a f x y = f x y < 0
(** [compare_of_bool] turns a strict order into a comparison
function. More precisely, [compare_of_bool rel x y] returns a positive
number if, and only if, x `rel` y holds. Inspired from OCaml, where
polymorphic comparison using both the [compare] function and the (>)
infix operator are such that [compare x y] is positive if, and only
if, x > y. Requires, at type-checking time, [rel] to be a pure total
function. *) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.List.Tot.Base.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"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 | rel: (_: a -> _: a -> Prims.bool) -> x: a -> y: a -> Prims.int | Prims.Tot | [
"total"
] | [] | [
"Prims.eqtype",
"Prims.bool",
"Prims.op_Minus",
"Prims.op_Equality",
"Prims.int"
] | [] | false | false | false | false | false | let compare_of_bool #a rel x y =
| if x `rel` y then - 1 else if x = y then 0 else 1 | false |
FStar.List.Tot.Base.fst | FStar.List.Tot.Base.strict_prefix_of | val strict_prefix_of : l1: Prims.list _ -> l2: Prims.list _ -> Prims.Pure Type0 | let strict_prefix_of = strict_suffix_of | {
"file_name": "ulib/FStar.List.Tot.Base.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 39,
"end_line": 541,
"start_col": 0,
"start_line": 541
} | (*
Copyright 2008-2014 Nikhil Swamy and 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.
*)
(**
This module defines all pure and total operations on lists that can be
used in specifications. It is implemented by FStar_List_Tot_Base.ml, any
functional change and/or the addition of new functions MUST be reflected
there.
@summary Pure total operations on lists
*)
module FStar.List.Tot.Base
(**
Base operations
*)
(** [isEmpty l] returns [true] if and only if [l] is empty *)
val isEmpty: list 'a -> Tot bool
let isEmpty l = match l with
| [] -> true
| _ -> false
(** [hd l] returns the first element of [l]. Requires [l] to be
nonempty, at type-checking time. Named as in: OCaml, F#, Coq *)
val hd: l:list 'a{Cons? l} -> Tot 'a
let hd = function
| hd::_ -> hd
(** [tail l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Similar to: tl in OCaml, F#, Coq
*)
val tail: l:list 'a {Cons? l} -> Tot (list 'a)
let tail = function
| _::tl -> tl
(** [tl l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Named as in: OCaml, F#, Coq
*)
val tl: l:list 'a {Cons? l} -> Tot (list 'a)
let tl = tail
(** [last l] returns the last element of [l]. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val last: l:list 'a {Cons? l} -> Tot 'a
let rec last = function
| [hd] -> hd
| _::tl -> last tl
(** [init l] returns [l] without its last element. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val init: l:list 'a {Cons? l} -> Tot (list 'a)
let rec init = function
| [_] -> []
| hd::tl -> hd::(init tl)
(** [length l] returns the total number of elements in [l]. Named as
in: OCaml, F#, Coq *)
val length: list 'a -> Tot nat
let rec length = function
| [] -> 0
| _::tl -> 1 + length tl
(** [nth l n] returns the [n]-th element in list [l] (with the first
element being the 0-th) if [l] is long enough, or [None]
otherwise. Named as in: OCaml, F#, Coq *)
val nth: list 'a -> nat -> Tot (option 'a)
let rec nth l n = match l with
| [] -> None
| hd::tl -> if n = 0 then Some hd else nth tl (n - 1)
(** [index l n] returns the [n]-th element in list [l] (with the first
element being the 0-th). Requires, at type-checking time, that [l] be
of length at least [n+1]. *)
val index: #a:Type -> l:list a -> i:nat{i < length l} -> Tot a
let rec index #a (l: list a) (i:nat{i < length l}): Tot a =
if i = 0 then
hd l
else
index (tl l) (i - 1)
(** [count x l] returns the number of occurrences of [x] in
[l]. Requires, at type-checking time, the type of [a] to have equality
defined. Similar to: [List.count_occ] in Coq. *)
val count: #a:eqtype -> a -> list a -> Tot nat
let rec count #a x = function
| [] -> 0
| hd::tl -> if x=hd then 1 + count x tl else count x tl
(** [rev_acc l1 l2] appends the elements of [l1] to the beginning of
[l2], in reverse order. It is equivalent to [append (rev l1) l2], but
is tail-recursive. Similar to: [List.rev_append] in OCaml, Coq. *)
val rev_acc: list 'a -> list 'a -> Tot (list 'a)
let rec rev_acc l acc = match l with
| [] -> acc
| hd::tl -> rev_acc tl (hd::acc)
(** [rev l] returns the list [l] in reverse order. Named as in: OCaml,
F#, Coq. *)
val rev: list 'a -> Tot (list 'a)
let rev l = rev_acc l []
(** [append l1 l2] appends the elements of [l2] to the end of [l1]. Named as: OCaml, F#. Similar to: [List.app] in Coq. *)
val append: list 'a -> list 'a -> Tot (list 'a)
let rec append x y = match x with
| [] -> y
| a::tl -> a::append tl y
(** Defines notation [@@] for [append], as in OCaml, F# . *)
let op_At x y = append x y
(** [snoc (l, x)] adds [x] to the end of the list [l].
Note: We use an uncurried [snoc (l, x)] instead of the curried
[snoc l x]. This is intentional. If [snoc] takes a pair instead
of 2 arguments, it allows for a better pattern on
[lemma_unsnoc_snoc], which connects [snoc] and [unsnoc]. In
particular, if we had two arguments, then either the pattern would
either be too restrictive or would lead to over-triggering. More
context for this can be seen in the (collapsed and uncollapsed)
comments at https://github.com/FStarLang/FStar/pull/1560 *)
val snoc: (list 'a * 'a) -> Tot (list 'a)
let snoc (l, x) = append l [x]
(** [flatten l], where [l] is a list of lists, returns the list of the
elements of the lists in [l], preserving their order. Named as in:
OCaml, Coq. *)
val flatten: list (list 'a) -> Tot (list 'a)
let rec flatten l = match l with
| [] -> []
| hd::tl -> append hd (flatten tl)
(** [map f l] applies [f] to each element of [l] and returns the list
of results, in the order of the original elements in [l]. Requires, at
type-checking time, [f] to be a pure total function. Named as in: OCaml, Coq, F# *)
val map: ('a -> Tot 'b) -> list 'a -> Tot (list 'b)
let rec map f x = match x with
| [] -> []
| a::tl -> f a::map f tl
(** [mapi_init f l n] applies, for each [k], [f (n+k)] to the [k]-th
element of [l] and returns the list of results, in the order of the
original elements in [l]. Requires, at type-checking time, [f] to be a
pure total function. *)
val mapi_init: (int -> 'a -> Tot 'b) -> list 'a -> int -> Tot (list 'b)
let rec mapi_init f l i = match l with
| [] -> []
| hd::tl -> (f i hd)::(mapi_init f tl (i+1))
(** [mapi f l] applies, for each [k], [f k] to the [k]-th element of
[l] and returns the list of results, in the order of the original
elements in [l]. Requires, at type-checking time, [f] to be a pure
total function. Named as in: OCaml *)
val mapi: (int -> 'a -> Tot 'b) -> list 'a -> Tot (list 'b)
let mapi f l = mapi_init f l 0
(** [concatMap f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. This is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. *)
val concatMap: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec concatMap f = function
| [] -> []
| a::tl ->
let fa = f a in
let ftl = concatMap f tl in
append fa ftl
(** [fold_left f x [y1; y2; ...; yn]] computes (f (... (f x y1) y2)
... yn). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq. *)
val fold_left: ('a -> 'b -> Tot 'a) -> 'a -> l:list 'b -> Tot 'a (decreases l)
let rec fold_left f x l = match l with
| [] -> x
| hd::tl -> fold_left f (f x hd) tl
(** [fold_right f [x1; x2; ...; xn] y] computes (f x1 (f x2 (... (f xn
y)) ... )). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq *)
val fold_right: ('a -> 'b -> Tot 'b) -> list 'a -> 'b -> Tot 'b
let rec fold_right f l x = match l with
| [] -> x
| hd::tl -> f hd (fold_right f tl x)
(** [fold_right_gtot] is just like [fold_right], except `f` is
a ghost function **)
let rec fold_right_gtot (#a:Type) (#b:Type) (l:list a) (f:a -> b -> GTot b) (x:b)
: GTot b
= match l with
| [] -> x
| hd::tl -> f hd (fold_right_gtot tl f x)
(* We define map in terms of fold, to share simple lemmas *)
let map_gtot #a #b (f:a -> GTot b) (x:list a)
: GTot (list b)
= fold_right_gtot x (fun x tl -> f x :: tl) []
(** [fold_left2 f x [y1; y2; ...; yn] [z1; z2; ...; zn]] computes (f
(... (f x y1 z1) y2 z2) ... yn zn). Requires, at type-checking time,
[f] to be a pure total function, and the lists [y1; y2; ...; yn] and
[z1; z2; ...; zn] to have the same lengths. Named as in: OCaml *)
val fold_left2 : f:('a -> 'b -> 'c -> Tot 'a) -> accu:'a -> l1:(list 'b) -> l2:(list 'c) ->
Pure 'a (requires (length l1 == length l2)) (ensures (fun _ -> True)) (decreases l1)
let rec fold_left2 f accu l1 l2 =
match (l1, l2) with
| ([], []) -> accu
| (a1::l1, a2::l2) -> fold_left2 f (f accu a1 a2) l1 l2
(** Propositional membership (as in Coq). Does not require decidable
equality. *)
(** [memP x l] holds if, and only if, [x] appears as an
element of [l]. Similar to: List.In in Coq. *)
let rec memP (#a: Type) (x: a) (l: list a) : Tot Type0 =
match l with
| [] -> False
| y :: q -> x == y \/ memP x q
(** List searching **)
(** [mem x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. Named as in: OCaml. See also:
List.In in Coq, which is propositional. *)
val mem: #a:eqtype -> a -> list a -> Tot bool
let rec mem #a x = function
| [] -> false
| hd::tl -> if hd = x then true else mem x tl
(** [contains x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. It is equivalent to: [mem x
l]. TODO: should we rather swap the order of arguments? *)
let contains : #a:eqtype -> a -> list a -> Tot bool = mem
(** [existsb f l] returns [true] if, and only if, there exists some
element [x] in [l] such that [f x] holds. *)
val existsb: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot bool
let rec existsb #a f l = match l with
| [] -> false
| hd::tl -> if f hd then true else existsb f tl
(** [find f l] returns [Some x] for some element [x] appearing in [l]
such that [f x] holds, or [None] only if no such [x] exists. *)
val find: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot (option (x:a{f x}))
let rec find #a f l = match l with
| [] -> None #(x:a{f x}) //These type annotations are only present because it makes bootstrapping go much faster
| hd::tl -> if f hd then Some #(x:a{f x}) hd else find f tl
(** Filtering elements of a list [l] through a Boolean pure total
predicate [f] *)
(** [filter f l] returns [l] with all elements [x] such that [f x]
does not hold removed. Requires, at type-checking time, [f] to be a
pure total function. Named as in: OCaml, Coq *)
val filter : #a: Type -> f:(a -> Tot bool) -> l: list a -> Tot (m:list a{forall x. memP x m ==> f x})
let rec filter #a f = function
| [] -> []
| hd::tl -> if f hd then hd::filter f tl else filter f tl
(** Postcondition on [filter f l]: for any element [x] of [filter f l],
[f x] holds. Requires, at type-checking time, [f] to be a pure total
function.*)
val mem_filter (#a:Type) (f: (a -> Tot bool)) (l: list a) (x: a) : Lemma
(requires (memP x (filter f l)))
(ensures (f x))
let mem_filter f l x = ()
(** Postcondition on [filter f l]: stated with [forall]: for any element
[x] of [filter f l], [f x] holds. Requires, at type-checking time, [f]
to be a pure total function. *)
val mem_filter_forall (#a:Type) (f: (a -> Tot bool)) (l: list a) : Lemma
(requires True)
(ensures (forall x . memP x (filter f l) ==> f x))
[SMTPat (filter f l)]
let mem_filter_forall f l = FStar.Classical.ghost_lemma (mem_filter f l)
(** [for_all f l] returns [true] if, and only if, for all elements [x]
appearing in [l], [f x] holds. Requires, at type-checking time, [f] to
be a pure total function. Named as in: OCaml. Similar to: List.forallb
in Coq *)
val for_all: ('a -> Tot bool) -> list 'a -> Tot bool
let rec for_all f l = match l with
| [] -> true
| hd::tl -> if f hd then for_all f tl else false
(** Specification for [for_all f l] vs. mem *)
let rec for_all_mem
(#a: Type)
(f: (a -> Tot bool))
(l: list a)
: Lemma
(for_all f l <==> (forall x . memP x l ==> f x))
= match l with
| [] -> ()
| _ :: q -> for_all_mem f q
(** [collect f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. It is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. TODO: what is
the difference with [concatMap]? *)
val collect: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec collect f l = match l with
| [] -> []
| hd::tl -> append (f hd) (collect f tl)
(** [tryFind f l] returns [Some x] for some element [x] appearing in
[l] such that [f x] holds, or [None] only if no such [x]
exists. Requires, at type-checking time, [f] to be a pure total
function. Contrary to [find], [tryFind] provides no postcondition on
its result. *)
val tryFind: ('a -> Tot bool) -> list 'a -> Tot (option 'a)
let rec tryFind p l = match l with
| [] -> None
| hd::tl -> if p hd then Some hd else tryFind p tl
(** [tryPick f l] returns [y] for some element [x] appearing in [l]
such that [f x = Some y] for some y, or [None] only if [f x = None]
for all elements [x] of [l]. Requires, at type-checking time, [f] to
be a pure total function. *)
val tryPick: ('a -> Tot (option 'b)) -> list 'a -> Tot (option 'b)
let rec tryPick f l = match l with
| [] -> None
| hd::tl ->
match f hd with
| Some x -> Some x
| None -> tryPick f tl
(** [choose f l] returns the list of [y] for all elements [x]
appearing in [l] such that [f x = Some y] for some [y]. Requires, at
type-checking time, [f] to be a pure total function. *)
val choose: ('a -> Tot (option 'b)) -> list 'a -> Tot (list 'b)
let rec choose f l = match l with
| [] -> []
| hd::tl ->
match f hd with
| Some x -> x::(choose f tl)
| None -> choose f tl
(** [partition f l] returns the pair of lists [(l1, l2)] where all
elements [x] of [l] are in [l1] if [f x] holds, and in [l2]
otherwise. Both [l1] and [l2] retain the original order of
[l]. Requires, at type-checking time, [f] to be a pure total
function. *)
val partition: f:('a -> Tot bool) -> list 'a -> Tot (list 'a * list 'a)
let rec partition f = function
| [] -> [], []
| hd::tl ->
let l1, l2 = partition f tl in
if f hd
then hd::l1, l2
else l1, hd::l2
(** [subset la lb] is true if and only if all the elements from [la]
are also in [lb]. Requires, at type-checking time, the type of
elements of [la] and [lb] to have decidable equality. *)
val subset: #a:eqtype -> list a -> list a -> Tot bool
let rec subset #a la lb =
match la with
| [] -> true
| h :: tl -> mem h lb && subset tl lb
(** [noRepeats l] returns [true] if, and only if, no element of [l]
appears in [l] more than once. Requires, at type-checking time, the
type of elements of [la] and [lb] to have decidable equality. *)
val noRepeats : #a:eqtype -> list a -> Tot bool
let rec noRepeats #a la =
match la with
| [] -> true
| h :: tl -> not(mem h tl) && noRepeats tl
(** [no_repeats_p l] valid if, and only if, no element of [l]
appears in [l] more than once. *)
val no_repeats_p : #a:Type -> list a -> Tot prop
let rec no_repeats_p #a la =
match la with
| [] -> True
| h :: tl -> ~(memP h tl) /\ no_repeats_p tl
(** List of tuples **)
(** [assoc x l] returns [Some y] where [(x, y)] is the first element
of [l] whose first element is [x], or [None] only if no such element
exists. Requires, at type-checking time, the type of [x] to have
decidable equality. Named as in: OCaml. *)
val assoc: #a:eqtype -> #b:Type -> a -> list (a * b) -> Tot (option b)
let rec assoc #a #b x = function
| [] -> None
| (x', y)::tl -> if x=x' then Some y else assoc x tl
(** [split] takes a list of pairs [(x1, y1), ..., (xn, yn)] and
returns the pair of lists ([x1, ..., xn], [y1, ..., yn]). Named as in:
OCaml *)
val split: list ('a * 'b) -> Tot (list 'a * list 'b)
let rec split l = match l with
| [] -> ([],[])
| (hd1,hd2)::tl ->
let (tl1,tl2) = split tl in
(hd1::tl1,hd2::tl2)
(** [unzip] takes a list of pairs [(x1, y1), ..., (xn, yn)] and
returns the pair of lists ([x1, ..., xn], [y1, ..., yn]). Named as in:
Haskell *)
let unzip l = split l
(** [unzip3] takes a list of triples [(x1, y1, z1), ..., (xn, yn, zn)]
and returns the triple of lists ([x1, ..., xn], [y1, ..., yn], [z1,
..., zn]). Named as in: Haskell *)
val unzip3: list ('a * 'b * 'c) -> Tot (list 'a * list 'b * list 'c)
let rec unzip3 l = match l with
| [] -> ([],[],[])
| (hd1,hd2,hd3)::tl ->
let (tl1,tl2,tl3) = unzip3 tl in
(hd1::tl1,hd2::tl2,hd3::tl3)
(** Splitting a list at some index **)
(** [splitAt] takes a natural number n and a list and returns a pair
of the maximal prefix of l of size smaller than n and the rest of
the list *)
let rec splitAt (#a:Type) (n:nat) (l:list a) : Tot (list a * list a) =
if n = 0 then [], l
else
match l with
| [] -> [], l
| x :: xs -> let l1, l2 = splitAt (n-1) xs in x :: l1, l2
let rec lemma_splitAt_snd_length (#a:Type) (n:nat) (l:list a) :
Lemma
(requires (n <= length l))
(ensures (length (snd (splitAt n l)) = length l - n)) =
match n, l with
| 0, _ -> ()
| _, [] -> ()
| _, _ :: l' -> lemma_splitAt_snd_length (n - 1) l'
(** [unsnoc] is an inverse of [snoc]. It splits a list into
all-elements-except-last and last element. *)
val unsnoc: #a:Type -> l:list a{length l > 0} -> Tot (list a * a)
let unsnoc #a l =
let l1, l2 = splitAt (length l - 1) l in
lemma_splitAt_snd_length (length l - 1) l;
l1, hd l2
(** [split3] splits a list into 3 parts. This allows easy access to
the part of the list before and after the element, as well as the
element itself. *)
val split3: #a:Type -> l:list a -> i:nat{i < length l} -> Tot (list a * a * list a)
let split3 #a l i =
let a, rest = splitAt i l in
lemma_splitAt_snd_length i l;
let b :: c = rest in
a, b, c
(** Sorting (implemented as quicksort) **)
(** [partition] splits a list [l] into two lists, the sum of whose
lengths is the length of [l]. *)
val partition_length: f:('a -> Tot bool)
-> l:list 'a
-> Lemma (requires True)
(ensures (length (fst (partition f l))
+ length (snd (partition f l)) = length l))
let rec partition_length f l = match l with
| [] -> ()
| hd::tl -> partition_length f tl
(** [bool_of_compare] turns a comparison function into a strict
order. More precisely, [bool_of_compare compare x y] returns true
if, and only if, [compare x y] is negative, meaning [x] precedes
[y] in the ordering defined by compare.
This is used in sorting, and is defined to be consistent with
OCaml and F#, where sorting is performed in ascending order.
*)
val bool_of_compare : #a:Type -> (a -> a -> Tot int) -> a -> a -> Tot bool
let bool_of_compare #a f x y = f x y < 0
(** [compare_of_bool] turns a strict order into a comparison
function. More precisely, [compare_of_bool rel x y] returns a positive
number if, and only if, x `rel` y holds. Inspired from OCaml, where
polymorphic comparison using both the [compare] function and the (>)
infix operator are such that [compare x y] is positive if, and only
if, x > y. Requires, at type-checking time, [rel] to be a pure total
function. *)
val compare_of_bool : #a:eqtype -> (a -> a -> Tot bool) -> a -> a -> Tot int
let compare_of_bool #a rel x y =
if x `rel` y then -1
else if x = y then 0
else 1
let compare_of_bool_of_compare (#a:eqtype) (f:a -> a -> Tot bool)
: Lemma (forall x y. bool_of_compare (compare_of_bool f) x y == f x y)
= ()
(** [sortWith compare l] returns the list [l'] containing the elements
of [l] sorted along the comparison function [compare], in such a
way that if [compare x y > 0], then [x] appears before [y] in
[l']. Sorts in ascending order *)
val sortWith: ('a -> 'a -> Tot int) -> l:list 'a -> Tot (list 'a) (decreases (length l))
let rec sortWith f = function
| [] -> []
| pivot::tl ->
let hi, lo = partition (bool_of_compare f pivot) tl in
partition_length (bool_of_compare f pivot) tl;
append (sortWith f lo) (pivot::sortWith f hi)
(** A l1 is a strict suffix of l2. *)
let rec strict_suffix_of (#a: Type) (l1 l2: list a)
: Pure Type0
(requires True)
(ensures (fun _ -> True))
(decreases l2)
= match l2 with
| [] -> False
| _ :: q -> l1 == q \/ l1 `strict_suffix_of` q | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.List.Tot.Base.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"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 | l1: Prims.list _ -> l2: Prims.list _ -> Prims.Pure Type0 | Prims.Pure | [
""
] | [] | [
"FStar.List.Tot.Base.strict_suffix_of",
"Prims.list",
"Prims.l_True"
] | [] | false | false | false | false | true | let strict_prefix_of =
| strict_suffix_of | false |
|
FStar.List.Tot.Base.fst | FStar.List.Tot.Base.tryFind | val tryFind: ('a -> Tot bool) -> list 'a -> Tot (option 'a) | val tryFind: ('a -> Tot bool) -> list 'a -> Tot (option 'a) | let rec tryFind p l = match l with
| [] -> None
| hd::tl -> if p hd then Some hd else tryFind p tl | {
"file_name": "ulib/FStar.List.Tot.Base.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 54,
"end_line": 336,
"start_col": 0,
"start_line": 334
} | (*
Copyright 2008-2014 Nikhil Swamy and 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.
*)
(**
This module defines all pure and total operations on lists that can be
used in specifications. It is implemented by FStar_List_Tot_Base.ml, any
functional change and/or the addition of new functions MUST be reflected
there.
@summary Pure total operations on lists
*)
module FStar.List.Tot.Base
(**
Base operations
*)
(** [isEmpty l] returns [true] if and only if [l] is empty *)
val isEmpty: list 'a -> Tot bool
let isEmpty l = match l with
| [] -> true
| _ -> false
(** [hd l] returns the first element of [l]. Requires [l] to be
nonempty, at type-checking time. Named as in: OCaml, F#, Coq *)
val hd: l:list 'a{Cons? l} -> Tot 'a
let hd = function
| hd::_ -> hd
(** [tail l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Similar to: tl in OCaml, F#, Coq
*)
val tail: l:list 'a {Cons? l} -> Tot (list 'a)
let tail = function
| _::tl -> tl
(** [tl l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Named as in: OCaml, F#, Coq
*)
val tl: l:list 'a {Cons? l} -> Tot (list 'a)
let tl = tail
(** [last l] returns the last element of [l]. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val last: l:list 'a {Cons? l} -> Tot 'a
let rec last = function
| [hd] -> hd
| _::tl -> last tl
(** [init l] returns [l] without its last element. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val init: l:list 'a {Cons? l} -> Tot (list 'a)
let rec init = function
| [_] -> []
| hd::tl -> hd::(init tl)
(** [length l] returns the total number of elements in [l]. Named as
in: OCaml, F#, Coq *)
val length: list 'a -> Tot nat
let rec length = function
| [] -> 0
| _::tl -> 1 + length tl
(** [nth l n] returns the [n]-th element in list [l] (with the first
element being the 0-th) if [l] is long enough, or [None]
otherwise. Named as in: OCaml, F#, Coq *)
val nth: list 'a -> nat -> Tot (option 'a)
let rec nth l n = match l with
| [] -> None
| hd::tl -> if n = 0 then Some hd else nth tl (n - 1)
(** [index l n] returns the [n]-th element in list [l] (with the first
element being the 0-th). Requires, at type-checking time, that [l] be
of length at least [n+1]. *)
val index: #a:Type -> l:list a -> i:nat{i < length l} -> Tot a
let rec index #a (l: list a) (i:nat{i < length l}): Tot a =
if i = 0 then
hd l
else
index (tl l) (i - 1)
(** [count x l] returns the number of occurrences of [x] in
[l]. Requires, at type-checking time, the type of [a] to have equality
defined. Similar to: [List.count_occ] in Coq. *)
val count: #a:eqtype -> a -> list a -> Tot nat
let rec count #a x = function
| [] -> 0
| hd::tl -> if x=hd then 1 + count x tl else count x tl
(** [rev_acc l1 l2] appends the elements of [l1] to the beginning of
[l2], in reverse order. It is equivalent to [append (rev l1) l2], but
is tail-recursive. Similar to: [List.rev_append] in OCaml, Coq. *)
val rev_acc: list 'a -> list 'a -> Tot (list 'a)
let rec rev_acc l acc = match l with
| [] -> acc
| hd::tl -> rev_acc tl (hd::acc)
(** [rev l] returns the list [l] in reverse order. Named as in: OCaml,
F#, Coq. *)
val rev: list 'a -> Tot (list 'a)
let rev l = rev_acc l []
(** [append l1 l2] appends the elements of [l2] to the end of [l1]. Named as: OCaml, F#. Similar to: [List.app] in Coq. *)
val append: list 'a -> list 'a -> Tot (list 'a)
let rec append x y = match x with
| [] -> y
| a::tl -> a::append tl y
(** Defines notation [@@] for [append], as in OCaml, F# . *)
let op_At x y = append x y
(** [snoc (l, x)] adds [x] to the end of the list [l].
Note: We use an uncurried [snoc (l, x)] instead of the curried
[snoc l x]. This is intentional. If [snoc] takes a pair instead
of 2 arguments, it allows for a better pattern on
[lemma_unsnoc_snoc], which connects [snoc] and [unsnoc]. In
particular, if we had two arguments, then either the pattern would
either be too restrictive or would lead to over-triggering. More
context for this can be seen in the (collapsed and uncollapsed)
comments at https://github.com/FStarLang/FStar/pull/1560 *)
val snoc: (list 'a * 'a) -> Tot (list 'a)
let snoc (l, x) = append l [x]
(** [flatten l], where [l] is a list of lists, returns the list of the
elements of the lists in [l], preserving their order. Named as in:
OCaml, Coq. *)
val flatten: list (list 'a) -> Tot (list 'a)
let rec flatten l = match l with
| [] -> []
| hd::tl -> append hd (flatten tl)
(** [map f l] applies [f] to each element of [l] and returns the list
of results, in the order of the original elements in [l]. Requires, at
type-checking time, [f] to be a pure total function. Named as in: OCaml, Coq, F# *)
val map: ('a -> Tot 'b) -> list 'a -> Tot (list 'b)
let rec map f x = match x with
| [] -> []
| a::tl -> f a::map f tl
(** [mapi_init f l n] applies, for each [k], [f (n+k)] to the [k]-th
element of [l] and returns the list of results, in the order of the
original elements in [l]. Requires, at type-checking time, [f] to be a
pure total function. *)
val mapi_init: (int -> 'a -> Tot 'b) -> list 'a -> int -> Tot (list 'b)
let rec mapi_init f l i = match l with
| [] -> []
| hd::tl -> (f i hd)::(mapi_init f tl (i+1))
(** [mapi f l] applies, for each [k], [f k] to the [k]-th element of
[l] and returns the list of results, in the order of the original
elements in [l]. Requires, at type-checking time, [f] to be a pure
total function. Named as in: OCaml *)
val mapi: (int -> 'a -> Tot 'b) -> list 'a -> Tot (list 'b)
let mapi f l = mapi_init f l 0
(** [concatMap f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. This is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. *)
val concatMap: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec concatMap f = function
| [] -> []
| a::tl ->
let fa = f a in
let ftl = concatMap f tl in
append fa ftl
(** [fold_left f x [y1; y2; ...; yn]] computes (f (... (f x y1) y2)
... yn). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq. *)
val fold_left: ('a -> 'b -> Tot 'a) -> 'a -> l:list 'b -> Tot 'a (decreases l)
let rec fold_left f x l = match l with
| [] -> x
| hd::tl -> fold_left f (f x hd) tl
(** [fold_right f [x1; x2; ...; xn] y] computes (f x1 (f x2 (... (f xn
y)) ... )). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq *)
val fold_right: ('a -> 'b -> Tot 'b) -> list 'a -> 'b -> Tot 'b
let rec fold_right f l x = match l with
| [] -> x
| hd::tl -> f hd (fold_right f tl x)
(** [fold_right_gtot] is just like [fold_right], except `f` is
a ghost function **)
let rec fold_right_gtot (#a:Type) (#b:Type) (l:list a) (f:a -> b -> GTot b) (x:b)
: GTot b
= match l with
| [] -> x
| hd::tl -> f hd (fold_right_gtot tl f x)
(* We define map in terms of fold, to share simple lemmas *)
let map_gtot #a #b (f:a -> GTot b) (x:list a)
: GTot (list b)
= fold_right_gtot x (fun x tl -> f x :: tl) []
(** [fold_left2 f x [y1; y2; ...; yn] [z1; z2; ...; zn]] computes (f
(... (f x y1 z1) y2 z2) ... yn zn). Requires, at type-checking time,
[f] to be a pure total function, and the lists [y1; y2; ...; yn] and
[z1; z2; ...; zn] to have the same lengths. Named as in: OCaml *)
val fold_left2 : f:('a -> 'b -> 'c -> Tot 'a) -> accu:'a -> l1:(list 'b) -> l2:(list 'c) ->
Pure 'a (requires (length l1 == length l2)) (ensures (fun _ -> True)) (decreases l1)
let rec fold_left2 f accu l1 l2 =
match (l1, l2) with
| ([], []) -> accu
| (a1::l1, a2::l2) -> fold_left2 f (f accu a1 a2) l1 l2
(** Propositional membership (as in Coq). Does not require decidable
equality. *)
(** [memP x l] holds if, and only if, [x] appears as an
element of [l]. Similar to: List.In in Coq. *)
let rec memP (#a: Type) (x: a) (l: list a) : Tot Type0 =
match l with
| [] -> False
| y :: q -> x == y \/ memP x q
(** List searching **)
(** [mem x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. Named as in: OCaml. See also:
List.In in Coq, which is propositional. *)
val mem: #a:eqtype -> a -> list a -> Tot bool
let rec mem #a x = function
| [] -> false
| hd::tl -> if hd = x then true else mem x tl
(** [contains x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. It is equivalent to: [mem x
l]. TODO: should we rather swap the order of arguments? *)
let contains : #a:eqtype -> a -> list a -> Tot bool = mem
(** [existsb f l] returns [true] if, and only if, there exists some
element [x] in [l] such that [f x] holds. *)
val existsb: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot bool
let rec existsb #a f l = match l with
| [] -> false
| hd::tl -> if f hd then true else existsb f tl
(** [find f l] returns [Some x] for some element [x] appearing in [l]
such that [f x] holds, or [None] only if no such [x] exists. *)
val find: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot (option (x:a{f x}))
let rec find #a f l = match l with
| [] -> None #(x:a{f x}) //These type annotations are only present because it makes bootstrapping go much faster
| hd::tl -> if f hd then Some #(x:a{f x}) hd else find f tl
(** Filtering elements of a list [l] through a Boolean pure total
predicate [f] *)
(** [filter f l] returns [l] with all elements [x] such that [f x]
does not hold removed. Requires, at type-checking time, [f] to be a
pure total function. Named as in: OCaml, Coq *)
val filter : #a: Type -> f:(a -> Tot bool) -> l: list a -> Tot (m:list a{forall x. memP x m ==> f x})
let rec filter #a f = function
| [] -> []
| hd::tl -> if f hd then hd::filter f tl else filter f tl
(** Postcondition on [filter f l]: for any element [x] of [filter f l],
[f x] holds. Requires, at type-checking time, [f] to be a pure total
function.*)
val mem_filter (#a:Type) (f: (a -> Tot bool)) (l: list a) (x: a) : Lemma
(requires (memP x (filter f l)))
(ensures (f x))
let mem_filter f l x = ()
(** Postcondition on [filter f l]: stated with [forall]: for any element
[x] of [filter f l], [f x] holds. Requires, at type-checking time, [f]
to be a pure total function. *)
val mem_filter_forall (#a:Type) (f: (a -> Tot bool)) (l: list a) : Lemma
(requires True)
(ensures (forall x . memP x (filter f l) ==> f x))
[SMTPat (filter f l)]
let mem_filter_forall f l = FStar.Classical.ghost_lemma (mem_filter f l)
(** [for_all f l] returns [true] if, and only if, for all elements [x]
appearing in [l], [f x] holds. Requires, at type-checking time, [f] to
be a pure total function. Named as in: OCaml. Similar to: List.forallb
in Coq *)
val for_all: ('a -> Tot bool) -> list 'a -> Tot bool
let rec for_all f l = match l with
| [] -> true
| hd::tl -> if f hd then for_all f tl else false
(** Specification for [for_all f l] vs. mem *)
let rec for_all_mem
(#a: Type)
(f: (a -> Tot bool))
(l: list a)
: Lemma
(for_all f l <==> (forall x . memP x l ==> f x))
= match l with
| [] -> ()
| _ :: q -> for_all_mem f q
(** [collect f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. It is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. TODO: what is
the difference with [concatMap]? *)
val collect: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec collect f l = match l with
| [] -> []
| hd::tl -> append (f hd) (collect f tl)
(** [tryFind f l] returns [Some x] for some element [x] appearing in
[l] such that [f x] holds, or [None] only if no such [x]
exists. Requires, at type-checking time, [f] to be a pure total
function. Contrary to [find], [tryFind] provides no postcondition on
its result. *) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.List.Tot.Base.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"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 | p: (_: 'a -> Prims.bool) -> l: Prims.list 'a -> FStar.Pervasives.Native.option 'a | Prims.Tot | [
"total"
] | [] | [
"Prims.bool",
"Prims.list",
"FStar.Pervasives.Native.None",
"FStar.Pervasives.Native.Some",
"FStar.List.Tot.Base.tryFind",
"FStar.Pervasives.Native.option"
] | [
"recursion"
] | false | false | false | true | false | let rec tryFind p l =
| match l with
| [] -> None
| hd :: tl -> if p hd then Some hd else tryFind p tl | false |
FStar.List.Tot.Base.fst | FStar.List.Tot.Base.choose | val choose: ('a -> Tot (option 'b)) -> list 'a -> Tot (list 'b) | val choose: ('a -> Tot (option 'b)) -> list 'a -> Tot (list 'b) | let rec choose f l = match l with
| [] -> []
| hd::tl ->
match f hd with
| Some x -> x::(choose f tl)
| None -> choose f tl | {
"file_name": "ulib/FStar.List.Tot.Base.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 30,
"end_line": 359,
"start_col": 0,
"start_line": 354
} | (*
Copyright 2008-2014 Nikhil Swamy and 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.
*)
(**
This module defines all pure and total operations on lists that can be
used in specifications. It is implemented by FStar_List_Tot_Base.ml, any
functional change and/or the addition of new functions MUST be reflected
there.
@summary Pure total operations on lists
*)
module FStar.List.Tot.Base
(**
Base operations
*)
(** [isEmpty l] returns [true] if and only if [l] is empty *)
val isEmpty: list 'a -> Tot bool
let isEmpty l = match l with
| [] -> true
| _ -> false
(** [hd l] returns the first element of [l]. Requires [l] to be
nonempty, at type-checking time. Named as in: OCaml, F#, Coq *)
val hd: l:list 'a{Cons? l} -> Tot 'a
let hd = function
| hd::_ -> hd
(** [tail l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Similar to: tl in OCaml, F#, Coq
*)
val tail: l:list 'a {Cons? l} -> Tot (list 'a)
let tail = function
| _::tl -> tl
(** [tl l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Named as in: OCaml, F#, Coq
*)
val tl: l:list 'a {Cons? l} -> Tot (list 'a)
let tl = tail
(** [last l] returns the last element of [l]. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val last: l:list 'a {Cons? l} -> Tot 'a
let rec last = function
| [hd] -> hd
| _::tl -> last tl
(** [init l] returns [l] without its last element. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val init: l:list 'a {Cons? l} -> Tot (list 'a)
let rec init = function
| [_] -> []
| hd::tl -> hd::(init tl)
(** [length l] returns the total number of elements in [l]. Named as
in: OCaml, F#, Coq *)
val length: list 'a -> Tot nat
let rec length = function
| [] -> 0
| _::tl -> 1 + length tl
(** [nth l n] returns the [n]-th element in list [l] (with the first
element being the 0-th) if [l] is long enough, or [None]
otherwise. Named as in: OCaml, F#, Coq *)
val nth: list 'a -> nat -> Tot (option 'a)
let rec nth l n = match l with
| [] -> None
| hd::tl -> if n = 0 then Some hd else nth tl (n - 1)
(** [index l n] returns the [n]-th element in list [l] (with the first
element being the 0-th). Requires, at type-checking time, that [l] be
of length at least [n+1]. *)
val index: #a:Type -> l:list a -> i:nat{i < length l} -> Tot a
let rec index #a (l: list a) (i:nat{i < length l}): Tot a =
if i = 0 then
hd l
else
index (tl l) (i - 1)
(** [count x l] returns the number of occurrences of [x] in
[l]. Requires, at type-checking time, the type of [a] to have equality
defined. Similar to: [List.count_occ] in Coq. *)
val count: #a:eqtype -> a -> list a -> Tot nat
let rec count #a x = function
| [] -> 0
| hd::tl -> if x=hd then 1 + count x tl else count x tl
(** [rev_acc l1 l2] appends the elements of [l1] to the beginning of
[l2], in reverse order. It is equivalent to [append (rev l1) l2], but
is tail-recursive. Similar to: [List.rev_append] in OCaml, Coq. *)
val rev_acc: list 'a -> list 'a -> Tot (list 'a)
let rec rev_acc l acc = match l with
| [] -> acc
| hd::tl -> rev_acc tl (hd::acc)
(** [rev l] returns the list [l] in reverse order. Named as in: OCaml,
F#, Coq. *)
val rev: list 'a -> Tot (list 'a)
let rev l = rev_acc l []
(** [append l1 l2] appends the elements of [l2] to the end of [l1]. Named as: OCaml, F#. Similar to: [List.app] in Coq. *)
val append: list 'a -> list 'a -> Tot (list 'a)
let rec append x y = match x with
| [] -> y
| a::tl -> a::append tl y
(** Defines notation [@@] for [append], as in OCaml, F# . *)
let op_At x y = append x y
(** [snoc (l, x)] adds [x] to the end of the list [l].
Note: We use an uncurried [snoc (l, x)] instead of the curried
[snoc l x]. This is intentional. If [snoc] takes a pair instead
of 2 arguments, it allows for a better pattern on
[lemma_unsnoc_snoc], which connects [snoc] and [unsnoc]. In
particular, if we had two arguments, then either the pattern would
either be too restrictive or would lead to over-triggering. More
context for this can be seen in the (collapsed and uncollapsed)
comments at https://github.com/FStarLang/FStar/pull/1560 *)
val snoc: (list 'a * 'a) -> Tot (list 'a)
let snoc (l, x) = append l [x]
(** [flatten l], where [l] is a list of lists, returns the list of the
elements of the lists in [l], preserving their order. Named as in:
OCaml, Coq. *)
val flatten: list (list 'a) -> Tot (list 'a)
let rec flatten l = match l with
| [] -> []
| hd::tl -> append hd (flatten tl)
(** [map f l] applies [f] to each element of [l] and returns the list
of results, in the order of the original elements in [l]. Requires, at
type-checking time, [f] to be a pure total function. Named as in: OCaml, Coq, F# *)
val map: ('a -> Tot 'b) -> list 'a -> Tot (list 'b)
let rec map f x = match x with
| [] -> []
| a::tl -> f a::map f tl
(** [mapi_init f l n] applies, for each [k], [f (n+k)] to the [k]-th
element of [l] and returns the list of results, in the order of the
original elements in [l]. Requires, at type-checking time, [f] to be a
pure total function. *)
val mapi_init: (int -> 'a -> Tot 'b) -> list 'a -> int -> Tot (list 'b)
let rec mapi_init f l i = match l with
| [] -> []
| hd::tl -> (f i hd)::(mapi_init f tl (i+1))
(** [mapi f l] applies, for each [k], [f k] to the [k]-th element of
[l] and returns the list of results, in the order of the original
elements in [l]. Requires, at type-checking time, [f] to be a pure
total function. Named as in: OCaml *)
val mapi: (int -> 'a -> Tot 'b) -> list 'a -> Tot (list 'b)
let mapi f l = mapi_init f l 0
(** [concatMap f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. This is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. *)
val concatMap: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec concatMap f = function
| [] -> []
| a::tl ->
let fa = f a in
let ftl = concatMap f tl in
append fa ftl
(** [fold_left f x [y1; y2; ...; yn]] computes (f (... (f x y1) y2)
... yn). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq. *)
val fold_left: ('a -> 'b -> Tot 'a) -> 'a -> l:list 'b -> Tot 'a (decreases l)
let rec fold_left f x l = match l with
| [] -> x
| hd::tl -> fold_left f (f x hd) tl
(** [fold_right f [x1; x2; ...; xn] y] computes (f x1 (f x2 (... (f xn
y)) ... )). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq *)
val fold_right: ('a -> 'b -> Tot 'b) -> list 'a -> 'b -> Tot 'b
let rec fold_right f l x = match l with
| [] -> x
| hd::tl -> f hd (fold_right f tl x)
(** [fold_right_gtot] is just like [fold_right], except `f` is
a ghost function **)
let rec fold_right_gtot (#a:Type) (#b:Type) (l:list a) (f:a -> b -> GTot b) (x:b)
: GTot b
= match l with
| [] -> x
| hd::tl -> f hd (fold_right_gtot tl f x)
(* We define map in terms of fold, to share simple lemmas *)
let map_gtot #a #b (f:a -> GTot b) (x:list a)
: GTot (list b)
= fold_right_gtot x (fun x tl -> f x :: tl) []
(** [fold_left2 f x [y1; y2; ...; yn] [z1; z2; ...; zn]] computes (f
(... (f x y1 z1) y2 z2) ... yn zn). Requires, at type-checking time,
[f] to be a pure total function, and the lists [y1; y2; ...; yn] and
[z1; z2; ...; zn] to have the same lengths. Named as in: OCaml *)
val fold_left2 : f:('a -> 'b -> 'c -> Tot 'a) -> accu:'a -> l1:(list 'b) -> l2:(list 'c) ->
Pure 'a (requires (length l1 == length l2)) (ensures (fun _ -> True)) (decreases l1)
let rec fold_left2 f accu l1 l2 =
match (l1, l2) with
| ([], []) -> accu
| (a1::l1, a2::l2) -> fold_left2 f (f accu a1 a2) l1 l2
(** Propositional membership (as in Coq). Does not require decidable
equality. *)
(** [memP x l] holds if, and only if, [x] appears as an
element of [l]. Similar to: List.In in Coq. *)
let rec memP (#a: Type) (x: a) (l: list a) : Tot Type0 =
match l with
| [] -> False
| y :: q -> x == y \/ memP x q
(** List searching **)
(** [mem x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. Named as in: OCaml. See also:
List.In in Coq, which is propositional. *)
val mem: #a:eqtype -> a -> list a -> Tot bool
let rec mem #a x = function
| [] -> false
| hd::tl -> if hd = x then true else mem x tl
(** [contains x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. It is equivalent to: [mem x
l]. TODO: should we rather swap the order of arguments? *)
let contains : #a:eqtype -> a -> list a -> Tot bool = mem
(** [existsb f l] returns [true] if, and only if, there exists some
element [x] in [l] such that [f x] holds. *)
val existsb: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot bool
let rec existsb #a f l = match l with
| [] -> false
| hd::tl -> if f hd then true else existsb f tl
(** [find f l] returns [Some x] for some element [x] appearing in [l]
such that [f x] holds, or [None] only if no such [x] exists. *)
val find: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot (option (x:a{f x}))
let rec find #a f l = match l with
| [] -> None #(x:a{f x}) //These type annotations are only present because it makes bootstrapping go much faster
| hd::tl -> if f hd then Some #(x:a{f x}) hd else find f tl
(** Filtering elements of a list [l] through a Boolean pure total
predicate [f] *)
(** [filter f l] returns [l] with all elements [x] such that [f x]
does not hold removed. Requires, at type-checking time, [f] to be a
pure total function. Named as in: OCaml, Coq *)
val filter : #a: Type -> f:(a -> Tot bool) -> l: list a -> Tot (m:list a{forall x. memP x m ==> f x})
let rec filter #a f = function
| [] -> []
| hd::tl -> if f hd then hd::filter f tl else filter f tl
(** Postcondition on [filter f l]: for any element [x] of [filter f l],
[f x] holds. Requires, at type-checking time, [f] to be a pure total
function.*)
val mem_filter (#a:Type) (f: (a -> Tot bool)) (l: list a) (x: a) : Lemma
(requires (memP x (filter f l)))
(ensures (f x))
let mem_filter f l x = ()
(** Postcondition on [filter f l]: stated with [forall]: for any element
[x] of [filter f l], [f x] holds. Requires, at type-checking time, [f]
to be a pure total function. *)
val mem_filter_forall (#a:Type) (f: (a -> Tot bool)) (l: list a) : Lemma
(requires True)
(ensures (forall x . memP x (filter f l) ==> f x))
[SMTPat (filter f l)]
let mem_filter_forall f l = FStar.Classical.ghost_lemma (mem_filter f l)
(** [for_all f l] returns [true] if, and only if, for all elements [x]
appearing in [l], [f x] holds. Requires, at type-checking time, [f] to
be a pure total function. Named as in: OCaml. Similar to: List.forallb
in Coq *)
val for_all: ('a -> Tot bool) -> list 'a -> Tot bool
let rec for_all f l = match l with
| [] -> true
| hd::tl -> if f hd then for_all f tl else false
(** Specification for [for_all f l] vs. mem *)
let rec for_all_mem
(#a: Type)
(f: (a -> Tot bool))
(l: list a)
: Lemma
(for_all f l <==> (forall x . memP x l ==> f x))
= match l with
| [] -> ()
| _ :: q -> for_all_mem f q
(** [collect f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. It is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. TODO: what is
the difference with [concatMap]? *)
val collect: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec collect f l = match l with
| [] -> []
| hd::tl -> append (f hd) (collect f tl)
(** [tryFind f l] returns [Some x] for some element [x] appearing in
[l] such that [f x] holds, or [None] only if no such [x]
exists. Requires, at type-checking time, [f] to be a pure total
function. Contrary to [find], [tryFind] provides no postcondition on
its result. *)
val tryFind: ('a -> Tot bool) -> list 'a -> Tot (option 'a)
let rec tryFind p l = match l with
| [] -> None
| hd::tl -> if p hd then Some hd else tryFind p tl
(** [tryPick f l] returns [y] for some element [x] appearing in [l]
such that [f x = Some y] for some y, or [None] only if [f x = None]
for all elements [x] of [l]. Requires, at type-checking time, [f] to
be a pure total function. *)
val tryPick: ('a -> Tot (option 'b)) -> list 'a -> Tot (option 'b)
let rec tryPick f l = match l with
| [] -> None
| hd::tl ->
match f hd with
| Some x -> Some x
| None -> tryPick f tl
(** [choose f l] returns the list of [y] for all elements [x]
appearing in [l] such that [f x = Some y] for some [y]. Requires, at
type-checking time, [f] to be a pure total function. *) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.List.Tot.Base.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"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 | f: (_: 'a -> FStar.Pervasives.Native.option 'b) -> l: Prims.list 'a -> Prims.list 'b | Prims.Tot | [
"total"
] | [] | [
"FStar.Pervasives.Native.option",
"Prims.list",
"Prims.Nil",
"Prims.Cons",
"FStar.List.Tot.Base.choose"
] | [
"recursion"
] | false | false | false | true | false | let rec choose f l =
| match l with
| [] -> []
| hd :: tl ->
match f hd with
| Some x -> x :: (choose f tl)
| None -> choose f tl | false |
FStar.List.Tot.Base.fst | FStar.List.Tot.Base.partition | val partition: f:('a -> Tot bool) -> list 'a -> Tot (list 'a * list 'a) | val partition: f:('a -> Tot bool) -> list 'a -> Tot (list 'a * list 'a) | let rec partition f = function
| [] -> [], []
| hd::tl ->
let l1, l2 = partition f tl in
if f hd
then hd::l1, l2
else l1, hd::l2 | {
"file_name": "ulib/FStar.List.Tot.Base.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 20,
"end_line": 373,
"start_col": 0,
"start_line": 367
} | (*
Copyright 2008-2014 Nikhil Swamy and 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.
*)
(**
This module defines all pure and total operations on lists that can be
used in specifications. It is implemented by FStar_List_Tot_Base.ml, any
functional change and/or the addition of new functions MUST be reflected
there.
@summary Pure total operations on lists
*)
module FStar.List.Tot.Base
(**
Base operations
*)
(** [isEmpty l] returns [true] if and only if [l] is empty *)
val isEmpty: list 'a -> Tot bool
let isEmpty l = match l with
| [] -> true
| _ -> false
(** [hd l] returns the first element of [l]. Requires [l] to be
nonempty, at type-checking time. Named as in: OCaml, F#, Coq *)
val hd: l:list 'a{Cons? l} -> Tot 'a
let hd = function
| hd::_ -> hd
(** [tail l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Similar to: tl in OCaml, F#, Coq
*)
val tail: l:list 'a {Cons? l} -> Tot (list 'a)
let tail = function
| _::tl -> tl
(** [tl l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Named as in: OCaml, F#, Coq
*)
val tl: l:list 'a {Cons? l} -> Tot (list 'a)
let tl = tail
(** [last l] returns the last element of [l]. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val last: l:list 'a {Cons? l} -> Tot 'a
let rec last = function
| [hd] -> hd
| _::tl -> last tl
(** [init l] returns [l] without its last element. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val init: l:list 'a {Cons? l} -> Tot (list 'a)
let rec init = function
| [_] -> []
| hd::tl -> hd::(init tl)
(** [length l] returns the total number of elements in [l]. Named as
in: OCaml, F#, Coq *)
val length: list 'a -> Tot nat
let rec length = function
| [] -> 0
| _::tl -> 1 + length tl
(** [nth l n] returns the [n]-th element in list [l] (with the first
element being the 0-th) if [l] is long enough, or [None]
otherwise. Named as in: OCaml, F#, Coq *)
val nth: list 'a -> nat -> Tot (option 'a)
let rec nth l n = match l with
| [] -> None
| hd::tl -> if n = 0 then Some hd else nth tl (n - 1)
(** [index l n] returns the [n]-th element in list [l] (with the first
element being the 0-th). Requires, at type-checking time, that [l] be
of length at least [n+1]. *)
val index: #a:Type -> l:list a -> i:nat{i < length l} -> Tot a
let rec index #a (l: list a) (i:nat{i < length l}): Tot a =
if i = 0 then
hd l
else
index (tl l) (i - 1)
(** [count x l] returns the number of occurrences of [x] in
[l]. Requires, at type-checking time, the type of [a] to have equality
defined. Similar to: [List.count_occ] in Coq. *)
val count: #a:eqtype -> a -> list a -> Tot nat
let rec count #a x = function
| [] -> 0
| hd::tl -> if x=hd then 1 + count x tl else count x tl
(** [rev_acc l1 l2] appends the elements of [l1] to the beginning of
[l2], in reverse order. It is equivalent to [append (rev l1) l2], but
is tail-recursive. Similar to: [List.rev_append] in OCaml, Coq. *)
val rev_acc: list 'a -> list 'a -> Tot (list 'a)
let rec rev_acc l acc = match l with
| [] -> acc
| hd::tl -> rev_acc tl (hd::acc)
(** [rev l] returns the list [l] in reverse order. Named as in: OCaml,
F#, Coq. *)
val rev: list 'a -> Tot (list 'a)
let rev l = rev_acc l []
(** [append l1 l2] appends the elements of [l2] to the end of [l1]. Named as: OCaml, F#. Similar to: [List.app] in Coq. *)
val append: list 'a -> list 'a -> Tot (list 'a)
let rec append x y = match x with
| [] -> y
| a::tl -> a::append tl y
(** Defines notation [@@] for [append], as in OCaml, F# . *)
let op_At x y = append x y
(** [snoc (l, x)] adds [x] to the end of the list [l].
Note: We use an uncurried [snoc (l, x)] instead of the curried
[snoc l x]. This is intentional. If [snoc] takes a pair instead
of 2 arguments, it allows for a better pattern on
[lemma_unsnoc_snoc], which connects [snoc] and [unsnoc]. In
particular, if we had two arguments, then either the pattern would
either be too restrictive or would lead to over-triggering. More
context for this can be seen in the (collapsed and uncollapsed)
comments at https://github.com/FStarLang/FStar/pull/1560 *)
val snoc: (list 'a * 'a) -> Tot (list 'a)
let snoc (l, x) = append l [x]
(** [flatten l], where [l] is a list of lists, returns the list of the
elements of the lists in [l], preserving their order. Named as in:
OCaml, Coq. *)
val flatten: list (list 'a) -> Tot (list 'a)
let rec flatten l = match l with
| [] -> []
| hd::tl -> append hd (flatten tl)
(** [map f l] applies [f] to each element of [l] and returns the list
of results, in the order of the original elements in [l]. Requires, at
type-checking time, [f] to be a pure total function. Named as in: OCaml, Coq, F# *)
val map: ('a -> Tot 'b) -> list 'a -> Tot (list 'b)
let rec map f x = match x with
| [] -> []
| a::tl -> f a::map f tl
(** [mapi_init f l n] applies, for each [k], [f (n+k)] to the [k]-th
element of [l] and returns the list of results, in the order of the
original elements in [l]. Requires, at type-checking time, [f] to be a
pure total function. *)
val mapi_init: (int -> 'a -> Tot 'b) -> list 'a -> int -> Tot (list 'b)
let rec mapi_init f l i = match l with
| [] -> []
| hd::tl -> (f i hd)::(mapi_init f tl (i+1))
(** [mapi f l] applies, for each [k], [f k] to the [k]-th element of
[l] and returns the list of results, in the order of the original
elements in [l]. Requires, at type-checking time, [f] to be a pure
total function. Named as in: OCaml *)
val mapi: (int -> 'a -> Tot 'b) -> list 'a -> Tot (list 'b)
let mapi f l = mapi_init f l 0
(** [concatMap f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. This is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. *)
val concatMap: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec concatMap f = function
| [] -> []
| a::tl ->
let fa = f a in
let ftl = concatMap f tl in
append fa ftl
(** [fold_left f x [y1; y2; ...; yn]] computes (f (... (f x y1) y2)
... yn). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq. *)
val fold_left: ('a -> 'b -> Tot 'a) -> 'a -> l:list 'b -> Tot 'a (decreases l)
let rec fold_left f x l = match l with
| [] -> x
| hd::tl -> fold_left f (f x hd) tl
(** [fold_right f [x1; x2; ...; xn] y] computes (f x1 (f x2 (... (f xn
y)) ... )). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq *)
val fold_right: ('a -> 'b -> Tot 'b) -> list 'a -> 'b -> Tot 'b
let rec fold_right f l x = match l with
| [] -> x
| hd::tl -> f hd (fold_right f tl x)
(** [fold_right_gtot] is just like [fold_right], except `f` is
a ghost function **)
let rec fold_right_gtot (#a:Type) (#b:Type) (l:list a) (f:a -> b -> GTot b) (x:b)
: GTot b
= match l with
| [] -> x
| hd::tl -> f hd (fold_right_gtot tl f x)
(* We define map in terms of fold, to share simple lemmas *)
let map_gtot #a #b (f:a -> GTot b) (x:list a)
: GTot (list b)
= fold_right_gtot x (fun x tl -> f x :: tl) []
(** [fold_left2 f x [y1; y2; ...; yn] [z1; z2; ...; zn]] computes (f
(... (f x y1 z1) y2 z2) ... yn zn). Requires, at type-checking time,
[f] to be a pure total function, and the lists [y1; y2; ...; yn] and
[z1; z2; ...; zn] to have the same lengths. Named as in: OCaml *)
val fold_left2 : f:('a -> 'b -> 'c -> Tot 'a) -> accu:'a -> l1:(list 'b) -> l2:(list 'c) ->
Pure 'a (requires (length l1 == length l2)) (ensures (fun _ -> True)) (decreases l1)
let rec fold_left2 f accu l1 l2 =
match (l1, l2) with
| ([], []) -> accu
| (a1::l1, a2::l2) -> fold_left2 f (f accu a1 a2) l1 l2
(** Propositional membership (as in Coq). Does not require decidable
equality. *)
(** [memP x l] holds if, and only if, [x] appears as an
element of [l]. Similar to: List.In in Coq. *)
let rec memP (#a: Type) (x: a) (l: list a) : Tot Type0 =
match l with
| [] -> False
| y :: q -> x == y \/ memP x q
(** List searching **)
(** [mem x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. Named as in: OCaml. See also:
List.In in Coq, which is propositional. *)
val mem: #a:eqtype -> a -> list a -> Tot bool
let rec mem #a x = function
| [] -> false
| hd::tl -> if hd = x then true else mem x tl
(** [contains x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. It is equivalent to: [mem x
l]. TODO: should we rather swap the order of arguments? *)
let contains : #a:eqtype -> a -> list a -> Tot bool = mem
(** [existsb f l] returns [true] if, and only if, there exists some
element [x] in [l] such that [f x] holds. *)
val existsb: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot bool
let rec existsb #a f l = match l with
| [] -> false
| hd::tl -> if f hd then true else existsb f tl
(** [find f l] returns [Some x] for some element [x] appearing in [l]
such that [f x] holds, or [None] only if no such [x] exists. *)
val find: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot (option (x:a{f x}))
let rec find #a f l = match l with
| [] -> None #(x:a{f x}) //These type annotations are only present because it makes bootstrapping go much faster
| hd::tl -> if f hd then Some #(x:a{f x}) hd else find f tl
(** Filtering elements of a list [l] through a Boolean pure total
predicate [f] *)
(** [filter f l] returns [l] with all elements [x] such that [f x]
does not hold removed. Requires, at type-checking time, [f] to be a
pure total function. Named as in: OCaml, Coq *)
val filter : #a: Type -> f:(a -> Tot bool) -> l: list a -> Tot (m:list a{forall x. memP x m ==> f x})
let rec filter #a f = function
| [] -> []
| hd::tl -> if f hd then hd::filter f tl else filter f tl
(** Postcondition on [filter f l]: for any element [x] of [filter f l],
[f x] holds. Requires, at type-checking time, [f] to be a pure total
function.*)
val mem_filter (#a:Type) (f: (a -> Tot bool)) (l: list a) (x: a) : Lemma
(requires (memP x (filter f l)))
(ensures (f x))
let mem_filter f l x = ()
(** Postcondition on [filter f l]: stated with [forall]: for any element
[x] of [filter f l], [f x] holds. Requires, at type-checking time, [f]
to be a pure total function. *)
val mem_filter_forall (#a:Type) (f: (a -> Tot bool)) (l: list a) : Lemma
(requires True)
(ensures (forall x . memP x (filter f l) ==> f x))
[SMTPat (filter f l)]
let mem_filter_forall f l = FStar.Classical.ghost_lemma (mem_filter f l)
(** [for_all f l] returns [true] if, and only if, for all elements [x]
appearing in [l], [f x] holds. Requires, at type-checking time, [f] to
be a pure total function. Named as in: OCaml. Similar to: List.forallb
in Coq *)
val for_all: ('a -> Tot bool) -> list 'a -> Tot bool
let rec for_all f l = match l with
| [] -> true
| hd::tl -> if f hd then for_all f tl else false
(** Specification for [for_all f l] vs. mem *)
let rec for_all_mem
(#a: Type)
(f: (a -> Tot bool))
(l: list a)
: Lemma
(for_all f l <==> (forall x . memP x l ==> f x))
= match l with
| [] -> ()
| _ :: q -> for_all_mem f q
(** [collect f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. It is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. TODO: what is
the difference with [concatMap]? *)
val collect: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec collect f l = match l with
| [] -> []
| hd::tl -> append (f hd) (collect f tl)
(** [tryFind f l] returns [Some x] for some element [x] appearing in
[l] such that [f x] holds, or [None] only if no such [x]
exists. Requires, at type-checking time, [f] to be a pure total
function. Contrary to [find], [tryFind] provides no postcondition on
its result. *)
val tryFind: ('a -> Tot bool) -> list 'a -> Tot (option 'a)
let rec tryFind p l = match l with
| [] -> None
| hd::tl -> if p hd then Some hd else tryFind p tl
(** [tryPick f l] returns [y] for some element [x] appearing in [l]
such that [f x = Some y] for some y, or [None] only if [f x = None]
for all elements [x] of [l]. Requires, at type-checking time, [f] to
be a pure total function. *)
val tryPick: ('a -> Tot (option 'b)) -> list 'a -> Tot (option 'b)
let rec tryPick f l = match l with
| [] -> None
| hd::tl ->
match f hd with
| Some x -> Some x
| None -> tryPick f tl
(** [choose f l] returns the list of [y] for all elements [x]
appearing in [l] such that [f x = Some y] for some [y]. Requires, at
type-checking time, [f] to be a pure total function. *)
val choose: ('a -> Tot (option 'b)) -> list 'a -> Tot (list 'b)
let rec choose f l = match l with
| [] -> []
| hd::tl ->
match f hd with
| Some x -> x::(choose f tl)
| None -> choose f tl
(** [partition f l] returns the pair of lists [(l1, l2)] where all
elements [x] of [l] are in [l1] if [f x] holds, and in [l2]
otherwise. Both [l1] and [l2] retain the original order of
[l]. Requires, at type-checking time, [f] to be a pure total
function. *) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.List.Tot.Base.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"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 | f: (_: 'a -> Prims.bool) -> _: Prims.list 'a -> Prims.list 'a * Prims.list 'a | Prims.Tot | [
"total"
] | [] | [
"Prims.bool",
"Prims.list",
"FStar.Pervasives.Native.Mktuple2",
"Prims.Nil",
"Prims.Cons",
"FStar.Pervasives.Native.tuple2",
"FStar.List.Tot.Base.partition"
] | [
"recursion"
] | false | false | false | true | false | let rec partition f =
| function
| [] -> [], []
| hd :: tl ->
let l1, l2 = partition f tl in
if f hd then hd :: l1, l2 else l1, hd :: l2 | false |
FStar.List.Tot.Base.fst | FStar.List.Tot.Base.noRepeats | val noRepeats : #a:eqtype -> list a -> Tot bool | val noRepeats : #a:eqtype -> list a -> Tot bool | let rec noRepeats #a la =
match la with
| [] -> true
| h :: tl -> not(mem h tl) && noRepeats tl | {
"file_name": "ulib/FStar.List.Tot.Base.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 44,
"end_line": 391,
"start_col": 0,
"start_line": 388
} | (*
Copyright 2008-2014 Nikhil Swamy and 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.
*)
(**
This module defines all pure and total operations on lists that can be
used in specifications. It is implemented by FStar_List_Tot_Base.ml, any
functional change and/or the addition of new functions MUST be reflected
there.
@summary Pure total operations on lists
*)
module FStar.List.Tot.Base
(**
Base operations
*)
(** [isEmpty l] returns [true] if and only if [l] is empty *)
val isEmpty: list 'a -> Tot bool
let isEmpty l = match l with
| [] -> true
| _ -> false
(** [hd l] returns the first element of [l]. Requires [l] to be
nonempty, at type-checking time. Named as in: OCaml, F#, Coq *)
val hd: l:list 'a{Cons? l} -> Tot 'a
let hd = function
| hd::_ -> hd
(** [tail l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Similar to: tl in OCaml, F#, Coq
*)
val tail: l:list 'a {Cons? l} -> Tot (list 'a)
let tail = function
| _::tl -> tl
(** [tl l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Named as in: OCaml, F#, Coq
*)
val tl: l:list 'a {Cons? l} -> Tot (list 'a)
let tl = tail
(** [last l] returns the last element of [l]. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val last: l:list 'a {Cons? l} -> Tot 'a
let rec last = function
| [hd] -> hd
| _::tl -> last tl
(** [init l] returns [l] without its last element. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val init: l:list 'a {Cons? l} -> Tot (list 'a)
let rec init = function
| [_] -> []
| hd::tl -> hd::(init tl)
(** [length l] returns the total number of elements in [l]. Named as
in: OCaml, F#, Coq *)
val length: list 'a -> Tot nat
let rec length = function
| [] -> 0
| _::tl -> 1 + length tl
(** [nth l n] returns the [n]-th element in list [l] (with the first
element being the 0-th) if [l] is long enough, or [None]
otherwise. Named as in: OCaml, F#, Coq *)
val nth: list 'a -> nat -> Tot (option 'a)
let rec nth l n = match l with
| [] -> None
| hd::tl -> if n = 0 then Some hd else nth tl (n - 1)
(** [index l n] returns the [n]-th element in list [l] (with the first
element being the 0-th). Requires, at type-checking time, that [l] be
of length at least [n+1]. *)
val index: #a:Type -> l:list a -> i:nat{i < length l} -> Tot a
let rec index #a (l: list a) (i:nat{i < length l}): Tot a =
if i = 0 then
hd l
else
index (tl l) (i - 1)
(** [count x l] returns the number of occurrences of [x] in
[l]. Requires, at type-checking time, the type of [a] to have equality
defined. Similar to: [List.count_occ] in Coq. *)
val count: #a:eqtype -> a -> list a -> Tot nat
let rec count #a x = function
| [] -> 0
| hd::tl -> if x=hd then 1 + count x tl else count x tl
(** [rev_acc l1 l2] appends the elements of [l1] to the beginning of
[l2], in reverse order. It is equivalent to [append (rev l1) l2], but
is tail-recursive. Similar to: [List.rev_append] in OCaml, Coq. *)
val rev_acc: list 'a -> list 'a -> Tot (list 'a)
let rec rev_acc l acc = match l with
| [] -> acc
| hd::tl -> rev_acc tl (hd::acc)
(** [rev l] returns the list [l] in reverse order. Named as in: OCaml,
F#, Coq. *)
val rev: list 'a -> Tot (list 'a)
let rev l = rev_acc l []
(** [append l1 l2] appends the elements of [l2] to the end of [l1]. Named as: OCaml, F#. Similar to: [List.app] in Coq. *)
val append: list 'a -> list 'a -> Tot (list 'a)
let rec append x y = match x with
| [] -> y
| a::tl -> a::append tl y
(** Defines notation [@@] for [append], as in OCaml, F# . *)
let op_At x y = append x y
(** [snoc (l, x)] adds [x] to the end of the list [l].
Note: We use an uncurried [snoc (l, x)] instead of the curried
[snoc l x]. This is intentional. If [snoc] takes a pair instead
of 2 arguments, it allows for a better pattern on
[lemma_unsnoc_snoc], which connects [snoc] and [unsnoc]. In
particular, if we had two arguments, then either the pattern would
either be too restrictive or would lead to over-triggering. More
context for this can be seen in the (collapsed and uncollapsed)
comments at https://github.com/FStarLang/FStar/pull/1560 *)
val snoc: (list 'a * 'a) -> Tot (list 'a)
let snoc (l, x) = append l [x]
(** [flatten l], where [l] is a list of lists, returns the list of the
elements of the lists in [l], preserving their order. Named as in:
OCaml, Coq. *)
val flatten: list (list 'a) -> Tot (list 'a)
let rec flatten l = match l with
| [] -> []
| hd::tl -> append hd (flatten tl)
(** [map f l] applies [f] to each element of [l] and returns the list
of results, in the order of the original elements in [l]. Requires, at
type-checking time, [f] to be a pure total function. Named as in: OCaml, Coq, F# *)
val map: ('a -> Tot 'b) -> list 'a -> Tot (list 'b)
let rec map f x = match x with
| [] -> []
| a::tl -> f a::map f tl
(** [mapi_init f l n] applies, for each [k], [f (n+k)] to the [k]-th
element of [l] and returns the list of results, in the order of the
original elements in [l]. Requires, at type-checking time, [f] to be a
pure total function. *)
val mapi_init: (int -> 'a -> Tot 'b) -> list 'a -> int -> Tot (list 'b)
let rec mapi_init f l i = match l with
| [] -> []
| hd::tl -> (f i hd)::(mapi_init f tl (i+1))
(** [mapi f l] applies, for each [k], [f k] to the [k]-th element of
[l] and returns the list of results, in the order of the original
elements in [l]. Requires, at type-checking time, [f] to be a pure
total function. Named as in: OCaml *)
val mapi: (int -> 'a -> Tot 'b) -> list 'a -> Tot (list 'b)
let mapi f l = mapi_init f l 0
(** [concatMap f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. This is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. *)
val concatMap: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec concatMap f = function
| [] -> []
| a::tl ->
let fa = f a in
let ftl = concatMap f tl in
append fa ftl
(** [fold_left f x [y1; y2; ...; yn]] computes (f (... (f x y1) y2)
... yn). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq. *)
val fold_left: ('a -> 'b -> Tot 'a) -> 'a -> l:list 'b -> Tot 'a (decreases l)
let rec fold_left f x l = match l with
| [] -> x
| hd::tl -> fold_left f (f x hd) tl
(** [fold_right f [x1; x2; ...; xn] y] computes (f x1 (f x2 (... (f xn
y)) ... )). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq *)
val fold_right: ('a -> 'b -> Tot 'b) -> list 'a -> 'b -> Tot 'b
let rec fold_right f l x = match l with
| [] -> x
| hd::tl -> f hd (fold_right f tl x)
(** [fold_right_gtot] is just like [fold_right], except `f` is
a ghost function **)
let rec fold_right_gtot (#a:Type) (#b:Type) (l:list a) (f:a -> b -> GTot b) (x:b)
: GTot b
= match l with
| [] -> x
| hd::tl -> f hd (fold_right_gtot tl f x)
(* We define map in terms of fold, to share simple lemmas *)
let map_gtot #a #b (f:a -> GTot b) (x:list a)
: GTot (list b)
= fold_right_gtot x (fun x tl -> f x :: tl) []
(** [fold_left2 f x [y1; y2; ...; yn] [z1; z2; ...; zn]] computes (f
(... (f x y1 z1) y2 z2) ... yn zn). Requires, at type-checking time,
[f] to be a pure total function, and the lists [y1; y2; ...; yn] and
[z1; z2; ...; zn] to have the same lengths. Named as in: OCaml *)
val fold_left2 : f:('a -> 'b -> 'c -> Tot 'a) -> accu:'a -> l1:(list 'b) -> l2:(list 'c) ->
Pure 'a (requires (length l1 == length l2)) (ensures (fun _ -> True)) (decreases l1)
let rec fold_left2 f accu l1 l2 =
match (l1, l2) with
| ([], []) -> accu
| (a1::l1, a2::l2) -> fold_left2 f (f accu a1 a2) l1 l2
(** Propositional membership (as in Coq). Does not require decidable
equality. *)
(** [memP x l] holds if, and only if, [x] appears as an
element of [l]. Similar to: List.In in Coq. *)
let rec memP (#a: Type) (x: a) (l: list a) : Tot Type0 =
match l with
| [] -> False
| y :: q -> x == y \/ memP x q
(** List searching **)
(** [mem x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. Named as in: OCaml. See also:
List.In in Coq, which is propositional. *)
val mem: #a:eqtype -> a -> list a -> Tot bool
let rec mem #a x = function
| [] -> false
| hd::tl -> if hd = x then true else mem x tl
(** [contains x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. It is equivalent to: [mem x
l]. TODO: should we rather swap the order of arguments? *)
let contains : #a:eqtype -> a -> list a -> Tot bool = mem
(** [existsb f l] returns [true] if, and only if, there exists some
element [x] in [l] such that [f x] holds. *)
val existsb: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot bool
let rec existsb #a f l = match l with
| [] -> false
| hd::tl -> if f hd then true else existsb f tl
(** [find f l] returns [Some x] for some element [x] appearing in [l]
such that [f x] holds, or [None] only if no such [x] exists. *)
val find: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot (option (x:a{f x}))
let rec find #a f l = match l with
| [] -> None #(x:a{f x}) //These type annotations are only present because it makes bootstrapping go much faster
| hd::tl -> if f hd then Some #(x:a{f x}) hd else find f tl
(** Filtering elements of a list [l] through a Boolean pure total
predicate [f] *)
(** [filter f l] returns [l] with all elements [x] such that [f x]
does not hold removed. Requires, at type-checking time, [f] to be a
pure total function. Named as in: OCaml, Coq *)
val filter : #a: Type -> f:(a -> Tot bool) -> l: list a -> Tot (m:list a{forall x. memP x m ==> f x})
let rec filter #a f = function
| [] -> []
| hd::tl -> if f hd then hd::filter f tl else filter f tl
(** Postcondition on [filter f l]: for any element [x] of [filter f l],
[f x] holds. Requires, at type-checking time, [f] to be a pure total
function.*)
val mem_filter (#a:Type) (f: (a -> Tot bool)) (l: list a) (x: a) : Lemma
(requires (memP x (filter f l)))
(ensures (f x))
let mem_filter f l x = ()
(** Postcondition on [filter f l]: stated with [forall]: for any element
[x] of [filter f l], [f x] holds. Requires, at type-checking time, [f]
to be a pure total function. *)
val mem_filter_forall (#a:Type) (f: (a -> Tot bool)) (l: list a) : Lemma
(requires True)
(ensures (forall x . memP x (filter f l) ==> f x))
[SMTPat (filter f l)]
let mem_filter_forall f l = FStar.Classical.ghost_lemma (mem_filter f l)
(** [for_all f l] returns [true] if, and only if, for all elements [x]
appearing in [l], [f x] holds. Requires, at type-checking time, [f] to
be a pure total function. Named as in: OCaml. Similar to: List.forallb
in Coq *)
val for_all: ('a -> Tot bool) -> list 'a -> Tot bool
let rec for_all f l = match l with
| [] -> true
| hd::tl -> if f hd then for_all f tl else false
(** Specification for [for_all f l] vs. mem *)
let rec for_all_mem
(#a: Type)
(f: (a -> Tot bool))
(l: list a)
: Lemma
(for_all f l <==> (forall x . memP x l ==> f x))
= match l with
| [] -> ()
| _ :: q -> for_all_mem f q
(** [collect f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. It is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. TODO: what is
the difference with [concatMap]? *)
val collect: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec collect f l = match l with
| [] -> []
| hd::tl -> append (f hd) (collect f tl)
(** [tryFind f l] returns [Some x] for some element [x] appearing in
[l] such that [f x] holds, or [None] only if no such [x]
exists. Requires, at type-checking time, [f] to be a pure total
function. Contrary to [find], [tryFind] provides no postcondition on
its result. *)
val tryFind: ('a -> Tot bool) -> list 'a -> Tot (option 'a)
let rec tryFind p l = match l with
| [] -> None
| hd::tl -> if p hd then Some hd else tryFind p tl
(** [tryPick f l] returns [y] for some element [x] appearing in [l]
such that [f x = Some y] for some y, or [None] only if [f x = None]
for all elements [x] of [l]. Requires, at type-checking time, [f] to
be a pure total function. *)
val tryPick: ('a -> Tot (option 'b)) -> list 'a -> Tot (option 'b)
let rec tryPick f l = match l with
| [] -> None
| hd::tl ->
match f hd with
| Some x -> Some x
| None -> tryPick f tl
(** [choose f l] returns the list of [y] for all elements [x]
appearing in [l] such that [f x = Some y] for some [y]. Requires, at
type-checking time, [f] to be a pure total function. *)
val choose: ('a -> Tot (option 'b)) -> list 'a -> Tot (list 'b)
let rec choose f l = match l with
| [] -> []
| hd::tl ->
match f hd with
| Some x -> x::(choose f tl)
| None -> choose f tl
(** [partition f l] returns the pair of lists [(l1, l2)] where all
elements [x] of [l] are in [l1] if [f x] holds, and in [l2]
otherwise. Both [l1] and [l2] retain the original order of
[l]. Requires, at type-checking time, [f] to be a pure total
function. *)
val partition: f:('a -> Tot bool) -> list 'a -> Tot (list 'a * list 'a)
let rec partition f = function
| [] -> [], []
| hd::tl ->
let l1, l2 = partition f tl in
if f hd
then hd::l1, l2
else l1, hd::l2
(** [subset la lb] is true if and only if all the elements from [la]
are also in [lb]. Requires, at type-checking time, the type of
elements of [la] and [lb] to have decidable equality. *)
val subset: #a:eqtype -> list a -> list a -> Tot bool
let rec subset #a la lb =
match la with
| [] -> true
| h :: tl -> mem h lb && subset tl lb
(** [noRepeats l] returns [true] if, and only if, no element of [l]
appears in [l] more than once. Requires, at type-checking time, the
type of elements of [la] and [lb] to have decidable equality. *) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.List.Tot.Base.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"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 | la: Prims.list a -> Prims.bool | Prims.Tot | [
"total"
] | [] | [
"Prims.eqtype",
"Prims.list",
"Prims.op_AmpAmp",
"Prims.op_Negation",
"FStar.List.Tot.Base.mem",
"FStar.List.Tot.Base.noRepeats",
"Prims.bool"
] | [
"recursion"
] | false | false | false | false | false | let rec noRepeats #a la =
| match la with
| [] -> true
| h :: tl -> not (mem h tl) && noRepeats tl | false |
Vale.X64.InsAes.fst | Vale.X64.InsAes.va_lemma_VAESNI_enc | val va_lemma_VAESNI_enc : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm ->
src1:va_operand_xmm -> src2:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_VAESNI_enc dst src1 src2) va_s0 /\ va_is_dst_xmm dst
va_s0 /\ va_is_src_xmm src1 va_s0 /\ va_is_src_xmm src2 va_s0 /\ va_get_ok va_s0 /\
(aesni_enabled /\ avx_enabled)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_s.mix_columns_LE
(Vale.AES.AES_common_s.sub_bytes (Vale.AES.AES_s.shift_rows_LE (va_eval_xmm va_s0 src1))))
(va_eval_xmm va_s0 src2) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM
(va_update_operand_xmm dst va_sM va_s0))))) | val va_lemma_VAESNI_enc : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm ->
src1:va_operand_xmm -> src2:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_VAESNI_enc dst src1 src2) va_s0 /\ va_is_dst_xmm dst
va_s0 /\ va_is_src_xmm src1 va_s0 /\ va_is_src_xmm src2 va_s0 /\ va_get_ok va_s0 /\
(aesni_enabled /\ avx_enabled)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_s.mix_columns_LE
(Vale.AES.AES_common_s.sub_bytes (Vale.AES.AES_s.shift_rows_LE (va_eval_xmm va_s0 src1))))
(va_eval_xmm va_s0 src2) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM
(va_update_operand_xmm dst va_sM va_s0))))) | let va_lemma_VAESNI_enc va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc) (va_code_VAESNI_enc dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1)
(OReg src2))) va_s0 in
(va_sM, va_fM) | {
"file_name": "obj/Vale.X64.InsAes.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 133,
"start_col": 0,
"start_line": 127
} | module Vale.X64.InsAes
open Vale.Def.Types_s
open Vale.X64.Machine_s
open Vale.X64
open Vale.X64.State
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.Decls
open Vale.X64.CPU_Features_s
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
module P = Vale.X64.Print_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 4 --max_fuel 4 --z3rlimit 20"
//-- Pclmulqdq
[@ "opaque_to_smt"]
let va_code_Pclmulqdq dst src dstHi srcHi =
(mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16 else 0)))
(OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_Pclmulqdq dst src dstHi srcHi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Pclmulqdq va_b0 va_s0 dst src dstHi srcHi =
va_reveal_opaque (`%va_code_Pclmulqdq) (va_code_Pclmulqdq dst src dstHi srcHi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16
else 0))) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) +
(if srcHi then 16 else 0))) (OReg dst) (OReg src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Pclmulqdq dst src dstHi srcHi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Pclmulqdq (va_code_Pclmulqdq dst src dstHi srcHi) va_s0 dst src
dstHi srcHi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VPclmulqdq
[@ "opaque_to_smt"]
let va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then 16 else 0)))
(OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VPclmulqdq va_b0 va_s0 dst src1 src2 src1Hi src2Hi =
va_reveal_opaque (`%va_code_VPclmulqdq) (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then
16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0)
+ (if src2Hi then 16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VPclmulqdq dst src1 src2 src1Hi src2Hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VPclmulqdq (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi) va_s0
dst src1 src2 src1Hi src2Hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc
[@ "opaque_to_smt"]
let va_code_AESNI_enc dst src =
(mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc) (va_code_AESNI_enc dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc (va_code_AESNI_enc dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc
[@ "opaque_to_smt"]
let va_code_VAESNI_enc dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc dst src1 src2 =
(va_ttrue ()) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.State.fsti.checked",
"Vale.X64.Print_s.fst.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.AES.AES_s.fst.checked",
"Vale.AES.AES_common_s.fst.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsAes.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Print_s",
"short_module": "P"
},
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"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.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"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": 4,
"initial_ifuel": 0,
"max_fuel": 4,
"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 |
va_b0: Vale.X64.Decls.va_code ->
va_s0: Vale.X64.Decls.va_state ->
dst: Vale.X64.Decls.va_operand_xmm ->
src1: Vale.X64.Decls.va_operand_xmm ->
src2: Vale.X64.Decls.va_operand_xmm
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.Decls.va_operand_xmm",
"Vale.X64.State.vale_state",
"Vale.X64.Lemmas.fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.tuple2",
"Prims.nat",
"Vale.X64.Decls.va_eval_ins",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.out",
"Vale.X64.Instruction_s.opXmm",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_VAESNI_enc",
"Vale.X64.Machine_s.OReg",
"Vale.X64.Machine_s.quad32",
"Vale.X64.Machine_s.reg_xmm",
"Prims.unit",
"Vale.X64.Decls.va_ins_lemma",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.InsAes.va_code_VAESNI_enc"
] | [] | false | false | false | false | false | let va_lemma_VAESNI_enc va_b0 va_s0 dst src1 src2 =
| va_reveal_opaque (`%va_code_VAESNI_enc) (va_code_VAESNI_enc dst src1 src2);
let va_old_s:va_state = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let va_sM, va_fM =
va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2))) va_s0
in
(va_sM, va_fM) | false |
Vale.X64.InsAes.fst | Vale.X64.InsAes.va_code_VAESNI_enc_last | val va_code_VAESNI_enc_last : dst:va_operand_xmm -> src1:va_operand_xmm -> src2:va_operand_xmm ->
Tot va_code | val va_code_VAESNI_enc_last : dst:va_operand_xmm -> src1:va_operand_xmm -> src2:va_operand_xmm ->
Tot va_code | let va_code_VAESNI_enc_last dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2))) | {
"file_name": "obj/Vale.X64.InsAes.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 82,
"end_line": 182,
"start_col": 0,
"start_line": 181
} | module Vale.X64.InsAes
open Vale.Def.Types_s
open Vale.X64.Machine_s
open Vale.X64
open Vale.X64.State
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.Decls
open Vale.X64.CPU_Features_s
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
module P = Vale.X64.Print_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 4 --max_fuel 4 --z3rlimit 20"
//-- Pclmulqdq
[@ "opaque_to_smt"]
let va_code_Pclmulqdq dst src dstHi srcHi =
(mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16 else 0)))
(OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_Pclmulqdq dst src dstHi srcHi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Pclmulqdq va_b0 va_s0 dst src dstHi srcHi =
va_reveal_opaque (`%va_code_Pclmulqdq) (va_code_Pclmulqdq dst src dstHi srcHi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16
else 0))) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) +
(if srcHi then 16 else 0))) (OReg dst) (OReg src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Pclmulqdq dst src dstHi srcHi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Pclmulqdq (va_code_Pclmulqdq dst src dstHi srcHi) va_s0 dst src
dstHi srcHi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VPclmulqdq
[@ "opaque_to_smt"]
let va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then 16 else 0)))
(OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VPclmulqdq va_b0 va_s0 dst src1 src2 src1Hi src2Hi =
va_reveal_opaque (`%va_code_VPclmulqdq) (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then
16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0)
+ (if src2Hi then 16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VPclmulqdq dst src1 src2 src1Hi src2Hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VPclmulqdq (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi) va_s0
dst src1 src2 src1Hi src2Hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc
[@ "opaque_to_smt"]
let va_code_AESNI_enc dst src =
(mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc) (va_code_AESNI_enc dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc (va_code_AESNI_enc dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc
[@ "opaque_to_smt"]
let va_code_VAESNI_enc dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc) (va_code_VAESNI_enc dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1)
(OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc (va_code_VAESNI_enc dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc_last
[@ "opaque_to_smt"]
let va_code_AESNI_enc_last dst src =
(mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc_last dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc_last va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc_last) (va_code_AESNI_enc_last dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg
src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc_last dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc_last (va_code_AESNI_enc_last dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc_last | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.State.fsti.checked",
"Vale.X64.Print_s.fst.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.AES.AES_s.fst.checked",
"Vale.AES.AES_common_s.fst.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsAes.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Print_s",
"short_module": "P"
},
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"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.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"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": 4,
"initial_ifuel": 0,
"max_fuel": 4,
"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 |
dst: Vale.X64.Decls.va_operand_xmm ->
src1: Vale.X64.Decls.va_operand_xmm ->
src2: Vale.X64.Decls.va_operand_xmm
-> Vale.X64.Decls.va_code | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.Decls.va_operand_xmm",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.out",
"Vale.X64.Instruction_s.opXmm",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_VAESNI_enc_last",
"Vale.X64.Machine_s.OReg",
"Vale.X64.Machine_s.quad32",
"Vale.X64.Machine_s.reg_xmm",
"Vale.X64.Decls.va_code"
] | [] | false | false | false | true | false | let va_code_VAESNI_enc_last dst src1 src2 =
| (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2))) | false |
Vale.X64.InsAes.fst | Vale.X64.InsAes.va_code_AESNI_dec | val va_code_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code | val va_code_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code | let va_code_AESNI_dec dst src =
(mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src))) | {
"file_name": "obj/Vale.X64.InsAes.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 63,
"end_line": 216,
"start_col": 0,
"start_line": 215
} | module Vale.X64.InsAes
open Vale.Def.Types_s
open Vale.X64.Machine_s
open Vale.X64
open Vale.X64.State
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.Decls
open Vale.X64.CPU_Features_s
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
module P = Vale.X64.Print_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 4 --max_fuel 4 --z3rlimit 20"
//-- Pclmulqdq
[@ "opaque_to_smt"]
let va_code_Pclmulqdq dst src dstHi srcHi =
(mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16 else 0)))
(OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_Pclmulqdq dst src dstHi srcHi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Pclmulqdq va_b0 va_s0 dst src dstHi srcHi =
va_reveal_opaque (`%va_code_Pclmulqdq) (va_code_Pclmulqdq dst src dstHi srcHi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16
else 0))) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) +
(if srcHi then 16 else 0))) (OReg dst) (OReg src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Pclmulqdq dst src dstHi srcHi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Pclmulqdq (va_code_Pclmulqdq dst src dstHi srcHi) va_s0 dst src
dstHi srcHi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VPclmulqdq
[@ "opaque_to_smt"]
let va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then 16 else 0)))
(OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VPclmulqdq va_b0 va_s0 dst src1 src2 src1Hi src2Hi =
va_reveal_opaque (`%va_code_VPclmulqdq) (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then
16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0)
+ (if src2Hi then 16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VPclmulqdq dst src1 src2 src1Hi src2Hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VPclmulqdq (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi) va_s0
dst src1 src2 src1Hi src2Hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc
[@ "opaque_to_smt"]
let va_code_AESNI_enc dst src =
(mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc) (va_code_AESNI_enc dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc (va_code_AESNI_enc dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc
[@ "opaque_to_smt"]
let va_code_VAESNI_enc dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc) (va_code_VAESNI_enc dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1)
(OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc (va_code_VAESNI_enc dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc_last
[@ "opaque_to_smt"]
let va_code_AESNI_enc_last dst src =
(mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc_last dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc_last va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc_last) (va_code_AESNI_enc_last dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg
src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc_last dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc_last (va_code_AESNI_enc_last dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc_last
[@ "opaque_to_smt"]
let va_code_VAESNI_enc_last dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc_last dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc_last va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc_last) (va_code_VAESNI_enc_last dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2)))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg
src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc_last dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc_last (va_code_VAESNI_enc_last dst src1 src2) va_s0 dst
src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_dec
val va_code_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.State.fsti.checked",
"Vale.X64.Print_s.fst.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.AES.AES_s.fst.checked",
"Vale.AES.AES_common_s.fst.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsAes.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Print_s",
"short_module": "P"
},
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"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.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"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": 4,
"initial_ifuel": 0,
"max_fuel": 4,
"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 | dst: Vale.X64.Decls.va_operand_xmm -> src: Vale.X64.Decls.va_operand_xmm -> Vale.X64.Decls.va_code | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.Decls.va_operand_xmm",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.inOut",
"Vale.X64.Instruction_s.opXmm",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_AESNI_dec",
"Vale.X64.Machine_s.OReg",
"Vale.X64.Machine_s.quad32",
"Vale.X64.Machine_s.reg_xmm",
"Vale.X64.Decls.va_code"
] | [] | false | false | false | true | false | let va_code_AESNI_dec dst src =
| (mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src))) | false |
Vale.X64.InsAes.fst | Vale.X64.InsAes.va_wpProof_VAESNI_enc | val va_wpProof_VAESNI_enc : dst:va_operand_xmm -> src1:va_operand_xmm -> src2:va_operand_xmm ->
va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_VAESNI_enc dst src1 src2 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_VAESNI_enc dst src1 src2)
([va_Mod_flags; va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) | val va_wpProof_VAESNI_enc : dst:va_operand_xmm -> src1:va_operand_xmm -> src2:va_operand_xmm ->
va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_VAESNI_enc dst src1 src2 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_VAESNI_enc dst src1 src2)
([va_Mod_flags; va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) | let va_wpProof_VAESNI_enc dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc (va_code_VAESNI_enc dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.X64.InsAes.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 144,
"start_col": 0,
"start_line": 137
} | module Vale.X64.InsAes
open Vale.Def.Types_s
open Vale.X64.Machine_s
open Vale.X64
open Vale.X64.State
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.Decls
open Vale.X64.CPU_Features_s
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
module P = Vale.X64.Print_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 4 --max_fuel 4 --z3rlimit 20"
//-- Pclmulqdq
[@ "opaque_to_smt"]
let va_code_Pclmulqdq dst src dstHi srcHi =
(mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16 else 0)))
(OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_Pclmulqdq dst src dstHi srcHi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Pclmulqdq va_b0 va_s0 dst src dstHi srcHi =
va_reveal_opaque (`%va_code_Pclmulqdq) (va_code_Pclmulqdq dst src dstHi srcHi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16
else 0))) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) +
(if srcHi then 16 else 0))) (OReg dst) (OReg src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Pclmulqdq dst src dstHi srcHi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Pclmulqdq (va_code_Pclmulqdq dst src dstHi srcHi) va_s0 dst src
dstHi srcHi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VPclmulqdq
[@ "opaque_to_smt"]
let va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then 16 else 0)))
(OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VPclmulqdq va_b0 va_s0 dst src1 src2 src1Hi src2Hi =
va_reveal_opaque (`%va_code_VPclmulqdq) (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then
16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0)
+ (if src2Hi then 16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VPclmulqdq dst src1 src2 src1Hi src2Hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VPclmulqdq (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi) va_s0
dst src1 src2 src1Hi src2Hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc
[@ "opaque_to_smt"]
let va_code_AESNI_enc dst src =
(mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc) (va_code_AESNI_enc dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc (va_code_AESNI_enc dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc
[@ "opaque_to_smt"]
let va_code_VAESNI_enc dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc) (va_code_VAESNI_enc dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1)
(OReg src2))) va_s0 in
(va_sM, va_fM) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.State.fsti.checked",
"Vale.X64.Print_s.fst.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.AES.AES_s.fst.checked",
"Vale.AES.AES_common_s.fst.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsAes.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Print_s",
"short_module": "P"
},
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"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.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"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": 4,
"initial_ifuel": 0,
"max_fuel": 4,
"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 |
dst: Vale.X64.Decls.va_operand_xmm ->
src1: Vale.X64.Decls.va_operand_xmm ->
src2: Vale.X64.Decls.va_operand_xmm ->
va_s0: Vale.X64.Decls.va_state ->
va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_operand_xmm",
"Vale.X64.Decls.va_state",
"Prims.unit",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.X64.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.X64.QuickCode.mod_t",
"Vale.X64.QuickCode.va_Mod_flags",
"Vale.X64.QuickCode.va_mod_xmm",
"Prims.Nil",
"Prims._assert",
"Vale.X64.Decls.va_state_eq",
"Vale.X64.Decls.va_update_flags",
"Vale.X64.Decls.va_update_ok",
"Vale.X64.Decls.va_update_operand_xmm",
"Vale.X64.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.X64.State.vale_state",
"Vale.X64.InsAes.va_lemma_VAESNI_enc",
"Vale.X64.InsAes.va_code_VAESNI_enc"
] | [] | false | false | false | false | false | let va_wpProof_VAESNI_enc dst src1 src2 va_s0 va_k =
| let va_sM, va_f0 = va_lemma_VAESNI_enc (va_code_VAESNI_enc dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM
(va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | false |
Vale.X64.InsAes.fst | Vale.X64.InsAes.va_wpProof_AESNI_enc | val va_wpProof_AESNI_enc : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_enc dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_enc dst src) ([va_Mod_flags;
va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) | val va_wpProof_AESNI_enc : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_enc dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_enc dst src) ([va_Mod_flags;
va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) | let va_wpProof_AESNI_enc dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc (va_code_AESNI_enc dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.X64.InsAes.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 113,
"start_col": 0,
"start_line": 106
} | module Vale.X64.InsAes
open Vale.Def.Types_s
open Vale.X64.Machine_s
open Vale.X64
open Vale.X64.State
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.Decls
open Vale.X64.CPU_Features_s
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
module P = Vale.X64.Print_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 4 --max_fuel 4 --z3rlimit 20"
//-- Pclmulqdq
[@ "opaque_to_smt"]
let va_code_Pclmulqdq dst src dstHi srcHi =
(mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16 else 0)))
(OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_Pclmulqdq dst src dstHi srcHi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Pclmulqdq va_b0 va_s0 dst src dstHi srcHi =
va_reveal_opaque (`%va_code_Pclmulqdq) (va_code_Pclmulqdq dst src dstHi srcHi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16
else 0))) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) +
(if srcHi then 16 else 0))) (OReg dst) (OReg src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Pclmulqdq dst src dstHi srcHi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Pclmulqdq (va_code_Pclmulqdq dst src dstHi srcHi) va_s0 dst src
dstHi srcHi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VPclmulqdq
[@ "opaque_to_smt"]
let va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then 16 else 0)))
(OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VPclmulqdq va_b0 va_s0 dst src1 src2 src1Hi src2Hi =
va_reveal_opaque (`%va_code_VPclmulqdq) (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then
16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0)
+ (if src2Hi then 16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VPclmulqdq dst src1 src2 src1Hi src2Hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VPclmulqdq (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi) va_s0
dst src1 src2 src1Hi src2Hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc
[@ "opaque_to_smt"]
let va_code_AESNI_enc dst src =
(mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc) (va_code_AESNI_enc dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.State.fsti.checked",
"Vale.X64.Print_s.fst.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.AES.AES_s.fst.checked",
"Vale.AES.AES_common_s.fst.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsAes.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Print_s",
"short_module": "P"
},
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"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.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"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": 4,
"initial_ifuel": 0,
"max_fuel": 4,
"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 |
dst: Vale.X64.Decls.va_operand_xmm ->
src: Vale.X64.Decls.va_operand_xmm ->
va_s0: Vale.X64.Decls.va_state ->
va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_operand_xmm",
"Vale.X64.Decls.va_state",
"Prims.unit",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.X64.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.X64.QuickCode.mod_t",
"Vale.X64.QuickCode.va_Mod_flags",
"Vale.X64.QuickCode.va_mod_xmm",
"Prims.Nil",
"Prims._assert",
"Vale.X64.Decls.va_state_eq",
"Vale.X64.Decls.va_update_flags",
"Vale.X64.Decls.va_update_ok",
"Vale.X64.Decls.va_update_operand_xmm",
"Vale.X64.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.X64.State.vale_state",
"Vale.X64.InsAes.va_lemma_AESNI_enc",
"Vale.X64.InsAes.va_code_AESNI_enc"
] | [] | false | false | false | false | false | let va_wpProof_AESNI_enc dst src va_s0 va_k =
| let va_sM, va_f0 = va_lemma_AESNI_enc (va_code_AESNI_enc dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM
(va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | false |
FStar.List.Tot.Base.fst | FStar.List.Tot.Base.split | val split: list ('a * 'b) -> Tot (list 'a * list 'b) | val split: list ('a * 'b) -> Tot (list 'a * list 'b) | let rec split l = match l with
| [] -> ([],[])
| (hd1,hd2)::tl ->
let (tl1,tl2) = split tl in
(hd1::tl1,hd2::tl2) | {
"file_name": "ulib/FStar.List.Tot.Base.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 26,
"end_line": 421,
"start_col": 0,
"start_line": 417
} | (*
Copyright 2008-2014 Nikhil Swamy and 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.
*)
(**
This module defines all pure and total operations on lists that can be
used in specifications. It is implemented by FStar_List_Tot_Base.ml, any
functional change and/or the addition of new functions MUST be reflected
there.
@summary Pure total operations on lists
*)
module FStar.List.Tot.Base
(**
Base operations
*)
(** [isEmpty l] returns [true] if and only if [l] is empty *)
val isEmpty: list 'a -> Tot bool
let isEmpty l = match l with
| [] -> true
| _ -> false
(** [hd l] returns the first element of [l]. Requires [l] to be
nonempty, at type-checking time. Named as in: OCaml, F#, Coq *)
val hd: l:list 'a{Cons? l} -> Tot 'a
let hd = function
| hd::_ -> hd
(** [tail l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Similar to: tl in OCaml, F#, Coq
*)
val tail: l:list 'a {Cons? l} -> Tot (list 'a)
let tail = function
| _::tl -> tl
(** [tl l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Named as in: OCaml, F#, Coq
*)
val tl: l:list 'a {Cons? l} -> Tot (list 'a)
let tl = tail
(** [last l] returns the last element of [l]. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val last: l:list 'a {Cons? l} -> Tot 'a
let rec last = function
| [hd] -> hd
| _::tl -> last tl
(** [init l] returns [l] without its last element. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val init: l:list 'a {Cons? l} -> Tot (list 'a)
let rec init = function
| [_] -> []
| hd::tl -> hd::(init tl)
(** [length l] returns the total number of elements in [l]. Named as
in: OCaml, F#, Coq *)
val length: list 'a -> Tot nat
let rec length = function
| [] -> 0
| _::tl -> 1 + length tl
(** [nth l n] returns the [n]-th element in list [l] (with the first
element being the 0-th) if [l] is long enough, or [None]
otherwise. Named as in: OCaml, F#, Coq *)
val nth: list 'a -> nat -> Tot (option 'a)
let rec nth l n = match l with
| [] -> None
| hd::tl -> if n = 0 then Some hd else nth tl (n - 1)
(** [index l n] returns the [n]-th element in list [l] (with the first
element being the 0-th). Requires, at type-checking time, that [l] be
of length at least [n+1]. *)
val index: #a:Type -> l:list a -> i:nat{i < length l} -> Tot a
let rec index #a (l: list a) (i:nat{i < length l}): Tot a =
if i = 0 then
hd l
else
index (tl l) (i - 1)
(** [count x l] returns the number of occurrences of [x] in
[l]. Requires, at type-checking time, the type of [a] to have equality
defined. Similar to: [List.count_occ] in Coq. *)
val count: #a:eqtype -> a -> list a -> Tot nat
let rec count #a x = function
| [] -> 0
| hd::tl -> if x=hd then 1 + count x tl else count x tl
(** [rev_acc l1 l2] appends the elements of [l1] to the beginning of
[l2], in reverse order. It is equivalent to [append (rev l1) l2], but
is tail-recursive. Similar to: [List.rev_append] in OCaml, Coq. *)
val rev_acc: list 'a -> list 'a -> Tot (list 'a)
let rec rev_acc l acc = match l with
| [] -> acc
| hd::tl -> rev_acc tl (hd::acc)
(** [rev l] returns the list [l] in reverse order. Named as in: OCaml,
F#, Coq. *)
val rev: list 'a -> Tot (list 'a)
let rev l = rev_acc l []
(** [append l1 l2] appends the elements of [l2] to the end of [l1]. Named as: OCaml, F#. Similar to: [List.app] in Coq. *)
val append: list 'a -> list 'a -> Tot (list 'a)
let rec append x y = match x with
| [] -> y
| a::tl -> a::append tl y
(** Defines notation [@@] for [append], as in OCaml, F# . *)
let op_At x y = append x y
(** [snoc (l, x)] adds [x] to the end of the list [l].
Note: We use an uncurried [snoc (l, x)] instead of the curried
[snoc l x]. This is intentional. If [snoc] takes a pair instead
of 2 arguments, it allows for a better pattern on
[lemma_unsnoc_snoc], which connects [snoc] and [unsnoc]. In
particular, if we had two arguments, then either the pattern would
either be too restrictive or would lead to over-triggering. More
context for this can be seen in the (collapsed and uncollapsed)
comments at https://github.com/FStarLang/FStar/pull/1560 *)
val snoc: (list 'a * 'a) -> Tot (list 'a)
let snoc (l, x) = append l [x]
(** [flatten l], where [l] is a list of lists, returns the list of the
elements of the lists in [l], preserving their order. Named as in:
OCaml, Coq. *)
val flatten: list (list 'a) -> Tot (list 'a)
let rec flatten l = match l with
| [] -> []
| hd::tl -> append hd (flatten tl)
(** [map f l] applies [f] to each element of [l] and returns the list
of results, in the order of the original elements in [l]. Requires, at
type-checking time, [f] to be a pure total function. Named as in: OCaml, Coq, F# *)
val map: ('a -> Tot 'b) -> list 'a -> Tot (list 'b)
let rec map f x = match x with
| [] -> []
| a::tl -> f a::map f tl
(** [mapi_init f l n] applies, for each [k], [f (n+k)] to the [k]-th
element of [l] and returns the list of results, in the order of the
original elements in [l]. Requires, at type-checking time, [f] to be a
pure total function. *)
val mapi_init: (int -> 'a -> Tot 'b) -> list 'a -> int -> Tot (list 'b)
let rec mapi_init f l i = match l with
| [] -> []
| hd::tl -> (f i hd)::(mapi_init f tl (i+1))
(** [mapi f l] applies, for each [k], [f k] to the [k]-th element of
[l] and returns the list of results, in the order of the original
elements in [l]. Requires, at type-checking time, [f] to be a pure
total function. Named as in: OCaml *)
val mapi: (int -> 'a -> Tot 'b) -> list 'a -> Tot (list 'b)
let mapi f l = mapi_init f l 0
(** [concatMap f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. This is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. *)
val concatMap: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec concatMap f = function
| [] -> []
| a::tl ->
let fa = f a in
let ftl = concatMap f tl in
append fa ftl
(** [fold_left f x [y1; y2; ...; yn]] computes (f (... (f x y1) y2)
... yn). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq. *)
val fold_left: ('a -> 'b -> Tot 'a) -> 'a -> l:list 'b -> Tot 'a (decreases l)
let rec fold_left f x l = match l with
| [] -> x
| hd::tl -> fold_left f (f x hd) tl
(** [fold_right f [x1; x2; ...; xn] y] computes (f x1 (f x2 (... (f xn
y)) ... )). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq *)
val fold_right: ('a -> 'b -> Tot 'b) -> list 'a -> 'b -> Tot 'b
let rec fold_right f l x = match l with
| [] -> x
| hd::tl -> f hd (fold_right f tl x)
(** [fold_right_gtot] is just like [fold_right], except `f` is
a ghost function **)
let rec fold_right_gtot (#a:Type) (#b:Type) (l:list a) (f:a -> b -> GTot b) (x:b)
: GTot b
= match l with
| [] -> x
| hd::tl -> f hd (fold_right_gtot tl f x)
(* We define map in terms of fold, to share simple lemmas *)
let map_gtot #a #b (f:a -> GTot b) (x:list a)
: GTot (list b)
= fold_right_gtot x (fun x tl -> f x :: tl) []
(** [fold_left2 f x [y1; y2; ...; yn] [z1; z2; ...; zn]] computes (f
(... (f x y1 z1) y2 z2) ... yn zn). Requires, at type-checking time,
[f] to be a pure total function, and the lists [y1; y2; ...; yn] and
[z1; z2; ...; zn] to have the same lengths. Named as in: OCaml *)
val fold_left2 : f:('a -> 'b -> 'c -> Tot 'a) -> accu:'a -> l1:(list 'b) -> l2:(list 'c) ->
Pure 'a (requires (length l1 == length l2)) (ensures (fun _ -> True)) (decreases l1)
let rec fold_left2 f accu l1 l2 =
match (l1, l2) with
| ([], []) -> accu
| (a1::l1, a2::l2) -> fold_left2 f (f accu a1 a2) l1 l2
(** Propositional membership (as in Coq). Does not require decidable
equality. *)
(** [memP x l] holds if, and only if, [x] appears as an
element of [l]. Similar to: List.In in Coq. *)
let rec memP (#a: Type) (x: a) (l: list a) : Tot Type0 =
match l with
| [] -> False
| y :: q -> x == y \/ memP x q
(** List searching **)
(** [mem x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. Named as in: OCaml. See also:
List.In in Coq, which is propositional. *)
val mem: #a:eqtype -> a -> list a -> Tot bool
let rec mem #a x = function
| [] -> false
| hd::tl -> if hd = x then true else mem x tl
(** [contains x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. It is equivalent to: [mem x
l]. TODO: should we rather swap the order of arguments? *)
let contains : #a:eqtype -> a -> list a -> Tot bool = mem
(** [existsb f l] returns [true] if, and only if, there exists some
element [x] in [l] such that [f x] holds. *)
val existsb: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot bool
let rec existsb #a f l = match l with
| [] -> false
| hd::tl -> if f hd then true else existsb f tl
(** [find f l] returns [Some x] for some element [x] appearing in [l]
such that [f x] holds, or [None] only if no such [x] exists. *)
val find: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot (option (x:a{f x}))
let rec find #a f l = match l with
| [] -> None #(x:a{f x}) //These type annotations are only present because it makes bootstrapping go much faster
| hd::tl -> if f hd then Some #(x:a{f x}) hd else find f tl
(** Filtering elements of a list [l] through a Boolean pure total
predicate [f] *)
(** [filter f l] returns [l] with all elements [x] such that [f x]
does not hold removed. Requires, at type-checking time, [f] to be a
pure total function. Named as in: OCaml, Coq *)
val filter : #a: Type -> f:(a -> Tot bool) -> l: list a -> Tot (m:list a{forall x. memP x m ==> f x})
let rec filter #a f = function
| [] -> []
| hd::tl -> if f hd then hd::filter f tl else filter f tl
(** Postcondition on [filter f l]: for any element [x] of [filter f l],
[f x] holds. Requires, at type-checking time, [f] to be a pure total
function.*)
val mem_filter (#a:Type) (f: (a -> Tot bool)) (l: list a) (x: a) : Lemma
(requires (memP x (filter f l)))
(ensures (f x))
let mem_filter f l x = ()
(** Postcondition on [filter f l]: stated with [forall]: for any element
[x] of [filter f l], [f x] holds. Requires, at type-checking time, [f]
to be a pure total function. *)
val mem_filter_forall (#a:Type) (f: (a -> Tot bool)) (l: list a) : Lemma
(requires True)
(ensures (forall x . memP x (filter f l) ==> f x))
[SMTPat (filter f l)]
let mem_filter_forall f l = FStar.Classical.ghost_lemma (mem_filter f l)
(** [for_all f l] returns [true] if, and only if, for all elements [x]
appearing in [l], [f x] holds. Requires, at type-checking time, [f] to
be a pure total function. Named as in: OCaml. Similar to: List.forallb
in Coq *)
val for_all: ('a -> Tot bool) -> list 'a -> Tot bool
let rec for_all f l = match l with
| [] -> true
| hd::tl -> if f hd then for_all f tl else false
(** Specification for [for_all f l] vs. mem *)
let rec for_all_mem
(#a: Type)
(f: (a -> Tot bool))
(l: list a)
: Lemma
(for_all f l <==> (forall x . memP x l ==> f x))
= match l with
| [] -> ()
| _ :: q -> for_all_mem f q
(** [collect f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. It is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. TODO: what is
the difference with [concatMap]? *)
val collect: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec collect f l = match l with
| [] -> []
| hd::tl -> append (f hd) (collect f tl)
(** [tryFind f l] returns [Some x] for some element [x] appearing in
[l] such that [f x] holds, or [None] only if no such [x]
exists. Requires, at type-checking time, [f] to be a pure total
function. Contrary to [find], [tryFind] provides no postcondition on
its result. *)
val tryFind: ('a -> Tot bool) -> list 'a -> Tot (option 'a)
let rec tryFind p l = match l with
| [] -> None
| hd::tl -> if p hd then Some hd else tryFind p tl
(** [tryPick f l] returns [y] for some element [x] appearing in [l]
such that [f x = Some y] for some y, or [None] only if [f x = None]
for all elements [x] of [l]. Requires, at type-checking time, [f] to
be a pure total function. *)
val tryPick: ('a -> Tot (option 'b)) -> list 'a -> Tot (option 'b)
let rec tryPick f l = match l with
| [] -> None
| hd::tl ->
match f hd with
| Some x -> Some x
| None -> tryPick f tl
(** [choose f l] returns the list of [y] for all elements [x]
appearing in [l] such that [f x = Some y] for some [y]. Requires, at
type-checking time, [f] to be a pure total function. *)
val choose: ('a -> Tot (option 'b)) -> list 'a -> Tot (list 'b)
let rec choose f l = match l with
| [] -> []
| hd::tl ->
match f hd with
| Some x -> x::(choose f tl)
| None -> choose f tl
(** [partition f l] returns the pair of lists [(l1, l2)] where all
elements [x] of [l] are in [l1] if [f x] holds, and in [l2]
otherwise. Both [l1] and [l2] retain the original order of
[l]. Requires, at type-checking time, [f] to be a pure total
function. *)
val partition: f:('a -> Tot bool) -> list 'a -> Tot (list 'a * list 'a)
let rec partition f = function
| [] -> [], []
| hd::tl ->
let l1, l2 = partition f tl in
if f hd
then hd::l1, l2
else l1, hd::l2
(** [subset la lb] is true if and only if all the elements from [la]
are also in [lb]. Requires, at type-checking time, the type of
elements of [la] and [lb] to have decidable equality. *)
val subset: #a:eqtype -> list a -> list a -> Tot bool
let rec subset #a la lb =
match la with
| [] -> true
| h :: tl -> mem h lb && subset tl lb
(** [noRepeats l] returns [true] if, and only if, no element of [l]
appears in [l] more than once. Requires, at type-checking time, the
type of elements of [la] and [lb] to have decidable equality. *)
val noRepeats : #a:eqtype -> list a -> Tot bool
let rec noRepeats #a la =
match la with
| [] -> true
| h :: tl -> not(mem h tl) && noRepeats tl
(** [no_repeats_p l] valid if, and only if, no element of [l]
appears in [l] more than once. *)
val no_repeats_p : #a:Type -> list a -> Tot prop
let rec no_repeats_p #a la =
match la with
| [] -> True
| h :: tl -> ~(memP h tl) /\ no_repeats_p tl
(** List of tuples **)
(** [assoc x l] returns [Some y] where [(x, y)] is the first element
of [l] whose first element is [x], or [None] only if no such element
exists. Requires, at type-checking time, the type of [x] to have
decidable equality. Named as in: OCaml. *)
val assoc: #a:eqtype -> #b:Type -> a -> list (a * b) -> Tot (option b)
let rec assoc #a #b x = function
| [] -> None
| (x', y)::tl -> if x=x' then Some y else assoc x tl
(** [split] takes a list of pairs [(x1, y1), ..., (xn, yn)] and
returns the pair of lists ([x1, ..., xn], [y1, ..., yn]). Named as in:
OCaml *) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.List.Tot.Base.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"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 | l: Prims.list ('a * 'b) -> Prims.list 'a * Prims.list 'b | Prims.Tot | [
"total"
] | [] | [
"Prims.list",
"FStar.Pervasives.Native.tuple2",
"FStar.Pervasives.Native.Mktuple2",
"Prims.Nil",
"Prims.Cons",
"FStar.List.Tot.Base.split"
] | [
"recursion"
] | false | false | false | true | false | let rec split l =
| match l with
| [] -> ([], [])
| (hd1, hd2) :: tl ->
let tl1, tl2 = split tl in
(hd1 :: tl1, hd2 :: tl2) | false |
FStar.List.Tot.Base.fst | FStar.List.Tot.Base.lemma_splitAt_snd_length | val lemma_splitAt_snd_length (#a: Type) (n: nat) (l: list a)
: Lemma (requires (n <= length l)) (ensures (length (snd (splitAt n l)) = length l - n)) | val lemma_splitAt_snd_length (#a: Type) (n: nat) (l: list a)
: Lemma (requires (n <= length l)) (ensures (length (snd (splitAt n l)) = length l - n)) | let rec lemma_splitAt_snd_length (#a:Type) (n:nat) (l:list a) :
Lemma
(requires (n <= length l))
(ensures (length (snd (splitAt n l)) = length l - n)) =
match n, l with
| 0, _ -> ()
| _, [] -> ()
| _, _ :: l' -> lemma_splitAt_snd_length (n - 1) l' | {
"file_name": "ulib/FStar.List.Tot.Base.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 53,
"end_line": 457,
"start_col": 0,
"start_line": 450
} | (*
Copyright 2008-2014 Nikhil Swamy and 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.
*)
(**
This module defines all pure and total operations on lists that can be
used in specifications. It is implemented by FStar_List_Tot_Base.ml, any
functional change and/or the addition of new functions MUST be reflected
there.
@summary Pure total operations on lists
*)
module FStar.List.Tot.Base
(**
Base operations
*)
(** [isEmpty l] returns [true] if and only if [l] is empty *)
val isEmpty: list 'a -> Tot bool
let isEmpty l = match l with
| [] -> true
| _ -> false
(** [hd l] returns the first element of [l]. Requires [l] to be
nonempty, at type-checking time. Named as in: OCaml, F#, Coq *)
val hd: l:list 'a{Cons? l} -> Tot 'a
let hd = function
| hd::_ -> hd
(** [tail l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Similar to: tl in OCaml, F#, Coq
*)
val tail: l:list 'a {Cons? l} -> Tot (list 'a)
let tail = function
| _::tl -> tl
(** [tl l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Named as in: OCaml, F#, Coq
*)
val tl: l:list 'a {Cons? l} -> Tot (list 'a)
let tl = tail
(** [last l] returns the last element of [l]. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val last: l:list 'a {Cons? l} -> Tot 'a
let rec last = function
| [hd] -> hd
| _::tl -> last tl
(** [init l] returns [l] without its last element. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val init: l:list 'a {Cons? l} -> Tot (list 'a)
let rec init = function
| [_] -> []
| hd::tl -> hd::(init tl)
(** [length l] returns the total number of elements in [l]. Named as
in: OCaml, F#, Coq *)
val length: list 'a -> Tot nat
let rec length = function
| [] -> 0
| _::tl -> 1 + length tl
(** [nth l n] returns the [n]-th element in list [l] (with the first
element being the 0-th) if [l] is long enough, or [None]
otherwise. Named as in: OCaml, F#, Coq *)
val nth: list 'a -> nat -> Tot (option 'a)
let rec nth l n = match l with
| [] -> None
| hd::tl -> if n = 0 then Some hd else nth tl (n - 1)
(** [index l n] returns the [n]-th element in list [l] (with the first
element being the 0-th). Requires, at type-checking time, that [l] be
of length at least [n+1]. *)
val index: #a:Type -> l:list a -> i:nat{i < length l} -> Tot a
let rec index #a (l: list a) (i:nat{i < length l}): Tot a =
if i = 0 then
hd l
else
index (tl l) (i - 1)
(** [count x l] returns the number of occurrences of [x] in
[l]. Requires, at type-checking time, the type of [a] to have equality
defined. Similar to: [List.count_occ] in Coq. *)
val count: #a:eqtype -> a -> list a -> Tot nat
let rec count #a x = function
| [] -> 0
| hd::tl -> if x=hd then 1 + count x tl else count x tl
(** [rev_acc l1 l2] appends the elements of [l1] to the beginning of
[l2], in reverse order. It is equivalent to [append (rev l1) l2], but
is tail-recursive. Similar to: [List.rev_append] in OCaml, Coq. *)
val rev_acc: list 'a -> list 'a -> Tot (list 'a)
let rec rev_acc l acc = match l with
| [] -> acc
| hd::tl -> rev_acc tl (hd::acc)
(** [rev l] returns the list [l] in reverse order. Named as in: OCaml,
F#, Coq. *)
val rev: list 'a -> Tot (list 'a)
let rev l = rev_acc l []
(** [append l1 l2] appends the elements of [l2] to the end of [l1]. Named as: OCaml, F#. Similar to: [List.app] in Coq. *)
val append: list 'a -> list 'a -> Tot (list 'a)
let rec append x y = match x with
| [] -> y
| a::tl -> a::append tl y
(** Defines notation [@@] for [append], as in OCaml, F# . *)
let op_At x y = append x y
(** [snoc (l, x)] adds [x] to the end of the list [l].
Note: We use an uncurried [snoc (l, x)] instead of the curried
[snoc l x]. This is intentional. If [snoc] takes a pair instead
of 2 arguments, it allows for a better pattern on
[lemma_unsnoc_snoc], which connects [snoc] and [unsnoc]. In
particular, if we had two arguments, then either the pattern would
either be too restrictive or would lead to over-triggering. More
context for this can be seen in the (collapsed and uncollapsed)
comments at https://github.com/FStarLang/FStar/pull/1560 *)
val snoc: (list 'a * 'a) -> Tot (list 'a)
let snoc (l, x) = append l [x]
(** [flatten l], where [l] is a list of lists, returns the list of the
elements of the lists in [l], preserving their order. Named as in:
OCaml, Coq. *)
val flatten: list (list 'a) -> Tot (list 'a)
let rec flatten l = match l with
| [] -> []
| hd::tl -> append hd (flatten tl)
(** [map f l] applies [f] to each element of [l] and returns the list
of results, in the order of the original elements in [l]. Requires, at
type-checking time, [f] to be a pure total function. Named as in: OCaml, Coq, F# *)
val map: ('a -> Tot 'b) -> list 'a -> Tot (list 'b)
let rec map f x = match x with
| [] -> []
| a::tl -> f a::map f tl
(** [mapi_init f l n] applies, for each [k], [f (n+k)] to the [k]-th
element of [l] and returns the list of results, in the order of the
original elements in [l]. Requires, at type-checking time, [f] to be a
pure total function. *)
val mapi_init: (int -> 'a -> Tot 'b) -> list 'a -> int -> Tot (list 'b)
let rec mapi_init f l i = match l with
| [] -> []
| hd::tl -> (f i hd)::(mapi_init f tl (i+1))
(** [mapi f l] applies, for each [k], [f k] to the [k]-th element of
[l] and returns the list of results, in the order of the original
elements in [l]. Requires, at type-checking time, [f] to be a pure
total function. Named as in: OCaml *)
val mapi: (int -> 'a -> Tot 'b) -> list 'a -> Tot (list 'b)
let mapi f l = mapi_init f l 0
(** [concatMap f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. This is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. *)
val concatMap: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec concatMap f = function
| [] -> []
| a::tl ->
let fa = f a in
let ftl = concatMap f tl in
append fa ftl
(** [fold_left f x [y1; y2; ...; yn]] computes (f (... (f x y1) y2)
... yn). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq. *)
val fold_left: ('a -> 'b -> Tot 'a) -> 'a -> l:list 'b -> Tot 'a (decreases l)
let rec fold_left f x l = match l with
| [] -> x
| hd::tl -> fold_left f (f x hd) tl
(** [fold_right f [x1; x2; ...; xn] y] computes (f x1 (f x2 (... (f xn
y)) ... )). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq *)
val fold_right: ('a -> 'b -> Tot 'b) -> list 'a -> 'b -> Tot 'b
let rec fold_right f l x = match l with
| [] -> x
| hd::tl -> f hd (fold_right f tl x)
(** [fold_right_gtot] is just like [fold_right], except `f` is
a ghost function **)
let rec fold_right_gtot (#a:Type) (#b:Type) (l:list a) (f:a -> b -> GTot b) (x:b)
: GTot b
= match l with
| [] -> x
| hd::tl -> f hd (fold_right_gtot tl f x)
(* We define map in terms of fold, to share simple lemmas *)
let map_gtot #a #b (f:a -> GTot b) (x:list a)
: GTot (list b)
= fold_right_gtot x (fun x tl -> f x :: tl) []
(** [fold_left2 f x [y1; y2; ...; yn] [z1; z2; ...; zn]] computes (f
(... (f x y1 z1) y2 z2) ... yn zn). Requires, at type-checking time,
[f] to be a pure total function, and the lists [y1; y2; ...; yn] and
[z1; z2; ...; zn] to have the same lengths. Named as in: OCaml *)
val fold_left2 : f:('a -> 'b -> 'c -> Tot 'a) -> accu:'a -> l1:(list 'b) -> l2:(list 'c) ->
Pure 'a (requires (length l1 == length l2)) (ensures (fun _ -> True)) (decreases l1)
let rec fold_left2 f accu l1 l2 =
match (l1, l2) with
| ([], []) -> accu
| (a1::l1, a2::l2) -> fold_left2 f (f accu a1 a2) l1 l2
(** Propositional membership (as in Coq). Does not require decidable
equality. *)
(** [memP x l] holds if, and only if, [x] appears as an
element of [l]. Similar to: List.In in Coq. *)
let rec memP (#a: Type) (x: a) (l: list a) : Tot Type0 =
match l with
| [] -> False
| y :: q -> x == y \/ memP x q
(** List searching **)
(** [mem x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. Named as in: OCaml. See also:
List.In in Coq, which is propositional. *)
val mem: #a:eqtype -> a -> list a -> Tot bool
let rec mem #a x = function
| [] -> false
| hd::tl -> if hd = x then true else mem x tl
(** [contains x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. It is equivalent to: [mem x
l]. TODO: should we rather swap the order of arguments? *)
let contains : #a:eqtype -> a -> list a -> Tot bool = mem
(** [existsb f l] returns [true] if, and only if, there exists some
element [x] in [l] such that [f x] holds. *)
val existsb: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot bool
let rec existsb #a f l = match l with
| [] -> false
| hd::tl -> if f hd then true else existsb f tl
(** [find f l] returns [Some x] for some element [x] appearing in [l]
such that [f x] holds, or [None] only if no such [x] exists. *)
val find: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot (option (x:a{f x}))
let rec find #a f l = match l with
| [] -> None #(x:a{f x}) //These type annotations are only present because it makes bootstrapping go much faster
| hd::tl -> if f hd then Some #(x:a{f x}) hd else find f tl
(** Filtering elements of a list [l] through a Boolean pure total
predicate [f] *)
(** [filter f l] returns [l] with all elements [x] such that [f x]
does not hold removed. Requires, at type-checking time, [f] to be a
pure total function. Named as in: OCaml, Coq *)
val filter : #a: Type -> f:(a -> Tot bool) -> l: list a -> Tot (m:list a{forall x. memP x m ==> f x})
let rec filter #a f = function
| [] -> []
| hd::tl -> if f hd then hd::filter f tl else filter f tl
(** Postcondition on [filter f l]: for any element [x] of [filter f l],
[f x] holds. Requires, at type-checking time, [f] to be a pure total
function.*)
val mem_filter (#a:Type) (f: (a -> Tot bool)) (l: list a) (x: a) : Lemma
(requires (memP x (filter f l)))
(ensures (f x))
let mem_filter f l x = ()
(** Postcondition on [filter f l]: stated with [forall]: for any element
[x] of [filter f l], [f x] holds. Requires, at type-checking time, [f]
to be a pure total function. *)
val mem_filter_forall (#a:Type) (f: (a -> Tot bool)) (l: list a) : Lemma
(requires True)
(ensures (forall x . memP x (filter f l) ==> f x))
[SMTPat (filter f l)]
let mem_filter_forall f l = FStar.Classical.ghost_lemma (mem_filter f l)
(** [for_all f l] returns [true] if, and only if, for all elements [x]
appearing in [l], [f x] holds. Requires, at type-checking time, [f] to
be a pure total function. Named as in: OCaml. Similar to: List.forallb
in Coq *)
val for_all: ('a -> Tot bool) -> list 'a -> Tot bool
let rec for_all f l = match l with
| [] -> true
| hd::tl -> if f hd then for_all f tl else false
(** Specification for [for_all f l] vs. mem *)
let rec for_all_mem
(#a: Type)
(f: (a -> Tot bool))
(l: list a)
: Lemma
(for_all f l <==> (forall x . memP x l ==> f x))
= match l with
| [] -> ()
| _ :: q -> for_all_mem f q
(** [collect f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. It is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. TODO: what is
the difference with [concatMap]? *)
val collect: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec collect f l = match l with
| [] -> []
| hd::tl -> append (f hd) (collect f tl)
(** [tryFind f l] returns [Some x] for some element [x] appearing in
[l] such that [f x] holds, or [None] only if no such [x]
exists. Requires, at type-checking time, [f] to be a pure total
function. Contrary to [find], [tryFind] provides no postcondition on
its result. *)
val tryFind: ('a -> Tot bool) -> list 'a -> Tot (option 'a)
let rec tryFind p l = match l with
| [] -> None
| hd::tl -> if p hd then Some hd else tryFind p tl
(** [tryPick f l] returns [y] for some element [x] appearing in [l]
such that [f x = Some y] for some y, or [None] only if [f x = None]
for all elements [x] of [l]. Requires, at type-checking time, [f] to
be a pure total function. *)
val tryPick: ('a -> Tot (option 'b)) -> list 'a -> Tot (option 'b)
let rec tryPick f l = match l with
| [] -> None
| hd::tl ->
match f hd with
| Some x -> Some x
| None -> tryPick f tl
(** [choose f l] returns the list of [y] for all elements [x]
appearing in [l] such that [f x = Some y] for some [y]. Requires, at
type-checking time, [f] to be a pure total function. *)
val choose: ('a -> Tot (option 'b)) -> list 'a -> Tot (list 'b)
let rec choose f l = match l with
| [] -> []
| hd::tl ->
match f hd with
| Some x -> x::(choose f tl)
| None -> choose f tl
(** [partition f l] returns the pair of lists [(l1, l2)] where all
elements [x] of [l] are in [l1] if [f x] holds, and in [l2]
otherwise. Both [l1] and [l2] retain the original order of
[l]. Requires, at type-checking time, [f] to be a pure total
function. *)
val partition: f:('a -> Tot bool) -> list 'a -> Tot (list 'a * list 'a)
let rec partition f = function
| [] -> [], []
| hd::tl ->
let l1, l2 = partition f tl in
if f hd
then hd::l1, l2
else l1, hd::l2
(** [subset la lb] is true if and only if all the elements from [la]
are also in [lb]. Requires, at type-checking time, the type of
elements of [la] and [lb] to have decidable equality. *)
val subset: #a:eqtype -> list a -> list a -> Tot bool
let rec subset #a la lb =
match la with
| [] -> true
| h :: tl -> mem h lb && subset tl lb
(** [noRepeats l] returns [true] if, and only if, no element of [l]
appears in [l] more than once. Requires, at type-checking time, the
type of elements of [la] and [lb] to have decidable equality. *)
val noRepeats : #a:eqtype -> list a -> Tot bool
let rec noRepeats #a la =
match la with
| [] -> true
| h :: tl -> not(mem h tl) && noRepeats tl
(** [no_repeats_p l] valid if, and only if, no element of [l]
appears in [l] more than once. *)
val no_repeats_p : #a:Type -> list a -> Tot prop
let rec no_repeats_p #a la =
match la with
| [] -> True
| h :: tl -> ~(memP h tl) /\ no_repeats_p tl
(** List of tuples **)
(** [assoc x l] returns [Some y] where [(x, y)] is the first element
of [l] whose first element is [x], or [None] only if no such element
exists. Requires, at type-checking time, the type of [x] to have
decidable equality. Named as in: OCaml. *)
val assoc: #a:eqtype -> #b:Type -> a -> list (a * b) -> Tot (option b)
let rec assoc #a #b x = function
| [] -> None
| (x', y)::tl -> if x=x' then Some y else assoc x tl
(** [split] takes a list of pairs [(x1, y1), ..., (xn, yn)] and
returns the pair of lists ([x1, ..., xn], [y1, ..., yn]). Named as in:
OCaml *)
val split: list ('a * 'b) -> Tot (list 'a * list 'b)
let rec split l = match l with
| [] -> ([],[])
| (hd1,hd2)::tl ->
let (tl1,tl2) = split tl in
(hd1::tl1,hd2::tl2)
(** [unzip] takes a list of pairs [(x1, y1), ..., (xn, yn)] and
returns the pair of lists ([x1, ..., xn], [y1, ..., yn]). Named as in:
Haskell *)
let unzip l = split l
(** [unzip3] takes a list of triples [(x1, y1, z1), ..., (xn, yn, zn)]
and returns the triple of lists ([x1, ..., xn], [y1, ..., yn], [z1,
..., zn]). Named as in: Haskell *)
val unzip3: list ('a * 'b * 'c) -> Tot (list 'a * list 'b * list 'c)
let rec unzip3 l = match l with
| [] -> ([],[],[])
| (hd1,hd2,hd3)::tl ->
let (tl1,tl2,tl3) = unzip3 tl in
(hd1::tl1,hd2::tl2,hd3::tl3)
(** Splitting a list at some index **)
(** [splitAt] takes a natural number n and a list and returns a pair
of the maximal prefix of l of size smaller than n and the rest of
the list *)
let rec splitAt (#a:Type) (n:nat) (l:list a) : Tot (list a * list a) =
if n = 0 then [], l
else
match l with
| [] -> [], l
| x :: xs -> let l1, l2 = splitAt (n-1) xs in x :: l1, l2 | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.List.Tot.Base.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"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 | n: Prims.nat -> l: Prims.list a
-> FStar.Pervasives.Lemma (requires n <= FStar.List.Tot.Base.length l)
(ensures
FStar.List.Tot.Base.length (FStar.Pervasives.Native.snd (FStar.List.Tot.Base.splitAt n l)) =
FStar.List.Tot.Base.length l - n) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"Prims.nat",
"Prims.list",
"FStar.Pervasives.Native.Mktuple2",
"Prims.int",
"FStar.List.Tot.Base.lemma_splitAt_snd_length",
"Prims.op_Subtraction",
"Prims.unit",
"Prims.b2t",
"Prims.op_LessThanOrEqual",
"FStar.List.Tot.Base.length",
"Prims.squash",
"Prims.op_Equality",
"FStar.Pervasives.Native.snd",
"FStar.List.Tot.Base.splitAt",
"Prims.Nil",
"FStar.Pervasives.pattern"
] | [
"recursion"
] | false | false | true | false | false | let rec lemma_splitAt_snd_length (#a: Type) (n: nat) (l: list a)
: Lemma (requires (n <= length l)) (ensures (length (snd (splitAt n l)) = length l - n)) =
| match n, l with
| 0, _ -> ()
| _, [] -> ()
| _, _ :: l' -> lemma_splitAt_snd_length (n - 1) l' | false |
FStar.List.Tot.Base.fst | FStar.List.Tot.Base.assoc | val assoc: #a:eqtype -> #b:Type -> a -> list (a * b) -> Tot (option b) | val assoc: #a:eqtype -> #b:Type -> a -> list (a * b) -> Tot (option b) | let rec assoc #a #b x = function
| [] -> None
| (x', y)::tl -> if x=x' then Some y else assoc x tl | {
"file_name": "ulib/FStar.List.Tot.Base.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 54,
"end_line": 411,
"start_col": 0,
"start_line": 409
} | (*
Copyright 2008-2014 Nikhil Swamy and 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.
*)
(**
This module defines all pure and total operations on lists that can be
used in specifications. It is implemented by FStar_List_Tot_Base.ml, any
functional change and/or the addition of new functions MUST be reflected
there.
@summary Pure total operations on lists
*)
module FStar.List.Tot.Base
(**
Base operations
*)
(** [isEmpty l] returns [true] if and only if [l] is empty *)
val isEmpty: list 'a -> Tot bool
let isEmpty l = match l with
| [] -> true
| _ -> false
(** [hd l] returns the first element of [l]. Requires [l] to be
nonempty, at type-checking time. Named as in: OCaml, F#, Coq *)
val hd: l:list 'a{Cons? l} -> Tot 'a
let hd = function
| hd::_ -> hd
(** [tail l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Similar to: tl in OCaml, F#, Coq
*)
val tail: l:list 'a {Cons? l} -> Tot (list 'a)
let tail = function
| _::tl -> tl
(** [tl l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Named as in: OCaml, F#, Coq
*)
val tl: l:list 'a {Cons? l} -> Tot (list 'a)
let tl = tail
(** [last l] returns the last element of [l]. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val last: l:list 'a {Cons? l} -> Tot 'a
let rec last = function
| [hd] -> hd
| _::tl -> last tl
(** [init l] returns [l] without its last element. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val init: l:list 'a {Cons? l} -> Tot (list 'a)
let rec init = function
| [_] -> []
| hd::tl -> hd::(init tl)
(** [length l] returns the total number of elements in [l]. Named as
in: OCaml, F#, Coq *)
val length: list 'a -> Tot nat
let rec length = function
| [] -> 0
| _::tl -> 1 + length tl
(** [nth l n] returns the [n]-th element in list [l] (with the first
element being the 0-th) if [l] is long enough, or [None]
otherwise. Named as in: OCaml, F#, Coq *)
val nth: list 'a -> nat -> Tot (option 'a)
let rec nth l n = match l with
| [] -> None
| hd::tl -> if n = 0 then Some hd else nth tl (n - 1)
(** [index l n] returns the [n]-th element in list [l] (with the first
element being the 0-th). Requires, at type-checking time, that [l] be
of length at least [n+1]. *)
val index: #a:Type -> l:list a -> i:nat{i < length l} -> Tot a
let rec index #a (l: list a) (i:nat{i < length l}): Tot a =
if i = 0 then
hd l
else
index (tl l) (i - 1)
(** [count x l] returns the number of occurrences of [x] in
[l]. Requires, at type-checking time, the type of [a] to have equality
defined. Similar to: [List.count_occ] in Coq. *)
val count: #a:eqtype -> a -> list a -> Tot nat
let rec count #a x = function
| [] -> 0
| hd::tl -> if x=hd then 1 + count x tl else count x tl
(** [rev_acc l1 l2] appends the elements of [l1] to the beginning of
[l2], in reverse order. It is equivalent to [append (rev l1) l2], but
is tail-recursive. Similar to: [List.rev_append] in OCaml, Coq. *)
val rev_acc: list 'a -> list 'a -> Tot (list 'a)
let rec rev_acc l acc = match l with
| [] -> acc
| hd::tl -> rev_acc tl (hd::acc)
(** [rev l] returns the list [l] in reverse order. Named as in: OCaml,
F#, Coq. *)
val rev: list 'a -> Tot (list 'a)
let rev l = rev_acc l []
(** [append l1 l2] appends the elements of [l2] to the end of [l1]. Named as: OCaml, F#. Similar to: [List.app] in Coq. *)
val append: list 'a -> list 'a -> Tot (list 'a)
let rec append x y = match x with
| [] -> y
| a::tl -> a::append tl y
(** Defines notation [@@] for [append], as in OCaml, F# . *)
let op_At x y = append x y
(** [snoc (l, x)] adds [x] to the end of the list [l].
Note: We use an uncurried [snoc (l, x)] instead of the curried
[snoc l x]. This is intentional. If [snoc] takes a pair instead
of 2 arguments, it allows for a better pattern on
[lemma_unsnoc_snoc], which connects [snoc] and [unsnoc]. In
particular, if we had two arguments, then either the pattern would
either be too restrictive or would lead to over-triggering. More
context for this can be seen in the (collapsed and uncollapsed)
comments at https://github.com/FStarLang/FStar/pull/1560 *)
val snoc: (list 'a * 'a) -> Tot (list 'a)
let snoc (l, x) = append l [x]
(** [flatten l], where [l] is a list of lists, returns the list of the
elements of the lists in [l], preserving their order. Named as in:
OCaml, Coq. *)
val flatten: list (list 'a) -> Tot (list 'a)
let rec flatten l = match l with
| [] -> []
| hd::tl -> append hd (flatten tl)
(** [map f l] applies [f] to each element of [l] and returns the list
of results, in the order of the original elements in [l]. Requires, at
type-checking time, [f] to be a pure total function. Named as in: OCaml, Coq, F# *)
val map: ('a -> Tot 'b) -> list 'a -> Tot (list 'b)
let rec map f x = match x with
| [] -> []
| a::tl -> f a::map f tl
(** [mapi_init f l n] applies, for each [k], [f (n+k)] to the [k]-th
element of [l] and returns the list of results, in the order of the
original elements in [l]. Requires, at type-checking time, [f] to be a
pure total function. *)
val mapi_init: (int -> 'a -> Tot 'b) -> list 'a -> int -> Tot (list 'b)
let rec mapi_init f l i = match l with
| [] -> []
| hd::tl -> (f i hd)::(mapi_init f tl (i+1))
(** [mapi f l] applies, for each [k], [f k] to the [k]-th element of
[l] and returns the list of results, in the order of the original
elements in [l]. Requires, at type-checking time, [f] to be a pure
total function. Named as in: OCaml *)
val mapi: (int -> 'a -> Tot 'b) -> list 'a -> Tot (list 'b)
let mapi f l = mapi_init f l 0
(** [concatMap f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. This is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. *)
val concatMap: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec concatMap f = function
| [] -> []
| a::tl ->
let fa = f a in
let ftl = concatMap f tl in
append fa ftl
(** [fold_left f x [y1; y2; ...; yn]] computes (f (... (f x y1) y2)
... yn). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq. *)
val fold_left: ('a -> 'b -> Tot 'a) -> 'a -> l:list 'b -> Tot 'a (decreases l)
let rec fold_left f x l = match l with
| [] -> x
| hd::tl -> fold_left f (f x hd) tl
(** [fold_right f [x1; x2; ...; xn] y] computes (f x1 (f x2 (... (f xn
y)) ... )). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq *)
val fold_right: ('a -> 'b -> Tot 'b) -> list 'a -> 'b -> Tot 'b
let rec fold_right f l x = match l with
| [] -> x
| hd::tl -> f hd (fold_right f tl x)
(** [fold_right_gtot] is just like [fold_right], except `f` is
a ghost function **)
let rec fold_right_gtot (#a:Type) (#b:Type) (l:list a) (f:a -> b -> GTot b) (x:b)
: GTot b
= match l with
| [] -> x
| hd::tl -> f hd (fold_right_gtot tl f x)
(* We define map in terms of fold, to share simple lemmas *)
let map_gtot #a #b (f:a -> GTot b) (x:list a)
: GTot (list b)
= fold_right_gtot x (fun x tl -> f x :: tl) []
(** [fold_left2 f x [y1; y2; ...; yn] [z1; z2; ...; zn]] computes (f
(... (f x y1 z1) y2 z2) ... yn zn). Requires, at type-checking time,
[f] to be a pure total function, and the lists [y1; y2; ...; yn] and
[z1; z2; ...; zn] to have the same lengths. Named as in: OCaml *)
val fold_left2 : f:('a -> 'b -> 'c -> Tot 'a) -> accu:'a -> l1:(list 'b) -> l2:(list 'c) ->
Pure 'a (requires (length l1 == length l2)) (ensures (fun _ -> True)) (decreases l1)
let rec fold_left2 f accu l1 l2 =
match (l1, l2) with
| ([], []) -> accu
| (a1::l1, a2::l2) -> fold_left2 f (f accu a1 a2) l1 l2
(** Propositional membership (as in Coq). Does not require decidable
equality. *)
(** [memP x l] holds if, and only if, [x] appears as an
element of [l]. Similar to: List.In in Coq. *)
let rec memP (#a: Type) (x: a) (l: list a) : Tot Type0 =
match l with
| [] -> False
| y :: q -> x == y \/ memP x q
(** List searching **)
(** [mem x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. Named as in: OCaml. See also:
List.In in Coq, which is propositional. *)
val mem: #a:eqtype -> a -> list a -> Tot bool
let rec mem #a x = function
| [] -> false
| hd::tl -> if hd = x then true else mem x tl
(** [contains x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. It is equivalent to: [mem x
l]. TODO: should we rather swap the order of arguments? *)
let contains : #a:eqtype -> a -> list a -> Tot bool = mem
(** [existsb f l] returns [true] if, and only if, there exists some
element [x] in [l] such that [f x] holds. *)
val existsb: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot bool
let rec existsb #a f l = match l with
| [] -> false
| hd::tl -> if f hd then true else existsb f tl
(** [find f l] returns [Some x] for some element [x] appearing in [l]
such that [f x] holds, or [None] only if no such [x] exists. *)
val find: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot (option (x:a{f x}))
let rec find #a f l = match l with
| [] -> None #(x:a{f x}) //These type annotations are only present because it makes bootstrapping go much faster
| hd::tl -> if f hd then Some #(x:a{f x}) hd else find f tl
(** Filtering elements of a list [l] through a Boolean pure total
predicate [f] *)
(** [filter f l] returns [l] with all elements [x] such that [f x]
does not hold removed. Requires, at type-checking time, [f] to be a
pure total function. Named as in: OCaml, Coq *)
val filter : #a: Type -> f:(a -> Tot bool) -> l: list a -> Tot (m:list a{forall x. memP x m ==> f x})
let rec filter #a f = function
| [] -> []
| hd::tl -> if f hd then hd::filter f tl else filter f tl
(** Postcondition on [filter f l]: for any element [x] of [filter f l],
[f x] holds. Requires, at type-checking time, [f] to be a pure total
function.*)
val mem_filter (#a:Type) (f: (a -> Tot bool)) (l: list a) (x: a) : Lemma
(requires (memP x (filter f l)))
(ensures (f x))
let mem_filter f l x = ()
(** Postcondition on [filter f l]: stated with [forall]: for any element
[x] of [filter f l], [f x] holds. Requires, at type-checking time, [f]
to be a pure total function. *)
val mem_filter_forall (#a:Type) (f: (a -> Tot bool)) (l: list a) : Lemma
(requires True)
(ensures (forall x . memP x (filter f l) ==> f x))
[SMTPat (filter f l)]
let mem_filter_forall f l = FStar.Classical.ghost_lemma (mem_filter f l)
(** [for_all f l] returns [true] if, and only if, for all elements [x]
appearing in [l], [f x] holds. Requires, at type-checking time, [f] to
be a pure total function. Named as in: OCaml. Similar to: List.forallb
in Coq *)
val for_all: ('a -> Tot bool) -> list 'a -> Tot bool
let rec for_all f l = match l with
| [] -> true
| hd::tl -> if f hd then for_all f tl else false
(** Specification for [for_all f l] vs. mem *)
let rec for_all_mem
(#a: Type)
(f: (a -> Tot bool))
(l: list a)
: Lemma
(for_all f l <==> (forall x . memP x l ==> f x))
= match l with
| [] -> ()
| _ :: q -> for_all_mem f q
(** [collect f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. It is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. TODO: what is
the difference with [concatMap]? *)
val collect: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec collect f l = match l with
| [] -> []
| hd::tl -> append (f hd) (collect f tl)
(** [tryFind f l] returns [Some x] for some element [x] appearing in
[l] such that [f x] holds, or [None] only if no such [x]
exists. Requires, at type-checking time, [f] to be a pure total
function. Contrary to [find], [tryFind] provides no postcondition on
its result. *)
val tryFind: ('a -> Tot bool) -> list 'a -> Tot (option 'a)
let rec tryFind p l = match l with
| [] -> None
| hd::tl -> if p hd then Some hd else tryFind p tl
(** [tryPick f l] returns [y] for some element [x] appearing in [l]
such that [f x = Some y] for some y, or [None] only if [f x = None]
for all elements [x] of [l]. Requires, at type-checking time, [f] to
be a pure total function. *)
val tryPick: ('a -> Tot (option 'b)) -> list 'a -> Tot (option 'b)
let rec tryPick f l = match l with
| [] -> None
| hd::tl ->
match f hd with
| Some x -> Some x
| None -> tryPick f tl
(** [choose f l] returns the list of [y] for all elements [x]
appearing in [l] such that [f x = Some y] for some [y]. Requires, at
type-checking time, [f] to be a pure total function. *)
val choose: ('a -> Tot (option 'b)) -> list 'a -> Tot (list 'b)
let rec choose f l = match l with
| [] -> []
| hd::tl ->
match f hd with
| Some x -> x::(choose f tl)
| None -> choose f tl
(** [partition f l] returns the pair of lists [(l1, l2)] where all
elements [x] of [l] are in [l1] if [f x] holds, and in [l2]
otherwise. Both [l1] and [l2] retain the original order of
[l]. Requires, at type-checking time, [f] to be a pure total
function. *)
val partition: f:('a -> Tot bool) -> list 'a -> Tot (list 'a * list 'a)
let rec partition f = function
| [] -> [], []
| hd::tl ->
let l1, l2 = partition f tl in
if f hd
then hd::l1, l2
else l1, hd::l2
(** [subset la lb] is true if and only if all the elements from [la]
are also in [lb]. Requires, at type-checking time, the type of
elements of [la] and [lb] to have decidable equality. *)
val subset: #a:eqtype -> list a -> list a -> Tot bool
let rec subset #a la lb =
match la with
| [] -> true
| h :: tl -> mem h lb && subset tl lb
(** [noRepeats l] returns [true] if, and only if, no element of [l]
appears in [l] more than once. Requires, at type-checking time, the
type of elements of [la] and [lb] to have decidable equality. *)
val noRepeats : #a:eqtype -> list a -> Tot bool
let rec noRepeats #a la =
match la with
| [] -> true
| h :: tl -> not(mem h tl) && noRepeats tl
(** [no_repeats_p l] valid if, and only if, no element of [l]
appears in [l] more than once. *)
val no_repeats_p : #a:Type -> list a -> Tot prop
let rec no_repeats_p #a la =
match la with
| [] -> True
| h :: tl -> ~(memP h tl) /\ no_repeats_p tl
(** List of tuples **)
(** [assoc x l] returns [Some y] where [(x, y)] is the first element
of [l] whose first element is [x], or [None] only if no such element
exists. Requires, at type-checking time, the type of [x] to have
decidable equality. Named as in: OCaml. *) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.List.Tot.Base.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"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 | x: a -> _: Prims.list (a * b) -> FStar.Pervasives.Native.option b | Prims.Tot | [
"total"
] | [] | [
"Prims.eqtype",
"Prims.list",
"FStar.Pervasives.Native.tuple2",
"FStar.Pervasives.Native.None",
"Prims.op_Equality",
"FStar.Pervasives.Native.Some",
"Prims.bool",
"FStar.List.Tot.Base.assoc",
"FStar.Pervasives.Native.option"
] | [
"recursion"
] | false | false | false | false | false | let rec assoc #a #b x =
| function
| [] -> None
| (x', y) :: tl -> if x = x' then Some y else assoc x tl | false |
Vale.PPC64LE.Memory_Sems.fst | Vale.PPC64LE.Memory_Sems.low_lemma_store_mem128_lo64_full | val low_lemma_store_mem128_lo64_full (b:buffer128) (i:nat) (v:nat64) (vfh:vale_full_heap) (t:taint) (hid:heaplet_id) : Lemma
(requires (
let (h, mt) = (Map16.get vfh.vf_heaplets hid, vfh.vf_layout.vl_taint) in
i < Seq.length (buffer_as_seq h b) /\
buffer_readable h b /\
buffer_writeable b /\
valid_layout_buffer b vfh.vf_layout h true /\
valid_taint_buf128 b h mt t /\
mem_inv vfh
))
(ensures (
let h = Map16.get vfh.vf_heaplets hid in
let ptr = buffer_addr b h + scale16 i in
let v' = insert_nat64 (buffer_read b i h) v 0 in
buffer_addr b vfh.vf_heap == buffer_addr b h /\
valid_addr64 ptr (heap_get (coerce vfh)) /\
is_full_update vfh (buffer_write b i v' h) hid
(S.update_heap64 ptr v (heap_get (coerce vfh)))
(S.update_n ptr 8 (heap_taint (coerce vfh)) t)
)) | val low_lemma_store_mem128_lo64_full (b:buffer128) (i:nat) (v:nat64) (vfh:vale_full_heap) (t:taint) (hid:heaplet_id) : Lemma
(requires (
let (h, mt) = (Map16.get vfh.vf_heaplets hid, vfh.vf_layout.vl_taint) in
i < Seq.length (buffer_as_seq h b) /\
buffer_readable h b /\
buffer_writeable b /\
valid_layout_buffer b vfh.vf_layout h true /\
valid_taint_buf128 b h mt t /\
mem_inv vfh
))
(ensures (
let h = Map16.get vfh.vf_heaplets hid in
let ptr = buffer_addr b h + scale16 i in
let v' = insert_nat64 (buffer_read b i h) v 0 in
buffer_addr b vfh.vf_heap == buffer_addr b h /\
valid_addr64 ptr (heap_get (coerce vfh)) /\
is_full_update vfh (buffer_write b i v' h) hid
(S.update_heap64 ptr v (heap_get (coerce vfh)))
(S.update_n ptr 8 (heap_taint (coerce vfh)) t)
)) | let low_lemma_store_mem128_lo64_full b i v vfh t hid =
let (h, mt, hk) = (vfh.vf_heap, vfh.vf_layout.vl_taint, Map16.get vfh.vf_heaplets hid) in
let v' = insert_nat64 (buffer_read b i hk) v 0 in
let ptr = buffer_addr b hk + scale16 i in
let mh' = S.update_heap128 ptr v' (heap_get (coerce vfh)) in
let mt' = S.update_n ptr 16 (heap_taint (coerce vfh)) t in
let hk' = buffer_write b i v' hk in
let mhk' = S.update_heap128 ptr v' (get_heap hk) in
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
low_lemma_store_mem128 b i v' h;
low_lemma_store_mem128 b i v' (Map16.get vfh.vf_heaplets hid);
Vale.Arch.MachineHeap.frame_update_heap128 ptr v' h.mh;
Vale.Arch.MachineHeap.frame_update_heap128 ptr v' hk.mh;
in_bounds128 hk b i;
Vale.Arch.MachineHeap.same_mem_get_heap_val128 ptr mh' mhk';
lemma_is_full_update vfh h hk hk' hid h.mh mh' hk.mh mhk' mt mt' TUInt128 b ptr 16 i v' t;
low_lemma_store_mem128_lo64 b i v h;
low_lemma_valid_mem128_64 b i h;
assert (Map.equal mt (S.update_n (buffer_addr b h + scale16 i) 8 mt t));
() | {
"file_name": "vale/code/arch/ppc64le/Vale.PPC64LE.Memory_Sems.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 4,
"end_line": 1104,
"start_col": 0,
"start_line": 1085
} | module Vale.PPC64LE.Memory_Sems
open FStar.Mul
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.Def.Words_s
module I = Vale.Interop
module S = Vale.PPC64LE.Semantics_s
module MB = LowStar.Monotonic.Buffer
module UV = LowStar.BufferView.Up
module DV = LowStar.BufferView.Down
open Vale.Lib.BufferViewHelpers
open Vale.Arch.HeapImpl
open Vale.Arch.Heap
friend Vale.PPC64LE.Memory
module IB = Vale.Interop.Base
let same_domain h m = Set.equal (IB.addrs_set (_ih h)) (Map.domain m)
let lemma_same_domains h m1 m2 = ()
let get_heap h = I.down_mem (_ih h)
let upd_heap h m = mi_heap_upd h m
//let lemma_upd_get_heap h = I.down_up_identity (_ih h)
let lemma_get_upd_heap h m = I.up_down_identity (_ih h) m
let lemma_heap_impl = ()
let lemma_heap_get_heap h = ()
let lemma_heap_taint h = ()
//let lemma_heap_upd_heap h mh mt = ()
[@"opaque_to_smt"]
let rec set_of_range (a:int) (n:nat) : Pure (Set.set int)
(requires True)
(ensures fun s -> (forall (i:int).{:pattern Set.mem i s} Set.mem i s <==> a <= i /\ i < a + n))
=
if n = 0 then Set.empty else Set.union (set_of_range a (n - 1)) (Set.singleton (a + n - 1))
let buffer_info_has_addr (bi:buffer_info) (a:int) =
let b = bi.bi_buffer in
let addr = Vale.Interop.Heap_s.global_addrs_map b in
let len = DV.length (get_downview b.bsrc) in
addr <= a /\ a < addr + len
let buffer_info_has_addr_opt (bi:option buffer_info) (a:int) =
match bi with
| None -> False
| Some bi -> buffer_info_has_addr bi a
#set-options "--z3rlimit 100"
let rec make_owns_rec (h:vale_heap) (bs:Seq.seq buffer_info) (n:nat{n <= Seq.length bs}) :
GTot ((int -> option (n:nat{n < Seq.length bs})) & (heaplet_id -> Set.set int))
=
if n = 0 then ((fun _ -> None), (fun _ -> Set.empty)) else
let (m0, s0) = make_owns_rec h bs (n - 1) in
let bi = Seq.index bs (n - 1) in
let b = bi.bi_buffer in
let hi = bi.bi_heaplet in
let addr = Vale.Interop.Heap_s.global_addrs_map b in
let len = DV.length (get_downview b.bsrc) in
let s_b = set_of_range addr len in
let s i = if i = hi then Set.union (s0 i) s_b else s0 i in
let m a = if addr <= a && a < addr + len then Some (n - 1) else m0 a in
(m, s)
[@"opaque_to_smt"]
let make_owns (h:vale_heap) (bs:Seq.seq buffer_info) (n:nat{n <= Seq.length bs}) :
GTot ((int -> option (n:nat{n < Seq.length bs})) & (heaplet_id -> Set.set int))
=
make_owns_rec h bs n
let rec lemma_make_owns (h:vale_heap) (bs:Seq.seq buffer_info) (n:nat) : Lemma
(requires
n <= Seq.length bs /\
(forall (i:nat).{:pattern Seq.index bs i} i < Seq.length bs ==> buffer_readable h (Seq.index bs i).bi_buffer) /\
(forall (i1 i2:nat).{:pattern (Seq.index bs i1); (Seq.index bs i2)}
i1 < Seq.length bs /\ i2 < Seq.length bs ==> buffer_info_disjoint (Seq.index bs i1) (Seq.index bs i2))
)
(ensures (
let (m, s) = make_owns h bs n in
(forall (i:heaplet_id) (a:int).{:pattern Set.mem a (s i)}
(Set.mem a (s i) <==> Option.mapTot (fun n -> (Seq.index bs n).bi_heaplet) (m a) == Some i) /\
(Set.mem a (s i) ==> buffer_info_has_addr_opt (Option.mapTot (fun n -> Seq.index bs n) (m a)) a) /\
(Set.mem a (s i) ==> Set.mem a (Map.domain h.mh))
) /\
(forall (k:nat) (a:int).{:pattern Set.mem a (s (Seq.index bs k).bi_heaplet)}
k < n /\ buffer_info_has_addr (Seq.index bs k) a ==> Set.mem a (s (Seq.index bs k).bi_heaplet))
))
=
reveal_opaque (`%make_owns) make_owns;
if n = 0 then () else
let _ = make_owns h bs (n - 1) in
let (m, s) = make_owns h bs n in
lemma_make_owns h bs (n - 1);
let bi = Seq.index bs (n - 1) in
let b = bi.bi_buffer in
let hi = bi.bi_heaplet in
let addr = Vale.Interop.Heap_s.global_addrs_map b in
let len = DV.length (get_downview b.bsrc) in
let s_b = set_of_range addr len in
let lem1 (a:int) : Lemma
(requires Set.mem a s_b)
(ensures Set.mem a (Map.domain h.mh))
[SMTPat (Set.mem a (Map.domain h.mh))]
=
I.addrs_set_mem h.ih b a
in
let lem2 (i:heaplet_id) (a:int) : Lemma
(requires i =!= hi /\ Set.mem a (Set.intersect s_b (s i)))
(ensures False)
[SMTPat (Set.mem a (s i))]
=
reveal_opaque (`%addr_map_pred) addr_map_pred
in
()
#push-options "--initial_fuel 1 --max_fuel 1 --initial_ifuel 2 --max_ifuel 2"
let rec lemma_loc_mutable_buffers_rec (l:list buffer_info) (s:Seq.seq buffer_info) (n:nat) : Lemma
(requires
n + List.length l == Seq.length s /\
list_to_seq_post l s n
)
(ensures (
let modloc = loc_mutable_buffers l in
forall (i:nat).{:pattern Seq.index s i} n <= i /\ i < Seq.length s ==> (
let bi = Seq.index s i in
bi.bi_mutable == Mutable ==> loc_includes modloc (loc_buffer bi.bi_buffer))
))
(decreases l)
=
match l with
| [] -> ()
| h::t -> lemma_loc_mutable_buffers_rec t s (n + 1)
#pop-options
let lemma_loc_mutable_buffers (l:list buffer_info) : Lemma
(ensures (
let s = list_to_seq l in
forall (i:nat).{:pattern Seq.index s i} i < Seq.length s ==> (
let bi = Seq.index s i in
bi.bi_mutable == Mutable ==> loc_includes (loc_mutable_buffers l) (loc_buffer bi.bi_buffer))
))
=
lemma_list_to_seq l;
lemma_loc_mutable_buffers_rec l (list_to_seq l) 0
let create_heaplets buffers h1 =
let bs = list_to_seq buffers in
let modloc = loc_mutable_buffers buffers in
let layout1 = h1.vf_layout in
let layin1 = layout1.vl_inner in
let (hmap, hsets) = make_owns h1.vf_heap bs (Seq.length bs) in
let hmap a = Option.mapTot (fun n -> (Seq.index bs n).bi_heaplet) (hmap a) in
let l = {
vl_heaplets_initialized = true;
vl_heaplet_map = hmap;
vl_heaplet_sets = hsets;
vl_old_heap = h1.vf_heap;
vl_buffers = bs;
vl_mod_loc = modloc;
} in
let layout2 = {layout1 with vl_inner = l} in
let h2 = {
vf_layout = layout2;
vf_heap = h1.vf_heap;
vf_heaplets = h1.vf_heaplets;
} in
h2
let lemma_create_heaplets buffers h1 =
let bs = list_to_seq buffers in
let h2 = create_heaplets buffers h1 in
assert (h2.vf_layout.vl_inner.vl_buffers == bs); // REVIEW: why is this necessary, even with extra ifuel?
lemma_make_owns h1.vf_heap bs (Seq.length bs);
lemma_loc_mutable_buffers buffers;
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
()
let destroy_heaplets h1 =
h1
let lemma_destroy_heaplets h1 =
()
val heap_shift (m1 m2:S.machine_heap) (base:int) (n:nat) : Lemma
(requires (forall i. 0 <= i /\ i < n ==> m1.[base + i] == m2.[base + i]))
(ensures (forall i. {:pattern (m1.[i])} base <= i /\ i < base + n ==> m1.[i] == m2.[i]))
#push-options "--smtencoding.l_arith_repr boxwrap"
let heap_shift m1 m2 base n =
assert (forall i. base <= i /\ i < base + n ==>
m1.[base + (i - base)] == m2.[base + (i - base)])
#pop-options
val same_mem_eq_slices64 (b:buffer64{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:nat64)
(k:nat{k < buffer_length b})
(h1:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h1))})
(h2:vale_heap{h2 == buffer_write b i v h1})
(mem1:S.machine_heap{IB.correct_down_p (_ih h1) mem1 b})
(mem2:S.machine_heap{IB.correct_down_p (_ih h2) mem2 b}) : Lemma
(requires (Seq.index (buffer_as_seq h1 b) k == Seq.index (buffer_as_seq h2 b) k))
(ensures (
k * 8 + 8 <= DV.length (get_downview b.bsrc) /\
Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h1)) (get_downview b.bsrc)) (k * 8) (k * 8 + 8) ==
Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h2)) (get_downview b.bsrc)) (k * 8) (k * 8 + 8)))
let same_mem_eq_slices64 b i v k h1 h2 mem1 mem2 =
let t = TUInt64 in
let db = get_downview b.bsrc in
let ub = UV.mk_buffer db (uint_view t) in
UV.as_seq_sel (IB.hs_of_mem (_ih h1)) ub k;
UV.as_seq_sel (IB.hs_of_mem (_ih h2)) ub k;
UV.put_sel (IB.hs_of_mem (_ih h1)) ub k;
UV.put_sel (IB.hs_of_mem (_ih h2)) ub k;
UV.length_eq ub
let length_up64 (b:buffer64) (h:vale_heap) (k:nat{k < buffer_length b}) (i:nat{i < 8}) : Lemma
(scale8 k + i <= DV.length (get_downview b.bsrc)) =
let vb = UV.mk_buffer (get_downview b.bsrc) uint64_view in
UV.length_eq vb
val same_mem_get_heap_val64 (b:buffer64{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:nat64)
(k:nat{k < buffer_length b})
(h1:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h1))})
(h2:vale_heap{h2 == buffer_write b i v h1})
(mem1:S.machine_heap{IB.correct_down_p (_ih h1) mem1 b})
(mem2:S.machine_heap{IB.correct_down_p (_ih h2) mem2 b}) : Lemma
(requires (Seq.index (buffer_as_seq h1 b) k == Seq.index (buffer_as_seq h2 b) k))
(ensures (let ptr = buffer_addr b h1 + scale8 k in
forall (x:int).{:pattern (mem1.[x])} ptr <= x /\ x < ptr + 8 ==> mem1.[x] == mem2.[x]))
let same_mem_get_heap_val64 b j v k h1 h2 mem1 mem2 =
let ptr = buffer_addr b h1 + scale8 k in
let addr = buffer_addr b h1 in
let aux (x:int{ptr <= x /\ x < ptr + 8}) : Lemma (mem1.[x] == mem2.[x]) =
let i = x - ptr in
let db = get_downview b.bsrc in
let ub = UV.mk_buffer db uint64_view in
UV.as_seq_sel (IB.hs_of_mem (_ih h1)) ub k;
UV.as_seq_sel (IB.hs_of_mem (_ih h2)) ub k;
same_mem_eq_slices64 b j v k h1 h2 mem1 mem2;
let s1 = (Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h1)) db) (k * 8) (k * 8 + 8)) in
let s2 = (Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h2)) db) (k * 8) (k * 8 + 8)) in
assert (Seq.index s1 i == Seq.index (DV.as_seq (IB.hs_of_mem (_ih h1)) db) (k * 8 + i));
length_up64 b h1 k i;
assert (mem1.[addr+(scale8 k + i)] == UInt8.v (Seq.index (DV.as_seq (IB.hs_of_mem (_ih h1)) db) (k * 8 + i)));
assert (Seq.index s2 i == Seq.index (DV.as_seq (IB.hs_of_mem (_ih h2)) db) (k * 8 + i));
length_up64 b h2 k i;
assert (mem2.[addr+(scale8 k + i)] == UInt8.v (Seq.index (DV.as_seq (IB.hs_of_mem (_ih h2)) db) (k * 8 + i)))
in
Classical.forall_intro aux;
assert (forall i. addr + (scale8 k + i) == ptr + i)
let rec written_buffer_down64_aux1
(b:buffer64{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:nat64)
(h:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h))})
(base:nat{base == buffer_addr b h})
(k:nat) (h1:vale_heap{h1 == buffer_write b i v h})
(mem1:S.machine_heap{IB.correct_down (_ih h) mem1})
(mem2:S.machine_heap{IB.correct_down (_ih h1) mem2 /\
(forall j.{:pattern (mem1.[j]) \/ (mem2.[j])}
base <= j /\ j < base + k * 8 ==>
mem1.[j] == mem2.[j])})
: Lemma
(ensures (forall j. {:pattern (mem1.[j]) \/ (mem1.[j])}
j >= base /\ j < base + scale8 i ==>
mem1.[j] == mem2.[j]))
(decreases %[i-k]) =
if k >= i then ()
else begin
let ptr = base + scale8 k in
same_mem_get_heap_val64 b i v k h h1 mem1 mem2;
heap_shift mem1 mem2 ptr 8;
written_buffer_down64_aux1 b i v h base (k+1) h1 mem1 mem2
end
let rec written_buffer_down64_aux2
(b:buffer64{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:nat64)
(h:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h))})
(base:nat{base == buffer_addr b h})
(n:nat{n == buffer_length b})
(k:nat{k > i}) (h1:vale_heap{h1 == buffer_write b i v h})
(mem1:S.machine_heap{IB.correct_down (_ih h) mem1})
(mem2:S.machine_heap{IB.correct_down (_ih h1) mem2 /\
(forall j. {:pattern (mem1.[j]) \/ (mem2.[j])}
base + scale8 (i+1) <= j /\ j < base + k * 8 ==>
mem1.[j] == mem2.[j])})
: Lemma
(ensures (forall j. {:pattern (mem1.[j]) \/ (mem2.[j])}
j >= base + scale8 (i+1) /\ j < base + scale8 n ==>
mem1.[j] == mem2.[j]))
(decreases %[n-k]) =
if k >= n then ()
else begin
let ptr = base + scale8 k in
same_mem_get_heap_val64 b i v k h h1 mem1 mem2;
heap_shift mem1 mem2 ptr 8;
written_buffer_down64_aux2 b i v h base n (k+1) h1 mem1 mem2
end
let written_buffer_down64 (b:buffer64{buffer_writeable b}) (i:nat{i < buffer_length b}) (v:nat64) (h:vale_heap)
: Lemma
(requires List.memP b (IB.ptrs_of_mem (_ih h)))
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
let n = buffer_length b in
forall j. {:pattern (mem1.[j]) \/ (mem2.[j])}
(base <= j /\ j < base + scale8 i) \/
(base + scale8 (i+1) <= j /\ j < base + scale8 n) ==>
mem1.[j] == mem2.[j]))
= let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
let n = buffer_length b in
written_buffer_down64_aux1 b i v h base 0 h1 mem1 mem2;
written_buffer_down64_aux2 b i v h base n (i+1) h1 mem1 mem2
let unwritten_buffer_down (t:base_typ) (b:buffer t{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:base_typ_as_vale_type t)
(h:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h))})
: Lemma
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
forall (a:b8{List.memP a (IB.ptrs_of_mem (_ih h)) /\ a =!= b}) j. {:pattern mem1.[j]; List.memP a (IB.ptrs_of_mem (_ih h)) \/ mem2.[j]; List.memP a (IB.ptrs_of_mem (_ih h))}
let base = (IB.addrs_of_mem (_ih h)) a in
j >= base /\ j < base + DV.length (get_downview a.bsrc) ==> mem1.[j] == mem2.[j]))
= let aux (a:b8{a =!= b /\ List.memP a (IB.ptrs_of_mem (_ih h))})
: Lemma
(ensures (
let base = (IB.addrs_of_mem (_ih h)) a in
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
forall j.
j >= base /\ j < base + DV.length (get_downview a.bsrc) ==>
mem1.[j] == mem2.[j]))
= let db = get_downview a.bsrc in
if DV.length db = 0 then ()
else
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = (IB.addrs_of_mem (_ih h)) a in
let s0 = DV.as_seq (IB.hs_of_mem (_ih h)) db in
let s1 = DV.as_seq (IB.hs_of_mem (_ih h1)) db in
opaque_assert (`%IB.list_disjoint_or_eq) IB.list_disjoint_or_eq IB.list_disjoint_or_eq_def (MB.disjoint a.bsrc b.bsrc);
lemma_dv_equal (IB.down_view a.src) a.bsrc (IB.hs_of_mem (_ih h)) (IB.hs_of_mem (_ih h1));
assert (Seq.equal s0 s1);
assert (forall (j:int).{:pattern (mem1.[j])}
base <= j /\ j < base + Seq.length s0 ==> v_to_typ TUInt8 (Seq.index s0 (j - base)) == mem1.[j]);
heap_shift mem1 mem2 base (DV.length db)
in
Classical.forall_intro aux
let store_buffer_down64_mem
(b:buffer64{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:nat64)
(h:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h))})
: Lemma
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
forall (j:int). {:pattern mem1.[j] \/ mem2.[j]}
j < base + scale8 i \/ j >= base + scale8 (i+1) ==>
mem1.[j] == mem2.[j]))
= let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
let n = buffer_length b in
let aux (j:int)
: Lemma
(j < base + scale8 i \/ j >= base + scale8 (i+1) ==>
mem1.[j] == mem2.[j])
=
I.addrs_set_lemma_all ();
if j >= base && j < base + DV.length (get_downview b.bsrc) then begin
written_buffer_down64 b i v h;
length_t_eq (TUInt64) b
end
else if not (I.valid_addr (_ih h) j)
then I.same_unspecified_down (IB.hs_of_mem (_ih h)) (IB.hs_of_mem (_ih h1)) (IB.ptrs_of_mem (_ih h))
else unwritten_buffer_down TUInt64 b i v h
in
Classical.forall_intro aux
let store_buffer_aux_down64_mem (ptr:int) (v:nat64) (h:vale_heap{writeable_mem64 ptr h})
: Lemma
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = store_mem (TUInt64) ptr v h in
let mem2 = I.down_mem (_ih h1) in
forall j. {:pattern mem1.[j] \/ mem2.[j]}
j < ptr \/ j >= ptr + 8 ==>
mem1.[j] == mem2.[j]))
= let t = TUInt64 in
let h1 = store_mem t ptr v h in
let b = Some?.v (find_writeable_buffer t ptr h) in
length_t_eq t b;
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
store_buffer_write t ptr v h;
assert (buffer_addr b h + scale8 i == ptr);
assert (buffer_addr b h + scale8 (i+1) == ptr + 8);
store_buffer_down64_mem b i v h
let store_buffer_aux_down64_mem2 (ptr:int) (v:nat64) (h:vale_heap{writeable_mem64 ptr h})
: Lemma
(ensures (
let h1 = store_mem (TUInt64) ptr v h in
let mem2 = I.down_mem (_ih h1) in
S.get_heap_val64 ptr mem2 == v))
= let t = TUInt64 in
let b = Some?.v (find_writeable_buffer t ptr h) in
length_t_eq t b;
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
let h1 = store_mem t ptr v h in
let mem2 = I.down_mem (_ih h1) in
store_buffer_write t ptr v h;
assert (Seq.index (buffer_as_seq h1 b) i == v);
index64_get_heap_val64 h1 b mem2 i
let in_bounds64 (h:vale_heap) (b:buffer64) (i:nat{i < buffer_length b})
: Lemma (scale8 i + 8 <= DV.length (get_downview b.bsrc))
=
length_t_eq TUInt64 b
let bytes_valid64 ptr h =
reveal_opaque (`%S.valid_addr64) S.valid_addr64;
let t = TUInt64 in
let b = get_addr_ptr t ptr h in
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
in_bounds64 h b i;
I.addrs_set_mem (_ih h) b ptr;
I.addrs_set_mem (_ih h) b (ptr+1);
I.addrs_set_mem (_ih h) b (ptr+2);
I.addrs_set_mem (_ih h) b (ptr+3);
I.addrs_set_mem (_ih h) b (ptr+4);
I.addrs_set_mem (_ih h) b (ptr+5);
I.addrs_set_mem (_ih h) b (ptr+6);
I.addrs_set_mem (_ih h) b (ptr+7)
val same_mem_get_heap_val128 (b:buffer128)
(i:nat{i < buffer_length b})
(v:quad32)
(k:nat{k < buffer_length b})
(h1:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h1)) /\ buffer_writeable b})
(h2:vale_heap{h2 == buffer_write b i v h1})
(mem1:S.machine_heap{IB.correct_down_p (_ih h1) mem1 b})
(mem2:S.machine_heap{IB.correct_down_p (_ih h2) mem2 b}) : Lemma
(requires (Seq.index (buffer_as_seq h1 b) k == Seq.index (buffer_as_seq h2 b) k))
(ensures (let ptr = buffer_addr b h1 + scale16 k in
forall i.{:pattern mem1.[i]} i >= ptr /\ i < ptr+16 ==> mem1.[i] == mem2.[i]))
val same_mem_eq_slices128 (b:buffer128)
(i:nat{i < buffer_length b})
(v:quad32)
(k:nat{k < buffer_length b})
(h1:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h1)) /\ buffer_writeable b})
(h2:vale_heap{h2 == buffer_write b i v h1})
(mem1:S.machine_heap{IB.correct_down_p (_ih h1) mem1 b})
(mem2:S.machine_heap{IB.correct_down_p (_ih h2) mem2 b}) : Lemma
(requires (Seq.index (buffer_as_seq h1 b) k == Seq.index (buffer_as_seq h2 b) k))
(ensures (
k * 16 + 16 <= DV.length (get_downview b.bsrc) /\
Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h1)) (get_downview b.bsrc)) (k * 16) (k * 16 + 16) ==
Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h2)) (get_downview b.bsrc)) (k * 16) (k * 16 + 16)))
let same_mem_eq_slices128 b i v k h1 h2 mem1 mem2 =
let t = TUInt128 in
let db = get_downview b.bsrc in
let ub = UV.mk_buffer db (uint_view t) in
UV.as_seq_sel (IB.hs_of_mem (_ih h1)) ub k;
UV.as_seq_sel (IB.hs_of_mem (_ih h2)) ub k;
UV.put_sel (IB.hs_of_mem (_ih h1)) ub k;
UV.put_sel (IB.hs_of_mem (_ih h2)) ub k;
UV.length_eq ub
let length_up128 (b:buffer128) (h:vale_heap) (k:nat{k < buffer_length b}) (i:nat{i < 16}) : Lemma
(scale16 k + i <= DV.length (get_downview b.bsrc)) =
let vb = UV.mk_buffer (get_downview b.bsrc) uint128_view in
UV.length_eq vb
let same_mem_get_heap_val128 b j v k h1 h2 mem1 mem2 =
let ptr = buffer_addr b h1 + scale16 k in
let addr = buffer_addr b h1 in
let aux (i:nat{ptr <= i /\ i < ptr+16}) : Lemma (mem1.[i] == mem2.[i]) =
let db = get_downview b.bsrc in
let ub = UV.mk_buffer db uint128_view in
UV.as_seq_sel (IB.hs_of_mem (_ih h1)) ub k;
UV.as_seq_sel (IB.hs_of_mem (_ih h2)) ub k;
same_mem_eq_slices128 b j v k h1 h2 mem1 mem2;
let s1 = (Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h1)) db) (k * 16) (k * 16 + 16)) in
let s2 = (Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h2)) db) (k * 16) (k * 16 + 16)) in
assert (Seq.index s1 (i - ptr) == Seq.index (DV.as_seq (IB.hs_of_mem (_ih h1)) db) (k * 16 + (i-ptr)));
length_up128 b h1 k (i-ptr);
assert (mem1.[i] == UInt8.v (Seq.index (DV.as_seq (IB.hs_of_mem (_ih h1)) db) (k * 16 + (i-ptr))));
assert (Seq.index s2 (i-ptr) == Seq.index (DV.as_seq (IB.hs_of_mem (_ih h2)) db) (k * 16 + (i-ptr)));
length_up128 b h2 k (i-ptr);
assert (mem2.[addr+(scale16 k + (i-ptr))] == UInt8.v (Seq.index (DV.as_seq (IB.hs_of_mem (_ih h2)) db) (k * 16 + (i-ptr))));
assert (forall i. addr + (scale16 k + (i-ptr)) == i)
in
Classical.forall_intro aux
let in_bounds128 (h:vale_heap) (b:buffer128) (i:nat{i < buffer_length b}) : Lemma
(scale16 i + 16 <= DV.length (get_downview b.bsrc))
=
length_t_eq TUInt128 b
#push-options "--z3rlimit 20"
#restart-solver
let bytes_valid128 ptr h =
reveal_opaque (`%S.valid_addr128) S.valid_addr128;
IB.list_disjoint_or_eq_reveal ();
let t = TUInt128 in
let b = get_addr_ptr t ptr h in
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
in_bounds128 h b i;
I.addrs_set_mem (_ih h) b ptr;
I.addrs_set_mem (_ih h) b (ptr+1);
I.addrs_set_mem (_ih h) b (ptr+2);
I.addrs_set_mem (_ih h) b (ptr+3);
I.addrs_set_mem (_ih h) b (ptr+4);
I.addrs_set_mem (_ih h) b (ptr+5);
I.addrs_set_mem (_ih h) b (ptr+6);
I.addrs_set_mem (_ih h) b (ptr+7);
I.addrs_set_mem (_ih h) b (ptr+8);
I.addrs_set_mem (_ih h) b (ptr+9);
I.addrs_set_mem (_ih h) b (ptr+10);
I.addrs_set_mem (_ih h) b (ptr+11);
I.addrs_set_mem (_ih h) b (ptr+12);
I.addrs_set_mem (_ih h) b (ptr+13);
I.addrs_set_mem (_ih h) b (ptr+14);
I.addrs_set_mem (_ih h) b (ptr+15)
#pop-options
let equiv_load_mem64 ptr h =
let t = TUInt64 in
let b = get_addr_ptr t ptr h in
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
let addr = buffer_addr b h in
let contents = DV.as_seq (_ih h).IB.hs (get_downview b.bsrc) in
let heap = get_heap h in
index64_get_heap_val64 h b heap i;
lemma_load_mem64 b i h
//let low_lemma_valid_mem64 b i h =
// lemma_valid_mem64 b i h;
// bytes_valid64 (buffer_addr b h + scale8 i) h
//let low_lemma_load_mem64 b i h =
// lemma_valid_mem64 b i h;
// lemma_load_mem64 b i h;
// equiv_load_mem64 (buffer_addr b h + scale8 i) h
//let same_domain_update64 b i v h =
// low_lemma_valid_mem64 b i h;
// Vale.Arch.MachineHeap.same_domain_update64 (buffer_addr b h + scale8 i) v (get_heap h)
open Vale.X64.BufferViewStore
let low_lemma_store_mem64_aux
(b:buffer64)
(heap:S.machine_heap)
(i:nat{i < buffer_length b})
(v:nat64)
(h:vale_heap{buffer_readable h b /\ buffer_writeable b})
: Lemma
(requires IB.correct_down_p (_ih h) heap b)
(ensures (let heap' = S.update_heap64 (buffer_addr b h + scale8 i) v heap in
let h' = store_mem64 (buffer_addr b h + scale8 i) v h in
(_ih h').IB.hs == DV.upd_seq (_ih h).IB.hs (get_downview b.bsrc) (I.get_seq_heap heap' (_ih h).IB.addrs b))) =
let ptr = buffer_addr b h + scale8 i in
let heap' = S.update_heap64 ptr v heap in
let h' = store_mem64 ptr v h in
lemma_store_mem64 b i v h;
length_t_eq TUInt64 b;
bv_upd_update_heap64 b heap i v (_ih h);
let db = get_downview b.bsrc in
let bv = UV.mk_buffer db Vale.Interop.Views.up_view64 in
assert (UV.upd (_ih h).IB.hs bv i (UInt64.uint_to_t v) == (_ih h').IB.hs)
val valid_state_store_mem64_aux: (i:nat) -> (v:nat64) -> (h:vale_heap) -> Lemma
(requires writeable_mem64 i h)
(ensures (
let heap = get_heap h in
let heap' = S.update_heap64 i v heap in
let h' = store_mem64 i v h in
heap' == I.down_mem (_ih h')
))
let valid_state_store_mem64_aux i v h =
let heap = get_heap h in
let heap' = S.update_heap64 i v heap in
let h1 = store_mem TUInt64 i v h in
store_buffer_aux_down64_mem i v h;
store_buffer_aux_down64_mem2 i v h;
let mem1 = heap' in
let mem2 = I.down_mem (_ih h1) in
let aux () : Lemma (forall j. mem1.[j] == mem2.[j]) =
Vale.Arch.MachineHeap.same_mem_get_heap_val64 i mem1 mem2;
Vale.Arch.MachineHeap.correct_update_get64 i v heap;
Vale.Arch.MachineHeap.frame_update_heap64 i v heap
in let aux2 () : Lemma (Set.equal (Map.domain mem1) (Map.domain mem2)) =
bytes_valid64 i h;
Vale.Arch.MachineHeap.same_domain_update64 i v heap
in aux(); aux2();
Map.lemma_equal_intro mem1 mem2
let low_lemma_load_mem64_full b i vfh t hid =
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
()
#push-options "--z3rlimit 20"
#restart-solver
let low_lemma_store_mem64 b i v h =
lemma_writeable_mem64 b i h;
lemma_store_mem64 b i v h;
valid_state_store_mem64_aux (buffer_addr b h + scale8 i) v h;
let heap = get_heap h in
let heap' = S.update_heap64 (buffer_addr b h + scale8 i) v heap in
low_lemma_store_mem64_aux b heap i v h;
Vale.Arch.MachineHeap.frame_update_heap64 (buffer_addr b h + scale8 i) v heap;
in_bounds64 h b i;
I.addrs_set_lemma_all ();
I.update_buffer_up_mem (_ih h) b heap heap'
#pop-options
#set-options "--z3rlimit 100"
#restart-solver
let lemma_is_full_update
(vfh:vale_full_heap) (h hk hk':vale_heap) (k:heaplet_id) (mh mh' mhk mhk':machine_heap) (mt mt':memtaint)
(t:base_typ) (b:buffer t) (ptr:int) (v_size:nat)
(index:nat) (v:base_typ_as_vale_type t) (tn:taint)
: Lemma
(requires
vfh.vf_layout.vl_inner.vl_heaplets_initialized /\
mem_inv vfh /\
buffer_readable hk b /\
buffer_writeable b /\
index < Seq.length (buffer_as_seq hk b) /\
mt == vfh.vf_layout.vl_taint /\
h == vfh.vf_heap /\
hk == Map16.sel vfh.vf_heaplets k /\
mh == h.mh /\
mhk == hk.mh /\
ptr == buffer_addr b hk + scale_by v_size index /\
mt' == S.update_n ptr v_size (heap_taint (coerce vfh)) tn /\
hk' == buffer_write b index v hk /\
valid_layout_buffer b vfh.vf_layout hk true /\
valid_taint_buf b hk mt tn /\
is_machine_heap_update mh mh' /\ upd_heap h mh' == buffer_write b index v h /\
is_machine_heap_update mhk mhk' /\ upd_heap hk mhk' == buffer_write b index v hk /\
(forall j.{:pattern mh.[j] \/ mh'.[j]} j < ptr \/ j >= ptr + v_size ==> mh.[j] == mh'.[j]) /\
(forall j.{:pattern mhk.[j] \/ mhk'.[j]} j < ptr \/ j >= ptr + v_size ==> mhk.[j] == mhk'.[j]) /\
0 <= scale_by v_size index /\ scale_by v_size index + v_size <= DV.length (get_downview b.bsrc) /\
(forall i.{:pattern mh'.[i] \/ mhk'.[i]} i >= ptr /\ i < ptr + v_size ==> mh'.[i] == mhk'.[i]) /\
True
)
(ensures is_full_update vfh hk' k mh' mt')
=
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
let vfh' = coerce (heap_upd (coerce vfh) mh' mt') in
let dom_upd = Set.intersect (vfh.vf_layout.vl_inner.vl_heaplet_sets k) (Map.domain mhk) in
let mhk'' = Map.concat mhk (Map.restrict dom_upd mh') in
assert (Map.equal mhk'' mhk');
let unchanged (j:heaplet_id) : Lemma
(requires j =!= k)
(ensures Map16.sel vfh'.vf_heaplets j == Map16.sel vfh.vf_heaplets j)
[SMTPat (Map16.sel vfh'.vf_heaplets j)]
=
assert (Map.equal (Map16.sel vfh'.vf_heaplets j).mh (Map16.sel vfh.vf_heaplets j).mh);
I.down_up_identity (Map16.sel vfh.vf_heaplets j).ih;
()
in
assert (Map16.equal vfh'.vf_heaplets (Map16.upd vfh.vf_heaplets k hk'));
assert (Map.equal mt' mt);
Vale.Interop.Heap_s.list_disjoint_or_eq_reveal ();
()
let low_lemma_store_mem64_full b i v vfh t hid =
let (h, mt, hk) = (vfh.vf_heap, vfh.vf_layout.vl_taint, Map16.get vfh.vf_heaplets hid) in
let ptr = buffer_addr b hk + scale8 i in
let mh' = S.update_heap64 ptr v (heap_get (coerce vfh)) in
let mt' = S.update_n ptr 8 (heap_taint (coerce vfh)) t in
let hk' = buffer_write b i v hk in
let mhk' = S.update_heap64 ptr v (get_heap hk) in
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
low_lemma_store_mem64 b i v h;
low_lemma_store_mem64 b i v (Map16.get vfh.vf_heaplets hid);
Vale.Arch.MachineHeap.frame_update_heap64 ptr v h.mh;
Vale.Arch.MachineHeap.frame_update_heap64 ptr v hk.mh;
in_bounds64 hk b i;
Vale.Arch.MachineHeap.same_mem_get_heap_val64 ptr mh' mhk';
lemma_is_full_update vfh h hk hk' hid h.mh mh' hk.mh mhk' mt mt' TUInt64 b ptr 8 i v t;
()
val low_lemma_valid_mem128 (b:buffer128) (i:nat) (h:vale_heap) : Lemma
(requires
i < Seq.length (buffer_as_seq h b) /\
buffer_readable h b
)
(ensures
S.valid_addr128 (buffer_addr b h + scale16 i) (get_heap h)
)
let low_lemma_valid_mem128 b i h =
lemma_valid_mem128 b i h;
bytes_valid128 (buffer_addr b h + scale16 i) h
val equiv_load_mem128_aux: (ptr:int) -> (h:vale_heap) -> Lemma
(requires valid_mem128 ptr h)
(ensures load_mem128 ptr h == S.get_heap_val128 ptr (get_heap h))
let equiv_load_mem128_aux ptr h =
let t = TUInt128 in
let b = get_addr_ptr t ptr h in
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
let addr = buffer_addr b h in
let contents = DV.as_seq (_ih h).IB.hs (get_downview b.bsrc) in
let heap = get_heap h in
S.get_heap_val128_reveal ();
index128_get_heap_val128 h b heap i;
lemma_load_mem128 b i h
let equiv_load_mem128 ptr h =
equiv_load_mem128_aux ptr h
val low_lemma_load_mem128 (b:buffer128) (i:nat) (h:vale_heap) : Lemma
(requires
i < Seq.length (buffer_as_seq h b) /\
buffer_readable h b
)
(ensures
S.get_heap_val128 (buffer_addr b h + scale16 i) (get_heap h) == buffer_read b i h
)
let low_lemma_load_mem128 b i h =
lemma_valid_mem128 b i h;
lemma_load_mem128 b i h;
equiv_load_mem128_aux (buffer_addr b h + scale16 i) h
//let same_domain_update128 b i v h =
// low_lemma_valid_mem128 b i h;
// Vale.Arch.MachineHeap.same_domain_update128 (buffer_addr b h + scale16 i) v (get_heap h)
let low_lemma_store_mem128_aux
(b:buffer128)
(heap:S.machine_heap)
(i:nat{i < buffer_length b})
(v:quad32)
(h:vale_heap{buffer_readable h b /\ buffer_writeable b})
: Lemma
(requires IB.correct_down_p (_ih h) heap b)
(ensures (let heap' = S.update_heap128 (buffer_addr b h + scale16 i) v heap in
let h' = store_mem128 (buffer_addr b h + scale16 i) v h in
(_ih h').IB.hs == DV.upd_seq (_ih h).IB.hs (get_downview b.bsrc) (I.get_seq_heap heap' (_ih h).IB.addrs b))) =
let ptr = buffer_addr b h + scale16 i in
let heap' = S.update_heap128 ptr v heap in
let h' = store_mem128 ptr v h in
lemma_store_mem128 b i v h;
length_t_eq TUInt128 b;
bv_upd_update_heap128 b heap i v (_ih h);
let db = get_downview b.bsrc in
let bv = UV.mk_buffer db Vale.Interop.Views.up_view128 in
assert (UV.upd (_ih h).IB.hs bv i v == (_ih h').IB.hs)
val valid_state_store_mem128_aux (i:int) (v:quad32) (h:vale_heap) : Lemma
(requires writeable_mem128 i h)
(ensures (
let heap = get_heap h in
let heap' = S.update_heap128 i v heap in
let h' = store_mem128 i v h in
heap' == I.down_mem (_ih h')
))
#restart-solver
let rec written_buffer_down128_aux1
(b:buffer128{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:quad32)
(h:vale_heap{List.memP b (_ih h).IB.ptrs})
(base:nat{base == buffer_addr b h})
(k:nat) (h1:vale_heap{h1 == buffer_write b i v h})
(mem1:S.machine_heap{IB.correct_down (_ih h) mem1})
(mem2:S.machine_heap{IB.correct_down (_ih h1) mem2 /\
(forall j.{:pattern (mem1.[j]) \/ (mem2.[j])}
base <= j /\ j < base + k * 16 ==>
mem1.[j] == mem2.[j])})
: Lemma
(ensures (forall j. {:pattern (mem1.[j]) \/ (mem1.[j])}
j >= base /\ j < base + scale16 i ==>
mem1.[j] == mem2.[j]))
(decreases %[i-k]) =
if k >= i then ()
else begin
let ptr = base + scale16 k in
same_mem_get_heap_val128 b i v k h h1 mem1 mem2;
heap_shift mem1 mem2 ptr 16;
written_buffer_down128_aux1 b i v h base (k+1) h1 mem1 mem2
end
#restart-solver
let rec written_buffer_down128_aux2
(b:buffer128{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:quad32)
(h:vale_heap{List.memP b (_ih h).IB.ptrs})
(base:nat{base == buffer_addr b h})
(n:nat{n == buffer_length b})
(k:nat{k > i}) (h1:vale_heap{h1 == buffer_write b i v h})
(mem1:S.machine_heap{IB.correct_down (_ih h) mem1})
(mem2:S.machine_heap{IB.correct_down (_ih h1) mem2 /\
(forall j. {:pattern (mem1.[j]) \/ (mem2.[j])}
base + scale16 (i+1) <= j /\ j < base + k * 16 ==>
mem1.[j] == mem2.[j])})
: Lemma
(ensures (forall j. {:pattern (mem1.[j]) \/ (mem2.[j])}
j >= base + scale16 (i+1) /\ j < base + scale16 n ==>
mem1.[j] == mem2.[j]))
(decreases %[n-k]) =
if k >= n then ()
else begin
let ptr = base + scale16 k in
same_mem_get_heap_val128 b i v k h h1 mem1 mem2;
heap_shift mem1 mem2 ptr 16;
written_buffer_down128_aux2 b i v h base n (k+1) h1 mem1 mem2
end
let written_buffer_down128 (b:buffer128) (i:nat{i < buffer_length b}) (v:quad32) (h:vale_heap)
: Lemma
(requires List.memP b (_ih h).IB.ptrs /\ buffer_writeable b)
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
let n = buffer_length b in
forall j. {:pattern (mem1.[j]) \/ (mem2.[j])}
(base <= j /\ j < base + scale16 i) \/
(base + scale16 (i+1) <= j /\ j < base + scale16 n) ==>
mem1.[j] == mem2.[j]))
= let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
let n = buffer_length b in
written_buffer_down128_aux1 b i v h base 0 h1 mem1 mem2;
written_buffer_down128_aux2 b i v h base n (i+1) h1 mem1 mem2
let store_buffer_down128_mem
(b:buffer128{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:quad32)
(h:vale_heap{List.memP b (_ih h).IB.ptrs})
: Lemma
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
forall (j:int). {:pattern mem1.[j] \/ mem2.[j]}
j < base + scale16 i \/ j >= base + scale16 (i+1) ==>
mem1.[j] == mem2.[j]))
= let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
let n = buffer_length b in
let aux (j:int)
: Lemma
(j < base + scale16 i \/ j >= base + scale16 (i+1) ==>
mem1.[j] == mem2.[j])
=
I.addrs_set_lemma_all ();
if j >= base && j < base + DV.length (get_downview b.bsrc) then begin
written_buffer_down128 b i v h;
length_t_eq TUInt128 b
end
else if not (I.valid_addr (_ih h) j)
then I.same_unspecified_down (_ih h).IB.hs (_ih h1).IB.hs (_ih h).IB.ptrs
else unwritten_buffer_down TUInt128 b i v h
in
Classical.forall_intro aux
let store_buffer_aux_down128_mem (ptr:int) (v:quad32) (h:vale_heap{writeable_mem128 ptr h})
: Lemma
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = store_mem TUInt128 ptr v h in
let mem2 = I.down_mem (_ih h1) in
forall j. {:pattern mem1.[j] \/ mem2.[j]}
j < ptr \/ j >= ptr + 16 ==>
mem1.[j] == mem2.[j]))
= let t = TUInt128 in
let h1 = store_mem t ptr v h in
let b = Some?.v (find_writeable_buffer t ptr h) in
length_t_eq t b;
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
store_buffer_write t ptr v h;
assert (buffer_addr b h + scale16 i == ptr);
assert (buffer_addr b h + scale16 (i+1) == ptr + 16);
store_buffer_down128_mem b i v h
let store_buffer_aux_down128_mem2 (ptr:int) (v:quad32) (h:vale_heap{writeable_mem128 ptr h})
: Lemma
(ensures (
let h1 = store_mem TUInt128 ptr v h in
let mem2 = I.down_mem (_ih h1) in
Mkfour
(S.get_heap_val32 ptr mem2)
(S.get_heap_val32 (ptr+4) mem2)
(S.get_heap_val32 (ptr+8) mem2)
(S.get_heap_val32 (ptr+12) mem2)
== v)) =
let t = TUInt128 in
let b = Some?.v (find_writeable_buffer t ptr h) in
length_t_eq t b;
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
let h1 = store_mem t ptr v h in
let mem2 = I.down_mem (_ih h1) in
store_buffer_write t ptr v h;
assert (Seq.index (buffer_as_seq h1 b) i == v);
index128_get_heap_val128 h1 b mem2 i
let valid_state_store_mem128_aux i v h =
let heap = get_heap h in
let heap' = S.update_heap128 i v heap in
let h1 = store_mem TUInt128 i v h in
store_buffer_aux_down128_mem i v h;
store_buffer_aux_down128_mem2 i v h;
let mem1 = heap' in
let mem2 = I.down_mem (_ih h1) in
let aux () : Lemma (forall j. mem1.[j] == mem2.[j]) =
Vale.Arch.MachineHeap.correct_update_get128 i v heap;
Vale.X64.Machine_Semantics_s.get_heap_val128_reveal ();
Vale.Arch.MachineHeap.same_mem_get_heap_val32 i mem1 mem2;
Vale.Arch.MachineHeap.same_mem_get_heap_val32 (i+4) mem1 mem2;
Vale.Arch.MachineHeap.same_mem_get_heap_val32 (i+8) mem1 mem2;
Vale.Arch.MachineHeap.same_mem_get_heap_val32 (i+12) mem1 mem2;
Vale.Arch.MachineHeap.frame_update_heap128 i v heap
in
let aux2 () : Lemma (Set.equal (Map.domain mem1) (Map.domain mem2)) =
bytes_valid128 i h;
Vale.Arch.MachineHeap.same_domain_update128 i v heap
in aux (); aux2 ();
Map.lemma_equal_intro mem1 mem2
let low_lemma_load_mem128_full b i vfh t hid =
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
()
let low_lemma_store_mem128 b i v h =
lemma_valid_mem128 b i h;
lemma_store_mem128 b i v h;
valid_state_store_mem128_aux (buffer_addr b h + scale16 i) v h;
let heap = get_heap h in
let heap' = S.update_heap128 (buffer_addr b h + scale16 i) v heap in
let h' = store_mem128 (buffer_addr b h + scale16 i) v h in
low_lemma_store_mem128_aux b heap i v h;
Vale.Arch.MachineHeap.frame_update_heap128 (buffer_addr b h + scale16 i) v heap;
in_bounds128 h b i;
I.addrs_set_lemma_all ();
I.update_buffer_up_mem (_ih h) b heap heap'
let low_lemma_store_mem128_full b i v vfh t hid =
let (h, mt, hk) = (vfh.vf_heap, vfh.vf_layout.vl_taint, Map16.get vfh.vf_heaplets hid) in
let ptr = buffer_addr b hk + scale16 i in
let mh' = S.update_heap128 ptr v (heap_get (coerce vfh)) in
let mt' = S.update_n ptr 16 (heap_taint (coerce vfh)) t in
let hk' = buffer_write b i v hk in
let mhk' = S.update_heap128 ptr v (get_heap hk) in
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
low_lemma_store_mem128 b i v h;
low_lemma_store_mem128 b i v (Map16.get vfh.vf_heaplets hid);
Vale.Arch.MachineHeap.frame_update_heap128 ptr v h.mh;
Vale.Arch.MachineHeap.frame_update_heap128 ptr v hk.mh;
in_bounds128 hk b i;
Vale.Arch.MachineHeap.same_mem_get_heap_val128 ptr mh' mhk';
lemma_is_full_update vfh h hk hk' hid h.mh mh' hk.mh mhk' mt mt' TUInt128 b ptr 16 i v t;
()
#push-options "--smtencoding.l_arith_repr boxwrap"
let low_lemma_valid_mem128_64 b i h =
reveal_opaque (`%S.valid_addr64) S.valid_addr64;
reveal_opaque (`%S.valid_addr128) S.valid_addr128;
low_lemma_valid_mem128 b i h;
let ptr = buffer_addr b h + scale16 i in
assert (buffer_addr b h + scale16 i + 8 = ptr + 8)
#pop-options
open Vale.Def.Words.Two_s
open Vale.Def.Words.Four_s
let low_lemma_load_mem128_lo64 b i h =
low_lemma_load_mem128 b i h;
lo64_reveal ();
S.get_heap_val128_reveal ();
S.get_heap_val64_reveal ();
S.get_heap_val32_reveal ()
let low_lemma_load_mem128_hi64 b i h =
low_lemma_load_mem128 b i h;
hi64_reveal ();
S.get_heap_val128_reveal ();
S.get_heap_val64_reveal ();
S.get_heap_val32_reveal ()
//let same_domain_update128_64 b i v h =
// low_lemma_valid_mem128_64 b i (_ih h);
// Vale.Arch.MachineHeap.same_domain_update64 (buffer_addr b h + scale16 i) v (get_heap h);
// Vale.Arch.MachineHeap.same_domain_update64 (buffer_addr b h + scale16 i + 8) v (get_heap h)
open Vale.Def.Types_s
let frame_get_heap32 (ptr:int) (mem1 mem2:S.machine_heap) : Lemma
(requires (forall i. i >= ptr /\ i < ptr + 4 ==> mem1.[i] == mem2.[i]))
(ensures S.get_heap_val32 ptr mem1 == S.get_heap_val32 ptr mem2) =
S.get_heap_val32_reveal ()
let update_heap128_lo (ptr:int) (v:quad32) (mem:S.machine_heap) : Lemma
(requires
S.valid_addr128 ptr mem /\
v.hi2 == S.get_heap_val32 (ptr+8) mem /\
v.hi3 == S.get_heap_val32 (ptr+12) mem
)
(ensures S.update_heap128 ptr v mem ==
S.update_heap32 (ptr+4) v.lo1 (S.update_heap32 ptr v.lo0 mem)) =
reveal_opaque (`%S.valid_addr128) S.valid_addr128;
S.update_heap128_reveal ();
let mem0 = S.update_heap32 ptr v.lo0 mem in
let mem1 = S.update_heap32 (ptr+4) v.lo1 mem0 in
Vale.Arch.MachineHeap.frame_update_heap32 ptr v.lo0 mem;
Vale.Arch.MachineHeap.frame_update_heap32 (ptr+4) v.lo1 mem0;
Vale.Arch.MachineHeap.same_domain_update32 ptr v.lo0 mem;
Vale.Arch.MachineHeap.same_domain_update32 (ptr+4) v.lo1 mem0;
frame_get_heap32 (ptr+8) mem mem1;
frame_get_heap32 (ptr+12) mem mem1;
Vale.Arch.MachineHeap.update_heap32_get_heap32 (ptr+8) mem1;
Vale.Arch.MachineHeap.update_heap32_get_heap32 (ptr+12) mem1
let low_lemma_load_mem128_lo_hi_full b i vfh t hid =
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
low_lemma_valid_mem128_64 b i vfh.vf_heap;
()
let low_lemma_store_mem128_lo64 b i v h =
let ptr = buffer_addr b h + scale16 i in
let v128 = buffer_read b i h in
let v' = insert_nat64 v128 v 0 in
low_lemma_load_mem128 b i h;
low_lemma_store_mem128 b i v' h;
S.get_heap_val128_reveal ();
update_heap128_lo ptr v' (get_heap h);
S.update_heap64_reveal ();
S.update_heap32_reveal ();
insert_nat64_reveal () | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.BufferViewStore.fsti.checked",
"Vale.PPC64LE.Semantics_s.fst.checked",
"Vale.PPC64LE.Memory.fst.checked",
"Vale.PPC64LE.Memory.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.Lib.BufferViewHelpers.fst.checked",
"Vale.Interop.Views.fsti.checked",
"Vale.Interop.Heap_s.fst.checked",
"Vale.Interop.Base.fst.checked",
"Vale.Interop.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Two_s.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.MachineHeap.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.Arch.Heap.fsti.checked",
"prims.fst.checked",
"LowStar.Monotonic.Buffer.fsti.checked",
"LowStar.BufferView.Up.fsti.checked",
"LowStar.BufferView.Down.fsti.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt64.fsti.checked",
"FStar.Set.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Option.fst.checked",
"FStar.Mul.fst.checked",
"FStar.Map.fsti.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.PPC64LE.Memory_Sems.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Def.Words.Four_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words.Two_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.BufferViewStore",
"short_module": null
},
{
"abbrev": true,
"full_module": "Vale.Interop.Base",
"short_module": "IB"
},
{
"abbrev": false,
"full_module": "Vale.Lib.BufferViewHelpers",
"short_module": null
},
{
"abbrev": true,
"full_module": "LowStar.BufferView.Down",
"short_module": "DV"
},
{
"abbrev": true,
"full_module": "LowStar.BufferView.Up",
"short_module": "UV"
},
{
"abbrev": true,
"full_module": "LowStar.Monotonic.Buffer",
"short_module": "MB"
},
{
"abbrev": true,
"full_module": "Vale.Interop",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": true,
"full_module": "Vale.Lib.Map16",
"short_module": "Map16"
},
{
"abbrev": true,
"full_module": "Vale.PPC64LE.Semantics_s",
"short_module": "S"
},
{
"abbrev": false,
"full_module": "Vale.Lib.Seqs",
"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.Arch.MachineHeap_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Heap",
"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": "Vale.Def.Types_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.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.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": 100,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
b: Vale.PPC64LE.Memory.buffer128 ->
i: Prims.nat ->
v: Vale.Def.Types_s.nat64 ->
vfh: Vale.Arch.HeapImpl.vale_full_heap ->
t: Vale.Arch.HeapTypes_s.taint ->
hid: Vale.Arch.HeapImpl.heaplet_id
-> FStar.Pervasives.Lemma
(requires
(let _ =
Vale.Lib.Map16.get (Mkvale_full_heap?.vf_heaplets vfh) hid,
Mkvale_heap_layout?.vl_taint (Mkvale_full_heap?.vf_layout vfh)
in
(let FStar.Pervasives.Native.Mktuple2 #_ #_ h mt = _ in
i < FStar.Seq.Base.length (Vale.PPC64LE.Memory.buffer_as_seq h b) /\
Vale.PPC64LE.Memory.buffer_readable h b /\ Vale.PPC64LE.Memory.buffer_writeable b /\
Vale.PPC64LE.Memory.valid_layout_buffer b (Mkvale_full_heap?.vf_layout vfh) h true /\
Vale.PPC64LE.Memory.valid_taint_buf128 b h mt t /\ Vale.PPC64LE.Memory.mem_inv vfh)
<:
Type0))
(ensures
(let h = Vale.Lib.Map16.get (Mkvale_full_heap?.vf_heaplets vfh) hid in
let ptr = Vale.PPC64LE.Memory.buffer_addr b h + Vale.PPC64LE.Memory.scale16 i in
let v' = Vale.Def.Types_s.insert_nat64 (Vale.PPC64LE.Memory.buffer_read b i h) v 0 in
Vale.PPC64LE.Memory.buffer_addr b (Mkvale_full_heap?.vf_heap vfh) ==
Vale.PPC64LE.Memory.buffer_addr b h /\
Vale.Arch.MachineHeap_s.valid_addr64 ptr
(Vale.Arch.Heap.heap_get (Vale.PPC64LE.Memory_Sems.coerce vfh)) /\
Vale.PPC64LE.Memory_Sems.is_full_update vfh
(Vale.PPC64LE.Memory.buffer_write b i v' h)
hid
(Vale.Arch.MachineHeap_s.update_heap64 ptr
v
(Vale.Arch.Heap.heap_get (Vale.PPC64LE.Memory_Sems.coerce vfh)))
(Vale.PPC64LE.Semantics_s.update_n ptr
8
(Vale.Arch.Heap.heap_taint (Vale.PPC64LE.Memory_Sems.coerce vfh))
t))) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"Vale.PPC64LE.Memory.buffer128",
"Prims.nat",
"Vale.Def.Types_s.nat64",
"Vale.Arch.HeapImpl.vale_full_heap",
"Vale.Arch.HeapTypes_s.taint",
"Vale.Arch.HeapImpl.heaplet_id",
"Vale.Arch.HeapImpl.vale_heap",
"FStar.Map.t",
"Prims.int",
"FStar.Set.equal",
"FStar.Map.domain",
"FStar.Set.complement",
"FStar.Set.empty",
"Prims.unit",
"Prims._assert",
"FStar.Map.equal",
"Vale.PPC64LE.Semantics_s.update_n",
"Prims.op_Addition",
"Vale.PPC64LE.Memory.buffer_addr",
"Vale.PPC64LE.Memory.vuint128",
"Vale.PPC64LE.Memory.scale16",
"Vale.PPC64LE.Memory_Sems.low_lemma_valid_mem128_64",
"Vale.PPC64LE.Memory_Sems.low_lemma_store_mem128_lo64",
"Vale.PPC64LE.Memory_Sems.lemma_is_full_update",
"Vale.Arch.HeapImpl.__proj__ValeHeap__item__mh",
"Vale.Arch.HeapTypes_s.TUInt128",
"Vale.Arch.MachineHeap.same_mem_get_heap_val128",
"Vale.PPC64LE.Memory_Sems.in_bounds128",
"Vale.Arch.MachineHeap.frame_update_heap128",
"Vale.PPC64LE.Memory_Sems.low_lemma_store_mem128",
"Vale.Lib.Map16.get",
"Vale.Arch.HeapImpl.__proj__Mkvale_full_heap__item__vf_heaplets",
"FStar.Pervasives.reveal_opaque",
"Vale.Arch.HeapTypes_s.base_typ",
"Vale.PPC64LE.Memory.buffer",
"Vale.Arch.HeapImpl.vale_heap_layout",
"FStar.Pervasives.Native.option",
"Prims.bool",
"Vale.Def.Prop_s.prop0",
"Vale.PPC64LE.Memory.valid_layout_buffer_id",
"Vale.Arch.MachineHeap_s.machine_heap",
"Vale.Arch.MachineHeap_s.update_heap128",
"Vale.PPC64LE.Memory_Sems.get_heap",
"Vale.PPC64LE.Memory.buffer_write",
"Vale.Arch.HeapTypes_s.memTaint_t",
"Prims.l_Forall",
"Prims.l_and",
"Prims.l_imp",
"Prims.b2t",
"Prims.op_GreaterThanOrEqual",
"Prims.op_LessThan",
"Prims.eq2",
"Vale.PPC64LE.Semantics_s.op_String_Access",
"Prims.l_or",
"Vale.Arch.Heap.heap_taint",
"FStar.Map.sel",
"Vale.PPC64LE.Memory_Sems.coerce",
"Vale.Arch.Heap.heap_impl",
"Vale.Arch.Heap.heap_get",
"Vale.Def.Types_s.quad32",
"Vale.Def.Types_s.insert_nat64",
"Vale.PPC64LE.Memory.buffer_read",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.Mktuple3",
"Vale.Arch.HeapImpl.__proj__Mkvale_full_heap__item__vf_heap",
"Vale.Arch.HeapImpl.__proj__Mkvale_heap_layout__item__vl_taint",
"Vale.Arch.HeapImpl.__proj__Mkvale_full_heap__item__vf_layout"
] | [] | false | false | true | false | false | let low_lemma_store_mem128_lo64_full b i v vfh t hid =
| let h, mt, hk = (vfh.vf_heap, vfh.vf_layout.vl_taint, Map16.get vfh.vf_heaplets hid) in
let v' = insert_nat64 (buffer_read b i hk) v 0 in
let ptr = buffer_addr b hk + scale16 i in
let mh' = S.update_heap128 ptr v' (heap_get (coerce vfh)) in
let mt' = S.update_n ptr 16 (heap_taint (coerce vfh)) t in
let hk' = buffer_write b i v' hk in
let mhk' = S.update_heap128 ptr v' (get_heap hk) in
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
low_lemma_store_mem128 b i v' h;
low_lemma_store_mem128 b i v' (Map16.get vfh.vf_heaplets hid);
Vale.Arch.MachineHeap.frame_update_heap128 ptr v' h.mh;
Vale.Arch.MachineHeap.frame_update_heap128 ptr v' hk.mh;
in_bounds128 hk b i;
Vale.Arch.MachineHeap.same_mem_get_heap_val128 ptr mh' mhk';
lemma_is_full_update vfh h hk hk' hid h.mh mh' hk.mh mhk' mt mt' TUInt128 b ptr 16 i v' t;
low_lemma_store_mem128_lo64 b i v h;
low_lemma_valid_mem128_64 b i h;
assert (Map.equal mt (S.update_n (buffer_addr b h + scale16 i) 8 mt t));
() | false |
FStar.List.Tot.Base.fst | FStar.List.Tot.Base.unsnoc | val unsnoc: #a:Type -> l:list a{length l > 0} -> Tot (list a * a) | val unsnoc: #a:Type -> l:list a{length l > 0} -> Tot (list a * a) | let unsnoc #a l =
let l1, l2 = splitAt (length l - 1) l in
lemma_splitAt_snd_length (length l - 1) l;
l1, hd l2 | {
"file_name": "ulib/FStar.List.Tot.Base.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 11,
"end_line": 465,
"start_col": 0,
"start_line": 462
} | (*
Copyright 2008-2014 Nikhil Swamy and 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.
*)
(**
This module defines all pure and total operations on lists that can be
used in specifications. It is implemented by FStar_List_Tot_Base.ml, any
functional change and/or the addition of new functions MUST be reflected
there.
@summary Pure total operations on lists
*)
module FStar.List.Tot.Base
(**
Base operations
*)
(** [isEmpty l] returns [true] if and only if [l] is empty *)
val isEmpty: list 'a -> Tot bool
let isEmpty l = match l with
| [] -> true
| _ -> false
(** [hd l] returns the first element of [l]. Requires [l] to be
nonempty, at type-checking time. Named as in: OCaml, F#, Coq *)
val hd: l:list 'a{Cons? l} -> Tot 'a
let hd = function
| hd::_ -> hd
(** [tail l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Similar to: tl in OCaml, F#, Coq
*)
val tail: l:list 'a {Cons? l} -> Tot (list 'a)
let tail = function
| _::tl -> tl
(** [tl l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Named as in: OCaml, F#, Coq
*)
val tl: l:list 'a {Cons? l} -> Tot (list 'a)
let tl = tail
(** [last l] returns the last element of [l]. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val last: l:list 'a {Cons? l} -> Tot 'a
let rec last = function
| [hd] -> hd
| _::tl -> last tl
(** [init l] returns [l] without its last element. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val init: l:list 'a {Cons? l} -> Tot (list 'a)
let rec init = function
| [_] -> []
| hd::tl -> hd::(init tl)
(** [length l] returns the total number of elements in [l]. Named as
in: OCaml, F#, Coq *)
val length: list 'a -> Tot nat
let rec length = function
| [] -> 0
| _::tl -> 1 + length tl
(** [nth l n] returns the [n]-th element in list [l] (with the first
element being the 0-th) if [l] is long enough, or [None]
otherwise. Named as in: OCaml, F#, Coq *)
val nth: list 'a -> nat -> Tot (option 'a)
let rec nth l n = match l with
| [] -> None
| hd::tl -> if n = 0 then Some hd else nth tl (n - 1)
(** [index l n] returns the [n]-th element in list [l] (with the first
element being the 0-th). Requires, at type-checking time, that [l] be
of length at least [n+1]. *)
val index: #a:Type -> l:list a -> i:nat{i < length l} -> Tot a
let rec index #a (l: list a) (i:nat{i < length l}): Tot a =
if i = 0 then
hd l
else
index (tl l) (i - 1)
(** [count x l] returns the number of occurrences of [x] in
[l]. Requires, at type-checking time, the type of [a] to have equality
defined. Similar to: [List.count_occ] in Coq. *)
val count: #a:eqtype -> a -> list a -> Tot nat
let rec count #a x = function
| [] -> 0
| hd::tl -> if x=hd then 1 + count x tl else count x tl
(** [rev_acc l1 l2] appends the elements of [l1] to the beginning of
[l2], in reverse order. It is equivalent to [append (rev l1) l2], but
is tail-recursive. Similar to: [List.rev_append] in OCaml, Coq. *)
val rev_acc: list 'a -> list 'a -> Tot (list 'a)
let rec rev_acc l acc = match l with
| [] -> acc
| hd::tl -> rev_acc tl (hd::acc)
(** [rev l] returns the list [l] in reverse order. Named as in: OCaml,
F#, Coq. *)
val rev: list 'a -> Tot (list 'a)
let rev l = rev_acc l []
(** [append l1 l2] appends the elements of [l2] to the end of [l1]. Named as: OCaml, F#. Similar to: [List.app] in Coq. *)
val append: list 'a -> list 'a -> Tot (list 'a)
let rec append x y = match x with
| [] -> y
| a::tl -> a::append tl y
(** Defines notation [@@] for [append], as in OCaml, F# . *)
let op_At x y = append x y
(** [snoc (l, x)] adds [x] to the end of the list [l].
Note: We use an uncurried [snoc (l, x)] instead of the curried
[snoc l x]. This is intentional. If [snoc] takes a pair instead
of 2 arguments, it allows for a better pattern on
[lemma_unsnoc_snoc], which connects [snoc] and [unsnoc]. In
particular, if we had two arguments, then either the pattern would
either be too restrictive or would lead to over-triggering. More
context for this can be seen in the (collapsed and uncollapsed)
comments at https://github.com/FStarLang/FStar/pull/1560 *)
val snoc: (list 'a * 'a) -> Tot (list 'a)
let snoc (l, x) = append l [x]
(** [flatten l], where [l] is a list of lists, returns the list of the
elements of the lists in [l], preserving their order. Named as in:
OCaml, Coq. *)
val flatten: list (list 'a) -> Tot (list 'a)
let rec flatten l = match l with
| [] -> []
| hd::tl -> append hd (flatten tl)
(** [map f l] applies [f] to each element of [l] and returns the list
of results, in the order of the original elements in [l]. Requires, at
type-checking time, [f] to be a pure total function. Named as in: OCaml, Coq, F# *)
val map: ('a -> Tot 'b) -> list 'a -> Tot (list 'b)
let rec map f x = match x with
| [] -> []
| a::tl -> f a::map f tl
(** [mapi_init f l n] applies, for each [k], [f (n+k)] to the [k]-th
element of [l] and returns the list of results, in the order of the
original elements in [l]. Requires, at type-checking time, [f] to be a
pure total function. *)
val mapi_init: (int -> 'a -> Tot 'b) -> list 'a -> int -> Tot (list 'b)
let rec mapi_init f l i = match l with
| [] -> []
| hd::tl -> (f i hd)::(mapi_init f tl (i+1))
(** [mapi f l] applies, for each [k], [f k] to the [k]-th element of
[l] and returns the list of results, in the order of the original
elements in [l]. Requires, at type-checking time, [f] to be a pure
total function. Named as in: OCaml *)
val mapi: (int -> 'a -> Tot 'b) -> list 'a -> Tot (list 'b)
let mapi f l = mapi_init f l 0
(** [concatMap f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. This is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. *)
val concatMap: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec concatMap f = function
| [] -> []
| a::tl ->
let fa = f a in
let ftl = concatMap f tl in
append fa ftl
(** [fold_left f x [y1; y2; ...; yn]] computes (f (... (f x y1) y2)
... yn). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq. *)
val fold_left: ('a -> 'b -> Tot 'a) -> 'a -> l:list 'b -> Tot 'a (decreases l)
let rec fold_left f x l = match l with
| [] -> x
| hd::tl -> fold_left f (f x hd) tl
(** [fold_right f [x1; x2; ...; xn] y] computes (f x1 (f x2 (... (f xn
y)) ... )). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq *)
val fold_right: ('a -> 'b -> Tot 'b) -> list 'a -> 'b -> Tot 'b
let rec fold_right f l x = match l with
| [] -> x
| hd::tl -> f hd (fold_right f tl x)
(** [fold_right_gtot] is just like [fold_right], except `f` is
a ghost function **)
let rec fold_right_gtot (#a:Type) (#b:Type) (l:list a) (f:a -> b -> GTot b) (x:b)
: GTot b
= match l with
| [] -> x
| hd::tl -> f hd (fold_right_gtot tl f x)
(* We define map in terms of fold, to share simple lemmas *)
let map_gtot #a #b (f:a -> GTot b) (x:list a)
: GTot (list b)
= fold_right_gtot x (fun x tl -> f x :: tl) []
(** [fold_left2 f x [y1; y2; ...; yn] [z1; z2; ...; zn]] computes (f
(... (f x y1 z1) y2 z2) ... yn zn). Requires, at type-checking time,
[f] to be a pure total function, and the lists [y1; y2; ...; yn] and
[z1; z2; ...; zn] to have the same lengths. Named as in: OCaml *)
val fold_left2 : f:('a -> 'b -> 'c -> Tot 'a) -> accu:'a -> l1:(list 'b) -> l2:(list 'c) ->
Pure 'a (requires (length l1 == length l2)) (ensures (fun _ -> True)) (decreases l1)
let rec fold_left2 f accu l1 l2 =
match (l1, l2) with
| ([], []) -> accu
| (a1::l1, a2::l2) -> fold_left2 f (f accu a1 a2) l1 l2
(** Propositional membership (as in Coq). Does not require decidable
equality. *)
(** [memP x l] holds if, and only if, [x] appears as an
element of [l]. Similar to: List.In in Coq. *)
let rec memP (#a: Type) (x: a) (l: list a) : Tot Type0 =
match l with
| [] -> False
| y :: q -> x == y \/ memP x q
(** List searching **)
(** [mem x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. Named as in: OCaml. See also:
List.In in Coq, which is propositional. *)
val mem: #a:eqtype -> a -> list a -> Tot bool
let rec mem #a x = function
| [] -> false
| hd::tl -> if hd = x then true else mem x tl
(** [contains x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. It is equivalent to: [mem x
l]. TODO: should we rather swap the order of arguments? *)
let contains : #a:eqtype -> a -> list a -> Tot bool = mem
(** [existsb f l] returns [true] if, and only if, there exists some
element [x] in [l] such that [f x] holds. *)
val existsb: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot bool
let rec existsb #a f l = match l with
| [] -> false
| hd::tl -> if f hd then true else existsb f tl
(** [find f l] returns [Some x] for some element [x] appearing in [l]
such that [f x] holds, or [None] only if no such [x] exists. *)
val find: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot (option (x:a{f x}))
let rec find #a f l = match l with
| [] -> None #(x:a{f x}) //These type annotations are only present because it makes bootstrapping go much faster
| hd::tl -> if f hd then Some #(x:a{f x}) hd else find f tl
(** Filtering elements of a list [l] through a Boolean pure total
predicate [f] *)
(** [filter f l] returns [l] with all elements [x] such that [f x]
does not hold removed. Requires, at type-checking time, [f] to be a
pure total function. Named as in: OCaml, Coq *)
val filter : #a: Type -> f:(a -> Tot bool) -> l: list a -> Tot (m:list a{forall x. memP x m ==> f x})
let rec filter #a f = function
| [] -> []
| hd::tl -> if f hd then hd::filter f tl else filter f tl
(** Postcondition on [filter f l]: for any element [x] of [filter f l],
[f x] holds. Requires, at type-checking time, [f] to be a pure total
function.*)
val mem_filter (#a:Type) (f: (a -> Tot bool)) (l: list a) (x: a) : Lemma
(requires (memP x (filter f l)))
(ensures (f x))
let mem_filter f l x = ()
(** Postcondition on [filter f l]: stated with [forall]: for any element
[x] of [filter f l], [f x] holds. Requires, at type-checking time, [f]
to be a pure total function. *)
val mem_filter_forall (#a:Type) (f: (a -> Tot bool)) (l: list a) : Lemma
(requires True)
(ensures (forall x . memP x (filter f l) ==> f x))
[SMTPat (filter f l)]
let mem_filter_forall f l = FStar.Classical.ghost_lemma (mem_filter f l)
(** [for_all f l] returns [true] if, and only if, for all elements [x]
appearing in [l], [f x] holds. Requires, at type-checking time, [f] to
be a pure total function. Named as in: OCaml. Similar to: List.forallb
in Coq *)
val for_all: ('a -> Tot bool) -> list 'a -> Tot bool
let rec for_all f l = match l with
| [] -> true
| hd::tl -> if f hd then for_all f tl else false
(** Specification for [for_all f l] vs. mem *)
let rec for_all_mem
(#a: Type)
(f: (a -> Tot bool))
(l: list a)
: Lemma
(for_all f l <==> (forall x . memP x l ==> f x))
= match l with
| [] -> ()
| _ :: q -> for_all_mem f q
(** [collect f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. It is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. TODO: what is
the difference with [concatMap]? *)
val collect: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec collect f l = match l with
| [] -> []
| hd::tl -> append (f hd) (collect f tl)
(** [tryFind f l] returns [Some x] for some element [x] appearing in
[l] such that [f x] holds, or [None] only if no such [x]
exists. Requires, at type-checking time, [f] to be a pure total
function. Contrary to [find], [tryFind] provides no postcondition on
its result. *)
val tryFind: ('a -> Tot bool) -> list 'a -> Tot (option 'a)
let rec tryFind p l = match l with
| [] -> None
| hd::tl -> if p hd then Some hd else tryFind p tl
(** [tryPick f l] returns [y] for some element [x] appearing in [l]
such that [f x = Some y] for some y, or [None] only if [f x = None]
for all elements [x] of [l]. Requires, at type-checking time, [f] to
be a pure total function. *)
val tryPick: ('a -> Tot (option 'b)) -> list 'a -> Tot (option 'b)
let rec tryPick f l = match l with
| [] -> None
| hd::tl ->
match f hd with
| Some x -> Some x
| None -> tryPick f tl
(** [choose f l] returns the list of [y] for all elements [x]
appearing in [l] such that [f x = Some y] for some [y]. Requires, at
type-checking time, [f] to be a pure total function. *)
val choose: ('a -> Tot (option 'b)) -> list 'a -> Tot (list 'b)
let rec choose f l = match l with
| [] -> []
| hd::tl ->
match f hd with
| Some x -> x::(choose f tl)
| None -> choose f tl
(** [partition f l] returns the pair of lists [(l1, l2)] where all
elements [x] of [l] are in [l1] if [f x] holds, and in [l2]
otherwise. Both [l1] and [l2] retain the original order of
[l]. Requires, at type-checking time, [f] to be a pure total
function. *)
val partition: f:('a -> Tot bool) -> list 'a -> Tot (list 'a * list 'a)
let rec partition f = function
| [] -> [], []
| hd::tl ->
let l1, l2 = partition f tl in
if f hd
then hd::l1, l2
else l1, hd::l2
(** [subset la lb] is true if and only if all the elements from [la]
are also in [lb]. Requires, at type-checking time, the type of
elements of [la] and [lb] to have decidable equality. *)
val subset: #a:eqtype -> list a -> list a -> Tot bool
let rec subset #a la lb =
match la with
| [] -> true
| h :: tl -> mem h lb && subset tl lb
(** [noRepeats l] returns [true] if, and only if, no element of [l]
appears in [l] more than once. Requires, at type-checking time, the
type of elements of [la] and [lb] to have decidable equality. *)
val noRepeats : #a:eqtype -> list a -> Tot bool
let rec noRepeats #a la =
match la with
| [] -> true
| h :: tl -> not(mem h tl) && noRepeats tl
(** [no_repeats_p l] valid if, and only if, no element of [l]
appears in [l] more than once. *)
val no_repeats_p : #a:Type -> list a -> Tot prop
let rec no_repeats_p #a la =
match la with
| [] -> True
| h :: tl -> ~(memP h tl) /\ no_repeats_p tl
(** List of tuples **)
(** [assoc x l] returns [Some y] where [(x, y)] is the first element
of [l] whose first element is [x], or [None] only if no such element
exists. Requires, at type-checking time, the type of [x] to have
decidable equality. Named as in: OCaml. *)
val assoc: #a:eqtype -> #b:Type -> a -> list (a * b) -> Tot (option b)
let rec assoc #a #b x = function
| [] -> None
| (x', y)::tl -> if x=x' then Some y else assoc x tl
(** [split] takes a list of pairs [(x1, y1), ..., (xn, yn)] and
returns the pair of lists ([x1, ..., xn], [y1, ..., yn]). Named as in:
OCaml *)
val split: list ('a * 'b) -> Tot (list 'a * list 'b)
let rec split l = match l with
| [] -> ([],[])
| (hd1,hd2)::tl ->
let (tl1,tl2) = split tl in
(hd1::tl1,hd2::tl2)
(** [unzip] takes a list of pairs [(x1, y1), ..., (xn, yn)] and
returns the pair of lists ([x1, ..., xn], [y1, ..., yn]). Named as in:
Haskell *)
let unzip l = split l
(** [unzip3] takes a list of triples [(x1, y1, z1), ..., (xn, yn, zn)]
and returns the triple of lists ([x1, ..., xn], [y1, ..., yn], [z1,
..., zn]). Named as in: Haskell *)
val unzip3: list ('a * 'b * 'c) -> Tot (list 'a * list 'b * list 'c)
let rec unzip3 l = match l with
| [] -> ([],[],[])
| (hd1,hd2,hd3)::tl ->
let (tl1,tl2,tl3) = unzip3 tl in
(hd1::tl1,hd2::tl2,hd3::tl3)
(** Splitting a list at some index **)
(** [splitAt] takes a natural number n and a list and returns a pair
of the maximal prefix of l of size smaller than n and the rest of
the list *)
let rec splitAt (#a:Type) (n:nat) (l:list a) : Tot (list a * list a) =
if n = 0 then [], l
else
match l with
| [] -> [], l
| x :: xs -> let l1, l2 = splitAt (n-1) xs in x :: l1, l2
let rec lemma_splitAt_snd_length (#a:Type) (n:nat) (l:list a) :
Lemma
(requires (n <= length l))
(ensures (length (snd (splitAt n l)) = length l - n)) =
match n, l with
| 0, _ -> ()
| _, [] -> ()
| _, _ :: l' -> lemma_splitAt_snd_length (n - 1) l'
(** [unsnoc] is an inverse of [snoc]. It splits a list into
all-elements-except-last and last element. *) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.List.Tot.Base.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"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 | l: Prims.list a {FStar.List.Tot.Base.length l > 0} -> Prims.list a * a | Prims.Tot | [
"total"
] | [] | [
"Prims.list",
"Prims.b2t",
"Prims.op_GreaterThan",
"FStar.List.Tot.Base.length",
"FStar.Pervasives.Native.Mktuple2",
"FStar.List.Tot.Base.hd",
"Prims.unit",
"FStar.List.Tot.Base.lemma_splitAt_snd_length",
"Prims.op_Subtraction",
"FStar.Pervasives.Native.tuple2",
"FStar.List.Tot.Base.splitAt"
] | [] | false | false | false | false | false | let unsnoc #a l =
| let l1, l2 = splitAt (length l - 1) l in
lemma_splitAt_snd_length (length l - 1) l;
l1, hd l2 | false |
FStar.List.Tot.Base.fst | FStar.List.Tot.Base.no_repeats_p | val no_repeats_p : #a:Type -> list a -> Tot prop | val no_repeats_p : #a:Type -> list a -> Tot prop | let rec no_repeats_p #a la =
match la with
| [] -> True
| h :: tl -> ~(memP h tl) /\ no_repeats_p tl | {
"file_name": "ulib/FStar.List.Tot.Base.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 46,
"end_line": 400,
"start_col": 0,
"start_line": 397
} | (*
Copyright 2008-2014 Nikhil Swamy and 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.
*)
(**
This module defines all pure and total operations on lists that can be
used in specifications. It is implemented by FStar_List_Tot_Base.ml, any
functional change and/or the addition of new functions MUST be reflected
there.
@summary Pure total operations on lists
*)
module FStar.List.Tot.Base
(**
Base operations
*)
(** [isEmpty l] returns [true] if and only if [l] is empty *)
val isEmpty: list 'a -> Tot bool
let isEmpty l = match l with
| [] -> true
| _ -> false
(** [hd l] returns the first element of [l]. Requires [l] to be
nonempty, at type-checking time. Named as in: OCaml, F#, Coq *)
val hd: l:list 'a{Cons? l} -> Tot 'a
let hd = function
| hd::_ -> hd
(** [tail l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Similar to: tl in OCaml, F#, Coq
*)
val tail: l:list 'a {Cons? l} -> Tot (list 'a)
let tail = function
| _::tl -> tl
(** [tl l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Named as in: OCaml, F#, Coq
*)
val tl: l:list 'a {Cons? l} -> Tot (list 'a)
let tl = tail
(** [last l] returns the last element of [l]. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val last: l:list 'a {Cons? l} -> Tot 'a
let rec last = function
| [hd] -> hd
| _::tl -> last tl
(** [init l] returns [l] without its last element. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val init: l:list 'a {Cons? l} -> Tot (list 'a)
let rec init = function
| [_] -> []
| hd::tl -> hd::(init tl)
(** [length l] returns the total number of elements in [l]. Named as
in: OCaml, F#, Coq *)
val length: list 'a -> Tot nat
let rec length = function
| [] -> 0
| _::tl -> 1 + length tl
(** [nth l n] returns the [n]-th element in list [l] (with the first
element being the 0-th) if [l] is long enough, or [None]
otherwise. Named as in: OCaml, F#, Coq *)
val nth: list 'a -> nat -> Tot (option 'a)
let rec nth l n = match l with
| [] -> None
| hd::tl -> if n = 0 then Some hd else nth tl (n - 1)
(** [index l n] returns the [n]-th element in list [l] (with the first
element being the 0-th). Requires, at type-checking time, that [l] be
of length at least [n+1]. *)
val index: #a:Type -> l:list a -> i:nat{i < length l} -> Tot a
let rec index #a (l: list a) (i:nat{i < length l}): Tot a =
if i = 0 then
hd l
else
index (tl l) (i - 1)
(** [count x l] returns the number of occurrences of [x] in
[l]. Requires, at type-checking time, the type of [a] to have equality
defined. Similar to: [List.count_occ] in Coq. *)
val count: #a:eqtype -> a -> list a -> Tot nat
let rec count #a x = function
| [] -> 0
| hd::tl -> if x=hd then 1 + count x tl else count x tl
(** [rev_acc l1 l2] appends the elements of [l1] to the beginning of
[l2], in reverse order. It is equivalent to [append (rev l1) l2], but
is tail-recursive. Similar to: [List.rev_append] in OCaml, Coq. *)
val rev_acc: list 'a -> list 'a -> Tot (list 'a)
let rec rev_acc l acc = match l with
| [] -> acc
| hd::tl -> rev_acc tl (hd::acc)
(** [rev l] returns the list [l] in reverse order. Named as in: OCaml,
F#, Coq. *)
val rev: list 'a -> Tot (list 'a)
let rev l = rev_acc l []
(** [append l1 l2] appends the elements of [l2] to the end of [l1]. Named as: OCaml, F#. Similar to: [List.app] in Coq. *)
val append: list 'a -> list 'a -> Tot (list 'a)
let rec append x y = match x with
| [] -> y
| a::tl -> a::append tl y
(** Defines notation [@@] for [append], as in OCaml, F# . *)
let op_At x y = append x y
(** [snoc (l, x)] adds [x] to the end of the list [l].
Note: We use an uncurried [snoc (l, x)] instead of the curried
[snoc l x]. This is intentional. If [snoc] takes a pair instead
of 2 arguments, it allows for a better pattern on
[lemma_unsnoc_snoc], which connects [snoc] and [unsnoc]. In
particular, if we had two arguments, then either the pattern would
either be too restrictive or would lead to over-triggering. More
context for this can be seen in the (collapsed and uncollapsed)
comments at https://github.com/FStarLang/FStar/pull/1560 *)
val snoc: (list 'a * 'a) -> Tot (list 'a)
let snoc (l, x) = append l [x]
(** [flatten l], where [l] is a list of lists, returns the list of the
elements of the lists in [l], preserving their order. Named as in:
OCaml, Coq. *)
val flatten: list (list 'a) -> Tot (list 'a)
let rec flatten l = match l with
| [] -> []
| hd::tl -> append hd (flatten tl)
(** [map f l] applies [f] to each element of [l] and returns the list
of results, in the order of the original elements in [l]. Requires, at
type-checking time, [f] to be a pure total function. Named as in: OCaml, Coq, F# *)
val map: ('a -> Tot 'b) -> list 'a -> Tot (list 'b)
let rec map f x = match x with
| [] -> []
| a::tl -> f a::map f tl
(** [mapi_init f l n] applies, for each [k], [f (n+k)] to the [k]-th
element of [l] and returns the list of results, in the order of the
original elements in [l]. Requires, at type-checking time, [f] to be a
pure total function. *)
val mapi_init: (int -> 'a -> Tot 'b) -> list 'a -> int -> Tot (list 'b)
let rec mapi_init f l i = match l with
| [] -> []
| hd::tl -> (f i hd)::(mapi_init f tl (i+1))
(** [mapi f l] applies, for each [k], [f k] to the [k]-th element of
[l] and returns the list of results, in the order of the original
elements in [l]. Requires, at type-checking time, [f] to be a pure
total function. Named as in: OCaml *)
val mapi: (int -> 'a -> Tot 'b) -> list 'a -> Tot (list 'b)
let mapi f l = mapi_init f l 0
(** [concatMap f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. This is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. *)
val concatMap: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec concatMap f = function
| [] -> []
| a::tl ->
let fa = f a in
let ftl = concatMap f tl in
append fa ftl
(** [fold_left f x [y1; y2; ...; yn]] computes (f (... (f x y1) y2)
... yn). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq. *)
val fold_left: ('a -> 'b -> Tot 'a) -> 'a -> l:list 'b -> Tot 'a (decreases l)
let rec fold_left f x l = match l with
| [] -> x
| hd::tl -> fold_left f (f x hd) tl
(** [fold_right f [x1; x2; ...; xn] y] computes (f x1 (f x2 (... (f xn
y)) ... )). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq *)
val fold_right: ('a -> 'b -> Tot 'b) -> list 'a -> 'b -> Tot 'b
let rec fold_right f l x = match l with
| [] -> x
| hd::tl -> f hd (fold_right f tl x)
(** [fold_right_gtot] is just like [fold_right], except `f` is
a ghost function **)
let rec fold_right_gtot (#a:Type) (#b:Type) (l:list a) (f:a -> b -> GTot b) (x:b)
: GTot b
= match l with
| [] -> x
| hd::tl -> f hd (fold_right_gtot tl f x)
(* We define map in terms of fold, to share simple lemmas *)
let map_gtot #a #b (f:a -> GTot b) (x:list a)
: GTot (list b)
= fold_right_gtot x (fun x tl -> f x :: tl) []
(** [fold_left2 f x [y1; y2; ...; yn] [z1; z2; ...; zn]] computes (f
(... (f x y1 z1) y2 z2) ... yn zn). Requires, at type-checking time,
[f] to be a pure total function, and the lists [y1; y2; ...; yn] and
[z1; z2; ...; zn] to have the same lengths. Named as in: OCaml *)
val fold_left2 : f:('a -> 'b -> 'c -> Tot 'a) -> accu:'a -> l1:(list 'b) -> l2:(list 'c) ->
Pure 'a (requires (length l1 == length l2)) (ensures (fun _ -> True)) (decreases l1)
let rec fold_left2 f accu l1 l2 =
match (l1, l2) with
| ([], []) -> accu
| (a1::l1, a2::l2) -> fold_left2 f (f accu a1 a2) l1 l2
(** Propositional membership (as in Coq). Does not require decidable
equality. *)
(** [memP x l] holds if, and only if, [x] appears as an
element of [l]. Similar to: List.In in Coq. *)
let rec memP (#a: Type) (x: a) (l: list a) : Tot Type0 =
match l with
| [] -> False
| y :: q -> x == y \/ memP x q
(** List searching **)
(** [mem x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. Named as in: OCaml. See also:
List.In in Coq, which is propositional. *)
val mem: #a:eqtype -> a -> list a -> Tot bool
let rec mem #a x = function
| [] -> false
| hd::tl -> if hd = x then true else mem x tl
(** [contains x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. It is equivalent to: [mem x
l]. TODO: should we rather swap the order of arguments? *)
let contains : #a:eqtype -> a -> list a -> Tot bool = mem
(** [existsb f l] returns [true] if, and only if, there exists some
element [x] in [l] such that [f x] holds. *)
val existsb: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot bool
let rec existsb #a f l = match l with
| [] -> false
| hd::tl -> if f hd then true else existsb f tl
(** [find f l] returns [Some x] for some element [x] appearing in [l]
such that [f x] holds, or [None] only if no such [x] exists. *)
val find: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot (option (x:a{f x}))
let rec find #a f l = match l with
| [] -> None #(x:a{f x}) //These type annotations are only present because it makes bootstrapping go much faster
| hd::tl -> if f hd then Some #(x:a{f x}) hd else find f tl
(** Filtering elements of a list [l] through a Boolean pure total
predicate [f] *)
(** [filter f l] returns [l] with all elements [x] such that [f x]
does not hold removed. Requires, at type-checking time, [f] to be a
pure total function. Named as in: OCaml, Coq *)
val filter : #a: Type -> f:(a -> Tot bool) -> l: list a -> Tot (m:list a{forall x. memP x m ==> f x})
let rec filter #a f = function
| [] -> []
| hd::tl -> if f hd then hd::filter f tl else filter f tl
(** Postcondition on [filter f l]: for any element [x] of [filter f l],
[f x] holds. Requires, at type-checking time, [f] to be a pure total
function.*)
val mem_filter (#a:Type) (f: (a -> Tot bool)) (l: list a) (x: a) : Lemma
(requires (memP x (filter f l)))
(ensures (f x))
let mem_filter f l x = ()
(** Postcondition on [filter f l]: stated with [forall]: for any element
[x] of [filter f l], [f x] holds. Requires, at type-checking time, [f]
to be a pure total function. *)
val mem_filter_forall (#a:Type) (f: (a -> Tot bool)) (l: list a) : Lemma
(requires True)
(ensures (forall x . memP x (filter f l) ==> f x))
[SMTPat (filter f l)]
let mem_filter_forall f l = FStar.Classical.ghost_lemma (mem_filter f l)
(** [for_all f l] returns [true] if, and only if, for all elements [x]
appearing in [l], [f x] holds. Requires, at type-checking time, [f] to
be a pure total function. Named as in: OCaml. Similar to: List.forallb
in Coq *)
val for_all: ('a -> Tot bool) -> list 'a -> Tot bool
let rec for_all f l = match l with
| [] -> true
| hd::tl -> if f hd then for_all f tl else false
(** Specification for [for_all f l] vs. mem *)
let rec for_all_mem
(#a: Type)
(f: (a -> Tot bool))
(l: list a)
: Lemma
(for_all f l <==> (forall x . memP x l ==> f x))
= match l with
| [] -> ()
| _ :: q -> for_all_mem f q
(** [collect f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. It is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. TODO: what is
the difference with [concatMap]? *)
val collect: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec collect f l = match l with
| [] -> []
| hd::tl -> append (f hd) (collect f tl)
(** [tryFind f l] returns [Some x] for some element [x] appearing in
[l] such that [f x] holds, or [None] only if no such [x]
exists. Requires, at type-checking time, [f] to be a pure total
function. Contrary to [find], [tryFind] provides no postcondition on
its result. *)
val tryFind: ('a -> Tot bool) -> list 'a -> Tot (option 'a)
let rec tryFind p l = match l with
| [] -> None
| hd::tl -> if p hd then Some hd else tryFind p tl
(** [tryPick f l] returns [y] for some element [x] appearing in [l]
such that [f x = Some y] for some y, or [None] only if [f x = None]
for all elements [x] of [l]. Requires, at type-checking time, [f] to
be a pure total function. *)
val tryPick: ('a -> Tot (option 'b)) -> list 'a -> Tot (option 'b)
let rec tryPick f l = match l with
| [] -> None
| hd::tl ->
match f hd with
| Some x -> Some x
| None -> tryPick f tl
(** [choose f l] returns the list of [y] for all elements [x]
appearing in [l] such that [f x = Some y] for some [y]. Requires, at
type-checking time, [f] to be a pure total function. *)
val choose: ('a -> Tot (option 'b)) -> list 'a -> Tot (list 'b)
let rec choose f l = match l with
| [] -> []
| hd::tl ->
match f hd with
| Some x -> x::(choose f tl)
| None -> choose f tl
(** [partition f l] returns the pair of lists [(l1, l2)] where all
elements [x] of [l] are in [l1] if [f x] holds, and in [l2]
otherwise. Both [l1] and [l2] retain the original order of
[l]. Requires, at type-checking time, [f] to be a pure total
function. *)
val partition: f:('a -> Tot bool) -> list 'a -> Tot (list 'a * list 'a)
let rec partition f = function
| [] -> [], []
| hd::tl ->
let l1, l2 = partition f tl in
if f hd
then hd::l1, l2
else l1, hd::l2
(** [subset la lb] is true if and only if all the elements from [la]
are also in [lb]. Requires, at type-checking time, the type of
elements of [la] and [lb] to have decidable equality. *)
val subset: #a:eqtype -> list a -> list a -> Tot bool
let rec subset #a la lb =
match la with
| [] -> true
| h :: tl -> mem h lb && subset tl lb
(** [noRepeats l] returns [true] if, and only if, no element of [l]
appears in [l] more than once. Requires, at type-checking time, the
type of elements of [la] and [lb] to have decidable equality. *)
val noRepeats : #a:eqtype -> list a -> Tot bool
let rec noRepeats #a la =
match la with
| [] -> true
| h :: tl -> not(mem h tl) && noRepeats tl
(** [no_repeats_p l] valid if, and only if, no element of [l]
appears in [l] more than once. *) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.List.Tot.Base.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"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 | la: Prims.list a -> Prims.prop | Prims.Tot | [
"total"
] | [] | [
"Prims.list",
"Prims.l_True",
"Prims.l_and",
"Prims.l_not",
"FStar.List.Tot.Base.memP",
"FStar.List.Tot.Base.no_repeats_p",
"Prims.prop"
] | [
"recursion"
] | false | false | false | true | true | let rec no_repeats_p #a la =
| match la with
| [] -> True
| h :: tl -> ~(memP h tl) /\ no_repeats_p tl | false |
FStar.List.Tot.Base.fst | FStar.List.Tot.Base.split3 | val split3: #a:Type -> l:list a -> i:nat{i < length l} -> Tot (list a * a * list a) | val split3: #a:Type -> l:list a -> i:nat{i < length l} -> Tot (list a * a * list a) | let split3 #a l i =
let a, rest = splitAt i l in
lemma_splitAt_snd_length i l;
let b :: c = rest in
a, b, c | {
"file_name": "ulib/FStar.List.Tot.Base.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 9,
"end_line": 475,
"start_col": 0,
"start_line": 471
} | (*
Copyright 2008-2014 Nikhil Swamy and 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.
*)
(**
This module defines all pure and total operations on lists that can be
used in specifications. It is implemented by FStar_List_Tot_Base.ml, any
functional change and/or the addition of new functions MUST be reflected
there.
@summary Pure total operations on lists
*)
module FStar.List.Tot.Base
(**
Base operations
*)
(** [isEmpty l] returns [true] if and only if [l] is empty *)
val isEmpty: list 'a -> Tot bool
let isEmpty l = match l with
| [] -> true
| _ -> false
(** [hd l] returns the first element of [l]. Requires [l] to be
nonempty, at type-checking time. Named as in: OCaml, F#, Coq *)
val hd: l:list 'a{Cons? l} -> Tot 'a
let hd = function
| hd::_ -> hd
(** [tail l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Similar to: tl in OCaml, F#, Coq
*)
val tail: l:list 'a {Cons? l} -> Tot (list 'a)
let tail = function
| _::tl -> tl
(** [tl l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Named as in: OCaml, F#, Coq
*)
val tl: l:list 'a {Cons? l} -> Tot (list 'a)
let tl = tail
(** [last l] returns the last element of [l]. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val last: l:list 'a {Cons? l} -> Tot 'a
let rec last = function
| [hd] -> hd
| _::tl -> last tl
(** [init l] returns [l] without its last element. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val init: l:list 'a {Cons? l} -> Tot (list 'a)
let rec init = function
| [_] -> []
| hd::tl -> hd::(init tl)
(** [length l] returns the total number of elements in [l]. Named as
in: OCaml, F#, Coq *)
val length: list 'a -> Tot nat
let rec length = function
| [] -> 0
| _::tl -> 1 + length tl
(** [nth l n] returns the [n]-th element in list [l] (with the first
element being the 0-th) if [l] is long enough, or [None]
otherwise. Named as in: OCaml, F#, Coq *)
val nth: list 'a -> nat -> Tot (option 'a)
let rec nth l n = match l with
| [] -> None
| hd::tl -> if n = 0 then Some hd else nth tl (n - 1)
(** [index l n] returns the [n]-th element in list [l] (with the first
element being the 0-th). Requires, at type-checking time, that [l] be
of length at least [n+1]. *)
val index: #a:Type -> l:list a -> i:nat{i < length l} -> Tot a
let rec index #a (l: list a) (i:nat{i < length l}): Tot a =
if i = 0 then
hd l
else
index (tl l) (i - 1)
(** [count x l] returns the number of occurrences of [x] in
[l]. Requires, at type-checking time, the type of [a] to have equality
defined. Similar to: [List.count_occ] in Coq. *)
val count: #a:eqtype -> a -> list a -> Tot nat
let rec count #a x = function
| [] -> 0
| hd::tl -> if x=hd then 1 + count x tl else count x tl
(** [rev_acc l1 l2] appends the elements of [l1] to the beginning of
[l2], in reverse order. It is equivalent to [append (rev l1) l2], but
is tail-recursive. Similar to: [List.rev_append] in OCaml, Coq. *)
val rev_acc: list 'a -> list 'a -> Tot (list 'a)
let rec rev_acc l acc = match l with
| [] -> acc
| hd::tl -> rev_acc tl (hd::acc)
(** [rev l] returns the list [l] in reverse order. Named as in: OCaml,
F#, Coq. *)
val rev: list 'a -> Tot (list 'a)
let rev l = rev_acc l []
(** [append l1 l2] appends the elements of [l2] to the end of [l1]. Named as: OCaml, F#. Similar to: [List.app] in Coq. *)
val append: list 'a -> list 'a -> Tot (list 'a)
let rec append x y = match x with
| [] -> y
| a::tl -> a::append tl y
(** Defines notation [@@] for [append], as in OCaml, F# . *)
let op_At x y = append x y
(** [snoc (l, x)] adds [x] to the end of the list [l].
Note: We use an uncurried [snoc (l, x)] instead of the curried
[snoc l x]. This is intentional. If [snoc] takes a pair instead
of 2 arguments, it allows for a better pattern on
[lemma_unsnoc_snoc], which connects [snoc] and [unsnoc]. In
particular, if we had two arguments, then either the pattern would
either be too restrictive or would lead to over-triggering. More
context for this can be seen in the (collapsed and uncollapsed)
comments at https://github.com/FStarLang/FStar/pull/1560 *)
val snoc: (list 'a * 'a) -> Tot (list 'a)
let snoc (l, x) = append l [x]
(** [flatten l], where [l] is a list of lists, returns the list of the
elements of the lists in [l], preserving their order. Named as in:
OCaml, Coq. *)
val flatten: list (list 'a) -> Tot (list 'a)
let rec flatten l = match l with
| [] -> []
| hd::tl -> append hd (flatten tl)
(** [map f l] applies [f] to each element of [l] and returns the list
of results, in the order of the original elements in [l]. Requires, at
type-checking time, [f] to be a pure total function. Named as in: OCaml, Coq, F# *)
val map: ('a -> Tot 'b) -> list 'a -> Tot (list 'b)
let rec map f x = match x with
| [] -> []
| a::tl -> f a::map f tl
(** [mapi_init f l n] applies, for each [k], [f (n+k)] to the [k]-th
element of [l] and returns the list of results, in the order of the
original elements in [l]. Requires, at type-checking time, [f] to be a
pure total function. *)
val mapi_init: (int -> 'a -> Tot 'b) -> list 'a -> int -> Tot (list 'b)
let rec mapi_init f l i = match l with
| [] -> []
| hd::tl -> (f i hd)::(mapi_init f tl (i+1))
(** [mapi f l] applies, for each [k], [f k] to the [k]-th element of
[l] and returns the list of results, in the order of the original
elements in [l]. Requires, at type-checking time, [f] to be a pure
total function. Named as in: OCaml *)
val mapi: (int -> 'a -> Tot 'b) -> list 'a -> Tot (list 'b)
let mapi f l = mapi_init f l 0
(** [concatMap f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. This is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. *)
val concatMap: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec concatMap f = function
| [] -> []
| a::tl ->
let fa = f a in
let ftl = concatMap f tl in
append fa ftl
(** [fold_left f x [y1; y2; ...; yn]] computes (f (... (f x y1) y2)
... yn). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq. *)
val fold_left: ('a -> 'b -> Tot 'a) -> 'a -> l:list 'b -> Tot 'a (decreases l)
let rec fold_left f x l = match l with
| [] -> x
| hd::tl -> fold_left f (f x hd) tl
(** [fold_right f [x1; x2; ...; xn] y] computes (f x1 (f x2 (... (f xn
y)) ... )). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq *)
val fold_right: ('a -> 'b -> Tot 'b) -> list 'a -> 'b -> Tot 'b
let rec fold_right f l x = match l with
| [] -> x
| hd::tl -> f hd (fold_right f tl x)
(** [fold_right_gtot] is just like [fold_right], except `f` is
a ghost function **)
let rec fold_right_gtot (#a:Type) (#b:Type) (l:list a) (f:a -> b -> GTot b) (x:b)
: GTot b
= match l with
| [] -> x
| hd::tl -> f hd (fold_right_gtot tl f x)
(* We define map in terms of fold, to share simple lemmas *)
let map_gtot #a #b (f:a -> GTot b) (x:list a)
: GTot (list b)
= fold_right_gtot x (fun x tl -> f x :: tl) []
(** [fold_left2 f x [y1; y2; ...; yn] [z1; z2; ...; zn]] computes (f
(... (f x y1 z1) y2 z2) ... yn zn). Requires, at type-checking time,
[f] to be a pure total function, and the lists [y1; y2; ...; yn] and
[z1; z2; ...; zn] to have the same lengths. Named as in: OCaml *)
val fold_left2 : f:('a -> 'b -> 'c -> Tot 'a) -> accu:'a -> l1:(list 'b) -> l2:(list 'c) ->
Pure 'a (requires (length l1 == length l2)) (ensures (fun _ -> True)) (decreases l1)
let rec fold_left2 f accu l1 l2 =
match (l1, l2) with
| ([], []) -> accu
| (a1::l1, a2::l2) -> fold_left2 f (f accu a1 a2) l1 l2
(** Propositional membership (as in Coq). Does not require decidable
equality. *)
(** [memP x l] holds if, and only if, [x] appears as an
element of [l]. Similar to: List.In in Coq. *)
let rec memP (#a: Type) (x: a) (l: list a) : Tot Type0 =
match l with
| [] -> False
| y :: q -> x == y \/ memP x q
(** List searching **)
(** [mem x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. Named as in: OCaml. See also:
List.In in Coq, which is propositional. *)
val mem: #a:eqtype -> a -> list a -> Tot bool
let rec mem #a x = function
| [] -> false
| hd::tl -> if hd = x then true else mem x tl
(** [contains x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. It is equivalent to: [mem x
l]. TODO: should we rather swap the order of arguments? *)
let contains : #a:eqtype -> a -> list a -> Tot bool = mem
(** [existsb f l] returns [true] if, and only if, there exists some
element [x] in [l] such that [f x] holds. *)
val existsb: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot bool
let rec existsb #a f l = match l with
| [] -> false
| hd::tl -> if f hd then true else existsb f tl
(** [find f l] returns [Some x] for some element [x] appearing in [l]
such that [f x] holds, or [None] only if no such [x] exists. *)
val find: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot (option (x:a{f x}))
let rec find #a f l = match l with
| [] -> None #(x:a{f x}) //These type annotations are only present because it makes bootstrapping go much faster
| hd::tl -> if f hd then Some #(x:a{f x}) hd else find f tl
(** Filtering elements of a list [l] through a Boolean pure total
predicate [f] *)
(** [filter f l] returns [l] with all elements [x] such that [f x]
does not hold removed. Requires, at type-checking time, [f] to be a
pure total function. Named as in: OCaml, Coq *)
val filter : #a: Type -> f:(a -> Tot bool) -> l: list a -> Tot (m:list a{forall x. memP x m ==> f x})
let rec filter #a f = function
| [] -> []
| hd::tl -> if f hd then hd::filter f tl else filter f tl
(** Postcondition on [filter f l]: for any element [x] of [filter f l],
[f x] holds. Requires, at type-checking time, [f] to be a pure total
function.*)
val mem_filter (#a:Type) (f: (a -> Tot bool)) (l: list a) (x: a) : Lemma
(requires (memP x (filter f l)))
(ensures (f x))
let mem_filter f l x = ()
(** Postcondition on [filter f l]: stated with [forall]: for any element
[x] of [filter f l], [f x] holds. Requires, at type-checking time, [f]
to be a pure total function. *)
val mem_filter_forall (#a:Type) (f: (a -> Tot bool)) (l: list a) : Lemma
(requires True)
(ensures (forall x . memP x (filter f l) ==> f x))
[SMTPat (filter f l)]
let mem_filter_forall f l = FStar.Classical.ghost_lemma (mem_filter f l)
(** [for_all f l] returns [true] if, and only if, for all elements [x]
appearing in [l], [f x] holds. Requires, at type-checking time, [f] to
be a pure total function. Named as in: OCaml. Similar to: List.forallb
in Coq *)
val for_all: ('a -> Tot bool) -> list 'a -> Tot bool
let rec for_all f l = match l with
| [] -> true
| hd::tl -> if f hd then for_all f tl else false
(** Specification for [for_all f l] vs. mem *)
let rec for_all_mem
(#a: Type)
(f: (a -> Tot bool))
(l: list a)
: Lemma
(for_all f l <==> (forall x . memP x l ==> f x))
= match l with
| [] -> ()
| _ :: q -> for_all_mem f q
(** [collect f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. It is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. TODO: what is
the difference with [concatMap]? *)
val collect: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec collect f l = match l with
| [] -> []
| hd::tl -> append (f hd) (collect f tl)
(** [tryFind f l] returns [Some x] for some element [x] appearing in
[l] such that [f x] holds, or [None] only if no such [x]
exists. Requires, at type-checking time, [f] to be a pure total
function. Contrary to [find], [tryFind] provides no postcondition on
its result. *)
val tryFind: ('a -> Tot bool) -> list 'a -> Tot (option 'a)
let rec tryFind p l = match l with
| [] -> None
| hd::tl -> if p hd then Some hd else tryFind p tl
(** [tryPick f l] returns [y] for some element [x] appearing in [l]
such that [f x = Some y] for some y, or [None] only if [f x = None]
for all elements [x] of [l]. Requires, at type-checking time, [f] to
be a pure total function. *)
val tryPick: ('a -> Tot (option 'b)) -> list 'a -> Tot (option 'b)
let rec tryPick f l = match l with
| [] -> None
| hd::tl ->
match f hd with
| Some x -> Some x
| None -> tryPick f tl
(** [choose f l] returns the list of [y] for all elements [x]
appearing in [l] such that [f x = Some y] for some [y]. Requires, at
type-checking time, [f] to be a pure total function. *)
val choose: ('a -> Tot (option 'b)) -> list 'a -> Tot (list 'b)
let rec choose f l = match l with
| [] -> []
| hd::tl ->
match f hd with
| Some x -> x::(choose f tl)
| None -> choose f tl
(** [partition f l] returns the pair of lists [(l1, l2)] where all
elements [x] of [l] are in [l1] if [f x] holds, and in [l2]
otherwise. Both [l1] and [l2] retain the original order of
[l]. Requires, at type-checking time, [f] to be a pure total
function. *)
val partition: f:('a -> Tot bool) -> list 'a -> Tot (list 'a * list 'a)
let rec partition f = function
| [] -> [], []
| hd::tl ->
let l1, l2 = partition f tl in
if f hd
then hd::l1, l2
else l1, hd::l2
(** [subset la lb] is true if and only if all the elements from [la]
are also in [lb]. Requires, at type-checking time, the type of
elements of [la] and [lb] to have decidable equality. *)
val subset: #a:eqtype -> list a -> list a -> Tot bool
let rec subset #a la lb =
match la with
| [] -> true
| h :: tl -> mem h lb && subset tl lb
(** [noRepeats l] returns [true] if, and only if, no element of [l]
appears in [l] more than once. Requires, at type-checking time, the
type of elements of [la] and [lb] to have decidable equality. *)
val noRepeats : #a:eqtype -> list a -> Tot bool
let rec noRepeats #a la =
match la with
| [] -> true
| h :: tl -> not(mem h tl) && noRepeats tl
(** [no_repeats_p l] valid if, and only if, no element of [l]
appears in [l] more than once. *)
val no_repeats_p : #a:Type -> list a -> Tot prop
let rec no_repeats_p #a la =
match la with
| [] -> True
| h :: tl -> ~(memP h tl) /\ no_repeats_p tl
(** List of tuples **)
(** [assoc x l] returns [Some y] where [(x, y)] is the first element
of [l] whose first element is [x], or [None] only if no such element
exists. Requires, at type-checking time, the type of [x] to have
decidable equality. Named as in: OCaml. *)
val assoc: #a:eqtype -> #b:Type -> a -> list (a * b) -> Tot (option b)
let rec assoc #a #b x = function
| [] -> None
| (x', y)::tl -> if x=x' then Some y else assoc x tl
(** [split] takes a list of pairs [(x1, y1), ..., (xn, yn)] and
returns the pair of lists ([x1, ..., xn], [y1, ..., yn]). Named as in:
OCaml *)
val split: list ('a * 'b) -> Tot (list 'a * list 'b)
let rec split l = match l with
| [] -> ([],[])
| (hd1,hd2)::tl ->
let (tl1,tl2) = split tl in
(hd1::tl1,hd2::tl2)
(** [unzip] takes a list of pairs [(x1, y1), ..., (xn, yn)] and
returns the pair of lists ([x1, ..., xn], [y1, ..., yn]). Named as in:
Haskell *)
let unzip l = split l
(** [unzip3] takes a list of triples [(x1, y1, z1), ..., (xn, yn, zn)]
and returns the triple of lists ([x1, ..., xn], [y1, ..., yn], [z1,
..., zn]). Named as in: Haskell *)
val unzip3: list ('a * 'b * 'c) -> Tot (list 'a * list 'b * list 'c)
let rec unzip3 l = match l with
| [] -> ([],[],[])
| (hd1,hd2,hd3)::tl ->
let (tl1,tl2,tl3) = unzip3 tl in
(hd1::tl1,hd2::tl2,hd3::tl3)
(** Splitting a list at some index **)
(** [splitAt] takes a natural number n and a list and returns a pair
of the maximal prefix of l of size smaller than n and the rest of
the list *)
let rec splitAt (#a:Type) (n:nat) (l:list a) : Tot (list a * list a) =
if n = 0 then [], l
else
match l with
| [] -> [], l
| x :: xs -> let l1, l2 = splitAt (n-1) xs in x :: l1, l2
let rec lemma_splitAt_snd_length (#a:Type) (n:nat) (l:list a) :
Lemma
(requires (n <= length l))
(ensures (length (snd (splitAt n l)) = length l - n)) =
match n, l with
| 0, _ -> ()
| _, [] -> ()
| _, _ :: l' -> lemma_splitAt_snd_length (n - 1) l'
(** [unsnoc] is an inverse of [snoc]. It splits a list into
all-elements-except-last and last element. *)
val unsnoc: #a:Type -> l:list a{length l > 0} -> Tot (list a * a)
let unsnoc #a l =
let l1, l2 = splitAt (length l - 1) l in
lemma_splitAt_snd_length (length l - 1) l;
l1, hd l2
(** [split3] splits a list into 3 parts. This allows easy access to
the part of the list before and after the element, as well as the
element itself. *) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.List.Tot.Base.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"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 | l: Prims.list a -> i: Prims.nat{i < FStar.List.Tot.Base.length l}
-> (Prims.list a * a) * Prims.list a | Prims.Tot | [
"total"
] | [] | [
"Prims.list",
"Prims.nat",
"Prims.b2t",
"Prims.op_LessThan",
"FStar.List.Tot.Base.length",
"FStar.Pervasives.Native.Mktuple3",
"FStar.Pervasives.Native.tuple3",
"Prims.unit",
"FStar.List.Tot.Base.lemma_splitAt_snd_length",
"FStar.Pervasives.Native.tuple2",
"FStar.List.Tot.Base.splitAt"
] | [] | false | false | false | false | false | let split3 #a l i =
| let a, rest = splitAt i l in
lemma_splitAt_snd_length i l;
let b :: c = rest in
a, b, c | false |
FStar.List.Tot.Base.fst | FStar.List.Tot.Base.unzip3 | val unzip3: list ('a * 'b * 'c) -> Tot (list 'a * list 'b * list 'c) | val unzip3: list ('a * 'b * 'c) -> Tot (list 'a * list 'b * list 'c) | let rec unzip3 l = match l with
| [] -> ([],[],[])
| (hd1,hd2,hd3)::tl ->
let (tl1,tl2,tl3) = unzip3 tl in
(hd1::tl1,hd2::tl2,hd3::tl3) | {
"file_name": "ulib/FStar.List.Tot.Base.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 35,
"end_line": 436,
"start_col": 0,
"start_line": 432
} | (*
Copyright 2008-2014 Nikhil Swamy and 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.
*)
(**
This module defines all pure and total operations on lists that can be
used in specifications. It is implemented by FStar_List_Tot_Base.ml, any
functional change and/or the addition of new functions MUST be reflected
there.
@summary Pure total operations on lists
*)
module FStar.List.Tot.Base
(**
Base operations
*)
(** [isEmpty l] returns [true] if and only if [l] is empty *)
val isEmpty: list 'a -> Tot bool
let isEmpty l = match l with
| [] -> true
| _ -> false
(** [hd l] returns the first element of [l]. Requires [l] to be
nonempty, at type-checking time. Named as in: OCaml, F#, Coq *)
val hd: l:list 'a{Cons? l} -> Tot 'a
let hd = function
| hd::_ -> hd
(** [tail l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Similar to: tl in OCaml, F#, Coq
*)
val tail: l:list 'a {Cons? l} -> Tot (list 'a)
let tail = function
| _::tl -> tl
(** [tl l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Named as in: OCaml, F#, Coq
*)
val tl: l:list 'a {Cons? l} -> Tot (list 'a)
let tl = tail
(** [last l] returns the last element of [l]. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val last: l:list 'a {Cons? l} -> Tot 'a
let rec last = function
| [hd] -> hd
| _::tl -> last tl
(** [init l] returns [l] without its last element. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val init: l:list 'a {Cons? l} -> Tot (list 'a)
let rec init = function
| [_] -> []
| hd::tl -> hd::(init tl)
(** [length l] returns the total number of elements in [l]. Named as
in: OCaml, F#, Coq *)
val length: list 'a -> Tot nat
let rec length = function
| [] -> 0
| _::tl -> 1 + length tl
(** [nth l n] returns the [n]-th element in list [l] (with the first
element being the 0-th) if [l] is long enough, or [None]
otherwise. Named as in: OCaml, F#, Coq *)
val nth: list 'a -> nat -> Tot (option 'a)
let rec nth l n = match l with
| [] -> None
| hd::tl -> if n = 0 then Some hd else nth tl (n - 1)
(** [index l n] returns the [n]-th element in list [l] (with the first
element being the 0-th). Requires, at type-checking time, that [l] be
of length at least [n+1]. *)
val index: #a:Type -> l:list a -> i:nat{i < length l} -> Tot a
let rec index #a (l: list a) (i:nat{i < length l}): Tot a =
if i = 0 then
hd l
else
index (tl l) (i - 1)
(** [count x l] returns the number of occurrences of [x] in
[l]. Requires, at type-checking time, the type of [a] to have equality
defined. Similar to: [List.count_occ] in Coq. *)
val count: #a:eqtype -> a -> list a -> Tot nat
let rec count #a x = function
| [] -> 0
| hd::tl -> if x=hd then 1 + count x tl else count x tl
(** [rev_acc l1 l2] appends the elements of [l1] to the beginning of
[l2], in reverse order. It is equivalent to [append (rev l1) l2], but
is tail-recursive. Similar to: [List.rev_append] in OCaml, Coq. *)
val rev_acc: list 'a -> list 'a -> Tot (list 'a)
let rec rev_acc l acc = match l with
| [] -> acc
| hd::tl -> rev_acc tl (hd::acc)
(** [rev l] returns the list [l] in reverse order. Named as in: OCaml,
F#, Coq. *)
val rev: list 'a -> Tot (list 'a)
let rev l = rev_acc l []
(** [append l1 l2] appends the elements of [l2] to the end of [l1]. Named as: OCaml, F#. Similar to: [List.app] in Coq. *)
val append: list 'a -> list 'a -> Tot (list 'a)
let rec append x y = match x with
| [] -> y
| a::tl -> a::append tl y
(** Defines notation [@@] for [append], as in OCaml, F# . *)
let op_At x y = append x y
(** [snoc (l, x)] adds [x] to the end of the list [l].
Note: We use an uncurried [snoc (l, x)] instead of the curried
[snoc l x]. This is intentional. If [snoc] takes a pair instead
of 2 arguments, it allows for a better pattern on
[lemma_unsnoc_snoc], which connects [snoc] and [unsnoc]. In
particular, if we had two arguments, then either the pattern would
either be too restrictive or would lead to over-triggering. More
context for this can be seen in the (collapsed and uncollapsed)
comments at https://github.com/FStarLang/FStar/pull/1560 *)
val snoc: (list 'a * 'a) -> Tot (list 'a)
let snoc (l, x) = append l [x]
(** [flatten l], where [l] is a list of lists, returns the list of the
elements of the lists in [l], preserving their order. Named as in:
OCaml, Coq. *)
val flatten: list (list 'a) -> Tot (list 'a)
let rec flatten l = match l with
| [] -> []
| hd::tl -> append hd (flatten tl)
(** [map f l] applies [f] to each element of [l] and returns the list
of results, in the order of the original elements in [l]. Requires, at
type-checking time, [f] to be a pure total function. Named as in: OCaml, Coq, F# *)
val map: ('a -> Tot 'b) -> list 'a -> Tot (list 'b)
let rec map f x = match x with
| [] -> []
| a::tl -> f a::map f tl
(** [mapi_init f l n] applies, for each [k], [f (n+k)] to the [k]-th
element of [l] and returns the list of results, in the order of the
original elements in [l]. Requires, at type-checking time, [f] to be a
pure total function. *)
val mapi_init: (int -> 'a -> Tot 'b) -> list 'a -> int -> Tot (list 'b)
let rec mapi_init f l i = match l with
| [] -> []
| hd::tl -> (f i hd)::(mapi_init f tl (i+1))
(** [mapi f l] applies, for each [k], [f k] to the [k]-th element of
[l] and returns the list of results, in the order of the original
elements in [l]. Requires, at type-checking time, [f] to be a pure
total function. Named as in: OCaml *)
val mapi: (int -> 'a -> Tot 'b) -> list 'a -> Tot (list 'b)
let mapi f l = mapi_init f l 0
(** [concatMap f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. This is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. *)
val concatMap: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec concatMap f = function
| [] -> []
| a::tl ->
let fa = f a in
let ftl = concatMap f tl in
append fa ftl
(** [fold_left f x [y1; y2; ...; yn]] computes (f (... (f x y1) y2)
... yn). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq. *)
val fold_left: ('a -> 'b -> Tot 'a) -> 'a -> l:list 'b -> Tot 'a (decreases l)
let rec fold_left f x l = match l with
| [] -> x
| hd::tl -> fold_left f (f x hd) tl
(** [fold_right f [x1; x2; ...; xn] y] computes (f x1 (f x2 (... (f xn
y)) ... )). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq *)
val fold_right: ('a -> 'b -> Tot 'b) -> list 'a -> 'b -> Tot 'b
let rec fold_right f l x = match l with
| [] -> x
| hd::tl -> f hd (fold_right f tl x)
(** [fold_right_gtot] is just like [fold_right], except `f` is
a ghost function **)
let rec fold_right_gtot (#a:Type) (#b:Type) (l:list a) (f:a -> b -> GTot b) (x:b)
: GTot b
= match l with
| [] -> x
| hd::tl -> f hd (fold_right_gtot tl f x)
(* We define map in terms of fold, to share simple lemmas *)
let map_gtot #a #b (f:a -> GTot b) (x:list a)
: GTot (list b)
= fold_right_gtot x (fun x tl -> f x :: tl) []
(** [fold_left2 f x [y1; y2; ...; yn] [z1; z2; ...; zn]] computes (f
(... (f x y1 z1) y2 z2) ... yn zn). Requires, at type-checking time,
[f] to be a pure total function, and the lists [y1; y2; ...; yn] and
[z1; z2; ...; zn] to have the same lengths. Named as in: OCaml *)
val fold_left2 : f:('a -> 'b -> 'c -> Tot 'a) -> accu:'a -> l1:(list 'b) -> l2:(list 'c) ->
Pure 'a (requires (length l1 == length l2)) (ensures (fun _ -> True)) (decreases l1)
let rec fold_left2 f accu l1 l2 =
match (l1, l2) with
| ([], []) -> accu
| (a1::l1, a2::l2) -> fold_left2 f (f accu a1 a2) l1 l2
(** Propositional membership (as in Coq). Does not require decidable
equality. *)
(** [memP x l] holds if, and only if, [x] appears as an
element of [l]. Similar to: List.In in Coq. *)
let rec memP (#a: Type) (x: a) (l: list a) : Tot Type0 =
match l with
| [] -> False
| y :: q -> x == y \/ memP x q
(** List searching **)
(** [mem x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. Named as in: OCaml. See also:
List.In in Coq, which is propositional. *)
val mem: #a:eqtype -> a -> list a -> Tot bool
let rec mem #a x = function
| [] -> false
| hd::tl -> if hd = x then true else mem x tl
(** [contains x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. It is equivalent to: [mem x
l]. TODO: should we rather swap the order of arguments? *)
let contains : #a:eqtype -> a -> list a -> Tot bool = mem
(** [existsb f l] returns [true] if, and only if, there exists some
element [x] in [l] such that [f x] holds. *)
val existsb: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot bool
let rec existsb #a f l = match l with
| [] -> false
| hd::tl -> if f hd then true else existsb f tl
(** [find f l] returns [Some x] for some element [x] appearing in [l]
such that [f x] holds, or [None] only if no such [x] exists. *)
val find: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot (option (x:a{f x}))
let rec find #a f l = match l with
| [] -> None #(x:a{f x}) //These type annotations are only present because it makes bootstrapping go much faster
| hd::tl -> if f hd then Some #(x:a{f x}) hd else find f tl
(** Filtering elements of a list [l] through a Boolean pure total
predicate [f] *)
(** [filter f l] returns [l] with all elements [x] such that [f x]
does not hold removed. Requires, at type-checking time, [f] to be a
pure total function. Named as in: OCaml, Coq *)
val filter : #a: Type -> f:(a -> Tot bool) -> l: list a -> Tot (m:list a{forall x. memP x m ==> f x})
let rec filter #a f = function
| [] -> []
| hd::tl -> if f hd then hd::filter f tl else filter f tl
(** Postcondition on [filter f l]: for any element [x] of [filter f l],
[f x] holds. Requires, at type-checking time, [f] to be a pure total
function.*)
val mem_filter (#a:Type) (f: (a -> Tot bool)) (l: list a) (x: a) : Lemma
(requires (memP x (filter f l)))
(ensures (f x))
let mem_filter f l x = ()
(** Postcondition on [filter f l]: stated with [forall]: for any element
[x] of [filter f l], [f x] holds. Requires, at type-checking time, [f]
to be a pure total function. *)
val mem_filter_forall (#a:Type) (f: (a -> Tot bool)) (l: list a) : Lemma
(requires True)
(ensures (forall x . memP x (filter f l) ==> f x))
[SMTPat (filter f l)]
let mem_filter_forall f l = FStar.Classical.ghost_lemma (mem_filter f l)
(** [for_all f l] returns [true] if, and only if, for all elements [x]
appearing in [l], [f x] holds. Requires, at type-checking time, [f] to
be a pure total function. Named as in: OCaml. Similar to: List.forallb
in Coq *)
val for_all: ('a -> Tot bool) -> list 'a -> Tot bool
let rec for_all f l = match l with
| [] -> true
| hd::tl -> if f hd then for_all f tl else false
(** Specification for [for_all f l] vs. mem *)
let rec for_all_mem
(#a: Type)
(f: (a -> Tot bool))
(l: list a)
: Lemma
(for_all f l <==> (forall x . memP x l ==> f x))
= match l with
| [] -> ()
| _ :: q -> for_all_mem f q
(** [collect f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. It is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. TODO: what is
the difference with [concatMap]? *)
val collect: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec collect f l = match l with
| [] -> []
| hd::tl -> append (f hd) (collect f tl)
(** [tryFind f l] returns [Some x] for some element [x] appearing in
[l] such that [f x] holds, or [None] only if no such [x]
exists. Requires, at type-checking time, [f] to be a pure total
function. Contrary to [find], [tryFind] provides no postcondition on
its result. *)
val tryFind: ('a -> Tot bool) -> list 'a -> Tot (option 'a)
let rec tryFind p l = match l with
| [] -> None
| hd::tl -> if p hd then Some hd else tryFind p tl
(** [tryPick f l] returns [y] for some element [x] appearing in [l]
such that [f x = Some y] for some y, or [None] only if [f x = None]
for all elements [x] of [l]. Requires, at type-checking time, [f] to
be a pure total function. *)
val tryPick: ('a -> Tot (option 'b)) -> list 'a -> Tot (option 'b)
let rec tryPick f l = match l with
| [] -> None
| hd::tl ->
match f hd with
| Some x -> Some x
| None -> tryPick f tl
(** [choose f l] returns the list of [y] for all elements [x]
appearing in [l] such that [f x = Some y] for some [y]. Requires, at
type-checking time, [f] to be a pure total function. *)
val choose: ('a -> Tot (option 'b)) -> list 'a -> Tot (list 'b)
let rec choose f l = match l with
| [] -> []
| hd::tl ->
match f hd with
| Some x -> x::(choose f tl)
| None -> choose f tl
(** [partition f l] returns the pair of lists [(l1, l2)] where all
elements [x] of [l] are in [l1] if [f x] holds, and in [l2]
otherwise. Both [l1] and [l2] retain the original order of
[l]. Requires, at type-checking time, [f] to be a pure total
function. *)
val partition: f:('a -> Tot bool) -> list 'a -> Tot (list 'a * list 'a)
let rec partition f = function
| [] -> [], []
| hd::tl ->
let l1, l2 = partition f tl in
if f hd
then hd::l1, l2
else l1, hd::l2
(** [subset la lb] is true if and only if all the elements from [la]
are also in [lb]. Requires, at type-checking time, the type of
elements of [la] and [lb] to have decidable equality. *)
val subset: #a:eqtype -> list a -> list a -> Tot bool
let rec subset #a la lb =
match la with
| [] -> true
| h :: tl -> mem h lb && subset tl lb
(** [noRepeats l] returns [true] if, and only if, no element of [l]
appears in [l] more than once. Requires, at type-checking time, the
type of elements of [la] and [lb] to have decidable equality. *)
val noRepeats : #a:eqtype -> list a -> Tot bool
let rec noRepeats #a la =
match la with
| [] -> true
| h :: tl -> not(mem h tl) && noRepeats tl
(** [no_repeats_p l] valid if, and only if, no element of [l]
appears in [l] more than once. *)
val no_repeats_p : #a:Type -> list a -> Tot prop
let rec no_repeats_p #a la =
match la with
| [] -> True
| h :: tl -> ~(memP h tl) /\ no_repeats_p tl
(** List of tuples **)
(** [assoc x l] returns [Some y] where [(x, y)] is the first element
of [l] whose first element is [x], or [None] only if no such element
exists. Requires, at type-checking time, the type of [x] to have
decidable equality. Named as in: OCaml. *)
val assoc: #a:eqtype -> #b:Type -> a -> list (a * b) -> Tot (option b)
let rec assoc #a #b x = function
| [] -> None
| (x', y)::tl -> if x=x' then Some y else assoc x tl
(** [split] takes a list of pairs [(x1, y1), ..., (xn, yn)] and
returns the pair of lists ([x1, ..., xn], [y1, ..., yn]). Named as in:
OCaml *)
val split: list ('a * 'b) -> Tot (list 'a * list 'b)
let rec split l = match l with
| [] -> ([],[])
| (hd1,hd2)::tl ->
let (tl1,tl2) = split tl in
(hd1::tl1,hd2::tl2)
(** [unzip] takes a list of pairs [(x1, y1), ..., (xn, yn)] and
returns the pair of lists ([x1, ..., xn], [y1, ..., yn]). Named as in:
Haskell *)
let unzip l = split l
(** [unzip3] takes a list of triples [(x1, y1, z1), ..., (xn, yn, zn)]
and returns the triple of lists ([x1, ..., xn], [y1, ..., yn], [z1,
..., zn]). Named as in: Haskell *) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.List.Tot.Base.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"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 | l: Prims.list (('a * 'b) * 'c) -> (Prims.list 'a * Prims.list 'b) * Prims.list 'c | Prims.Tot | [
"total"
] | [] | [
"Prims.list",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.Mktuple3",
"Prims.Nil",
"Prims.Cons",
"FStar.List.Tot.Base.unzip3"
] | [
"recursion"
] | false | false | false | true | false | let rec unzip3 l =
| match l with
| [] -> ([], [], [])
| (hd1, hd2, hd3) :: tl ->
let tl1, tl2, tl3 = unzip3 tl in
(hd1 :: tl1, hd2 :: tl2, hd3 :: tl3) | false |
Vale.X64.InsAes.fst | Vale.X64.InsAes.va_code_AESNI_enc_last | val va_code_AESNI_enc_last : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code | val va_code_AESNI_enc_last : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code | let va_code_AESNI_enc_last dst src =
(mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src))) | {
"file_name": "obj/Vale.X64.InsAes.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 68,
"end_line": 151,
"start_col": 0,
"start_line": 150
} | module Vale.X64.InsAes
open Vale.Def.Types_s
open Vale.X64.Machine_s
open Vale.X64
open Vale.X64.State
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.Decls
open Vale.X64.CPU_Features_s
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
module P = Vale.X64.Print_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 4 --max_fuel 4 --z3rlimit 20"
//-- Pclmulqdq
[@ "opaque_to_smt"]
let va_code_Pclmulqdq dst src dstHi srcHi =
(mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16 else 0)))
(OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_Pclmulqdq dst src dstHi srcHi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Pclmulqdq va_b0 va_s0 dst src dstHi srcHi =
va_reveal_opaque (`%va_code_Pclmulqdq) (va_code_Pclmulqdq dst src dstHi srcHi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16
else 0))) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) +
(if srcHi then 16 else 0))) (OReg dst) (OReg src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Pclmulqdq dst src dstHi srcHi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Pclmulqdq (va_code_Pclmulqdq dst src dstHi srcHi) va_s0 dst src
dstHi srcHi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VPclmulqdq
[@ "opaque_to_smt"]
let va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then 16 else 0)))
(OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VPclmulqdq va_b0 va_s0 dst src1 src2 src1Hi src2Hi =
va_reveal_opaque (`%va_code_VPclmulqdq) (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then
16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0)
+ (if src2Hi then 16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VPclmulqdq dst src1 src2 src1Hi src2Hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VPclmulqdq (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi) va_s0
dst src1 src2 src1Hi src2Hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc
[@ "opaque_to_smt"]
let va_code_AESNI_enc dst src =
(mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc) (va_code_AESNI_enc dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc (va_code_AESNI_enc dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc
[@ "opaque_to_smt"]
let va_code_VAESNI_enc dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc) (va_code_VAESNI_enc dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1)
(OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc (va_code_VAESNI_enc dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc_last | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.State.fsti.checked",
"Vale.X64.Print_s.fst.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.AES.AES_s.fst.checked",
"Vale.AES.AES_common_s.fst.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsAes.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Print_s",
"short_module": "P"
},
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"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.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"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": 4,
"initial_ifuel": 0,
"max_fuel": 4,
"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 | dst: Vale.X64.Decls.va_operand_xmm -> src: Vale.X64.Decls.va_operand_xmm -> Vale.X64.Decls.va_code | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.Decls.va_operand_xmm",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.inOut",
"Vale.X64.Instruction_s.opXmm",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_AESNI_enc_last",
"Vale.X64.Machine_s.OReg",
"Vale.X64.Machine_s.quad32",
"Vale.X64.Machine_s.reg_xmm",
"Vale.X64.Decls.va_code"
] | [] | false | false | false | true | false | let va_code_AESNI_enc_last dst src =
| (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src))) | false |
FStar.List.Tot.Base.fst | FStar.List.Tot.Base.list_unref | val list_unref : #a:Type -> #p:(a -> Type0) -> list (x:a{p x}) -> Tot (list a) | val list_unref : #a:Type -> #p:(a -> Type0) -> list (x:a{p x}) -> Tot (list a) | let rec list_unref #a #p l =
match l with
| [] -> []
| x::xs -> x :: list_unref xs | {
"file_name": "ulib/FStar.List.Tot.Base.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 33,
"end_line": 547,
"start_col": 0,
"start_line": 544
} | (*
Copyright 2008-2014 Nikhil Swamy and 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.
*)
(**
This module defines all pure and total operations on lists that can be
used in specifications. It is implemented by FStar_List_Tot_Base.ml, any
functional change and/or the addition of new functions MUST be reflected
there.
@summary Pure total operations on lists
*)
module FStar.List.Tot.Base
(**
Base operations
*)
(** [isEmpty l] returns [true] if and only if [l] is empty *)
val isEmpty: list 'a -> Tot bool
let isEmpty l = match l with
| [] -> true
| _ -> false
(** [hd l] returns the first element of [l]. Requires [l] to be
nonempty, at type-checking time. Named as in: OCaml, F#, Coq *)
val hd: l:list 'a{Cons? l} -> Tot 'a
let hd = function
| hd::_ -> hd
(** [tail l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Similar to: tl in OCaml, F#, Coq
*)
val tail: l:list 'a {Cons? l} -> Tot (list 'a)
let tail = function
| _::tl -> tl
(** [tl l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Named as in: OCaml, F#, Coq
*)
val tl: l:list 'a {Cons? l} -> Tot (list 'a)
let tl = tail
(** [last l] returns the last element of [l]. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val last: l:list 'a {Cons? l} -> Tot 'a
let rec last = function
| [hd] -> hd
| _::tl -> last tl
(** [init l] returns [l] without its last element. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val init: l:list 'a {Cons? l} -> Tot (list 'a)
let rec init = function
| [_] -> []
| hd::tl -> hd::(init tl)
(** [length l] returns the total number of elements in [l]. Named as
in: OCaml, F#, Coq *)
val length: list 'a -> Tot nat
let rec length = function
| [] -> 0
| _::tl -> 1 + length tl
(** [nth l n] returns the [n]-th element in list [l] (with the first
element being the 0-th) if [l] is long enough, or [None]
otherwise. Named as in: OCaml, F#, Coq *)
val nth: list 'a -> nat -> Tot (option 'a)
let rec nth l n = match l with
| [] -> None
| hd::tl -> if n = 0 then Some hd else nth tl (n - 1)
(** [index l n] returns the [n]-th element in list [l] (with the first
element being the 0-th). Requires, at type-checking time, that [l] be
of length at least [n+1]. *)
val index: #a:Type -> l:list a -> i:nat{i < length l} -> Tot a
let rec index #a (l: list a) (i:nat{i < length l}): Tot a =
if i = 0 then
hd l
else
index (tl l) (i - 1)
(** [count x l] returns the number of occurrences of [x] in
[l]. Requires, at type-checking time, the type of [a] to have equality
defined. Similar to: [List.count_occ] in Coq. *)
val count: #a:eqtype -> a -> list a -> Tot nat
let rec count #a x = function
| [] -> 0
| hd::tl -> if x=hd then 1 + count x tl else count x tl
(** [rev_acc l1 l2] appends the elements of [l1] to the beginning of
[l2], in reverse order. It is equivalent to [append (rev l1) l2], but
is tail-recursive. Similar to: [List.rev_append] in OCaml, Coq. *)
val rev_acc: list 'a -> list 'a -> Tot (list 'a)
let rec rev_acc l acc = match l with
| [] -> acc
| hd::tl -> rev_acc tl (hd::acc)
(** [rev l] returns the list [l] in reverse order. Named as in: OCaml,
F#, Coq. *)
val rev: list 'a -> Tot (list 'a)
let rev l = rev_acc l []
(** [append l1 l2] appends the elements of [l2] to the end of [l1]. Named as: OCaml, F#. Similar to: [List.app] in Coq. *)
val append: list 'a -> list 'a -> Tot (list 'a)
let rec append x y = match x with
| [] -> y
| a::tl -> a::append tl y
(** Defines notation [@@] for [append], as in OCaml, F# . *)
let op_At x y = append x y
(** [snoc (l, x)] adds [x] to the end of the list [l].
Note: We use an uncurried [snoc (l, x)] instead of the curried
[snoc l x]. This is intentional. If [snoc] takes a pair instead
of 2 arguments, it allows for a better pattern on
[lemma_unsnoc_snoc], which connects [snoc] and [unsnoc]. In
particular, if we had two arguments, then either the pattern would
either be too restrictive or would lead to over-triggering. More
context for this can be seen in the (collapsed and uncollapsed)
comments at https://github.com/FStarLang/FStar/pull/1560 *)
val snoc: (list 'a * 'a) -> Tot (list 'a)
let snoc (l, x) = append l [x]
(** [flatten l], where [l] is a list of lists, returns the list of the
elements of the lists in [l], preserving their order. Named as in:
OCaml, Coq. *)
val flatten: list (list 'a) -> Tot (list 'a)
let rec flatten l = match l with
| [] -> []
| hd::tl -> append hd (flatten tl)
(** [map f l] applies [f] to each element of [l] and returns the list
of results, in the order of the original elements in [l]. Requires, at
type-checking time, [f] to be a pure total function. Named as in: OCaml, Coq, F# *)
val map: ('a -> Tot 'b) -> list 'a -> Tot (list 'b)
let rec map f x = match x with
| [] -> []
| a::tl -> f a::map f tl
(** [mapi_init f l n] applies, for each [k], [f (n+k)] to the [k]-th
element of [l] and returns the list of results, in the order of the
original elements in [l]. Requires, at type-checking time, [f] to be a
pure total function. *)
val mapi_init: (int -> 'a -> Tot 'b) -> list 'a -> int -> Tot (list 'b)
let rec mapi_init f l i = match l with
| [] -> []
| hd::tl -> (f i hd)::(mapi_init f tl (i+1))
(** [mapi f l] applies, for each [k], [f k] to the [k]-th element of
[l] and returns the list of results, in the order of the original
elements in [l]. Requires, at type-checking time, [f] to be a pure
total function. Named as in: OCaml *)
val mapi: (int -> 'a -> Tot 'b) -> list 'a -> Tot (list 'b)
let mapi f l = mapi_init f l 0
(** [concatMap f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. This is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. *)
val concatMap: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec concatMap f = function
| [] -> []
| a::tl ->
let fa = f a in
let ftl = concatMap f tl in
append fa ftl
(** [fold_left f x [y1; y2; ...; yn]] computes (f (... (f x y1) y2)
... yn). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq. *)
val fold_left: ('a -> 'b -> Tot 'a) -> 'a -> l:list 'b -> Tot 'a (decreases l)
let rec fold_left f x l = match l with
| [] -> x
| hd::tl -> fold_left f (f x hd) tl
(** [fold_right f [x1; x2; ...; xn] y] computes (f x1 (f x2 (... (f xn
y)) ... )). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq *)
val fold_right: ('a -> 'b -> Tot 'b) -> list 'a -> 'b -> Tot 'b
let rec fold_right f l x = match l with
| [] -> x
| hd::tl -> f hd (fold_right f tl x)
(** [fold_right_gtot] is just like [fold_right], except `f` is
a ghost function **)
let rec fold_right_gtot (#a:Type) (#b:Type) (l:list a) (f:a -> b -> GTot b) (x:b)
: GTot b
= match l with
| [] -> x
| hd::tl -> f hd (fold_right_gtot tl f x)
(* We define map in terms of fold, to share simple lemmas *)
let map_gtot #a #b (f:a -> GTot b) (x:list a)
: GTot (list b)
= fold_right_gtot x (fun x tl -> f x :: tl) []
(** [fold_left2 f x [y1; y2; ...; yn] [z1; z2; ...; zn]] computes (f
(... (f x y1 z1) y2 z2) ... yn zn). Requires, at type-checking time,
[f] to be a pure total function, and the lists [y1; y2; ...; yn] and
[z1; z2; ...; zn] to have the same lengths. Named as in: OCaml *)
val fold_left2 : f:('a -> 'b -> 'c -> Tot 'a) -> accu:'a -> l1:(list 'b) -> l2:(list 'c) ->
Pure 'a (requires (length l1 == length l2)) (ensures (fun _ -> True)) (decreases l1)
let rec fold_left2 f accu l1 l2 =
match (l1, l2) with
| ([], []) -> accu
| (a1::l1, a2::l2) -> fold_left2 f (f accu a1 a2) l1 l2
(** Propositional membership (as in Coq). Does not require decidable
equality. *)
(** [memP x l] holds if, and only if, [x] appears as an
element of [l]. Similar to: List.In in Coq. *)
let rec memP (#a: Type) (x: a) (l: list a) : Tot Type0 =
match l with
| [] -> False
| y :: q -> x == y \/ memP x q
(** List searching **)
(** [mem x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. Named as in: OCaml. See also:
List.In in Coq, which is propositional. *)
val mem: #a:eqtype -> a -> list a -> Tot bool
let rec mem #a x = function
| [] -> false
| hd::tl -> if hd = x then true else mem x tl
(** [contains x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. It is equivalent to: [mem x
l]. TODO: should we rather swap the order of arguments? *)
let contains : #a:eqtype -> a -> list a -> Tot bool = mem
(** [existsb f l] returns [true] if, and only if, there exists some
element [x] in [l] such that [f x] holds. *)
val existsb: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot bool
let rec existsb #a f l = match l with
| [] -> false
| hd::tl -> if f hd then true else existsb f tl
(** [find f l] returns [Some x] for some element [x] appearing in [l]
such that [f x] holds, or [None] only if no such [x] exists. *)
val find: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot (option (x:a{f x}))
let rec find #a f l = match l with
| [] -> None #(x:a{f x}) //These type annotations are only present because it makes bootstrapping go much faster
| hd::tl -> if f hd then Some #(x:a{f x}) hd else find f tl
(** Filtering elements of a list [l] through a Boolean pure total
predicate [f] *)
(** [filter f l] returns [l] with all elements [x] such that [f x]
does not hold removed. Requires, at type-checking time, [f] to be a
pure total function. Named as in: OCaml, Coq *)
val filter : #a: Type -> f:(a -> Tot bool) -> l: list a -> Tot (m:list a{forall x. memP x m ==> f x})
let rec filter #a f = function
| [] -> []
| hd::tl -> if f hd then hd::filter f tl else filter f tl
(** Postcondition on [filter f l]: for any element [x] of [filter f l],
[f x] holds. Requires, at type-checking time, [f] to be a pure total
function.*)
val mem_filter (#a:Type) (f: (a -> Tot bool)) (l: list a) (x: a) : Lemma
(requires (memP x (filter f l)))
(ensures (f x))
let mem_filter f l x = ()
(** Postcondition on [filter f l]: stated with [forall]: for any element
[x] of [filter f l], [f x] holds. Requires, at type-checking time, [f]
to be a pure total function. *)
val mem_filter_forall (#a:Type) (f: (a -> Tot bool)) (l: list a) : Lemma
(requires True)
(ensures (forall x . memP x (filter f l) ==> f x))
[SMTPat (filter f l)]
let mem_filter_forall f l = FStar.Classical.ghost_lemma (mem_filter f l)
(** [for_all f l] returns [true] if, and only if, for all elements [x]
appearing in [l], [f x] holds. Requires, at type-checking time, [f] to
be a pure total function. Named as in: OCaml. Similar to: List.forallb
in Coq *)
val for_all: ('a -> Tot bool) -> list 'a -> Tot bool
let rec for_all f l = match l with
| [] -> true
| hd::tl -> if f hd then for_all f tl else false
(** Specification for [for_all f l] vs. mem *)
let rec for_all_mem
(#a: Type)
(f: (a -> Tot bool))
(l: list a)
: Lemma
(for_all f l <==> (forall x . memP x l ==> f x))
= match l with
| [] -> ()
| _ :: q -> for_all_mem f q
(** [collect f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. It is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. TODO: what is
the difference with [concatMap]? *)
val collect: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec collect f l = match l with
| [] -> []
| hd::tl -> append (f hd) (collect f tl)
(** [tryFind f l] returns [Some x] for some element [x] appearing in
[l] such that [f x] holds, or [None] only if no such [x]
exists. Requires, at type-checking time, [f] to be a pure total
function. Contrary to [find], [tryFind] provides no postcondition on
its result. *)
val tryFind: ('a -> Tot bool) -> list 'a -> Tot (option 'a)
let rec tryFind p l = match l with
| [] -> None
| hd::tl -> if p hd then Some hd else tryFind p tl
(** [tryPick f l] returns [y] for some element [x] appearing in [l]
such that [f x = Some y] for some y, or [None] only if [f x = None]
for all elements [x] of [l]. Requires, at type-checking time, [f] to
be a pure total function. *)
val tryPick: ('a -> Tot (option 'b)) -> list 'a -> Tot (option 'b)
let rec tryPick f l = match l with
| [] -> None
| hd::tl ->
match f hd with
| Some x -> Some x
| None -> tryPick f tl
(** [choose f l] returns the list of [y] for all elements [x]
appearing in [l] such that [f x = Some y] for some [y]. Requires, at
type-checking time, [f] to be a pure total function. *)
val choose: ('a -> Tot (option 'b)) -> list 'a -> Tot (list 'b)
let rec choose f l = match l with
| [] -> []
| hd::tl ->
match f hd with
| Some x -> x::(choose f tl)
| None -> choose f tl
(** [partition f l] returns the pair of lists [(l1, l2)] where all
elements [x] of [l] are in [l1] if [f x] holds, and in [l2]
otherwise. Both [l1] and [l2] retain the original order of
[l]. Requires, at type-checking time, [f] to be a pure total
function. *)
val partition: f:('a -> Tot bool) -> list 'a -> Tot (list 'a * list 'a)
let rec partition f = function
| [] -> [], []
| hd::tl ->
let l1, l2 = partition f tl in
if f hd
then hd::l1, l2
else l1, hd::l2
(** [subset la lb] is true if and only if all the elements from [la]
are also in [lb]. Requires, at type-checking time, the type of
elements of [la] and [lb] to have decidable equality. *)
val subset: #a:eqtype -> list a -> list a -> Tot bool
let rec subset #a la lb =
match la with
| [] -> true
| h :: tl -> mem h lb && subset tl lb
(** [noRepeats l] returns [true] if, and only if, no element of [l]
appears in [l] more than once. Requires, at type-checking time, the
type of elements of [la] and [lb] to have decidable equality. *)
val noRepeats : #a:eqtype -> list a -> Tot bool
let rec noRepeats #a la =
match la with
| [] -> true
| h :: tl -> not(mem h tl) && noRepeats tl
(** [no_repeats_p l] valid if, and only if, no element of [l]
appears in [l] more than once. *)
val no_repeats_p : #a:Type -> list a -> Tot prop
let rec no_repeats_p #a la =
match la with
| [] -> True
| h :: tl -> ~(memP h tl) /\ no_repeats_p tl
(** List of tuples **)
(** [assoc x l] returns [Some y] where [(x, y)] is the first element
of [l] whose first element is [x], or [None] only if no such element
exists. Requires, at type-checking time, the type of [x] to have
decidable equality. Named as in: OCaml. *)
val assoc: #a:eqtype -> #b:Type -> a -> list (a * b) -> Tot (option b)
let rec assoc #a #b x = function
| [] -> None
| (x', y)::tl -> if x=x' then Some y else assoc x tl
(** [split] takes a list of pairs [(x1, y1), ..., (xn, yn)] and
returns the pair of lists ([x1, ..., xn], [y1, ..., yn]). Named as in:
OCaml *)
val split: list ('a * 'b) -> Tot (list 'a * list 'b)
let rec split l = match l with
| [] -> ([],[])
| (hd1,hd2)::tl ->
let (tl1,tl2) = split tl in
(hd1::tl1,hd2::tl2)
(** [unzip] takes a list of pairs [(x1, y1), ..., (xn, yn)] and
returns the pair of lists ([x1, ..., xn], [y1, ..., yn]). Named as in:
Haskell *)
let unzip l = split l
(** [unzip3] takes a list of triples [(x1, y1, z1), ..., (xn, yn, zn)]
and returns the triple of lists ([x1, ..., xn], [y1, ..., yn], [z1,
..., zn]). Named as in: Haskell *)
val unzip3: list ('a * 'b * 'c) -> Tot (list 'a * list 'b * list 'c)
let rec unzip3 l = match l with
| [] -> ([],[],[])
| (hd1,hd2,hd3)::tl ->
let (tl1,tl2,tl3) = unzip3 tl in
(hd1::tl1,hd2::tl2,hd3::tl3)
(** Splitting a list at some index **)
(** [splitAt] takes a natural number n and a list and returns a pair
of the maximal prefix of l of size smaller than n and the rest of
the list *)
let rec splitAt (#a:Type) (n:nat) (l:list a) : Tot (list a * list a) =
if n = 0 then [], l
else
match l with
| [] -> [], l
| x :: xs -> let l1, l2 = splitAt (n-1) xs in x :: l1, l2
let rec lemma_splitAt_snd_length (#a:Type) (n:nat) (l:list a) :
Lemma
(requires (n <= length l))
(ensures (length (snd (splitAt n l)) = length l - n)) =
match n, l with
| 0, _ -> ()
| _, [] -> ()
| _, _ :: l' -> lemma_splitAt_snd_length (n - 1) l'
(** [unsnoc] is an inverse of [snoc]. It splits a list into
all-elements-except-last and last element. *)
val unsnoc: #a:Type -> l:list a{length l > 0} -> Tot (list a * a)
let unsnoc #a l =
let l1, l2 = splitAt (length l - 1) l in
lemma_splitAt_snd_length (length l - 1) l;
l1, hd l2
(** [split3] splits a list into 3 parts. This allows easy access to
the part of the list before and after the element, as well as the
element itself. *)
val split3: #a:Type -> l:list a -> i:nat{i < length l} -> Tot (list a * a * list a)
let split3 #a l i =
let a, rest = splitAt i l in
lemma_splitAt_snd_length i l;
let b :: c = rest in
a, b, c
(** Sorting (implemented as quicksort) **)
(** [partition] splits a list [l] into two lists, the sum of whose
lengths is the length of [l]. *)
val partition_length: f:('a -> Tot bool)
-> l:list 'a
-> Lemma (requires True)
(ensures (length (fst (partition f l))
+ length (snd (partition f l)) = length l))
let rec partition_length f l = match l with
| [] -> ()
| hd::tl -> partition_length f tl
(** [bool_of_compare] turns a comparison function into a strict
order. More precisely, [bool_of_compare compare x y] returns true
if, and only if, [compare x y] is negative, meaning [x] precedes
[y] in the ordering defined by compare.
This is used in sorting, and is defined to be consistent with
OCaml and F#, where sorting is performed in ascending order.
*)
val bool_of_compare : #a:Type -> (a -> a -> Tot int) -> a -> a -> Tot bool
let bool_of_compare #a f x y = f x y < 0
(** [compare_of_bool] turns a strict order into a comparison
function. More precisely, [compare_of_bool rel x y] returns a positive
number if, and only if, x `rel` y holds. Inspired from OCaml, where
polymorphic comparison using both the [compare] function and the (>)
infix operator are such that [compare x y] is positive if, and only
if, x > y. Requires, at type-checking time, [rel] to be a pure total
function. *)
val compare_of_bool : #a:eqtype -> (a -> a -> Tot bool) -> a -> a -> Tot int
let compare_of_bool #a rel x y =
if x `rel` y then -1
else if x = y then 0
else 1
let compare_of_bool_of_compare (#a:eqtype) (f:a -> a -> Tot bool)
: Lemma (forall x y. bool_of_compare (compare_of_bool f) x y == f x y)
= ()
(** [sortWith compare l] returns the list [l'] containing the elements
of [l] sorted along the comparison function [compare], in such a
way that if [compare x y > 0], then [x] appears before [y] in
[l']. Sorts in ascending order *)
val sortWith: ('a -> 'a -> Tot int) -> l:list 'a -> Tot (list 'a) (decreases (length l))
let rec sortWith f = function
| [] -> []
| pivot::tl ->
let hi, lo = partition (bool_of_compare f pivot) tl in
partition_length (bool_of_compare f pivot) tl;
append (sortWith f lo) (pivot::sortWith f hi)
(** A l1 is a strict suffix of l2. *)
let rec strict_suffix_of (#a: Type) (l1 l2: list a)
: Pure Type0
(requires True)
(ensures (fun _ -> True))
(decreases l2)
= match l2 with
| [] -> False
| _ :: q -> l1 == q \/ l1 `strict_suffix_of` q
[@@deprecated "This function was misnamed: Please use 'strict_suffix_of'"]
let strict_prefix_of = strict_suffix_of | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.List.Tot.Base.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"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 | l: Prims.list (x: a{p x}) -> Prims.list a | Prims.Tot | [
"total"
] | [] | [
"Prims.list",
"Prims.Nil",
"Prims.Cons",
"FStar.List.Tot.Base.list_unref"
] | [
"recursion"
] | false | false | false | false | false | let rec list_unref #a #p l =
| match l with
| [] -> []
| x :: xs -> x :: list_unref xs | false |
Vale.X64.InsAes.fst | Vale.X64.InsAes.va_wpProof_AESNI_enc_last | val va_wpProof_AESNI_enc_last : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_enc_last dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_enc_last dst src)
([va_Mod_flags; va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) | val va_wpProof_AESNI_enc_last : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_enc_last dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_enc_last dst src)
([va_Mod_flags; va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) | let va_wpProof_AESNI_enc_last dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc_last (va_code_AESNI_enc_last dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.X64.InsAes.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 175,
"start_col": 0,
"start_line": 168
} | module Vale.X64.InsAes
open Vale.Def.Types_s
open Vale.X64.Machine_s
open Vale.X64
open Vale.X64.State
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.Decls
open Vale.X64.CPU_Features_s
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
module P = Vale.X64.Print_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 4 --max_fuel 4 --z3rlimit 20"
//-- Pclmulqdq
[@ "opaque_to_smt"]
let va_code_Pclmulqdq dst src dstHi srcHi =
(mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16 else 0)))
(OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_Pclmulqdq dst src dstHi srcHi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Pclmulqdq va_b0 va_s0 dst src dstHi srcHi =
va_reveal_opaque (`%va_code_Pclmulqdq) (va_code_Pclmulqdq dst src dstHi srcHi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16
else 0))) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) +
(if srcHi then 16 else 0))) (OReg dst) (OReg src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Pclmulqdq dst src dstHi srcHi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Pclmulqdq (va_code_Pclmulqdq dst src dstHi srcHi) va_s0 dst src
dstHi srcHi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VPclmulqdq
[@ "opaque_to_smt"]
let va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then 16 else 0)))
(OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VPclmulqdq va_b0 va_s0 dst src1 src2 src1Hi src2Hi =
va_reveal_opaque (`%va_code_VPclmulqdq) (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then
16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0)
+ (if src2Hi then 16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VPclmulqdq dst src1 src2 src1Hi src2Hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VPclmulqdq (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi) va_s0
dst src1 src2 src1Hi src2Hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc
[@ "opaque_to_smt"]
let va_code_AESNI_enc dst src =
(mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc) (va_code_AESNI_enc dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc (va_code_AESNI_enc dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc
[@ "opaque_to_smt"]
let va_code_VAESNI_enc dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc) (va_code_VAESNI_enc dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1)
(OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc (va_code_VAESNI_enc dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc_last
[@ "opaque_to_smt"]
let va_code_AESNI_enc_last dst src =
(mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc_last dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc_last va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc_last) (va_code_AESNI_enc_last dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg
src))) va_s0 in
(va_sM, va_fM) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.State.fsti.checked",
"Vale.X64.Print_s.fst.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.AES.AES_s.fst.checked",
"Vale.AES.AES_common_s.fst.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsAes.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Print_s",
"short_module": "P"
},
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"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.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"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": 4,
"initial_ifuel": 0,
"max_fuel": 4,
"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 |
dst: Vale.X64.Decls.va_operand_xmm ->
src: Vale.X64.Decls.va_operand_xmm ->
va_s0: Vale.X64.Decls.va_state ->
va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_operand_xmm",
"Vale.X64.Decls.va_state",
"Prims.unit",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.X64.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.X64.QuickCode.mod_t",
"Vale.X64.QuickCode.va_Mod_flags",
"Vale.X64.QuickCode.va_mod_xmm",
"Prims.Nil",
"Prims._assert",
"Vale.X64.Decls.va_state_eq",
"Vale.X64.Decls.va_update_flags",
"Vale.X64.Decls.va_update_ok",
"Vale.X64.Decls.va_update_operand_xmm",
"Vale.X64.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.X64.State.vale_state",
"Vale.X64.InsAes.va_lemma_AESNI_enc_last",
"Vale.X64.InsAes.va_code_AESNI_enc_last"
] | [] | false | false | false | false | false | let va_wpProof_AESNI_enc_last dst src va_s0 va_k =
| let va_sM, va_f0 = va_lemma_AESNI_enc_last (va_code_AESNI_enc_last dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM
(va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | false |
FStar.List.Tot.Base.fst | FStar.List.Tot.Base.splitAt | val splitAt (#a: Type) (n: nat) (l: list a) : Tot (list a * list a) | val splitAt (#a: Type) (n: nat) (l: list a) : Tot (list a * list a) | let rec splitAt (#a:Type) (n:nat) (l:list a) : Tot (list a * list a) =
if n = 0 then [], l
else
match l with
| [] -> [], l
| x :: xs -> let l1, l2 = splitAt (n-1) xs in x :: l1, l2 | {
"file_name": "ulib/FStar.List.Tot.Base.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 61,
"end_line": 448,
"start_col": 0,
"start_line": 443
} | (*
Copyright 2008-2014 Nikhil Swamy and 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.
*)
(**
This module defines all pure and total operations on lists that can be
used in specifications. It is implemented by FStar_List_Tot_Base.ml, any
functional change and/or the addition of new functions MUST be reflected
there.
@summary Pure total operations on lists
*)
module FStar.List.Tot.Base
(**
Base operations
*)
(** [isEmpty l] returns [true] if and only if [l] is empty *)
val isEmpty: list 'a -> Tot bool
let isEmpty l = match l with
| [] -> true
| _ -> false
(** [hd l] returns the first element of [l]. Requires [l] to be
nonempty, at type-checking time. Named as in: OCaml, F#, Coq *)
val hd: l:list 'a{Cons? l} -> Tot 'a
let hd = function
| hd::_ -> hd
(** [tail l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Similar to: tl in OCaml, F#, Coq
*)
val tail: l:list 'a {Cons? l} -> Tot (list 'a)
let tail = function
| _::tl -> tl
(** [tl l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Named as in: OCaml, F#, Coq
*)
val tl: l:list 'a {Cons? l} -> Tot (list 'a)
let tl = tail
(** [last l] returns the last element of [l]. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val last: l:list 'a {Cons? l} -> Tot 'a
let rec last = function
| [hd] -> hd
| _::tl -> last tl
(** [init l] returns [l] without its last element. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val init: l:list 'a {Cons? l} -> Tot (list 'a)
let rec init = function
| [_] -> []
| hd::tl -> hd::(init tl)
(** [length l] returns the total number of elements in [l]. Named as
in: OCaml, F#, Coq *)
val length: list 'a -> Tot nat
let rec length = function
| [] -> 0
| _::tl -> 1 + length tl
(** [nth l n] returns the [n]-th element in list [l] (with the first
element being the 0-th) if [l] is long enough, or [None]
otherwise. Named as in: OCaml, F#, Coq *)
val nth: list 'a -> nat -> Tot (option 'a)
let rec nth l n = match l with
| [] -> None
| hd::tl -> if n = 0 then Some hd else nth tl (n - 1)
(** [index l n] returns the [n]-th element in list [l] (with the first
element being the 0-th). Requires, at type-checking time, that [l] be
of length at least [n+1]. *)
val index: #a:Type -> l:list a -> i:nat{i < length l} -> Tot a
let rec index #a (l: list a) (i:nat{i < length l}): Tot a =
if i = 0 then
hd l
else
index (tl l) (i - 1)
(** [count x l] returns the number of occurrences of [x] in
[l]. Requires, at type-checking time, the type of [a] to have equality
defined. Similar to: [List.count_occ] in Coq. *)
val count: #a:eqtype -> a -> list a -> Tot nat
let rec count #a x = function
| [] -> 0
| hd::tl -> if x=hd then 1 + count x tl else count x tl
(** [rev_acc l1 l2] appends the elements of [l1] to the beginning of
[l2], in reverse order. It is equivalent to [append (rev l1) l2], but
is tail-recursive. Similar to: [List.rev_append] in OCaml, Coq. *)
val rev_acc: list 'a -> list 'a -> Tot (list 'a)
let rec rev_acc l acc = match l with
| [] -> acc
| hd::tl -> rev_acc tl (hd::acc)
(** [rev l] returns the list [l] in reverse order. Named as in: OCaml,
F#, Coq. *)
val rev: list 'a -> Tot (list 'a)
let rev l = rev_acc l []
(** [append l1 l2] appends the elements of [l2] to the end of [l1]. Named as: OCaml, F#. Similar to: [List.app] in Coq. *)
val append: list 'a -> list 'a -> Tot (list 'a)
let rec append x y = match x with
| [] -> y
| a::tl -> a::append tl y
(** Defines notation [@@] for [append], as in OCaml, F# . *)
let op_At x y = append x y
(** [snoc (l, x)] adds [x] to the end of the list [l].
Note: We use an uncurried [snoc (l, x)] instead of the curried
[snoc l x]. This is intentional. If [snoc] takes a pair instead
of 2 arguments, it allows for a better pattern on
[lemma_unsnoc_snoc], which connects [snoc] and [unsnoc]. In
particular, if we had two arguments, then either the pattern would
either be too restrictive or would lead to over-triggering. More
context for this can be seen in the (collapsed and uncollapsed)
comments at https://github.com/FStarLang/FStar/pull/1560 *)
val snoc: (list 'a * 'a) -> Tot (list 'a)
let snoc (l, x) = append l [x]
(** [flatten l], where [l] is a list of lists, returns the list of the
elements of the lists in [l], preserving their order. Named as in:
OCaml, Coq. *)
val flatten: list (list 'a) -> Tot (list 'a)
let rec flatten l = match l with
| [] -> []
| hd::tl -> append hd (flatten tl)
(** [map f l] applies [f] to each element of [l] and returns the list
of results, in the order of the original elements in [l]. Requires, at
type-checking time, [f] to be a pure total function. Named as in: OCaml, Coq, F# *)
val map: ('a -> Tot 'b) -> list 'a -> Tot (list 'b)
let rec map f x = match x with
| [] -> []
| a::tl -> f a::map f tl
(** [mapi_init f l n] applies, for each [k], [f (n+k)] to the [k]-th
element of [l] and returns the list of results, in the order of the
original elements in [l]. Requires, at type-checking time, [f] to be a
pure total function. *)
val mapi_init: (int -> 'a -> Tot 'b) -> list 'a -> int -> Tot (list 'b)
let rec mapi_init f l i = match l with
| [] -> []
| hd::tl -> (f i hd)::(mapi_init f tl (i+1))
(** [mapi f l] applies, for each [k], [f k] to the [k]-th element of
[l] and returns the list of results, in the order of the original
elements in [l]. Requires, at type-checking time, [f] to be a pure
total function. Named as in: OCaml *)
val mapi: (int -> 'a -> Tot 'b) -> list 'a -> Tot (list 'b)
let mapi f l = mapi_init f l 0
(** [concatMap f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. This is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. *)
val concatMap: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec concatMap f = function
| [] -> []
| a::tl ->
let fa = f a in
let ftl = concatMap f tl in
append fa ftl
(** [fold_left f x [y1; y2; ...; yn]] computes (f (... (f x y1) y2)
... yn). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq. *)
val fold_left: ('a -> 'b -> Tot 'a) -> 'a -> l:list 'b -> Tot 'a (decreases l)
let rec fold_left f x l = match l with
| [] -> x
| hd::tl -> fold_left f (f x hd) tl
(** [fold_right f [x1; x2; ...; xn] y] computes (f x1 (f x2 (... (f xn
y)) ... )). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq *)
val fold_right: ('a -> 'b -> Tot 'b) -> list 'a -> 'b -> Tot 'b
let rec fold_right f l x = match l with
| [] -> x
| hd::tl -> f hd (fold_right f tl x)
(** [fold_right_gtot] is just like [fold_right], except `f` is
a ghost function **)
let rec fold_right_gtot (#a:Type) (#b:Type) (l:list a) (f:a -> b -> GTot b) (x:b)
: GTot b
= match l with
| [] -> x
| hd::tl -> f hd (fold_right_gtot tl f x)
(* We define map in terms of fold, to share simple lemmas *)
let map_gtot #a #b (f:a -> GTot b) (x:list a)
: GTot (list b)
= fold_right_gtot x (fun x tl -> f x :: tl) []
(** [fold_left2 f x [y1; y2; ...; yn] [z1; z2; ...; zn]] computes (f
(... (f x y1 z1) y2 z2) ... yn zn). Requires, at type-checking time,
[f] to be a pure total function, and the lists [y1; y2; ...; yn] and
[z1; z2; ...; zn] to have the same lengths. Named as in: OCaml *)
val fold_left2 : f:('a -> 'b -> 'c -> Tot 'a) -> accu:'a -> l1:(list 'b) -> l2:(list 'c) ->
Pure 'a (requires (length l1 == length l2)) (ensures (fun _ -> True)) (decreases l1)
let rec fold_left2 f accu l1 l2 =
match (l1, l2) with
| ([], []) -> accu
| (a1::l1, a2::l2) -> fold_left2 f (f accu a1 a2) l1 l2
(** Propositional membership (as in Coq). Does not require decidable
equality. *)
(** [memP x l] holds if, and only if, [x] appears as an
element of [l]. Similar to: List.In in Coq. *)
let rec memP (#a: Type) (x: a) (l: list a) : Tot Type0 =
match l with
| [] -> False
| y :: q -> x == y \/ memP x q
(** List searching **)
(** [mem x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. Named as in: OCaml. See also:
List.In in Coq, which is propositional. *)
val mem: #a:eqtype -> a -> list a -> Tot bool
let rec mem #a x = function
| [] -> false
| hd::tl -> if hd = x then true else mem x tl
(** [contains x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. It is equivalent to: [mem x
l]. TODO: should we rather swap the order of arguments? *)
let contains : #a:eqtype -> a -> list a -> Tot bool = mem
(** [existsb f l] returns [true] if, and only if, there exists some
element [x] in [l] such that [f x] holds. *)
val existsb: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot bool
let rec existsb #a f l = match l with
| [] -> false
| hd::tl -> if f hd then true else existsb f tl
(** [find f l] returns [Some x] for some element [x] appearing in [l]
such that [f x] holds, or [None] only if no such [x] exists. *)
val find: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot (option (x:a{f x}))
let rec find #a f l = match l with
| [] -> None #(x:a{f x}) //These type annotations are only present because it makes bootstrapping go much faster
| hd::tl -> if f hd then Some #(x:a{f x}) hd else find f tl
(** Filtering elements of a list [l] through a Boolean pure total
predicate [f] *)
(** [filter f l] returns [l] with all elements [x] such that [f x]
does not hold removed. Requires, at type-checking time, [f] to be a
pure total function. Named as in: OCaml, Coq *)
val filter : #a: Type -> f:(a -> Tot bool) -> l: list a -> Tot (m:list a{forall x. memP x m ==> f x})
let rec filter #a f = function
| [] -> []
| hd::tl -> if f hd then hd::filter f tl else filter f tl
(** Postcondition on [filter f l]: for any element [x] of [filter f l],
[f x] holds. Requires, at type-checking time, [f] to be a pure total
function.*)
val mem_filter (#a:Type) (f: (a -> Tot bool)) (l: list a) (x: a) : Lemma
(requires (memP x (filter f l)))
(ensures (f x))
let mem_filter f l x = ()
(** Postcondition on [filter f l]: stated with [forall]: for any element
[x] of [filter f l], [f x] holds. Requires, at type-checking time, [f]
to be a pure total function. *)
val mem_filter_forall (#a:Type) (f: (a -> Tot bool)) (l: list a) : Lemma
(requires True)
(ensures (forall x . memP x (filter f l) ==> f x))
[SMTPat (filter f l)]
let mem_filter_forall f l = FStar.Classical.ghost_lemma (mem_filter f l)
(** [for_all f l] returns [true] if, and only if, for all elements [x]
appearing in [l], [f x] holds. Requires, at type-checking time, [f] to
be a pure total function. Named as in: OCaml. Similar to: List.forallb
in Coq *)
val for_all: ('a -> Tot bool) -> list 'a -> Tot bool
let rec for_all f l = match l with
| [] -> true
| hd::tl -> if f hd then for_all f tl else false
(** Specification for [for_all f l] vs. mem *)
let rec for_all_mem
(#a: Type)
(f: (a -> Tot bool))
(l: list a)
: Lemma
(for_all f l <==> (forall x . memP x l ==> f x))
= match l with
| [] -> ()
| _ :: q -> for_all_mem f q
(** [collect f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. It is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. TODO: what is
the difference with [concatMap]? *)
val collect: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec collect f l = match l with
| [] -> []
| hd::tl -> append (f hd) (collect f tl)
(** [tryFind f l] returns [Some x] for some element [x] appearing in
[l] such that [f x] holds, or [None] only if no such [x]
exists. Requires, at type-checking time, [f] to be a pure total
function. Contrary to [find], [tryFind] provides no postcondition on
its result. *)
val tryFind: ('a -> Tot bool) -> list 'a -> Tot (option 'a)
let rec tryFind p l = match l with
| [] -> None
| hd::tl -> if p hd then Some hd else tryFind p tl
(** [tryPick f l] returns [y] for some element [x] appearing in [l]
such that [f x = Some y] for some y, or [None] only if [f x = None]
for all elements [x] of [l]. Requires, at type-checking time, [f] to
be a pure total function. *)
val tryPick: ('a -> Tot (option 'b)) -> list 'a -> Tot (option 'b)
let rec tryPick f l = match l with
| [] -> None
| hd::tl ->
match f hd with
| Some x -> Some x
| None -> tryPick f tl
(** [choose f l] returns the list of [y] for all elements [x]
appearing in [l] such that [f x = Some y] for some [y]. Requires, at
type-checking time, [f] to be a pure total function. *)
val choose: ('a -> Tot (option 'b)) -> list 'a -> Tot (list 'b)
let rec choose f l = match l with
| [] -> []
| hd::tl ->
match f hd with
| Some x -> x::(choose f tl)
| None -> choose f tl
(** [partition f l] returns the pair of lists [(l1, l2)] where all
elements [x] of [l] are in [l1] if [f x] holds, and in [l2]
otherwise. Both [l1] and [l2] retain the original order of
[l]. Requires, at type-checking time, [f] to be a pure total
function. *)
val partition: f:('a -> Tot bool) -> list 'a -> Tot (list 'a * list 'a)
let rec partition f = function
| [] -> [], []
| hd::tl ->
let l1, l2 = partition f tl in
if f hd
then hd::l1, l2
else l1, hd::l2
(** [subset la lb] is true if and only if all the elements from [la]
are also in [lb]. Requires, at type-checking time, the type of
elements of [la] and [lb] to have decidable equality. *)
val subset: #a:eqtype -> list a -> list a -> Tot bool
let rec subset #a la lb =
match la with
| [] -> true
| h :: tl -> mem h lb && subset tl lb
(** [noRepeats l] returns [true] if, and only if, no element of [l]
appears in [l] more than once. Requires, at type-checking time, the
type of elements of [la] and [lb] to have decidable equality. *)
val noRepeats : #a:eqtype -> list a -> Tot bool
let rec noRepeats #a la =
match la with
| [] -> true
| h :: tl -> not(mem h tl) && noRepeats tl
(** [no_repeats_p l] valid if, and only if, no element of [l]
appears in [l] more than once. *)
val no_repeats_p : #a:Type -> list a -> Tot prop
let rec no_repeats_p #a la =
match la with
| [] -> True
| h :: tl -> ~(memP h tl) /\ no_repeats_p tl
(** List of tuples **)
(** [assoc x l] returns [Some y] where [(x, y)] is the first element
of [l] whose first element is [x], or [None] only if no such element
exists. Requires, at type-checking time, the type of [x] to have
decidable equality. Named as in: OCaml. *)
val assoc: #a:eqtype -> #b:Type -> a -> list (a * b) -> Tot (option b)
let rec assoc #a #b x = function
| [] -> None
| (x', y)::tl -> if x=x' then Some y else assoc x tl
(** [split] takes a list of pairs [(x1, y1), ..., (xn, yn)] and
returns the pair of lists ([x1, ..., xn], [y1, ..., yn]). Named as in:
OCaml *)
val split: list ('a * 'b) -> Tot (list 'a * list 'b)
let rec split l = match l with
| [] -> ([],[])
| (hd1,hd2)::tl ->
let (tl1,tl2) = split tl in
(hd1::tl1,hd2::tl2)
(** [unzip] takes a list of pairs [(x1, y1), ..., (xn, yn)] and
returns the pair of lists ([x1, ..., xn], [y1, ..., yn]). Named as in:
Haskell *)
let unzip l = split l
(** [unzip3] takes a list of triples [(x1, y1, z1), ..., (xn, yn, zn)]
and returns the triple of lists ([x1, ..., xn], [y1, ..., yn], [z1,
..., zn]). Named as in: Haskell *)
val unzip3: list ('a * 'b * 'c) -> Tot (list 'a * list 'b * list 'c)
let rec unzip3 l = match l with
| [] -> ([],[],[])
| (hd1,hd2,hd3)::tl ->
let (tl1,tl2,tl3) = unzip3 tl in
(hd1::tl1,hd2::tl2,hd3::tl3)
(** Splitting a list at some index **)
(** [splitAt] takes a natural number n and a list and returns a pair
of the maximal prefix of l of size smaller than n and the rest of | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.List.Tot.Base.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"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 | n: Prims.nat -> l: Prims.list a -> Prims.list a * Prims.list a | Prims.Tot | [
"total"
] | [] | [
"Prims.nat",
"Prims.list",
"Prims.op_Equality",
"Prims.int",
"FStar.Pervasives.Native.Mktuple2",
"Prims.Nil",
"Prims.bool",
"Prims.Cons",
"FStar.Pervasives.Native.tuple2",
"FStar.List.Tot.Base.splitAt",
"Prims.op_Subtraction"
] | [
"recursion"
] | false | false | false | true | false | let rec splitAt (#a: Type) (n: nat) (l: list a) : Tot (list a * list a) =
| if n = 0
then [], l
else
match l with
| [] -> [], l
| x :: xs ->
let l1, l2 = splitAt (n - 1) xs in
x :: l1, l2 | false |
Vale.X64.InsAes.fst | Vale.X64.InsAes.va_quick_AESNI_dec | val va_quick_AESNI_dec (dst src: va_operand_xmm) : (va_quickCode unit (va_code_AESNI_dec dst src)) | val va_quick_AESNI_dec (dst src: va_operand_xmm) : (va_quickCode unit (va_code_AESNI_dec dst src)) | let va_quick_AESNI_dec (dst:va_operand_xmm) (src:va_operand_xmm) : (va_quickCode unit
(va_code_AESNI_dec dst src)) =
(va_QProc (va_code_AESNI_dec dst src) ([va_Mod_flags; va_mod_xmm dst]) (va_wp_AESNI_dec dst src)
(va_wpProof_AESNI_dec dst src)) | {
"file_name": "obj/Vale.X64.InsAes.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 35,
"end_line": 273,
"start_col": 0,
"start_line": 270
} | module Vale.X64.InsAes
open Vale.Def.Types_s
open Vale.X64.Machine_s
open Vale.X64
open Vale.X64.State
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.Decls
open Vale.X64.CPU_Features_s
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
module P = Vale.X64.Print_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 4 --max_fuel 4 --z3rlimit 20"
//-- Pclmulqdq
[@ "opaque_to_smt"]
let va_code_Pclmulqdq dst src dstHi srcHi =
(mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16 else 0)))
(OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_Pclmulqdq dst src dstHi srcHi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Pclmulqdq va_b0 va_s0 dst src dstHi srcHi =
va_reveal_opaque (`%va_code_Pclmulqdq) (va_code_Pclmulqdq dst src dstHi srcHi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16
else 0))) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) +
(if srcHi then 16 else 0))) (OReg dst) (OReg src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Pclmulqdq dst src dstHi srcHi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Pclmulqdq (va_code_Pclmulqdq dst src dstHi srcHi) va_s0 dst src
dstHi srcHi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VPclmulqdq
[@ "opaque_to_smt"]
let va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then 16 else 0)))
(OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VPclmulqdq va_b0 va_s0 dst src1 src2 src1Hi src2Hi =
va_reveal_opaque (`%va_code_VPclmulqdq) (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then
16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0)
+ (if src2Hi then 16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VPclmulqdq dst src1 src2 src1Hi src2Hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VPclmulqdq (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi) va_s0
dst src1 src2 src1Hi src2Hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc
[@ "opaque_to_smt"]
let va_code_AESNI_enc dst src =
(mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc) (va_code_AESNI_enc dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc (va_code_AESNI_enc dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc
[@ "opaque_to_smt"]
let va_code_VAESNI_enc dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc) (va_code_VAESNI_enc dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1)
(OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc (va_code_VAESNI_enc dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc_last
[@ "opaque_to_smt"]
let va_code_AESNI_enc_last dst src =
(mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc_last dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc_last va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc_last) (va_code_AESNI_enc_last dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg
src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc_last dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc_last (va_code_AESNI_enc_last dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc_last
[@ "opaque_to_smt"]
let va_code_VAESNI_enc_last dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc_last dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc_last va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc_last) (va_code_VAESNI_enc_last dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2)))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg
src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc_last dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc_last (va_code_VAESNI_enc_last dst src1 src2) va_s0 dst
src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_dec
val va_code_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code
[@ "opaque_to_smt"]
let va_code_AESNI_dec dst src =
(mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src)))
val va_codegen_success_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_dec dst src =
(va_ttrue ())
val va_lemma_AESNI_dec : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm -> src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_dec dst src) va_s0 /\ va_is_dst_xmm dst va_s0 /\
va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_s.inv_mix_columns_LE
(Vale.AES.AES_common_s.inv_sub_bytes (Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0
dst)))) (va_eval_xmm va_s0 src) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM
(va_update_operand_xmm dst va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_AESNI_dec va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_dec) (va_code_AESNI_dec dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_dec (dst:va_operand_xmm) (src:va_operand_xmm) (va_s0:va_state) (va_k:(va_state ->
unit -> Type0)) : Type0 =
(va_is_dst_xmm dst va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled /\
(forall (va_x_dst:va_value_xmm) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl
(va_upd_operand_xmm dst va_x_dst va_s0) in va_get_ok va_sM /\ va_eval_xmm va_sM dst ==
Vale.Def.Types_s.quad32_xor (Vale.AES.AES_s.inv_mix_columns_LE
(Vale.AES.AES_common_s.inv_sub_bytes (Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0
dst)))) (va_eval_xmm va_s0 src) ==> va_k va_sM (())))
val va_wpProof_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_dec dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_dec dst src) ([va_Mod_flags;
va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_dec dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_dec (va_code_AESNI_dec dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.State.fsti.checked",
"Vale.X64.Print_s.fst.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.AES.AES_s.fst.checked",
"Vale.AES.AES_common_s.fst.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsAes.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Print_s",
"short_module": "P"
},
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"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.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"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": 4,
"initial_ifuel": 0,
"max_fuel": 4,
"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 | dst: Vale.X64.Decls.va_operand_xmm -> src: Vale.X64.Decls.va_operand_xmm
-> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.X64.InsAes.va_code_AESNI_dec dst src) | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.Decls.va_operand_xmm",
"Vale.X64.QuickCode.va_QProc",
"Prims.unit",
"Vale.X64.InsAes.va_code_AESNI_dec",
"Prims.Cons",
"Vale.X64.QuickCode.mod_t",
"Vale.X64.QuickCode.va_Mod_flags",
"Vale.X64.QuickCode.va_mod_xmm",
"Prims.Nil",
"Vale.X64.InsAes.va_wp_AESNI_dec",
"Vale.X64.InsAes.va_wpProof_AESNI_dec",
"Vale.X64.QuickCode.va_quickCode"
] | [] | false | false | false | false | false | let va_quick_AESNI_dec (dst src: va_operand_xmm) : (va_quickCode unit (va_code_AESNI_dec dst src)) =
| (va_QProc (va_code_AESNI_dec dst src)
([va_Mod_flags; va_mod_xmm dst])
(va_wp_AESNI_dec dst src)
(va_wpProof_AESNI_dec dst src)) | false |
FStar.List.Tot.Base.fst | FStar.List.Tot.Base.strict_suffix_of | val strict_suffix_of (#a: Type) (l1 l2: list a)
: Pure Type0 (requires True) (ensures (fun _ -> True)) (decreases l2) | val strict_suffix_of (#a: Type) (l1 l2: list a)
: Pure Type0 (requires True) (ensures (fun _ -> True)) (decreases l2) | let rec strict_suffix_of (#a: Type) (l1 l2: list a)
: Pure Type0
(requires True)
(ensures (fun _ -> True))
(decreases l2)
= match l2 with
| [] -> False
| _ :: q -> l1 == q \/ l1 `strict_suffix_of` q | {
"file_name": "ulib/FStar.List.Tot.Base.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 48,
"end_line": 538,
"start_col": 0,
"start_line": 531
} | (*
Copyright 2008-2014 Nikhil Swamy and 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.
*)
(**
This module defines all pure and total operations on lists that can be
used in specifications. It is implemented by FStar_List_Tot_Base.ml, any
functional change and/or the addition of new functions MUST be reflected
there.
@summary Pure total operations on lists
*)
module FStar.List.Tot.Base
(**
Base operations
*)
(** [isEmpty l] returns [true] if and only if [l] is empty *)
val isEmpty: list 'a -> Tot bool
let isEmpty l = match l with
| [] -> true
| _ -> false
(** [hd l] returns the first element of [l]. Requires [l] to be
nonempty, at type-checking time. Named as in: OCaml, F#, Coq *)
val hd: l:list 'a{Cons? l} -> Tot 'a
let hd = function
| hd::_ -> hd
(** [tail l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Similar to: tl in OCaml, F#, Coq
*)
val tail: l:list 'a {Cons? l} -> Tot (list 'a)
let tail = function
| _::tl -> tl
(** [tl l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Named as in: OCaml, F#, Coq
*)
val tl: l:list 'a {Cons? l} -> Tot (list 'a)
let tl = tail
(** [last l] returns the last element of [l]. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val last: l:list 'a {Cons? l} -> Tot 'a
let rec last = function
| [hd] -> hd
| _::tl -> last tl
(** [init l] returns [l] without its last element. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val init: l:list 'a {Cons? l} -> Tot (list 'a)
let rec init = function
| [_] -> []
| hd::tl -> hd::(init tl)
(** [length l] returns the total number of elements in [l]. Named as
in: OCaml, F#, Coq *)
val length: list 'a -> Tot nat
let rec length = function
| [] -> 0
| _::tl -> 1 + length tl
(** [nth l n] returns the [n]-th element in list [l] (with the first
element being the 0-th) if [l] is long enough, or [None]
otherwise. Named as in: OCaml, F#, Coq *)
val nth: list 'a -> nat -> Tot (option 'a)
let rec nth l n = match l with
| [] -> None
| hd::tl -> if n = 0 then Some hd else nth tl (n - 1)
(** [index l n] returns the [n]-th element in list [l] (with the first
element being the 0-th). Requires, at type-checking time, that [l] be
of length at least [n+1]. *)
val index: #a:Type -> l:list a -> i:nat{i < length l} -> Tot a
let rec index #a (l: list a) (i:nat{i < length l}): Tot a =
if i = 0 then
hd l
else
index (tl l) (i - 1)
(** [count x l] returns the number of occurrences of [x] in
[l]. Requires, at type-checking time, the type of [a] to have equality
defined. Similar to: [List.count_occ] in Coq. *)
val count: #a:eqtype -> a -> list a -> Tot nat
let rec count #a x = function
| [] -> 0
| hd::tl -> if x=hd then 1 + count x tl else count x tl
(** [rev_acc l1 l2] appends the elements of [l1] to the beginning of
[l2], in reverse order. It is equivalent to [append (rev l1) l2], but
is tail-recursive. Similar to: [List.rev_append] in OCaml, Coq. *)
val rev_acc: list 'a -> list 'a -> Tot (list 'a)
let rec rev_acc l acc = match l with
| [] -> acc
| hd::tl -> rev_acc tl (hd::acc)
(** [rev l] returns the list [l] in reverse order. Named as in: OCaml,
F#, Coq. *)
val rev: list 'a -> Tot (list 'a)
let rev l = rev_acc l []
(** [append l1 l2] appends the elements of [l2] to the end of [l1]. Named as: OCaml, F#. Similar to: [List.app] in Coq. *)
val append: list 'a -> list 'a -> Tot (list 'a)
let rec append x y = match x with
| [] -> y
| a::tl -> a::append tl y
(** Defines notation [@@] for [append], as in OCaml, F# . *)
let op_At x y = append x y
(** [snoc (l, x)] adds [x] to the end of the list [l].
Note: We use an uncurried [snoc (l, x)] instead of the curried
[snoc l x]. This is intentional. If [snoc] takes a pair instead
of 2 arguments, it allows for a better pattern on
[lemma_unsnoc_snoc], which connects [snoc] and [unsnoc]. In
particular, if we had two arguments, then either the pattern would
either be too restrictive or would lead to over-triggering. More
context for this can be seen in the (collapsed and uncollapsed)
comments at https://github.com/FStarLang/FStar/pull/1560 *)
val snoc: (list 'a * 'a) -> Tot (list 'a)
let snoc (l, x) = append l [x]
(** [flatten l], where [l] is a list of lists, returns the list of the
elements of the lists in [l], preserving their order. Named as in:
OCaml, Coq. *)
val flatten: list (list 'a) -> Tot (list 'a)
let rec flatten l = match l with
| [] -> []
| hd::tl -> append hd (flatten tl)
(** [map f l] applies [f] to each element of [l] and returns the list
of results, in the order of the original elements in [l]. Requires, at
type-checking time, [f] to be a pure total function. Named as in: OCaml, Coq, F# *)
val map: ('a -> Tot 'b) -> list 'a -> Tot (list 'b)
let rec map f x = match x with
| [] -> []
| a::tl -> f a::map f tl
(** [mapi_init f l n] applies, for each [k], [f (n+k)] to the [k]-th
element of [l] and returns the list of results, in the order of the
original elements in [l]. Requires, at type-checking time, [f] to be a
pure total function. *)
val mapi_init: (int -> 'a -> Tot 'b) -> list 'a -> int -> Tot (list 'b)
let rec mapi_init f l i = match l with
| [] -> []
| hd::tl -> (f i hd)::(mapi_init f tl (i+1))
(** [mapi f l] applies, for each [k], [f k] to the [k]-th element of
[l] and returns the list of results, in the order of the original
elements in [l]. Requires, at type-checking time, [f] to be a pure
total function. Named as in: OCaml *)
val mapi: (int -> 'a -> Tot 'b) -> list 'a -> Tot (list 'b)
let mapi f l = mapi_init f l 0
(** [concatMap f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. This is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. *)
val concatMap: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec concatMap f = function
| [] -> []
| a::tl ->
let fa = f a in
let ftl = concatMap f tl in
append fa ftl
(** [fold_left f x [y1; y2; ...; yn]] computes (f (... (f x y1) y2)
... yn). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq. *)
val fold_left: ('a -> 'b -> Tot 'a) -> 'a -> l:list 'b -> Tot 'a (decreases l)
let rec fold_left f x l = match l with
| [] -> x
| hd::tl -> fold_left f (f x hd) tl
(** [fold_right f [x1; x2; ...; xn] y] computes (f x1 (f x2 (... (f xn
y)) ... )). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq *)
val fold_right: ('a -> 'b -> Tot 'b) -> list 'a -> 'b -> Tot 'b
let rec fold_right f l x = match l with
| [] -> x
| hd::tl -> f hd (fold_right f tl x)
(** [fold_right_gtot] is just like [fold_right], except `f` is
a ghost function **)
let rec fold_right_gtot (#a:Type) (#b:Type) (l:list a) (f:a -> b -> GTot b) (x:b)
: GTot b
= match l with
| [] -> x
| hd::tl -> f hd (fold_right_gtot tl f x)
(* We define map in terms of fold, to share simple lemmas *)
let map_gtot #a #b (f:a -> GTot b) (x:list a)
: GTot (list b)
= fold_right_gtot x (fun x tl -> f x :: tl) []
(** [fold_left2 f x [y1; y2; ...; yn] [z1; z2; ...; zn]] computes (f
(... (f x y1 z1) y2 z2) ... yn zn). Requires, at type-checking time,
[f] to be a pure total function, and the lists [y1; y2; ...; yn] and
[z1; z2; ...; zn] to have the same lengths. Named as in: OCaml *)
val fold_left2 : f:('a -> 'b -> 'c -> Tot 'a) -> accu:'a -> l1:(list 'b) -> l2:(list 'c) ->
Pure 'a (requires (length l1 == length l2)) (ensures (fun _ -> True)) (decreases l1)
let rec fold_left2 f accu l1 l2 =
match (l1, l2) with
| ([], []) -> accu
| (a1::l1, a2::l2) -> fold_left2 f (f accu a1 a2) l1 l2
(** Propositional membership (as in Coq). Does not require decidable
equality. *)
(** [memP x l] holds if, and only if, [x] appears as an
element of [l]. Similar to: List.In in Coq. *)
let rec memP (#a: Type) (x: a) (l: list a) : Tot Type0 =
match l with
| [] -> False
| y :: q -> x == y \/ memP x q
(** List searching **)
(** [mem x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. Named as in: OCaml. See also:
List.In in Coq, which is propositional. *)
val mem: #a:eqtype -> a -> list a -> Tot bool
let rec mem #a x = function
| [] -> false
| hd::tl -> if hd = x then true else mem x tl
(** [contains x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. It is equivalent to: [mem x
l]. TODO: should we rather swap the order of arguments? *)
let contains : #a:eqtype -> a -> list a -> Tot bool = mem
(** [existsb f l] returns [true] if, and only if, there exists some
element [x] in [l] such that [f x] holds. *)
val existsb: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot bool
let rec existsb #a f l = match l with
| [] -> false
| hd::tl -> if f hd then true else existsb f tl
(** [find f l] returns [Some x] for some element [x] appearing in [l]
such that [f x] holds, or [None] only if no such [x] exists. *)
val find: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot (option (x:a{f x}))
let rec find #a f l = match l with
| [] -> None #(x:a{f x}) //These type annotations are only present because it makes bootstrapping go much faster
| hd::tl -> if f hd then Some #(x:a{f x}) hd else find f tl
(** Filtering elements of a list [l] through a Boolean pure total
predicate [f] *)
(** [filter f l] returns [l] with all elements [x] such that [f x]
does not hold removed. Requires, at type-checking time, [f] to be a
pure total function. Named as in: OCaml, Coq *)
val filter : #a: Type -> f:(a -> Tot bool) -> l: list a -> Tot (m:list a{forall x. memP x m ==> f x})
let rec filter #a f = function
| [] -> []
| hd::tl -> if f hd then hd::filter f tl else filter f tl
(** Postcondition on [filter f l]: for any element [x] of [filter f l],
[f x] holds. Requires, at type-checking time, [f] to be a pure total
function.*)
val mem_filter (#a:Type) (f: (a -> Tot bool)) (l: list a) (x: a) : Lemma
(requires (memP x (filter f l)))
(ensures (f x))
let mem_filter f l x = ()
(** Postcondition on [filter f l]: stated with [forall]: for any element
[x] of [filter f l], [f x] holds. Requires, at type-checking time, [f]
to be a pure total function. *)
val mem_filter_forall (#a:Type) (f: (a -> Tot bool)) (l: list a) : Lemma
(requires True)
(ensures (forall x . memP x (filter f l) ==> f x))
[SMTPat (filter f l)]
let mem_filter_forall f l = FStar.Classical.ghost_lemma (mem_filter f l)
(** [for_all f l] returns [true] if, and only if, for all elements [x]
appearing in [l], [f x] holds. Requires, at type-checking time, [f] to
be a pure total function. Named as in: OCaml. Similar to: List.forallb
in Coq *)
val for_all: ('a -> Tot bool) -> list 'a -> Tot bool
let rec for_all f l = match l with
| [] -> true
| hd::tl -> if f hd then for_all f tl else false
(** Specification for [for_all f l] vs. mem *)
let rec for_all_mem
(#a: Type)
(f: (a -> Tot bool))
(l: list a)
: Lemma
(for_all f l <==> (forall x . memP x l ==> f x))
= match l with
| [] -> ()
| _ :: q -> for_all_mem f q
(** [collect f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. It is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. TODO: what is
the difference with [concatMap]? *)
val collect: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec collect f l = match l with
| [] -> []
| hd::tl -> append (f hd) (collect f tl)
(** [tryFind f l] returns [Some x] for some element [x] appearing in
[l] such that [f x] holds, or [None] only if no such [x]
exists. Requires, at type-checking time, [f] to be a pure total
function. Contrary to [find], [tryFind] provides no postcondition on
its result. *)
val tryFind: ('a -> Tot bool) -> list 'a -> Tot (option 'a)
let rec tryFind p l = match l with
| [] -> None
| hd::tl -> if p hd then Some hd else tryFind p tl
(** [tryPick f l] returns [y] for some element [x] appearing in [l]
such that [f x = Some y] for some y, or [None] only if [f x = None]
for all elements [x] of [l]. Requires, at type-checking time, [f] to
be a pure total function. *)
val tryPick: ('a -> Tot (option 'b)) -> list 'a -> Tot (option 'b)
let rec tryPick f l = match l with
| [] -> None
| hd::tl ->
match f hd with
| Some x -> Some x
| None -> tryPick f tl
(** [choose f l] returns the list of [y] for all elements [x]
appearing in [l] such that [f x = Some y] for some [y]. Requires, at
type-checking time, [f] to be a pure total function. *)
val choose: ('a -> Tot (option 'b)) -> list 'a -> Tot (list 'b)
let rec choose f l = match l with
| [] -> []
| hd::tl ->
match f hd with
| Some x -> x::(choose f tl)
| None -> choose f tl
(** [partition f l] returns the pair of lists [(l1, l2)] where all
elements [x] of [l] are in [l1] if [f x] holds, and in [l2]
otherwise. Both [l1] and [l2] retain the original order of
[l]. Requires, at type-checking time, [f] to be a pure total
function. *)
val partition: f:('a -> Tot bool) -> list 'a -> Tot (list 'a * list 'a)
let rec partition f = function
| [] -> [], []
| hd::tl ->
let l1, l2 = partition f tl in
if f hd
then hd::l1, l2
else l1, hd::l2
(** [subset la lb] is true if and only if all the elements from [la]
are also in [lb]. Requires, at type-checking time, the type of
elements of [la] and [lb] to have decidable equality. *)
val subset: #a:eqtype -> list a -> list a -> Tot bool
let rec subset #a la lb =
match la with
| [] -> true
| h :: tl -> mem h lb && subset tl lb
(** [noRepeats l] returns [true] if, and only if, no element of [l]
appears in [l] more than once. Requires, at type-checking time, the
type of elements of [la] and [lb] to have decidable equality. *)
val noRepeats : #a:eqtype -> list a -> Tot bool
let rec noRepeats #a la =
match la with
| [] -> true
| h :: tl -> not(mem h tl) && noRepeats tl
(** [no_repeats_p l] valid if, and only if, no element of [l]
appears in [l] more than once. *)
val no_repeats_p : #a:Type -> list a -> Tot prop
let rec no_repeats_p #a la =
match la with
| [] -> True
| h :: tl -> ~(memP h tl) /\ no_repeats_p tl
(** List of tuples **)
(** [assoc x l] returns [Some y] where [(x, y)] is the first element
of [l] whose first element is [x], or [None] only if no such element
exists. Requires, at type-checking time, the type of [x] to have
decidable equality. Named as in: OCaml. *)
val assoc: #a:eqtype -> #b:Type -> a -> list (a * b) -> Tot (option b)
let rec assoc #a #b x = function
| [] -> None
| (x', y)::tl -> if x=x' then Some y else assoc x tl
(** [split] takes a list of pairs [(x1, y1), ..., (xn, yn)] and
returns the pair of lists ([x1, ..., xn], [y1, ..., yn]). Named as in:
OCaml *)
val split: list ('a * 'b) -> Tot (list 'a * list 'b)
let rec split l = match l with
| [] -> ([],[])
| (hd1,hd2)::tl ->
let (tl1,tl2) = split tl in
(hd1::tl1,hd2::tl2)
(** [unzip] takes a list of pairs [(x1, y1), ..., (xn, yn)] and
returns the pair of lists ([x1, ..., xn], [y1, ..., yn]). Named as in:
Haskell *)
let unzip l = split l
(** [unzip3] takes a list of triples [(x1, y1, z1), ..., (xn, yn, zn)]
and returns the triple of lists ([x1, ..., xn], [y1, ..., yn], [z1,
..., zn]). Named as in: Haskell *)
val unzip3: list ('a * 'b * 'c) -> Tot (list 'a * list 'b * list 'c)
let rec unzip3 l = match l with
| [] -> ([],[],[])
| (hd1,hd2,hd3)::tl ->
let (tl1,tl2,tl3) = unzip3 tl in
(hd1::tl1,hd2::tl2,hd3::tl3)
(** Splitting a list at some index **)
(** [splitAt] takes a natural number n and a list and returns a pair
of the maximal prefix of l of size smaller than n and the rest of
the list *)
let rec splitAt (#a:Type) (n:nat) (l:list a) : Tot (list a * list a) =
if n = 0 then [], l
else
match l with
| [] -> [], l
| x :: xs -> let l1, l2 = splitAt (n-1) xs in x :: l1, l2
let rec lemma_splitAt_snd_length (#a:Type) (n:nat) (l:list a) :
Lemma
(requires (n <= length l))
(ensures (length (snd (splitAt n l)) = length l - n)) =
match n, l with
| 0, _ -> ()
| _, [] -> ()
| _, _ :: l' -> lemma_splitAt_snd_length (n - 1) l'
(** [unsnoc] is an inverse of [snoc]. It splits a list into
all-elements-except-last and last element. *)
val unsnoc: #a:Type -> l:list a{length l > 0} -> Tot (list a * a)
let unsnoc #a l =
let l1, l2 = splitAt (length l - 1) l in
lemma_splitAt_snd_length (length l - 1) l;
l1, hd l2
(** [split3] splits a list into 3 parts. This allows easy access to
the part of the list before and after the element, as well as the
element itself. *)
val split3: #a:Type -> l:list a -> i:nat{i < length l} -> Tot (list a * a * list a)
let split3 #a l i =
let a, rest = splitAt i l in
lemma_splitAt_snd_length i l;
let b :: c = rest in
a, b, c
(** Sorting (implemented as quicksort) **)
(** [partition] splits a list [l] into two lists, the sum of whose
lengths is the length of [l]. *)
val partition_length: f:('a -> Tot bool)
-> l:list 'a
-> Lemma (requires True)
(ensures (length (fst (partition f l))
+ length (snd (partition f l)) = length l))
let rec partition_length f l = match l with
| [] -> ()
| hd::tl -> partition_length f tl
(** [bool_of_compare] turns a comparison function into a strict
order. More precisely, [bool_of_compare compare x y] returns true
if, and only if, [compare x y] is negative, meaning [x] precedes
[y] in the ordering defined by compare.
This is used in sorting, and is defined to be consistent with
OCaml and F#, where sorting is performed in ascending order.
*)
val bool_of_compare : #a:Type -> (a -> a -> Tot int) -> a -> a -> Tot bool
let bool_of_compare #a f x y = f x y < 0
(** [compare_of_bool] turns a strict order into a comparison
function. More precisely, [compare_of_bool rel x y] returns a positive
number if, and only if, x `rel` y holds. Inspired from OCaml, where
polymorphic comparison using both the [compare] function and the (>)
infix operator are such that [compare x y] is positive if, and only
if, x > y. Requires, at type-checking time, [rel] to be a pure total
function. *)
val compare_of_bool : #a:eqtype -> (a -> a -> Tot bool) -> a -> a -> Tot int
let compare_of_bool #a rel x y =
if x `rel` y then -1
else if x = y then 0
else 1
let compare_of_bool_of_compare (#a:eqtype) (f:a -> a -> Tot bool)
: Lemma (forall x y. bool_of_compare (compare_of_bool f) x y == f x y)
= ()
(** [sortWith compare l] returns the list [l'] containing the elements
of [l] sorted along the comparison function [compare], in such a
way that if [compare x y > 0], then [x] appears before [y] in
[l']. Sorts in ascending order *)
val sortWith: ('a -> 'a -> Tot int) -> l:list 'a -> Tot (list 'a) (decreases (length l))
let rec sortWith f = function
| [] -> []
| pivot::tl ->
let hi, lo = partition (bool_of_compare f pivot) tl in
partition_length (bool_of_compare f pivot) tl;
append (sortWith f lo) (pivot::sortWith f hi) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.List.Tot.Base.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"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 | l1: Prims.list a -> l2: Prims.list a -> Prims.Pure Type0 | Prims.Pure | [
""
] | [] | [
"Prims.list",
"Prims.l_False",
"Prims.l_or",
"Prims.eq2",
"FStar.List.Tot.Base.strict_suffix_of",
"Prims.l_True"
] | [
"recursion"
] | false | false | false | false | true | let rec strict_suffix_of (#a: Type) (l1 l2: list a)
: Pure Type0 (requires True) (ensures (fun _ -> True)) (decreases l2) =
| match l2 with
| [] -> False
| _ :: q -> l1 == q \/ l1 `strict_suffix_of` q | false |
Vale.X64.InsAes.fst | Vale.X64.InsAes.va_lemma_AESNI_enc_last | val va_lemma_AESNI_enc_last : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm ->
src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_enc_last dst src) va_s0 /\ va_is_dst_xmm dst
va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_common_s.sub_bytes
(Vale.AES.AES_s.shift_rows_LE (va_eval_xmm va_s0 dst))) (va_eval_xmm va_s0 src) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM va_s0))))) | val va_lemma_AESNI_enc_last : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm ->
src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_enc_last dst src) va_s0 /\ va_is_dst_xmm dst
va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_common_s.sub_bytes
(Vale.AES.AES_s.shift_rows_LE (va_eval_xmm va_s0 dst))) (va_eval_xmm va_s0 src) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM va_s0))))) | let va_lemma_AESNI_enc_last va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc_last) (va_code_AESNI_enc_last dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg
src))) va_s0 in
(va_sM, va_fM) | {
"file_name": "obj/Vale.X64.InsAes.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 164,
"start_col": 0,
"start_line": 158
} | module Vale.X64.InsAes
open Vale.Def.Types_s
open Vale.X64.Machine_s
open Vale.X64
open Vale.X64.State
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.Decls
open Vale.X64.CPU_Features_s
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
module P = Vale.X64.Print_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 4 --max_fuel 4 --z3rlimit 20"
//-- Pclmulqdq
[@ "opaque_to_smt"]
let va_code_Pclmulqdq dst src dstHi srcHi =
(mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16 else 0)))
(OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_Pclmulqdq dst src dstHi srcHi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Pclmulqdq va_b0 va_s0 dst src dstHi srcHi =
va_reveal_opaque (`%va_code_Pclmulqdq) (va_code_Pclmulqdq dst src dstHi srcHi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16
else 0))) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) +
(if srcHi then 16 else 0))) (OReg dst) (OReg src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Pclmulqdq dst src dstHi srcHi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Pclmulqdq (va_code_Pclmulqdq dst src dstHi srcHi) va_s0 dst src
dstHi srcHi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VPclmulqdq
[@ "opaque_to_smt"]
let va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then 16 else 0)))
(OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VPclmulqdq va_b0 va_s0 dst src1 src2 src1Hi src2Hi =
va_reveal_opaque (`%va_code_VPclmulqdq) (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then
16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0)
+ (if src2Hi then 16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VPclmulqdq dst src1 src2 src1Hi src2Hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VPclmulqdq (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi) va_s0
dst src1 src2 src1Hi src2Hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc
[@ "opaque_to_smt"]
let va_code_AESNI_enc dst src =
(mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc) (va_code_AESNI_enc dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc (va_code_AESNI_enc dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc
[@ "opaque_to_smt"]
let va_code_VAESNI_enc dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc) (va_code_VAESNI_enc dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1)
(OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc (va_code_VAESNI_enc dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc_last
[@ "opaque_to_smt"]
let va_code_AESNI_enc_last dst src =
(mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc_last dst src =
(va_ttrue ()) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.State.fsti.checked",
"Vale.X64.Print_s.fst.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.AES.AES_s.fst.checked",
"Vale.AES.AES_common_s.fst.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsAes.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Print_s",
"short_module": "P"
},
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"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.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"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": 4,
"initial_ifuel": 0,
"max_fuel": 4,
"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 |
va_b0: Vale.X64.Decls.va_code ->
va_s0: Vale.X64.Decls.va_state ->
dst: Vale.X64.Decls.va_operand_xmm ->
src: Vale.X64.Decls.va_operand_xmm
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.Decls.va_operand_xmm",
"Vale.X64.State.vale_state",
"Vale.X64.Lemmas.fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.tuple2",
"Prims.nat",
"Vale.X64.Decls.va_eval_ins",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.inOut",
"Vale.X64.Instruction_s.opXmm",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_AESNI_enc_last",
"Vale.X64.Machine_s.OReg",
"Vale.X64.Machine_s.quad32",
"Vale.X64.Machine_s.reg_xmm",
"Prims.unit",
"Vale.X64.Decls.va_ins_lemma",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.InsAes.va_code_AESNI_enc_last"
] | [] | false | false | false | false | false | let va_lemma_AESNI_enc_last va_b0 va_s0 dst src =
| va_reveal_opaque (`%va_code_AESNI_enc_last) (va_code_AESNI_enc_last dst src);
let va_old_s:va_state = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src))) va_s0;
let va_sM, va_fM =
va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src))) va_s0
in
(va_sM, va_fM) | false |
FStar.List.Tot.Base.fst | FStar.List.Tot.Base.sortWith | val sortWith: ('a -> 'a -> Tot int) -> l:list 'a -> Tot (list 'a) (decreases (length l)) | val sortWith: ('a -> 'a -> Tot int) -> l:list 'a -> Tot (list 'a) (decreases (length l)) | let rec sortWith f = function
| [] -> []
| pivot::tl ->
let hi, lo = partition (bool_of_compare f pivot) tl in
partition_length (bool_of_compare f pivot) tl;
append (sortWith f lo) (pivot::sortWith f hi) | {
"file_name": "ulib/FStar.List.Tot.Base.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 50,
"end_line": 528,
"start_col": 0,
"start_line": 523
} | (*
Copyright 2008-2014 Nikhil Swamy and 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.
*)
(**
This module defines all pure and total operations on lists that can be
used in specifications. It is implemented by FStar_List_Tot_Base.ml, any
functional change and/or the addition of new functions MUST be reflected
there.
@summary Pure total operations on lists
*)
module FStar.List.Tot.Base
(**
Base operations
*)
(** [isEmpty l] returns [true] if and only if [l] is empty *)
val isEmpty: list 'a -> Tot bool
let isEmpty l = match l with
| [] -> true
| _ -> false
(** [hd l] returns the first element of [l]. Requires [l] to be
nonempty, at type-checking time. Named as in: OCaml, F#, Coq *)
val hd: l:list 'a{Cons? l} -> Tot 'a
let hd = function
| hd::_ -> hd
(** [tail l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Similar to: tl in OCaml, F#, Coq
*)
val tail: l:list 'a {Cons? l} -> Tot (list 'a)
let tail = function
| _::tl -> tl
(** [tl l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Named as in: OCaml, F#, Coq
*)
val tl: l:list 'a {Cons? l} -> Tot (list 'a)
let tl = tail
(** [last l] returns the last element of [l]. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val last: l:list 'a {Cons? l} -> Tot 'a
let rec last = function
| [hd] -> hd
| _::tl -> last tl
(** [init l] returns [l] without its last element. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val init: l:list 'a {Cons? l} -> Tot (list 'a)
let rec init = function
| [_] -> []
| hd::tl -> hd::(init tl)
(** [length l] returns the total number of elements in [l]. Named as
in: OCaml, F#, Coq *)
val length: list 'a -> Tot nat
let rec length = function
| [] -> 0
| _::tl -> 1 + length tl
(** [nth l n] returns the [n]-th element in list [l] (with the first
element being the 0-th) if [l] is long enough, or [None]
otherwise. Named as in: OCaml, F#, Coq *)
val nth: list 'a -> nat -> Tot (option 'a)
let rec nth l n = match l with
| [] -> None
| hd::tl -> if n = 0 then Some hd else nth tl (n - 1)
(** [index l n] returns the [n]-th element in list [l] (with the first
element being the 0-th). Requires, at type-checking time, that [l] be
of length at least [n+1]. *)
val index: #a:Type -> l:list a -> i:nat{i < length l} -> Tot a
let rec index #a (l: list a) (i:nat{i < length l}): Tot a =
if i = 0 then
hd l
else
index (tl l) (i - 1)
(** [count x l] returns the number of occurrences of [x] in
[l]. Requires, at type-checking time, the type of [a] to have equality
defined. Similar to: [List.count_occ] in Coq. *)
val count: #a:eqtype -> a -> list a -> Tot nat
let rec count #a x = function
| [] -> 0
| hd::tl -> if x=hd then 1 + count x tl else count x tl
(** [rev_acc l1 l2] appends the elements of [l1] to the beginning of
[l2], in reverse order. It is equivalent to [append (rev l1) l2], but
is tail-recursive. Similar to: [List.rev_append] in OCaml, Coq. *)
val rev_acc: list 'a -> list 'a -> Tot (list 'a)
let rec rev_acc l acc = match l with
| [] -> acc
| hd::tl -> rev_acc tl (hd::acc)
(** [rev l] returns the list [l] in reverse order. Named as in: OCaml,
F#, Coq. *)
val rev: list 'a -> Tot (list 'a)
let rev l = rev_acc l []
(** [append l1 l2] appends the elements of [l2] to the end of [l1]. Named as: OCaml, F#. Similar to: [List.app] in Coq. *)
val append: list 'a -> list 'a -> Tot (list 'a)
let rec append x y = match x with
| [] -> y
| a::tl -> a::append tl y
(** Defines notation [@@] for [append], as in OCaml, F# . *)
let op_At x y = append x y
(** [snoc (l, x)] adds [x] to the end of the list [l].
Note: We use an uncurried [snoc (l, x)] instead of the curried
[snoc l x]. This is intentional. If [snoc] takes a pair instead
of 2 arguments, it allows for a better pattern on
[lemma_unsnoc_snoc], which connects [snoc] and [unsnoc]. In
particular, if we had two arguments, then either the pattern would
either be too restrictive or would lead to over-triggering. More
context for this can be seen in the (collapsed and uncollapsed)
comments at https://github.com/FStarLang/FStar/pull/1560 *)
val snoc: (list 'a * 'a) -> Tot (list 'a)
let snoc (l, x) = append l [x]
(** [flatten l], where [l] is a list of lists, returns the list of the
elements of the lists in [l], preserving their order. Named as in:
OCaml, Coq. *)
val flatten: list (list 'a) -> Tot (list 'a)
let rec flatten l = match l with
| [] -> []
| hd::tl -> append hd (flatten tl)
(** [map f l] applies [f] to each element of [l] and returns the list
of results, in the order of the original elements in [l]. Requires, at
type-checking time, [f] to be a pure total function. Named as in: OCaml, Coq, F# *)
val map: ('a -> Tot 'b) -> list 'a -> Tot (list 'b)
let rec map f x = match x with
| [] -> []
| a::tl -> f a::map f tl
(** [mapi_init f l n] applies, for each [k], [f (n+k)] to the [k]-th
element of [l] and returns the list of results, in the order of the
original elements in [l]. Requires, at type-checking time, [f] to be a
pure total function. *)
val mapi_init: (int -> 'a -> Tot 'b) -> list 'a -> int -> Tot (list 'b)
let rec mapi_init f l i = match l with
| [] -> []
| hd::tl -> (f i hd)::(mapi_init f tl (i+1))
(** [mapi f l] applies, for each [k], [f k] to the [k]-th element of
[l] and returns the list of results, in the order of the original
elements in [l]. Requires, at type-checking time, [f] to be a pure
total function. Named as in: OCaml *)
val mapi: (int -> 'a -> Tot 'b) -> list 'a -> Tot (list 'b)
let mapi f l = mapi_init f l 0
(** [concatMap f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. This is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. *)
val concatMap: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec concatMap f = function
| [] -> []
| a::tl ->
let fa = f a in
let ftl = concatMap f tl in
append fa ftl
(** [fold_left f x [y1; y2; ...; yn]] computes (f (... (f x y1) y2)
... yn). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq. *)
val fold_left: ('a -> 'b -> Tot 'a) -> 'a -> l:list 'b -> Tot 'a (decreases l)
let rec fold_left f x l = match l with
| [] -> x
| hd::tl -> fold_left f (f x hd) tl
(** [fold_right f [x1; x2; ...; xn] y] computes (f x1 (f x2 (... (f xn
y)) ... )). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq *)
val fold_right: ('a -> 'b -> Tot 'b) -> list 'a -> 'b -> Tot 'b
let rec fold_right f l x = match l with
| [] -> x
| hd::tl -> f hd (fold_right f tl x)
(** [fold_right_gtot] is just like [fold_right], except `f` is
a ghost function **)
let rec fold_right_gtot (#a:Type) (#b:Type) (l:list a) (f:a -> b -> GTot b) (x:b)
: GTot b
= match l with
| [] -> x
| hd::tl -> f hd (fold_right_gtot tl f x)
(* We define map in terms of fold, to share simple lemmas *)
let map_gtot #a #b (f:a -> GTot b) (x:list a)
: GTot (list b)
= fold_right_gtot x (fun x tl -> f x :: tl) []
(** [fold_left2 f x [y1; y2; ...; yn] [z1; z2; ...; zn]] computes (f
(... (f x y1 z1) y2 z2) ... yn zn). Requires, at type-checking time,
[f] to be a pure total function, and the lists [y1; y2; ...; yn] and
[z1; z2; ...; zn] to have the same lengths. Named as in: OCaml *)
val fold_left2 : f:('a -> 'b -> 'c -> Tot 'a) -> accu:'a -> l1:(list 'b) -> l2:(list 'c) ->
Pure 'a (requires (length l1 == length l2)) (ensures (fun _ -> True)) (decreases l1)
let rec fold_left2 f accu l1 l2 =
match (l1, l2) with
| ([], []) -> accu
| (a1::l1, a2::l2) -> fold_left2 f (f accu a1 a2) l1 l2
(** Propositional membership (as in Coq). Does not require decidable
equality. *)
(** [memP x l] holds if, and only if, [x] appears as an
element of [l]. Similar to: List.In in Coq. *)
let rec memP (#a: Type) (x: a) (l: list a) : Tot Type0 =
match l with
| [] -> False
| y :: q -> x == y \/ memP x q
(** List searching **)
(** [mem x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. Named as in: OCaml. See also:
List.In in Coq, which is propositional. *)
val mem: #a:eqtype -> a -> list a -> Tot bool
let rec mem #a x = function
| [] -> false
| hd::tl -> if hd = x then true else mem x tl
(** [contains x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. It is equivalent to: [mem x
l]. TODO: should we rather swap the order of arguments? *)
let contains : #a:eqtype -> a -> list a -> Tot bool = mem
(** [existsb f l] returns [true] if, and only if, there exists some
element [x] in [l] such that [f x] holds. *)
val existsb: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot bool
let rec existsb #a f l = match l with
| [] -> false
| hd::tl -> if f hd then true else existsb f tl
(** [find f l] returns [Some x] for some element [x] appearing in [l]
such that [f x] holds, or [None] only if no such [x] exists. *)
val find: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot (option (x:a{f x}))
let rec find #a f l = match l with
| [] -> None #(x:a{f x}) //These type annotations are only present because it makes bootstrapping go much faster
| hd::tl -> if f hd then Some #(x:a{f x}) hd else find f tl
(** Filtering elements of a list [l] through a Boolean pure total
predicate [f] *)
(** [filter f l] returns [l] with all elements [x] such that [f x]
does not hold removed. Requires, at type-checking time, [f] to be a
pure total function. Named as in: OCaml, Coq *)
val filter : #a: Type -> f:(a -> Tot bool) -> l: list a -> Tot (m:list a{forall x. memP x m ==> f x})
let rec filter #a f = function
| [] -> []
| hd::tl -> if f hd then hd::filter f tl else filter f tl
(** Postcondition on [filter f l]: for any element [x] of [filter f l],
[f x] holds. Requires, at type-checking time, [f] to be a pure total
function.*)
val mem_filter (#a:Type) (f: (a -> Tot bool)) (l: list a) (x: a) : Lemma
(requires (memP x (filter f l)))
(ensures (f x))
let mem_filter f l x = ()
(** Postcondition on [filter f l]: stated with [forall]: for any element
[x] of [filter f l], [f x] holds. Requires, at type-checking time, [f]
to be a pure total function. *)
val mem_filter_forall (#a:Type) (f: (a -> Tot bool)) (l: list a) : Lemma
(requires True)
(ensures (forall x . memP x (filter f l) ==> f x))
[SMTPat (filter f l)]
let mem_filter_forall f l = FStar.Classical.ghost_lemma (mem_filter f l)
(** [for_all f l] returns [true] if, and only if, for all elements [x]
appearing in [l], [f x] holds. Requires, at type-checking time, [f] to
be a pure total function. Named as in: OCaml. Similar to: List.forallb
in Coq *)
val for_all: ('a -> Tot bool) -> list 'a -> Tot bool
let rec for_all f l = match l with
| [] -> true
| hd::tl -> if f hd then for_all f tl else false
(** Specification for [for_all f l] vs. mem *)
let rec for_all_mem
(#a: Type)
(f: (a -> Tot bool))
(l: list a)
: Lemma
(for_all f l <==> (forall x . memP x l ==> f x))
= match l with
| [] -> ()
| _ :: q -> for_all_mem f q
(** [collect f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. It is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. TODO: what is
the difference with [concatMap]? *)
val collect: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec collect f l = match l with
| [] -> []
| hd::tl -> append (f hd) (collect f tl)
(** [tryFind f l] returns [Some x] for some element [x] appearing in
[l] such that [f x] holds, or [None] only if no such [x]
exists. Requires, at type-checking time, [f] to be a pure total
function. Contrary to [find], [tryFind] provides no postcondition on
its result. *)
val tryFind: ('a -> Tot bool) -> list 'a -> Tot (option 'a)
let rec tryFind p l = match l with
| [] -> None
| hd::tl -> if p hd then Some hd else tryFind p tl
(** [tryPick f l] returns [y] for some element [x] appearing in [l]
such that [f x = Some y] for some y, or [None] only if [f x = None]
for all elements [x] of [l]. Requires, at type-checking time, [f] to
be a pure total function. *)
val tryPick: ('a -> Tot (option 'b)) -> list 'a -> Tot (option 'b)
let rec tryPick f l = match l with
| [] -> None
| hd::tl ->
match f hd with
| Some x -> Some x
| None -> tryPick f tl
(** [choose f l] returns the list of [y] for all elements [x]
appearing in [l] such that [f x = Some y] for some [y]. Requires, at
type-checking time, [f] to be a pure total function. *)
val choose: ('a -> Tot (option 'b)) -> list 'a -> Tot (list 'b)
let rec choose f l = match l with
| [] -> []
| hd::tl ->
match f hd with
| Some x -> x::(choose f tl)
| None -> choose f tl
(** [partition f l] returns the pair of lists [(l1, l2)] where all
elements [x] of [l] are in [l1] if [f x] holds, and in [l2]
otherwise. Both [l1] and [l2] retain the original order of
[l]. Requires, at type-checking time, [f] to be a pure total
function. *)
val partition: f:('a -> Tot bool) -> list 'a -> Tot (list 'a * list 'a)
let rec partition f = function
| [] -> [], []
| hd::tl ->
let l1, l2 = partition f tl in
if f hd
then hd::l1, l2
else l1, hd::l2
(** [subset la lb] is true if and only if all the elements from [la]
are also in [lb]. Requires, at type-checking time, the type of
elements of [la] and [lb] to have decidable equality. *)
val subset: #a:eqtype -> list a -> list a -> Tot bool
let rec subset #a la lb =
match la with
| [] -> true
| h :: tl -> mem h lb && subset tl lb
(** [noRepeats l] returns [true] if, and only if, no element of [l]
appears in [l] more than once. Requires, at type-checking time, the
type of elements of [la] and [lb] to have decidable equality. *)
val noRepeats : #a:eqtype -> list a -> Tot bool
let rec noRepeats #a la =
match la with
| [] -> true
| h :: tl -> not(mem h tl) && noRepeats tl
(** [no_repeats_p l] valid if, and only if, no element of [l]
appears in [l] more than once. *)
val no_repeats_p : #a:Type -> list a -> Tot prop
let rec no_repeats_p #a la =
match la with
| [] -> True
| h :: tl -> ~(memP h tl) /\ no_repeats_p tl
(** List of tuples **)
(** [assoc x l] returns [Some y] where [(x, y)] is the first element
of [l] whose first element is [x], or [None] only if no such element
exists. Requires, at type-checking time, the type of [x] to have
decidable equality. Named as in: OCaml. *)
val assoc: #a:eqtype -> #b:Type -> a -> list (a * b) -> Tot (option b)
let rec assoc #a #b x = function
| [] -> None
| (x', y)::tl -> if x=x' then Some y else assoc x tl
(** [split] takes a list of pairs [(x1, y1), ..., (xn, yn)] and
returns the pair of lists ([x1, ..., xn], [y1, ..., yn]). Named as in:
OCaml *)
val split: list ('a * 'b) -> Tot (list 'a * list 'b)
let rec split l = match l with
| [] -> ([],[])
| (hd1,hd2)::tl ->
let (tl1,tl2) = split tl in
(hd1::tl1,hd2::tl2)
(** [unzip] takes a list of pairs [(x1, y1), ..., (xn, yn)] and
returns the pair of lists ([x1, ..., xn], [y1, ..., yn]). Named as in:
Haskell *)
let unzip l = split l
(** [unzip3] takes a list of triples [(x1, y1, z1), ..., (xn, yn, zn)]
and returns the triple of lists ([x1, ..., xn], [y1, ..., yn], [z1,
..., zn]). Named as in: Haskell *)
val unzip3: list ('a * 'b * 'c) -> Tot (list 'a * list 'b * list 'c)
let rec unzip3 l = match l with
| [] -> ([],[],[])
| (hd1,hd2,hd3)::tl ->
let (tl1,tl2,tl3) = unzip3 tl in
(hd1::tl1,hd2::tl2,hd3::tl3)
(** Splitting a list at some index **)
(** [splitAt] takes a natural number n and a list and returns a pair
of the maximal prefix of l of size smaller than n and the rest of
the list *)
let rec splitAt (#a:Type) (n:nat) (l:list a) : Tot (list a * list a) =
if n = 0 then [], l
else
match l with
| [] -> [], l
| x :: xs -> let l1, l2 = splitAt (n-1) xs in x :: l1, l2
let rec lemma_splitAt_snd_length (#a:Type) (n:nat) (l:list a) :
Lemma
(requires (n <= length l))
(ensures (length (snd (splitAt n l)) = length l - n)) =
match n, l with
| 0, _ -> ()
| _, [] -> ()
| _, _ :: l' -> lemma_splitAt_snd_length (n - 1) l'
(** [unsnoc] is an inverse of [snoc]. It splits a list into
all-elements-except-last and last element. *)
val unsnoc: #a:Type -> l:list a{length l > 0} -> Tot (list a * a)
let unsnoc #a l =
let l1, l2 = splitAt (length l - 1) l in
lemma_splitAt_snd_length (length l - 1) l;
l1, hd l2
(** [split3] splits a list into 3 parts. This allows easy access to
the part of the list before and after the element, as well as the
element itself. *)
val split3: #a:Type -> l:list a -> i:nat{i < length l} -> Tot (list a * a * list a)
let split3 #a l i =
let a, rest = splitAt i l in
lemma_splitAt_snd_length i l;
let b :: c = rest in
a, b, c
(** Sorting (implemented as quicksort) **)
(** [partition] splits a list [l] into two lists, the sum of whose
lengths is the length of [l]. *)
val partition_length: f:('a -> Tot bool)
-> l:list 'a
-> Lemma (requires True)
(ensures (length (fst (partition f l))
+ length (snd (partition f l)) = length l))
let rec partition_length f l = match l with
| [] -> ()
| hd::tl -> partition_length f tl
(** [bool_of_compare] turns a comparison function into a strict
order. More precisely, [bool_of_compare compare x y] returns true
if, and only if, [compare x y] is negative, meaning [x] precedes
[y] in the ordering defined by compare.
This is used in sorting, and is defined to be consistent with
OCaml and F#, where sorting is performed in ascending order.
*)
val bool_of_compare : #a:Type -> (a -> a -> Tot int) -> a -> a -> Tot bool
let bool_of_compare #a f x y = f x y < 0
(** [compare_of_bool] turns a strict order into a comparison
function. More precisely, [compare_of_bool rel x y] returns a positive
number if, and only if, x `rel` y holds. Inspired from OCaml, where
polymorphic comparison using both the [compare] function and the (>)
infix operator are such that [compare x y] is positive if, and only
if, x > y. Requires, at type-checking time, [rel] to be a pure total
function. *)
val compare_of_bool : #a:eqtype -> (a -> a -> Tot bool) -> a -> a -> Tot int
let compare_of_bool #a rel x y =
if x `rel` y then -1
else if x = y then 0
else 1
let compare_of_bool_of_compare (#a:eqtype) (f:a -> a -> Tot bool)
: Lemma (forall x y. bool_of_compare (compare_of_bool f) x y == f x y)
= ()
(** [sortWith compare l] returns the list [l'] containing the elements
of [l] sorted along the comparison function [compare], in such a
way that if [compare x y > 0], then [x] appears before [y] in
[l']. Sorts in ascending order *) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.List.Tot.Base.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"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 | f: (_: 'a -> _: 'a -> Prims.int) -> l: Prims.list 'a -> Prims.Tot (Prims.list 'a) | Prims.Tot | [
"total",
""
] | [] | [
"Prims.int",
"Prims.list",
"Prims.Nil",
"FStar.List.Tot.Base.append",
"FStar.List.Tot.Base.sortWith",
"Prims.Cons",
"Prims.unit",
"FStar.List.Tot.Base.partition_length",
"FStar.List.Tot.Base.bool_of_compare",
"FStar.Pervasives.Native.tuple2",
"FStar.List.Tot.Base.partition"
] | [
"recursion"
] | false | false | false | true | false | let rec sortWith f =
| function
| [] -> []
| pivot :: tl ->
let hi, lo = partition (bool_of_compare f pivot) tl in
partition_length (bool_of_compare f pivot) tl;
append (sortWith f lo) (pivot :: sortWith f hi) | false |
ConstructiveLogic.fst | ConstructiveLogic.ex1 | val ex1 : p: Prims.prop -> Prims.unit | let ex1 (p : prop) =
assert (p ==> p)
by (let b = implies_intro () in
hyp (binding_to_namedv b)) | {
"file_name": "examples/tactics/eci19/ConstructiveLogic.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 36,
"end_line": 60,
"start_col": 0,
"start_line": 57
} | module ConstructiveLogic
open FStar.Tactics.V2
(*
As you probably know by now, verification in F* works by first computing
verification conditions for terms, and then discharging them via the SMT
solver (when they are not trivial).
When a program fails to verify, the user can take one of many paths.
Firstly, one can increase the time limit of the SMT solver, or change
its configuration in the hope that the proof will go through. More
commonly, however, the programmer needs to give the SMT solver some
help in the form of new facts that it can use. We've seen examples of
this when we call lemmas within a function body in order to make it
verify. For instance, compare the following two examples (the first of
which fails).
*)
[@expect_failure]
let modulo_add_fail (p:pos) (a b c : int)
: Lemma (requires (b % p == c % p)) (ensures ((a + b) % p == (a + c) % p))
= ()
let modulo_add (p:pos) (a b c : int)
: Lemma (requires (b % p == c % p)) (ensures ((a + b) % p == (a + c) % p))
= FStar.Math.Lemmas.modulo_distributivity a b p;
FStar.Math.Lemmas.modulo_distributivity a c p
(*
This style of proving has two serious disadvantages. First, the goal
and set of hypotheses and not visible to the user, so proving usually
involves some trial and error. Second, there is no automation: the user
is responsible for writing all intermediate assertions and lemma calls,
which also clutter the proof/program.
With tactics, we can do better. We can inspect the "proof state",
i.e. the hypotheses we have and goal we have to solve, and implement
automated proof procedures. We can use tactics to do non-trivial proofs
without the SMT solver, or to simply give it some help when that's more
convenient. In this file we will mostly focus on the first alternative.
To get our feet wet, we will start with some simple examples of logical
propositions. The SMT is very good at this, but we will not use it at
all in the following examples.
Let us prove that implication is reflexive. We will use some tactics
from the `FStar.Tactics.Logic` module, in order to introduce the
implication and use the hypothesis.
When the goal is an implication, `implies_intro` will introduce the
implication and return a `binder` which represents the variable that was
pushed into the context. In the example, we use this `binder` to solve
the goal via `hyp`.
*) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Tactics.Effect.fsti.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": false,
"source_file": "ConstructiveLogic.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"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 | p: Prims.prop -> Prims.unit | Prims.Tot | [
"total"
] | [] | [
"Prims.prop",
"FStar.Tactics.Effect.assert_by_tactic",
"Prims.l_imp",
"Prims.unit",
"FStar.Tactics.V2.Logic.hyp",
"FStar.Tactics.V2.SyntaxCoercions.binding_to_namedv",
"FStar.Tactics.NamedView.binding",
"FStar.Tactics.V2.Logic.implies_intro"
] | [] | false | false | false | true | false | let ex1 (p: prop) =
| FStar.Tactics.Effect.assert_by_tactic (p ==> p)
(fun _ ->
();
(let b = implies_intro () in
hyp (binding_to_namedv b))) | false |
|
Vale.X64.InsAes.fst | Vale.X64.InsAes.va_wpProof_VAESNI_enc_last | val va_wpProof_VAESNI_enc_last : dst:va_operand_xmm -> src1:va_operand_xmm -> src2:va_operand_xmm
-> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_VAESNI_enc_last dst src1 src2 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_VAESNI_enc_last dst src1 src2)
([va_Mod_flags; va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) | val va_wpProof_VAESNI_enc_last : dst:va_operand_xmm -> src1:va_operand_xmm -> src2:va_operand_xmm
-> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_VAESNI_enc_last dst src1 src2 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_VAESNI_enc_last dst src1 src2)
([va_Mod_flags; va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) | let va_wpProof_VAESNI_enc_last dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc_last (va_code_VAESNI_enc_last dst src1 src2) va_s0 dst
src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.X64.InsAes.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 208,
"start_col": 0,
"start_line": 200
} | module Vale.X64.InsAes
open Vale.Def.Types_s
open Vale.X64.Machine_s
open Vale.X64
open Vale.X64.State
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.Decls
open Vale.X64.CPU_Features_s
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
module P = Vale.X64.Print_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 4 --max_fuel 4 --z3rlimit 20"
//-- Pclmulqdq
[@ "opaque_to_smt"]
let va_code_Pclmulqdq dst src dstHi srcHi =
(mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16 else 0)))
(OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_Pclmulqdq dst src dstHi srcHi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Pclmulqdq va_b0 va_s0 dst src dstHi srcHi =
va_reveal_opaque (`%va_code_Pclmulqdq) (va_code_Pclmulqdq dst src dstHi srcHi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16
else 0))) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) +
(if srcHi then 16 else 0))) (OReg dst) (OReg src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Pclmulqdq dst src dstHi srcHi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Pclmulqdq (va_code_Pclmulqdq dst src dstHi srcHi) va_s0 dst src
dstHi srcHi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VPclmulqdq
[@ "opaque_to_smt"]
let va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then 16 else 0)))
(OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VPclmulqdq va_b0 va_s0 dst src1 src2 src1Hi src2Hi =
va_reveal_opaque (`%va_code_VPclmulqdq) (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then
16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0)
+ (if src2Hi then 16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VPclmulqdq dst src1 src2 src1Hi src2Hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VPclmulqdq (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi) va_s0
dst src1 src2 src1Hi src2Hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc
[@ "opaque_to_smt"]
let va_code_AESNI_enc dst src =
(mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc) (va_code_AESNI_enc dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc (va_code_AESNI_enc dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc
[@ "opaque_to_smt"]
let va_code_VAESNI_enc dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc) (va_code_VAESNI_enc dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1)
(OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc (va_code_VAESNI_enc dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc_last
[@ "opaque_to_smt"]
let va_code_AESNI_enc_last dst src =
(mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc_last dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc_last va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc_last) (va_code_AESNI_enc_last dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg
src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc_last dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc_last (va_code_AESNI_enc_last dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc_last
[@ "opaque_to_smt"]
let va_code_VAESNI_enc_last dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc_last dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc_last va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc_last) (va_code_VAESNI_enc_last dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2)))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg
src1) (OReg src2))) va_s0 in
(va_sM, va_fM) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.State.fsti.checked",
"Vale.X64.Print_s.fst.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.AES.AES_s.fst.checked",
"Vale.AES.AES_common_s.fst.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsAes.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Print_s",
"short_module": "P"
},
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"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.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"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": 4,
"initial_ifuel": 0,
"max_fuel": 4,
"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 |
dst: Vale.X64.Decls.va_operand_xmm ->
src1: Vale.X64.Decls.va_operand_xmm ->
src2: Vale.X64.Decls.va_operand_xmm ->
va_s0: Vale.X64.Decls.va_state ->
va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_operand_xmm",
"Vale.X64.Decls.va_state",
"Prims.unit",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.X64.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.X64.QuickCode.mod_t",
"Vale.X64.QuickCode.va_Mod_flags",
"Vale.X64.QuickCode.va_mod_xmm",
"Prims.Nil",
"Prims._assert",
"Vale.X64.Decls.va_state_eq",
"Vale.X64.Decls.va_update_flags",
"Vale.X64.Decls.va_update_ok",
"Vale.X64.Decls.va_update_operand_xmm",
"Vale.X64.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.X64.State.vale_state",
"Vale.X64.InsAes.va_lemma_VAESNI_enc_last",
"Vale.X64.InsAes.va_code_VAESNI_enc_last"
] | [] | false | false | false | false | false | let va_wpProof_VAESNI_enc_last dst src1 src2 va_s0 va_k =
| let va_sM, va_f0 =
va_lemma_VAESNI_enc_last (va_code_VAESNI_enc_last dst src1 src2) va_s0 dst src1 src2
in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM
(va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | false |
FStar.List.Tot.Base.fst | FStar.List.Tot.Base.list_refb | val list_refb: #a:eqtype -> #p:(a -> Tot bool) ->
l:list a { for_all p l } ->
Tot (l':list (x:a{ p x }) {
length l = length l' /\
(forall i. {:pattern (index l i) } index l i = index l' i) }) | val list_refb: #a:eqtype -> #p:(a -> Tot bool) ->
l:list a { for_all p l } ->
Tot (l':list (x:a{ p x }) {
length l = length l' /\
(forall i. {:pattern (index l i) } index l i = index l' i) }) | let rec list_refb #a #p l =
match l with
| hd :: tl -> hd :: list_refb #a #p tl
| [] -> [] | {
"file_name": "ulib/FStar.List.Tot.Base.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 12,
"end_line": 557,
"start_col": 0,
"start_line": 554
} | (*
Copyright 2008-2014 Nikhil Swamy and 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.
*)
(**
This module defines all pure and total operations on lists that can be
used in specifications. It is implemented by FStar_List_Tot_Base.ml, any
functional change and/or the addition of new functions MUST be reflected
there.
@summary Pure total operations on lists
*)
module FStar.List.Tot.Base
(**
Base operations
*)
(** [isEmpty l] returns [true] if and only if [l] is empty *)
val isEmpty: list 'a -> Tot bool
let isEmpty l = match l with
| [] -> true
| _ -> false
(** [hd l] returns the first element of [l]. Requires [l] to be
nonempty, at type-checking time. Named as in: OCaml, F#, Coq *)
val hd: l:list 'a{Cons? l} -> Tot 'a
let hd = function
| hd::_ -> hd
(** [tail l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Similar to: tl in OCaml, F#, Coq
*)
val tail: l:list 'a {Cons? l} -> Tot (list 'a)
let tail = function
| _::tl -> tl
(** [tl l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Named as in: OCaml, F#, Coq
*)
val tl: l:list 'a {Cons? l} -> Tot (list 'a)
let tl = tail
(** [last l] returns the last element of [l]. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val last: l:list 'a {Cons? l} -> Tot 'a
let rec last = function
| [hd] -> hd
| _::tl -> last tl
(** [init l] returns [l] without its last element. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val init: l:list 'a {Cons? l} -> Tot (list 'a)
let rec init = function
| [_] -> []
| hd::tl -> hd::(init tl)
(** [length l] returns the total number of elements in [l]. Named as
in: OCaml, F#, Coq *)
val length: list 'a -> Tot nat
let rec length = function
| [] -> 0
| _::tl -> 1 + length tl
(** [nth l n] returns the [n]-th element in list [l] (with the first
element being the 0-th) if [l] is long enough, or [None]
otherwise. Named as in: OCaml, F#, Coq *)
val nth: list 'a -> nat -> Tot (option 'a)
let rec nth l n = match l with
| [] -> None
| hd::tl -> if n = 0 then Some hd else nth tl (n - 1)
(** [index l n] returns the [n]-th element in list [l] (with the first
element being the 0-th). Requires, at type-checking time, that [l] be
of length at least [n+1]. *)
val index: #a:Type -> l:list a -> i:nat{i < length l} -> Tot a
let rec index #a (l: list a) (i:nat{i < length l}): Tot a =
if i = 0 then
hd l
else
index (tl l) (i - 1)
(** [count x l] returns the number of occurrences of [x] in
[l]. Requires, at type-checking time, the type of [a] to have equality
defined. Similar to: [List.count_occ] in Coq. *)
val count: #a:eqtype -> a -> list a -> Tot nat
let rec count #a x = function
| [] -> 0
| hd::tl -> if x=hd then 1 + count x tl else count x tl
(** [rev_acc l1 l2] appends the elements of [l1] to the beginning of
[l2], in reverse order. It is equivalent to [append (rev l1) l2], but
is tail-recursive. Similar to: [List.rev_append] in OCaml, Coq. *)
val rev_acc: list 'a -> list 'a -> Tot (list 'a)
let rec rev_acc l acc = match l with
| [] -> acc
| hd::tl -> rev_acc tl (hd::acc)
(** [rev l] returns the list [l] in reverse order. Named as in: OCaml,
F#, Coq. *)
val rev: list 'a -> Tot (list 'a)
let rev l = rev_acc l []
(** [append l1 l2] appends the elements of [l2] to the end of [l1]. Named as: OCaml, F#. Similar to: [List.app] in Coq. *)
val append: list 'a -> list 'a -> Tot (list 'a)
let rec append x y = match x with
| [] -> y
| a::tl -> a::append tl y
(** Defines notation [@@] for [append], as in OCaml, F# . *)
let op_At x y = append x y
(** [snoc (l, x)] adds [x] to the end of the list [l].
Note: We use an uncurried [snoc (l, x)] instead of the curried
[snoc l x]. This is intentional. If [snoc] takes a pair instead
of 2 arguments, it allows for a better pattern on
[lemma_unsnoc_snoc], which connects [snoc] and [unsnoc]. In
particular, if we had two arguments, then either the pattern would
either be too restrictive or would lead to over-triggering. More
context for this can be seen in the (collapsed and uncollapsed)
comments at https://github.com/FStarLang/FStar/pull/1560 *)
val snoc: (list 'a * 'a) -> Tot (list 'a)
let snoc (l, x) = append l [x]
(** [flatten l], where [l] is a list of lists, returns the list of the
elements of the lists in [l], preserving their order. Named as in:
OCaml, Coq. *)
val flatten: list (list 'a) -> Tot (list 'a)
let rec flatten l = match l with
| [] -> []
| hd::tl -> append hd (flatten tl)
(** [map f l] applies [f] to each element of [l] and returns the list
of results, in the order of the original elements in [l]. Requires, at
type-checking time, [f] to be a pure total function. Named as in: OCaml, Coq, F# *)
val map: ('a -> Tot 'b) -> list 'a -> Tot (list 'b)
let rec map f x = match x with
| [] -> []
| a::tl -> f a::map f tl
(** [mapi_init f l n] applies, for each [k], [f (n+k)] to the [k]-th
element of [l] and returns the list of results, in the order of the
original elements in [l]. Requires, at type-checking time, [f] to be a
pure total function. *)
val mapi_init: (int -> 'a -> Tot 'b) -> list 'a -> int -> Tot (list 'b)
let rec mapi_init f l i = match l with
| [] -> []
| hd::tl -> (f i hd)::(mapi_init f tl (i+1))
(** [mapi f l] applies, for each [k], [f k] to the [k]-th element of
[l] and returns the list of results, in the order of the original
elements in [l]. Requires, at type-checking time, [f] to be a pure
total function. Named as in: OCaml *)
val mapi: (int -> 'a -> Tot 'b) -> list 'a -> Tot (list 'b)
let mapi f l = mapi_init f l 0
(** [concatMap f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. This is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. *)
val concatMap: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec concatMap f = function
| [] -> []
| a::tl ->
let fa = f a in
let ftl = concatMap f tl in
append fa ftl
(** [fold_left f x [y1; y2; ...; yn]] computes (f (... (f x y1) y2)
... yn). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq. *)
val fold_left: ('a -> 'b -> Tot 'a) -> 'a -> l:list 'b -> Tot 'a (decreases l)
let rec fold_left f x l = match l with
| [] -> x
| hd::tl -> fold_left f (f x hd) tl
(** [fold_right f [x1; x2; ...; xn] y] computes (f x1 (f x2 (... (f xn
y)) ... )). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq *)
val fold_right: ('a -> 'b -> Tot 'b) -> list 'a -> 'b -> Tot 'b
let rec fold_right f l x = match l with
| [] -> x
| hd::tl -> f hd (fold_right f tl x)
(** [fold_right_gtot] is just like [fold_right], except `f` is
a ghost function **)
let rec fold_right_gtot (#a:Type) (#b:Type) (l:list a) (f:a -> b -> GTot b) (x:b)
: GTot b
= match l with
| [] -> x
| hd::tl -> f hd (fold_right_gtot tl f x)
(* We define map in terms of fold, to share simple lemmas *)
let map_gtot #a #b (f:a -> GTot b) (x:list a)
: GTot (list b)
= fold_right_gtot x (fun x tl -> f x :: tl) []
(** [fold_left2 f x [y1; y2; ...; yn] [z1; z2; ...; zn]] computes (f
(... (f x y1 z1) y2 z2) ... yn zn). Requires, at type-checking time,
[f] to be a pure total function, and the lists [y1; y2; ...; yn] and
[z1; z2; ...; zn] to have the same lengths. Named as in: OCaml *)
val fold_left2 : f:('a -> 'b -> 'c -> Tot 'a) -> accu:'a -> l1:(list 'b) -> l2:(list 'c) ->
Pure 'a (requires (length l1 == length l2)) (ensures (fun _ -> True)) (decreases l1)
let rec fold_left2 f accu l1 l2 =
match (l1, l2) with
| ([], []) -> accu
| (a1::l1, a2::l2) -> fold_left2 f (f accu a1 a2) l1 l2
(** Propositional membership (as in Coq). Does not require decidable
equality. *)
(** [memP x l] holds if, and only if, [x] appears as an
element of [l]. Similar to: List.In in Coq. *)
let rec memP (#a: Type) (x: a) (l: list a) : Tot Type0 =
match l with
| [] -> False
| y :: q -> x == y \/ memP x q
(** List searching **)
(** [mem x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. Named as in: OCaml. See also:
List.In in Coq, which is propositional. *)
val mem: #a:eqtype -> a -> list a -> Tot bool
let rec mem #a x = function
| [] -> false
| hd::tl -> if hd = x then true else mem x tl
(** [contains x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. It is equivalent to: [mem x
l]. TODO: should we rather swap the order of arguments? *)
let contains : #a:eqtype -> a -> list a -> Tot bool = mem
(** [existsb f l] returns [true] if, and only if, there exists some
element [x] in [l] such that [f x] holds. *)
val existsb: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot bool
let rec existsb #a f l = match l with
| [] -> false
| hd::tl -> if f hd then true else existsb f tl
(** [find f l] returns [Some x] for some element [x] appearing in [l]
such that [f x] holds, or [None] only if no such [x] exists. *)
val find: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot (option (x:a{f x}))
let rec find #a f l = match l with
| [] -> None #(x:a{f x}) //These type annotations are only present because it makes bootstrapping go much faster
| hd::tl -> if f hd then Some #(x:a{f x}) hd else find f tl
(** Filtering elements of a list [l] through a Boolean pure total
predicate [f] *)
(** [filter f l] returns [l] with all elements [x] such that [f x]
does not hold removed. Requires, at type-checking time, [f] to be a
pure total function. Named as in: OCaml, Coq *)
val filter : #a: Type -> f:(a -> Tot bool) -> l: list a -> Tot (m:list a{forall x. memP x m ==> f x})
let rec filter #a f = function
| [] -> []
| hd::tl -> if f hd then hd::filter f tl else filter f tl
(** Postcondition on [filter f l]: for any element [x] of [filter f l],
[f x] holds. Requires, at type-checking time, [f] to be a pure total
function.*)
val mem_filter (#a:Type) (f: (a -> Tot bool)) (l: list a) (x: a) : Lemma
(requires (memP x (filter f l)))
(ensures (f x))
let mem_filter f l x = ()
(** Postcondition on [filter f l]: stated with [forall]: for any element
[x] of [filter f l], [f x] holds. Requires, at type-checking time, [f]
to be a pure total function. *)
val mem_filter_forall (#a:Type) (f: (a -> Tot bool)) (l: list a) : Lemma
(requires True)
(ensures (forall x . memP x (filter f l) ==> f x))
[SMTPat (filter f l)]
let mem_filter_forall f l = FStar.Classical.ghost_lemma (mem_filter f l)
(** [for_all f l] returns [true] if, and only if, for all elements [x]
appearing in [l], [f x] holds. Requires, at type-checking time, [f] to
be a pure total function. Named as in: OCaml. Similar to: List.forallb
in Coq *)
val for_all: ('a -> Tot bool) -> list 'a -> Tot bool
let rec for_all f l = match l with
| [] -> true
| hd::tl -> if f hd then for_all f tl else false
(** Specification for [for_all f l] vs. mem *)
let rec for_all_mem
(#a: Type)
(f: (a -> Tot bool))
(l: list a)
: Lemma
(for_all f l <==> (forall x . memP x l ==> f x))
= match l with
| [] -> ()
| _ :: q -> for_all_mem f q
(** [collect f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. It is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. TODO: what is
the difference with [concatMap]? *)
val collect: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec collect f l = match l with
| [] -> []
| hd::tl -> append (f hd) (collect f tl)
(** [tryFind f l] returns [Some x] for some element [x] appearing in
[l] such that [f x] holds, or [None] only if no such [x]
exists. Requires, at type-checking time, [f] to be a pure total
function. Contrary to [find], [tryFind] provides no postcondition on
its result. *)
val tryFind: ('a -> Tot bool) -> list 'a -> Tot (option 'a)
let rec tryFind p l = match l with
| [] -> None
| hd::tl -> if p hd then Some hd else tryFind p tl
(** [tryPick f l] returns [y] for some element [x] appearing in [l]
such that [f x = Some y] for some y, or [None] only if [f x = None]
for all elements [x] of [l]. Requires, at type-checking time, [f] to
be a pure total function. *)
val tryPick: ('a -> Tot (option 'b)) -> list 'a -> Tot (option 'b)
let rec tryPick f l = match l with
| [] -> None
| hd::tl ->
match f hd with
| Some x -> Some x
| None -> tryPick f tl
(** [choose f l] returns the list of [y] for all elements [x]
appearing in [l] such that [f x = Some y] for some [y]. Requires, at
type-checking time, [f] to be a pure total function. *)
val choose: ('a -> Tot (option 'b)) -> list 'a -> Tot (list 'b)
let rec choose f l = match l with
| [] -> []
| hd::tl ->
match f hd with
| Some x -> x::(choose f tl)
| None -> choose f tl
(** [partition f l] returns the pair of lists [(l1, l2)] where all
elements [x] of [l] are in [l1] if [f x] holds, and in [l2]
otherwise. Both [l1] and [l2] retain the original order of
[l]. Requires, at type-checking time, [f] to be a pure total
function. *)
val partition: f:('a -> Tot bool) -> list 'a -> Tot (list 'a * list 'a)
let rec partition f = function
| [] -> [], []
| hd::tl ->
let l1, l2 = partition f tl in
if f hd
then hd::l1, l2
else l1, hd::l2
(** [subset la lb] is true if and only if all the elements from [la]
are also in [lb]. Requires, at type-checking time, the type of
elements of [la] and [lb] to have decidable equality. *)
val subset: #a:eqtype -> list a -> list a -> Tot bool
let rec subset #a la lb =
match la with
| [] -> true
| h :: tl -> mem h lb && subset tl lb
(** [noRepeats l] returns [true] if, and only if, no element of [l]
appears in [l] more than once. Requires, at type-checking time, the
type of elements of [la] and [lb] to have decidable equality. *)
val noRepeats : #a:eqtype -> list a -> Tot bool
let rec noRepeats #a la =
match la with
| [] -> true
| h :: tl -> not(mem h tl) && noRepeats tl
(** [no_repeats_p l] valid if, and only if, no element of [l]
appears in [l] more than once. *)
val no_repeats_p : #a:Type -> list a -> Tot prop
let rec no_repeats_p #a la =
match la with
| [] -> True
| h :: tl -> ~(memP h tl) /\ no_repeats_p tl
(** List of tuples **)
(** [assoc x l] returns [Some y] where [(x, y)] is the first element
of [l] whose first element is [x], or [None] only if no such element
exists. Requires, at type-checking time, the type of [x] to have
decidable equality. Named as in: OCaml. *)
val assoc: #a:eqtype -> #b:Type -> a -> list (a * b) -> Tot (option b)
let rec assoc #a #b x = function
| [] -> None
| (x', y)::tl -> if x=x' then Some y else assoc x tl
(** [split] takes a list of pairs [(x1, y1), ..., (xn, yn)] and
returns the pair of lists ([x1, ..., xn], [y1, ..., yn]). Named as in:
OCaml *)
val split: list ('a * 'b) -> Tot (list 'a * list 'b)
let rec split l = match l with
| [] -> ([],[])
| (hd1,hd2)::tl ->
let (tl1,tl2) = split tl in
(hd1::tl1,hd2::tl2)
(** [unzip] takes a list of pairs [(x1, y1), ..., (xn, yn)] and
returns the pair of lists ([x1, ..., xn], [y1, ..., yn]). Named as in:
Haskell *)
let unzip l = split l
(** [unzip3] takes a list of triples [(x1, y1, z1), ..., (xn, yn, zn)]
and returns the triple of lists ([x1, ..., xn], [y1, ..., yn], [z1,
..., zn]). Named as in: Haskell *)
val unzip3: list ('a * 'b * 'c) -> Tot (list 'a * list 'b * list 'c)
let rec unzip3 l = match l with
| [] -> ([],[],[])
| (hd1,hd2,hd3)::tl ->
let (tl1,tl2,tl3) = unzip3 tl in
(hd1::tl1,hd2::tl2,hd3::tl3)
(** Splitting a list at some index **)
(** [splitAt] takes a natural number n and a list and returns a pair
of the maximal prefix of l of size smaller than n and the rest of
the list *)
let rec splitAt (#a:Type) (n:nat) (l:list a) : Tot (list a * list a) =
if n = 0 then [], l
else
match l with
| [] -> [], l
| x :: xs -> let l1, l2 = splitAt (n-1) xs in x :: l1, l2
let rec lemma_splitAt_snd_length (#a:Type) (n:nat) (l:list a) :
Lemma
(requires (n <= length l))
(ensures (length (snd (splitAt n l)) = length l - n)) =
match n, l with
| 0, _ -> ()
| _, [] -> ()
| _, _ :: l' -> lemma_splitAt_snd_length (n - 1) l'
(** [unsnoc] is an inverse of [snoc]. It splits a list into
all-elements-except-last and last element. *)
val unsnoc: #a:Type -> l:list a{length l > 0} -> Tot (list a * a)
let unsnoc #a l =
let l1, l2 = splitAt (length l - 1) l in
lemma_splitAt_snd_length (length l - 1) l;
l1, hd l2
(** [split3] splits a list into 3 parts. This allows easy access to
the part of the list before and after the element, as well as the
element itself. *)
val split3: #a:Type -> l:list a -> i:nat{i < length l} -> Tot (list a * a * list a)
let split3 #a l i =
let a, rest = splitAt i l in
lemma_splitAt_snd_length i l;
let b :: c = rest in
a, b, c
(** Sorting (implemented as quicksort) **)
(** [partition] splits a list [l] into two lists, the sum of whose
lengths is the length of [l]. *)
val partition_length: f:('a -> Tot bool)
-> l:list 'a
-> Lemma (requires True)
(ensures (length (fst (partition f l))
+ length (snd (partition f l)) = length l))
let rec partition_length f l = match l with
| [] -> ()
| hd::tl -> partition_length f tl
(** [bool_of_compare] turns a comparison function into a strict
order. More precisely, [bool_of_compare compare x y] returns true
if, and only if, [compare x y] is negative, meaning [x] precedes
[y] in the ordering defined by compare.
This is used in sorting, and is defined to be consistent with
OCaml and F#, where sorting is performed in ascending order.
*)
val bool_of_compare : #a:Type -> (a -> a -> Tot int) -> a -> a -> Tot bool
let bool_of_compare #a f x y = f x y < 0
(** [compare_of_bool] turns a strict order into a comparison
function. More precisely, [compare_of_bool rel x y] returns a positive
number if, and only if, x `rel` y holds. Inspired from OCaml, where
polymorphic comparison using both the [compare] function and the (>)
infix operator are such that [compare x y] is positive if, and only
if, x > y. Requires, at type-checking time, [rel] to be a pure total
function. *)
val compare_of_bool : #a:eqtype -> (a -> a -> Tot bool) -> a -> a -> Tot int
let compare_of_bool #a rel x y =
if x `rel` y then -1
else if x = y then 0
else 1
let compare_of_bool_of_compare (#a:eqtype) (f:a -> a -> Tot bool)
: Lemma (forall x y. bool_of_compare (compare_of_bool f) x y == f x y)
= ()
(** [sortWith compare l] returns the list [l'] containing the elements
of [l] sorted along the comparison function [compare], in such a
way that if [compare x y > 0], then [x] appears before [y] in
[l']. Sorts in ascending order *)
val sortWith: ('a -> 'a -> Tot int) -> l:list 'a -> Tot (list 'a) (decreases (length l))
let rec sortWith f = function
| [] -> []
| pivot::tl ->
let hi, lo = partition (bool_of_compare f pivot) tl in
partition_length (bool_of_compare f pivot) tl;
append (sortWith f lo) (pivot::sortWith f hi)
(** A l1 is a strict suffix of l2. *)
let rec strict_suffix_of (#a: Type) (l1 l2: list a)
: Pure Type0
(requires True)
(ensures (fun _ -> True))
(decreases l2)
= match l2 with
| [] -> False
| _ :: q -> l1 == q \/ l1 `strict_suffix_of` q
[@@deprecated "This function was misnamed: Please use 'strict_suffix_of'"]
let strict_prefix_of = strict_suffix_of
val list_unref : #a:Type -> #p:(a -> Type0) -> list (x:a{p x}) -> Tot (list a)
let rec list_unref #a #p l =
match l with
| [] -> []
| x::xs -> x :: list_unref xs
val list_refb: #a:eqtype -> #p:(a -> Tot bool) ->
l:list a { for_all p l } ->
Tot (l':list (x:a{ p x }) {
length l = length l' /\ | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.List.Tot.Base.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"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 | l: Prims.list a {FStar.List.Tot.Base.for_all p l}
-> l':
Prims.list (x: a{p x})
{ FStar.List.Tot.Base.length l = FStar.List.Tot.Base.length l' /\
(forall (i:
Prims.nat{i < FStar.List.Tot.Base.length l /\ i < FStar.List.Tot.Base.length l'}).
{:pattern FStar.List.Tot.Base.index l i}
FStar.List.Tot.Base.index l i = FStar.List.Tot.Base.index l' i) } | Prims.Tot | [
"total"
] | [] | [
"Prims.eqtype",
"Prims.bool",
"Prims.list",
"Prims.b2t",
"FStar.List.Tot.Base.for_all",
"Prims.Cons",
"FStar.List.Tot.Base.list_refb",
"Prims.Nil",
"Prims.l_and",
"Prims.op_Equality",
"Prims.nat",
"FStar.List.Tot.Base.length",
"Prims.l_Forall",
"Prims.op_LessThan",
"FStar.List.Tot.Base.index"
] | [
"recursion"
] | false | false | false | false | false | let rec list_refb #a #p l =
| match l with
| hd :: tl -> hd :: list_refb #a #p tl
| [] -> [] | false |
Vale.PPC64LE.Memory_Sems.fst | Vale.PPC64LE.Memory_Sems.low_lemma_store_mem128_hi64 | val low_lemma_store_mem128_hi64 (b:buffer128) (i:nat) (v:nat64) (h:vale_heap) : Lemma
(requires
i < Seq.length (buffer_as_seq h b) /\
buffer_readable h b /\
buffer_writeable b
)
(ensures (
let v' = insert_nat64 (buffer_read b i h) v 1 in
let m = S.update_heap64 (buffer_addr b h + scale16 i + 8) v (get_heap h) in
is_machine_heap_update (get_heap h) m /\ upd_heap h m == buffer_write b i v' h)
) | val low_lemma_store_mem128_hi64 (b:buffer128) (i:nat) (v:nat64) (h:vale_heap) : Lemma
(requires
i < Seq.length (buffer_as_seq h b) /\
buffer_readable h b /\
buffer_writeable b
)
(ensures (
let v' = insert_nat64 (buffer_read b i h) v 1 in
let m = S.update_heap64 (buffer_addr b h + scale16 i + 8) v (get_heap h) in
is_machine_heap_update (get_heap h) m /\ upd_heap h m == buffer_write b i v' h)
) | let low_lemma_store_mem128_hi64 b i v h =
reveal_opaque (`%S.valid_addr128) S.valid_addr128;
let ptr = buffer_addr b h + scale16 i in
let v128 = buffer_read b i h in
let v' = insert_nat64 v128 v 1 in
low_lemma_load_mem128 b i h;
low_lemma_store_mem128 b i v' h;
assert (S.valid_addr128 ptr (get_heap h));
Vale.Arch.MachineHeap.update_heap32_get_heap32 ptr (get_heap h);
Vale.Arch.MachineHeap.update_heap32_get_heap32 (ptr+4) (get_heap h);
S.get_heap_val128_reveal ();
S.update_heap128_reveal ();
S.update_heap64_reveal ();
S.update_heap32_reveal ();
insert_nat64_reveal () | {
"file_name": "vale/code/arch/ppc64le/Vale.PPC64LE.Memory_Sems.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 24,
"end_line": 1122,
"start_col": 0,
"start_line": 1108
} | module Vale.PPC64LE.Memory_Sems
open FStar.Mul
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.Def.Words_s
module I = Vale.Interop
module S = Vale.PPC64LE.Semantics_s
module MB = LowStar.Monotonic.Buffer
module UV = LowStar.BufferView.Up
module DV = LowStar.BufferView.Down
open Vale.Lib.BufferViewHelpers
open Vale.Arch.HeapImpl
open Vale.Arch.Heap
friend Vale.PPC64LE.Memory
module IB = Vale.Interop.Base
let same_domain h m = Set.equal (IB.addrs_set (_ih h)) (Map.domain m)
let lemma_same_domains h m1 m2 = ()
let get_heap h = I.down_mem (_ih h)
let upd_heap h m = mi_heap_upd h m
//let lemma_upd_get_heap h = I.down_up_identity (_ih h)
let lemma_get_upd_heap h m = I.up_down_identity (_ih h) m
let lemma_heap_impl = ()
let lemma_heap_get_heap h = ()
let lemma_heap_taint h = ()
//let lemma_heap_upd_heap h mh mt = ()
[@"opaque_to_smt"]
let rec set_of_range (a:int) (n:nat) : Pure (Set.set int)
(requires True)
(ensures fun s -> (forall (i:int).{:pattern Set.mem i s} Set.mem i s <==> a <= i /\ i < a + n))
=
if n = 0 then Set.empty else Set.union (set_of_range a (n - 1)) (Set.singleton (a + n - 1))
let buffer_info_has_addr (bi:buffer_info) (a:int) =
let b = bi.bi_buffer in
let addr = Vale.Interop.Heap_s.global_addrs_map b in
let len = DV.length (get_downview b.bsrc) in
addr <= a /\ a < addr + len
let buffer_info_has_addr_opt (bi:option buffer_info) (a:int) =
match bi with
| None -> False
| Some bi -> buffer_info_has_addr bi a
#set-options "--z3rlimit 100"
let rec make_owns_rec (h:vale_heap) (bs:Seq.seq buffer_info) (n:nat{n <= Seq.length bs}) :
GTot ((int -> option (n:nat{n < Seq.length bs})) & (heaplet_id -> Set.set int))
=
if n = 0 then ((fun _ -> None), (fun _ -> Set.empty)) else
let (m0, s0) = make_owns_rec h bs (n - 1) in
let bi = Seq.index bs (n - 1) in
let b = bi.bi_buffer in
let hi = bi.bi_heaplet in
let addr = Vale.Interop.Heap_s.global_addrs_map b in
let len = DV.length (get_downview b.bsrc) in
let s_b = set_of_range addr len in
let s i = if i = hi then Set.union (s0 i) s_b else s0 i in
let m a = if addr <= a && a < addr + len then Some (n - 1) else m0 a in
(m, s)
[@"opaque_to_smt"]
let make_owns (h:vale_heap) (bs:Seq.seq buffer_info) (n:nat{n <= Seq.length bs}) :
GTot ((int -> option (n:nat{n < Seq.length bs})) & (heaplet_id -> Set.set int))
=
make_owns_rec h bs n
let rec lemma_make_owns (h:vale_heap) (bs:Seq.seq buffer_info) (n:nat) : Lemma
(requires
n <= Seq.length bs /\
(forall (i:nat).{:pattern Seq.index bs i} i < Seq.length bs ==> buffer_readable h (Seq.index bs i).bi_buffer) /\
(forall (i1 i2:nat).{:pattern (Seq.index bs i1); (Seq.index bs i2)}
i1 < Seq.length bs /\ i2 < Seq.length bs ==> buffer_info_disjoint (Seq.index bs i1) (Seq.index bs i2))
)
(ensures (
let (m, s) = make_owns h bs n in
(forall (i:heaplet_id) (a:int).{:pattern Set.mem a (s i)}
(Set.mem a (s i) <==> Option.mapTot (fun n -> (Seq.index bs n).bi_heaplet) (m a) == Some i) /\
(Set.mem a (s i) ==> buffer_info_has_addr_opt (Option.mapTot (fun n -> Seq.index bs n) (m a)) a) /\
(Set.mem a (s i) ==> Set.mem a (Map.domain h.mh))
) /\
(forall (k:nat) (a:int).{:pattern Set.mem a (s (Seq.index bs k).bi_heaplet)}
k < n /\ buffer_info_has_addr (Seq.index bs k) a ==> Set.mem a (s (Seq.index bs k).bi_heaplet))
))
=
reveal_opaque (`%make_owns) make_owns;
if n = 0 then () else
let _ = make_owns h bs (n - 1) in
let (m, s) = make_owns h bs n in
lemma_make_owns h bs (n - 1);
let bi = Seq.index bs (n - 1) in
let b = bi.bi_buffer in
let hi = bi.bi_heaplet in
let addr = Vale.Interop.Heap_s.global_addrs_map b in
let len = DV.length (get_downview b.bsrc) in
let s_b = set_of_range addr len in
let lem1 (a:int) : Lemma
(requires Set.mem a s_b)
(ensures Set.mem a (Map.domain h.mh))
[SMTPat (Set.mem a (Map.domain h.mh))]
=
I.addrs_set_mem h.ih b a
in
let lem2 (i:heaplet_id) (a:int) : Lemma
(requires i =!= hi /\ Set.mem a (Set.intersect s_b (s i)))
(ensures False)
[SMTPat (Set.mem a (s i))]
=
reveal_opaque (`%addr_map_pred) addr_map_pred
in
()
#push-options "--initial_fuel 1 --max_fuel 1 --initial_ifuel 2 --max_ifuel 2"
let rec lemma_loc_mutable_buffers_rec (l:list buffer_info) (s:Seq.seq buffer_info) (n:nat) : Lemma
(requires
n + List.length l == Seq.length s /\
list_to_seq_post l s n
)
(ensures (
let modloc = loc_mutable_buffers l in
forall (i:nat).{:pattern Seq.index s i} n <= i /\ i < Seq.length s ==> (
let bi = Seq.index s i in
bi.bi_mutable == Mutable ==> loc_includes modloc (loc_buffer bi.bi_buffer))
))
(decreases l)
=
match l with
| [] -> ()
| h::t -> lemma_loc_mutable_buffers_rec t s (n + 1)
#pop-options
let lemma_loc_mutable_buffers (l:list buffer_info) : Lemma
(ensures (
let s = list_to_seq l in
forall (i:nat).{:pattern Seq.index s i} i < Seq.length s ==> (
let bi = Seq.index s i in
bi.bi_mutable == Mutable ==> loc_includes (loc_mutable_buffers l) (loc_buffer bi.bi_buffer))
))
=
lemma_list_to_seq l;
lemma_loc_mutable_buffers_rec l (list_to_seq l) 0
let create_heaplets buffers h1 =
let bs = list_to_seq buffers in
let modloc = loc_mutable_buffers buffers in
let layout1 = h1.vf_layout in
let layin1 = layout1.vl_inner in
let (hmap, hsets) = make_owns h1.vf_heap bs (Seq.length bs) in
let hmap a = Option.mapTot (fun n -> (Seq.index bs n).bi_heaplet) (hmap a) in
let l = {
vl_heaplets_initialized = true;
vl_heaplet_map = hmap;
vl_heaplet_sets = hsets;
vl_old_heap = h1.vf_heap;
vl_buffers = bs;
vl_mod_loc = modloc;
} in
let layout2 = {layout1 with vl_inner = l} in
let h2 = {
vf_layout = layout2;
vf_heap = h1.vf_heap;
vf_heaplets = h1.vf_heaplets;
} in
h2
let lemma_create_heaplets buffers h1 =
let bs = list_to_seq buffers in
let h2 = create_heaplets buffers h1 in
assert (h2.vf_layout.vl_inner.vl_buffers == bs); // REVIEW: why is this necessary, even with extra ifuel?
lemma_make_owns h1.vf_heap bs (Seq.length bs);
lemma_loc_mutable_buffers buffers;
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
()
let destroy_heaplets h1 =
h1
let lemma_destroy_heaplets h1 =
()
val heap_shift (m1 m2:S.machine_heap) (base:int) (n:nat) : Lemma
(requires (forall i. 0 <= i /\ i < n ==> m1.[base + i] == m2.[base + i]))
(ensures (forall i. {:pattern (m1.[i])} base <= i /\ i < base + n ==> m1.[i] == m2.[i]))
#push-options "--smtencoding.l_arith_repr boxwrap"
let heap_shift m1 m2 base n =
assert (forall i. base <= i /\ i < base + n ==>
m1.[base + (i - base)] == m2.[base + (i - base)])
#pop-options
val same_mem_eq_slices64 (b:buffer64{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:nat64)
(k:nat{k < buffer_length b})
(h1:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h1))})
(h2:vale_heap{h2 == buffer_write b i v h1})
(mem1:S.machine_heap{IB.correct_down_p (_ih h1) mem1 b})
(mem2:S.machine_heap{IB.correct_down_p (_ih h2) mem2 b}) : Lemma
(requires (Seq.index (buffer_as_seq h1 b) k == Seq.index (buffer_as_seq h2 b) k))
(ensures (
k * 8 + 8 <= DV.length (get_downview b.bsrc) /\
Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h1)) (get_downview b.bsrc)) (k * 8) (k * 8 + 8) ==
Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h2)) (get_downview b.bsrc)) (k * 8) (k * 8 + 8)))
let same_mem_eq_slices64 b i v k h1 h2 mem1 mem2 =
let t = TUInt64 in
let db = get_downview b.bsrc in
let ub = UV.mk_buffer db (uint_view t) in
UV.as_seq_sel (IB.hs_of_mem (_ih h1)) ub k;
UV.as_seq_sel (IB.hs_of_mem (_ih h2)) ub k;
UV.put_sel (IB.hs_of_mem (_ih h1)) ub k;
UV.put_sel (IB.hs_of_mem (_ih h2)) ub k;
UV.length_eq ub
let length_up64 (b:buffer64) (h:vale_heap) (k:nat{k < buffer_length b}) (i:nat{i < 8}) : Lemma
(scale8 k + i <= DV.length (get_downview b.bsrc)) =
let vb = UV.mk_buffer (get_downview b.bsrc) uint64_view in
UV.length_eq vb
val same_mem_get_heap_val64 (b:buffer64{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:nat64)
(k:nat{k < buffer_length b})
(h1:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h1))})
(h2:vale_heap{h2 == buffer_write b i v h1})
(mem1:S.machine_heap{IB.correct_down_p (_ih h1) mem1 b})
(mem2:S.machine_heap{IB.correct_down_p (_ih h2) mem2 b}) : Lemma
(requires (Seq.index (buffer_as_seq h1 b) k == Seq.index (buffer_as_seq h2 b) k))
(ensures (let ptr = buffer_addr b h1 + scale8 k in
forall (x:int).{:pattern (mem1.[x])} ptr <= x /\ x < ptr + 8 ==> mem1.[x] == mem2.[x]))
let same_mem_get_heap_val64 b j v k h1 h2 mem1 mem2 =
let ptr = buffer_addr b h1 + scale8 k in
let addr = buffer_addr b h1 in
let aux (x:int{ptr <= x /\ x < ptr + 8}) : Lemma (mem1.[x] == mem2.[x]) =
let i = x - ptr in
let db = get_downview b.bsrc in
let ub = UV.mk_buffer db uint64_view in
UV.as_seq_sel (IB.hs_of_mem (_ih h1)) ub k;
UV.as_seq_sel (IB.hs_of_mem (_ih h2)) ub k;
same_mem_eq_slices64 b j v k h1 h2 mem1 mem2;
let s1 = (Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h1)) db) (k * 8) (k * 8 + 8)) in
let s2 = (Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h2)) db) (k * 8) (k * 8 + 8)) in
assert (Seq.index s1 i == Seq.index (DV.as_seq (IB.hs_of_mem (_ih h1)) db) (k * 8 + i));
length_up64 b h1 k i;
assert (mem1.[addr+(scale8 k + i)] == UInt8.v (Seq.index (DV.as_seq (IB.hs_of_mem (_ih h1)) db) (k * 8 + i)));
assert (Seq.index s2 i == Seq.index (DV.as_seq (IB.hs_of_mem (_ih h2)) db) (k * 8 + i));
length_up64 b h2 k i;
assert (mem2.[addr+(scale8 k + i)] == UInt8.v (Seq.index (DV.as_seq (IB.hs_of_mem (_ih h2)) db) (k * 8 + i)))
in
Classical.forall_intro aux;
assert (forall i. addr + (scale8 k + i) == ptr + i)
let rec written_buffer_down64_aux1
(b:buffer64{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:nat64)
(h:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h))})
(base:nat{base == buffer_addr b h})
(k:nat) (h1:vale_heap{h1 == buffer_write b i v h})
(mem1:S.machine_heap{IB.correct_down (_ih h) mem1})
(mem2:S.machine_heap{IB.correct_down (_ih h1) mem2 /\
(forall j.{:pattern (mem1.[j]) \/ (mem2.[j])}
base <= j /\ j < base + k * 8 ==>
mem1.[j] == mem2.[j])})
: Lemma
(ensures (forall j. {:pattern (mem1.[j]) \/ (mem1.[j])}
j >= base /\ j < base + scale8 i ==>
mem1.[j] == mem2.[j]))
(decreases %[i-k]) =
if k >= i then ()
else begin
let ptr = base + scale8 k in
same_mem_get_heap_val64 b i v k h h1 mem1 mem2;
heap_shift mem1 mem2 ptr 8;
written_buffer_down64_aux1 b i v h base (k+1) h1 mem1 mem2
end
let rec written_buffer_down64_aux2
(b:buffer64{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:nat64)
(h:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h))})
(base:nat{base == buffer_addr b h})
(n:nat{n == buffer_length b})
(k:nat{k > i}) (h1:vale_heap{h1 == buffer_write b i v h})
(mem1:S.machine_heap{IB.correct_down (_ih h) mem1})
(mem2:S.machine_heap{IB.correct_down (_ih h1) mem2 /\
(forall j. {:pattern (mem1.[j]) \/ (mem2.[j])}
base + scale8 (i+1) <= j /\ j < base + k * 8 ==>
mem1.[j] == mem2.[j])})
: Lemma
(ensures (forall j. {:pattern (mem1.[j]) \/ (mem2.[j])}
j >= base + scale8 (i+1) /\ j < base + scale8 n ==>
mem1.[j] == mem2.[j]))
(decreases %[n-k]) =
if k >= n then ()
else begin
let ptr = base + scale8 k in
same_mem_get_heap_val64 b i v k h h1 mem1 mem2;
heap_shift mem1 mem2 ptr 8;
written_buffer_down64_aux2 b i v h base n (k+1) h1 mem1 mem2
end
let written_buffer_down64 (b:buffer64{buffer_writeable b}) (i:nat{i < buffer_length b}) (v:nat64) (h:vale_heap)
: Lemma
(requires List.memP b (IB.ptrs_of_mem (_ih h)))
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
let n = buffer_length b in
forall j. {:pattern (mem1.[j]) \/ (mem2.[j])}
(base <= j /\ j < base + scale8 i) \/
(base + scale8 (i+1) <= j /\ j < base + scale8 n) ==>
mem1.[j] == mem2.[j]))
= let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
let n = buffer_length b in
written_buffer_down64_aux1 b i v h base 0 h1 mem1 mem2;
written_buffer_down64_aux2 b i v h base n (i+1) h1 mem1 mem2
let unwritten_buffer_down (t:base_typ) (b:buffer t{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:base_typ_as_vale_type t)
(h:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h))})
: Lemma
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
forall (a:b8{List.memP a (IB.ptrs_of_mem (_ih h)) /\ a =!= b}) j. {:pattern mem1.[j]; List.memP a (IB.ptrs_of_mem (_ih h)) \/ mem2.[j]; List.memP a (IB.ptrs_of_mem (_ih h))}
let base = (IB.addrs_of_mem (_ih h)) a in
j >= base /\ j < base + DV.length (get_downview a.bsrc) ==> mem1.[j] == mem2.[j]))
= let aux (a:b8{a =!= b /\ List.memP a (IB.ptrs_of_mem (_ih h))})
: Lemma
(ensures (
let base = (IB.addrs_of_mem (_ih h)) a in
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
forall j.
j >= base /\ j < base + DV.length (get_downview a.bsrc) ==>
mem1.[j] == mem2.[j]))
= let db = get_downview a.bsrc in
if DV.length db = 0 then ()
else
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = (IB.addrs_of_mem (_ih h)) a in
let s0 = DV.as_seq (IB.hs_of_mem (_ih h)) db in
let s1 = DV.as_seq (IB.hs_of_mem (_ih h1)) db in
opaque_assert (`%IB.list_disjoint_or_eq) IB.list_disjoint_or_eq IB.list_disjoint_or_eq_def (MB.disjoint a.bsrc b.bsrc);
lemma_dv_equal (IB.down_view a.src) a.bsrc (IB.hs_of_mem (_ih h)) (IB.hs_of_mem (_ih h1));
assert (Seq.equal s0 s1);
assert (forall (j:int).{:pattern (mem1.[j])}
base <= j /\ j < base + Seq.length s0 ==> v_to_typ TUInt8 (Seq.index s0 (j - base)) == mem1.[j]);
heap_shift mem1 mem2 base (DV.length db)
in
Classical.forall_intro aux
let store_buffer_down64_mem
(b:buffer64{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:nat64)
(h:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h))})
: Lemma
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
forall (j:int). {:pattern mem1.[j] \/ mem2.[j]}
j < base + scale8 i \/ j >= base + scale8 (i+1) ==>
mem1.[j] == mem2.[j]))
= let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
let n = buffer_length b in
let aux (j:int)
: Lemma
(j < base + scale8 i \/ j >= base + scale8 (i+1) ==>
mem1.[j] == mem2.[j])
=
I.addrs_set_lemma_all ();
if j >= base && j < base + DV.length (get_downview b.bsrc) then begin
written_buffer_down64 b i v h;
length_t_eq (TUInt64) b
end
else if not (I.valid_addr (_ih h) j)
then I.same_unspecified_down (IB.hs_of_mem (_ih h)) (IB.hs_of_mem (_ih h1)) (IB.ptrs_of_mem (_ih h))
else unwritten_buffer_down TUInt64 b i v h
in
Classical.forall_intro aux
let store_buffer_aux_down64_mem (ptr:int) (v:nat64) (h:vale_heap{writeable_mem64 ptr h})
: Lemma
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = store_mem (TUInt64) ptr v h in
let mem2 = I.down_mem (_ih h1) in
forall j. {:pattern mem1.[j] \/ mem2.[j]}
j < ptr \/ j >= ptr + 8 ==>
mem1.[j] == mem2.[j]))
= let t = TUInt64 in
let h1 = store_mem t ptr v h in
let b = Some?.v (find_writeable_buffer t ptr h) in
length_t_eq t b;
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
store_buffer_write t ptr v h;
assert (buffer_addr b h + scale8 i == ptr);
assert (buffer_addr b h + scale8 (i+1) == ptr + 8);
store_buffer_down64_mem b i v h
let store_buffer_aux_down64_mem2 (ptr:int) (v:nat64) (h:vale_heap{writeable_mem64 ptr h})
: Lemma
(ensures (
let h1 = store_mem (TUInt64) ptr v h in
let mem2 = I.down_mem (_ih h1) in
S.get_heap_val64 ptr mem2 == v))
= let t = TUInt64 in
let b = Some?.v (find_writeable_buffer t ptr h) in
length_t_eq t b;
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
let h1 = store_mem t ptr v h in
let mem2 = I.down_mem (_ih h1) in
store_buffer_write t ptr v h;
assert (Seq.index (buffer_as_seq h1 b) i == v);
index64_get_heap_val64 h1 b mem2 i
let in_bounds64 (h:vale_heap) (b:buffer64) (i:nat{i < buffer_length b})
: Lemma (scale8 i + 8 <= DV.length (get_downview b.bsrc))
=
length_t_eq TUInt64 b
let bytes_valid64 ptr h =
reveal_opaque (`%S.valid_addr64) S.valid_addr64;
let t = TUInt64 in
let b = get_addr_ptr t ptr h in
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
in_bounds64 h b i;
I.addrs_set_mem (_ih h) b ptr;
I.addrs_set_mem (_ih h) b (ptr+1);
I.addrs_set_mem (_ih h) b (ptr+2);
I.addrs_set_mem (_ih h) b (ptr+3);
I.addrs_set_mem (_ih h) b (ptr+4);
I.addrs_set_mem (_ih h) b (ptr+5);
I.addrs_set_mem (_ih h) b (ptr+6);
I.addrs_set_mem (_ih h) b (ptr+7)
val same_mem_get_heap_val128 (b:buffer128)
(i:nat{i < buffer_length b})
(v:quad32)
(k:nat{k < buffer_length b})
(h1:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h1)) /\ buffer_writeable b})
(h2:vale_heap{h2 == buffer_write b i v h1})
(mem1:S.machine_heap{IB.correct_down_p (_ih h1) mem1 b})
(mem2:S.machine_heap{IB.correct_down_p (_ih h2) mem2 b}) : Lemma
(requires (Seq.index (buffer_as_seq h1 b) k == Seq.index (buffer_as_seq h2 b) k))
(ensures (let ptr = buffer_addr b h1 + scale16 k in
forall i.{:pattern mem1.[i]} i >= ptr /\ i < ptr+16 ==> mem1.[i] == mem2.[i]))
val same_mem_eq_slices128 (b:buffer128)
(i:nat{i < buffer_length b})
(v:quad32)
(k:nat{k < buffer_length b})
(h1:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h1)) /\ buffer_writeable b})
(h2:vale_heap{h2 == buffer_write b i v h1})
(mem1:S.machine_heap{IB.correct_down_p (_ih h1) mem1 b})
(mem2:S.machine_heap{IB.correct_down_p (_ih h2) mem2 b}) : Lemma
(requires (Seq.index (buffer_as_seq h1 b) k == Seq.index (buffer_as_seq h2 b) k))
(ensures (
k * 16 + 16 <= DV.length (get_downview b.bsrc) /\
Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h1)) (get_downview b.bsrc)) (k * 16) (k * 16 + 16) ==
Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h2)) (get_downview b.bsrc)) (k * 16) (k * 16 + 16)))
let same_mem_eq_slices128 b i v k h1 h2 mem1 mem2 =
let t = TUInt128 in
let db = get_downview b.bsrc in
let ub = UV.mk_buffer db (uint_view t) in
UV.as_seq_sel (IB.hs_of_mem (_ih h1)) ub k;
UV.as_seq_sel (IB.hs_of_mem (_ih h2)) ub k;
UV.put_sel (IB.hs_of_mem (_ih h1)) ub k;
UV.put_sel (IB.hs_of_mem (_ih h2)) ub k;
UV.length_eq ub
let length_up128 (b:buffer128) (h:vale_heap) (k:nat{k < buffer_length b}) (i:nat{i < 16}) : Lemma
(scale16 k + i <= DV.length (get_downview b.bsrc)) =
let vb = UV.mk_buffer (get_downview b.bsrc) uint128_view in
UV.length_eq vb
let same_mem_get_heap_val128 b j v k h1 h2 mem1 mem2 =
let ptr = buffer_addr b h1 + scale16 k in
let addr = buffer_addr b h1 in
let aux (i:nat{ptr <= i /\ i < ptr+16}) : Lemma (mem1.[i] == mem2.[i]) =
let db = get_downview b.bsrc in
let ub = UV.mk_buffer db uint128_view in
UV.as_seq_sel (IB.hs_of_mem (_ih h1)) ub k;
UV.as_seq_sel (IB.hs_of_mem (_ih h2)) ub k;
same_mem_eq_slices128 b j v k h1 h2 mem1 mem2;
let s1 = (Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h1)) db) (k * 16) (k * 16 + 16)) in
let s2 = (Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h2)) db) (k * 16) (k * 16 + 16)) in
assert (Seq.index s1 (i - ptr) == Seq.index (DV.as_seq (IB.hs_of_mem (_ih h1)) db) (k * 16 + (i-ptr)));
length_up128 b h1 k (i-ptr);
assert (mem1.[i] == UInt8.v (Seq.index (DV.as_seq (IB.hs_of_mem (_ih h1)) db) (k * 16 + (i-ptr))));
assert (Seq.index s2 (i-ptr) == Seq.index (DV.as_seq (IB.hs_of_mem (_ih h2)) db) (k * 16 + (i-ptr)));
length_up128 b h2 k (i-ptr);
assert (mem2.[addr+(scale16 k + (i-ptr))] == UInt8.v (Seq.index (DV.as_seq (IB.hs_of_mem (_ih h2)) db) (k * 16 + (i-ptr))));
assert (forall i. addr + (scale16 k + (i-ptr)) == i)
in
Classical.forall_intro aux
let in_bounds128 (h:vale_heap) (b:buffer128) (i:nat{i < buffer_length b}) : Lemma
(scale16 i + 16 <= DV.length (get_downview b.bsrc))
=
length_t_eq TUInt128 b
#push-options "--z3rlimit 20"
#restart-solver
let bytes_valid128 ptr h =
reveal_opaque (`%S.valid_addr128) S.valid_addr128;
IB.list_disjoint_or_eq_reveal ();
let t = TUInt128 in
let b = get_addr_ptr t ptr h in
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
in_bounds128 h b i;
I.addrs_set_mem (_ih h) b ptr;
I.addrs_set_mem (_ih h) b (ptr+1);
I.addrs_set_mem (_ih h) b (ptr+2);
I.addrs_set_mem (_ih h) b (ptr+3);
I.addrs_set_mem (_ih h) b (ptr+4);
I.addrs_set_mem (_ih h) b (ptr+5);
I.addrs_set_mem (_ih h) b (ptr+6);
I.addrs_set_mem (_ih h) b (ptr+7);
I.addrs_set_mem (_ih h) b (ptr+8);
I.addrs_set_mem (_ih h) b (ptr+9);
I.addrs_set_mem (_ih h) b (ptr+10);
I.addrs_set_mem (_ih h) b (ptr+11);
I.addrs_set_mem (_ih h) b (ptr+12);
I.addrs_set_mem (_ih h) b (ptr+13);
I.addrs_set_mem (_ih h) b (ptr+14);
I.addrs_set_mem (_ih h) b (ptr+15)
#pop-options
let equiv_load_mem64 ptr h =
let t = TUInt64 in
let b = get_addr_ptr t ptr h in
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
let addr = buffer_addr b h in
let contents = DV.as_seq (_ih h).IB.hs (get_downview b.bsrc) in
let heap = get_heap h in
index64_get_heap_val64 h b heap i;
lemma_load_mem64 b i h
//let low_lemma_valid_mem64 b i h =
// lemma_valid_mem64 b i h;
// bytes_valid64 (buffer_addr b h + scale8 i) h
//let low_lemma_load_mem64 b i h =
// lemma_valid_mem64 b i h;
// lemma_load_mem64 b i h;
// equiv_load_mem64 (buffer_addr b h + scale8 i) h
//let same_domain_update64 b i v h =
// low_lemma_valid_mem64 b i h;
// Vale.Arch.MachineHeap.same_domain_update64 (buffer_addr b h + scale8 i) v (get_heap h)
open Vale.X64.BufferViewStore
let low_lemma_store_mem64_aux
(b:buffer64)
(heap:S.machine_heap)
(i:nat{i < buffer_length b})
(v:nat64)
(h:vale_heap{buffer_readable h b /\ buffer_writeable b})
: Lemma
(requires IB.correct_down_p (_ih h) heap b)
(ensures (let heap' = S.update_heap64 (buffer_addr b h + scale8 i) v heap in
let h' = store_mem64 (buffer_addr b h + scale8 i) v h in
(_ih h').IB.hs == DV.upd_seq (_ih h).IB.hs (get_downview b.bsrc) (I.get_seq_heap heap' (_ih h).IB.addrs b))) =
let ptr = buffer_addr b h + scale8 i in
let heap' = S.update_heap64 ptr v heap in
let h' = store_mem64 ptr v h in
lemma_store_mem64 b i v h;
length_t_eq TUInt64 b;
bv_upd_update_heap64 b heap i v (_ih h);
let db = get_downview b.bsrc in
let bv = UV.mk_buffer db Vale.Interop.Views.up_view64 in
assert (UV.upd (_ih h).IB.hs bv i (UInt64.uint_to_t v) == (_ih h').IB.hs)
val valid_state_store_mem64_aux: (i:nat) -> (v:nat64) -> (h:vale_heap) -> Lemma
(requires writeable_mem64 i h)
(ensures (
let heap = get_heap h in
let heap' = S.update_heap64 i v heap in
let h' = store_mem64 i v h in
heap' == I.down_mem (_ih h')
))
let valid_state_store_mem64_aux i v h =
let heap = get_heap h in
let heap' = S.update_heap64 i v heap in
let h1 = store_mem TUInt64 i v h in
store_buffer_aux_down64_mem i v h;
store_buffer_aux_down64_mem2 i v h;
let mem1 = heap' in
let mem2 = I.down_mem (_ih h1) in
let aux () : Lemma (forall j. mem1.[j] == mem2.[j]) =
Vale.Arch.MachineHeap.same_mem_get_heap_val64 i mem1 mem2;
Vale.Arch.MachineHeap.correct_update_get64 i v heap;
Vale.Arch.MachineHeap.frame_update_heap64 i v heap
in let aux2 () : Lemma (Set.equal (Map.domain mem1) (Map.domain mem2)) =
bytes_valid64 i h;
Vale.Arch.MachineHeap.same_domain_update64 i v heap
in aux(); aux2();
Map.lemma_equal_intro mem1 mem2
let low_lemma_load_mem64_full b i vfh t hid =
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
()
#push-options "--z3rlimit 20"
#restart-solver
let low_lemma_store_mem64 b i v h =
lemma_writeable_mem64 b i h;
lemma_store_mem64 b i v h;
valid_state_store_mem64_aux (buffer_addr b h + scale8 i) v h;
let heap = get_heap h in
let heap' = S.update_heap64 (buffer_addr b h + scale8 i) v heap in
low_lemma_store_mem64_aux b heap i v h;
Vale.Arch.MachineHeap.frame_update_heap64 (buffer_addr b h + scale8 i) v heap;
in_bounds64 h b i;
I.addrs_set_lemma_all ();
I.update_buffer_up_mem (_ih h) b heap heap'
#pop-options
#set-options "--z3rlimit 100"
#restart-solver
let lemma_is_full_update
(vfh:vale_full_heap) (h hk hk':vale_heap) (k:heaplet_id) (mh mh' mhk mhk':machine_heap) (mt mt':memtaint)
(t:base_typ) (b:buffer t) (ptr:int) (v_size:nat)
(index:nat) (v:base_typ_as_vale_type t) (tn:taint)
: Lemma
(requires
vfh.vf_layout.vl_inner.vl_heaplets_initialized /\
mem_inv vfh /\
buffer_readable hk b /\
buffer_writeable b /\
index < Seq.length (buffer_as_seq hk b) /\
mt == vfh.vf_layout.vl_taint /\
h == vfh.vf_heap /\
hk == Map16.sel vfh.vf_heaplets k /\
mh == h.mh /\
mhk == hk.mh /\
ptr == buffer_addr b hk + scale_by v_size index /\
mt' == S.update_n ptr v_size (heap_taint (coerce vfh)) tn /\
hk' == buffer_write b index v hk /\
valid_layout_buffer b vfh.vf_layout hk true /\
valid_taint_buf b hk mt tn /\
is_machine_heap_update mh mh' /\ upd_heap h mh' == buffer_write b index v h /\
is_machine_heap_update mhk mhk' /\ upd_heap hk mhk' == buffer_write b index v hk /\
(forall j.{:pattern mh.[j] \/ mh'.[j]} j < ptr \/ j >= ptr + v_size ==> mh.[j] == mh'.[j]) /\
(forall j.{:pattern mhk.[j] \/ mhk'.[j]} j < ptr \/ j >= ptr + v_size ==> mhk.[j] == mhk'.[j]) /\
0 <= scale_by v_size index /\ scale_by v_size index + v_size <= DV.length (get_downview b.bsrc) /\
(forall i.{:pattern mh'.[i] \/ mhk'.[i]} i >= ptr /\ i < ptr + v_size ==> mh'.[i] == mhk'.[i]) /\
True
)
(ensures is_full_update vfh hk' k mh' mt')
=
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
let vfh' = coerce (heap_upd (coerce vfh) mh' mt') in
let dom_upd = Set.intersect (vfh.vf_layout.vl_inner.vl_heaplet_sets k) (Map.domain mhk) in
let mhk'' = Map.concat mhk (Map.restrict dom_upd mh') in
assert (Map.equal mhk'' mhk');
let unchanged (j:heaplet_id) : Lemma
(requires j =!= k)
(ensures Map16.sel vfh'.vf_heaplets j == Map16.sel vfh.vf_heaplets j)
[SMTPat (Map16.sel vfh'.vf_heaplets j)]
=
assert (Map.equal (Map16.sel vfh'.vf_heaplets j).mh (Map16.sel vfh.vf_heaplets j).mh);
I.down_up_identity (Map16.sel vfh.vf_heaplets j).ih;
()
in
assert (Map16.equal vfh'.vf_heaplets (Map16.upd vfh.vf_heaplets k hk'));
assert (Map.equal mt' mt);
Vale.Interop.Heap_s.list_disjoint_or_eq_reveal ();
()
let low_lemma_store_mem64_full b i v vfh t hid =
let (h, mt, hk) = (vfh.vf_heap, vfh.vf_layout.vl_taint, Map16.get vfh.vf_heaplets hid) in
let ptr = buffer_addr b hk + scale8 i in
let mh' = S.update_heap64 ptr v (heap_get (coerce vfh)) in
let mt' = S.update_n ptr 8 (heap_taint (coerce vfh)) t in
let hk' = buffer_write b i v hk in
let mhk' = S.update_heap64 ptr v (get_heap hk) in
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
low_lemma_store_mem64 b i v h;
low_lemma_store_mem64 b i v (Map16.get vfh.vf_heaplets hid);
Vale.Arch.MachineHeap.frame_update_heap64 ptr v h.mh;
Vale.Arch.MachineHeap.frame_update_heap64 ptr v hk.mh;
in_bounds64 hk b i;
Vale.Arch.MachineHeap.same_mem_get_heap_val64 ptr mh' mhk';
lemma_is_full_update vfh h hk hk' hid h.mh mh' hk.mh mhk' mt mt' TUInt64 b ptr 8 i v t;
()
val low_lemma_valid_mem128 (b:buffer128) (i:nat) (h:vale_heap) : Lemma
(requires
i < Seq.length (buffer_as_seq h b) /\
buffer_readable h b
)
(ensures
S.valid_addr128 (buffer_addr b h + scale16 i) (get_heap h)
)
let low_lemma_valid_mem128 b i h =
lemma_valid_mem128 b i h;
bytes_valid128 (buffer_addr b h + scale16 i) h
val equiv_load_mem128_aux: (ptr:int) -> (h:vale_heap) -> Lemma
(requires valid_mem128 ptr h)
(ensures load_mem128 ptr h == S.get_heap_val128 ptr (get_heap h))
let equiv_load_mem128_aux ptr h =
let t = TUInt128 in
let b = get_addr_ptr t ptr h in
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
let addr = buffer_addr b h in
let contents = DV.as_seq (_ih h).IB.hs (get_downview b.bsrc) in
let heap = get_heap h in
S.get_heap_val128_reveal ();
index128_get_heap_val128 h b heap i;
lemma_load_mem128 b i h
let equiv_load_mem128 ptr h =
equiv_load_mem128_aux ptr h
val low_lemma_load_mem128 (b:buffer128) (i:nat) (h:vale_heap) : Lemma
(requires
i < Seq.length (buffer_as_seq h b) /\
buffer_readable h b
)
(ensures
S.get_heap_val128 (buffer_addr b h + scale16 i) (get_heap h) == buffer_read b i h
)
let low_lemma_load_mem128 b i h =
lemma_valid_mem128 b i h;
lemma_load_mem128 b i h;
equiv_load_mem128_aux (buffer_addr b h + scale16 i) h
//let same_domain_update128 b i v h =
// low_lemma_valid_mem128 b i h;
// Vale.Arch.MachineHeap.same_domain_update128 (buffer_addr b h + scale16 i) v (get_heap h)
let low_lemma_store_mem128_aux
(b:buffer128)
(heap:S.machine_heap)
(i:nat{i < buffer_length b})
(v:quad32)
(h:vale_heap{buffer_readable h b /\ buffer_writeable b})
: Lemma
(requires IB.correct_down_p (_ih h) heap b)
(ensures (let heap' = S.update_heap128 (buffer_addr b h + scale16 i) v heap in
let h' = store_mem128 (buffer_addr b h + scale16 i) v h in
(_ih h').IB.hs == DV.upd_seq (_ih h).IB.hs (get_downview b.bsrc) (I.get_seq_heap heap' (_ih h).IB.addrs b))) =
let ptr = buffer_addr b h + scale16 i in
let heap' = S.update_heap128 ptr v heap in
let h' = store_mem128 ptr v h in
lemma_store_mem128 b i v h;
length_t_eq TUInt128 b;
bv_upd_update_heap128 b heap i v (_ih h);
let db = get_downview b.bsrc in
let bv = UV.mk_buffer db Vale.Interop.Views.up_view128 in
assert (UV.upd (_ih h).IB.hs bv i v == (_ih h').IB.hs)
val valid_state_store_mem128_aux (i:int) (v:quad32) (h:vale_heap) : Lemma
(requires writeable_mem128 i h)
(ensures (
let heap = get_heap h in
let heap' = S.update_heap128 i v heap in
let h' = store_mem128 i v h in
heap' == I.down_mem (_ih h')
))
#restart-solver
let rec written_buffer_down128_aux1
(b:buffer128{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:quad32)
(h:vale_heap{List.memP b (_ih h).IB.ptrs})
(base:nat{base == buffer_addr b h})
(k:nat) (h1:vale_heap{h1 == buffer_write b i v h})
(mem1:S.machine_heap{IB.correct_down (_ih h) mem1})
(mem2:S.machine_heap{IB.correct_down (_ih h1) mem2 /\
(forall j.{:pattern (mem1.[j]) \/ (mem2.[j])}
base <= j /\ j < base + k * 16 ==>
mem1.[j] == mem2.[j])})
: Lemma
(ensures (forall j. {:pattern (mem1.[j]) \/ (mem1.[j])}
j >= base /\ j < base + scale16 i ==>
mem1.[j] == mem2.[j]))
(decreases %[i-k]) =
if k >= i then ()
else begin
let ptr = base + scale16 k in
same_mem_get_heap_val128 b i v k h h1 mem1 mem2;
heap_shift mem1 mem2 ptr 16;
written_buffer_down128_aux1 b i v h base (k+1) h1 mem1 mem2
end
#restart-solver
let rec written_buffer_down128_aux2
(b:buffer128{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:quad32)
(h:vale_heap{List.memP b (_ih h).IB.ptrs})
(base:nat{base == buffer_addr b h})
(n:nat{n == buffer_length b})
(k:nat{k > i}) (h1:vale_heap{h1 == buffer_write b i v h})
(mem1:S.machine_heap{IB.correct_down (_ih h) mem1})
(mem2:S.machine_heap{IB.correct_down (_ih h1) mem2 /\
(forall j. {:pattern (mem1.[j]) \/ (mem2.[j])}
base + scale16 (i+1) <= j /\ j < base + k * 16 ==>
mem1.[j] == mem2.[j])})
: Lemma
(ensures (forall j. {:pattern (mem1.[j]) \/ (mem2.[j])}
j >= base + scale16 (i+1) /\ j < base + scale16 n ==>
mem1.[j] == mem2.[j]))
(decreases %[n-k]) =
if k >= n then ()
else begin
let ptr = base + scale16 k in
same_mem_get_heap_val128 b i v k h h1 mem1 mem2;
heap_shift mem1 mem2 ptr 16;
written_buffer_down128_aux2 b i v h base n (k+1) h1 mem1 mem2
end
let written_buffer_down128 (b:buffer128) (i:nat{i < buffer_length b}) (v:quad32) (h:vale_heap)
: Lemma
(requires List.memP b (_ih h).IB.ptrs /\ buffer_writeable b)
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
let n = buffer_length b in
forall j. {:pattern (mem1.[j]) \/ (mem2.[j])}
(base <= j /\ j < base + scale16 i) \/
(base + scale16 (i+1) <= j /\ j < base + scale16 n) ==>
mem1.[j] == mem2.[j]))
= let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
let n = buffer_length b in
written_buffer_down128_aux1 b i v h base 0 h1 mem1 mem2;
written_buffer_down128_aux2 b i v h base n (i+1) h1 mem1 mem2
let store_buffer_down128_mem
(b:buffer128{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:quad32)
(h:vale_heap{List.memP b (_ih h).IB.ptrs})
: Lemma
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
forall (j:int). {:pattern mem1.[j] \/ mem2.[j]}
j < base + scale16 i \/ j >= base + scale16 (i+1) ==>
mem1.[j] == mem2.[j]))
= let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
let n = buffer_length b in
let aux (j:int)
: Lemma
(j < base + scale16 i \/ j >= base + scale16 (i+1) ==>
mem1.[j] == mem2.[j])
=
I.addrs_set_lemma_all ();
if j >= base && j < base + DV.length (get_downview b.bsrc) then begin
written_buffer_down128 b i v h;
length_t_eq TUInt128 b
end
else if not (I.valid_addr (_ih h) j)
then I.same_unspecified_down (_ih h).IB.hs (_ih h1).IB.hs (_ih h).IB.ptrs
else unwritten_buffer_down TUInt128 b i v h
in
Classical.forall_intro aux
let store_buffer_aux_down128_mem (ptr:int) (v:quad32) (h:vale_heap{writeable_mem128 ptr h})
: Lemma
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = store_mem TUInt128 ptr v h in
let mem2 = I.down_mem (_ih h1) in
forall j. {:pattern mem1.[j] \/ mem2.[j]}
j < ptr \/ j >= ptr + 16 ==>
mem1.[j] == mem2.[j]))
= let t = TUInt128 in
let h1 = store_mem t ptr v h in
let b = Some?.v (find_writeable_buffer t ptr h) in
length_t_eq t b;
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
store_buffer_write t ptr v h;
assert (buffer_addr b h + scale16 i == ptr);
assert (buffer_addr b h + scale16 (i+1) == ptr + 16);
store_buffer_down128_mem b i v h
let store_buffer_aux_down128_mem2 (ptr:int) (v:quad32) (h:vale_heap{writeable_mem128 ptr h})
: Lemma
(ensures (
let h1 = store_mem TUInt128 ptr v h in
let mem2 = I.down_mem (_ih h1) in
Mkfour
(S.get_heap_val32 ptr mem2)
(S.get_heap_val32 (ptr+4) mem2)
(S.get_heap_val32 (ptr+8) mem2)
(S.get_heap_val32 (ptr+12) mem2)
== v)) =
let t = TUInt128 in
let b = Some?.v (find_writeable_buffer t ptr h) in
length_t_eq t b;
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
let h1 = store_mem t ptr v h in
let mem2 = I.down_mem (_ih h1) in
store_buffer_write t ptr v h;
assert (Seq.index (buffer_as_seq h1 b) i == v);
index128_get_heap_val128 h1 b mem2 i
let valid_state_store_mem128_aux i v h =
let heap = get_heap h in
let heap' = S.update_heap128 i v heap in
let h1 = store_mem TUInt128 i v h in
store_buffer_aux_down128_mem i v h;
store_buffer_aux_down128_mem2 i v h;
let mem1 = heap' in
let mem2 = I.down_mem (_ih h1) in
let aux () : Lemma (forall j. mem1.[j] == mem2.[j]) =
Vale.Arch.MachineHeap.correct_update_get128 i v heap;
Vale.X64.Machine_Semantics_s.get_heap_val128_reveal ();
Vale.Arch.MachineHeap.same_mem_get_heap_val32 i mem1 mem2;
Vale.Arch.MachineHeap.same_mem_get_heap_val32 (i+4) mem1 mem2;
Vale.Arch.MachineHeap.same_mem_get_heap_val32 (i+8) mem1 mem2;
Vale.Arch.MachineHeap.same_mem_get_heap_val32 (i+12) mem1 mem2;
Vale.Arch.MachineHeap.frame_update_heap128 i v heap
in
let aux2 () : Lemma (Set.equal (Map.domain mem1) (Map.domain mem2)) =
bytes_valid128 i h;
Vale.Arch.MachineHeap.same_domain_update128 i v heap
in aux (); aux2 ();
Map.lemma_equal_intro mem1 mem2
let low_lemma_load_mem128_full b i vfh t hid =
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
()
let low_lemma_store_mem128 b i v h =
lemma_valid_mem128 b i h;
lemma_store_mem128 b i v h;
valid_state_store_mem128_aux (buffer_addr b h + scale16 i) v h;
let heap = get_heap h in
let heap' = S.update_heap128 (buffer_addr b h + scale16 i) v heap in
let h' = store_mem128 (buffer_addr b h + scale16 i) v h in
low_lemma_store_mem128_aux b heap i v h;
Vale.Arch.MachineHeap.frame_update_heap128 (buffer_addr b h + scale16 i) v heap;
in_bounds128 h b i;
I.addrs_set_lemma_all ();
I.update_buffer_up_mem (_ih h) b heap heap'
let low_lemma_store_mem128_full b i v vfh t hid =
let (h, mt, hk) = (vfh.vf_heap, vfh.vf_layout.vl_taint, Map16.get vfh.vf_heaplets hid) in
let ptr = buffer_addr b hk + scale16 i in
let mh' = S.update_heap128 ptr v (heap_get (coerce vfh)) in
let mt' = S.update_n ptr 16 (heap_taint (coerce vfh)) t in
let hk' = buffer_write b i v hk in
let mhk' = S.update_heap128 ptr v (get_heap hk) in
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
low_lemma_store_mem128 b i v h;
low_lemma_store_mem128 b i v (Map16.get vfh.vf_heaplets hid);
Vale.Arch.MachineHeap.frame_update_heap128 ptr v h.mh;
Vale.Arch.MachineHeap.frame_update_heap128 ptr v hk.mh;
in_bounds128 hk b i;
Vale.Arch.MachineHeap.same_mem_get_heap_val128 ptr mh' mhk';
lemma_is_full_update vfh h hk hk' hid h.mh mh' hk.mh mhk' mt mt' TUInt128 b ptr 16 i v t;
()
#push-options "--smtencoding.l_arith_repr boxwrap"
let low_lemma_valid_mem128_64 b i h =
reveal_opaque (`%S.valid_addr64) S.valid_addr64;
reveal_opaque (`%S.valid_addr128) S.valid_addr128;
low_lemma_valid_mem128 b i h;
let ptr = buffer_addr b h + scale16 i in
assert (buffer_addr b h + scale16 i + 8 = ptr + 8)
#pop-options
open Vale.Def.Words.Two_s
open Vale.Def.Words.Four_s
let low_lemma_load_mem128_lo64 b i h =
low_lemma_load_mem128 b i h;
lo64_reveal ();
S.get_heap_val128_reveal ();
S.get_heap_val64_reveal ();
S.get_heap_val32_reveal ()
let low_lemma_load_mem128_hi64 b i h =
low_lemma_load_mem128 b i h;
hi64_reveal ();
S.get_heap_val128_reveal ();
S.get_heap_val64_reveal ();
S.get_heap_val32_reveal ()
//let same_domain_update128_64 b i v h =
// low_lemma_valid_mem128_64 b i (_ih h);
// Vale.Arch.MachineHeap.same_domain_update64 (buffer_addr b h + scale16 i) v (get_heap h);
// Vale.Arch.MachineHeap.same_domain_update64 (buffer_addr b h + scale16 i + 8) v (get_heap h)
open Vale.Def.Types_s
let frame_get_heap32 (ptr:int) (mem1 mem2:S.machine_heap) : Lemma
(requires (forall i. i >= ptr /\ i < ptr + 4 ==> mem1.[i] == mem2.[i]))
(ensures S.get_heap_val32 ptr mem1 == S.get_heap_val32 ptr mem2) =
S.get_heap_val32_reveal ()
let update_heap128_lo (ptr:int) (v:quad32) (mem:S.machine_heap) : Lemma
(requires
S.valid_addr128 ptr mem /\
v.hi2 == S.get_heap_val32 (ptr+8) mem /\
v.hi3 == S.get_heap_val32 (ptr+12) mem
)
(ensures S.update_heap128 ptr v mem ==
S.update_heap32 (ptr+4) v.lo1 (S.update_heap32 ptr v.lo0 mem)) =
reveal_opaque (`%S.valid_addr128) S.valid_addr128;
S.update_heap128_reveal ();
let mem0 = S.update_heap32 ptr v.lo0 mem in
let mem1 = S.update_heap32 (ptr+4) v.lo1 mem0 in
Vale.Arch.MachineHeap.frame_update_heap32 ptr v.lo0 mem;
Vale.Arch.MachineHeap.frame_update_heap32 (ptr+4) v.lo1 mem0;
Vale.Arch.MachineHeap.same_domain_update32 ptr v.lo0 mem;
Vale.Arch.MachineHeap.same_domain_update32 (ptr+4) v.lo1 mem0;
frame_get_heap32 (ptr+8) mem mem1;
frame_get_heap32 (ptr+12) mem mem1;
Vale.Arch.MachineHeap.update_heap32_get_heap32 (ptr+8) mem1;
Vale.Arch.MachineHeap.update_heap32_get_heap32 (ptr+12) mem1
let low_lemma_load_mem128_lo_hi_full b i vfh t hid =
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
low_lemma_valid_mem128_64 b i vfh.vf_heap;
()
let low_lemma_store_mem128_lo64 b i v h =
let ptr = buffer_addr b h + scale16 i in
let v128 = buffer_read b i h in
let v' = insert_nat64 v128 v 0 in
low_lemma_load_mem128 b i h;
low_lemma_store_mem128 b i v' h;
S.get_heap_val128_reveal ();
update_heap128_lo ptr v' (get_heap h);
S.update_heap64_reveal ();
S.update_heap32_reveal ();
insert_nat64_reveal ()
let low_lemma_store_mem128_lo64_full b i v vfh t hid =
let (h, mt, hk) = (vfh.vf_heap, vfh.vf_layout.vl_taint, Map16.get vfh.vf_heaplets hid) in
let v' = insert_nat64 (buffer_read b i hk) v 0 in
let ptr = buffer_addr b hk + scale16 i in
let mh' = S.update_heap128 ptr v' (heap_get (coerce vfh)) in
let mt' = S.update_n ptr 16 (heap_taint (coerce vfh)) t in
let hk' = buffer_write b i v' hk in
let mhk' = S.update_heap128 ptr v' (get_heap hk) in
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
low_lemma_store_mem128 b i v' h;
low_lemma_store_mem128 b i v' (Map16.get vfh.vf_heaplets hid);
Vale.Arch.MachineHeap.frame_update_heap128 ptr v' h.mh;
Vale.Arch.MachineHeap.frame_update_heap128 ptr v' hk.mh;
in_bounds128 hk b i;
Vale.Arch.MachineHeap.same_mem_get_heap_val128 ptr mh' mhk';
lemma_is_full_update vfh h hk hk' hid h.mh mh' hk.mh mhk' mt mt' TUInt128 b ptr 16 i v' t;
low_lemma_store_mem128_lo64 b i v h;
low_lemma_valid_mem128_64 b i h;
assert (Map.equal mt (S.update_n (buffer_addr b h + scale16 i) 8 mt t));
()
#push-options "--z3rlimit 20 --using_facts_from '* -LowStar.Monotonic.Buffer.loc_disjoint_includes_r'" | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.BufferViewStore.fsti.checked",
"Vale.PPC64LE.Semantics_s.fst.checked",
"Vale.PPC64LE.Memory.fst.checked",
"Vale.PPC64LE.Memory.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.Lib.BufferViewHelpers.fst.checked",
"Vale.Interop.Views.fsti.checked",
"Vale.Interop.Heap_s.fst.checked",
"Vale.Interop.Base.fst.checked",
"Vale.Interop.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Two_s.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.MachineHeap.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.Arch.Heap.fsti.checked",
"prims.fst.checked",
"LowStar.Monotonic.Buffer.fsti.checked",
"LowStar.BufferView.Up.fsti.checked",
"LowStar.BufferView.Down.fsti.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt64.fsti.checked",
"FStar.Set.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Option.fst.checked",
"FStar.Mul.fst.checked",
"FStar.Map.fsti.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.PPC64LE.Memory_Sems.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Def.Words.Four_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words.Two_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.BufferViewStore",
"short_module": null
},
{
"abbrev": true,
"full_module": "Vale.Interop.Base",
"short_module": "IB"
},
{
"abbrev": false,
"full_module": "Vale.Lib.BufferViewHelpers",
"short_module": null
},
{
"abbrev": true,
"full_module": "LowStar.BufferView.Down",
"short_module": "DV"
},
{
"abbrev": true,
"full_module": "LowStar.BufferView.Up",
"short_module": "UV"
},
{
"abbrev": true,
"full_module": "LowStar.Monotonic.Buffer",
"short_module": "MB"
},
{
"abbrev": true,
"full_module": "Vale.Interop",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": true,
"full_module": "Vale.Lib.Map16",
"short_module": "Map16"
},
{
"abbrev": true,
"full_module": "Vale.PPC64LE.Semantics_s",
"short_module": "S"
},
{
"abbrev": false,
"full_module": "Vale.Lib.Seqs",
"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.Arch.MachineHeap_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Heap",
"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": "Vale.Def.Types_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.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.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": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
b: Vale.PPC64LE.Memory.buffer128 ->
i: Prims.nat ->
v: Vale.Def.Types_s.nat64 ->
h: Vale.Arch.HeapImpl.vale_heap
-> FStar.Pervasives.Lemma
(requires
i < FStar.Seq.Base.length (Vale.PPC64LE.Memory.buffer_as_seq h b) /\
Vale.PPC64LE.Memory.buffer_readable h b /\ Vale.PPC64LE.Memory.buffer_writeable b)
(ensures
(let v' = Vale.Def.Types_s.insert_nat64 (Vale.PPC64LE.Memory.buffer_read b i h) v 1 in
let m =
Vale.Arch.MachineHeap_s.update_heap64 (Vale.PPC64LE.Memory.buffer_addr b h +
Vale.PPC64LE.Memory.scale16 i +
8)
v
(Vale.PPC64LE.Memory_Sems.get_heap h)
in
Vale.Arch.MachineHeap_s.is_machine_heap_update (Vale.PPC64LE.Memory_Sems.get_heap h) m /\
Vale.PPC64LE.Memory_Sems.upd_heap h m == Vale.PPC64LE.Memory.buffer_write b i v' h)) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"Vale.PPC64LE.Memory.buffer128",
"Prims.nat",
"Vale.Def.Types_s.nat64",
"Vale.Arch.HeapImpl.vale_heap",
"Vale.Def.Types_s.insert_nat64_reveal",
"Prims.unit",
"Vale.Arch.MachineHeap_s.update_heap32_reveal",
"Vale.Arch.MachineHeap_s.update_heap64_reveal",
"Vale.Arch.MachineHeap_s.update_heap128_reveal",
"Vale.Arch.MachineHeap_s.get_heap_val128_reveal",
"Vale.Arch.MachineHeap.update_heap32_get_heap32",
"Prims.op_Addition",
"Vale.PPC64LE.Memory_Sems.get_heap",
"Prims._assert",
"Prims.b2t",
"Vale.Arch.MachineHeap_s.valid_addr128",
"Vale.PPC64LE.Memory_Sems.low_lemma_store_mem128",
"Vale.PPC64LE.Memory_Sems.low_lemma_load_mem128",
"Vale.Def.Types_s.quad32",
"Vale.Def.Types_s.insert_nat64",
"Vale.PPC64LE.Memory.base_typ_as_vale_type",
"Vale.Arch.HeapTypes_s.TUInt128",
"Vale.PPC64LE.Memory.buffer_read",
"Vale.PPC64LE.Memory.vuint128",
"Prims.int",
"Vale.PPC64LE.Memory.buffer_addr",
"Vale.PPC64LE.Memory.scale16",
"FStar.Pervasives.reveal_opaque",
"Vale.Arch.MachineHeap_s.machine_heap",
"Prims.bool"
] | [] | true | false | true | false | false | let low_lemma_store_mem128_hi64 b i v h =
| reveal_opaque (`%S.valid_addr128) S.valid_addr128;
let ptr = buffer_addr b h + scale16 i in
let v128 = buffer_read b i h in
let v' = insert_nat64 v128 v 1 in
low_lemma_load_mem128 b i h;
low_lemma_store_mem128 b i v' h;
assert (S.valid_addr128 ptr (get_heap h));
Vale.Arch.MachineHeap.update_heap32_get_heap32 ptr (get_heap h);
Vale.Arch.MachineHeap.update_heap32_get_heap32 (ptr + 4) (get_heap h);
S.get_heap_val128_reveal ();
S.update_heap128_reveal ();
S.update_heap64_reveal ();
S.update_heap32_reveal ();
insert_nat64_reveal () | false |
FStar.List.Tot.Base.fst | FStar.List.Tot.Base.partition_length | val partition_length: f:('a -> Tot bool)
-> l:list 'a
-> Lemma (requires True)
(ensures (length (fst (partition f l))
+ length (snd (partition f l)) = length l)) | val partition_length: f:('a -> Tot bool)
-> l:list 'a
-> Lemma (requires True)
(ensures (length (fst (partition f l))
+ length (snd (partition f l)) = length l)) | let rec partition_length f l = match l with
| [] -> ()
| hd::tl -> partition_length f tl | {
"file_name": "ulib/FStar.List.Tot.Base.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 35,
"end_line": 488,
"start_col": 0,
"start_line": 486
} | (*
Copyright 2008-2014 Nikhil Swamy and 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.
*)
(**
This module defines all pure and total operations on lists that can be
used in specifications. It is implemented by FStar_List_Tot_Base.ml, any
functional change and/or the addition of new functions MUST be reflected
there.
@summary Pure total operations on lists
*)
module FStar.List.Tot.Base
(**
Base operations
*)
(** [isEmpty l] returns [true] if and only if [l] is empty *)
val isEmpty: list 'a -> Tot bool
let isEmpty l = match l with
| [] -> true
| _ -> false
(** [hd l] returns the first element of [l]. Requires [l] to be
nonempty, at type-checking time. Named as in: OCaml, F#, Coq *)
val hd: l:list 'a{Cons? l} -> Tot 'a
let hd = function
| hd::_ -> hd
(** [tail l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Similar to: tl in OCaml, F#, Coq
*)
val tail: l:list 'a {Cons? l} -> Tot (list 'a)
let tail = function
| _::tl -> tl
(** [tl l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Named as in: OCaml, F#, Coq
*)
val tl: l:list 'a {Cons? l} -> Tot (list 'a)
let tl = tail
(** [last l] returns the last element of [l]. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val last: l:list 'a {Cons? l} -> Tot 'a
let rec last = function
| [hd] -> hd
| _::tl -> last tl
(** [init l] returns [l] without its last element. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val init: l:list 'a {Cons? l} -> Tot (list 'a)
let rec init = function
| [_] -> []
| hd::tl -> hd::(init tl)
(** [length l] returns the total number of elements in [l]. Named as
in: OCaml, F#, Coq *)
val length: list 'a -> Tot nat
let rec length = function
| [] -> 0
| _::tl -> 1 + length tl
(** [nth l n] returns the [n]-th element in list [l] (with the first
element being the 0-th) if [l] is long enough, or [None]
otherwise. Named as in: OCaml, F#, Coq *)
val nth: list 'a -> nat -> Tot (option 'a)
let rec nth l n = match l with
| [] -> None
| hd::tl -> if n = 0 then Some hd else nth tl (n - 1)
(** [index l n] returns the [n]-th element in list [l] (with the first
element being the 0-th). Requires, at type-checking time, that [l] be
of length at least [n+1]. *)
val index: #a:Type -> l:list a -> i:nat{i < length l} -> Tot a
let rec index #a (l: list a) (i:nat{i < length l}): Tot a =
if i = 0 then
hd l
else
index (tl l) (i - 1)
(** [count x l] returns the number of occurrences of [x] in
[l]. Requires, at type-checking time, the type of [a] to have equality
defined. Similar to: [List.count_occ] in Coq. *)
val count: #a:eqtype -> a -> list a -> Tot nat
let rec count #a x = function
| [] -> 0
| hd::tl -> if x=hd then 1 + count x tl else count x tl
(** [rev_acc l1 l2] appends the elements of [l1] to the beginning of
[l2], in reverse order. It is equivalent to [append (rev l1) l2], but
is tail-recursive. Similar to: [List.rev_append] in OCaml, Coq. *)
val rev_acc: list 'a -> list 'a -> Tot (list 'a)
let rec rev_acc l acc = match l with
| [] -> acc
| hd::tl -> rev_acc tl (hd::acc)
(** [rev l] returns the list [l] in reverse order. Named as in: OCaml,
F#, Coq. *)
val rev: list 'a -> Tot (list 'a)
let rev l = rev_acc l []
(** [append l1 l2] appends the elements of [l2] to the end of [l1]. Named as: OCaml, F#. Similar to: [List.app] in Coq. *)
val append: list 'a -> list 'a -> Tot (list 'a)
let rec append x y = match x with
| [] -> y
| a::tl -> a::append tl y
(** Defines notation [@@] for [append], as in OCaml, F# . *)
let op_At x y = append x y
(** [snoc (l, x)] adds [x] to the end of the list [l].
Note: We use an uncurried [snoc (l, x)] instead of the curried
[snoc l x]. This is intentional. If [snoc] takes a pair instead
of 2 arguments, it allows for a better pattern on
[lemma_unsnoc_snoc], which connects [snoc] and [unsnoc]. In
particular, if we had two arguments, then either the pattern would
either be too restrictive or would lead to over-triggering. More
context for this can be seen in the (collapsed and uncollapsed)
comments at https://github.com/FStarLang/FStar/pull/1560 *)
val snoc: (list 'a * 'a) -> Tot (list 'a)
let snoc (l, x) = append l [x]
(** [flatten l], where [l] is a list of lists, returns the list of the
elements of the lists in [l], preserving their order. Named as in:
OCaml, Coq. *)
val flatten: list (list 'a) -> Tot (list 'a)
let rec flatten l = match l with
| [] -> []
| hd::tl -> append hd (flatten tl)
(** [map f l] applies [f] to each element of [l] and returns the list
of results, in the order of the original elements in [l]. Requires, at
type-checking time, [f] to be a pure total function. Named as in: OCaml, Coq, F# *)
val map: ('a -> Tot 'b) -> list 'a -> Tot (list 'b)
let rec map f x = match x with
| [] -> []
| a::tl -> f a::map f tl
(** [mapi_init f l n] applies, for each [k], [f (n+k)] to the [k]-th
element of [l] and returns the list of results, in the order of the
original elements in [l]. Requires, at type-checking time, [f] to be a
pure total function. *)
val mapi_init: (int -> 'a -> Tot 'b) -> list 'a -> int -> Tot (list 'b)
let rec mapi_init f l i = match l with
| [] -> []
| hd::tl -> (f i hd)::(mapi_init f tl (i+1))
(** [mapi f l] applies, for each [k], [f k] to the [k]-th element of
[l] and returns the list of results, in the order of the original
elements in [l]. Requires, at type-checking time, [f] to be a pure
total function. Named as in: OCaml *)
val mapi: (int -> 'a -> Tot 'b) -> list 'a -> Tot (list 'b)
let mapi f l = mapi_init f l 0
(** [concatMap f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. This is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. *)
val concatMap: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec concatMap f = function
| [] -> []
| a::tl ->
let fa = f a in
let ftl = concatMap f tl in
append fa ftl
(** [fold_left f x [y1; y2; ...; yn]] computes (f (... (f x y1) y2)
... yn). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq. *)
val fold_left: ('a -> 'b -> Tot 'a) -> 'a -> l:list 'b -> Tot 'a (decreases l)
let rec fold_left f x l = match l with
| [] -> x
| hd::tl -> fold_left f (f x hd) tl
(** [fold_right f [x1; x2; ...; xn] y] computes (f x1 (f x2 (... (f xn
y)) ... )). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq *)
val fold_right: ('a -> 'b -> Tot 'b) -> list 'a -> 'b -> Tot 'b
let rec fold_right f l x = match l with
| [] -> x
| hd::tl -> f hd (fold_right f tl x)
(** [fold_right_gtot] is just like [fold_right], except `f` is
a ghost function **)
let rec fold_right_gtot (#a:Type) (#b:Type) (l:list a) (f:a -> b -> GTot b) (x:b)
: GTot b
= match l with
| [] -> x
| hd::tl -> f hd (fold_right_gtot tl f x)
(* We define map in terms of fold, to share simple lemmas *)
let map_gtot #a #b (f:a -> GTot b) (x:list a)
: GTot (list b)
= fold_right_gtot x (fun x tl -> f x :: tl) []
(** [fold_left2 f x [y1; y2; ...; yn] [z1; z2; ...; zn]] computes (f
(... (f x y1 z1) y2 z2) ... yn zn). Requires, at type-checking time,
[f] to be a pure total function, and the lists [y1; y2; ...; yn] and
[z1; z2; ...; zn] to have the same lengths. Named as in: OCaml *)
val fold_left2 : f:('a -> 'b -> 'c -> Tot 'a) -> accu:'a -> l1:(list 'b) -> l2:(list 'c) ->
Pure 'a (requires (length l1 == length l2)) (ensures (fun _ -> True)) (decreases l1)
let rec fold_left2 f accu l1 l2 =
match (l1, l2) with
| ([], []) -> accu
| (a1::l1, a2::l2) -> fold_left2 f (f accu a1 a2) l1 l2
(** Propositional membership (as in Coq). Does not require decidable
equality. *)
(** [memP x l] holds if, and only if, [x] appears as an
element of [l]. Similar to: List.In in Coq. *)
let rec memP (#a: Type) (x: a) (l: list a) : Tot Type0 =
match l with
| [] -> False
| y :: q -> x == y \/ memP x q
(** List searching **)
(** [mem x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. Named as in: OCaml. See also:
List.In in Coq, which is propositional. *)
val mem: #a:eqtype -> a -> list a -> Tot bool
let rec mem #a x = function
| [] -> false
| hd::tl -> if hd = x then true else mem x tl
(** [contains x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. It is equivalent to: [mem x
l]. TODO: should we rather swap the order of arguments? *)
let contains : #a:eqtype -> a -> list a -> Tot bool = mem
(** [existsb f l] returns [true] if, and only if, there exists some
element [x] in [l] such that [f x] holds. *)
val existsb: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot bool
let rec existsb #a f l = match l with
| [] -> false
| hd::tl -> if f hd then true else existsb f tl
(** [find f l] returns [Some x] for some element [x] appearing in [l]
such that [f x] holds, or [None] only if no such [x] exists. *)
val find: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot (option (x:a{f x}))
let rec find #a f l = match l with
| [] -> None #(x:a{f x}) //These type annotations are only present because it makes bootstrapping go much faster
| hd::tl -> if f hd then Some #(x:a{f x}) hd else find f tl
(** Filtering elements of a list [l] through a Boolean pure total
predicate [f] *)
(** [filter f l] returns [l] with all elements [x] such that [f x]
does not hold removed. Requires, at type-checking time, [f] to be a
pure total function. Named as in: OCaml, Coq *)
val filter : #a: Type -> f:(a -> Tot bool) -> l: list a -> Tot (m:list a{forall x. memP x m ==> f x})
let rec filter #a f = function
| [] -> []
| hd::tl -> if f hd then hd::filter f tl else filter f tl
(** Postcondition on [filter f l]: for any element [x] of [filter f l],
[f x] holds. Requires, at type-checking time, [f] to be a pure total
function.*)
val mem_filter (#a:Type) (f: (a -> Tot bool)) (l: list a) (x: a) : Lemma
(requires (memP x (filter f l)))
(ensures (f x))
let mem_filter f l x = ()
(** Postcondition on [filter f l]: stated with [forall]: for any element
[x] of [filter f l], [f x] holds. Requires, at type-checking time, [f]
to be a pure total function. *)
val mem_filter_forall (#a:Type) (f: (a -> Tot bool)) (l: list a) : Lemma
(requires True)
(ensures (forall x . memP x (filter f l) ==> f x))
[SMTPat (filter f l)]
let mem_filter_forall f l = FStar.Classical.ghost_lemma (mem_filter f l)
(** [for_all f l] returns [true] if, and only if, for all elements [x]
appearing in [l], [f x] holds. Requires, at type-checking time, [f] to
be a pure total function. Named as in: OCaml. Similar to: List.forallb
in Coq *)
val for_all: ('a -> Tot bool) -> list 'a -> Tot bool
let rec for_all f l = match l with
| [] -> true
| hd::tl -> if f hd then for_all f tl else false
(** Specification for [for_all f l] vs. mem *)
let rec for_all_mem
(#a: Type)
(f: (a -> Tot bool))
(l: list a)
: Lemma
(for_all f l <==> (forall x . memP x l ==> f x))
= match l with
| [] -> ()
| _ :: q -> for_all_mem f q
(** [collect f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. It is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. TODO: what is
the difference with [concatMap]? *)
val collect: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec collect f l = match l with
| [] -> []
| hd::tl -> append (f hd) (collect f tl)
(** [tryFind f l] returns [Some x] for some element [x] appearing in
[l] such that [f x] holds, or [None] only if no such [x]
exists. Requires, at type-checking time, [f] to be a pure total
function. Contrary to [find], [tryFind] provides no postcondition on
its result. *)
val tryFind: ('a -> Tot bool) -> list 'a -> Tot (option 'a)
let rec tryFind p l = match l with
| [] -> None
| hd::tl -> if p hd then Some hd else tryFind p tl
(** [tryPick f l] returns [y] for some element [x] appearing in [l]
such that [f x = Some y] for some y, or [None] only if [f x = None]
for all elements [x] of [l]. Requires, at type-checking time, [f] to
be a pure total function. *)
val tryPick: ('a -> Tot (option 'b)) -> list 'a -> Tot (option 'b)
let rec tryPick f l = match l with
| [] -> None
| hd::tl ->
match f hd with
| Some x -> Some x
| None -> tryPick f tl
(** [choose f l] returns the list of [y] for all elements [x]
appearing in [l] such that [f x = Some y] for some [y]. Requires, at
type-checking time, [f] to be a pure total function. *)
val choose: ('a -> Tot (option 'b)) -> list 'a -> Tot (list 'b)
let rec choose f l = match l with
| [] -> []
| hd::tl ->
match f hd with
| Some x -> x::(choose f tl)
| None -> choose f tl
(** [partition f l] returns the pair of lists [(l1, l2)] where all
elements [x] of [l] are in [l1] if [f x] holds, and in [l2]
otherwise. Both [l1] and [l2] retain the original order of
[l]. Requires, at type-checking time, [f] to be a pure total
function. *)
val partition: f:('a -> Tot bool) -> list 'a -> Tot (list 'a * list 'a)
let rec partition f = function
| [] -> [], []
| hd::tl ->
let l1, l2 = partition f tl in
if f hd
then hd::l1, l2
else l1, hd::l2
(** [subset la lb] is true if and only if all the elements from [la]
are also in [lb]. Requires, at type-checking time, the type of
elements of [la] and [lb] to have decidable equality. *)
val subset: #a:eqtype -> list a -> list a -> Tot bool
let rec subset #a la lb =
match la with
| [] -> true
| h :: tl -> mem h lb && subset tl lb
(** [noRepeats l] returns [true] if, and only if, no element of [l]
appears in [l] more than once. Requires, at type-checking time, the
type of elements of [la] and [lb] to have decidable equality. *)
val noRepeats : #a:eqtype -> list a -> Tot bool
let rec noRepeats #a la =
match la with
| [] -> true
| h :: tl -> not(mem h tl) && noRepeats tl
(** [no_repeats_p l] valid if, and only if, no element of [l]
appears in [l] more than once. *)
val no_repeats_p : #a:Type -> list a -> Tot prop
let rec no_repeats_p #a la =
match la with
| [] -> True
| h :: tl -> ~(memP h tl) /\ no_repeats_p tl
(** List of tuples **)
(** [assoc x l] returns [Some y] where [(x, y)] is the first element
of [l] whose first element is [x], or [None] only if no such element
exists. Requires, at type-checking time, the type of [x] to have
decidable equality. Named as in: OCaml. *)
val assoc: #a:eqtype -> #b:Type -> a -> list (a * b) -> Tot (option b)
let rec assoc #a #b x = function
| [] -> None
| (x', y)::tl -> if x=x' then Some y else assoc x tl
(** [split] takes a list of pairs [(x1, y1), ..., (xn, yn)] and
returns the pair of lists ([x1, ..., xn], [y1, ..., yn]). Named as in:
OCaml *)
val split: list ('a * 'b) -> Tot (list 'a * list 'b)
let rec split l = match l with
| [] -> ([],[])
| (hd1,hd2)::tl ->
let (tl1,tl2) = split tl in
(hd1::tl1,hd2::tl2)
(** [unzip] takes a list of pairs [(x1, y1), ..., (xn, yn)] and
returns the pair of lists ([x1, ..., xn], [y1, ..., yn]). Named as in:
Haskell *)
let unzip l = split l
(** [unzip3] takes a list of triples [(x1, y1, z1), ..., (xn, yn, zn)]
and returns the triple of lists ([x1, ..., xn], [y1, ..., yn], [z1,
..., zn]). Named as in: Haskell *)
val unzip3: list ('a * 'b * 'c) -> Tot (list 'a * list 'b * list 'c)
let rec unzip3 l = match l with
| [] -> ([],[],[])
| (hd1,hd2,hd3)::tl ->
let (tl1,tl2,tl3) = unzip3 tl in
(hd1::tl1,hd2::tl2,hd3::tl3)
(** Splitting a list at some index **)
(** [splitAt] takes a natural number n and a list and returns a pair
of the maximal prefix of l of size smaller than n and the rest of
the list *)
let rec splitAt (#a:Type) (n:nat) (l:list a) : Tot (list a * list a) =
if n = 0 then [], l
else
match l with
| [] -> [], l
| x :: xs -> let l1, l2 = splitAt (n-1) xs in x :: l1, l2
let rec lemma_splitAt_snd_length (#a:Type) (n:nat) (l:list a) :
Lemma
(requires (n <= length l))
(ensures (length (snd (splitAt n l)) = length l - n)) =
match n, l with
| 0, _ -> ()
| _, [] -> ()
| _, _ :: l' -> lemma_splitAt_snd_length (n - 1) l'
(** [unsnoc] is an inverse of [snoc]. It splits a list into
all-elements-except-last and last element. *)
val unsnoc: #a:Type -> l:list a{length l > 0} -> Tot (list a * a)
let unsnoc #a l =
let l1, l2 = splitAt (length l - 1) l in
lemma_splitAt_snd_length (length l - 1) l;
l1, hd l2
(** [split3] splits a list into 3 parts. This allows easy access to
the part of the list before and after the element, as well as the
element itself. *)
val split3: #a:Type -> l:list a -> i:nat{i < length l} -> Tot (list a * a * list a)
let split3 #a l i =
let a, rest = splitAt i l in
lemma_splitAt_snd_length i l;
let b :: c = rest in
a, b, c
(** Sorting (implemented as quicksort) **)
(** [partition] splits a list [l] into two lists, the sum of whose
lengths is the length of [l]. *)
val partition_length: f:('a -> Tot bool)
-> l:list 'a
-> Lemma (requires True)
(ensures (length (fst (partition f l)) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.List.Tot.Base.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"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 | f: (_: 'a -> Prims.bool) -> l: Prims.list 'a
-> FStar.Pervasives.Lemma
(ensures
FStar.List.Tot.Base.length (FStar.Pervasives.Native.fst (FStar.List.Tot.Base.partition f l)) +
FStar.List.Tot.Base.length (FStar.Pervasives.Native.snd (FStar.List.Tot.Base.partition f l)) =
FStar.List.Tot.Base.length l) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"Prims.bool",
"Prims.list",
"FStar.List.Tot.Base.partition_length",
"Prims.unit"
] | [
"recursion"
] | false | false | true | false | false | let rec partition_length f l =
| match l with
| [] -> ()
| hd :: tl -> partition_length f tl | false |
ConstructiveLogic.fst | ConstructiveLogic.ex2 | val ex2 : p: Prims.prop -> q: Prims.prop -> Prims.unit | let ex2 (p q : prop) =
assert (p ==> q ==> p)
by (let bp = implies_intro () in
let _ = implies_intro () in
hyp (binding_to_namedv bp);
qed ()) | {
"file_name": "examples/tactics/eci19/ConstructiveLogic.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 17,
"end_line": 89,
"start_col": 0,
"start_line": 84
} | module ConstructiveLogic
open FStar.Tactics.V2
(*
As you probably know by now, verification in F* works by first computing
verification conditions for terms, and then discharging them via the SMT
solver (when they are not trivial).
When a program fails to verify, the user can take one of many paths.
Firstly, one can increase the time limit of the SMT solver, or change
its configuration in the hope that the proof will go through. More
commonly, however, the programmer needs to give the SMT solver some
help in the form of new facts that it can use. We've seen examples of
this when we call lemmas within a function body in order to make it
verify. For instance, compare the following two examples (the first of
which fails).
*)
[@expect_failure]
let modulo_add_fail (p:pos) (a b c : int)
: Lemma (requires (b % p == c % p)) (ensures ((a + b) % p == (a + c) % p))
= ()
let modulo_add (p:pos) (a b c : int)
: Lemma (requires (b % p == c % p)) (ensures ((a + b) % p == (a + c) % p))
= FStar.Math.Lemmas.modulo_distributivity a b p;
FStar.Math.Lemmas.modulo_distributivity a c p
(*
This style of proving has two serious disadvantages. First, the goal
and set of hypotheses and not visible to the user, so proving usually
involves some trial and error. Second, there is no automation: the user
is responsible for writing all intermediate assertions and lemma calls,
which also clutter the proof/program.
With tactics, we can do better. We can inspect the "proof state",
i.e. the hypotheses we have and goal we have to solve, and implement
automated proof procedures. We can use tactics to do non-trivial proofs
without the SMT solver, or to simply give it some help when that's more
convenient. In this file we will mostly focus on the first alternative.
To get our feet wet, we will start with some simple examples of logical
propositions. The SMT is very good at this, but we will not use it at
all in the following examples.
Let us prove that implication is reflexive. We will use some tactics
from the `FStar.Tactics.Logic` module, in order to introduce the
implication and use the hypothesis.
When the goal is an implication, `implies_intro` will introduce the
implication and return a `binder` which represents the variable that was
pushed into the context. In the example, we use this `binder` to solve
the goal via `hyp`.
*)
let ex1 (p : prop) =
assert (p ==> p)
by (let b = implies_intro () in
hyp (binding_to_namedv b))
(*
The `qed` tactic checks that there are no more open goals when called,
or fails. We can use it here to check that we have fully solved the
assertion via tactics.
*)
(* This would fail with: (Error) user tactic failed: qed: not done! *)
//let _ =
// assert True
// by (qed ())
let ex1_qed (p : prop) =
assert (p ==> p)
by (let b = implies_intro () in
hyp (binding_to_namedv b);
qed ())
(* Exercise: add intermediate `dump` calls to see how the proofstate evolves *)
(* The following examples are somewhat similar, try to follow them by looking
at the proof states. *) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Tactics.Effect.fsti.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": false,
"source_file": "ConstructiveLogic.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"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 | p: Prims.prop -> q: Prims.prop -> Prims.unit | Prims.Tot | [
"total"
] | [] | [
"Prims.prop",
"FStar.Tactics.Effect.assert_by_tactic",
"Prims.l_imp",
"Prims.unit",
"FStar.Tactics.V2.Derived.qed",
"FStar.Tactics.V2.Logic.hyp",
"FStar.Tactics.V2.SyntaxCoercions.binding_to_namedv",
"FStar.Tactics.NamedView.binding",
"FStar.Tactics.V2.Logic.implies_intro"
] | [] | false | false | false | true | false | let ex2 (p q: prop) =
| FStar.Tactics.Effect.assert_by_tactic (p ==> q ==> p)
(fun _ ->
();
(let bp = implies_intro () in
let _ = implies_intro () in
hyp (binding_to_namedv bp);
qed ())) | false |
|
ConstructiveLogic.fst | ConstructiveLogic.ex1_qed | val ex1_qed : p: Prims.prop -> Prims.unit | let ex1_qed (p : prop) =
assert (p ==> p)
by (let b = implies_intro () in
hyp (binding_to_namedv b);
qed ()) | {
"file_name": "examples/tactics/eci19/ConstructiveLogic.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 17,
"end_line": 77,
"start_col": 0,
"start_line": 73
} | module ConstructiveLogic
open FStar.Tactics.V2
(*
As you probably know by now, verification in F* works by first computing
verification conditions for terms, and then discharging them via the SMT
solver (when they are not trivial).
When a program fails to verify, the user can take one of many paths.
Firstly, one can increase the time limit of the SMT solver, or change
its configuration in the hope that the proof will go through. More
commonly, however, the programmer needs to give the SMT solver some
help in the form of new facts that it can use. We've seen examples of
this when we call lemmas within a function body in order to make it
verify. For instance, compare the following two examples (the first of
which fails).
*)
[@expect_failure]
let modulo_add_fail (p:pos) (a b c : int)
: Lemma (requires (b % p == c % p)) (ensures ((a + b) % p == (a + c) % p))
= ()
let modulo_add (p:pos) (a b c : int)
: Lemma (requires (b % p == c % p)) (ensures ((a + b) % p == (a + c) % p))
= FStar.Math.Lemmas.modulo_distributivity a b p;
FStar.Math.Lemmas.modulo_distributivity a c p
(*
This style of proving has two serious disadvantages. First, the goal
and set of hypotheses and not visible to the user, so proving usually
involves some trial and error. Second, there is no automation: the user
is responsible for writing all intermediate assertions and lemma calls,
which also clutter the proof/program.
With tactics, we can do better. We can inspect the "proof state",
i.e. the hypotheses we have and goal we have to solve, and implement
automated proof procedures. We can use tactics to do non-trivial proofs
without the SMT solver, or to simply give it some help when that's more
convenient. In this file we will mostly focus on the first alternative.
To get our feet wet, we will start with some simple examples of logical
propositions. The SMT is very good at this, but we will not use it at
all in the following examples.
Let us prove that implication is reflexive. We will use some tactics
from the `FStar.Tactics.Logic` module, in order to introduce the
implication and use the hypothesis.
When the goal is an implication, `implies_intro` will introduce the
implication and return a `binder` which represents the variable that was
pushed into the context. In the example, we use this `binder` to solve
the goal via `hyp`.
*)
let ex1 (p : prop) =
assert (p ==> p)
by (let b = implies_intro () in
hyp (binding_to_namedv b))
(*
The `qed` tactic checks that there are no more open goals when called,
or fails. We can use it here to check that we have fully solved the
assertion via tactics.
*)
(* This would fail with: (Error) user tactic failed: qed: not done! *)
//let _ =
// assert True
// by (qed ()) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Tactics.Effect.fsti.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": false,
"source_file": "ConstructiveLogic.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"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 | p: Prims.prop -> Prims.unit | Prims.Tot | [
"total"
] | [] | [
"Prims.prop",
"FStar.Tactics.Effect.assert_by_tactic",
"Prims.l_imp",
"Prims.unit",
"FStar.Tactics.V2.Derived.qed",
"FStar.Tactics.V2.Logic.hyp",
"FStar.Tactics.V2.SyntaxCoercions.binding_to_namedv",
"FStar.Tactics.NamedView.binding",
"FStar.Tactics.V2.Logic.implies_intro"
] | [] | false | false | false | true | false | let ex1_qed (p: prop) =
| FStar.Tactics.Effect.assert_by_tactic (p ==> p)
(fun _ ->
();
(let b = implies_intro () in
hyp (binding_to_namedv b);
qed ())) | false |
|
Vale.X64.InsAes.fst | Vale.X64.InsAes.va_lemma_VAESNI_enc_last | val va_lemma_VAESNI_enc_last : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm ->
src1:va_operand_xmm -> src2:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_VAESNI_enc_last dst src1 src2) va_s0 /\ va_is_dst_xmm
dst va_s0 /\ va_is_src_xmm src1 va_s0 /\ va_is_src_xmm src2 va_s0 /\ va_get_ok va_s0 /\
(aesni_enabled /\ avx_enabled)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_common_s.sub_bytes
(Vale.AES.AES_s.shift_rows_LE (va_eval_xmm va_s0 src1))) (va_eval_xmm va_s0 src2) /\
va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM
va_s0))))) | val va_lemma_VAESNI_enc_last : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm ->
src1:va_operand_xmm -> src2:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_VAESNI_enc_last dst src1 src2) va_s0 /\ va_is_dst_xmm
dst va_s0 /\ va_is_src_xmm src1 va_s0 /\ va_is_src_xmm src2 va_s0 /\ va_get_ok va_s0 /\
(aesni_enabled /\ avx_enabled)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_common_s.sub_bytes
(Vale.AES.AES_s.shift_rows_LE (va_eval_xmm va_s0 src1))) (va_eval_xmm va_s0 src2) /\
va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM
va_s0))))) | let va_lemma_VAESNI_enc_last va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc_last) (va_code_VAESNI_enc_last dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2)))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg
src1) (OReg src2))) va_s0 in
(va_sM, va_fM) | {
"file_name": "obj/Vale.X64.InsAes.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 196,
"start_col": 0,
"start_line": 189
} | module Vale.X64.InsAes
open Vale.Def.Types_s
open Vale.X64.Machine_s
open Vale.X64
open Vale.X64.State
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.Decls
open Vale.X64.CPU_Features_s
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
module P = Vale.X64.Print_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 4 --max_fuel 4 --z3rlimit 20"
//-- Pclmulqdq
[@ "opaque_to_smt"]
let va_code_Pclmulqdq dst src dstHi srcHi =
(mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16 else 0)))
(OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_Pclmulqdq dst src dstHi srcHi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Pclmulqdq va_b0 va_s0 dst src dstHi srcHi =
va_reveal_opaque (`%va_code_Pclmulqdq) (va_code_Pclmulqdq dst src dstHi srcHi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16
else 0))) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) +
(if srcHi then 16 else 0))) (OReg dst) (OReg src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Pclmulqdq dst src dstHi srcHi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Pclmulqdq (va_code_Pclmulqdq dst src dstHi srcHi) va_s0 dst src
dstHi srcHi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VPclmulqdq
[@ "opaque_to_smt"]
let va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then 16 else 0)))
(OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VPclmulqdq va_b0 va_s0 dst src1 src2 src1Hi src2Hi =
va_reveal_opaque (`%va_code_VPclmulqdq) (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then
16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0)
+ (if src2Hi then 16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VPclmulqdq dst src1 src2 src1Hi src2Hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VPclmulqdq (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi) va_s0
dst src1 src2 src1Hi src2Hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc
[@ "opaque_to_smt"]
let va_code_AESNI_enc dst src =
(mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc) (va_code_AESNI_enc dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc (va_code_AESNI_enc dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc
[@ "opaque_to_smt"]
let va_code_VAESNI_enc dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc) (va_code_VAESNI_enc dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1)
(OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc (va_code_VAESNI_enc dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc_last
[@ "opaque_to_smt"]
let va_code_AESNI_enc_last dst src =
(mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc_last dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc_last va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc_last) (va_code_AESNI_enc_last dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg
src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc_last dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc_last (va_code_AESNI_enc_last dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc_last
[@ "opaque_to_smt"]
let va_code_VAESNI_enc_last dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc_last dst src1 src2 =
(va_ttrue ()) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.State.fsti.checked",
"Vale.X64.Print_s.fst.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.AES.AES_s.fst.checked",
"Vale.AES.AES_common_s.fst.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsAes.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Print_s",
"short_module": "P"
},
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"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.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"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": 4,
"initial_ifuel": 0,
"max_fuel": 4,
"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 |
va_b0: Vale.X64.Decls.va_code ->
va_s0: Vale.X64.Decls.va_state ->
dst: Vale.X64.Decls.va_operand_xmm ->
src1: Vale.X64.Decls.va_operand_xmm ->
src2: Vale.X64.Decls.va_operand_xmm
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.Decls.va_operand_xmm",
"Vale.X64.State.vale_state",
"Vale.X64.Lemmas.fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.tuple2",
"Prims.nat",
"Vale.X64.Decls.va_eval_ins",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.out",
"Vale.X64.Instruction_s.opXmm",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_VAESNI_enc_last",
"Vale.X64.Machine_s.OReg",
"Vale.X64.Machine_s.quad32",
"Vale.X64.Machine_s.reg_xmm",
"Prims.unit",
"Vale.X64.Decls.va_ins_lemma",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.InsAes.va_code_VAESNI_enc_last"
] | [] | false | false | false | false | false | let va_lemma_VAESNI_enc_last va_b0 va_s0 dst src1 src2 =
| va_reveal_opaque (`%va_code_VAESNI_enc_last) (va_code_VAESNI_enc_last dst src1 src2);
let va_old_s:va_state = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let va_sM, va_fM =
va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2))) va_s0
in
(va_sM, va_fM) | false |
Vale.PPC64LE.Memory_Sems.fst | Vale.PPC64LE.Memory_Sems.low_lemma_store_mem128_hi64_full | val low_lemma_store_mem128_hi64_full (b:buffer128) (i:nat) (v:nat64) (vfh:vale_full_heap) (t:taint) (hid:heaplet_id) : Lemma
(requires (
let (h, mt) = (Map16.get vfh.vf_heaplets hid, vfh.vf_layout.vl_taint) in
i < Seq.length (buffer_as_seq h b) /\
buffer_readable h b /\
buffer_writeable b /\
valid_layout_buffer b vfh.vf_layout h true /\
valid_taint_buf128 b h mt t /\
mem_inv vfh
))
(ensures (
let h = Map16.get vfh.vf_heaplets hid in
let ptr = buffer_addr b h + scale16 i + 8 in
let v' = insert_nat64 (buffer_read b i h) v 1 in
buffer_addr b vfh.vf_heap == buffer_addr b h /\
valid_addr64 ptr (heap_get (coerce vfh)) /\
is_full_update vfh (buffer_write b i v' h) hid
(S.update_heap64 ptr v (heap_get (coerce vfh)))
(S.update_n ptr 8 (heap_taint (coerce vfh)) t)
)) | val low_lemma_store_mem128_hi64_full (b:buffer128) (i:nat) (v:nat64) (vfh:vale_full_heap) (t:taint) (hid:heaplet_id) : Lemma
(requires (
let (h, mt) = (Map16.get vfh.vf_heaplets hid, vfh.vf_layout.vl_taint) in
i < Seq.length (buffer_as_seq h b) /\
buffer_readable h b /\
buffer_writeable b /\
valid_layout_buffer b vfh.vf_layout h true /\
valid_taint_buf128 b h mt t /\
mem_inv vfh
))
(ensures (
let h = Map16.get vfh.vf_heaplets hid in
let ptr = buffer_addr b h + scale16 i + 8 in
let v' = insert_nat64 (buffer_read b i h) v 1 in
buffer_addr b vfh.vf_heap == buffer_addr b h /\
valid_addr64 ptr (heap_get (coerce vfh)) /\
is_full_update vfh (buffer_write b i v' h) hid
(S.update_heap64 ptr v (heap_get (coerce vfh)))
(S.update_n ptr 8 (heap_taint (coerce vfh)) t)
)) | let low_lemma_store_mem128_hi64_full b i v vfh t hid =
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
let (h, mt, hk) = (vfh.vf_heap, vfh.vf_layout.vl_taint, Map16.get vfh.vf_heaplets hid) in
let v' = insert_nat64 (buffer_read b i h) v 1 in
let ptr = buffer_addr b hk + scale16 i in
let mh' = S.update_heap128 ptr v' (heap_get (coerce vfh)) in
let mt' = S.update_n ptr 16 (heap_taint (coerce vfh)) t in
let hk' = buffer_write b i v' hk in
let mhk' = S.update_heap128 ptr v' (get_heap hk) in
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
low_lemma_store_mem128 b i v' h;
low_lemma_store_mem128 b i v' (Map16.get vfh.vf_heaplets hid);
Vale.Arch.MachineHeap.frame_update_heap128 ptr v' h.mh;
Vale.Arch.MachineHeap.frame_update_heap128 ptr v' hk.mh;
in_bounds128 hk b i;
Vale.Arch.MachineHeap.same_mem_get_heap_val128 ptr mh' mhk';
lemma_is_full_update vfh h hk hk' hid h.mh mh' hk.mh mhk' mt mt' TUInt128 b ptr 16 i v' t;
low_lemma_store_mem128_hi64 b i v h;
low_lemma_valid_mem128_64 b i h;
assert (Map.equal mt (S.update_n (buffer_addr b h + 16 * i + 8) 8 mt t));
() | {
"file_name": "vale/code/arch/ppc64le/Vale.PPC64LE.Memory_Sems.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 4,
"end_line": 1145,
"start_col": 0,
"start_line": 1125
} | module Vale.PPC64LE.Memory_Sems
open FStar.Mul
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.Def.Words_s
module I = Vale.Interop
module S = Vale.PPC64LE.Semantics_s
module MB = LowStar.Monotonic.Buffer
module UV = LowStar.BufferView.Up
module DV = LowStar.BufferView.Down
open Vale.Lib.BufferViewHelpers
open Vale.Arch.HeapImpl
open Vale.Arch.Heap
friend Vale.PPC64LE.Memory
module IB = Vale.Interop.Base
let same_domain h m = Set.equal (IB.addrs_set (_ih h)) (Map.domain m)
let lemma_same_domains h m1 m2 = ()
let get_heap h = I.down_mem (_ih h)
let upd_heap h m = mi_heap_upd h m
//let lemma_upd_get_heap h = I.down_up_identity (_ih h)
let lemma_get_upd_heap h m = I.up_down_identity (_ih h) m
let lemma_heap_impl = ()
let lemma_heap_get_heap h = ()
let lemma_heap_taint h = ()
//let lemma_heap_upd_heap h mh mt = ()
[@"opaque_to_smt"]
let rec set_of_range (a:int) (n:nat) : Pure (Set.set int)
(requires True)
(ensures fun s -> (forall (i:int).{:pattern Set.mem i s} Set.mem i s <==> a <= i /\ i < a + n))
=
if n = 0 then Set.empty else Set.union (set_of_range a (n - 1)) (Set.singleton (a + n - 1))
let buffer_info_has_addr (bi:buffer_info) (a:int) =
let b = bi.bi_buffer in
let addr = Vale.Interop.Heap_s.global_addrs_map b in
let len = DV.length (get_downview b.bsrc) in
addr <= a /\ a < addr + len
let buffer_info_has_addr_opt (bi:option buffer_info) (a:int) =
match bi with
| None -> False
| Some bi -> buffer_info_has_addr bi a
#set-options "--z3rlimit 100"
let rec make_owns_rec (h:vale_heap) (bs:Seq.seq buffer_info) (n:nat{n <= Seq.length bs}) :
GTot ((int -> option (n:nat{n < Seq.length bs})) & (heaplet_id -> Set.set int))
=
if n = 0 then ((fun _ -> None), (fun _ -> Set.empty)) else
let (m0, s0) = make_owns_rec h bs (n - 1) in
let bi = Seq.index bs (n - 1) in
let b = bi.bi_buffer in
let hi = bi.bi_heaplet in
let addr = Vale.Interop.Heap_s.global_addrs_map b in
let len = DV.length (get_downview b.bsrc) in
let s_b = set_of_range addr len in
let s i = if i = hi then Set.union (s0 i) s_b else s0 i in
let m a = if addr <= a && a < addr + len then Some (n - 1) else m0 a in
(m, s)
[@"opaque_to_smt"]
let make_owns (h:vale_heap) (bs:Seq.seq buffer_info) (n:nat{n <= Seq.length bs}) :
GTot ((int -> option (n:nat{n < Seq.length bs})) & (heaplet_id -> Set.set int))
=
make_owns_rec h bs n
let rec lemma_make_owns (h:vale_heap) (bs:Seq.seq buffer_info) (n:nat) : Lemma
(requires
n <= Seq.length bs /\
(forall (i:nat).{:pattern Seq.index bs i} i < Seq.length bs ==> buffer_readable h (Seq.index bs i).bi_buffer) /\
(forall (i1 i2:nat).{:pattern (Seq.index bs i1); (Seq.index bs i2)}
i1 < Seq.length bs /\ i2 < Seq.length bs ==> buffer_info_disjoint (Seq.index bs i1) (Seq.index bs i2))
)
(ensures (
let (m, s) = make_owns h bs n in
(forall (i:heaplet_id) (a:int).{:pattern Set.mem a (s i)}
(Set.mem a (s i) <==> Option.mapTot (fun n -> (Seq.index bs n).bi_heaplet) (m a) == Some i) /\
(Set.mem a (s i) ==> buffer_info_has_addr_opt (Option.mapTot (fun n -> Seq.index bs n) (m a)) a) /\
(Set.mem a (s i) ==> Set.mem a (Map.domain h.mh))
) /\
(forall (k:nat) (a:int).{:pattern Set.mem a (s (Seq.index bs k).bi_heaplet)}
k < n /\ buffer_info_has_addr (Seq.index bs k) a ==> Set.mem a (s (Seq.index bs k).bi_heaplet))
))
=
reveal_opaque (`%make_owns) make_owns;
if n = 0 then () else
let _ = make_owns h bs (n - 1) in
let (m, s) = make_owns h bs n in
lemma_make_owns h bs (n - 1);
let bi = Seq.index bs (n - 1) in
let b = bi.bi_buffer in
let hi = bi.bi_heaplet in
let addr = Vale.Interop.Heap_s.global_addrs_map b in
let len = DV.length (get_downview b.bsrc) in
let s_b = set_of_range addr len in
let lem1 (a:int) : Lemma
(requires Set.mem a s_b)
(ensures Set.mem a (Map.domain h.mh))
[SMTPat (Set.mem a (Map.domain h.mh))]
=
I.addrs_set_mem h.ih b a
in
let lem2 (i:heaplet_id) (a:int) : Lemma
(requires i =!= hi /\ Set.mem a (Set.intersect s_b (s i)))
(ensures False)
[SMTPat (Set.mem a (s i))]
=
reveal_opaque (`%addr_map_pred) addr_map_pred
in
()
#push-options "--initial_fuel 1 --max_fuel 1 --initial_ifuel 2 --max_ifuel 2"
let rec lemma_loc_mutable_buffers_rec (l:list buffer_info) (s:Seq.seq buffer_info) (n:nat) : Lemma
(requires
n + List.length l == Seq.length s /\
list_to_seq_post l s n
)
(ensures (
let modloc = loc_mutable_buffers l in
forall (i:nat).{:pattern Seq.index s i} n <= i /\ i < Seq.length s ==> (
let bi = Seq.index s i in
bi.bi_mutable == Mutable ==> loc_includes modloc (loc_buffer bi.bi_buffer))
))
(decreases l)
=
match l with
| [] -> ()
| h::t -> lemma_loc_mutable_buffers_rec t s (n + 1)
#pop-options
let lemma_loc_mutable_buffers (l:list buffer_info) : Lemma
(ensures (
let s = list_to_seq l in
forall (i:nat).{:pattern Seq.index s i} i < Seq.length s ==> (
let bi = Seq.index s i in
bi.bi_mutable == Mutable ==> loc_includes (loc_mutable_buffers l) (loc_buffer bi.bi_buffer))
))
=
lemma_list_to_seq l;
lemma_loc_mutable_buffers_rec l (list_to_seq l) 0
let create_heaplets buffers h1 =
let bs = list_to_seq buffers in
let modloc = loc_mutable_buffers buffers in
let layout1 = h1.vf_layout in
let layin1 = layout1.vl_inner in
let (hmap, hsets) = make_owns h1.vf_heap bs (Seq.length bs) in
let hmap a = Option.mapTot (fun n -> (Seq.index bs n).bi_heaplet) (hmap a) in
let l = {
vl_heaplets_initialized = true;
vl_heaplet_map = hmap;
vl_heaplet_sets = hsets;
vl_old_heap = h1.vf_heap;
vl_buffers = bs;
vl_mod_loc = modloc;
} in
let layout2 = {layout1 with vl_inner = l} in
let h2 = {
vf_layout = layout2;
vf_heap = h1.vf_heap;
vf_heaplets = h1.vf_heaplets;
} in
h2
let lemma_create_heaplets buffers h1 =
let bs = list_to_seq buffers in
let h2 = create_heaplets buffers h1 in
assert (h2.vf_layout.vl_inner.vl_buffers == bs); // REVIEW: why is this necessary, even with extra ifuel?
lemma_make_owns h1.vf_heap bs (Seq.length bs);
lemma_loc_mutable_buffers buffers;
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
()
let destroy_heaplets h1 =
h1
let lemma_destroy_heaplets h1 =
()
val heap_shift (m1 m2:S.machine_heap) (base:int) (n:nat) : Lemma
(requires (forall i. 0 <= i /\ i < n ==> m1.[base + i] == m2.[base + i]))
(ensures (forall i. {:pattern (m1.[i])} base <= i /\ i < base + n ==> m1.[i] == m2.[i]))
#push-options "--smtencoding.l_arith_repr boxwrap"
let heap_shift m1 m2 base n =
assert (forall i. base <= i /\ i < base + n ==>
m1.[base + (i - base)] == m2.[base + (i - base)])
#pop-options
val same_mem_eq_slices64 (b:buffer64{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:nat64)
(k:nat{k < buffer_length b})
(h1:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h1))})
(h2:vale_heap{h2 == buffer_write b i v h1})
(mem1:S.machine_heap{IB.correct_down_p (_ih h1) mem1 b})
(mem2:S.machine_heap{IB.correct_down_p (_ih h2) mem2 b}) : Lemma
(requires (Seq.index (buffer_as_seq h1 b) k == Seq.index (buffer_as_seq h2 b) k))
(ensures (
k * 8 + 8 <= DV.length (get_downview b.bsrc) /\
Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h1)) (get_downview b.bsrc)) (k * 8) (k * 8 + 8) ==
Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h2)) (get_downview b.bsrc)) (k * 8) (k * 8 + 8)))
let same_mem_eq_slices64 b i v k h1 h2 mem1 mem2 =
let t = TUInt64 in
let db = get_downview b.bsrc in
let ub = UV.mk_buffer db (uint_view t) in
UV.as_seq_sel (IB.hs_of_mem (_ih h1)) ub k;
UV.as_seq_sel (IB.hs_of_mem (_ih h2)) ub k;
UV.put_sel (IB.hs_of_mem (_ih h1)) ub k;
UV.put_sel (IB.hs_of_mem (_ih h2)) ub k;
UV.length_eq ub
let length_up64 (b:buffer64) (h:vale_heap) (k:nat{k < buffer_length b}) (i:nat{i < 8}) : Lemma
(scale8 k + i <= DV.length (get_downview b.bsrc)) =
let vb = UV.mk_buffer (get_downview b.bsrc) uint64_view in
UV.length_eq vb
val same_mem_get_heap_val64 (b:buffer64{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:nat64)
(k:nat{k < buffer_length b})
(h1:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h1))})
(h2:vale_heap{h2 == buffer_write b i v h1})
(mem1:S.machine_heap{IB.correct_down_p (_ih h1) mem1 b})
(mem2:S.machine_heap{IB.correct_down_p (_ih h2) mem2 b}) : Lemma
(requires (Seq.index (buffer_as_seq h1 b) k == Seq.index (buffer_as_seq h2 b) k))
(ensures (let ptr = buffer_addr b h1 + scale8 k in
forall (x:int).{:pattern (mem1.[x])} ptr <= x /\ x < ptr + 8 ==> mem1.[x] == mem2.[x]))
let same_mem_get_heap_val64 b j v k h1 h2 mem1 mem2 =
let ptr = buffer_addr b h1 + scale8 k in
let addr = buffer_addr b h1 in
let aux (x:int{ptr <= x /\ x < ptr + 8}) : Lemma (mem1.[x] == mem2.[x]) =
let i = x - ptr in
let db = get_downview b.bsrc in
let ub = UV.mk_buffer db uint64_view in
UV.as_seq_sel (IB.hs_of_mem (_ih h1)) ub k;
UV.as_seq_sel (IB.hs_of_mem (_ih h2)) ub k;
same_mem_eq_slices64 b j v k h1 h2 mem1 mem2;
let s1 = (Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h1)) db) (k * 8) (k * 8 + 8)) in
let s2 = (Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h2)) db) (k * 8) (k * 8 + 8)) in
assert (Seq.index s1 i == Seq.index (DV.as_seq (IB.hs_of_mem (_ih h1)) db) (k * 8 + i));
length_up64 b h1 k i;
assert (mem1.[addr+(scale8 k + i)] == UInt8.v (Seq.index (DV.as_seq (IB.hs_of_mem (_ih h1)) db) (k * 8 + i)));
assert (Seq.index s2 i == Seq.index (DV.as_seq (IB.hs_of_mem (_ih h2)) db) (k * 8 + i));
length_up64 b h2 k i;
assert (mem2.[addr+(scale8 k + i)] == UInt8.v (Seq.index (DV.as_seq (IB.hs_of_mem (_ih h2)) db) (k * 8 + i)))
in
Classical.forall_intro aux;
assert (forall i. addr + (scale8 k + i) == ptr + i)
let rec written_buffer_down64_aux1
(b:buffer64{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:nat64)
(h:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h))})
(base:nat{base == buffer_addr b h})
(k:nat) (h1:vale_heap{h1 == buffer_write b i v h})
(mem1:S.machine_heap{IB.correct_down (_ih h) mem1})
(mem2:S.machine_heap{IB.correct_down (_ih h1) mem2 /\
(forall j.{:pattern (mem1.[j]) \/ (mem2.[j])}
base <= j /\ j < base + k * 8 ==>
mem1.[j] == mem2.[j])})
: Lemma
(ensures (forall j. {:pattern (mem1.[j]) \/ (mem1.[j])}
j >= base /\ j < base + scale8 i ==>
mem1.[j] == mem2.[j]))
(decreases %[i-k]) =
if k >= i then ()
else begin
let ptr = base + scale8 k in
same_mem_get_heap_val64 b i v k h h1 mem1 mem2;
heap_shift mem1 mem2 ptr 8;
written_buffer_down64_aux1 b i v h base (k+1) h1 mem1 mem2
end
let rec written_buffer_down64_aux2
(b:buffer64{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:nat64)
(h:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h))})
(base:nat{base == buffer_addr b h})
(n:nat{n == buffer_length b})
(k:nat{k > i}) (h1:vale_heap{h1 == buffer_write b i v h})
(mem1:S.machine_heap{IB.correct_down (_ih h) mem1})
(mem2:S.machine_heap{IB.correct_down (_ih h1) mem2 /\
(forall j. {:pattern (mem1.[j]) \/ (mem2.[j])}
base + scale8 (i+1) <= j /\ j < base + k * 8 ==>
mem1.[j] == mem2.[j])})
: Lemma
(ensures (forall j. {:pattern (mem1.[j]) \/ (mem2.[j])}
j >= base + scale8 (i+1) /\ j < base + scale8 n ==>
mem1.[j] == mem2.[j]))
(decreases %[n-k]) =
if k >= n then ()
else begin
let ptr = base + scale8 k in
same_mem_get_heap_val64 b i v k h h1 mem1 mem2;
heap_shift mem1 mem2 ptr 8;
written_buffer_down64_aux2 b i v h base n (k+1) h1 mem1 mem2
end
let written_buffer_down64 (b:buffer64{buffer_writeable b}) (i:nat{i < buffer_length b}) (v:nat64) (h:vale_heap)
: Lemma
(requires List.memP b (IB.ptrs_of_mem (_ih h)))
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
let n = buffer_length b in
forall j. {:pattern (mem1.[j]) \/ (mem2.[j])}
(base <= j /\ j < base + scale8 i) \/
(base + scale8 (i+1) <= j /\ j < base + scale8 n) ==>
mem1.[j] == mem2.[j]))
= let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
let n = buffer_length b in
written_buffer_down64_aux1 b i v h base 0 h1 mem1 mem2;
written_buffer_down64_aux2 b i v h base n (i+1) h1 mem1 mem2
let unwritten_buffer_down (t:base_typ) (b:buffer t{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:base_typ_as_vale_type t)
(h:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h))})
: Lemma
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
forall (a:b8{List.memP a (IB.ptrs_of_mem (_ih h)) /\ a =!= b}) j. {:pattern mem1.[j]; List.memP a (IB.ptrs_of_mem (_ih h)) \/ mem2.[j]; List.memP a (IB.ptrs_of_mem (_ih h))}
let base = (IB.addrs_of_mem (_ih h)) a in
j >= base /\ j < base + DV.length (get_downview a.bsrc) ==> mem1.[j] == mem2.[j]))
= let aux (a:b8{a =!= b /\ List.memP a (IB.ptrs_of_mem (_ih h))})
: Lemma
(ensures (
let base = (IB.addrs_of_mem (_ih h)) a in
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
forall j.
j >= base /\ j < base + DV.length (get_downview a.bsrc) ==>
mem1.[j] == mem2.[j]))
= let db = get_downview a.bsrc in
if DV.length db = 0 then ()
else
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = (IB.addrs_of_mem (_ih h)) a in
let s0 = DV.as_seq (IB.hs_of_mem (_ih h)) db in
let s1 = DV.as_seq (IB.hs_of_mem (_ih h1)) db in
opaque_assert (`%IB.list_disjoint_or_eq) IB.list_disjoint_or_eq IB.list_disjoint_or_eq_def (MB.disjoint a.bsrc b.bsrc);
lemma_dv_equal (IB.down_view a.src) a.bsrc (IB.hs_of_mem (_ih h)) (IB.hs_of_mem (_ih h1));
assert (Seq.equal s0 s1);
assert (forall (j:int).{:pattern (mem1.[j])}
base <= j /\ j < base + Seq.length s0 ==> v_to_typ TUInt8 (Seq.index s0 (j - base)) == mem1.[j]);
heap_shift mem1 mem2 base (DV.length db)
in
Classical.forall_intro aux
let store_buffer_down64_mem
(b:buffer64{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:nat64)
(h:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h))})
: Lemma
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
forall (j:int). {:pattern mem1.[j] \/ mem2.[j]}
j < base + scale8 i \/ j >= base + scale8 (i+1) ==>
mem1.[j] == mem2.[j]))
= let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
let n = buffer_length b in
let aux (j:int)
: Lemma
(j < base + scale8 i \/ j >= base + scale8 (i+1) ==>
mem1.[j] == mem2.[j])
=
I.addrs_set_lemma_all ();
if j >= base && j < base + DV.length (get_downview b.bsrc) then begin
written_buffer_down64 b i v h;
length_t_eq (TUInt64) b
end
else if not (I.valid_addr (_ih h) j)
then I.same_unspecified_down (IB.hs_of_mem (_ih h)) (IB.hs_of_mem (_ih h1)) (IB.ptrs_of_mem (_ih h))
else unwritten_buffer_down TUInt64 b i v h
in
Classical.forall_intro aux
let store_buffer_aux_down64_mem (ptr:int) (v:nat64) (h:vale_heap{writeable_mem64 ptr h})
: Lemma
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = store_mem (TUInt64) ptr v h in
let mem2 = I.down_mem (_ih h1) in
forall j. {:pattern mem1.[j] \/ mem2.[j]}
j < ptr \/ j >= ptr + 8 ==>
mem1.[j] == mem2.[j]))
= let t = TUInt64 in
let h1 = store_mem t ptr v h in
let b = Some?.v (find_writeable_buffer t ptr h) in
length_t_eq t b;
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
store_buffer_write t ptr v h;
assert (buffer_addr b h + scale8 i == ptr);
assert (buffer_addr b h + scale8 (i+1) == ptr + 8);
store_buffer_down64_mem b i v h
let store_buffer_aux_down64_mem2 (ptr:int) (v:nat64) (h:vale_heap{writeable_mem64 ptr h})
: Lemma
(ensures (
let h1 = store_mem (TUInt64) ptr v h in
let mem2 = I.down_mem (_ih h1) in
S.get_heap_val64 ptr mem2 == v))
= let t = TUInt64 in
let b = Some?.v (find_writeable_buffer t ptr h) in
length_t_eq t b;
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
let h1 = store_mem t ptr v h in
let mem2 = I.down_mem (_ih h1) in
store_buffer_write t ptr v h;
assert (Seq.index (buffer_as_seq h1 b) i == v);
index64_get_heap_val64 h1 b mem2 i
let in_bounds64 (h:vale_heap) (b:buffer64) (i:nat{i < buffer_length b})
: Lemma (scale8 i + 8 <= DV.length (get_downview b.bsrc))
=
length_t_eq TUInt64 b
let bytes_valid64 ptr h =
reveal_opaque (`%S.valid_addr64) S.valid_addr64;
let t = TUInt64 in
let b = get_addr_ptr t ptr h in
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
in_bounds64 h b i;
I.addrs_set_mem (_ih h) b ptr;
I.addrs_set_mem (_ih h) b (ptr+1);
I.addrs_set_mem (_ih h) b (ptr+2);
I.addrs_set_mem (_ih h) b (ptr+3);
I.addrs_set_mem (_ih h) b (ptr+4);
I.addrs_set_mem (_ih h) b (ptr+5);
I.addrs_set_mem (_ih h) b (ptr+6);
I.addrs_set_mem (_ih h) b (ptr+7)
val same_mem_get_heap_val128 (b:buffer128)
(i:nat{i < buffer_length b})
(v:quad32)
(k:nat{k < buffer_length b})
(h1:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h1)) /\ buffer_writeable b})
(h2:vale_heap{h2 == buffer_write b i v h1})
(mem1:S.machine_heap{IB.correct_down_p (_ih h1) mem1 b})
(mem2:S.machine_heap{IB.correct_down_p (_ih h2) mem2 b}) : Lemma
(requires (Seq.index (buffer_as_seq h1 b) k == Seq.index (buffer_as_seq h2 b) k))
(ensures (let ptr = buffer_addr b h1 + scale16 k in
forall i.{:pattern mem1.[i]} i >= ptr /\ i < ptr+16 ==> mem1.[i] == mem2.[i]))
val same_mem_eq_slices128 (b:buffer128)
(i:nat{i < buffer_length b})
(v:quad32)
(k:nat{k < buffer_length b})
(h1:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h1)) /\ buffer_writeable b})
(h2:vale_heap{h2 == buffer_write b i v h1})
(mem1:S.machine_heap{IB.correct_down_p (_ih h1) mem1 b})
(mem2:S.machine_heap{IB.correct_down_p (_ih h2) mem2 b}) : Lemma
(requires (Seq.index (buffer_as_seq h1 b) k == Seq.index (buffer_as_seq h2 b) k))
(ensures (
k * 16 + 16 <= DV.length (get_downview b.bsrc) /\
Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h1)) (get_downview b.bsrc)) (k * 16) (k * 16 + 16) ==
Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h2)) (get_downview b.bsrc)) (k * 16) (k * 16 + 16)))
let same_mem_eq_slices128 b i v k h1 h2 mem1 mem2 =
let t = TUInt128 in
let db = get_downview b.bsrc in
let ub = UV.mk_buffer db (uint_view t) in
UV.as_seq_sel (IB.hs_of_mem (_ih h1)) ub k;
UV.as_seq_sel (IB.hs_of_mem (_ih h2)) ub k;
UV.put_sel (IB.hs_of_mem (_ih h1)) ub k;
UV.put_sel (IB.hs_of_mem (_ih h2)) ub k;
UV.length_eq ub
let length_up128 (b:buffer128) (h:vale_heap) (k:nat{k < buffer_length b}) (i:nat{i < 16}) : Lemma
(scale16 k + i <= DV.length (get_downview b.bsrc)) =
let vb = UV.mk_buffer (get_downview b.bsrc) uint128_view in
UV.length_eq vb
let same_mem_get_heap_val128 b j v k h1 h2 mem1 mem2 =
let ptr = buffer_addr b h1 + scale16 k in
let addr = buffer_addr b h1 in
let aux (i:nat{ptr <= i /\ i < ptr+16}) : Lemma (mem1.[i] == mem2.[i]) =
let db = get_downview b.bsrc in
let ub = UV.mk_buffer db uint128_view in
UV.as_seq_sel (IB.hs_of_mem (_ih h1)) ub k;
UV.as_seq_sel (IB.hs_of_mem (_ih h2)) ub k;
same_mem_eq_slices128 b j v k h1 h2 mem1 mem2;
let s1 = (Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h1)) db) (k * 16) (k * 16 + 16)) in
let s2 = (Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h2)) db) (k * 16) (k * 16 + 16)) in
assert (Seq.index s1 (i - ptr) == Seq.index (DV.as_seq (IB.hs_of_mem (_ih h1)) db) (k * 16 + (i-ptr)));
length_up128 b h1 k (i-ptr);
assert (mem1.[i] == UInt8.v (Seq.index (DV.as_seq (IB.hs_of_mem (_ih h1)) db) (k * 16 + (i-ptr))));
assert (Seq.index s2 (i-ptr) == Seq.index (DV.as_seq (IB.hs_of_mem (_ih h2)) db) (k * 16 + (i-ptr)));
length_up128 b h2 k (i-ptr);
assert (mem2.[addr+(scale16 k + (i-ptr))] == UInt8.v (Seq.index (DV.as_seq (IB.hs_of_mem (_ih h2)) db) (k * 16 + (i-ptr))));
assert (forall i. addr + (scale16 k + (i-ptr)) == i)
in
Classical.forall_intro aux
let in_bounds128 (h:vale_heap) (b:buffer128) (i:nat{i < buffer_length b}) : Lemma
(scale16 i + 16 <= DV.length (get_downview b.bsrc))
=
length_t_eq TUInt128 b
#push-options "--z3rlimit 20"
#restart-solver
let bytes_valid128 ptr h =
reveal_opaque (`%S.valid_addr128) S.valid_addr128;
IB.list_disjoint_or_eq_reveal ();
let t = TUInt128 in
let b = get_addr_ptr t ptr h in
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
in_bounds128 h b i;
I.addrs_set_mem (_ih h) b ptr;
I.addrs_set_mem (_ih h) b (ptr+1);
I.addrs_set_mem (_ih h) b (ptr+2);
I.addrs_set_mem (_ih h) b (ptr+3);
I.addrs_set_mem (_ih h) b (ptr+4);
I.addrs_set_mem (_ih h) b (ptr+5);
I.addrs_set_mem (_ih h) b (ptr+6);
I.addrs_set_mem (_ih h) b (ptr+7);
I.addrs_set_mem (_ih h) b (ptr+8);
I.addrs_set_mem (_ih h) b (ptr+9);
I.addrs_set_mem (_ih h) b (ptr+10);
I.addrs_set_mem (_ih h) b (ptr+11);
I.addrs_set_mem (_ih h) b (ptr+12);
I.addrs_set_mem (_ih h) b (ptr+13);
I.addrs_set_mem (_ih h) b (ptr+14);
I.addrs_set_mem (_ih h) b (ptr+15)
#pop-options
let equiv_load_mem64 ptr h =
let t = TUInt64 in
let b = get_addr_ptr t ptr h in
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
let addr = buffer_addr b h in
let contents = DV.as_seq (_ih h).IB.hs (get_downview b.bsrc) in
let heap = get_heap h in
index64_get_heap_val64 h b heap i;
lemma_load_mem64 b i h
//let low_lemma_valid_mem64 b i h =
// lemma_valid_mem64 b i h;
// bytes_valid64 (buffer_addr b h + scale8 i) h
//let low_lemma_load_mem64 b i h =
// lemma_valid_mem64 b i h;
// lemma_load_mem64 b i h;
// equiv_load_mem64 (buffer_addr b h + scale8 i) h
//let same_domain_update64 b i v h =
// low_lemma_valid_mem64 b i h;
// Vale.Arch.MachineHeap.same_domain_update64 (buffer_addr b h + scale8 i) v (get_heap h)
open Vale.X64.BufferViewStore
let low_lemma_store_mem64_aux
(b:buffer64)
(heap:S.machine_heap)
(i:nat{i < buffer_length b})
(v:nat64)
(h:vale_heap{buffer_readable h b /\ buffer_writeable b})
: Lemma
(requires IB.correct_down_p (_ih h) heap b)
(ensures (let heap' = S.update_heap64 (buffer_addr b h + scale8 i) v heap in
let h' = store_mem64 (buffer_addr b h + scale8 i) v h in
(_ih h').IB.hs == DV.upd_seq (_ih h).IB.hs (get_downview b.bsrc) (I.get_seq_heap heap' (_ih h).IB.addrs b))) =
let ptr = buffer_addr b h + scale8 i in
let heap' = S.update_heap64 ptr v heap in
let h' = store_mem64 ptr v h in
lemma_store_mem64 b i v h;
length_t_eq TUInt64 b;
bv_upd_update_heap64 b heap i v (_ih h);
let db = get_downview b.bsrc in
let bv = UV.mk_buffer db Vale.Interop.Views.up_view64 in
assert (UV.upd (_ih h).IB.hs bv i (UInt64.uint_to_t v) == (_ih h').IB.hs)
val valid_state_store_mem64_aux: (i:nat) -> (v:nat64) -> (h:vale_heap) -> Lemma
(requires writeable_mem64 i h)
(ensures (
let heap = get_heap h in
let heap' = S.update_heap64 i v heap in
let h' = store_mem64 i v h in
heap' == I.down_mem (_ih h')
))
let valid_state_store_mem64_aux i v h =
let heap = get_heap h in
let heap' = S.update_heap64 i v heap in
let h1 = store_mem TUInt64 i v h in
store_buffer_aux_down64_mem i v h;
store_buffer_aux_down64_mem2 i v h;
let mem1 = heap' in
let mem2 = I.down_mem (_ih h1) in
let aux () : Lemma (forall j. mem1.[j] == mem2.[j]) =
Vale.Arch.MachineHeap.same_mem_get_heap_val64 i mem1 mem2;
Vale.Arch.MachineHeap.correct_update_get64 i v heap;
Vale.Arch.MachineHeap.frame_update_heap64 i v heap
in let aux2 () : Lemma (Set.equal (Map.domain mem1) (Map.domain mem2)) =
bytes_valid64 i h;
Vale.Arch.MachineHeap.same_domain_update64 i v heap
in aux(); aux2();
Map.lemma_equal_intro mem1 mem2
let low_lemma_load_mem64_full b i vfh t hid =
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
()
#push-options "--z3rlimit 20"
#restart-solver
let low_lemma_store_mem64 b i v h =
lemma_writeable_mem64 b i h;
lemma_store_mem64 b i v h;
valid_state_store_mem64_aux (buffer_addr b h + scale8 i) v h;
let heap = get_heap h in
let heap' = S.update_heap64 (buffer_addr b h + scale8 i) v heap in
low_lemma_store_mem64_aux b heap i v h;
Vale.Arch.MachineHeap.frame_update_heap64 (buffer_addr b h + scale8 i) v heap;
in_bounds64 h b i;
I.addrs_set_lemma_all ();
I.update_buffer_up_mem (_ih h) b heap heap'
#pop-options
#set-options "--z3rlimit 100"
#restart-solver
let lemma_is_full_update
(vfh:vale_full_heap) (h hk hk':vale_heap) (k:heaplet_id) (mh mh' mhk mhk':machine_heap) (mt mt':memtaint)
(t:base_typ) (b:buffer t) (ptr:int) (v_size:nat)
(index:nat) (v:base_typ_as_vale_type t) (tn:taint)
: Lemma
(requires
vfh.vf_layout.vl_inner.vl_heaplets_initialized /\
mem_inv vfh /\
buffer_readable hk b /\
buffer_writeable b /\
index < Seq.length (buffer_as_seq hk b) /\
mt == vfh.vf_layout.vl_taint /\
h == vfh.vf_heap /\
hk == Map16.sel vfh.vf_heaplets k /\
mh == h.mh /\
mhk == hk.mh /\
ptr == buffer_addr b hk + scale_by v_size index /\
mt' == S.update_n ptr v_size (heap_taint (coerce vfh)) tn /\
hk' == buffer_write b index v hk /\
valid_layout_buffer b vfh.vf_layout hk true /\
valid_taint_buf b hk mt tn /\
is_machine_heap_update mh mh' /\ upd_heap h mh' == buffer_write b index v h /\
is_machine_heap_update mhk mhk' /\ upd_heap hk mhk' == buffer_write b index v hk /\
(forall j.{:pattern mh.[j] \/ mh'.[j]} j < ptr \/ j >= ptr + v_size ==> mh.[j] == mh'.[j]) /\
(forall j.{:pattern mhk.[j] \/ mhk'.[j]} j < ptr \/ j >= ptr + v_size ==> mhk.[j] == mhk'.[j]) /\
0 <= scale_by v_size index /\ scale_by v_size index + v_size <= DV.length (get_downview b.bsrc) /\
(forall i.{:pattern mh'.[i] \/ mhk'.[i]} i >= ptr /\ i < ptr + v_size ==> mh'.[i] == mhk'.[i]) /\
True
)
(ensures is_full_update vfh hk' k mh' mt')
=
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
let vfh' = coerce (heap_upd (coerce vfh) mh' mt') in
let dom_upd = Set.intersect (vfh.vf_layout.vl_inner.vl_heaplet_sets k) (Map.domain mhk) in
let mhk'' = Map.concat mhk (Map.restrict dom_upd mh') in
assert (Map.equal mhk'' mhk');
let unchanged (j:heaplet_id) : Lemma
(requires j =!= k)
(ensures Map16.sel vfh'.vf_heaplets j == Map16.sel vfh.vf_heaplets j)
[SMTPat (Map16.sel vfh'.vf_heaplets j)]
=
assert (Map.equal (Map16.sel vfh'.vf_heaplets j).mh (Map16.sel vfh.vf_heaplets j).mh);
I.down_up_identity (Map16.sel vfh.vf_heaplets j).ih;
()
in
assert (Map16.equal vfh'.vf_heaplets (Map16.upd vfh.vf_heaplets k hk'));
assert (Map.equal mt' mt);
Vale.Interop.Heap_s.list_disjoint_or_eq_reveal ();
()
let low_lemma_store_mem64_full b i v vfh t hid =
let (h, mt, hk) = (vfh.vf_heap, vfh.vf_layout.vl_taint, Map16.get vfh.vf_heaplets hid) in
let ptr = buffer_addr b hk + scale8 i in
let mh' = S.update_heap64 ptr v (heap_get (coerce vfh)) in
let mt' = S.update_n ptr 8 (heap_taint (coerce vfh)) t in
let hk' = buffer_write b i v hk in
let mhk' = S.update_heap64 ptr v (get_heap hk) in
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
low_lemma_store_mem64 b i v h;
low_lemma_store_mem64 b i v (Map16.get vfh.vf_heaplets hid);
Vale.Arch.MachineHeap.frame_update_heap64 ptr v h.mh;
Vale.Arch.MachineHeap.frame_update_heap64 ptr v hk.mh;
in_bounds64 hk b i;
Vale.Arch.MachineHeap.same_mem_get_heap_val64 ptr mh' mhk';
lemma_is_full_update vfh h hk hk' hid h.mh mh' hk.mh mhk' mt mt' TUInt64 b ptr 8 i v t;
()
val low_lemma_valid_mem128 (b:buffer128) (i:nat) (h:vale_heap) : Lemma
(requires
i < Seq.length (buffer_as_seq h b) /\
buffer_readable h b
)
(ensures
S.valid_addr128 (buffer_addr b h + scale16 i) (get_heap h)
)
let low_lemma_valid_mem128 b i h =
lemma_valid_mem128 b i h;
bytes_valid128 (buffer_addr b h + scale16 i) h
val equiv_load_mem128_aux: (ptr:int) -> (h:vale_heap) -> Lemma
(requires valid_mem128 ptr h)
(ensures load_mem128 ptr h == S.get_heap_val128 ptr (get_heap h))
let equiv_load_mem128_aux ptr h =
let t = TUInt128 in
let b = get_addr_ptr t ptr h in
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
let addr = buffer_addr b h in
let contents = DV.as_seq (_ih h).IB.hs (get_downview b.bsrc) in
let heap = get_heap h in
S.get_heap_val128_reveal ();
index128_get_heap_val128 h b heap i;
lemma_load_mem128 b i h
let equiv_load_mem128 ptr h =
equiv_load_mem128_aux ptr h
val low_lemma_load_mem128 (b:buffer128) (i:nat) (h:vale_heap) : Lemma
(requires
i < Seq.length (buffer_as_seq h b) /\
buffer_readable h b
)
(ensures
S.get_heap_val128 (buffer_addr b h + scale16 i) (get_heap h) == buffer_read b i h
)
let low_lemma_load_mem128 b i h =
lemma_valid_mem128 b i h;
lemma_load_mem128 b i h;
equiv_load_mem128_aux (buffer_addr b h + scale16 i) h
//let same_domain_update128 b i v h =
// low_lemma_valid_mem128 b i h;
// Vale.Arch.MachineHeap.same_domain_update128 (buffer_addr b h + scale16 i) v (get_heap h)
let low_lemma_store_mem128_aux
(b:buffer128)
(heap:S.machine_heap)
(i:nat{i < buffer_length b})
(v:quad32)
(h:vale_heap{buffer_readable h b /\ buffer_writeable b})
: Lemma
(requires IB.correct_down_p (_ih h) heap b)
(ensures (let heap' = S.update_heap128 (buffer_addr b h + scale16 i) v heap in
let h' = store_mem128 (buffer_addr b h + scale16 i) v h in
(_ih h').IB.hs == DV.upd_seq (_ih h).IB.hs (get_downview b.bsrc) (I.get_seq_heap heap' (_ih h).IB.addrs b))) =
let ptr = buffer_addr b h + scale16 i in
let heap' = S.update_heap128 ptr v heap in
let h' = store_mem128 ptr v h in
lemma_store_mem128 b i v h;
length_t_eq TUInt128 b;
bv_upd_update_heap128 b heap i v (_ih h);
let db = get_downview b.bsrc in
let bv = UV.mk_buffer db Vale.Interop.Views.up_view128 in
assert (UV.upd (_ih h).IB.hs bv i v == (_ih h').IB.hs)
val valid_state_store_mem128_aux (i:int) (v:quad32) (h:vale_heap) : Lemma
(requires writeable_mem128 i h)
(ensures (
let heap = get_heap h in
let heap' = S.update_heap128 i v heap in
let h' = store_mem128 i v h in
heap' == I.down_mem (_ih h')
))
#restart-solver
let rec written_buffer_down128_aux1
(b:buffer128{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:quad32)
(h:vale_heap{List.memP b (_ih h).IB.ptrs})
(base:nat{base == buffer_addr b h})
(k:nat) (h1:vale_heap{h1 == buffer_write b i v h})
(mem1:S.machine_heap{IB.correct_down (_ih h) mem1})
(mem2:S.machine_heap{IB.correct_down (_ih h1) mem2 /\
(forall j.{:pattern (mem1.[j]) \/ (mem2.[j])}
base <= j /\ j < base + k * 16 ==>
mem1.[j] == mem2.[j])})
: Lemma
(ensures (forall j. {:pattern (mem1.[j]) \/ (mem1.[j])}
j >= base /\ j < base + scale16 i ==>
mem1.[j] == mem2.[j]))
(decreases %[i-k]) =
if k >= i then ()
else begin
let ptr = base + scale16 k in
same_mem_get_heap_val128 b i v k h h1 mem1 mem2;
heap_shift mem1 mem2 ptr 16;
written_buffer_down128_aux1 b i v h base (k+1) h1 mem1 mem2
end
#restart-solver
let rec written_buffer_down128_aux2
(b:buffer128{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:quad32)
(h:vale_heap{List.memP b (_ih h).IB.ptrs})
(base:nat{base == buffer_addr b h})
(n:nat{n == buffer_length b})
(k:nat{k > i}) (h1:vale_heap{h1 == buffer_write b i v h})
(mem1:S.machine_heap{IB.correct_down (_ih h) mem1})
(mem2:S.machine_heap{IB.correct_down (_ih h1) mem2 /\
(forall j. {:pattern (mem1.[j]) \/ (mem2.[j])}
base + scale16 (i+1) <= j /\ j < base + k * 16 ==>
mem1.[j] == mem2.[j])})
: Lemma
(ensures (forall j. {:pattern (mem1.[j]) \/ (mem2.[j])}
j >= base + scale16 (i+1) /\ j < base + scale16 n ==>
mem1.[j] == mem2.[j]))
(decreases %[n-k]) =
if k >= n then ()
else begin
let ptr = base + scale16 k in
same_mem_get_heap_val128 b i v k h h1 mem1 mem2;
heap_shift mem1 mem2 ptr 16;
written_buffer_down128_aux2 b i v h base n (k+1) h1 mem1 mem2
end
let written_buffer_down128 (b:buffer128) (i:nat{i < buffer_length b}) (v:quad32) (h:vale_heap)
: Lemma
(requires List.memP b (_ih h).IB.ptrs /\ buffer_writeable b)
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
let n = buffer_length b in
forall j. {:pattern (mem1.[j]) \/ (mem2.[j])}
(base <= j /\ j < base + scale16 i) \/
(base + scale16 (i+1) <= j /\ j < base + scale16 n) ==>
mem1.[j] == mem2.[j]))
= let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
let n = buffer_length b in
written_buffer_down128_aux1 b i v h base 0 h1 mem1 mem2;
written_buffer_down128_aux2 b i v h base n (i+1) h1 mem1 mem2
let store_buffer_down128_mem
(b:buffer128{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:quad32)
(h:vale_heap{List.memP b (_ih h).IB.ptrs})
: Lemma
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
forall (j:int). {:pattern mem1.[j] \/ mem2.[j]}
j < base + scale16 i \/ j >= base + scale16 (i+1) ==>
mem1.[j] == mem2.[j]))
= let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
let n = buffer_length b in
let aux (j:int)
: Lemma
(j < base + scale16 i \/ j >= base + scale16 (i+1) ==>
mem1.[j] == mem2.[j])
=
I.addrs_set_lemma_all ();
if j >= base && j < base + DV.length (get_downview b.bsrc) then begin
written_buffer_down128 b i v h;
length_t_eq TUInt128 b
end
else if not (I.valid_addr (_ih h) j)
then I.same_unspecified_down (_ih h).IB.hs (_ih h1).IB.hs (_ih h).IB.ptrs
else unwritten_buffer_down TUInt128 b i v h
in
Classical.forall_intro aux
let store_buffer_aux_down128_mem (ptr:int) (v:quad32) (h:vale_heap{writeable_mem128 ptr h})
: Lemma
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = store_mem TUInt128 ptr v h in
let mem2 = I.down_mem (_ih h1) in
forall j. {:pattern mem1.[j] \/ mem2.[j]}
j < ptr \/ j >= ptr + 16 ==>
mem1.[j] == mem2.[j]))
= let t = TUInt128 in
let h1 = store_mem t ptr v h in
let b = Some?.v (find_writeable_buffer t ptr h) in
length_t_eq t b;
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
store_buffer_write t ptr v h;
assert (buffer_addr b h + scale16 i == ptr);
assert (buffer_addr b h + scale16 (i+1) == ptr + 16);
store_buffer_down128_mem b i v h
let store_buffer_aux_down128_mem2 (ptr:int) (v:quad32) (h:vale_heap{writeable_mem128 ptr h})
: Lemma
(ensures (
let h1 = store_mem TUInt128 ptr v h in
let mem2 = I.down_mem (_ih h1) in
Mkfour
(S.get_heap_val32 ptr mem2)
(S.get_heap_val32 (ptr+4) mem2)
(S.get_heap_val32 (ptr+8) mem2)
(S.get_heap_val32 (ptr+12) mem2)
== v)) =
let t = TUInt128 in
let b = Some?.v (find_writeable_buffer t ptr h) in
length_t_eq t b;
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
let h1 = store_mem t ptr v h in
let mem2 = I.down_mem (_ih h1) in
store_buffer_write t ptr v h;
assert (Seq.index (buffer_as_seq h1 b) i == v);
index128_get_heap_val128 h1 b mem2 i
let valid_state_store_mem128_aux i v h =
let heap = get_heap h in
let heap' = S.update_heap128 i v heap in
let h1 = store_mem TUInt128 i v h in
store_buffer_aux_down128_mem i v h;
store_buffer_aux_down128_mem2 i v h;
let mem1 = heap' in
let mem2 = I.down_mem (_ih h1) in
let aux () : Lemma (forall j. mem1.[j] == mem2.[j]) =
Vale.Arch.MachineHeap.correct_update_get128 i v heap;
Vale.X64.Machine_Semantics_s.get_heap_val128_reveal ();
Vale.Arch.MachineHeap.same_mem_get_heap_val32 i mem1 mem2;
Vale.Arch.MachineHeap.same_mem_get_heap_val32 (i+4) mem1 mem2;
Vale.Arch.MachineHeap.same_mem_get_heap_val32 (i+8) mem1 mem2;
Vale.Arch.MachineHeap.same_mem_get_heap_val32 (i+12) mem1 mem2;
Vale.Arch.MachineHeap.frame_update_heap128 i v heap
in
let aux2 () : Lemma (Set.equal (Map.domain mem1) (Map.domain mem2)) =
bytes_valid128 i h;
Vale.Arch.MachineHeap.same_domain_update128 i v heap
in aux (); aux2 ();
Map.lemma_equal_intro mem1 mem2
let low_lemma_load_mem128_full b i vfh t hid =
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
()
let low_lemma_store_mem128 b i v h =
lemma_valid_mem128 b i h;
lemma_store_mem128 b i v h;
valid_state_store_mem128_aux (buffer_addr b h + scale16 i) v h;
let heap = get_heap h in
let heap' = S.update_heap128 (buffer_addr b h + scale16 i) v heap in
let h' = store_mem128 (buffer_addr b h + scale16 i) v h in
low_lemma_store_mem128_aux b heap i v h;
Vale.Arch.MachineHeap.frame_update_heap128 (buffer_addr b h + scale16 i) v heap;
in_bounds128 h b i;
I.addrs_set_lemma_all ();
I.update_buffer_up_mem (_ih h) b heap heap'
let low_lemma_store_mem128_full b i v vfh t hid =
let (h, mt, hk) = (vfh.vf_heap, vfh.vf_layout.vl_taint, Map16.get vfh.vf_heaplets hid) in
let ptr = buffer_addr b hk + scale16 i in
let mh' = S.update_heap128 ptr v (heap_get (coerce vfh)) in
let mt' = S.update_n ptr 16 (heap_taint (coerce vfh)) t in
let hk' = buffer_write b i v hk in
let mhk' = S.update_heap128 ptr v (get_heap hk) in
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
low_lemma_store_mem128 b i v h;
low_lemma_store_mem128 b i v (Map16.get vfh.vf_heaplets hid);
Vale.Arch.MachineHeap.frame_update_heap128 ptr v h.mh;
Vale.Arch.MachineHeap.frame_update_heap128 ptr v hk.mh;
in_bounds128 hk b i;
Vale.Arch.MachineHeap.same_mem_get_heap_val128 ptr mh' mhk';
lemma_is_full_update vfh h hk hk' hid h.mh mh' hk.mh mhk' mt mt' TUInt128 b ptr 16 i v t;
()
#push-options "--smtencoding.l_arith_repr boxwrap"
let low_lemma_valid_mem128_64 b i h =
reveal_opaque (`%S.valid_addr64) S.valid_addr64;
reveal_opaque (`%S.valid_addr128) S.valid_addr128;
low_lemma_valid_mem128 b i h;
let ptr = buffer_addr b h + scale16 i in
assert (buffer_addr b h + scale16 i + 8 = ptr + 8)
#pop-options
open Vale.Def.Words.Two_s
open Vale.Def.Words.Four_s
let low_lemma_load_mem128_lo64 b i h =
low_lemma_load_mem128 b i h;
lo64_reveal ();
S.get_heap_val128_reveal ();
S.get_heap_val64_reveal ();
S.get_heap_val32_reveal ()
let low_lemma_load_mem128_hi64 b i h =
low_lemma_load_mem128 b i h;
hi64_reveal ();
S.get_heap_val128_reveal ();
S.get_heap_val64_reveal ();
S.get_heap_val32_reveal ()
//let same_domain_update128_64 b i v h =
// low_lemma_valid_mem128_64 b i (_ih h);
// Vale.Arch.MachineHeap.same_domain_update64 (buffer_addr b h + scale16 i) v (get_heap h);
// Vale.Arch.MachineHeap.same_domain_update64 (buffer_addr b h + scale16 i + 8) v (get_heap h)
open Vale.Def.Types_s
let frame_get_heap32 (ptr:int) (mem1 mem2:S.machine_heap) : Lemma
(requires (forall i. i >= ptr /\ i < ptr + 4 ==> mem1.[i] == mem2.[i]))
(ensures S.get_heap_val32 ptr mem1 == S.get_heap_val32 ptr mem2) =
S.get_heap_val32_reveal ()
let update_heap128_lo (ptr:int) (v:quad32) (mem:S.machine_heap) : Lemma
(requires
S.valid_addr128 ptr mem /\
v.hi2 == S.get_heap_val32 (ptr+8) mem /\
v.hi3 == S.get_heap_val32 (ptr+12) mem
)
(ensures S.update_heap128 ptr v mem ==
S.update_heap32 (ptr+4) v.lo1 (S.update_heap32 ptr v.lo0 mem)) =
reveal_opaque (`%S.valid_addr128) S.valid_addr128;
S.update_heap128_reveal ();
let mem0 = S.update_heap32 ptr v.lo0 mem in
let mem1 = S.update_heap32 (ptr+4) v.lo1 mem0 in
Vale.Arch.MachineHeap.frame_update_heap32 ptr v.lo0 mem;
Vale.Arch.MachineHeap.frame_update_heap32 (ptr+4) v.lo1 mem0;
Vale.Arch.MachineHeap.same_domain_update32 ptr v.lo0 mem;
Vale.Arch.MachineHeap.same_domain_update32 (ptr+4) v.lo1 mem0;
frame_get_heap32 (ptr+8) mem mem1;
frame_get_heap32 (ptr+12) mem mem1;
Vale.Arch.MachineHeap.update_heap32_get_heap32 (ptr+8) mem1;
Vale.Arch.MachineHeap.update_heap32_get_heap32 (ptr+12) mem1
let low_lemma_load_mem128_lo_hi_full b i vfh t hid =
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
low_lemma_valid_mem128_64 b i vfh.vf_heap;
()
let low_lemma_store_mem128_lo64 b i v h =
let ptr = buffer_addr b h + scale16 i in
let v128 = buffer_read b i h in
let v' = insert_nat64 v128 v 0 in
low_lemma_load_mem128 b i h;
low_lemma_store_mem128 b i v' h;
S.get_heap_val128_reveal ();
update_heap128_lo ptr v' (get_heap h);
S.update_heap64_reveal ();
S.update_heap32_reveal ();
insert_nat64_reveal ()
let low_lemma_store_mem128_lo64_full b i v vfh t hid =
let (h, mt, hk) = (vfh.vf_heap, vfh.vf_layout.vl_taint, Map16.get vfh.vf_heaplets hid) in
let v' = insert_nat64 (buffer_read b i hk) v 0 in
let ptr = buffer_addr b hk + scale16 i in
let mh' = S.update_heap128 ptr v' (heap_get (coerce vfh)) in
let mt' = S.update_n ptr 16 (heap_taint (coerce vfh)) t in
let hk' = buffer_write b i v' hk in
let mhk' = S.update_heap128 ptr v' (get_heap hk) in
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
low_lemma_store_mem128 b i v' h;
low_lemma_store_mem128 b i v' (Map16.get vfh.vf_heaplets hid);
Vale.Arch.MachineHeap.frame_update_heap128 ptr v' h.mh;
Vale.Arch.MachineHeap.frame_update_heap128 ptr v' hk.mh;
in_bounds128 hk b i;
Vale.Arch.MachineHeap.same_mem_get_heap_val128 ptr mh' mhk';
lemma_is_full_update vfh h hk hk' hid h.mh mh' hk.mh mhk' mt mt' TUInt128 b ptr 16 i v' t;
low_lemma_store_mem128_lo64 b i v h;
low_lemma_valid_mem128_64 b i h;
assert (Map.equal mt (S.update_n (buffer_addr b h + scale16 i) 8 mt t));
()
#push-options "--z3rlimit 20 --using_facts_from '* -LowStar.Monotonic.Buffer.loc_disjoint_includes_r'"
#restart-solver
let low_lemma_store_mem128_hi64 b i v h =
reveal_opaque (`%S.valid_addr128) S.valid_addr128;
let ptr = buffer_addr b h + scale16 i in
let v128 = buffer_read b i h in
let v' = insert_nat64 v128 v 1 in
low_lemma_load_mem128 b i h;
low_lemma_store_mem128 b i v' h;
assert (S.valid_addr128 ptr (get_heap h));
Vale.Arch.MachineHeap.update_heap32_get_heap32 ptr (get_heap h);
Vale.Arch.MachineHeap.update_heap32_get_heap32 (ptr+4) (get_heap h);
S.get_heap_val128_reveal ();
S.update_heap128_reveal ();
S.update_heap64_reveal ();
S.update_heap32_reveal ();
insert_nat64_reveal ()
#pop-options | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.BufferViewStore.fsti.checked",
"Vale.PPC64LE.Semantics_s.fst.checked",
"Vale.PPC64LE.Memory.fst.checked",
"Vale.PPC64LE.Memory.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.Lib.BufferViewHelpers.fst.checked",
"Vale.Interop.Views.fsti.checked",
"Vale.Interop.Heap_s.fst.checked",
"Vale.Interop.Base.fst.checked",
"Vale.Interop.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Two_s.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.MachineHeap.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.Arch.Heap.fsti.checked",
"prims.fst.checked",
"LowStar.Monotonic.Buffer.fsti.checked",
"LowStar.BufferView.Up.fsti.checked",
"LowStar.BufferView.Down.fsti.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt64.fsti.checked",
"FStar.Set.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Option.fst.checked",
"FStar.Mul.fst.checked",
"FStar.Map.fsti.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.PPC64LE.Memory_Sems.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Def.Words.Four_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words.Two_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.BufferViewStore",
"short_module": null
},
{
"abbrev": true,
"full_module": "Vale.Interop.Base",
"short_module": "IB"
},
{
"abbrev": false,
"full_module": "Vale.Lib.BufferViewHelpers",
"short_module": null
},
{
"abbrev": true,
"full_module": "LowStar.BufferView.Down",
"short_module": "DV"
},
{
"abbrev": true,
"full_module": "LowStar.BufferView.Up",
"short_module": "UV"
},
{
"abbrev": true,
"full_module": "LowStar.Monotonic.Buffer",
"short_module": "MB"
},
{
"abbrev": true,
"full_module": "Vale.Interop",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": true,
"full_module": "Vale.Lib.Map16",
"short_module": "Map16"
},
{
"abbrev": true,
"full_module": "Vale.PPC64LE.Semantics_s",
"short_module": "S"
},
{
"abbrev": false,
"full_module": "Vale.Lib.Seqs",
"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.Arch.MachineHeap_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Heap",
"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": "Vale.Def.Types_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.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.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": 100,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
b: Vale.PPC64LE.Memory.buffer128 ->
i: Prims.nat ->
v: Vale.Def.Types_s.nat64 ->
vfh: Vale.Arch.HeapImpl.vale_full_heap ->
t: Vale.Arch.HeapTypes_s.taint ->
hid: Vale.Arch.HeapImpl.heaplet_id
-> FStar.Pervasives.Lemma
(requires
(let _ =
Vale.Lib.Map16.get (Mkvale_full_heap?.vf_heaplets vfh) hid,
Mkvale_heap_layout?.vl_taint (Mkvale_full_heap?.vf_layout vfh)
in
(let FStar.Pervasives.Native.Mktuple2 #_ #_ h mt = _ in
i < FStar.Seq.Base.length (Vale.PPC64LE.Memory.buffer_as_seq h b) /\
Vale.PPC64LE.Memory.buffer_readable h b /\ Vale.PPC64LE.Memory.buffer_writeable b /\
Vale.PPC64LE.Memory.valid_layout_buffer b (Mkvale_full_heap?.vf_layout vfh) h true /\
Vale.PPC64LE.Memory.valid_taint_buf128 b h mt t /\ Vale.PPC64LE.Memory.mem_inv vfh)
<:
Type0))
(ensures
(let h = Vale.Lib.Map16.get (Mkvale_full_heap?.vf_heaplets vfh) hid in
let ptr = Vale.PPC64LE.Memory.buffer_addr b h + Vale.PPC64LE.Memory.scale16 i + 8 in
let v' = Vale.Def.Types_s.insert_nat64 (Vale.PPC64LE.Memory.buffer_read b i h) v 1 in
Vale.PPC64LE.Memory.buffer_addr b (Mkvale_full_heap?.vf_heap vfh) ==
Vale.PPC64LE.Memory.buffer_addr b h /\
Vale.Arch.MachineHeap_s.valid_addr64 ptr
(Vale.Arch.Heap.heap_get (Vale.PPC64LE.Memory_Sems.coerce vfh)) /\
Vale.PPC64LE.Memory_Sems.is_full_update vfh
(Vale.PPC64LE.Memory.buffer_write b i v' h)
hid
(Vale.Arch.MachineHeap_s.update_heap64 ptr
v
(Vale.Arch.Heap.heap_get (Vale.PPC64LE.Memory_Sems.coerce vfh)))
(Vale.PPC64LE.Semantics_s.update_n ptr
8
(Vale.Arch.Heap.heap_taint (Vale.PPC64LE.Memory_Sems.coerce vfh))
t))) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"Vale.PPC64LE.Memory.buffer128",
"Prims.nat",
"Vale.Def.Types_s.nat64",
"Vale.Arch.HeapImpl.vale_full_heap",
"Vale.Arch.HeapTypes_s.taint",
"Vale.Arch.HeapImpl.heaplet_id",
"Vale.Arch.HeapImpl.vale_heap",
"FStar.Map.t",
"Prims.int",
"FStar.Set.equal",
"FStar.Map.domain",
"FStar.Set.complement",
"FStar.Set.empty",
"Prims.unit",
"Prims._assert",
"FStar.Map.equal",
"Vale.PPC64LE.Semantics_s.update_n",
"Prims.op_Addition",
"Vale.PPC64LE.Memory.buffer_addr",
"Vale.PPC64LE.Memory.vuint128",
"FStar.Mul.op_Star",
"Vale.PPC64LE.Memory_Sems.low_lemma_valid_mem128_64",
"Vale.PPC64LE.Memory_Sems.low_lemma_store_mem128_hi64",
"Vale.PPC64LE.Memory_Sems.lemma_is_full_update",
"Vale.Arch.HeapImpl.__proj__ValeHeap__item__mh",
"Vale.Arch.HeapTypes_s.TUInt128",
"Vale.Arch.MachineHeap.same_mem_get_heap_val128",
"Vale.PPC64LE.Memory_Sems.in_bounds128",
"Vale.Arch.MachineHeap.frame_update_heap128",
"Vale.PPC64LE.Memory_Sems.low_lemma_store_mem128",
"Vale.Lib.Map16.get",
"Vale.Arch.HeapImpl.__proj__Mkvale_full_heap__item__vf_heaplets",
"FStar.Pervasives.reveal_opaque",
"Vale.Arch.HeapTypes_s.base_typ",
"Vale.PPC64LE.Memory.buffer",
"Vale.Arch.HeapImpl.vale_heap_layout",
"FStar.Pervasives.Native.option",
"Prims.bool",
"Vale.Def.Prop_s.prop0",
"Vale.PPC64LE.Memory.valid_layout_buffer_id",
"Vale.Arch.MachineHeap_s.machine_heap",
"Vale.Arch.MachineHeap_s.update_heap128",
"Vale.PPC64LE.Memory_Sems.get_heap",
"Vale.PPC64LE.Memory.buffer_write",
"Vale.Arch.HeapTypes_s.memTaint_t",
"Prims.l_Forall",
"Prims.l_and",
"Prims.l_imp",
"Prims.b2t",
"Prims.op_GreaterThanOrEqual",
"Prims.op_LessThan",
"Prims.eq2",
"Vale.PPC64LE.Semantics_s.op_String_Access",
"Prims.l_or",
"Vale.Arch.Heap.heap_taint",
"FStar.Map.sel",
"Vale.PPC64LE.Memory_Sems.coerce",
"Vale.Arch.Heap.heap_impl",
"Vale.Arch.Heap.heap_get",
"Vale.PPC64LE.Memory.scale16",
"Vale.Def.Types_s.quad32",
"Vale.Def.Types_s.insert_nat64",
"Vale.PPC64LE.Memory.buffer_read",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.Mktuple3",
"Vale.Arch.HeapImpl.__proj__Mkvale_full_heap__item__vf_heap",
"Vale.Arch.HeapImpl.__proj__Mkvale_heap_layout__item__vl_taint",
"Vale.Arch.HeapImpl.__proj__Mkvale_full_heap__item__vf_layout"
] | [] | false | false | true | false | false | let low_lemma_store_mem128_hi64_full b i v vfh t hid =
| reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
let h, mt, hk = (vfh.vf_heap, vfh.vf_layout.vl_taint, Map16.get vfh.vf_heaplets hid) in
let v' = insert_nat64 (buffer_read b i h) v 1 in
let ptr = buffer_addr b hk + scale16 i in
let mh' = S.update_heap128 ptr v' (heap_get (coerce vfh)) in
let mt' = S.update_n ptr 16 (heap_taint (coerce vfh)) t in
let hk' = buffer_write b i v' hk in
let mhk' = S.update_heap128 ptr v' (get_heap hk) in
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
low_lemma_store_mem128 b i v' h;
low_lemma_store_mem128 b i v' (Map16.get vfh.vf_heaplets hid);
Vale.Arch.MachineHeap.frame_update_heap128 ptr v' h.mh;
Vale.Arch.MachineHeap.frame_update_heap128 ptr v' hk.mh;
in_bounds128 hk b i;
Vale.Arch.MachineHeap.same_mem_get_heap_val128 ptr mh' mhk';
lemma_is_full_update vfh h hk hk' hid h.mh mh' hk.mh mhk' mt mt' TUInt128 b ptr 16 i v' t;
low_lemma_store_mem128_hi64 b i v h;
low_lemma_valid_mem128_64 b i h;
assert (Map.equal mt (S.update_n (buffer_addr b h + 16 * i + 8) 8 mt t));
() | false |
FStar.List.Tot.Base.fst | FStar.List.Tot.Base.list_ref | val list_ref: #a:eqtype -> #p:(a -> Tot prop) -> l:list a {
forall x. {:pattern mem x l} mem x l ==> p x
} -> Tot (l':list (x:a{ p x }) {
length l = length l' /\
(forall i. {:pattern (index l i) } index l i = index l' i) }) | val list_ref: #a:eqtype -> #p:(a -> Tot prop) -> l:list a {
forall x. {:pattern mem x l} mem x l ==> p x
} -> Tot (l':list (x:a{ p x }) {
length l = length l' /\
(forall i. {:pattern (index l i) } index l i = index l' i) }) | let rec list_ref #a #p l =
match l with
| hd :: tl ->
assert (mem hd l);
assert (p hd);
assert (forall x. {:pattern mem x tl} mem x tl ==> mem x l);
hd :: list_ref #a #p tl
| [] -> [] | {
"file_name": "ulib/FStar.List.Tot.Base.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 12,
"end_line": 571,
"start_col": 0,
"start_line": 564
} | (*
Copyright 2008-2014 Nikhil Swamy and 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.
*)
(**
This module defines all pure and total operations on lists that can be
used in specifications. It is implemented by FStar_List_Tot_Base.ml, any
functional change and/or the addition of new functions MUST be reflected
there.
@summary Pure total operations on lists
*)
module FStar.List.Tot.Base
(**
Base operations
*)
(** [isEmpty l] returns [true] if and only if [l] is empty *)
val isEmpty: list 'a -> Tot bool
let isEmpty l = match l with
| [] -> true
| _ -> false
(** [hd l] returns the first element of [l]. Requires [l] to be
nonempty, at type-checking time. Named as in: OCaml, F#, Coq *)
val hd: l:list 'a{Cons? l} -> Tot 'a
let hd = function
| hd::_ -> hd
(** [tail l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Similar to: tl in OCaml, F#, Coq
*)
val tail: l:list 'a {Cons? l} -> Tot (list 'a)
let tail = function
| _::tl -> tl
(** [tl l] returns [l] without its first element. Requires, at
type-checking time, that [l] be nonempty. Named as in: OCaml, F#, Coq
*)
val tl: l:list 'a {Cons? l} -> Tot (list 'a)
let tl = tail
(** [last l] returns the last element of [l]. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val last: l:list 'a {Cons? l} -> Tot 'a
let rec last = function
| [hd] -> hd
| _::tl -> last tl
(** [init l] returns [l] without its last element. Requires, at
type-checking time, that [l] be nonempty. Named as in: Haskell
*)
val init: l:list 'a {Cons? l} -> Tot (list 'a)
let rec init = function
| [_] -> []
| hd::tl -> hd::(init tl)
(** [length l] returns the total number of elements in [l]. Named as
in: OCaml, F#, Coq *)
val length: list 'a -> Tot nat
let rec length = function
| [] -> 0
| _::tl -> 1 + length tl
(** [nth l n] returns the [n]-th element in list [l] (with the first
element being the 0-th) if [l] is long enough, or [None]
otherwise. Named as in: OCaml, F#, Coq *)
val nth: list 'a -> nat -> Tot (option 'a)
let rec nth l n = match l with
| [] -> None
| hd::tl -> if n = 0 then Some hd else nth tl (n - 1)
(** [index l n] returns the [n]-th element in list [l] (with the first
element being the 0-th). Requires, at type-checking time, that [l] be
of length at least [n+1]. *)
val index: #a:Type -> l:list a -> i:nat{i < length l} -> Tot a
let rec index #a (l: list a) (i:nat{i < length l}): Tot a =
if i = 0 then
hd l
else
index (tl l) (i - 1)
(** [count x l] returns the number of occurrences of [x] in
[l]. Requires, at type-checking time, the type of [a] to have equality
defined. Similar to: [List.count_occ] in Coq. *)
val count: #a:eqtype -> a -> list a -> Tot nat
let rec count #a x = function
| [] -> 0
| hd::tl -> if x=hd then 1 + count x tl else count x tl
(** [rev_acc l1 l2] appends the elements of [l1] to the beginning of
[l2], in reverse order. It is equivalent to [append (rev l1) l2], but
is tail-recursive. Similar to: [List.rev_append] in OCaml, Coq. *)
val rev_acc: list 'a -> list 'a -> Tot (list 'a)
let rec rev_acc l acc = match l with
| [] -> acc
| hd::tl -> rev_acc tl (hd::acc)
(** [rev l] returns the list [l] in reverse order. Named as in: OCaml,
F#, Coq. *)
val rev: list 'a -> Tot (list 'a)
let rev l = rev_acc l []
(** [append l1 l2] appends the elements of [l2] to the end of [l1]. Named as: OCaml, F#. Similar to: [List.app] in Coq. *)
val append: list 'a -> list 'a -> Tot (list 'a)
let rec append x y = match x with
| [] -> y
| a::tl -> a::append tl y
(** Defines notation [@@] for [append], as in OCaml, F# . *)
let op_At x y = append x y
(** [snoc (l, x)] adds [x] to the end of the list [l].
Note: We use an uncurried [snoc (l, x)] instead of the curried
[snoc l x]. This is intentional. If [snoc] takes a pair instead
of 2 arguments, it allows for a better pattern on
[lemma_unsnoc_snoc], which connects [snoc] and [unsnoc]. In
particular, if we had two arguments, then either the pattern would
either be too restrictive or would lead to over-triggering. More
context for this can be seen in the (collapsed and uncollapsed)
comments at https://github.com/FStarLang/FStar/pull/1560 *)
val snoc: (list 'a * 'a) -> Tot (list 'a)
let snoc (l, x) = append l [x]
(** [flatten l], where [l] is a list of lists, returns the list of the
elements of the lists in [l], preserving their order. Named as in:
OCaml, Coq. *)
val flatten: list (list 'a) -> Tot (list 'a)
let rec flatten l = match l with
| [] -> []
| hd::tl -> append hd (flatten tl)
(** [map f l] applies [f] to each element of [l] and returns the list
of results, in the order of the original elements in [l]. Requires, at
type-checking time, [f] to be a pure total function. Named as in: OCaml, Coq, F# *)
val map: ('a -> Tot 'b) -> list 'a -> Tot (list 'b)
let rec map f x = match x with
| [] -> []
| a::tl -> f a::map f tl
(** [mapi_init f l n] applies, for each [k], [f (n+k)] to the [k]-th
element of [l] and returns the list of results, in the order of the
original elements in [l]. Requires, at type-checking time, [f] to be a
pure total function. *)
val mapi_init: (int -> 'a -> Tot 'b) -> list 'a -> int -> Tot (list 'b)
let rec mapi_init f l i = match l with
| [] -> []
| hd::tl -> (f i hd)::(mapi_init f tl (i+1))
(** [mapi f l] applies, for each [k], [f k] to the [k]-th element of
[l] and returns the list of results, in the order of the original
elements in [l]. Requires, at type-checking time, [f] to be a pure
total function. Named as in: OCaml *)
val mapi: (int -> 'a -> Tot 'b) -> list 'a -> Tot (list 'b)
let mapi f l = mapi_init f l 0
(** [concatMap f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. This is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. *)
val concatMap: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec concatMap f = function
| [] -> []
| a::tl ->
let fa = f a in
let ftl = concatMap f tl in
append fa ftl
(** [fold_left f x [y1; y2; ...; yn]] computes (f (... (f x y1) y2)
... yn). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq. *)
val fold_left: ('a -> 'b -> Tot 'a) -> 'a -> l:list 'b -> Tot 'a (decreases l)
let rec fold_left f x l = match l with
| [] -> x
| hd::tl -> fold_left f (f x hd) tl
(** [fold_right f [x1; x2; ...; xn] y] computes (f x1 (f x2 (... (f xn
y)) ... )). Requires, at type-checking time, [f] to be a pure total
function. Named as in: OCaml, Coq *)
val fold_right: ('a -> 'b -> Tot 'b) -> list 'a -> 'b -> Tot 'b
let rec fold_right f l x = match l with
| [] -> x
| hd::tl -> f hd (fold_right f tl x)
(** [fold_right_gtot] is just like [fold_right], except `f` is
a ghost function **)
let rec fold_right_gtot (#a:Type) (#b:Type) (l:list a) (f:a -> b -> GTot b) (x:b)
: GTot b
= match l with
| [] -> x
| hd::tl -> f hd (fold_right_gtot tl f x)
(* We define map in terms of fold, to share simple lemmas *)
let map_gtot #a #b (f:a -> GTot b) (x:list a)
: GTot (list b)
= fold_right_gtot x (fun x tl -> f x :: tl) []
(** [fold_left2 f x [y1; y2; ...; yn] [z1; z2; ...; zn]] computes (f
(... (f x y1 z1) y2 z2) ... yn zn). Requires, at type-checking time,
[f] to be a pure total function, and the lists [y1; y2; ...; yn] and
[z1; z2; ...; zn] to have the same lengths. Named as in: OCaml *)
val fold_left2 : f:('a -> 'b -> 'c -> Tot 'a) -> accu:'a -> l1:(list 'b) -> l2:(list 'c) ->
Pure 'a (requires (length l1 == length l2)) (ensures (fun _ -> True)) (decreases l1)
let rec fold_left2 f accu l1 l2 =
match (l1, l2) with
| ([], []) -> accu
| (a1::l1, a2::l2) -> fold_left2 f (f accu a1 a2) l1 l2
(** Propositional membership (as in Coq). Does not require decidable
equality. *)
(** [memP x l] holds if, and only if, [x] appears as an
element of [l]. Similar to: List.In in Coq. *)
let rec memP (#a: Type) (x: a) (l: list a) : Tot Type0 =
match l with
| [] -> False
| y :: q -> x == y \/ memP x q
(** List searching **)
(** [mem x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. Named as in: OCaml. See also:
List.In in Coq, which is propositional. *)
val mem: #a:eqtype -> a -> list a -> Tot bool
let rec mem #a x = function
| [] -> false
| hd::tl -> if hd = x then true else mem x tl
(** [contains x l] returns [true] if, and only if, [x] appears as an
element of [l]. Requires, at type-checking time, the type of elements
of [l] to have decidable equality. It is equivalent to: [mem x
l]. TODO: should we rather swap the order of arguments? *)
let contains : #a:eqtype -> a -> list a -> Tot bool = mem
(** [existsb f l] returns [true] if, and only if, there exists some
element [x] in [l] such that [f x] holds. *)
val existsb: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot bool
let rec existsb #a f l = match l with
| [] -> false
| hd::tl -> if f hd then true else existsb f tl
(** [find f l] returns [Some x] for some element [x] appearing in [l]
such that [f x] holds, or [None] only if no such [x] exists. *)
val find: #a:Type
-> f:(a -> Tot bool)
-> list a
-> Tot (option (x:a{f x}))
let rec find #a f l = match l with
| [] -> None #(x:a{f x}) //These type annotations are only present because it makes bootstrapping go much faster
| hd::tl -> if f hd then Some #(x:a{f x}) hd else find f tl
(** Filtering elements of a list [l] through a Boolean pure total
predicate [f] *)
(** [filter f l] returns [l] with all elements [x] such that [f x]
does not hold removed. Requires, at type-checking time, [f] to be a
pure total function. Named as in: OCaml, Coq *)
val filter : #a: Type -> f:(a -> Tot bool) -> l: list a -> Tot (m:list a{forall x. memP x m ==> f x})
let rec filter #a f = function
| [] -> []
| hd::tl -> if f hd then hd::filter f tl else filter f tl
(** Postcondition on [filter f l]: for any element [x] of [filter f l],
[f x] holds. Requires, at type-checking time, [f] to be a pure total
function.*)
val mem_filter (#a:Type) (f: (a -> Tot bool)) (l: list a) (x: a) : Lemma
(requires (memP x (filter f l)))
(ensures (f x))
let mem_filter f l x = ()
(** Postcondition on [filter f l]: stated with [forall]: for any element
[x] of [filter f l], [f x] holds. Requires, at type-checking time, [f]
to be a pure total function. *)
val mem_filter_forall (#a:Type) (f: (a -> Tot bool)) (l: list a) : Lemma
(requires True)
(ensures (forall x . memP x (filter f l) ==> f x))
[SMTPat (filter f l)]
let mem_filter_forall f l = FStar.Classical.ghost_lemma (mem_filter f l)
(** [for_all f l] returns [true] if, and only if, for all elements [x]
appearing in [l], [f x] holds. Requires, at type-checking time, [f] to
be a pure total function. Named as in: OCaml. Similar to: List.forallb
in Coq *)
val for_all: ('a -> Tot bool) -> list 'a -> Tot bool
let rec for_all f l = match l with
| [] -> true
| hd::tl -> if f hd then for_all f tl else false
(** Specification for [for_all f l] vs. mem *)
let rec for_all_mem
(#a: Type)
(f: (a -> Tot bool))
(l: list a)
: Lemma
(for_all f l <==> (forall x . memP x l ==> f x))
= match l with
| [] -> ()
| _ :: q -> for_all_mem f q
(** [collect f l] applies [f] to each element of [l] and returns the
concatenation of the results, in the order of the original elements of
[l]. It is equivalent to [flatten (map f l)]. Requires, at
type-checking time, [f] to be a pure total function. TODO: what is
the difference with [concatMap]? *)
val collect: ('a -> Tot (list 'b)) -> list 'a -> Tot (list 'b)
let rec collect f l = match l with
| [] -> []
| hd::tl -> append (f hd) (collect f tl)
(** [tryFind f l] returns [Some x] for some element [x] appearing in
[l] such that [f x] holds, or [None] only if no such [x]
exists. Requires, at type-checking time, [f] to be a pure total
function. Contrary to [find], [tryFind] provides no postcondition on
its result. *)
val tryFind: ('a -> Tot bool) -> list 'a -> Tot (option 'a)
let rec tryFind p l = match l with
| [] -> None
| hd::tl -> if p hd then Some hd else tryFind p tl
(** [tryPick f l] returns [y] for some element [x] appearing in [l]
such that [f x = Some y] for some y, or [None] only if [f x = None]
for all elements [x] of [l]. Requires, at type-checking time, [f] to
be a pure total function. *)
val tryPick: ('a -> Tot (option 'b)) -> list 'a -> Tot (option 'b)
let rec tryPick f l = match l with
| [] -> None
| hd::tl ->
match f hd with
| Some x -> Some x
| None -> tryPick f tl
(** [choose f l] returns the list of [y] for all elements [x]
appearing in [l] such that [f x = Some y] for some [y]. Requires, at
type-checking time, [f] to be a pure total function. *)
val choose: ('a -> Tot (option 'b)) -> list 'a -> Tot (list 'b)
let rec choose f l = match l with
| [] -> []
| hd::tl ->
match f hd with
| Some x -> x::(choose f tl)
| None -> choose f tl
(** [partition f l] returns the pair of lists [(l1, l2)] where all
elements [x] of [l] are in [l1] if [f x] holds, and in [l2]
otherwise. Both [l1] and [l2] retain the original order of
[l]. Requires, at type-checking time, [f] to be a pure total
function. *)
val partition: f:('a -> Tot bool) -> list 'a -> Tot (list 'a * list 'a)
let rec partition f = function
| [] -> [], []
| hd::tl ->
let l1, l2 = partition f tl in
if f hd
then hd::l1, l2
else l1, hd::l2
(** [subset la lb] is true if and only if all the elements from [la]
are also in [lb]. Requires, at type-checking time, the type of
elements of [la] and [lb] to have decidable equality. *)
val subset: #a:eqtype -> list a -> list a -> Tot bool
let rec subset #a la lb =
match la with
| [] -> true
| h :: tl -> mem h lb && subset tl lb
(** [noRepeats l] returns [true] if, and only if, no element of [l]
appears in [l] more than once. Requires, at type-checking time, the
type of elements of [la] and [lb] to have decidable equality. *)
val noRepeats : #a:eqtype -> list a -> Tot bool
let rec noRepeats #a la =
match la with
| [] -> true
| h :: tl -> not(mem h tl) && noRepeats tl
(** [no_repeats_p l] valid if, and only if, no element of [l]
appears in [l] more than once. *)
val no_repeats_p : #a:Type -> list a -> Tot prop
let rec no_repeats_p #a la =
match la with
| [] -> True
| h :: tl -> ~(memP h tl) /\ no_repeats_p tl
(** List of tuples **)
(** [assoc x l] returns [Some y] where [(x, y)] is the first element
of [l] whose first element is [x], or [None] only if no such element
exists. Requires, at type-checking time, the type of [x] to have
decidable equality. Named as in: OCaml. *)
val assoc: #a:eqtype -> #b:Type -> a -> list (a * b) -> Tot (option b)
let rec assoc #a #b x = function
| [] -> None
| (x', y)::tl -> if x=x' then Some y else assoc x tl
(** [split] takes a list of pairs [(x1, y1), ..., (xn, yn)] and
returns the pair of lists ([x1, ..., xn], [y1, ..., yn]). Named as in:
OCaml *)
val split: list ('a * 'b) -> Tot (list 'a * list 'b)
let rec split l = match l with
| [] -> ([],[])
| (hd1,hd2)::tl ->
let (tl1,tl2) = split tl in
(hd1::tl1,hd2::tl2)
(** [unzip] takes a list of pairs [(x1, y1), ..., (xn, yn)] and
returns the pair of lists ([x1, ..., xn], [y1, ..., yn]). Named as in:
Haskell *)
let unzip l = split l
(** [unzip3] takes a list of triples [(x1, y1, z1), ..., (xn, yn, zn)]
and returns the triple of lists ([x1, ..., xn], [y1, ..., yn], [z1,
..., zn]). Named as in: Haskell *)
val unzip3: list ('a * 'b * 'c) -> Tot (list 'a * list 'b * list 'c)
let rec unzip3 l = match l with
| [] -> ([],[],[])
| (hd1,hd2,hd3)::tl ->
let (tl1,tl2,tl3) = unzip3 tl in
(hd1::tl1,hd2::tl2,hd3::tl3)
(** Splitting a list at some index **)
(** [splitAt] takes a natural number n and a list and returns a pair
of the maximal prefix of l of size smaller than n and the rest of
the list *)
let rec splitAt (#a:Type) (n:nat) (l:list a) : Tot (list a * list a) =
if n = 0 then [], l
else
match l with
| [] -> [], l
| x :: xs -> let l1, l2 = splitAt (n-1) xs in x :: l1, l2
let rec lemma_splitAt_snd_length (#a:Type) (n:nat) (l:list a) :
Lemma
(requires (n <= length l))
(ensures (length (snd (splitAt n l)) = length l - n)) =
match n, l with
| 0, _ -> ()
| _, [] -> ()
| _, _ :: l' -> lemma_splitAt_snd_length (n - 1) l'
(** [unsnoc] is an inverse of [snoc]. It splits a list into
all-elements-except-last and last element. *)
val unsnoc: #a:Type -> l:list a{length l > 0} -> Tot (list a * a)
let unsnoc #a l =
let l1, l2 = splitAt (length l - 1) l in
lemma_splitAt_snd_length (length l - 1) l;
l1, hd l2
(** [split3] splits a list into 3 parts. This allows easy access to
the part of the list before and after the element, as well as the
element itself. *)
val split3: #a:Type -> l:list a -> i:nat{i < length l} -> Tot (list a * a * list a)
let split3 #a l i =
let a, rest = splitAt i l in
lemma_splitAt_snd_length i l;
let b :: c = rest in
a, b, c
(** Sorting (implemented as quicksort) **)
(** [partition] splits a list [l] into two lists, the sum of whose
lengths is the length of [l]. *)
val partition_length: f:('a -> Tot bool)
-> l:list 'a
-> Lemma (requires True)
(ensures (length (fst (partition f l))
+ length (snd (partition f l)) = length l))
let rec partition_length f l = match l with
| [] -> ()
| hd::tl -> partition_length f tl
(** [bool_of_compare] turns a comparison function into a strict
order. More precisely, [bool_of_compare compare x y] returns true
if, and only if, [compare x y] is negative, meaning [x] precedes
[y] in the ordering defined by compare.
This is used in sorting, and is defined to be consistent with
OCaml and F#, where sorting is performed in ascending order.
*)
val bool_of_compare : #a:Type -> (a -> a -> Tot int) -> a -> a -> Tot bool
let bool_of_compare #a f x y = f x y < 0
(** [compare_of_bool] turns a strict order into a comparison
function. More precisely, [compare_of_bool rel x y] returns a positive
number if, and only if, x `rel` y holds. Inspired from OCaml, where
polymorphic comparison using both the [compare] function and the (>)
infix operator are such that [compare x y] is positive if, and only
if, x > y. Requires, at type-checking time, [rel] to be a pure total
function. *)
val compare_of_bool : #a:eqtype -> (a -> a -> Tot bool) -> a -> a -> Tot int
let compare_of_bool #a rel x y =
if x `rel` y then -1
else if x = y then 0
else 1
let compare_of_bool_of_compare (#a:eqtype) (f:a -> a -> Tot bool)
: Lemma (forall x y. bool_of_compare (compare_of_bool f) x y == f x y)
= ()
(** [sortWith compare l] returns the list [l'] containing the elements
of [l] sorted along the comparison function [compare], in such a
way that if [compare x y > 0], then [x] appears before [y] in
[l']. Sorts in ascending order *)
val sortWith: ('a -> 'a -> Tot int) -> l:list 'a -> Tot (list 'a) (decreases (length l))
let rec sortWith f = function
| [] -> []
| pivot::tl ->
let hi, lo = partition (bool_of_compare f pivot) tl in
partition_length (bool_of_compare f pivot) tl;
append (sortWith f lo) (pivot::sortWith f hi)
(** A l1 is a strict suffix of l2. *)
let rec strict_suffix_of (#a: Type) (l1 l2: list a)
: Pure Type0
(requires True)
(ensures (fun _ -> True))
(decreases l2)
= match l2 with
| [] -> False
| _ :: q -> l1 == q \/ l1 `strict_suffix_of` q
[@@deprecated "This function was misnamed: Please use 'strict_suffix_of'"]
let strict_prefix_of = strict_suffix_of
val list_unref : #a:Type -> #p:(a -> Type0) -> list (x:a{p x}) -> Tot (list a)
let rec list_unref #a #p l =
match l with
| [] -> []
| x::xs -> x :: list_unref xs
val list_refb: #a:eqtype -> #p:(a -> Tot bool) ->
l:list a { for_all p l } ->
Tot (l':list (x:a{ p x }) {
length l = length l' /\
(forall i. {:pattern (index l i) } index l i = index l' i) })
let rec list_refb #a #p l =
match l with
| hd :: tl -> hd :: list_refb #a #p tl
| [] -> []
val list_ref: #a:eqtype -> #p:(a -> Tot prop) -> l:list a {
forall x. {:pattern mem x l} mem x l ==> p x
} -> Tot (l':list (x:a{ p x }) {
length l = length l' /\ | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.List.Tot.Base.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List.Tot",
"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 |
l:
Prims.list a
{forall (x: a). {:pattern FStar.List.Tot.Base.mem x l} FStar.List.Tot.Base.mem x l ==> p x}
-> l':
Prims.list (x: a{p x})
{ FStar.List.Tot.Base.length l = FStar.List.Tot.Base.length l' /\
(forall (i:
Prims.nat{i < FStar.List.Tot.Base.length l /\ i < FStar.List.Tot.Base.length l'}).
{:pattern FStar.List.Tot.Base.index l i}
FStar.List.Tot.Base.index l i = FStar.List.Tot.Base.index l' i) } | Prims.Tot | [
"total"
] | [] | [
"Prims.eqtype",
"Prims.prop",
"Prims.list",
"Prims.l_Forall",
"Prims.l_imp",
"Prims.b2t",
"FStar.List.Tot.Base.mem",
"Prims.Cons",
"FStar.List.Tot.Base.list_ref",
"Prims.unit",
"Prims._assert",
"Prims.Nil",
"Prims.l_and",
"Prims.op_Equality",
"Prims.nat",
"FStar.List.Tot.Base.length",
"Prims.op_LessThan",
"FStar.List.Tot.Base.index"
] | [
"recursion"
] | false | false | false | false | false | let rec list_ref #a #p l =
| match l with
| hd :: tl ->
assert (mem hd l);
assert (p hd);
assert (forall x. {:pattern mem x tl} mem x tl ==> mem x l);
hd :: list_ref #a #p tl
| [] -> [] | false |
ConstructiveLogic.fst | ConstructiveLogic.ex6 | val ex6 : p: Prims.prop -> q: Prims.prop -> Prims.unit | let ex6 (p q : prop) =
assert (p ==> q \/ p)
by (let bp = implies_intro () in
right ();
hyp (binding_to_namedv bp);
qed ()) | {
"file_name": "examples/tactics/eci19/ConstructiveLogic.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 17,
"end_line": 135,
"start_col": 0,
"start_line": 130
} | module ConstructiveLogic
open FStar.Tactics.V2
(*
As you probably know by now, verification in F* works by first computing
verification conditions for terms, and then discharging them via the SMT
solver (when they are not trivial).
When a program fails to verify, the user can take one of many paths.
Firstly, one can increase the time limit of the SMT solver, or change
its configuration in the hope that the proof will go through. More
commonly, however, the programmer needs to give the SMT solver some
help in the form of new facts that it can use. We've seen examples of
this when we call lemmas within a function body in order to make it
verify. For instance, compare the following two examples (the first of
which fails).
*)
[@expect_failure]
let modulo_add_fail (p:pos) (a b c : int)
: Lemma (requires (b % p == c % p)) (ensures ((a + b) % p == (a + c) % p))
= ()
let modulo_add (p:pos) (a b c : int)
: Lemma (requires (b % p == c % p)) (ensures ((a + b) % p == (a + c) % p))
= FStar.Math.Lemmas.modulo_distributivity a b p;
FStar.Math.Lemmas.modulo_distributivity a c p
(*
This style of proving has two serious disadvantages. First, the goal
and set of hypotheses and not visible to the user, so proving usually
involves some trial and error. Second, there is no automation: the user
is responsible for writing all intermediate assertions and lemma calls,
which also clutter the proof/program.
With tactics, we can do better. We can inspect the "proof state",
i.e. the hypotheses we have and goal we have to solve, and implement
automated proof procedures. We can use tactics to do non-trivial proofs
without the SMT solver, or to simply give it some help when that's more
convenient. In this file we will mostly focus on the first alternative.
To get our feet wet, we will start with some simple examples of logical
propositions. The SMT is very good at this, but we will not use it at
all in the following examples.
Let us prove that implication is reflexive. We will use some tactics
from the `FStar.Tactics.Logic` module, in order to introduce the
implication and use the hypothesis.
When the goal is an implication, `implies_intro` will introduce the
implication and return a `binder` which represents the variable that was
pushed into the context. In the example, we use this `binder` to solve
the goal via `hyp`.
*)
let ex1 (p : prop) =
assert (p ==> p)
by (let b = implies_intro () in
hyp (binding_to_namedv b))
(*
The `qed` tactic checks that there are no more open goals when called,
or fails. We can use it here to check that we have fully solved the
assertion via tactics.
*)
(* This would fail with: (Error) user tactic failed: qed: not done! *)
//let _ =
// assert True
// by (qed ())
let ex1_qed (p : prop) =
assert (p ==> p)
by (let b = implies_intro () in
hyp (binding_to_namedv b);
qed ())
(* Exercise: add intermediate `dump` calls to see how the proofstate evolves *)
(* The following examples are somewhat similar, try to follow them by looking
at the proof states. *)
let ex2 (p q : prop) =
assert (p ==> q ==> p)
by (let bp = implies_intro () in
let _ = implies_intro () in
hyp (binding_to_namedv bp);
qed ())
(*
We need some more interesting tactics in order to handle more kinds
of formulae, we now go over a few of them.
*)
(*
The `split` tactic will turn a goal that is a conjunction into separate
goals for each conjunct, which we can then solve independently.
*)
let ex3 (p q : prop) =
assert (p ==> q ==> q /\ p)
by (let bp = implies_intro () in
let bq = implies_intro () in
split ();
(* Now we have two goals: q and p *)
hyp (binding_to_namedv bq);
(* Only one goal left, p *)
hyp (binding_to_namedv bp);
(* Done! *)
qed ())
(* `destruct_and` can be used to destruct a conjunction and get hypotheses
for each conjunct. *)
let ex4 (p q : prop) =
assert (p /\ q ==> p)
by (let h = implies_intro () in
let (bp, bq) = destruct_and (binding_to_term h) in
hyp (binding_to_namedv bp);
qed ())
(* The `left` and `right` tactics solve a disjunction by reducing
it to the left or right disjunct accordingly. *)
let ex5 (p q : prop) =
assert (p ==> p \/ q)
by (let bp = implies_intro () in
left ();
hyp (binding_to_namedv bp);
qed ()) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Tactics.Effect.fsti.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": false,
"source_file": "ConstructiveLogic.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"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 | p: Prims.prop -> q: Prims.prop -> Prims.unit | Prims.Tot | [
"total"
] | [] | [
"Prims.prop",
"FStar.Tactics.Effect.assert_by_tactic",
"Prims.l_imp",
"Prims.l_or",
"Prims.unit",
"FStar.Tactics.V2.Derived.qed",
"FStar.Tactics.V2.Logic.hyp",
"FStar.Tactics.V2.SyntaxCoercions.binding_to_namedv",
"FStar.Tactics.V2.Logic.right",
"FStar.Tactics.NamedView.binding",
"FStar.Tactics.V2.Logic.implies_intro"
] | [] | false | false | false | true | false | let ex6 (p q: prop) =
| FStar.Tactics.Effect.assert_by_tactic (p ==> q \/ p)
(fun _ ->
();
(let bp = implies_intro () in
right ();
hyp (binding_to_namedv bp);
qed ())) | false |
|
ConstructiveLogic.fst | ConstructiveLogic.ex5 | val ex5 : p: Prims.prop -> q: Prims.prop -> Prims.unit | let ex5 (p q : prop) =
assert (p ==> p \/ q)
by (let bp = implies_intro () in
left ();
hyp (binding_to_namedv bp);
qed ()) | {
"file_name": "examples/tactics/eci19/ConstructiveLogic.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 17,
"end_line": 128,
"start_col": 0,
"start_line": 123
} | module ConstructiveLogic
open FStar.Tactics.V2
(*
As you probably know by now, verification in F* works by first computing
verification conditions for terms, and then discharging them via the SMT
solver (when they are not trivial).
When a program fails to verify, the user can take one of many paths.
Firstly, one can increase the time limit of the SMT solver, or change
its configuration in the hope that the proof will go through. More
commonly, however, the programmer needs to give the SMT solver some
help in the form of new facts that it can use. We've seen examples of
this when we call lemmas within a function body in order to make it
verify. For instance, compare the following two examples (the first of
which fails).
*)
[@expect_failure]
let modulo_add_fail (p:pos) (a b c : int)
: Lemma (requires (b % p == c % p)) (ensures ((a + b) % p == (a + c) % p))
= ()
let modulo_add (p:pos) (a b c : int)
: Lemma (requires (b % p == c % p)) (ensures ((a + b) % p == (a + c) % p))
= FStar.Math.Lemmas.modulo_distributivity a b p;
FStar.Math.Lemmas.modulo_distributivity a c p
(*
This style of proving has two serious disadvantages. First, the goal
and set of hypotheses and not visible to the user, so proving usually
involves some trial and error. Second, there is no automation: the user
is responsible for writing all intermediate assertions and lemma calls,
which also clutter the proof/program.
With tactics, we can do better. We can inspect the "proof state",
i.e. the hypotheses we have and goal we have to solve, and implement
automated proof procedures. We can use tactics to do non-trivial proofs
without the SMT solver, or to simply give it some help when that's more
convenient. In this file we will mostly focus on the first alternative.
To get our feet wet, we will start with some simple examples of logical
propositions. The SMT is very good at this, but we will not use it at
all in the following examples.
Let us prove that implication is reflexive. We will use some tactics
from the `FStar.Tactics.Logic` module, in order to introduce the
implication and use the hypothesis.
When the goal is an implication, `implies_intro` will introduce the
implication and return a `binder` which represents the variable that was
pushed into the context. In the example, we use this `binder` to solve
the goal via `hyp`.
*)
let ex1 (p : prop) =
assert (p ==> p)
by (let b = implies_intro () in
hyp (binding_to_namedv b))
(*
The `qed` tactic checks that there are no more open goals when called,
or fails. We can use it here to check that we have fully solved the
assertion via tactics.
*)
(* This would fail with: (Error) user tactic failed: qed: not done! *)
//let _ =
// assert True
// by (qed ())
let ex1_qed (p : prop) =
assert (p ==> p)
by (let b = implies_intro () in
hyp (binding_to_namedv b);
qed ())
(* Exercise: add intermediate `dump` calls to see how the proofstate evolves *)
(* The following examples are somewhat similar, try to follow them by looking
at the proof states. *)
let ex2 (p q : prop) =
assert (p ==> q ==> p)
by (let bp = implies_intro () in
let _ = implies_intro () in
hyp (binding_to_namedv bp);
qed ())
(*
We need some more interesting tactics in order to handle more kinds
of formulae, we now go over a few of them.
*)
(*
The `split` tactic will turn a goal that is a conjunction into separate
goals for each conjunct, which we can then solve independently.
*)
let ex3 (p q : prop) =
assert (p ==> q ==> q /\ p)
by (let bp = implies_intro () in
let bq = implies_intro () in
split ();
(* Now we have two goals: q and p *)
hyp (binding_to_namedv bq);
(* Only one goal left, p *)
hyp (binding_to_namedv bp);
(* Done! *)
qed ())
(* `destruct_and` can be used to destruct a conjunction and get hypotheses
for each conjunct. *)
let ex4 (p q : prop) =
assert (p /\ q ==> p)
by (let h = implies_intro () in
let (bp, bq) = destruct_and (binding_to_term h) in
hyp (binding_to_namedv bp);
qed ())
(* The `left` and `right` tactics solve a disjunction by reducing | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Tactics.Effect.fsti.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": false,
"source_file": "ConstructiveLogic.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"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 | p: Prims.prop -> q: Prims.prop -> Prims.unit | Prims.Tot | [
"total"
] | [] | [
"Prims.prop",
"FStar.Tactics.Effect.assert_by_tactic",
"Prims.l_imp",
"Prims.l_or",
"Prims.unit",
"FStar.Tactics.V2.Derived.qed",
"FStar.Tactics.V2.Logic.hyp",
"FStar.Tactics.V2.SyntaxCoercions.binding_to_namedv",
"FStar.Tactics.V2.Logic.left",
"FStar.Tactics.NamedView.binding",
"FStar.Tactics.V2.Logic.implies_intro"
] | [] | false | false | false | true | false | let ex5 (p q: prop) =
| FStar.Tactics.Effect.assert_by_tactic (p ==> p \/ q)
(fun _ ->
();
(let bp = implies_intro () in
left ();
hyp (binding_to_namedv bp);
qed ())) | false |
|
ConstructiveLogic.fst | ConstructiveLogic.ex13 | val ex13 : p: (_: Prims.nat -> Prims.prop) -> q: (_: Prims.nat -> Prims.prop) -> Prims.unit | let ex13 (p q : nat -> prop) =
assert ((forall x. p x /\ q x) ==> (exists x. p x \/ q x))
by (tadmit ()) | {
"file_name": "examples/tactics/eci19/ConstructiveLogic.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 20,
"end_line": 199,
"start_col": 0,
"start_line": 197
} | module ConstructiveLogic
open FStar.Tactics.V2
(*
As you probably know by now, verification in F* works by first computing
verification conditions for terms, and then discharging them via the SMT
solver (when they are not trivial).
When a program fails to verify, the user can take one of many paths.
Firstly, one can increase the time limit of the SMT solver, or change
its configuration in the hope that the proof will go through. More
commonly, however, the programmer needs to give the SMT solver some
help in the form of new facts that it can use. We've seen examples of
this when we call lemmas within a function body in order to make it
verify. For instance, compare the following two examples (the first of
which fails).
*)
[@expect_failure]
let modulo_add_fail (p:pos) (a b c : int)
: Lemma (requires (b % p == c % p)) (ensures ((a + b) % p == (a + c) % p))
= ()
let modulo_add (p:pos) (a b c : int)
: Lemma (requires (b % p == c % p)) (ensures ((a + b) % p == (a + c) % p))
= FStar.Math.Lemmas.modulo_distributivity a b p;
FStar.Math.Lemmas.modulo_distributivity a c p
(*
This style of proving has two serious disadvantages. First, the goal
and set of hypotheses and not visible to the user, so proving usually
involves some trial and error. Second, there is no automation: the user
is responsible for writing all intermediate assertions and lemma calls,
which also clutter the proof/program.
With tactics, we can do better. We can inspect the "proof state",
i.e. the hypotheses we have and goal we have to solve, and implement
automated proof procedures. We can use tactics to do non-trivial proofs
without the SMT solver, or to simply give it some help when that's more
convenient. In this file we will mostly focus on the first alternative.
To get our feet wet, we will start with some simple examples of logical
propositions. The SMT is very good at this, but we will not use it at
all in the following examples.
Let us prove that implication is reflexive. We will use some tactics
from the `FStar.Tactics.Logic` module, in order to introduce the
implication and use the hypothesis.
When the goal is an implication, `implies_intro` will introduce the
implication and return a `binder` which represents the variable that was
pushed into the context. In the example, we use this `binder` to solve
the goal via `hyp`.
*)
let ex1 (p : prop) =
assert (p ==> p)
by (let b = implies_intro () in
hyp (binding_to_namedv b))
(*
The `qed` tactic checks that there are no more open goals when called,
or fails. We can use it here to check that we have fully solved the
assertion via tactics.
*)
(* This would fail with: (Error) user tactic failed: qed: not done! *)
//let _ =
// assert True
// by (qed ())
let ex1_qed (p : prop) =
assert (p ==> p)
by (let b = implies_intro () in
hyp (binding_to_namedv b);
qed ())
(* Exercise: add intermediate `dump` calls to see how the proofstate evolves *)
(* The following examples are somewhat similar, try to follow them by looking
at the proof states. *)
let ex2 (p q : prop) =
assert (p ==> q ==> p)
by (let bp = implies_intro () in
let _ = implies_intro () in
hyp (binding_to_namedv bp);
qed ())
(*
We need some more interesting tactics in order to handle more kinds
of formulae, we now go over a few of them.
*)
(*
The `split` tactic will turn a goal that is a conjunction into separate
goals for each conjunct, which we can then solve independently.
*)
let ex3 (p q : prop) =
assert (p ==> q ==> q /\ p)
by (let bp = implies_intro () in
let bq = implies_intro () in
split ();
(* Now we have two goals: q and p *)
hyp (binding_to_namedv bq);
(* Only one goal left, p *)
hyp (binding_to_namedv bp);
(* Done! *)
qed ())
(* `destruct_and` can be used to destruct a conjunction and get hypotheses
for each conjunct. *)
let ex4 (p q : prop) =
assert (p /\ q ==> p)
by (let h = implies_intro () in
let (bp, bq) = destruct_and (binding_to_term h) in
hyp (binding_to_namedv bp);
qed ())
(* The `left` and `right` tactics solve a disjunction by reducing
it to the left or right disjunct accordingly. *)
let ex5 (p q : prop) =
assert (p ==> p \/ q)
by (let bp = implies_intro () in
left ();
hyp (binding_to_namedv bp);
qed ())
let ex6 (p q : prop) =
assert (p ==> q \/ p)
by (let bp = implies_intro () in
right ();
hyp (binding_to_namedv bp);
qed ())
(* `cases_or` instead destroys a disjunction `p \/ q`, and splits the
`phi` goal into `p ==> phi` and `q ==> phi`. *)
let ex7 (p q : prop) =
assert (p \/ q ==> q \/ p)
by (let bp_or_q = implies_intro () in
cases_or (binding_to_term bp_or_q);
(* first case *)
let bp = implies_intro () in
right ();
hyp (binding_to_namedv bp);
(* second case *)
let bq = implies_intro () in
left ();
hyp (binding_to_namedv bq);
qed ())
(* To use an implication, we can use the `mapply` tactic. This tactic
takes a `term` argument, so we need to cast the `binder` to a `term` via
`binder_to_term`. *)
let ex8 (p q : prop) =
assert ((p ==> q) ==> p ==> q)
by (let i = implies_intro () in
let h = implies_intro () in
mapply i;
mapply h;
qed ())
(* `forall_intro` will turn a goal of the shape `forall (x:t). phi` into
`phi`, while adding a variable `x` (of type `t`) to the context and
returning a binder for it. *)
let ex9 (p : prop) =
assert (p ==> (forall (_x:int). p))
by (let bp = implies_intro () in
let _bx = forall_intro () in
hyp (binding_to_namedv bp);
qed ())
(* `instantiate` will instantiate a forall with some particular term
and add the new hypothesis to the context. The `witness` tactic solves
an existential goal with the explicit witness, but requires a proof of
the property. Here we use zero as the witness, via a static quotation
(`0) (more about quotations on a next chapter). *)
let ex10 (p : int -> prop) =
assert ((forall x. p x) ==> (exists x. p x))
by (let bf = implies_intro () in
witness (`0);
let bp0 = instantiate (binding_to_term bf) (`0) in
hyp (binding_to_namedv bp0))
(* Exercises: do these proofs constructively, and make sure to end with
a `qed ()` to check that the SMT solver is not used. *)
let ex11 (p q : nat -> prop) =
assert ((forall x. p x) ==> (forall x. p x \/ q x))
by (smt ())
let ex12 (p q : nat -> prop) =
assert ((forall x. p x /\ q x) ==> (forall x. p x))
by (smt ()) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Tactics.Effect.fsti.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": false,
"source_file": "ConstructiveLogic.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"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 | p: (_: Prims.nat -> Prims.prop) -> q: (_: Prims.nat -> Prims.prop) -> Prims.unit | Prims.Tot | [
"total"
] | [] | [
"Prims.nat",
"Prims.prop",
"FStar.Tactics.Effect.assert_by_tactic",
"Prims.l_imp",
"Prims.l_Forall",
"Prims.l_and",
"Prims.l_Exists",
"Prims.l_or",
"Prims.unit",
"FStar.Tactics.V2.Derived.tadmit"
] | [] | false | false | false | true | false | let ex13 (p q: (nat -> prop)) =
| FStar.Tactics.Effect.assert_by_tactic ((forall x. p x /\ q x) ==> (exists x. p x \/ q x))
(fun _ ->
();
(tadmit ())) | false |
|
ConstructiveLogic.fst | ConstructiveLogic.ex4 | val ex4 : p: Prims.prop -> q: Prims.prop -> Prims.unit | let ex4 (p q : prop) =
assert (p /\ q ==> p)
by (let h = implies_intro () in
let (bp, bq) = destruct_and (binding_to_term h) in
hyp (binding_to_namedv bp);
qed ()) | {
"file_name": "examples/tactics/eci19/ConstructiveLogic.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 17,
"end_line": 119,
"start_col": 0,
"start_line": 114
} | module ConstructiveLogic
open FStar.Tactics.V2
(*
As you probably know by now, verification in F* works by first computing
verification conditions for terms, and then discharging them via the SMT
solver (when they are not trivial).
When a program fails to verify, the user can take one of many paths.
Firstly, one can increase the time limit of the SMT solver, or change
its configuration in the hope that the proof will go through. More
commonly, however, the programmer needs to give the SMT solver some
help in the form of new facts that it can use. We've seen examples of
this when we call lemmas within a function body in order to make it
verify. For instance, compare the following two examples (the first of
which fails).
*)
[@expect_failure]
let modulo_add_fail (p:pos) (a b c : int)
: Lemma (requires (b % p == c % p)) (ensures ((a + b) % p == (a + c) % p))
= ()
let modulo_add (p:pos) (a b c : int)
: Lemma (requires (b % p == c % p)) (ensures ((a + b) % p == (a + c) % p))
= FStar.Math.Lemmas.modulo_distributivity a b p;
FStar.Math.Lemmas.modulo_distributivity a c p
(*
This style of proving has two serious disadvantages. First, the goal
and set of hypotheses and not visible to the user, so proving usually
involves some trial and error. Second, there is no automation: the user
is responsible for writing all intermediate assertions and lemma calls,
which also clutter the proof/program.
With tactics, we can do better. We can inspect the "proof state",
i.e. the hypotheses we have and goal we have to solve, and implement
automated proof procedures. We can use tactics to do non-trivial proofs
without the SMT solver, or to simply give it some help when that's more
convenient. In this file we will mostly focus on the first alternative.
To get our feet wet, we will start with some simple examples of logical
propositions. The SMT is very good at this, but we will not use it at
all in the following examples.
Let us prove that implication is reflexive. We will use some tactics
from the `FStar.Tactics.Logic` module, in order to introduce the
implication and use the hypothesis.
When the goal is an implication, `implies_intro` will introduce the
implication and return a `binder` which represents the variable that was
pushed into the context. In the example, we use this `binder` to solve
the goal via `hyp`.
*)
let ex1 (p : prop) =
assert (p ==> p)
by (let b = implies_intro () in
hyp (binding_to_namedv b))
(*
The `qed` tactic checks that there are no more open goals when called,
or fails. We can use it here to check that we have fully solved the
assertion via tactics.
*)
(* This would fail with: (Error) user tactic failed: qed: not done! *)
//let _ =
// assert True
// by (qed ())
let ex1_qed (p : prop) =
assert (p ==> p)
by (let b = implies_intro () in
hyp (binding_to_namedv b);
qed ())
(* Exercise: add intermediate `dump` calls to see how the proofstate evolves *)
(* The following examples are somewhat similar, try to follow them by looking
at the proof states. *)
let ex2 (p q : prop) =
assert (p ==> q ==> p)
by (let bp = implies_intro () in
let _ = implies_intro () in
hyp (binding_to_namedv bp);
qed ())
(*
We need some more interesting tactics in order to handle more kinds
of formulae, we now go over a few of them.
*)
(*
The `split` tactic will turn a goal that is a conjunction into separate
goals for each conjunct, which we can then solve independently.
*)
let ex3 (p q : prop) =
assert (p ==> q ==> q /\ p)
by (let bp = implies_intro () in
let bq = implies_intro () in
split ();
(* Now we have two goals: q and p *)
hyp (binding_to_namedv bq);
(* Only one goal left, p *)
hyp (binding_to_namedv bp);
(* Done! *)
qed ())
(* `destruct_and` can be used to destruct a conjunction and get hypotheses | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Tactics.Effect.fsti.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": false,
"source_file": "ConstructiveLogic.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"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 | p: Prims.prop -> q: Prims.prop -> Prims.unit | Prims.Tot | [
"total"
] | [] | [
"Prims.prop",
"FStar.Tactics.Effect.assert_by_tactic",
"Prims.l_imp",
"Prims.l_and",
"Prims.unit",
"FStar.Tactics.NamedView.binding",
"FStar.Tactics.V2.Derived.qed",
"FStar.Tactics.V2.Logic.hyp",
"FStar.Tactics.V2.SyntaxCoercions.binding_to_namedv",
"FStar.Pervasives.Native.tuple2",
"FStar.Tactics.V2.Logic.destruct_and",
"FStar.Tactics.V2.SyntaxCoercions.binding_to_term",
"FStar.Tactics.V2.Logic.implies_intro"
] | [] | false | false | false | true | false | let ex4 (p q: prop) =
| FStar.Tactics.Effect.assert_by_tactic (p /\ q ==> p)
(fun _ ->
();
(let h = implies_intro () in
let bp, bq = destruct_and (binding_to_term h) in
hyp (binding_to_namedv bp);
qed ())) | false |
|
ConstructiveLogic.fst | ConstructiveLogic.ex8 | val ex8 : p: Prims.prop -> q: Prims.prop -> Prims.unit | let ex8 (p q : prop) =
assert ((p ==> q) ==> p ==> q)
by (let i = implies_intro () in
let h = implies_intro () in
mapply i;
mapply h;
qed ()) | {
"file_name": "examples/tactics/eci19/ConstructiveLogic.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 17,
"end_line": 162,
"start_col": 0,
"start_line": 156
} | module ConstructiveLogic
open FStar.Tactics.V2
(*
As you probably know by now, verification in F* works by first computing
verification conditions for terms, and then discharging them via the SMT
solver (when they are not trivial).
When a program fails to verify, the user can take one of many paths.
Firstly, one can increase the time limit of the SMT solver, or change
its configuration in the hope that the proof will go through. More
commonly, however, the programmer needs to give the SMT solver some
help in the form of new facts that it can use. We've seen examples of
this when we call lemmas within a function body in order to make it
verify. For instance, compare the following two examples (the first of
which fails).
*)
[@expect_failure]
let modulo_add_fail (p:pos) (a b c : int)
: Lemma (requires (b % p == c % p)) (ensures ((a + b) % p == (a + c) % p))
= ()
let modulo_add (p:pos) (a b c : int)
: Lemma (requires (b % p == c % p)) (ensures ((a + b) % p == (a + c) % p))
= FStar.Math.Lemmas.modulo_distributivity a b p;
FStar.Math.Lemmas.modulo_distributivity a c p
(*
This style of proving has two serious disadvantages. First, the goal
and set of hypotheses and not visible to the user, so proving usually
involves some trial and error. Second, there is no automation: the user
is responsible for writing all intermediate assertions and lemma calls,
which also clutter the proof/program.
With tactics, we can do better. We can inspect the "proof state",
i.e. the hypotheses we have and goal we have to solve, and implement
automated proof procedures. We can use tactics to do non-trivial proofs
without the SMT solver, or to simply give it some help when that's more
convenient. In this file we will mostly focus on the first alternative.
To get our feet wet, we will start with some simple examples of logical
propositions. The SMT is very good at this, but we will not use it at
all in the following examples.
Let us prove that implication is reflexive. We will use some tactics
from the `FStar.Tactics.Logic` module, in order to introduce the
implication and use the hypothesis.
When the goal is an implication, `implies_intro` will introduce the
implication and return a `binder` which represents the variable that was
pushed into the context. In the example, we use this `binder` to solve
the goal via `hyp`.
*)
let ex1 (p : prop) =
assert (p ==> p)
by (let b = implies_intro () in
hyp (binding_to_namedv b))
(*
The `qed` tactic checks that there are no more open goals when called,
or fails. We can use it here to check that we have fully solved the
assertion via tactics.
*)
(* This would fail with: (Error) user tactic failed: qed: not done! *)
//let _ =
// assert True
// by (qed ())
let ex1_qed (p : prop) =
assert (p ==> p)
by (let b = implies_intro () in
hyp (binding_to_namedv b);
qed ())
(* Exercise: add intermediate `dump` calls to see how the proofstate evolves *)
(* The following examples are somewhat similar, try to follow them by looking
at the proof states. *)
let ex2 (p q : prop) =
assert (p ==> q ==> p)
by (let bp = implies_intro () in
let _ = implies_intro () in
hyp (binding_to_namedv bp);
qed ())
(*
We need some more interesting tactics in order to handle more kinds
of formulae, we now go over a few of them.
*)
(*
The `split` tactic will turn a goal that is a conjunction into separate
goals for each conjunct, which we can then solve independently.
*)
let ex3 (p q : prop) =
assert (p ==> q ==> q /\ p)
by (let bp = implies_intro () in
let bq = implies_intro () in
split ();
(* Now we have two goals: q and p *)
hyp (binding_to_namedv bq);
(* Only one goal left, p *)
hyp (binding_to_namedv bp);
(* Done! *)
qed ())
(* `destruct_and` can be used to destruct a conjunction and get hypotheses
for each conjunct. *)
let ex4 (p q : prop) =
assert (p /\ q ==> p)
by (let h = implies_intro () in
let (bp, bq) = destruct_and (binding_to_term h) in
hyp (binding_to_namedv bp);
qed ())
(* The `left` and `right` tactics solve a disjunction by reducing
it to the left or right disjunct accordingly. *)
let ex5 (p q : prop) =
assert (p ==> p \/ q)
by (let bp = implies_intro () in
left ();
hyp (binding_to_namedv bp);
qed ())
let ex6 (p q : prop) =
assert (p ==> q \/ p)
by (let bp = implies_intro () in
right ();
hyp (binding_to_namedv bp);
qed ())
(* `cases_or` instead destroys a disjunction `p \/ q`, and splits the
`phi` goal into `p ==> phi` and `q ==> phi`. *)
let ex7 (p q : prop) =
assert (p \/ q ==> q \/ p)
by (let bp_or_q = implies_intro () in
cases_or (binding_to_term bp_or_q);
(* first case *)
let bp = implies_intro () in
right ();
hyp (binding_to_namedv bp);
(* second case *)
let bq = implies_intro () in
left ();
hyp (binding_to_namedv bq);
qed ())
(* To use an implication, we can use the `mapply` tactic. This tactic
takes a `term` argument, so we need to cast the `binder` to a `term` via | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Tactics.Effect.fsti.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": false,
"source_file": "ConstructiveLogic.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"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 | p: Prims.prop -> q: Prims.prop -> Prims.unit | Prims.Tot | [
"total"
] | [] | [
"Prims.prop",
"FStar.Tactics.Effect.assert_by_tactic",
"Prims.l_imp",
"Prims.unit",
"FStar.Tactics.V2.Derived.qed",
"FStar.Tactics.MApply.mapply",
"FStar.Tactics.NamedView.binding",
"FStar.Tactics.MApply.termable_binding",
"FStar.Tactics.V2.Logic.implies_intro"
] | [] | false | false | false | true | false | let ex8 (p q: prop) =
| FStar.Tactics.Effect.assert_by_tactic ((p ==> q) ==> p ==> q)
(fun _ ->
();
(let i = implies_intro () in
let h = implies_intro () in
mapply i;
mapply h;
qed ())) | false |
|
ConstructiveLogic.fst | ConstructiveLogic.ex3 | val ex3 : p: Prims.prop -> q: Prims.prop -> Prims.unit | let ex3 (p q : prop) =
assert (p ==> q ==> q /\ p)
by (let bp = implies_intro () in
let bq = implies_intro () in
split ();
(* Now we have two goals: q and p *)
hyp (binding_to_namedv bq);
(* Only one goal left, p *)
hyp (binding_to_namedv bp);
(* Done! *)
qed ()) | {
"file_name": "examples/tactics/eci19/ConstructiveLogic.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 17,
"end_line": 110,
"start_col": 0,
"start_line": 100
} | module ConstructiveLogic
open FStar.Tactics.V2
(*
As you probably know by now, verification in F* works by first computing
verification conditions for terms, and then discharging them via the SMT
solver (when they are not trivial).
When a program fails to verify, the user can take one of many paths.
Firstly, one can increase the time limit of the SMT solver, or change
its configuration in the hope that the proof will go through. More
commonly, however, the programmer needs to give the SMT solver some
help in the form of new facts that it can use. We've seen examples of
this when we call lemmas within a function body in order to make it
verify. For instance, compare the following two examples (the first of
which fails).
*)
[@expect_failure]
let modulo_add_fail (p:pos) (a b c : int)
: Lemma (requires (b % p == c % p)) (ensures ((a + b) % p == (a + c) % p))
= ()
let modulo_add (p:pos) (a b c : int)
: Lemma (requires (b % p == c % p)) (ensures ((a + b) % p == (a + c) % p))
= FStar.Math.Lemmas.modulo_distributivity a b p;
FStar.Math.Lemmas.modulo_distributivity a c p
(*
This style of proving has two serious disadvantages. First, the goal
and set of hypotheses and not visible to the user, so proving usually
involves some trial and error. Second, there is no automation: the user
is responsible for writing all intermediate assertions and lemma calls,
which also clutter the proof/program.
With tactics, we can do better. We can inspect the "proof state",
i.e. the hypotheses we have and goal we have to solve, and implement
automated proof procedures. We can use tactics to do non-trivial proofs
without the SMT solver, or to simply give it some help when that's more
convenient. In this file we will mostly focus on the first alternative.
To get our feet wet, we will start with some simple examples of logical
propositions. The SMT is very good at this, but we will not use it at
all in the following examples.
Let us prove that implication is reflexive. We will use some tactics
from the `FStar.Tactics.Logic` module, in order to introduce the
implication and use the hypothesis.
When the goal is an implication, `implies_intro` will introduce the
implication and return a `binder` which represents the variable that was
pushed into the context. In the example, we use this `binder` to solve
the goal via `hyp`.
*)
let ex1 (p : prop) =
assert (p ==> p)
by (let b = implies_intro () in
hyp (binding_to_namedv b))
(*
The `qed` tactic checks that there are no more open goals when called,
or fails. We can use it here to check that we have fully solved the
assertion via tactics.
*)
(* This would fail with: (Error) user tactic failed: qed: not done! *)
//let _ =
// assert True
// by (qed ())
let ex1_qed (p : prop) =
assert (p ==> p)
by (let b = implies_intro () in
hyp (binding_to_namedv b);
qed ())
(* Exercise: add intermediate `dump` calls to see how the proofstate evolves *)
(* The following examples are somewhat similar, try to follow them by looking
at the proof states. *)
let ex2 (p q : prop) =
assert (p ==> q ==> p)
by (let bp = implies_intro () in
let _ = implies_intro () in
hyp (binding_to_namedv bp);
qed ())
(*
We need some more interesting tactics in order to handle more kinds
of formulae, we now go over a few of them.
*)
(*
The `split` tactic will turn a goal that is a conjunction into separate
goals for each conjunct, which we can then solve independently. | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Tactics.Effect.fsti.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": false,
"source_file": "ConstructiveLogic.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"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 | p: Prims.prop -> q: Prims.prop -> Prims.unit | Prims.Tot | [
"total"
] | [] | [
"Prims.prop",
"FStar.Tactics.Effect.assert_by_tactic",
"Prims.l_imp",
"Prims.l_and",
"Prims.unit",
"FStar.Tactics.V2.Derived.qed",
"FStar.Tactics.V2.Logic.hyp",
"FStar.Tactics.V2.SyntaxCoercions.binding_to_namedv",
"FStar.Tactics.V2.Logic.split",
"FStar.Tactics.NamedView.binding",
"FStar.Tactics.V2.Logic.implies_intro"
] | [] | false | false | false | true | false | let ex3 (p q: prop) =
| FStar.Tactics.Effect.assert_by_tactic (p ==> q ==> q /\ p)
(fun _ ->
();
(let bp = implies_intro () in
let bq = implies_intro () in
split ();
hyp (binding_to_namedv bq);
hyp (binding_to_namedv bp);
qed ())) | false |
|
Vale.X64.InsAes.fst | Vale.X64.InsAes.va_wpProof_AESNI_dec | val va_wpProof_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_dec dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_dec dst src) ([va_Mod_flags;
va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) | val va_wpProof_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_dec dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_dec dst src) ([va_Mod_flags;
va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) | let va_wpProof_AESNI_dec dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_dec (va_code_AESNI_dec dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.X64.InsAes.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 267,
"start_col": 0,
"start_line": 260
} | module Vale.X64.InsAes
open Vale.Def.Types_s
open Vale.X64.Machine_s
open Vale.X64
open Vale.X64.State
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.Decls
open Vale.X64.CPU_Features_s
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
module P = Vale.X64.Print_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 4 --max_fuel 4 --z3rlimit 20"
//-- Pclmulqdq
[@ "opaque_to_smt"]
let va_code_Pclmulqdq dst src dstHi srcHi =
(mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16 else 0)))
(OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_Pclmulqdq dst src dstHi srcHi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Pclmulqdq va_b0 va_s0 dst src dstHi srcHi =
va_reveal_opaque (`%va_code_Pclmulqdq) (va_code_Pclmulqdq dst src dstHi srcHi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16
else 0))) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) +
(if srcHi then 16 else 0))) (OReg dst) (OReg src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Pclmulqdq dst src dstHi srcHi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Pclmulqdq (va_code_Pclmulqdq dst src dstHi srcHi) va_s0 dst src
dstHi srcHi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VPclmulqdq
[@ "opaque_to_smt"]
let va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then 16 else 0)))
(OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VPclmulqdq va_b0 va_s0 dst src1 src2 src1Hi src2Hi =
va_reveal_opaque (`%va_code_VPclmulqdq) (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then
16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0)
+ (if src2Hi then 16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VPclmulqdq dst src1 src2 src1Hi src2Hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VPclmulqdq (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi) va_s0
dst src1 src2 src1Hi src2Hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc
[@ "opaque_to_smt"]
let va_code_AESNI_enc dst src =
(mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc) (va_code_AESNI_enc dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc (va_code_AESNI_enc dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc
[@ "opaque_to_smt"]
let va_code_VAESNI_enc dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc) (va_code_VAESNI_enc dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1)
(OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc (va_code_VAESNI_enc dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc_last
[@ "opaque_to_smt"]
let va_code_AESNI_enc_last dst src =
(mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc_last dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc_last va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc_last) (va_code_AESNI_enc_last dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg
src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc_last dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc_last (va_code_AESNI_enc_last dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc_last
[@ "opaque_to_smt"]
let va_code_VAESNI_enc_last dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc_last dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc_last va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc_last) (va_code_VAESNI_enc_last dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2)))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg
src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc_last dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc_last (va_code_VAESNI_enc_last dst src1 src2) va_s0 dst
src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_dec
val va_code_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code
[@ "opaque_to_smt"]
let va_code_AESNI_dec dst src =
(mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src)))
val va_codegen_success_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_dec dst src =
(va_ttrue ())
val va_lemma_AESNI_dec : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm -> src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_dec dst src) va_s0 /\ va_is_dst_xmm dst va_s0 /\
va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_s.inv_mix_columns_LE
(Vale.AES.AES_common_s.inv_sub_bytes (Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0
dst)))) (va_eval_xmm va_s0 src) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM
(va_update_operand_xmm dst va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_AESNI_dec va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_dec) (va_code_AESNI_dec dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_dec (dst:va_operand_xmm) (src:va_operand_xmm) (va_s0:va_state) (va_k:(va_state ->
unit -> Type0)) : Type0 =
(va_is_dst_xmm dst va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled /\
(forall (va_x_dst:va_value_xmm) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl
(va_upd_operand_xmm dst va_x_dst va_s0) in va_get_ok va_sM /\ va_eval_xmm va_sM dst ==
Vale.Def.Types_s.quad32_xor (Vale.AES.AES_s.inv_mix_columns_LE
(Vale.AES.AES_common_s.inv_sub_bytes (Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0
dst)))) (va_eval_xmm va_s0 src) ==> va_k va_sM (())))
val va_wpProof_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_dec dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_dec dst src) ([va_Mod_flags;
va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.State.fsti.checked",
"Vale.X64.Print_s.fst.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.AES.AES_s.fst.checked",
"Vale.AES.AES_common_s.fst.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsAes.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Print_s",
"short_module": "P"
},
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"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.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"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": 4,
"initial_ifuel": 0,
"max_fuel": 4,
"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 |
dst: Vale.X64.Decls.va_operand_xmm ->
src: Vale.X64.Decls.va_operand_xmm ->
va_s0: Vale.X64.Decls.va_state ->
va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_operand_xmm",
"Vale.X64.Decls.va_state",
"Prims.unit",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.X64.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.X64.QuickCode.mod_t",
"Vale.X64.QuickCode.va_Mod_flags",
"Vale.X64.QuickCode.va_mod_xmm",
"Prims.Nil",
"Prims._assert",
"Vale.X64.Decls.va_state_eq",
"Vale.X64.Decls.va_update_flags",
"Vale.X64.Decls.va_update_ok",
"Vale.X64.Decls.va_update_operand_xmm",
"Vale.X64.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.X64.State.vale_state",
"Vale.X64.InsAes.va_lemma_AESNI_dec",
"Vale.X64.InsAes.va_code_AESNI_dec"
] | [] | false | false | false | false | false | let va_wpProof_AESNI_dec dst src va_s0 va_k =
| let va_sM, va_f0 = va_lemma_AESNI_dec (va_code_AESNI_dec dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM
(va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | false |
ConstructiveLogic.fst | ConstructiveLogic.ex9 | val ex9 : p: Prims.prop -> Prims.unit | let ex9 (p : prop) =
assert (p ==> (forall (_x:int). p))
by (let bp = implies_intro () in
let _bx = forall_intro () in
hyp (binding_to_namedv bp);
qed ()) | {
"file_name": "examples/tactics/eci19/ConstructiveLogic.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 17,
"end_line": 172,
"start_col": 0,
"start_line": 167
} | module ConstructiveLogic
open FStar.Tactics.V2
(*
As you probably know by now, verification in F* works by first computing
verification conditions for terms, and then discharging them via the SMT
solver (when they are not trivial).
When a program fails to verify, the user can take one of many paths.
Firstly, one can increase the time limit of the SMT solver, or change
its configuration in the hope that the proof will go through. More
commonly, however, the programmer needs to give the SMT solver some
help in the form of new facts that it can use. We've seen examples of
this when we call lemmas within a function body in order to make it
verify. For instance, compare the following two examples (the first of
which fails).
*)
[@expect_failure]
let modulo_add_fail (p:pos) (a b c : int)
: Lemma (requires (b % p == c % p)) (ensures ((a + b) % p == (a + c) % p))
= ()
let modulo_add (p:pos) (a b c : int)
: Lemma (requires (b % p == c % p)) (ensures ((a + b) % p == (a + c) % p))
= FStar.Math.Lemmas.modulo_distributivity a b p;
FStar.Math.Lemmas.modulo_distributivity a c p
(*
This style of proving has two serious disadvantages. First, the goal
and set of hypotheses and not visible to the user, so proving usually
involves some trial and error. Second, there is no automation: the user
is responsible for writing all intermediate assertions and lemma calls,
which also clutter the proof/program.
With tactics, we can do better. We can inspect the "proof state",
i.e. the hypotheses we have and goal we have to solve, and implement
automated proof procedures. We can use tactics to do non-trivial proofs
without the SMT solver, or to simply give it some help when that's more
convenient. In this file we will mostly focus on the first alternative.
To get our feet wet, we will start with some simple examples of logical
propositions. The SMT is very good at this, but we will not use it at
all in the following examples.
Let us prove that implication is reflexive. We will use some tactics
from the `FStar.Tactics.Logic` module, in order to introduce the
implication and use the hypothesis.
When the goal is an implication, `implies_intro` will introduce the
implication and return a `binder` which represents the variable that was
pushed into the context. In the example, we use this `binder` to solve
the goal via `hyp`.
*)
let ex1 (p : prop) =
assert (p ==> p)
by (let b = implies_intro () in
hyp (binding_to_namedv b))
(*
The `qed` tactic checks that there are no more open goals when called,
or fails. We can use it here to check that we have fully solved the
assertion via tactics.
*)
(* This would fail with: (Error) user tactic failed: qed: not done! *)
//let _ =
// assert True
// by (qed ())
let ex1_qed (p : prop) =
assert (p ==> p)
by (let b = implies_intro () in
hyp (binding_to_namedv b);
qed ())
(* Exercise: add intermediate `dump` calls to see how the proofstate evolves *)
(* The following examples are somewhat similar, try to follow them by looking
at the proof states. *)
let ex2 (p q : prop) =
assert (p ==> q ==> p)
by (let bp = implies_intro () in
let _ = implies_intro () in
hyp (binding_to_namedv bp);
qed ())
(*
We need some more interesting tactics in order to handle more kinds
of formulae, we now go over a few of them.
*)
(*
The `split` tactic will turn a goal that is a conjunction into separate
goals for each conjunct, which we can then solve independently.
*)
let ex3 (p q : prop) =
assert (p ==> q ==> q /\ p)
by (let bp = implies_intro () in
let bq = implies_intro () in
split ();
(* Now we have two goals: q and p *)
hyp (binding_to_namedv bq);
(* Only one goal left, p *)
hyp (binding_to_namedv bp);
(* Done! *)
qed ())
(* `destruct_and` can be used to destruct a conjunction and get hypotheses
for each conjunct. *)
let ex4 (p q : prop) =
assert (p /\ q ==> p)
by (let h = implies_intro () in
let (bp, bq) = destruct_and (binding_to_term h) in
hyp (binding_to_namedv bp);
qed ())
(* The `left` and `right` tactics solve a disjunction by reducing
it to the left or right disjunct accordingly. *)
let ex5 (p q : prop) =
assert (p ==> p \/ q)
by (let bp = implies_intro () in
left ();
hyp (binding_to_namedv bp);
qed ())
let ex6 (p q : prop) =
assert (p ==> q \/ p)
by (let bp = implies_intro () in
right ();
hyp (binding_to_namedv bp);
qed ())
(* `cases_or` instead destroys a disjunction `p \/ q`, and splits the
`phi` goal into `p ==> phi` and `q ==> phi`. *)
let ex7 (p q : prop) =
assert (p \/ q ==> q \/ p)
by (let bp_or_q = implies_intro () in
cases_or (binding_to_term bp_or_q);
(* first case *)
let bp = implies_intro () in
right ();
hyp (binding_to_namedv bp);
(* second case *)
let bq = implies_intro () in
left ();
hyp (binding_to_namedv bq);
qed ())
(* To use an implication, we can use the `mapply` tactic. This tactic
takes a `term` argument, so we need to cast the `binder` to a `term` via
`binder_to_term`. *)
let ex8 (p q : prop) =
assert ((p ==> q) ==> p ==> q)
by (let i = implies_intro () in
let h = implies_intro () in
mapply i;
mapply h;
qed ())
(* `forall_intro` will turn a goal of the shape `forall (x:t). phi` into
`phi`, while adding a variable `x` (of type `t`) to the context and | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Tactics.Effect.fsti.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": false,
"source_file": "ConstructiveLogic.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"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 | p: Prims.prop -> Prims.unit | Prims.Tot | [
"total"
] | [] | [
"Prims.prop",
"FStar.Tactics.Effect.assert_by_tactic",
"Prims.l_imp",
"Prims.l_Forall",
"Prims.int",
"Prims.unit",
"FStar.Tactics.V2.Derived.qed",
"FStar.Tactics.V2.Logic.hyp",
"FStar.Tactics.V2.SyntaxCoercions.binding_to_namedv",
"FStar.Tactics.NamedView.binding",
"FStar.Tactics.V2.Logic.forall_intro",
"FStar.Tactics.V2.Logic.implies_intro"
] | [] | false | false | false | true | false | let ex9 (p: prop) =
| FStar.Tactics.Effect.assert_by_tactic (p ==> (forall (_x: int). p))
(fun _ ->
();
(let bp = implies_intro () in
let _bx = forall_intro () in
hyp (binding_to_namedv bp);
qed ())) | false |
|
Vale.PPC64LE.Memory_Sems.fst | Vale.PPC64LE.Memory_Sems.low_lemma_store_mem128_lo64 | val low_lemma_store_mem128_lo64 (b:buffer128) (i:nat) (v:nat64) (h:vale_heap) : Lemma
(requires
i < Seq.length (buffer_as_seq h b) /\
buffer_readable h b /\
buffer_writeable b
)
(ensures (
let v' = insert_nat64 (buffer_read b i h) v 0 in
let m = S.update_heap64 (buffer_addr b h + scale16 i) v (get_heap h) in
is_machine_heap_update (get_heap h) m /\ upd_heap h m == buffer_write b i v' h
)) | val low_lemma_store_mem128_lo64 (b:buffer128) (i:nat) (v:nat64) (h:vale_heap) : Lemma
(requires
i < Seq.length (buffer_as_seq h b) /\
buffer_readable h b /\
buffer_writeable b
)
(ensures (
let v' = insert_nat64 (buffer_read b i h) v 0 in
let m = S.update_heap64 (buffer_addr b h + scale16 i) v (get_heap h) in
is_machine_heap_update (get_heap h) m /\ upd_heap h m == buffer_write b i v' h
)) | let low_lemma_store_mem128_lo64 b i v h =
let ptr = buffer_addr b h + scale16 i in
let v128 = buffer_read b i h in
let v' = insert_nat64 v128 v 0 in
low_lemma_load_mem128 b i h;
low_lemma_store_mem128 b i v' h;
S.get_heap_val128_reveal ();
update_heap128_lo ptr v' (get_heap h);
S.update_heap64_reveal ();
S.update_heap32_reveal ();
insert_nat64_reveal () | {
"file_name": "vale/code/arch/ppc64le/Vale.PPC64LE.Memory_Sems.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 24,
"end_line": 1083,
"start_col": 0,
"start_line": 1073
} | module Vale.PPC64LE.Memory_Sems
open FStar.Mul
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.Def.Words_s
module I = Vale.Interop
module S = Vale.PPC64LE.Semantics_s
module MB = LowStar.Monotonic.Buffer
module UV = LowStar.BufferView.Up
module DV = LowStar.BufferView.Down
open Vale.Lib.BufferViewHelpers
open Vale.Arch.HeapImpl
open Vale.Arch.Heap
friend Vale.PPC64LE.Memory
module IB = Vale.Interop.Base
let same_domain h m = Set.equal (IB.addrs_set (_ih h)) (Map.domain m)
let lemma_same_domains h m1 m2 = ()
let get_heap h = I.down_mem (_ih h)
let upd_heap h m = mi_heap_upd h m
//let lemma_upd_get_heap h = I.down_up_identity (_ih h)
let lemma_get_upd_heap h m = I.up_down_identity (_ih h) m
let lemma_heap_impl = ()
let lemma_heap_get_heap h = ()
let lemma_heap_taint h = ()
//let lemma_heap_upd_heap h mh mt = ()
[@"opaque_to_smt"]
let rec set_of_range (a:int) (n:nat) : Pure (Set.set int)
(requires True)
(ensures fun s -> (forall (i:int).{:pattern Set.mem i s} Set.mem i s <==> a <= i /\ i < a + n))
=
if n = 0 then Set.empty else Set.union (set_of_range a (n - 1)) (Set.singleton (a + n - 1))
let buffer_info_has_addr (bi:buffer_info) (a:int) =
let b = bi.bi_buffer in
let addr = Vale.Interop.Heap_s.global_addrs_map b in
let len = DV.length (get_downview b.bsrc) in
addr <= a /\ a < addr + len
let buffer_info_has_addr_opt (bi:option buffer_info) (a:int) =
match bi with
| None -> False
| Some bi -> buffer_info_has_addr bi a
#set-options "--z3rlimit 100"
let rec make_owns_rec (h:vale_heap) (bs:Seq.seq buffer_info) (n:nat{n <= Seq.length bs}) :
GTot ((int -> option (n:nat{n < Seq.length bs})) & (heaplet_id -> Set.set int))
=
if n = 0 then ((fun _ -> None), (fun _ -> Set.empty)) else
let (m0, s0) = make_owns_rec h bs (n - 1) in
let bi = Seq.index bs (n - 1) in
let b = bi.bi_buffer in
let hi = bi.bi_heaplet in
let addr = Vale.Interop.Heap_s.global_addrs_map b in
let len = DV.length (get_downview b.bsrc) in
let s_b = set_of_range addr len in
let s i = if i = hi then Set.union (s0 i) s_b else s0 i in
let m a = if addr <= a && a < addr + len then Some (n - 1) else m0 a in
(m, s)
[@"opaque_to_smt"]
let make_owns (h:vale_heap) (bs:Seq.seq buffer_info) (n:nat{n <= Seq.length bs}) :
GTot ((int -> option (n:nat{n < Seq.length bs})) & (heaplet_id -> Set.set int))
=
make_owns_rec h bs n
let rec lemma_make_owns (h:vale_heap) (bs:Seq.seq buffer_info) (n:nat) : Lemma
(requires
n <= Seq.length bs /\
(forall (i:nat).{:pattern Seq.index bs i} i < Seq.length bs ==> buffer_readable h (Seq.index bs i).bi_buffer) /\
(forall (i1 i2:nat).{:pattern (Seq.index bs i1); (Seq.index bs i2)}
i1 < Seq.length bs /\ i2 < Seq.length bs ==> buffer_info_disjoint (Seq.index bs i1) (Seq.index bs i2))
)
(ensures (
let (m, s) = make_owns h bs n in
(forall (i:heaplet_id) (a:int).{:pattern Set.mem a (s i)}
(Set.mem a (s i) <==> Option.mapTot (fun n -> (Seq.index bs n).bi_heaplet) (m a) == Some i) /\
(Set.mem a (s i) ==> buffer_info_has_addr_opt (Option.mapTot (fun n -> Seq.index bs n) (m a)) a) /\
(Set.mem a (s i) ==> Set.mem a (Map.domain h.mh))
) /\
(forall (k:nat) (a:int).{:pattern Set.mem a (s (Seq.index bs k).bi_heaplet)}
k < n /\ buffer_info_has_addr (Seq.index bs k) a ==> Set.mem a (s (Seq.index bs k).bi_heaplet))
))
=
reveal_opaque (`%make_owns) make_owns;
if n = 0 then () else
let _ = make_owns h bs (n - 1) in
let (m, s) = make_owns h bs n in
lemma_make_owns h bs (n - 1);
let bi = Seq.index bs (n - 1) in
let b = bi.bi_buffer in
let hi = bi.bi_heaplet in
let addr = Vale.Interop.Heap_s.global_addrs_map b in
let len = DV.length (get_downview b.bsrc) in
let s_b = set_of_range addr len in
let lem1 (a:int) : Lemma
(requires Set.mem a s_b)
(ensures Set.mem a (Map.domain h.mh))
[SMTPat (Set.mem a (Map.domain h.mh))]
=
I.addrs_set_mem h.ih b a
in
let lem2 (i:heaplet_id) (a:int) : Lemma
(requires i =!= hi /\ Set.mem a (Set.intersect s_b (s i)))
(ensures False)
[SMTPat (Set.mem a (s i))]
=
reveal_opaque (`%addr_map_pred) addr_map_pred
in
()
#push-options "--initial_fuel 1 --max_fuel 1 --initial_ifuel 2 --max_ifuel 2"
let rec lemma_loc_mutable_buffers_rec (l:list buffer_info) (s:Seq.seq buffer_info) (n:nat) : Lemma
(requires
n + List.length l == Seq.length s /\
list_to_seq_post l s n
)
(ensures (
let modloc = loc_mutable_buffers l in
forall (i:nat).{:pattern Seq.index s i} n <= i /\ i < Seq.length s ==> (
let bi = Seq.index s i in
bi.bi_mutable == Mutable ==> loc_includes modloc (loc_buffer bi.bi_buffer))
))
(decreases l)
=
match l with
| [] -> ()
| h::t -> lemma_loc_mutable_buffers_rec t s (n + 1)
#pop-options
let lemma_loc_mutable_buffers (l:list buffer_info) : Lemma
(ensures (
let s = list_to_seq l in
forall (i:nat).{:pattern Seq.index s i} i < Seq.length s ==> (
let bi = Seq.index s i in
bi.bi_mutable == Mutable ==> loc_includes (loc_mutable_buffers l) (loc_buffer bi.bi_buffer))
))
=
lemma_list_to_seq l;
lemma_loc_mutable_buffers_rec l (list_to_seq l) 0
let create_heaplets buffers h1 =
let bs = list_to_seq buffers in
let modloc = loc_mutable_buffers buffers in
let layout1 = h1.vf_layout in
let layin1 = layout1.vl_inner in
let (hmap, hsets) = make_owns h1.vf_heap bs (Seq.length bs) in
let hmap a = Option.mapTot (fun n -> (Seq.index bs n).bi_heaplet) (hmap a) in
let l = {
vl_heaplets_initialized = true;
vl_heaplet_map = hmap;
vl_heaplet_sets = hsets;
vl_old_heap = h1.vf_heap;
vl_buffers = bs;
vl_mod_loc = modloc;
} in
let layout2 = {layout1 with vl_inner = l} in
let h2 = {
vf_layout = layout2;
vf_heap = h1.vf_heap;
vf_heaplets = h1.vf_heaplets;
} in
h2
let lemma_create_heaplets buffers h1 =
let bs = list_to_seq buffers in
let h2 = create_heaplets buffers h1 in
assert (h2.vf_layout.vl_inner.vl_buffers == bs); // REVIEW: why is this necessary, even with extra ifuel?
lemma_make_owns h1.vf_heap bs (Seq.length bs);
lemma_loc_mutable_buffers buffers;
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
()
let destroy_heaplets h1 =
h1
let lemma_destroy_heaplets h1 =
()
val heap_shift (m1 m2:S.machine_heap) (base:int) (n:nat) : Lemma
(requires (forall i. 0 <= i /\ i < n ==> m1.[base + i] == m2.[base + i]))
(ensures (forall i. {:pattern (m1.[i])} base <= i /\ i < base + n ==> m1.[i] == m2.[i]))
#push-options "--smtencoding.l_arith_repr boxwrap"
let heap_shift m1 m2 base n =
assert (forall i. base <= i /\ i < base + n ==>
m1.[base + (i - base)] == m2.[base + (i - base)])
#pop-options
val same_mem_eq_slices64 (b:buffer64{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:nat64)
(k:nat{k < buffer_length b})
(h1:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h1))})
(h2:vale_heap{h2 == buffer_write b i v h1})
(mem1:S.machine_heap{IB.correct_down_p (_ih h1) mem1 b})
(mem2:S.machine_heap{IB.correct_down_p (_ih h2) mem2 b}) : Lemma
(requires (Seq.index (buffer_as_seq h1 b) k == Seq.index (buffer_as_seq h2 b) k))
(ensures (
k * 8 + 8 <= DV.length (get_downview b.bsrc) /\
Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h1)) (get_downview b.bsrc)) (k * 8) (k * 8 + 8) ==
Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h2)) (get_downview b.bsrc)) (k * 8) (k * 8 + 8)))
let same_mem_eq_slices64 b i v k h1 h2 mem1 mem2 =
let t = TUInt64 in
let db = get_downview b.bsrc in
let ub = UV.mk_buffer db (uint_view t) in
UV.as_seq_sel (IB.hs_of_mem (_ih h1)) ub k;
UV.as_seq_sel (IB.hs_of_mem (_ih h2)) ub k;
UV.put_sel (IB.hs_of_mem (_ih h1)) ub k;
UV.put_sel (IB.hs_of_mem (_ih h2)) ub k;
UV.length_eq ub
let length_up64 (b:buffer64) (h:vale_heap) (k:nat{k < buffer_length b}) (i:nat{i < 8}) : Lemma
(scale8 k + i <= DV.length (get_downview b.bsrc)) =
let vb = UV.mk_buffer (get_downview b.bsrc) uint64_view in
UV.length_eq vb
val same_mem_get_heap_val64 (b:buffer64{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:nat64)
(k:nat{k < buffer_length b})
(h1:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h1))})
(h2:vale_heap{h2 == buffer_write b i v h1})
(mem1:S.machine_heap{IB.correct_down_p (_ih h1) mem1 b})
(mem2:S.machine_heap{IB.correct_down_p (_ih h2) mem2 b}) : Lemma
(requires (Seq.index (buffer_as_seq h1 b) k == Seq.index (buffer_as_seq h2 b) k))
(ensures (let ptr = buffer_addr b h1 + scale8 k in
forall (x:int).{:pattern (mem1.[x])} ptr <= x /\ x < ptr + 8 ==> mem1.[x] == mem2.[x]))
let same_mem_get_heap_val64 b j v k h1 h2 mem1 mem2 =
let ptr = buffer_addr b h1 + scale8 k in
let addr = buffer_addr b h1 in
let aux (x:int{ptr <= x /\ x < ptr + 8}) : Lemma (mem1.[x] == mem2.[x]) =
let i = x - ptr in
let db = get_downview b.bsrc in
let ub = UV.mk_buffer db uint64_view in
UV.as_seq_sel (IB.hs_of_mem (_ih h1)) ub k;
UV.as_seq_sel (IB.hs_of_mem (_ih h2)) ub k;
same_mem_eq_slices64 b j v k h1 h2 mem1 mem2;
let s1 = (Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h1)) db) (k * 8) (k * 8 + 8)) in
let s2 = (Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h2)) db) (k * 8) (k * 8 + 8)) in
assert (Seq.index s1 i == Seq.index (DV.as_seq (IB.hs_of_mem (_ih h1)) db) (k * 8 + i));
length_up64 b h1 k i;
assert (mem1.[addr+(scale8 k + i)] == UInt8.v (Seq.index (DV.as_seq (IB.hs_of_mem (_ih h1)) db) (k * 8 + i)));
assert (Seq.index s2 i == Seq.index (DV.as_seq (IB.hs_of_mem (_ih h2)) db) (k * 8 + i));
length_up64 b h2 k i;
assert (mem2.[addr+(scale8 k + i)] == UInt8.v (Seq.index (DV.as_seq (IB.hs_of_mem (_ih h2)) db) (k * 8 + i)))
in
Classical.forall_intro aux;
assert (forall i. addr + (scale8 k + i) == ptr + i)
let rec written_buffer_down64_aux1
(b:buffer64{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:nat64)
(h:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h))})
(base:nat{base == buffer_addr b h})
(k:nat) (h1:vale_heap{h1 == buffer_write b i v h})
(mem1:S.machine_heap{IB.correct_down (_ih h) mem1})
(mem2:S.machine_heap{IB.correct_down (_ih h1) mem2 /\
(forall j.{:pattern (mem1.[j]) \/ (mem2.[j])}
base <= j /\ j < base + k * 8 ==>
mem1.[j] == mem2.[j])})
: Lemma
(ensures (forall j. {:pattern (mem1.[j]) \/ (mem1.[j])}
j >= base /\ j < base + scale8 i ==>
mem1.[j] == mem2.[j]))
(decreases %[i-k]) =
if k >= i then ()
else begin
let ptr = base + scale8 k in
same_mem_get_heap_val64 b i v k h h1 mem1 mem2;
heap_shift mem1 mem2 ptr 8;
written_buffer_down64_aux1 b i v h base (k+1) h1 mem1 mem2
end
let rec written_buffer_down64_aux2
(b:buffer64{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:nat64)
(h:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h))})
(base:nat{base == buffer_addr b h})
(n:nat{n == buffer_length b})
(k:nat{k > i}) (h1:vale_heap{h1 == buffer_write b i v h})
(mem1:S.machine_heap{IB.correct_down (_ih h) mem1})
(mem2:S.machine_heap{IB.correct_down (_ih h1) mem2 /\
(forall j. {:pattern (mem1.[j]) \/ (mem2.[j])}
base + scale8 (i+1) <= j /\ j < base + k * 8 ==>
mem1.[j] == mem2.[j])})
: Lemma
(ensures (forall j. {:pattern (mem1.[j]) \/ (mem2.[j])}
j >= base + scale8 (i+1) /\ j < base + scale8 n ==>
mem1.[j] == mem2.[j]))
(decreases %[n-k]) =
if k >= n then ()
else begin
let ptr = base + scale8 k in
same_mem_get_heap_val64 b i v k h h1 mem1 mem2;
heap_shift mem1 mem2 ptr 8;
written_buffer_down64_aux2 b i v h base n (k+1) h1 mem1 mem2
end
let written_buffer_down64 (b:buffer64{buffer_writeable b}) (i:nat{i < buffer_length b}) (v:nat64) (h:vale_heap)
: Lemma
(requires List.memP b (IB.ptrs_of_mem (_ih h)))
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
let n = buffer_length b in
forall j. {:pattern (mem1.[j]) \/ (mem2.[j])}
(base <= j /\ j < base + scale8 i) \/
(base + scale8 (i+1) <= j /\ j < base + scale8 n) ==>
mem1.[j] == mem2.[j]))
= let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
let n = buffer_length b in
written_buffer_down64_aux1 b i v h base 0 h1 mem1 mem2;
written_buffer_down64_aux2 b i v h base n (i+1) h1 mem1 mem2
let unwritten_buffer_down (t:base_typ) (b:buffer t{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:base_typ_as_vale_type t)
(h:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h))})
: Lemma
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
forall (a:b8{List.memP a (IB.ptrs_of_mem (_ih h)) /\ a =!= b}) j. {:pattern mem1.[j]; List.memP a (IB.ptrs_of_mem (_ih h)) \/ mem2.[j]; List.memP a (IB.ptrs_of_mem (_ih h))}
let base = (IB.addrs_of_mem (_ih h)) a in
j >= base /\ j < base + DV.length (get_downview a.bsrc) ==> mem1.[j] == mem2.[j]))
= let aux (a:b8{a =!= b /\ List.memP a (IB.ptrs_of_mem (_ih h))})
: Lemma
(ensures (
let base = (IB.addrs_of_mem (_ih h)) a in
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
forall j.
j >= base /\ j < base + DV.length (get_downview a.bsrc) ==>
mem1.[j] == mem2.[j]))
= let db = get_downview a.bsrc in
if DV.length db = 0 then ()
else
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = (IB.addrs_of_mem (_ih h)) a in
let s0 = DV.as_seq (IB.hs_of_mem (_ih h)) db in
let s1 = DV.as_seq (IB.hs_of_mem (_ih h1)) db in
opaque_assert (`%IB.list_disjoint_or_eq) IB.list_disjoint_or_eq IB.list_disjoint_or_eq_def (MB.disjoint a.bsrc b.bsrc);
lemma_dv_equal (IB.down_view a.src) a.bsrc (IB.hs_of_mem (_ih h)) (IB.hs_of_mem (_ih h1));
assert (Seq.equal s0 s1);
assert (forall (j:int).{:pattern (mem1.[j])}
base <= j /\ j < base + Seq.length s0 ==> v_to_typ TUInt8 (Seq.index s0 (j - base)) == mem1.[j]);
heap_shift mem1 mem2 base (DV.length db)
in
Classical.forall_intro aux
let store_buffer_down64_mem
(b:buffer64{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:nat64)
(h:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h))})
: Lemma
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
forall (j:int). {:pattern mem1.[j] \/ mem2.[j]}
j < base + scale8 i \/ j >= base + scale8 (i+1) ==>
mem1.[j] == mem2.[j]))
= let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
let n = buffer_length b in
let aux (j:int)
: Lemma
(j < base + scale8 i \/ j >= base + scale8 (i+1) ==>
mem1.[j] == mem2.[j])
=
I.addrs_set_lemma_all ();
if j >= base && j < base + DV.length (get_downview b.bsrc) then begin
written_buffer_down64 b i v h;
length_t_eq (TUInt64) b
end
else if not (I.valid_addr (_ih h) j)
then I.same_unspecified_down (IB.hs_of_mem (_ih h)) (IB.hs_of_mem (_ih h1)) (IB.ptrs_of_mem (_ih h))
else unwritten_buffer_down TUInt64 b i v h
in
Classical.forall_intro aux
let store_buffer_aux_down64_mem (ptr:int) (v:nat64) (h:vale_heap{writeable_mem64 ptr h})
: Lemma
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = store_mem (TUInt64) ptr v h in
let mem2 = I.down_mem (_ih h1) in
forall j. {:pattern mem1.[j] \/ mem2.[j]}
j < ptr \/ j >= ptr + 8 ==>
mem1.[j] == mem2.[j]))
= let t = TUInt64 in
let h1 = store_mem t ptr v h in
let b = Some?.v (find_writeable_buffer t ptr h) in
length_t_eq t b;
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
store_buffer_write t ptr v h;
assert (buffer_addr b h + scale8 i == ptr);
assert (buffer_addr b h + scale8 (i+1) == ptr + 8);
store_buffer_down64_mem b i v h
let store_buffer_aux_down64_mem2 (ptr:int) (v:nat64) (h:vale_heap{writeable_mem64 ptr h})
: Lemma
(ensures (
let h1 = store_mem (TUInt64) ptr v h in
let mem2 = I.down_mem (_ih h1) in
S.get_heap_val64 ptr mem2 == v))
= let t = TUInt64 in
let b = Some?.v (find_writeable_buffer t ptr h) in
length_t_eq t b;
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
let h1 = store_mem t ptr v h in
let mem2 = I.down_mem (_ih h1) in
store_buffer_write t ptr v h;
assert (Seq.index (buffer_as_seq h1 b) i == v);
index64_get_heap_val64 h1 b mem2 i
let in_bounds64 (h:vale_heap) (b:buffer64) (i:nat{i < buffer_length b})
: Lemma (scale8 i + 8 <= DV.length (get_downview b.bsrc))
=
length_t_eq TUInt64 b
let bytes_valid64 ptr h =
reveal_opaque (`%S.valid_addr64) S.valid_addr64;
let t = TUInt64 in
let b = get_addr_ptr t ptr h in
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
in_bounds64 h b i;
I.addrs_set_mem (_ih h) b ptr;
I.addrs_set_mem (_ih h) b (ptr+1);
I.addrs_set_mem (_ih h) b (ptr+2);
I.addrs_set_mem (_ih h) b (ptr+3);
I.addrs_set_mem (_ih h) b (ptr+4);
I.addrs_set_mem (_ih h) b (ptr+5);
I.addrs_set_mem (_ih h) b (ptr+6);
I.addrs_set_mem (_ih h) b (ptr+7)
val same_mem_get_heap_val128 (b:buffer128)
(i:nat{i < buffer_length b})
(v:quad32)
(k:nat{k < buffer_length b})
(h1:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h1)) /\ buffer_writeable b})
(h2:vale_heap{h2 == buffer_write b i v h1})
(mem1:S.machine_heap{IB.correct_down_p (_ih h1) mem1 b})
(mem2:S.machine_heap{IB.correct_down_p (_ih h2) mem2 b}) : Lemma
(requires (Seq.index (buffer_as_seq h1 b) k == Seq.index (buffer_as_seq h2 b) k))
(ensures (let ptr = buffer_addr b h1 + scale16 k in
forall i.{:pattern mem1.[i]} i >= ptr /\ i < ptr+16 ==> mem1.[i] == mem2.[i]))
val same_mem_eq_slices128 (b:buffer128)
(i:nat{i < buffer_length b})
(v:quad32)
(k:nat{k < buffer_length b})
(h1:vale_heap{List.memP b (IB.ptrs_of_mem (_ih h1)) /\ buffer_writeable b})
(h2:vale_heap{h2 == buffer_write b i v h1})
(mem1:S.machine_heap{IB.correct_down_p (_ih h1) mem1 b})
(mem2:S.machine_heap{IB.correct_down_p (_ih h2) mem2 b}) : Lemma
(requires (Seq.index (buffer_as_seq h1 b) k == Seq.index (buffer_as_seq h2 b) k))
(ensures (
k * 16 + 16 <= DV.length (get_downview b.bsrc) /\
Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h1)) (get_downview b.bsrc)) (k * 16) (k * 16 + 16) ==
Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h2)) (get_downview b.bsrc)) (k * 16) (k * 16 + 16)))
let same_mem_eq_slices128 b i v k h1 h2 mem1 mem2 =
let t = TUInt128 in
let db = get_downview b.bsrc in
let ub = UV.mk_buffer db (uint_view t) in
UV.as_seq_sel (IB.hs_of_mem (_ih h1)) ub k;
UV.as_seq_sel (IB.hs_of_mem (_ih h2)) ub k;
UV.put_sel (IB.hs_of_mem (_ih h1)) ub k;
UV.put_sel (IB.hs_of_mem (_ih h2)) ub k;
UV.length_eq ub
let length_up128 (b:buffer128) (h:vale_heap) (k:nat{k < buffer_length b}) (i:nat{i < 16}) : Lemma
(scale16 k + i <= DV.length (get_downview b.bsrc)) =
let vb = UV.mk_buffer (get_downview b.bsrc) uint128_view in
UV.length_eq vb
let same_mem_get_heap_val128 b j v k h1 h2 mem1 mem2 =
let ptr = buffer_addr b h1 + scale16 k in
let addr = buffer_addr b h1 in
let aux (i:nat{ptr <= i /\ i < ptr+16}) : Lemma (mem1.[i] == mem2.[i]) =
let db = get_downview b.bsrc in
let ub = UV.mk_buffer db uint128_view in
UV.as_seq_sel (IB.hs_of_mem (_ih h1)) ub k;
UV.as_seq_sel (IB.hs_of_mem (_ih h2)) ub k;
same_mem_eq_slices128 b j v k h1 h2 mem1 mem2;
let s1 = (Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h1)) db) (k * 16) (k * 16 + 16)) in
let s2 = (Seq.slice (DV.as_seq (IB.hs_of_mem (_ih h2)) db) (k * 16) (k * 16 + 16)) in
assert (Seq.index s1 (i - ptr) == Seq.index (DV.as_seq (IB.hs_of_mem (_ih h1)) db) (k * 16 + (i-ptr)));
length_up128 b h1 k (i-ptr);
assert (mem1.[i] == UInt8.v (Seq.index (DV.as_seq (IB.hs_of_mem (_ih h1)) db) (k * 16 + (i-ptr))));
assert (Seq.index s2 (i-ptr) == Seq.index (DV.as_seq (IB.hs_of_mem (_ih h2)) db) (k * 16 + (i-ptr)));
length_up128 b h2 k (i-ptr);
assert (mem2.[addr+(scale16 k + (i-ptr))] == UInt8.v (Seq.index (DV.as_seq (IB.hs_of_mem (_ih h2)) db) (k * 16 + (i-ptr))));
assert (forall i. addr + (scale16 k + (i-ptr)) == i)
in
Classical.forall_intro aux
let in_bounds128 (h:vale_heap) (b:buffer128) (i:nat{i < buffer_length b}) : Lemma
(scale16 i + 16 <= DV.length (get_downview b.bsrc))
=
length_t_eq TUInt128 b
#push-options "--z3rlimit 20"
#restart-solver
let bytes_valid128 ptr h =
reveal_opaque (`%S.valid_addr128) S.valid_addr128;
IB.list_disjoint_or_eq_reveal ();
let t = TUInt128 in
let b = get_addr_ptr t ptr h in
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
in_bounds128 h b i;
I.addrs_set_mem (_ih h) b ptr;
I.addrs_set_mem (_ih h) b (ptr+1);
I.addrs_set_mem (_ih h) b (ptr+2);
I.addrs_set_mem (_ih h) b (ptr+3);
I.addrs_set_mem (_ih h) b (ptr+4);
I.addrs_set_mem (_ih h) b (ptr+5);
I.addrs_set_mem (_ih h) b (ptr+6);
I.addrs_set_mem (_ih h) b (ptr+7);
I.addrs_set_mem (_ih h) b (ptr+8);
I.addrs_set_mem (_ih h) b (ptr+9);
I.addrs_set_mem (_ih h) b (ptr+10);
I.addrs_set_mem (_ih h) b (ptr+11);
I.addrs_set_mem (_ih h) b (ptr+12);
I.addrs_set_mem (_ih h) b (ptr+13);
I.addrs_set_mem (_ih h) b (ptr+14);
I.addrs_set_mem (_ih h) b (ptr+15)
#pop-options
let equiv_load_mem64 ptr h =
let t = TUInt64 in
let b = get_addr_ptr t ptr h in
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
let addr = buffer_addr b h in
let contents = DV.as_seq (_ih h).IB.hs (get_downview b.bsrc) in
let heap = get_heap h in
index64_get_heap_val64 h b heap i;
lemma_load_mem64 b i h
//let low_lemma_valid_mem64 b i h =
// lemma_valid_mem64 b i h;
// bytes_valid64 (buffer_addr b h + scale8 i) h
//let low_lemma_load_mem64 b i h =
// lemma_valid_mem64 b i h;
// lemma_load_mem64 b i h;
// equiv_load_mem64 (buffer_addr b h + scale8 i) h
//let same_domain_update64 b i v h =
// low_lemma_valid_mem64 b i h;
// Vale.Arch.MachineHeap.same_domain_update64 (buffer_addr b h + scale8 i) v (get_heap h)
open Vale.X64.BufferViewStore
let low_lemma_store_mem64_aux
(b:buffer64)
(heap:S.machine_heap)
(i:nat{i < buffer_length b})
(v:nat64)
(h:vale_heap{buffer_readable h b /\ buffer_writeable b})
: Lemma
(requires IB.correct_down_p (_ih h) heap b)
(ensures (let heap' = S.update_heap64 (buffer_addr b h + scale8 i) v heap in
let h' = store_mem64 (buffer_addr b h + scale8 i) v h in
(_ih h').IB.hs == DV.upd_seq (_ih h).IB.hs (get_downview b.bsrc) (I.get_seq_heap heap' (_ih h).IB.addrs b))) =
let ptr = buffer_addr b h + scale8 i in
let heap' = S.update_heap64 ptr v heap in
let h' = store_mem64 ptr v h in
lemma_store_mem64 b i v h;
length_t_eq TUInt64 b;
bv_upd_update_heap64 b heap i v (_ih h);
let db = get_downview b.bsrc in
let bv = UV.mk_buffer db Vale.Interop.Views.up_view64 in
assert (UV.upd (_ih h).IB.hs bv i (UInt64.uint_to_t v) == (_ih h').IB.hs)
val valid_state_store_mem64_aux: (i:nat) -> (v:nat64) -> (h:vale_heap) -> Lemma
(requires writeable_mem64 i h)
(ensures (
let heap = get_heap h in
let heap' = S.update_heap64 i v heap in
let h' = store_mem64 i v h in
heap' == I.down_mem (_ih h')
))
let valid_state_store_mem64_aux i v h =
let heap = get_heap h in
let heap' = S.update_heap64 i v heap in
let h1 = store_mem TUInt64 i v h in
store_buffer_aux_down64_mem i v h;
store_buffer_aux_down64_mem2 i v h;
let mem1 = heap' in
let mem2 = I.down_mem (_ih h1) in
let aux () : Lemma (forall j. mem1.[j] == mem2.[j]) =
Vale.Arch.MachineHeap.same_mem_get_heap_val64 i mem1 mem2;
Vale.Arch.MachineHeap.correct_update_get64 i v heap;
Vale.Arch.MachineHeap.frame_update_heap64 i v heap
in let aux2 () : Lemma (Set.equal (Map.domain mem1) (Map.domain mem2)) =
bytes_valid64 i h;
Vale.Arch.MachineHeap.same_domain_update64 i v heap
in aux(); aux2();
Map.lemma_equal_intro mem1 mem2
let low_lemma_load_mem64_full b i vfh t hid =
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
()
#push-options "--z3rlimit 20"
#restart-solver
let low_lemma_store_mem64 b i v h =
lemma_writeable_mem64 b i h;
lemma_store_mem64 b i v h;
valid_state_store_mem64_aux (buffer_addr b h + scale8 i) v h;
let heap = get_heap h in
let heap' = S.update_heap64 (buffer_addr b h + scale8 i) v heap in
low_lemma_store_mem64_aux b heap i v h;
Vale.Arch.MachineHeap.frame_update_heap64 (buffer_addr b h + scale8 i) v heap;
in_bounds64 h b i;
I.addrs_set_lemma_all ();
I.update_buffer_up_mem (_ih h) b heap heap'
#pop-options
#set-options "--z3rlimit 100"
#restart-solver
let lemma_is_full_update
(vfh:vale_full_heap) (h hk hk':vale_heap) (k:heaplet_id) (mh mh' mhk mhk':machine_heap) (mt mt':memtaint)
(t:base_typ) (b:buffer t) (ptr:int) (v_size:nat)
(index:nat) (v:base_typ_as_vale_type t) (tn:taint)
: Lemma
(requires
vfh.vf_layout.vl_inner.vl_heaplets_initialized /\
mem_inv vfh /\
buffer_readable hk b /\
buffer_writeable b /\
index < Seq.length (buffer_as_seq hk b) /\
mt == vfh.vf_layout.vl_taint /\
h == vfh.vf_heap /\
hk == Map16.sel vfh.vf_heaplets k /\
mh == h.mh /\
mhk == hk.mh /\
ptr == buffer_addr b hk + scale_by v_size index /\
mt' == S.update_n ptr v_size (heap_taint (coerce vfh)) tn /\
hk' == buffer_write b index v hk /\
valid_layout_buffer b vfh.vf_layout hk true /\
valid_taint_buf b hk mt tn /\
is_machine_heap_update mh mh' /\ upd_heap h mh' == buffer_write b index v h /\
is_machine_heap_update mhk mhk' /\ upd_heap hk mhk' == buffer_write b index v hk /\
(forall j.{:pattern mh.[j] \/ mh'.[j]} j < ptr \/ j >= ptr + v_size ==> mh.[j] == mh'.[j]) /\
(forall j.{:pattern mhk.[j] \/ mhk'.[j]} j < ptr \/ j >= ptr + v_size ==> mhk.[j] == mhk'.[j]) /\
0 <= scale_by v_size index /\ scale_by v_size index + v_size <= DV.length (get_downview b.bsrc) /\
(forall i.{:pattern mh'.[i] \/ mhk'.[i]} i >= ptr /\ i < ptr + v_size ==> mh'.[i] == mhk'.[i]) /\
True
)
(ensures is_full_update vfh hk' k mh' mt')
=
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
let vfh' = coerce (heap_upd (coerce vfh) mh' mt') in
let dom_upd = Set.intersect (vfh.vf_layout.vl_inner.vl_heaplet_sets k) (Map.domain mhk) in
let mhk'' = Map.concat mhk (Map.restrict dom_upd mh') in
assert (Map.equal mhk'' mhk');
let unchanged (j:heaplet_id) : Lemma
(requires j =!= k)
(ensures Map16.sel vfh'.vf_heaplets j == Map16.sel vfh.vf_heaplets j)
[SMTPat (Map16.sel vfh'.vf_heaplets j)]
=
assert (Map.equal (Map16.sel vfh'.vf_heaplets j).mh (Map16.sel vfh.vf_heaplets j).mh);
I.down_up_identity (Map16.sel vfh.vf_heaplets j).ih;
()
in
assert (Map16.equal vfh'.vf_heaplets (Map16.upd vfh.vf_heaplets k hk'));
assert (Map.equal mt' mt);
Vale.Interop.Heap_s.list_disjoint_or_eq_reveal ();
()
let low_lemma_store_mem64_full b i v vfh t hid =
let (h, mt, hk) = (vfh.vf_heap, vfh.vf_layout.vl_taint, Map16.get vfh.vf_heaplets hid) in
let ptr = buffer_addr b hk + scale8 i in
let mh' = S.update_heap64 ptr v (heap_get (coerce vfh)) in
let mt' = S.update_n ptr 8 (heap_taint (coerce vfh)) t in
let hk' = buffer_write b i v hk in
let mhk' = S.update_heap64 ptr v (get_heap hk) in
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
low_lemma_store_mem64 b i v h;
low_lemma_store_mem64 b i v (Map16.get vfh.vf_heaplets hid);
Vale.Arch.MachineHeap.frame_update_heap64 ptr v h.mh;
Vale.Arch.MachineHeap.frame_update_heap64 ptr v hk.mh;
in_bounds64 hk b i;
Vale.Arch.MachineHeap.same_mem_get_heap_val64 ptr mh' mhk';
lemma_is_full_update vfh h hk hk' hid h.mh mh' hk.mh mhk' mt mt' TUInt64 b ptr 8 i v t;
()
val low_lemma_valid_mem128 (b:buffer128) (i:nat) (h:vale_heap) : Lemma
(requires
i < Seq.length (buffer_as_seq h b) /\
buffer_readable h b
)
(ensures
S.valid_addr128 (buffer_addr b h + scale16 i) (get_heap h)
)
let low_lemma_valid_mem128 b i h =
lemma_valid_mem128 b i h;
bytes_valid128 (buffer_addr b h + scale16 i) h
val equiv_load_mem128_aux: (ptr:int) -> (h:vale_heap) -> Lemma
(requires valid_mem128 ptr h)
(ensures load_mem128 ptr h == S.get_heap_val128 ptr (get_heap h))
let equiv_load_mem128_aux ptr h =
let t = TUInt128 in
let b = get_addr_ptr t ptr h in
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
let addr = buffer_addr b h in
let contents = DV.as_seq (_ih h).IB.hs (get_downview b.bsrc) in
let heap = get_heap h in
S.get_heap_val128_reveal ();
index128_get_heap_val128 h b heap i;
lemma_load_mem128 b i h
let equiv_load_mem128 ptr h =
equiv_load_mem128_aux ptr h
val low_lemma_load_mem128 (b:buffer128) (i:nat) (h:vale_heap) : Lemma
(requires
i < Seq.length (buffer_as_seq h b) /\
buffer_readable h b
)
(ensures
S.get_heap_val128 (buffer_addr b h + scale16 i) (get_heap h) == buffer_read b i h
)
let low_lemma_load_mem128 b i h =
lemma_valid_mem128 b i h;
lemma_load_mem128 b i h;
equiv_load_mem128_aux (buffer_addr b h + scale16 i) h
//let same_domain_update128 b i v h =
// low_lemma_valid_mem128 b i h;
// Vale.Arch.MachineHeap.same_domain_update128 (buffer_addr b h + scale16 i) v (get_heap h)
let low_lemma_store_mem128_aux
(b:buffer128)
(heap:S.machine_heap)
(i:nat{i < buffer_length b})
(v:quad32)
(h:vale_heap{buffer_readable h b /\ buffer_writeable b})
: Lemma
(requires IB.correct_down_p (_ih h) heap b)
(ensures (let heap' = S.update_heap128 (buffer_addr b h + scale16 i) v heap in
let h' = store_mem128 (buffer_addr b h + scale16 i) v h in
(_ih h').IB.hs == DV.upd_seq (_ih h).IB.hs (get_downview b.bsrc) (I.get_seq_heap heap' (_ih h).IB.addrs b))) =
let ptr = buffer_addr b h + scale16 i in
let heap' = S.update_heap128 ptr v heap in
let h' = store_mem128 ptr v h in
lemma_store_mem128 b i v h;
length_t_eq TUInt128 b;
bv_upd_update_heap128 b heap i v (_ih h);
let db = get_downview b.bsrc in
let bv = UV.mk_buffer db Vale.Interop.Views.up_view128 in
assert (UV.upd (_ih h).IB.hs bv i v == (_ih h').IB.hs)
val valid_state_store_mem128_aux (i:int) (v:quad32) (h:vale_heap) : Lemma
(requires writeable_mem128 i h)
(ensures (
let heap = get_heap h in
let heap' = S.update_heap128 i v heap in
let h' = store_mem128 i v h in
heap' == I.down_mem (_ih h')
))
#restart-solver
let rec written_buffer_down128_aux1
(b:buffer128{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:quad32)
(h:vale_heap{List.memP b (_ih h).IB.ptrs})
(base:nat{base == buffer_addr b h})
(k:nat) (h1:vale_heap{h1 == buffer_write b i v h})
(mem1:S.machine_heap{IB.correct_down (_ih h) mem1})
(mem2:S.machine_heap{IB.correct_down (_ih h1) mem2 /\
(forall j.{:pattern (mem1.[j]) \/ (mem2.[j])}
base <= j /\ j < base + k * 16 ==>
mem1.[j] == mem2.[j])})
: Lemma
(ensures (forall j. {:pattern (mem1.[j]) \/ (mem1.[j])}
j >= base /\ j < base + scale16 i ==>
mem1.[j] == mem2.[j]))
(decreases %[i-k]) =
if k >= i then ()
else begin
let ptr = base + scale16 k in
same_mem_get_heap_val128 b i v k h h1 mem1 mem2;
heap_shift mem1 mem2 ptr 16;
written_buffer_down128_aux1 b i v h base (k+1) h1 mem1 mem2
end
#restart-solver
let rec written_buffer_down128_aux2
(b:buffer128{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:quad32)
(h:vale_heap{List.memP b (_ih h).IB.ptrs})
(base:nat{base == buffer_addr b h})
(n:nat{n == buffer_length b})
(k:nat{k > i}) (h1:vale_heap{h1 == buffer_write b i v h})
(mem1:S.machine_heap{IB.correct_down (_ih h) mem1})
(mem2:S.machine_heap{IB.correct_down (_ih h1) mem2 /\
(forall j. {:pattern (mem1.[j]) \/ (mem2.[j])}
base + scale16 (i+1) <= j /\ j < base + k * 16 ==>
mem1.[j] == mem2.[j])})
: Lemma
(ensures (forall j. {:pattern (mem1.[j]) \/ (mem2.[j])}
j >= base + scale16 (i+1) /\ j < base + scale16 n ==>
mem1.[j] == mem2.[j]))
(decreases %[n-k]) =
if k >= n then ()
else begin
let ptr = base + scale16 k in
same_mem_get_heap_val128 b i v k h h1 mem1 mem2;
heap_shift mem1 mem2 ptr 16;
written_buffer_down128_aux2 b i v h base n (k+1) h1 mem1 mem2
end
let written_buffer_down128 (b:buffer128) (i:nat{i < buffer_length b}) (v:quad32) (h:vale_heap)
: Lemma
(requires List.memP b (_ih h).IB.ptrs /\ buffer_writeable b)
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
let n = buffer_length b in
forall j. {:pattern (mem1.[j]) \/ (mem2.[j])}
(base <= j /\ j < base + scale16 i) \/
(base + scale16 (i+1) <= j /\ j < base + scale16 n) ==>
mem1.[j] == mem2.[j]))
= let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
let n = buffer_length b in
written_buffer_down128_aux1 b i v h base 0 h1 mem1 mem2;
written_buffer_down128_aux2 b i v h base n (i+1) h1 mem1 mem2
let store_buffer_down128_mem
(b:buffer128{buffer_writeable b})
(i:nat{i < buffer_length b})
(v:quad32)
(h:vale_heap{List.memP b (_ih h).IB.ptrs})
: Lemma
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
forall (j:int). {:pattern mem1.[j] \/ mem2.[j]}
j < base + scale16 i \/ j >= base + scale16 (i+1) ==>
mem1.[j] == mem2.[j]))
= let mem1 = I.down_mem (_ih h) in
let h1 = buffer_write b i v h in
let mem2 = I.down_mem (_ih h1) in
let base = buffer_addr b h in
let n = buffer_length b in
let aux (j:int)
: Lemma
(j < base + scale16 i \/ j >= base + scale16 (i+1) ==>
mem1.[j] == mem2.[j])
=
I.addrs_set_lemma_all ();
if j >= base && j < base + DV.length (get_downview b.bsrc) then begin
written_buffer_down128 b i v h;
length_t_eq TUInt128 b
end
else if not (I.valid_addr (_ih h) j)
then I.same_unspecified_down (_ih h).IB.hs (_ih h1).IB.hs (_ih h).IB.ptrs
else unwritten_buffer_down TUInt128 b i v h
in
Classical.forall_intro aux
let store_buffer_aux_down128_mem (ptr:int) (v:quad32) (h:vale_heap{writeable_mem128 ptr h})
: Lemma
(ensures (
let mem1 = I.down_mem (_ih h) in
let h1 = store_mem TUInt128 ptr v h in
let mem2 = I.down_mem (_ih h1) in
forall j. {:pattern mem1.[j] \/ mem2.[j]}
j < ptr \/ j >= ptr + 16 ==>
mem1.[j] == mem2.[j]))
= let t = TUInt128 in
let h1 = store_mem t ptr v h in
let b = Some?.v (find_writeable_buffer t ptr h) in
length_t_eq t b;
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
store_buffer_write t ptr v h;
assert (buffer_addr b h + scale16 i == ptr);
assert (buffer_addr b h + scale16 (i+1) == ptr + 16);
store_buffer_down128_mem b i v h
let store_buffer_aux_down128_mem2 (ptr:int) (v:quad32) (h:vale_heap{writeable_mem128 ptr h})
: Lemma
(ensures (
let h1 = store_mem TUInt128 ptr v h in
let mem2 = I.down_mem (_ih h1) in
Mkfour
(S.get_heap_val32 ptr mem2)
(S.get_heap_val32 (ptr+4) mem2)
(S.get_heap_val32 (ptr+8) mem2)
(S.get_heap_val32 (ptr+12) mem2)
== v)) =
let t = TUInt128 in
let b = Some?.v (find_writeable_buffer t ptr h) in
length_t_eq t b;
let i = get_addr_in_ptr t (buffer_length b) (buffer_addr b h) ptr 0 in
let h1 = store_mem t ptr v h in
let mem2 = I.down_mem (_ih h1) in
store_buffer_write t ptr v h;
assert (Seq.index (buffer_as_seq h1 b) i == v);
index128_get_heap_val128 h1 b mem2 i
let valid_state_store_mem128_aux i v h =
let heap = get_heap h in
let heap' = S.update_heap128 i v heap in
let h1 = store_mem TUInt128 i v h in
store_buffer_aux_down128_mem i v h;
store_buffer_aux_down128_mem2 i v h;
let mem1 = heap' in
let mem2 = I.down_mem (_ih h1) in
let aux () : Lemma (forall j. mem1.[j] == mem2.[j]) =
Vale.Arch.MachineHeap.correct_update_get128 i v heap;
Vale.X64.Machine_Semantics_s.get_heap_val128_reveal ();
Vale.Arch.MachineHeap.same_mem_get_heap_val32 i mem1 mem2;
Vale.Arch.MachineHeap.same_mem_get_heap_val32 (i+4) mem1 mem2;
Vale.Arch.MachineHeap.same_mem_get_heap_val32 (i+8) mem1 mem2;
Vale.Arch.MachineHeap.same_mem_get_heap_val32 (i+12) mem1 mem2;
Vale.Arch.MachineHeap.frame_update_heap128 i v heap
in
let aux2 () : Lemma (Set.equal (Map.domain mem1) (Map.domain mem2)) =
bytes_valid128 i h;
Vale.Arch.MachineHeap.same_domain_update128 i v heap
in aux (); aux2 ();
Map.lemma_equal_intro mem1 mem2
let low_lemma_load_mem128_full b i vfh t hid =
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
()
let low_lemma_store_mem128 b i v h =
lemma_valid_mem128 b i h;
lemma_store_mem128 b i v h;
valid_state_store_mem128_aux (buffer_addr b h + scale16 i) v h;
let heap = get_heap h in
let heap' = S.update_heap128 (buffer_addr b h + scale16 i) v heap in
let h' = store_mem128 (buffer_addr b h + scale16 i) v h in
low_lemma_store_mem128_aux b heap i v h;
Vale.Arch.MachineHeap.frame_update_heap128 (buffer_addr b h + scale16 i) v heap;
in_bounds128 h b i;
I.addrs_set_lemma_all ();
I.update_buffer_up_mem (_ih h) b heap heap'
let low_lemma_store_mem128_full b i v vfh t hid =
let (h, mt, hk) = (vfh.vf_heap, vfh.vf_layout.vl_taint, Map16.get vfh.vf_heaplets hid) in
let ptr = buffer_addr b hk + scale16 i in
let mh' = S.update_heap128 ptr v (heap_get (coerce vfh)) in
let mt' = S.update_n ptr 16 (heap_taint (coerce vfh)) t in
let hk' = buffer_write b i v hk in
let mhk' = S.update_heap128 ptr v (get_heap hk) in
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
low_lemma_store_mem128 b i v h;
low_lemma_store_mem128 b i v (Map16.get vfh.vf_heaplets hid);
Vale.Arch.MachineHeap.frame_update_heap128 ptr v h.mh;
Vale.Arch.MachineHeap.frame_update_heap128 ptr v hk.mh;
in_bounds128 hk b i;
Vale.Arch.MachineHeap.same_mem_get_heap_val128 ptr mh' mhk';
lemma_is_full_update vfh h hk hk' hid h.mh mh' hk.mh mhk' mt mt' TUInt128 b ptr 16 i v t;
()
#push-options "--smtencoding.l_arith_repr boxwrap"
let low_lemma_valid_mem128_64 b i h =
reveal_opaque (`%S.valid_addr64) S.valid_addr64;
reveal_opaque (`%S.valid_addr128) S.valid_addr128;
low_lemma_valid_mem128 b i h;
let ptr = buffer_addr b h + scale16 i in
assert (buffer_addr b h + scale16 i + 8 = ptr + 8)
#pop-options
open Vale.Def.Words.Two_s
open Vale.Def.Words.Four_s
let low_lemma_load_mem128_lo64 b i h =
low_lemma_load_mem128 b i h;
lo64_reveal ();
S.get_heap_val128_reveal ();
S.get_heap_val64_reveal ();
S.get_heap_val32_reveal ()
let low_lemma_load_mem128_hi64 b i h =
low_lemma_load_mem128 b i h;
hi64_reveal ();
S.get_heap_val128_reveal ();
S.get_heap_val64_reveal ();
S.get_heap_val32_reveal ()
//let same_domain_update128_64 b i v h =
// low_lemma_valid_mem128_64 b i (_ih h);
// Vale.Arch.MachineHeap.same_domain_update64 (buffer_addr b h + scale16 i) v (get_heap h);
// Vale.Arch.MachineHeap.same_domain_update64 (buffer_addr b h + scale16 i + 8) v (get_heap h)
open Vale.Def.Types_s
let frame_get_heap32 (ptr:int) (mem1 mem2:S.machine_heap) : Lemma
(requires (forall i. i >= ptr /\ i < ptr + 4 ==> mem1.[i] == mem2.[i]))
(ensures S.get_heap_val32 ptr mem1 == S.get_heap_val32 ptr mem2) =
S.get_heap_val32_reveal ()
let update_heap128_lo (ptr:int) (v:quad32) (mem:S.machine_heap) : Lemma
(requires
S.valid_addr128 ptr mem /\
v.hi2 == S.get_heap_val32 (ptr+8) mem /\
v.hi3 == S.get_heap_val32 (ptr+12) mem
)
(ensures S.update_heap128 ptr v mem ==
S.update_heap32 (ptr+4) v.lo1 (S.update_heap32 ptr v.lo0 mem)) =
reveal_opaque (`%S.valid_addr128) S.valid_addr128;
S.update_heap128_reveal ();
let mem0 = S.update_heap32 ptr v.lo0 mem in
let mem1 = S.update_heap32 (ptr+4) v.lo1 mem0 in
Vale.Arch.MachineHeap.frame_update_heap32 ptr v.lo0 mem;
Vale.Arch.MachineHeap.frame_update_heap32 (ptr+4) v.lo1 mem0;
Vale.Arch.MachineHeap.same_domain_update32 ptr v.lo0 mem;
Vale.Arch.MachineHeap.same_domain_update32 (ptr+4) v.lo1 mem0;
frame_get_heap32 (ptr+8) mem mem1;
frame_get_heap32 (ptr+12) mem mem1;
Vale.Arch.MachineHeap.update_heap32_get_heap32 (ptr+8) mem1;
Vale.Arch.MachineHeap.update_heap32_get_heap32 (ptr+12) mem1
let low_lemma_load_mem128_lo_hi_full b i vfh t hid =
reveal_opaque (`%valid_layout_buffer_id) valid_layout_buffer_id;
low_lemma_valid_mem128_64 b i vfh.vf_heap;
() | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.BufferViewStore.fsti.checked",
"Vale.PPC64LE.Semantics_s.fst.checked",
"Vale.PPC64LE.Memory.fst.checked",
"Vale.PPC64LE.Memory.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.Lib.BufferViewHelpers.fst.checked",
"Vale.Interop.Views.fsti.checked",
"Vale.Interop.Heap_s.fst.checked",
"Vale.Interop.Base.fst.checked",
"Vale.Interop.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Two_s.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.MachineHeap.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.Arch.Heap.fsti.checked",
"prims.fst.checked",
"LowStar.Monotonic.Buffer.fsti.checked",
"LowStar.BufferView.Up.fsti.checked",
"LowStar.BufferView.Down.fsti.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt64.fsti.checked",
"FStar.Set.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Option.fst.checked",
"FStar.Mul.fst.checked",
"FStar.Map.fsti.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.PPC64LE.Memory_Sems.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Def.Words.Four_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words.Two_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.BufferViewStore",
"short_module": null
},
{
"abbrev": true,
"full_module": "Vale.Interop.Base",
"short_module": "IB"
},
{
"abbrev": false,
"full_module": "Vale.Lib.BufferViewHelpers",
"short_module": null
},
{
"abbrev": true,
"full_module": "LowStar.BufferView.Down",
"short_module": "DV"
},
{
"abbrev": true,
"full_module": "LowStar.BufferView.Up",
"short_module": "UV"
},
{
"abbrev": true,
"full_module": "LowStar.Monotonic.Buffer",
"short_module": "MB"
},
{
"abbrev": true,
"full_module": "Vale.Interop",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": true,
"full_module": "Vale.Lib.Map16",
"short_module": "Map16"
},
{
"abbrev": true,
"full_module": "Vale.PPC64LE.Semantics_s",
"short_module": "S"
},
{
"abbrev": false,
"full_module": "Vale.Lib.Seqs",
"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.Arch.MachineHeap_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Heap",
"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": "Vale.Def.Types_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.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.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": 100,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
b: Vale.PPC64LE.Memory.buffer128 ->
i: Prims.nat ->
v: Vale.Def.Types_s.nat64 ->
h: Vale.Arch.HeapImpl.vale_heap
-> FStar.Pervasives.Lemma
(requires
i < FStar.Seq.Base.length (Vale.PPC64LE.Memory.buffer_as_seq h b) /\
Vale.PPC64LE.Memory.buffer_readable h b /\ Vale.PPC64LE.Memory.buffer_writeable b)
(ensures
(let v' = Vale.Def.Types_s.insert_nat64 (Vale.PPC64LE.Memory.buffer_read b i h) v 0 in
let m =
Vale.Arch.MachineHeap_s.update_heap64 (Vale.PPC64LE.Memory.buffer_addr b h +
Vale.PPC64LE.Memory.scale16 i)
v
(Vale.PPC64LE.Memory_Sems.get_heap h)
in
Vale.Arch.MachineHeap_s.is_machine_heap_update (Vale.PPC64LE.Memory_Sems.get_heap h) m /\
Vale.PPC64LE.Memory_Sems.upd_heap h m == Vale.PPC64LE.Memory.buffer_write b i v' h)) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"Vale.PPC64LE.Memory.buffer128",
"Prims.nat",
"Vale.Def.Types_s.nat64",
"Vale.Arch.HeapImpl.vale_heap",
"Vale.Def.Types_s.insert_nat64_reveal",
"Prims.unit",
"Vale.Arch.MachineHeap_s.update_heap32_reveal",
"Vale.Arch.MachineHeap_s.update_heap64_reveal",
"Vale.PPC64LE.Memory_Sems.update_heap128_lo",
"Vale.PPC64LE.Memory_Sems.get_heap",
"Vale.Arch.MachineHeap_s.get_heap_val128_reveal",
"Vale.PPC64LE.Memory_Sems.low_lemma_store_mem128",
"Vale.PPC64LE.Memory_Sems.low_lemma_load_mem128",
"Vale.Def.Types_s.quad32",
"Vale.Def.Types_s.insert_nat64",
"Vale.PPC64LE.Memory.base_typ_as_vale_type",
"Vale.Arch.HeapTypes_s.TUInt128",
"Vale.PPC64LE.Memory.buffer_read",
"Vale.PPC64LE.Memory.vuint128",
"Prims.int",
"Prims.op_Addition",
"Vale.PPC64LE.Memory.buffer_addr",
"Vale.PPC64LE.Memory.scale16"
] | [] | true | false | true | false | false | let low_lemma_store_mem128_lo64 b i v h =
| let ptr = buffer_addr b h + scale16 i in
let v128 = buffer_read b i h in
let v' = insert_nat64 v128 v 0 in
low_lemma_load_mem128 b i h;
low_lemma_store_mem128 b i v' h;
S.get_heap_val128_reveal ();
update_heap128_lo ptr v' (get_heap h);
S.update_heap64_reveal ();
S.update_heap32_reveal ();
insert_nat64_reveal () | false |
ConstructiveLogic.fst | ConstructiveLogic.ex10 | val ex10 : p: (_: Prims.int -> Prims.prop) -> Prims.unit | let ex10 (p : int -> prop) =
assert ((forall x. p x) ==> (exists x. p x))
by (let bf = implies_intro () in
witness (`0);
let bp0 = instantiate (binding_to_term bf) (`0) in
hyp (binding_to_namedv bp0)) | {
"file_name": "examples/tactics/eci19/ConstructiveLogic.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 38,
"end_line": 184,
"start_col": 0,
"start_line": 179
} | module ConstructiveLogic
open FStar.Tactics.V2
(*
As you probably know by now, verification in F* works by first computing
verification conditions for terms, and then discharging them via the SMT
solver (when they are not trivial).
When a program fails to verify, the user can take one of many paths.
Firstly, one can increase the time limit of the SMT solver, or change
its configuration in the hope that the proof will go through. More
commonly, however, the programmer needs to give the SMT solver some
help in the form of new facts that it can use. We've seen examples of
this when we call lemmas within a function body in order to make it
verify. For instance, compare the following two examples (the first of
which fails).
*)
[@expect_failure]
let modulo_add_fail (p:pos) (a b c : int)
: Lemma (requires (b % p == c % p)) (ensures ((a + b) % p == (a + c) % p))
= ()
let modulo_add (p:pos) (a b c : int)
: Lemma (requires (b % p == c % p)) (ensures ((a + b) % p == (a + c) % p))
= FStar.Math.Lemmas.modulo_distributivity a b p;
FStar.Math.Lemmas.modulo_distributivity a c p
(*
This style of proving has two serious disadvantages. First, the goal
and set of hypotheses and not visible to the user, so proving usually
involves some trial and error. Second, there is no automation: the user
is responsible for writing all intermediate assertions and lemma calls,
which also clutter the proof/program.
With tactics, we can do better. We can inspect the "proof state",
i.e. the hypotheses we have and goal we have to solve, and implement
automated proof procedures. We can use tactics to do non-trivial proofs
without the SMT solver, or to simply give it some help when that's more
convenient. In this file we will mostly focus on the first alternative.
To get our feet wet, we will start with some simple examples of logical
propositions. The SMT is very good at this, but we will not use it at
all in the following examples.
Let us prove that implication is reflexive. We will use some tactics
from the `FStar.Tactics.Logic` module, in order to introduce the
implication and use the hypothesis.
When the goal is an implication, `implies_intro` will introduce the
implication and return a `binder` which represents the variable that was
pushed into the context. In the example, we use this `binder` to solve
the goal via `hyp`.
*)
let ex1 (p : prop) =
assert (p ==> p)
by (let b = implies_intro () in
hyp (binding_to_namedv b))
(*
The `qed` tactic checks that there are no more open goals when called,
or fails. We can use it here to check that we have fully solved the
assertion via tactics.
*)
(* This would fail with: (Error) user tactic failed: qed: not done! *)
//let _ =
// assert True
// by (qed ())
let ex1_qed (p : prop) =
assert (p ==> p)
by (let b = implies_intro () in
hyp (binding_to_namedv b);
qed ())
(* Exercise: add intermediate `dump` calls to see how the proofstate evolves *)
(* The following examples are somewhat similar, try to follow them by looking
at the proof states. *)
let ex2 (p q : prop) =
assert (p ==> q ==> p)
by (let bp = implies_intro () in
let _ = implies_intro () in
hyp (binding_to_namedv bp);
qed ())
(*
We need some more interesting tactics in order to handle more kinds
of formulae, we now go over a few of them.
*)
(*
The `split` tactic will turn a goal that is a conjunction into separate
goals for each conjunct, which we can then solve independently.
*)
let ex3 (p q : prop) =
assert (p ==> q ==> q /\ p)
by (let bp = implies_intro () in
let bq = implies_intro () in
split ();
(* Now we have two goals: q and p *)
hyp (binding_to_namedv bq);
(* Only one goal left, p *)
hyp (binding_to_namedv bp);
(* Done! *)
qed ())
(* `destruct_and` can be used to destruct a conjunction and get hypotheses
for each conjunct. *)
let ex4 (p q : prop) =
assert (p /\ q ==> p)
by (let h = implies_intro () in
let (bp, bq) = destruct_and (binding_to_term h) in
hyp (binding_to_namedv bp);
qed ())
(* The `left` and `right` tactics solve a disjunction by reducing
it to the left or right disjunct accordingly. *)
let ex5 (p q : prop) =
assert (p ==> p \/ q)
by (let bp = implies_intro () in
left ();
hyp (binding_to_namedv bp);
qed ())
let ex6 (p q : prop) =
assert (p ==> q \/ p)
by (let bp = implies_intro () in
right ();
hyp (binding_to_namedv bp);
qed ())
(* `cases_or` instead destroys a disjunction `p \/ q`, and splits the
`phi` goal into `p ==> phi` and `q ==> phi`. *)
let ex7 (p q : prop) =
assert (p \/ q ==> q \/ p)
by (let bp_or_q = implies_intro () in
cases_or (binding_to_term bp_or_q);
(* first case *)
let bp = implies_intro () in
right ();
hyp (binding_to_namedv bp);
(* second case *)
let bq = implies_intro () in
left ();
hyp (binding_to_namedv bq);
qed ())
(* To use an implication, we can use the `mapply` tactic. This tactic
takes a `term` argument, so we need to cast the `binder` to a `term` via
`binder_to_term`. *)
let ex8 (p q : prop) =
assert ((p ==> q) ==> p ==> q)
by (let i = implies_intro () in
let h = implies_intro () in
mapply i;
mapply h;
qed ())
(* `forall_intro` will turn a goal of the shape `forall (x:t). phi` into
`phi`, while adding a variable `x` (of type `t`) to the context and
returning a binder for it. *)
let ex9 (p : prop) =
assert (p ==> (forall (_x:int). p))
by (let bp = implies_intro () in
let _bx = forall_intro () in
hyp (binding_to_namedv bp);
qed ())
(* `instantiate` will instantiate a forall with some particular term
and add the new hypothesis to the context. The `witness` tactic solves
an existential goal with the explicit witness, but requires a proof of
the property. Here we use zero as the witness, via a static quotation | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Tactics.Effect.fsti.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": false,
"source_file": "ConstructiveLogic.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"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 | p: (_: Prims.int -> Prims.prop) -> Prims.unit | Prims.Tot | [
"total"
] | [] | [
"Prims.int",
"Prims.prop",
"FStar.Tactics.Effect.assert_by_tactic",
"Prims.l_imp",
"Prims.l_Forall",
"Prims.l_Exists",
"Prims.unit",
"FStar.Tactics.V2.Logic.hyp",
"FStar.Tactics.V2.SyntaxCoercions.binding_to_namedv",
"FStar.Tactics.NamedView.binding",
"FStar.Tactics.V2.Logic.instantiate",
"FStar.Tactics.V2.SyntaxCoercions.binding_to_term",
"FStar.Tactics.V2.Logic.witness",
"FStar.Tactics.V2.Logic.implies_intro"
] | [] | false | false | false | true | false | let ex10 (p: (int -> prop)) =
| FStar.Tactics.Effect.assert_by_tactic ((forall x. p x) ==> (exists x. p x))
(fun _ ->
();
(let bf = implies_intro () in
witness (`0);
let bp0 = instantiate (binding_to_term bf) (`0) in
hyp (binding_to_namedv bp0))) | false |
|
ConstructiveLogic.fst | ConstructiveLogic.ex7 | val ex7 : p: Prims.prop -> q: Prims.prop -> Prims.unit | let ex7 (p q : prop) =
assert (p \/ q ==> q \/ p)
by (let bp_or_q = implies_intro () in
cases_or (binding_to_term bp_or_q);
(* first case *)
let bp = implies_intro () in
right ();
hyp (binding_to_namedv bp);
(* second case *)
let bq = implies_intro () in
left ();
hyp (binding_to_namedv bq);
qed ()) | {
"file_name": "examples/tactics/eci19/ConstructiveLogic.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 17,
"end_line": 151,
"start_col": 0,
"start_line": 139
} | module ConstructiveLogic
open FStar.Tactics.V2
(*
As you probably know by now, verification in F* works by first computing
verification conditions for terms, and then discharging them via the SMT
solver (when they are not trivial).
When a program fails to verify, the user can take one of many paths.
Firstly, one can increase the time limit of the SMT solver, or change
its configuration in the hope that the proof will go through. More
commonly, however, the programmer needs to give the SMT solver some
help in the form of new facts that it can use. We've seen examples of
this when we call lemmas within a function body in order to make it
verify. For instance, compare the following two examples (the first of
which fails).
*)
[@expect_failure]
let modulo_add_fail (p:pos) (a b c : int)
: Lemma (requires (b % p == c % p)) (ensures ((a + b) % p == (a + c) % p))
= ()
let modulo_add (p:pos) (a b c : int)
: Lemma (requires (b % p == c % p)) (ensures ((a + b) % p == (a + c) % p))
= FStar.Math.Lemmas.modulo_distributivity a b p;
FStar.Math.Lemmas.modulo_distributivity a c p
(*
This style of proving has two serious disadvantages. First, the goal
and set of hypotheses and not visible to the user, so proving usually
involves some trial and error. Second, there is no automation: the user
is responsible for writing all intermediate assertions and lemma calls,
which also clutter the proof/program.
With tactics, we can do better. We can inspect the "proof state",
i.e. the hypotheses we have and goal we have to solve, and implement
automated proof procedures. We can use tactics to do non-trivial proofs
without the SMT solver, or to simply give it some help when that's more
convenient. In this file we will mostly focus on the first alternative.
To get our feet wet, we will start with some simple examples of logical
propositions. The SMT is very good at this, but we will not use it at
all in the following examples.
Let us prove that implication is reflexive. We will use some tactics
from the `FStar.Tactics.Logic` module, in order to introduce the
implication and use the hypothesis.
When the goal is an implication, `implies_intro` will introduce the
implication and return a `binder` which represents the variable that was
pushed into the context. In the example, we use this `binder` to solve
the goal via `hyp`.
*)
let ex1 (p : prop) =
assert (p ==> p)
by (let b = implies_intro () in
hyp (binding_to_namedv b))
(*
The `qed` tactic checks that there are no more open goals when called,
or fails. We can use it here to check that we have fully solved the
assertion via tactics.
*)
(* This would fail with: (Error) user tactic failed: qed: not done! *)
//let _ =
// assert True
// by (qed ())
let ex1_qed (p : prop) =
assert (p ==> p)
by (let b = implies_intro () in
hyp (binding_to_namedv b);
qed ())
(* Exercise: add intermediate `dump` calls to see how the proofstate evolves *)
(* The following examples are somewhat similar, try to follow them by looking
at the proof states. *)
let ex2 (p q : prop) =
assert (p ==> q ==> p)
by (let bp = implies_intro () in
let _ = implies_intro () in
hyp (binding_to_namedv bp);
qed ())
(*
We need some more interesting tactics in order to handle more kinds
of formulae, we now go over a few of them.
*)
(*
The `split` tactic will turn a goal that is a conjunction into separate
goals for each conjunct, which we can then solve independently.
*)
let ex3 (p q : prop) =
assert (p ==> q ==> q /\ p)
by (let bp = implies_intro () in
let bq = implies_intro () in
split ();
(* Now we have two goals: q and p *)
hyp (binding_to_namedv bq);
(* Only one goal left, p *)
hyp (binding_to_namedv bp);
(* Done! *)
qed ())
(* `destruct_and` can be used to destruct a conjunction and get hypotheses
for each conjunct. *)
let ex4 (p q : prop) =
assert (p /\ q ==> p)
by (let h = implies_intro () in
let (bp, bq) = destruct_and (binding_to_term h) in
hyp (binding_to_namedv bp);
qed ())
(* The `left` and `right` tactics solve a disjunction by reducing
it to the left or right disjunct accordingly. *)
let ex5 (p q : prop) =
assert (p ==> p \/ q)
by (let bp = implies_intro () in
left ();
hyp (binding_to_namedv bp);
qed ())
let ex6 (p q : prop) =
assert (p ==> q \/ p)
by (let bp = implies_intro () in
right ();
hyp (binding_to_namedv bp);
qed ())
(* `cases_or` instead destroys a disjunction `p \/ q`, and splits the | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Tactics.Effect.fsti.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": false,
"source_file": "ConstructiveLogic.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"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 | p: Prims.prop -> q: Prims.prop -> Prims.unit | Prims.Tot | [
"total"
] | [] | [
"Prims.prop",
"FStar.Tactics.Effect.assert_by_tactic",
"Prims.l_imp",
"Prims.l_or",
"Prims.unit",
"FStar.Tactics.V2.Derived.qed",
"FStar.Tactics.V2.Logic.hyp",
"FStar.Tactics.V2.SyntaxCoercions.binding_to_namedv",
"FStar.Tactics.V2.Logic.left",
"FStar.Tactics.NamedView.binding",
"FStar.Tactics.V2.Logic.implies_intro",
"FStar.Tactics.V2.Logic.right",
"FStar.Tactics.V2.Logic.cases_or",
"FStar.Tactics.V2.SyntaxCoercions.binding_to_term"
] | [] | false | false | false | true | false | let ex7 (p q: prop) =
| FStar.Tactics.Effect.assert_by_tactic (p \/ q ==> q \/ p)
(fun _ ->
();
(let bp_or_q = implies_intro () in
cases_or (binding_to_term bp_or_q);
let bp = implies_intro () in
right ();
hyp (binding_to_namedv bp);
let bq = implies_intro () in
left ();
hyp (binding_to_namedv bq);
qed ())) | false |
|
Vale.X64.InsAes.fst | Vale.X64.InsAes.va_lemma_AESNI_dec | val va_lemma_AESNI_dec : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm -> src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_dec dst src) va_s0 /\ va_is_dst_xmm dst va_s0 /\
va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_s.inv_mix_columns_LE
(Vale.AES.AES_common_s.inv_sub_bytes (Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0
dst)))) (va_eval_xmm va_s0 src) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM
(va_update_operand_xmm dst va_sM va_s0))))) | val va_lemma_AESNI_dec : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm -> src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_dec dst src) va_s0 /\ va_is_dst_xmm dst va_s0 /\
va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_s.inv_mix_columns_LE
(Vale.AES.AES_common_s.inv_sub_bytes (Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0
dst)))) (va_eval_xmm va_s0 src) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM
(va_update_operand_xmm dst va_sM va_s0))))) | let va_lemma_AESNI_dec va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_dec) (va_code_AESNI_dec dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM) | {
"file_name": "obj/Vale.X64.InsAes.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 240,
"start_col": 0,
"start_line": 234
} | module Vale.X64.InsAes
open Vale.Def.Types_s
open Vale.X64.Machine_s
open Vale.X64
open Vale.X64.State
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.Decls
open Vale.X64.CPU_Features_s
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
module P = Vale.X64.Print_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 4 --max_fuel 4 --z3rlimit 20"
//-- Pclmulqdq
[@ "opaque_to_smt"]
let va_code_Pclmulqdq dst src dstHi srcHi =
(mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16 else 0)))
(OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_Pclmulqdq dst src dstHi srcHi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Pclmulqdq va_b0 va_s0 dst src dstHi srcHi =
va_reveal_opaque (`%va_code_Pclmulqdq) (va_code_Pclmulqdq dst src dstHi srcHi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16
else 0))) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) +
(if srcHi then 16 else 0))) (OReg dst) (OReg src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Pclmulqdq dst src dstHi srcHi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Pclmulqdq (va_code_Pclmulqdq dst src dstHi srcHi) va_s0 dst src
dstHi srcHi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VPclmulqdq
[@ "opaque_to_smt"]
let va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then 16 else 0)))
(OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VPclmulqdq va_b0 va_s0 dst src1 src2 src1Hi src2Hi =
va_reveal_opaque (`%va_code_VPclmulqdq) (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then
16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0)
+ (if src2Hi then 16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VPclmulqdq dst src1 src2 src1Hi src2Hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VPclmulqdq (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi) va_s0
dst src1 src2 src1Hi src2Hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc
[@ "opaque_to_smt"]
let va_code_AESNI_enc dst src =
(mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc) (va_code_AESNI_enc dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc (va_code_AESNI_enc dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc
[@ "opaque_to_smt"]
let va_code_VAESNI_enc dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc) (va_code_VAESNI_enc dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1)
(OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc (va_code_VAESNI_enc dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc_last
[@ "opaque_to_smt"]
let va_code_AESNI_enc_last dst src =
(mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc_last dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc_last va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc_last) (va_code_AESNI_enc_last dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg
src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc_last dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc_last (va_code_AESNI_enc_last dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc_last
[@ "opaque_to_smt"]
let va_code_VAESNI_enc_last dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc_last dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc_last va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc_last) (va_code_VAESNI_enc_last dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2)))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg
src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc_last dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc_last (va_code_VAESNI_enc_last dst src1 src2) va_s0 dst
src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_dec
val va_code_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code
[@ "opaque_to_smt"]
let va_code_AESNI_dec dst src =
(mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src)))
val va_codegen_success_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_dec dst src =
(va_ttrue ())
val va_lemma_AESNI_dec : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm -> src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_dec dst src) va_s0 /\ va_is_dst_xmm dst va_s0 /\
va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_s.inv_mix_columns_LE
(Vale.AES.AES_common_s.inv_sub_bytes (Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0
dst)))) (va_eval_xmm va_s0 src) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM
(va_update_operand_xmm dst va_sM va_s0))))) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.State.fsti.checked",
"Vale.X64.Print_s.fst.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.AES.AES_s.fst.checked",
"Vale.AES.AES_common_s.fst.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsAes.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Print_s",
"short_module": "P"
},
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"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.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"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": 4,
"initial_ifuel": 0,
"max_fuel": 4,
"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 |
va_b0: Vale.X64.Decls.va_code ->
va_s0: Vale.X64.Decls.va_state ->
dst: Vale.X64.Decls.va_operand_xmm ->
src: Vale.X64.Decls.va_operand_xmm
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.Decls.va_operand_xmm",
"Vale.X64.State.vale_state",
"Vale.X64.Lemmas.fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.tuple2",
"Prims.nat",
"Vale.X64.Decls.va_eval_ins",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.inOut",
"Vale.X64.Instruction_s.opXmm",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_AESNI_dec",
"Vale.X64.Machine_s.OReg",
"Vale.X64.Machine_s.quad32",
"Vale.X64.Machine_s.reg_xmm",
"Prims.unit",
"Vale.X64.Decls.va_ins_lemma",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.InsAes.va_code_AESNI_dec"
] | [] | false | false | false | false | false | let va_lemma_AESNI_dec va_b0 va_s0 dst src =
| va_reveal_opaque (`%va_code_AESNI_dec) (va_code_AESNI_dec dst src);
let va_old_s:va_state = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src))) va_s0;
let va_sM, va_fM =
va_eval_ins (mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src))) va_s0
in
(va_sM, va_fM) | false |
Vale.X64.InsAes.fst | Vale.X64.InsAes.va_lemma_AESNI_dec_last | val va_lemma_AESNI_dec_last : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm ->
src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_dec_last dst src) va_s0 /\ va_is_dst_xmm dst
va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_common_s.inv_sub_bytes
(Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0 dst))) (va_eval_xmm va_s0 src) /\
va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM
va_s0))))) | val va_lemma_AESNI_dec_last : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm ->
src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_dec_last dst src) va_s0 /\ va_is_dst_xmm dst
va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_common_s.inv_sub_bytes
(Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0 dst))) (va_eval_xmm va_s0 src) /\
va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM
va_s0))))) | let va_lemma_AESNI_dec_last va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_dec_last) (va_code_AESNI_dec_last dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_dec_last) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_dec_last) (OReg dst) (OReg
src))) va_s0 in
(va_sM, va_fM) | {
"file_name": "obj/Vale.X64.InsAes.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 305,
"start_col": 0,
"start_line": 299
} | module Vale.X64.InsAes
open Vale.Def.Types_s
open Vale.X64.Machine_s
open Vale.X64
open Vale.X64.State
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.Decls
open Vale.X64.CPU_Features_s
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
module P = Vale.X64.Print_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 4 --max_fuel 4 --z3rlimit 20"
//-- Pclmulqdq
[@ "opaque_to_smt"]
let va_code_Pclmulqdq dst src dstHi srcHi =
(mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16 else 0)))
(OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_Pclmulqdq dst src dstHi srcHi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Pclmulqdq va_b0 va_s0 dst src dstHi srcHi =
va_reveal_opaque (`%va_code_Pclmulqdq) (va_code_Pclmulqdq dst src dstHi srcHi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16
else 0))) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) +
(if srcHi then 16 else 0))) (OReg dst) (OReg src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Pclmulqdq dst src dstHi srcHi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Pclmulqdq (va_code_Pclmulqdq dst src dstHi srcHi) va_s0 dst src
dstHi srcHi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VPclmulqdq
[@ "opaque_to_smt"]
let va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then 16 else 0)))
(OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VPclmulqdq va_b0 va_s0 dst src1 src2 src1Hi src2Hi =
va_reveal_opaque (`%va_code_VPclmulqdq) (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then
16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0)
+ (if src2Hi then 16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VPclmulqdq dst src1 src2 src1Hi src2Hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VPclmulqdq (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi) va_s0
dst src1 src2 src1Hi src2Hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc
[@ "opaque_to_smt"]
let va_code_AESNI_enc dst src =
(mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc) (va_code_AESNI_enc dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc (va_code_AESNI_enc dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc
[@ "opaque_to_smt"]
let va_code_VAESNI_enc dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc) (va_code_VAESNI_enc dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1)
(OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc (va_code_VAESNI_enc dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc_last
[@ "opaque_to_smt"]
let va_code_AESNI_enc_last dst src =
(mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc_last dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc_last va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc_last) (va_code_AESNI_enc_last dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg
src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc_last dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc_last (va_code_AESNI_enc_last dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc_last
[@ "opaque_to_smt"]
let va_code_VAESNI_enc_last dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc_last dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc_last va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc_last) (va_code_VAESNI_enc_last dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2)))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg
src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc_last dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc_last (va_code_VAESNI_enc_last dst src1 src2) va_s0 dst
src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_dec
val va_code_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code
[@ "opaque_to_smt"]
let va_code_AESNI_dec dst src =
(mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src)))
val va_codegen_success_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_dec dst src =
(va_ttrue ())
val va_lemma_AESNI_dec : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm -> src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_dec dst src) va_s0 /\ va_is_dst_xmm dst va_s0 /\
va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_s.inv_mix_columns_LE
(Vale.AES.AES_common_s.inv_sub_bytes (Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0
dst)))) (va_eval_xmm va_s0 src) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM
(va_update_operand_xmm dst va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_AESNI_dec va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_dec) (va_code_AESNI_dec dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_dec (dst:va_operand_xmm) (src:va_operand_xmm) (va_s0:va_state) (va_k:(va_state ->
unit -> Type0)) : Type0 =
(va_is_dst_xmm dst va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled /\
(forall (va_x_dst:va_value_xmm) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl
(va_upd_operand_xmm dst va_x_dst va_s0) in va_get_ok va_sM /\ va_eval_xmm va_sM dst ==
Vale.Def.Types_s.quad32_xor (Vale.AES.AES_s.inv_mix_columns_LE
(Vale.AES.AES_common_s.inv_sub_bytes (Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0
dst)))) (va_eval_xmm va_s0 src) ==> va_k va_sM (())))
val va_wpProof_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_dec dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_dec dst src) ([va_Mod_flags;
va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_dec dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_dec (va_code_AESNI_dec dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AESNI_dec (dst:va_operand_xmm) (src:va_operand_xmm) : (va_quickCode unit
(va_code_AESNI_dec dst src)) =
(va_QProc (va_code_AESNI_dec dst src) ([va_Mod_flags; va_mod_xmm dst]) (va_wp_AESNI_dec dst src)
(va_wpProof_AESNI_dec dst src))
//--
//-- AESNI_dec_last
val va_code_AESNI_dec_last : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code
[@ "opaque_to_smt"]
let va_code_AESNI_dec_last dst src =
(mk_ins (make_instr (I.ins_AESNI_dec_last) (OReg dst) (OReg src)))
val va_codegen_success_AESNI_dec_last : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_dec_last dst src =
(va_ttrue ())
val va_lemma_AESNI_dec_last : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm ->
src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_dec_last dst src) va_s0 /\ va_is_dst_xmm dst
va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_common_s.inv_sub_bytes
(Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0 dst))) (va_eval_xmm va_s0 src) /\
va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM
va_s0))))) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.State.fsti.checked",
"Vale.X64.Print_s.fst.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.AES.AES_s.fst.checked",
"Vale.AES.AES_common_s.fst.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsAes.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Print_s",
"short_module": "P"
},
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"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.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"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": 4,
"initial_ifuel": 0,
"max_fuel": 4,
"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 |
va_b0: Vale.X64.Decls.va_code ->
va_s0: Vale.X64.Decls.va_state ->
dst: Vale.X64.Decls.va_operand_xmm ->
src: Vale.X64.Decls.va_operand_xmm
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.Decls.va_operand_xmm",
"Vale.X64.State.vale_state",
"Vale.X64.Lemmas.fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.tuple2",
"Prims.nat",
"Vale.X64.Decls.va_eval_ins",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.inOut",
"Vale.X64.Instruction_s.opXmm",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_AESNI_dec_last",
"Vale.X64.Machine_s.OReg",
"Vale.X64.Machine_s.quad32",
"Vale.X64.Machine_s.reg_xmm",
"Prims.unit",
"Vale.X64.Decls.va_ins_lemma",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.InsAes.va_code_AESNI_dec_last"
] | [] | false | false | false | false | false | let va_lemma_AESNI_dec_last va_b0 va_s0 dst src =
| va_reveal_opaque (`%va_code_AESNI_dec_last) (va_code_AESNI_dec_last dst src);
let va_old_s:va_state = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_dec_last) (OReg dst) (OReg src))) va_s0;
let va_sM, va_fM =
va_eval_ins (mk_ins (make_instr (I.ins_AESNI_dec_last) (OReg dst) (OReg src))) va_s0
in
(va_sM, va_fM) | false |
Vale.X64.InsAes.fst | Vale.X64.InsAes.va_code_AESNI_dec_last | val va_code_AESNI_dec_last : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code | val va_code_AESNI_dec_last : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code | let va_code_AESNI_dec_last dst src =
(mk_ins (make_instr (I.ins_AESNI_dec_last) (OReg dst) (OReg src))) | {
"file_name": "obj/Vale.X64.InsAes.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 68,
"end_line": 280,
"start_col": 0,
"start_line": 279
} | module Vale.X64.InsAes
open Vale.Def.Types_s
open Vale.X64.Machine_s
open Vale.X64
open Vale.X64.State
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.Decls
open Vale.X64.CPU_Features_s
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
module P = Vale.X64.Print_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 4 --max_fuel 4 --z3rlimit 20"
//-- Pclmulqdq
[@ "opaque_to_smt"]
let va_code_Pclmulqdq dst src dstHi srcHi =
(mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16 else 0)))
(OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_Pclmulqdq dst src dstHi srcHi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Pclmulqdq va_b0 va_s0 dst src dstHi srcHi =
va_reveal_opaque (`%va_code_Pclmulqdq) (va_code_Pclmulqdq dst src dstHi srcHi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16
else 0))) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) +
(if srcHi then 16 else 0))) (OReg dst) (OReg src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Pclmulqdq dst src dstHi srcHi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Pclmulqdq (va_code_Pclmulqdq dst src dstHi srcHi) va_s0 dst src
dstHi srcHi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VPclmulqdq
[@ "opaque_to_smt"]
let va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then 16 else 0)))
(OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VPclmulqdq va_b0 va_s0 dst src1 src2 src1Hi src2Hi =
va_reveal_opaque (`%va_code_VPclmulqdq) (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then
16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0)
+ (if src2Hi then 16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VPclmulqdq dst src1 src2 src1Hi src2Hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VPclmulqdq (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi) va_s0
dst src1 src2 src1Hi src2Hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc
[@ "opaque_to_smt"]
let va_code_AESNI_enc dst src =
(mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc) (va_code_AESNI_enc dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc (va_code_AESNI_enc dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc
[@ "opaque_to_smt"]
let va_code_VAESNI_enc dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc) (va_code_VAESNI_enc dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1)
(OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc (va_code_VAESNI_enc dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc_last
[@ "opaque_to_smt"]
let va_code_AESNI_enc_last dst src =
(mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc_last dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc_last va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc_last) (va_code_AESNI_enc_last dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg
src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc_last dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc_last (va_code_AESNI_enc_last dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc_last
[@ "opaque_to_smt"]
let va_code_VAESNI_enc_last dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc_last dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc_last va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc_last) (va_code_VAESNI_enc_last dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2)))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg
src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc_last dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc_last (va_code_VAESNI_enc_last dst src1 src2) va_s0 dst
src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_dec
val va_code_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code
[@ "opaque_to_smt"]
let va_code_AESNI_dec dst src =
(mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src)))
val va_codegen_success_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_dec dst src =
(va_ttrue ())
val va_lemma_AESNI_dec : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm -> src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_dec dst src) va_s0 /\ va_is_dst_xmm dst va_s0 /\
va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_s.inv_mix_columns_LE
(Vale.AES.AES_common_s.inv_sub_bytes (Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0
dst)))) (va_eval_xmm va_s0 src) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM
(va_update_operand_xmm dst va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_AESNI_dec va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_dec) (va_code_AESNI_dec dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_dec (dst:va_operand_xmm) (src:va_operand_xmm) (va_s0:va_state) (va_k:(va_state ->
unit -> Type0)) : Type0 =
(va_is_dst_xmm dst va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled /\
(forall (va_x_dst:va_value_xmm) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl
(va_upd_operand_xmm dst va_x_dst va_s0) in va_get_ok va_sM /\ va_eval_xmm va_sM dst ==
Vale.Def.Types_s.quad32_xor (Vale.AES.AES_s.inv_mix_columns_LE
(Vale.AES.AES_common_s.inv_sub_bytes (Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0
dst)))) (va_eval_xmm va_s0 src) ==> va_k va_sM (())))
val va_wpProof_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_dec dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_dec dst src) ([va_Mod_flags;
va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_dec dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_dec (va_code_AESNI_dec dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AESNI_dec (dst:va_operand_xmm) (src:va_operand_xmm) : (va_quickCode unit
(va_code_AESNI_dec dst src)) =
(va_QProc (va_code_AESNI_dec dst src) ([va_Mod_flags; va_mod_xmm dst]) (va_wp_AESNI_dec dst src)
(va_wpProof_AESNI_dec dst src))
//--
//-- AESNI_dec_last
val va_code_AESNI_dec_last : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.State.fsti.checked",
"Vale.X64.Print_s.fst.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.AES.AES_s.fst.checked",
"Vale.AES.AES_common_s.fst.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsAes.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Print_s",
"short_module": "P"
},
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"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.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"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": 4,
"initial_ifuel": 0,
"max_fuel": 4,
"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 | dst: Vale.X64.Decls.va_operand_xmm -> src: Vale.X64.Decls.va_operand_xmm -> Vale.X64.Decls.va_code | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.Decls.va_operand_xmm",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.inOut",
"Vale.X64.Instruction_s.opXmm",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_AESNI_dec_last",
"Vale.X64.Machine_s.OReg",
"Vale.X64.Machine_s.quad32",
"Vale.X64.Machine_s.reg_xmm",
"Vale.X64.Decls.va_code"
] | [] | false | false | false | true | false | let va_code_AESNI_dec_last dst src =
| (mk_ins (make_instr (I.ins_AESNI_dec_last) (OReg dst) (OReg src))) | false |
Vale.X64.InsAes.fst | Vale.X64.InsAes.va_code_AESNI_keygen_assist | val va_code_AESNI_keygen_assist : dst:va_operand_xmm -> src:va_operand_xmm -> imm:nat8 -> Tot
va_code | val va_code_AESNI_keygen_assist : dst:va_operand_xmm -> src:va_operand_xmm -> imm:nat8 -> Tot
va_code | let va_code_AESNI_keygen_assist dst src imm =
(mk_ins (make_instr (I.ins_AESNI_keygen_assist imm) (OReg dst) (OReg src))) | {
"file_name": "obj/Vale.X64.InsAes.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 77,
"end_line": 405,
"start_col": 0,
"start_line": 404
} | module Vale.X64.InsAes
open Vale.Def.Types_s
open Vale.X64.Machine_s
open Vale.X64
open Vale.X64.State
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.Decls
open Vale.X64.CPU_Features_s
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
module P = Vale.X64.Print_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 4 --max_fuel 4 --z3rlimit 20"
//-- Pclmulqdq
[@ "opaque_to_smt"]
let va_code_Pclmulqdq dst src dstHi srcHi =
(mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16 else 0)))
(OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_Pclmulqdq dst src dstHi srcHi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Pclmulqdq va_b0 va_s0 dst src dstHi srcHi =
va_reveal_opaque (`%va_code_Pclmulqdq) (va_code_Pclmulqdq dst src dstHi srcHi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16
else 0))) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) +
(if srcHi then 16 else 0))) (OReg dst) (OReg src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Pclmulqdq dst src dstHi srcHi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Pclmulqdq (va_code_Pclmulqdq dst src dstHi srcHi) va_s0 dst src
dstHi srcHi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VPclmulqdq
[@ "opaque_to_smt"]
let va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then 16 else 0)))
(OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VPclmulqdq va_b0 va_s0 dst src1 src2 src1Hi src2Hi =
va_reveal_opaque (`%va_code_VPclmulqdq) (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then
16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0)
+ (if src2Hi then 16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VPclmulqdq dst src1 src2 src1Hi src2Hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VPclmulqdq (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi) va_s0
dst src1 src2 src1Hi src2Hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc
[@ "opaque_to_smt"]
let va_code_AESNI_enc dst src =
(mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc) (va_code_AESNI_enc dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc (va_code_AESNI_enc dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc
[@ "opaque_to_smt"]
let va_code_VAESNI_enc dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc) (va_code_VAESNI_enc dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1)
(OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc (va_code_VAESNI_enc dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc_last
[@ "opaque_to_smt"]
let va_code_AESNI_enc_last dst src =
(mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc_last dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc_last va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc_last) (va_code_AESNI_enc_last dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg
src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc_last dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc_last (va_code_AESNI_enc_last dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc_last
[@ "opaque_to_smt"]
let va_code_VAESNI_enc_last dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc_last dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc_last va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc_last) (va_code_VAESNI_enc_last dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2)))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg
src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc_last dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc_last (va_code_VAESNI_enc_last dst src1 src2) va_s0 dst
src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_dec
val va_code_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code
[@ "opaque_to_smt"]
let va_code_AESNI_dec dst src =
(mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src)))
val va_codegen_success_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_dec dst src =
(va_ttrue ())
val va_lemma_AESNI_dec : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm -> src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_dec dst src) va_s0 /\ va_is_dst_xmm dst va_s0 /\
va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_s.inv_mix_columns_LE
(Vale.AES.AES_common_s.inv_sub_bytes (Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0
dst)))) (va_eval_xmm va_s0 src) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM
(va_update_operand_xmm dst va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_AESNI_dec va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_dec) (va_code_AESNI_dec dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_dec (dst:va_operand_xmm) (src:va_operand_xmm) (va_s0:va_state) (va_k:(va_state ->
unit -> Type0)) : Type0 =
(va_is_dst_xmm dst va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled /\
(forall (va_x_dst:va_value_xmm) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl
(va_upd_operand_xmm dst va_x_dst va_s0) in va_get_ok va_sM /\ va_eval_xmm va_sM dst ==
Vale.Def.Types_s.quad32_xor (Vale.AES.AES_s.inv_mix_columns_LE
(Vale.AES.AES_common_s.inv_sub_bytes (Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0
dst)))) (va_eval_xmm va_s0 src) ==> va_k va_sM (())))
val va_wpProof_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_dec dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_dec dst src) ([va_Mod_flags;
va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_dec dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_dec (va_code_AESNI_dec dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AESNI_dec (dst:va_operand_xmm) (src:va_operand_xmm) : (va_quickCode unit
(va_code_AESNI_dec dst src)) =
(va_QProc (va_code_AESNI_dec dst src) ([va_Mod_flags; va_mod_xmm dst]) (va_wp_AESNI_dec dst src)
(va_wpProof_AESNI_dec dst src))
//--
//-- AESNI_dec_last
val va_code_AESNI_dec_last : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code
[@ "opaque_to_smt"]
let va_code_AESNI_dec_last dst src =
(mk_ins (make_instr (I.ins_AESNI_dec_last) (OReg dst) (OReg src)))
val va_codegen_success_AESNI_dec_last : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_dec_last dst src =
(va_ttrue ())
val va_lemma_AESNI_dec_last : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm ->
src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_dec_last dst src) va_s0 /\ va_is_dst_xmm dst
va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_common_s.inv_sub_bytes
(Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0 dst))) (va_eval_xmm va_s0 src) /\
va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM
va_s0)))))
[@"opaque_to_smt"]
let va_lemma_AESNI_dec_last va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_dec_last) (va_code_AESNI_dec_last dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_dec_last) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_dec_last) (OReg dst) (OReg
src))) va_s0 in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_dec_last (dst:va_operand_xmm) (src:va_operand_xmm) (va_s0:va_state) (va_k:(va_state
-> unit -> Type0)) : Type0 =
(va_is_dst_xmm dst va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled /\
(forall (va_x_dst:va_value_xmm) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl
(va_upd_operand_xmm dst va_x_dst va_s0) in va_get_ok va_sM /\ va_eval_xmm va_sM dst ==
Vale.Def.Types_s.quad32_xor (Vale.AES.AES_common_s.inv_sub_bytes
(Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0 dst))) (va_eval_xmm va_s0 src) ==> va_k
va_sM (())))
val va_wpProof_AESNI_dec_last : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_dec_last dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_dec_last dst src)
([va_Mod_flags; va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_dec_last dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_dec_last (va_code_AESNI_dec_last dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AESNI_dec_last (dst:va_operand_xmm) (src:va_operand_xmm) : (va_quickCode unit
(va_code_AESNI_dec_last dst src)) =
(va_QProc (va_code_AESNI_dec_last dst src) ([va_Mod_flags; va_mod_xmm dst]) (va_wp_AESNI_dec_last
dst src) (va_wpProof_AESNI_dec_last dst src))
//--
//-- AESNI_imc
val va_code_AESNI_imc : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code
[@ "opaque_to_smt"]
let va_code_AESNI_imc dst src =
(mk_ins (make_instr (I.ins_AESNI_imc) (OReg dst) (OReg src)))
val va_codegen_success_AESNI_imc : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_imc dst src =
(va_ttrue ())
val va_lemma_AESNI_imc : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm -> src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_imc dst src) va_s0 /\ va_is_dst_xmm dst va_s0 /\
va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.AES.AES_s.inv_mix_columns_LE (va_eval_xmm va_s0 src) /\
va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM
va_s0)))))
[@"opaque_to_smt"]
let va_lemma_AESNI_imc va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_imc) (va_code_AESNI_imc dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_imc) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_imc) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_imc (dst:va_operand_xmm) (src:va_operand_xmm) (va_s0:va_state) (va_k:(va_state ->
unit -> Type0)) : Type0 =
(va_is_dst_xmm dst va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled /\
(forall (va_x_dst:va_value_xmm) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl
(va_upd_operand_xmm dst va_x_dst va_s0) in va_get_ok va_sM /\ va_eval_xmm va_sM dst ==
Vale.AES.AES_s.inv_mix_columns_LE (va_eval_xmm va_s0 src) ==> va_k va_sM (())))
val va_wpProof_AESNI_imc : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_imc dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_imc dst src) ([va_Mod_flags;
va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_imc dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_imc (va_code_AESNI_imc dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AESNI_imc (dst:va_operand_xmm) (src:va_operand_xmm) : (va_quickCode unit
(va_code_AESNI_imc dst src)) =
(va_QProc (va_code_AESNI_imc dst src) ([va_Mod_flags; va_mod_xmm dst]) (va_wp_AESNI_imc dst src)
(va_wpProof_AESNI_imc dst src))
//--
//-- AESNI_keygen_assist | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.State.fsti.checked",
"Vale.X64.Print_s.fst.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.AES.AES_s.fst.checked",
"Vale.AES.AES_common_s.fst.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsAes.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Print_s",
"short_module": "P"
},
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"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.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"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": 4,
"initial_ifuel": 0,
"max_fuel": 4,
"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 |
dst: Vale.X64.Decls.va_operand_xmm ->
src: Vale.X64.Decls.va_operand_xmm ->
imm: Vale.Def.Types_s.nat8
-> Vale.X64.Decls.va_code | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.Decls.va_operand_xmm",
"Vale.Def.Types_s.nat8",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.out",
"Vale.X64.Instruction_s.opXmm",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_AESNI_keygen_assist",
"Vale.X64.Machine_s.OReg",
"Vale.X64.Machine_s.quad32",
"Vale.X64.Machine_s.reg_xmm",
"Vale.X64.Decls.va_code"
] | [] | false | false | false | true | false | let va_code_AESNI_keygen_assist dst src imm =
| (mk_ins (make_instr (I.ins_AESNI_keygen_assist imm) (OReg dst) (OReg src))) | false |
Vale.X64.InsAes.fst | Vale.X64.InsAes.va_wpProof_AESNI_dec_last | val va_wpProof_AESNI_dec_last : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_dec_last dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_dec_last dst src)
([va_Mod_flags; va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) | val va_wpProof_AESNI_dec_last : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_dec_last dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_dec_last dst src)
([va_Mod_flags; va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) | let va_wpProof_AESNI_dec_last dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_dec_last (va_code_AESNI_dec_last dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.X64.InsAes.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 332,
"start_col": 0,
"start_line": 325
} | module Vale.X64.InsAes
open Vale.Def.Types_s
open Vale.X64.Machine_s
open Vale.X64
open Vale.X64.State
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.Decls
open Vale.X64.CPU_Features_s
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
module P = Vale.X64.Print_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 4 --max_fuel 4 --z3rlimit 20"
//-- Pclmulqdq
[@ "opaque_to_smt"]
let va_code_Pclmulqdq dst src dstHi srcHi =
(mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16 else 0)))
(OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_Pclmulqdq dst src dstHi srcHi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Pclmulqdq va_b0 va_s0 dst src dstHi srcHi =
va_reveal_opaque (`%va_code_Pclmulqdq) (va_code_Pclmulqdq dst src dstHi srcHi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16
else 0))) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) +
(if srcHi then 16 else 0))) (OReg dst) (OReg src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Pclmulqdq dst src dstHi srcHi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Pclmulqdq (va_code_Pclmulqdq dst src dstHi srcHi) va_s0 dst src
dstHi srcHi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VPclmulqdq
[@ "opaque_to_smt"]
let va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then 16 else 0)))
(OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VPclmulqdq va_b0 va_s0 dst src1 src2 src1Hi src2Hi =
va_reveal_opaque (`%va_code_VPclmulqdq) (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then
16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0)
+ (if src2Hi then 16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VPclmulqdq dst src1 src2 src1Hi src2Hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VPclmulqdq (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi) va_s0
dst src1 src2 src1Hi src2Hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc
[@ "opaque_to_smt"]
let va_code_AESNI_enc dst src =
(mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc) (va_code_AESNI_enc dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc (va_code_AESNI_enc dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc
[@ "opaque_to_smt"]
let va_code_VAESNI_enc dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc) (va_code_VAESNI_enc dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1)
(OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc (va_code_VAESNI_enc dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc_last
[@ "opaque_to_smt"]
let va_code_AESNI_enc_last dst src =
(mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc_last dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc_last va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc_last) (va_code_AESNI_enc_last dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg
src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc_last dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc_last (va_code_AESNI_enc_last dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc_last
[@ "opaque_to_smt"]
let va_code_VAESNI_enc_last dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc_last dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc_last va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc_last) (va_code_VAESNI_enc_last dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2)))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg
src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc_last dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc_last (va_code_VAESNI_enc_last dst src1 src2) va_s0 dst
src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_dec
val va_code_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code
[@ "opaque_to_smt"]
let va_code_AESNI_dec dst src =
(mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src)))
val va_codegen_success_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_dec dst src =
(va_ttrue ())
val va_lemma_AESNI_dec : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm -> src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_dec dst src) va_s0 /\ va_is_dst_xmm dst va_s0 /\
va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_s.inv_mix_columns_LE
(Vale.AES.AES_common_s.inv_sub_bytes (Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0
dst)))) (va_eval_xmm va_s0 src) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM
(va_update_operand_xmm dst va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_AESNI_dec va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_dec) (va_code_AESNI_dec dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_dec (dst:va_operand_xmm) (src:va_operand_xmm) (va_s0:va_state) (va_k:(va_state ->
unit -> Type0)) : Type0 =
(va_is_dst_xmm dst va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled /\
(forall (va_x_dst:va_value_xmm) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl
(va_upd_operand_xmm dst va_x_dst va_s0) in va_get_ok va_sM /\ va_eval_xmm va_sM dst ==
Vale.Def.Types_s.quad32_xor (Vale.AES.AES_s.inv_mix_columns_LE
(Vale.AES.AES_common_s.inv_sub_bytes (Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0
dst)))) (va_eval_xmm va_s0 src) ==> va_k va_sM (())))
val va_wpProof_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_dec dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_dec dst src) ([va_Mod_flags;
va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_dec dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_dec (va_code_AESNI_dec dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AESNI_dec (dst:va_operand_xmm) (src:va_operand_xmm) : (va_quickCode unit
(va_code_AESNI_dec dst src)) =
(va_QProc (va_code_AESNI_dec dst src) ([va_Mod_flags; va_mod_xmm dst]) (va_wp_AESNI_dec dst src)
(va_wpProof_AESNI_dec dst src))
//--
//-- AESNI_dec_last
val va_code_AESNI_dec_last : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code
[@ "opaque_to_smt"]
let va_code_AESNI_dec_last dst src =
(mk_ins (make_instr (I.ins_AESNI_dec_last) (OReg dst) (OReg src)))
val va_codegen_success_AESNI_dec_last : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_dec_last dst src =
(va_ttrue ())
val va_lemma_AESNI_dec_last : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm ->
src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_dec_last dst src) va_s0 /\ va_is_dst_xmm dst
va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_common_s.inv_sub_bytes
(Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0 dst))) (va_eval_xmm va_s0 src) /\
va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM
va_s0)))))
[@"opaque_to_smt"]
let va_lemma_AESNI_dec_last va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_dec_last) (va_code_AESNI_dec_last dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_dec_last) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_dec_last) (OReg dst) (OReg
src))) va_s0 in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_dec_last (dst:va_operand_xmm) (src:va_operand_xmm) (va_s0:va_state) (va_k:(va_state
-> unit -> Type0)) : Type0 =
(va_is_dst_xmm dst va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled /\
(forall (va_x_dst:va_value_xmm) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl
(va_upd_operand_xmm dst va_x_dst va_s0) in va_get_ok va_sM /\ va_eval_xmm va_sM dst ==
Vale.Def.Types_s.quad32_xor (Vale.AES.AES_common_s.inv_sub_bytes
(Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0 dst))) (va_eval_xmm va_s0 src) ==> va_k
va_sM (())))
val va_wpProof_AESNI_dec_last : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_dec_last dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_dec_last dst src)
([va_Mod_flags; va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.State.fsti.checked",
"Vale.X64.Print_s.fst.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.AES.AES_s.fst.checked",
"Vale.AES.AES_common_s.fst.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsAes.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Print_s",
"short_module": "P"
},
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"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.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"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": 4,
"initial_ifuel": 0,
"max_fuel": 4,
"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 |
dst: Vale.X64.Decls.va_operand_xmm ->
src: Vale.X64.Decls.va_operand_xmm ->
va_s0: Vale.X64.Decls.va_state ->
va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_operand_xmm",
"Vale.X64.Decls.va_state",
"Prims.unit",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.X64.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.X64.QuickCode.mod_t",
"Vale.X64.QuickCode.va_Mod_flags",
"Vale.X64.QuickCode.va_mod_xmm",
"Prims.Nil",
"Prims._assert",
"Vale.X64.Decls.va_state_eq",
"Vale.X64.Decls.va_update_flags",
"Vale.X64.Decls.va_update_ok",
"Vale.X64.Decls.va_update_operand_xmm",
"Vale.X64.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.X64.State.vale_state",
"Vale.X64.InsAes.va_lemma_AESNI_dec_last",
"Vale.X64.InsAes.va_code_AESNI_dec_last"
] | [] | false | false | false | false | false | let va_wpProof_AESNI_dec_last dst src va_s0 va_k =
| let va_sM, va_f0 = va_lemma_AESNI_dec_last (va_code_AESNI_dec_last dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM
(va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | false |
Vale.X64.InsAes.fst | Vale.X64.InsAes.va_code_AESNI_imc | val va_code_AESNI_imc : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code | val va_code_AESNI_imc : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code | let va_code_AESNI_imc dst src =
(mk_ins (make_instr (I.ins_AESNI_imc) (OReg dst) (OReg src))) | {
"file_name": "obj/Vale.X64.InsAes.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 63,
"end_line": 345,
"start_col": 0,
"start_line": 344
} | module Vale.X64.InsAes
open Vale.Def.Types_s
open Vale.X64.Machine_s
open Vale.X64
open Vale.X64.State
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.Decls
open Vale.X64.CPU_Features_s
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
module P = Vale.X64.Print_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 4 --max_fuel 4 --z3rlimit 20"
//-- Pclmulqdq
[@ "opaque_to_smt"]
let va_code_Pclmulqdq dst src dstHi srcHi =
(mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16 else 0)))
(OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_Pclmulqdq dst src dstHi srcHi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Pclmulqdq va_b0 va_s0 dst src dstHi srcHi =
va_reveal_opaque (`%va_code_Pclmulqdq) (va_code_Pclmulqdq dst src dstHi srcHi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16
else 0))) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) +
(if srcHi then 16 else 0))) (OReg dst) (OReg src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Pclmulqdq dst src dstHi srcHi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Pclmulqdq (va_code_Pclmulqdq dst src dstHi srcHi) va_s0 dst src
dstHi srcHi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VPclmulqdq
[@ "opaque_to_smt"]
let va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then 16 else 0)))
(OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VPclmulqdq va_b0 va_s0 dst src1 src2 src1Hi src2Hi =
va_reveal_opaque (`%va_code_VPclmulqdq) (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then
16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0)
+ (if src2Hi then 16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VPclmulqdq dst src1 src2 src1Hi src2Hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VPclmulqdq (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi) va_s0
dst src1 src2 src1Hi src2Hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc
[@ "opaque_to_smt"]
let va_code_AESNI_enc dst src =
(mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc) (va_code_AESNI_enc dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc (va_code_AESNI_enc dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc
[@ "opaque_to_smt"]
let va_code_VAESNI_enc dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc) (va_code_VAESNI_enc dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1)
(OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc (va_code_VAESNI_enc dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc_last
[@ "opaque_to_smt"]
let va_code_AESNI_enc_last dst src =
(mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc_last dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc_last va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc_last) (va_code_AESNI_enc_last dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg
src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc_last dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc_last (va_code_AESNI_enc_last dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc_last
[@ "opaque_to_smt"]
let va_code_VAESNI_enc_last dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc_last dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc_last va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc_last) (va_code_VAESNI_enc_last dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2)))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg
src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc_last dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc_last (va_code_VAESNI_enc_last dst src1 src2) va_s0 dst
src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_dec
val va_code_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code
[@ "opaque_to_smt"]
let va_code_AESNI_dec dst src =
(mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src)))
val va_codegen_success_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_dec dst src =
(va_ttrue ())
val va_lemma_AESNI_dec : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm -> src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_dec dst src) va_s0 /\ va_is_dst_xmm dst va_s0 /\
va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_s.inv_mix_columns_LE
(Vale.AES.AES_common_s.inv_sub_bytes (Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0
dst)))) (va_eval_xmm va_s0 src) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM
(va_update_operand_xmm dst va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_AESNI_dec va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_dec) (va_code_AESNI_dec dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_dec (dst:va_operand_xmm) (src:va_operand_xmm) (va_s0:va_state) (va_k:(va_state ->
unit -> Type0)) : Type0 =
(va_is_dst_xmm dst va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled /\
(forall (va_x_dst:va_value_xmm) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl
(va_upd_operand_xmm dst va_x_dst va_s0) in va_get_ok va_sM /\ va_eval_xmm va_sM dst ==
Vale.Def.Types_s.quad32_xor (Vale.AES.AES_s.inv_mix_columns_LE
(Vale.AES.AES_common_s.inv_sub_bytes (Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0
dst)))) (va_eval_xmm va_s0 src) ==> va_k va_sM (())))
val va_wpProof_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_dec dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_dec dst src) ([va_Mod_flags;
va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_dec dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_dec (va_code_AESNI_dec dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AESNI_dec (dst:va_operand_xmm) (src:va_operand_xmm) : (va_quickCode unit
(va_code_AESNI_dec dst src)) =
(va_QProc (va_code_AESNI_dec dst src) ([va_Mod_flags; va_mod_xmm dst]) (va_wp_AESNI_dec dst src)
(va_wpProof_AESNI_dec dst src))
//--
//-- AESNI_dec_last
val va_code_AESNI_dec_last : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code
[@ "opaque_to_smt"]
let va_code_AESNI_dec_last dst src =
(mk_ins (make_instr (I.ins_AESNI_dec_last) (OReg dst) (OReg src)))
val va_codegen_success_AESNI_dec_last : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_dec_last dst src =
(va_ttrue ())
val va_lemma_AESNI_dec_last : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm ->
src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_dec_last dst src) va_s0 /\ va_is_dst_xmm dst
va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_common_s.inv_sub_bytes
(Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0 dst))) (va_eval_xmm va_s0 src) /\
va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM
va_s0)))))
[@"opaque_to_smt"]
let va_lemma_AESNI_dec_last va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_dec_last) (va_code_AESNI_dec_last dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_dec_last) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_dec_last) (OReg dst) (OReg
src))) va_s0 in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_dec_last (dst:va_operand_xmm) (src:va_operand_xmm) (va_s0:va_state) (va_k:(va_state
-> unit -> Type0)) : Type0 =
(va_is_dst_xmm dst va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled /\
(forall (va_x_dst:va_value_xmm) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl
(va_upd_operand_xmm dst va_x_dst va_s0) in va_get_ok va_sM /\ va_eval_xmm va_sM dst ==
Vale.Def.Types_s.quad32_xor (Vale.AES.AES_common_s.inv_sub_bytes
(Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0 dst))) (va_eval_xmm va_s0 src) ==> va_k
va_sM (())))
val va_wpProof_AESNI_dec_last : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_dec_last dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_dec_last dst src)
([va_Mod_flags; va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_dec_last dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_dec_last (va_code_AESNI_dec_last dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AESNI_dec_last (dst:va_operand_xmm) (src:va_operand_xmm) : (va_quickCode unit
(va_code_AESNI_dec_last dst src)) =
(va_QProc (va_code_AESNI_dec_last dst src) ([va_Mod_flags; va_mod_xmm dst]) (va_wp_AESNI_dec_last
dst src) (va_wpProof_AESNI_dec_last dst src))
//--
//-- AESNI_imc
val va_code_AESNI_imc : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.State.fsti.checked",
"Vale.X64.Print_s.fst.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.AES.AES_s.fst.checked",
"Vale.AES.AES_common_s.fst.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsAes.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Print_s",
"short_module": "P"
},
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"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.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"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": 4,
"initial_ifuel": 0,
"max_fuel": 4,
"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 | dst: Vale.X64.Decls.va_operand_xmm -> src: Vale.X64.Decls.va_operand_xmm -> Vale.X64.Decls.va_code | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.Decls.va_operand_xmm",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.out",
"Vale.X64.Instruction_s.opXmm",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_AESNI_imc",
"Vale.X64.Machine_s.OReg",
"Vale.X64.Machine_s.quad32",
"Vale.X64.Machine_s.reg_xmm",
"Vale.X64.Decls.va_code"
] | [] | false | false | false | true | false | let va_code_AESNI_imc dst src =
| (mk_ins (make_instr (I.ins_AESNI_imc) (OReg dst) (OReg src))) | false |
Vale.X64.InsAes.fst | Vale.X64.InsAes.va_wpProof_AESNI_imc | val va_wpProof_AESNI_imc : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_imc dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_imc dst src) ([va_Mod_flags;
va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) | val va_wpProof_AESNI_imc : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_imc dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_imc dst src) ([va_Mod_flags;
va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) | let va_wpProof_AESNI_imc dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_imc (va_code_AESNI_imc dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.X64.InsAes.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 393,
"start_col": 0,
"start_line": 386
} | module Vale.X64.InsAes
open Vale.Def.Types_s
open Vale.X64.Machine_s
open Vale.X64
open Vale.X64.State
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.Decls
open Vale.X64.CPU_Features_s
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
module P = Vale.X64.Print_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 4 --max_fuel 4 --z3rlimit 20"
//-- Pclmulqdq
[@ "opaque_to_smt"]
let va_code_Pclmulqdq dst src dstHi srcHi =
(mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16 else 0)))
(OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_Pclmulqdq dst src dstHi srcHi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Pclmulqdq va_b0 va_s0 dst src dstHi srcHi =
va_reveal_opaque (`%va_code_Pclmulqdq) (va_code_Pclmulqdq dst src dstHi srcHi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16
else 0))) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) +
(if srcHi then 16 else 0))) (OReg dst) (OReg src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Pclmulqdq dst src dstHi srcHi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Pclmulqdq (va_code_Pclmulqdq dst src dstHi srcHi) va_s0 dst src
dstHi srcHi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VPclmulqdq
[@ "opaque_to_smt"]
let va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then 16 else 0)))
(OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VPclmulqdq va_b0 va_s0 dst src1 src2 src1Hi src2Hi =
va_reveal_opaque (`%va_code_VPclmulqdq) (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then
16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0)
+ (if src2Hi then 16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VPclmulqdq dst src1 src2 src1Hi src2Hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VPclmulqdq (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi) va_s0
dst src1 src2 src1Hi src2Hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc
[@ "opaque_to_smt"]
let va_code_AESNI_enc dst src =
(mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc) (va_code_AESNI_enc dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc (va_code_AESNI_enc dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc
[@ "opaque_to_smt"]
let va_code_VAESNI_enc dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc) (va_code_VAESNI_enc dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1)
(OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc (va_code_VAESNI_enc dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc_last
[@ "opaque_to_smt"]
let va_code_AESNI_enc_last dst src =
(mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc_last dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc_last va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc_last) (va_code_AESNI_enc_last dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg
src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc_last dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc_last (va_code_AESNI_enc_last dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc_last
[@ "opaque_to_smt"]
let va_code_VAESNI_enc_last dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc_last dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc_last va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc_last) (va_code_VAESNI_enc_last dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2)))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg
src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc_last dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc_last (va_code_VAESNI_enc_last dst src1 src2) va_s0 dst
src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_dec
val va_code_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code
[@ "opaque_to_smt"]
let va_code_AESNI_dec dst src =
(mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src)))
val va_codegen_success_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_dec dst src =
(va_ttrue ())
val va_lemma_AESNI_dec : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm -> src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_dec dst src) va_s0 /\ va_is_dst_xmm dst va_s0 /\
va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_s.inv_mix_columns_LE
(Vale.AES.AES_common_s.inv_sub_bytes (Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0
dst)))) (va_eval_xmm va_s0 src) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM
(va_update_operand_xmm dst va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_AESNI_dec va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_dec) (va_code_AESNI_dec dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_dec (dst:va_operand_xmm) (src:va_operand_xmm) (va_s0:va_state) (va_k:(va_state ->
unit -> Type0)) : Type0 =
(va_is_dst_xmm dst va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled /\
(forall (va_x_dst:va_value_xmm) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl
(va_upd_operand_xmm dst va_x_dst va_s0) in va_get_ok va_sM /\ va_eval_xmm va_sM dst ==
Vale.Def.Types_s.quad32_xor (Vale.AES.AES_s.inv_mix_columns_LE
(Vale.AES.AES_common_s.inv_sub_bytes (Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0
dst)))) (va_eval_xmm va_s0 src) ==> va_k va_sM (())))
val va_wpProof_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_dec dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_dec dst src) ([va_Mod_flags;
va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_dec dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_dec (va_code_AESNI_dec dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AESNI_dec (dst:va_operand_xmm) (src:va_operand_xmm) : (va_quickCode unit
(va_code_AESNI_dec dst src)) =
(va_QProc (va_code_AESNI_dec dst src) ([va_Mod_flags; va_mod_xmm dst]) (va_wp_AESNI_dec dst src)
(va_wpProof_AESNI_dec dst src))
//--
//-- AESNI_dec_last
val va_code_AESNI_dec_last : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code
[@ "opaque_to_smt"]
let va_code_AESNI_dec_last dst src =
(mk_ins (make_instr (I.ins_AESNI_dec_last) (OReg dst) (OReg src)))
val va_codegen_success_AESNI_dec_last : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_dec_last dst src =
(va_ttrue ())
val va_lemma_AESNI_dec_last : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm ->
src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_dec_last dst src) va_s0 /\ va_is_dst_xmm dst
va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_common_s.inv_sub_bytes
(Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0 dst))) (va_eval_xmm va_s0 src) /\
va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM
va_s0)))))
[@"opaque_to_smt"]
let va_lemma_AESNI_dec_last va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_dec_last) (va_code_AESNI_dec_last dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_dec_last) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_dec_last) (OReg dst) (OReg
src))) va_s0 in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_dec_last (dst:va_operand_xmm) (src:va_operand_xmm) (va_s0:va_state) (va_k:(va_state
-> unit -> Type0)) : Type0 =
(va_is_dst_xmm dst va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled /\
(forall (va_x_dst:va_value_xmm) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl
(va_upd_operand_xmm dst va_x_dst va_s0) in va_get_ok va_sM /\ va_eval_xmm va_sM dst ==
Vale.Def.Types_s.quad32_xor (Vale.AES.AES_common_s.inv_sub_bytes
(Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0 dst))) (va_eval_xmm va_s0 src) ==> va_k
va_sM (())))
val va_wpProof_AESNI_dec_last : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_dec_last dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_dec_last dst src)
([va_Mod_flags; va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_dec_last dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_dec_last (va_code_AESNI_dec_last dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AESNI_dec_last (dst:va_operand_xmm) (src:va_operand_xmm) : (va_quickCode unit
(va_code_AESNI_dec_last dst src)) =
(va_QProc (va_code_AESNI_dec_last dst src) ([va_Mod_flags; va_mod_xmm dst]) (va_wp_AESNI_dec_last
dst src) (va_wpProof_AESNI_dec_last dst src))
//--
//-- AESNI_imc
val va_code_AESNI_imc : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code
[@ "opaque_to_smt"]
let va_code_AESNI_imc dst src =
(mk_ins (make_instr (I.ins_AESNI_imc) (OReg dst) (OReg src)))
val va_codegen_success_AESNI_imc : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_imc dst src =
(va_ttrue ())
val va_lemma_AESNI_imc : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm -> src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_imc dst src) va_s0 /\ va_is_dst_xmm dst va_s0 /\
va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.AES.AES_s.inv_mix_columns_LE (va_eval_xmm va_s0 src) /\
va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM
va_s0)))))
[@"opaque_to_smt"]
let va_lemma_AESNI_imc va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_imc) (va_code_AESNI_imc dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_imc) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_imc) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_imc (dst:va_operand_xmm) (src:va_operand_xmm) (va_s0:va_state) (va_k:(va_state ->
unit -> Type0)) : Type0 =
(va_is_dst_xmm dst va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled /\
(forall (va_x_dst:va_value_xmm) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl
(va_upd_operand_xmm dst va_x_dst va_s0) in va_get_ok va_sM /\ va_eval_xmm va_sM dst ==
Vale.AES.AES_s.inv_mix_columns_LE (va_eval_xmm va_s0 src) ==> va_k va_sM (())))
val va_wpProof_AESNI_imc : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_imc dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_imc dst src) ([va_Mod_flags;
va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.State.fsti.checked",
"Vale.X64.Print_s.fst.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.AES.AES_s.fst.checked",
"Vale.AES.AES_common_s.fst.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsAes.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Print_s",
"short_module": "P"
},
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"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.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"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": 4,
"initial_ifuel": 0,
"max_fuel": 4,
"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 |
dst: Vale.X64.Decls.va_operand_xmm ->
src: Vale.X64.Decls.va_operand_xmm ->
va_s0: Vale.X64.Decls.va_state ->
va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_operand_xmm",
"Vale.X64.Decls.va_state",
"Prims.unit",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.X64.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.X64.QuickCode.mod_t",
"Vale.X64.QuickCode.va_Mod_flags",
"Vale.X64.QuickCode.va_mod_xmm",
"Prims.Nil",
"Prims._assert",
"Vale.X64.Decls.va_state_eq",
"Vale.X64.Decls.va_update_flags",
"Vale.X64.Decls.va_update_ok",
"Vale.X64.Decls.va_update_operand_xmm",
"Vale.X64.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.X64.State.vale_state",
"Vale.X64.InsAes.va_lemma_AESNI_imc",
"Vale.X64.InsAes.va_code_AESNI_imc"
] | [] | false | false | false | false | false | let va_wpProof_AESNI_imc dst src va_s0 va_k =
| let va_sM, va_f0 = va_lemma_AESNI_imc (va_code_AESNI_imc dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM
(va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | false |
Vale.X64.InsAes.fst | Vale.X64.InsAes.va_quick_AESNI_dec_last | val va_quick_AESNI_dec_last (dst src: va_operand_xmm)
: (va_quickCode unit (va_code_AESNI_dec_last dst src)) | val va_quick_AESNI_dec_last (dst src: va_operand_xmm)
: (va_quickCode unit (va_code_AESNI_dec_last dst src)) | let va_quick_AESNI_dec_last (dst:va_operand_xmm) (src:va_operand_xmm) : (va_quickCode unit
(va_code_AESNI_dec_last dst src)) =
(va_QProc (va_code_AESNI_dec_last dst src) ([va_Mod_flags; va_mod_xmm dst]) (va_wp_AESNI_dec_last
dst src) (va_wpProof_AESNI_dec_last dst src)) | {
"file_name": "obj/Vale.X64.InsAes.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 49,
"end_line": 338,
"start_col": 0,
"start_line": 335
} | module Vale.X64.InsAes
open Vale.Def.Types_s
open Vale.X64.Machine_s
open Vale.X64
open Vale.X64.State
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.Decls
open Vale.X64.CPU_Features_s
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
module P = Vale.X64.Print_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 4 --max_fuel 4 --z3rlimit 20"
//-- Pclmulqdq
[@ "opaque_to_smt"]
let va_code_Pclmulqdq dst src dstHi srcHi =
(mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16 else 0)))
(OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_Pclmulqdq dst src dstHi srcHi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Pclmulqdq va_b0 va_s0 dst src dstHi srcHi =
va_reveal_opaque (`%va_code_Pclmulqdq) (va_code_Pclmulqdq dst src dstHi srcHi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16
else 0))) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) +
(if srcHi then 16 else 0))) (OReg dst) (OReg src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Pclmulqdq dst src dstHi srcHi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Pclmulqdq (va_code_Pclmulqdq dst src dstHi srcHi) va_s0 dst src
dstHi srcHi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VPclmulqdq
[@ "opaque_to_smt"]
let va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then 16 else 0)))
(OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VPclmulqdq va_b0 va_s0 dst src1 src2 src1Hi src2Hi =
va_reveal_opaque (`%va_code_VPclmulqdq) (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then
16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0)
+ (if src2Hi then 16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VPclmulqdq dst src1 src2 src1Hi src2Hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VPclmulqdq (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi) va_s0
dst src1 src2 src1Hi src2Hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc
[@ "opaque_to_smt"]
let va_code_AESNI_enc dst src =
(mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc) (va_code_AESNI_enc dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc (va_code_AESNI_enc dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc
[@ "opaque_to_smt"]
let va_code_VAESNI_enc dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc) (va_code_VAESNI_enc dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1)
(OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc (va_code_VAESNI_enc dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc_last
[@ "opaque_to_smt"]
let va_code_AESNI_enc_last dst src =
(mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc_last dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc_last va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc_last) (va_code_AESNI_enc_last dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg
src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc_last dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc_last (va_code_AESNI_enc_last dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc_last
[@ "opaque_to_smt"]
let va_code_VAESNI_enc_last dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc_last dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc_last va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc_last) (va_code_VAESNI_enc_last dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2)))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg
src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc_last dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc_last (va_code_VAESNI_enc_last dst src1 src2) va_s0 dst
src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_dec
val va_code_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code
[@ "opaque_to_smt"]
let va_code_AESNI_dec dst src =
(mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src)))
val va_codegen_success_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_dec dst src =
(va_ttrue ())
val va_lemma_AESNI_dec : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm -> src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_dec dst src) va_s0 /\ va_is_dst_xmm dst va_s0 /\
va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_s.inv_mix_columns_LE
(Vale.AES.AES_common_s.inv_sub_bytes (Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0
dst)))) (va_eval_xmm va_s0 src) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM
(va_update_operand_xmm dst va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_AESNI_dec va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_dec) (va_code_AESNI_dec dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_dec (dst:va_operand_xmm) (src:va_operand_xmm) (va_s0:va_state) (va_k:(va_state ->
unit -> Type0)) : Type0 =
(va_is_dst_xmm dst va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled /\
(forall (va_x_dst:va_value_xmm) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl
(va_upd_operand_xmm dst va_x_dst va_s0) in va_get_ok va_sM /\ va_eval_xmm va_sM dst ==
Vale.Def.Types_s.quad32_xor (Vale.AES.AES_s.inv_mix_columns_LE
(Vale.AES.AES_common_s.inv_sub_bytes (Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0
dst)))) (va_eval_xmm va_s0 src) ==> va_k va_sM (())))
val va_wpProof_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_dec dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_dec dst src) ([va_Mod_flags;
va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_dec dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_dec (va_code_AESNI_dec dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AESNI_dec (dst:va_operand_xmm) (src:va_operand_xmm) : (va_quickCode unit
(va_code_AESNI_dec dst src)) =
(va_QProc (va_code_AESNI_dec dst src) ([va_Mod_flags; va_mod_xmm dst]) (va_wp_AESNI_dec dst src)
(va_wpProof_AESNI_dec dst src))
//--
//-- AESNI_dec_last
val va_code_AESNI_dec_last : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code
[@ "opaque_to_smt"]
let va_code_AESNI_dec_last dst src =
(mk_ins (make_instr (I.ins_AESNI_dec_last) (OReg dst) (OReg src)))
val va_codegen_success_AESNI_dec_last : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_dec_last dst src =
(va_ttrue ())
val va_lemma_AESNI_dec_last : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm ->
src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_dec_last dst src) va_s0 /\ va_is_dst_xmm dst
va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_common_s.inv_sub_bytes
(Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0 dst))) (va_eval_xmm va_s0 src) /\
va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM
va_s0)))))
[@"opaque_to_smt"]
let va_lemma_AESNI_dec_last va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_dec_last) (va_code_AESNI_dec_last dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_dec_last) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_dec_last) (OReg dst) (OReg
src))) va_s0 in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_dec_last (dst:va_operand_xmm) (src:va_operand_xmm) (va_s0:va_state) (va_k:(va_state
-> unit -> Type0)) : Type0 =
(va_is_dst_xmm dst va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled /\
(forall (va_x_dst:va_value_xmm) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl
(va_upd_operand_xmm dst va_x_dst va_s0) in va_get_ok va_sM /\ va_eval_xmm va_sM dst ==
Vale.Def.Types_s.quad32_xor (Vale.AES.AES_common_s.inv_sub_bytes
(Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0 dst))) (va_eval_xmm va_s0 src) ==> va_k
va_sM (())))
val va_wpProof_AESNI_dec_last : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_dec_last dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_dec_last dst src)
([va_Mod_flags; va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_dec_last dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_dec_last (va_code_AESNI_dec_last dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.State.fsti.checked",
"Vale.X64.Print_s.fst.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.AES.AES_s.fst.checked",
"Vale.AES.AES_common_s.fst.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsAes.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Print_s",
"short_module": "P"
},
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"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.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"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": 4,
"initial_ifuel": 0,
"max_fuel": 4,
"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 | dst: Vale.X64.Decls.va_operand_xmm -> src: Vale.X64.Decls.va_operand_xmm
-> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.X64.InsAes.va_code_AESNI_dec_last dst src) | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.Decls.va_operand_xmm",
"Vale.X64.QuickCode.va_QProc",
"Prims.unit",
"Vale.X64.InsAes.va_code_AESNI_dec_last",
"Prims.Cons",
"Vale.X64.QuickCode.mod_t",
"Vale.X64.QuickCode.va_Mod_flags",
"Vale.X64.QuickCode.va_mod_xmm",
"Prims.Nil",
"Vale.X64.InsAes.va_wp_AESNI_dec_last",
"Vale.X64.InsAes.va_wpProof_AESNI_dec_last",
"Vale.X64.QuickCode.va_quickCode"
] | [] | false | false | false | false | false | let va_quick_AESNI_dec_last (dst src: va_operand_xmm)
: (va_quickCode unit (va_code_AESNI_dec_last dst src)) =
| (va_QProc (va_code_AESNI_dec_last dst src)
([va_Mod_flags; va_mod_xmm dst])
(va_wp_AESNI_dec_last dst src)
(va_wpProof_AESNI_dec_last dst src)) | false |
Vale.X64.InsAes.fst | Vale.X64.InsAes.va_quick_AESNI_imc | val va_quick_AESNI_imc (dst src: va_operand_xmm) : (va_quickCode unit (va_code_AESNI_imc dst src)) | val va_quick_AESNI_imc (dst src: va_operand_xmm) : (va_quickCode unit (va_code_AESNI_imc dst src)) | let va_quick_AESNI_imc (dst:va_operand_xmm) (src:va_operand_xmm) : (va_quickCode unit
(va_code_AESNI_imc dst src)) =
(va_QProc (va_code_AESNI_imc dst src) ([va_Mod_flags; va_mod_xmm dst]) (va_wp_AESNI_imc dst src)
(va_wpProof_AESNI_imc dst src)) | {
"file_name": "obj/Vale.X64.InsAes.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 35,
"end_line": 399,
"start_col": 0,
"start_line": 396
} | module Vale.X64.InsAes
open Vale.Def.Types_s
open Vale.X64.Machine_s
open Vale.X64
open Vale.X64.State
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.Decls
open Vale.X64.CPU_Features_s
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
module P = Vale.X64.Print_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 4 --max_fuel 4 --z3rlimit 20"
//-- Pclmulqdq
[@ "opaque_to_smt"]
let va_code_Pclmulqdq dst src dstHi srcHi =
(mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16 else 0)))
(OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_Pclmulqdq dst src dstHi srcHi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Pclmulqdq va_b0 va_s0 dst src dstHi srcHi =
va_reveal_opaque (`%va_code_Pclmulqdq) (va_code_Pclmulqdq dst src dstHi srcHi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16
else 0))) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) +
(if srcHi then 16 else 0))) (OReg dst) (OReg src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Pclmulqdq dst src dstHi srcHi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Pclmulqdq (va_code_Pclmulqdq dst src dstHi srcHi) va_s0 dst src
dstHi srcHi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VPclmulqdq
[@ "opaque_to_smt"]
let va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then 16 else 0)))
(OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VPclmulqdq va_b0 va_s0 dst src1 src2 src1Hi src2Hi =
va_reveal_opaque (`%va_code_VPclmulqdq) (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then
16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0)
+ (if src2Hi then 16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VPclmulqdq dst src1 src2 src1Hi src2Hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VPclmulqdq (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi) va_s0
dst src1 src2 src1Hi src2Hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc
[@ "opaque_to_smt"]
let va_code_AESNI_enc dst src =
(mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc) (va_code_AESNI_enc dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc (va_code_AESNI_enc dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc
[@ "opaque_to_smt"]
let va_code_VAESNI_enc dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc) (va_code_VAESNI_enc dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1)
(OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc (va_code_VAESNI_enc dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc_last
[@ "opaque_to_smt"]
let va_code_AESNI_enc_last dst src =
(mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc_last dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc_last va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc_last) (va_code_AESNI_enc_last dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg
src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc_last dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc_last (va_code_AESNI_enc_last dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc_last
[@ "opaque_to_smt"]
let va_code_VAESNI_enc_last dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc_last dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc_last va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc_last) (va_code_VAESNI_enc_last dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2)))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg
src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc_last dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc_last (va_code_VAESNI_enc_last dst src1 src2) va_s0 dst
src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_dec
val va_code_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code
[@ "opaque_to_smt"]
let va_code_AESNI_dec dst src =
(mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src)))
val va_codegen_success_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_dec dst src =
(va_ttrue ())
val va_lemma_AESNI_dec : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm -> src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_dec dst src) va_s0 /\ va_is_dst_xmm dst va_s0 /\
va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_s.inv_mix_columns_LE
(Vale.AES.AES_common_s.inv_sub_bytes (Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0
dst)))) (va_eval_xmm va_s0 src) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM
(va_update_operand_xmm dst va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_AESNI_dec va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_dec) (va_code_AESNI_dec dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_dec (dst:va_operand_xmm) (src:va_operand_xmm) (va_s0:va_state) (va_k:(va_state ->
unit -> Type0)) : Type0 =
(va_is_dst_xmm dst va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled /\
(forall (va_x_dst:va_value_xmm) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl
(va_upd_operand_xmm dst va_x_dst va_s0) in va_get_ok va_sM /\ va_eval_xmm va_sM dst ==
Vale.Def.Types_s.quad32_xor (Vale.AES.AES_s.inv_mix_columns_LE
(Vale.AES.AES_common_s.inv_sub_bytes (Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0
dst)))) (va_eval_xmm va_s0 src) ==> va_k va_sM (())))
val va_wpProof_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_dec dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_dec dst src) ([va_Mod_flags;
va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_dec dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_dec (va_code_AESNI_dec dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AESNI_dec (dst:va_operand_xmm) (src:va_operand_xmm) : (va_quickCode unit
(va_code_AESNI_dec dst src)) =
(va_QProc (va_code_AESNI_dec dst src) ([va_Mod_flags; va_mod_xmm dst]) (va_wp_AESNI_dec dst src)
(va_wpProof_AESNI_dec dst src))
//--
//-- AESNI_dec_last
val va_code_AESNI_dec_last : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code
[@ "opaque_to_smt"]
let va_code_AESNI_dec_last dst src =
(mk_ins (make_instr (I.ins_AESNI_dec_last) (OReg dst) (OReg src)))
val va_codegen_success_AESNI_dec_last : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_dec_last dst src =
(va_ttrue ())
val va_lemma_AESNI_dec_last : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm ->
src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_dec_last dst src) va_s0 /\ va_is_dst_xmm dst
va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_common_s.inv_sub_bytes
(Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0 dst))) (va_eval_xmm va_s0 src) /\
va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM
va_s0)))))
[@"opaque_to_smt"]
let va_lemma_AESNI_dec_last va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_dec_last) (va_code_AESNI_dec_last dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_dec_last) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_dec_last) (OReg dst) (OReg
src))) va_s0 in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_dec_last (dst:va_operand_xmm) (src:va_operand_xmm) (va_s0:va_state) (va_k:(va_state
-> unit -> Type0)) : Type0 =
(va_is_dst_xmm dst va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled /\
(forall (va_x_dst:va_value_xmm) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl
(va_upd_operand_xmm dst va_x_dst va_s0) in va_get_ok va_sM /\ va_eval_xmm va_sM dst ==
Vale.Def.Types_s.quad32_xor (Vale.AES.AES_common_s.inv_sub_bytes
(Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0 dst))) (va_eval_xmm va_s0 src) ==> va_k
va_sM (())))
val va_wpProof_AESNI_dec_last : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_dec_last dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_dec_last dst src)
([va_Mod_flags; va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_dec_last dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_dec_last (va_code_AESNI_dec_last dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AESNI_dec_last (dst:va_operand_xmm) (src:va_operand_xmm) : (va_quickCode unit
(va_code_AESNI_dec_last dst src)) =
(va_QProc (va_code_AESNI_dec_last dst src) ([va_Mod_flags; va_mod_xmm dst]) (va_wp_AESNI_dec_last
dst src) (va_wpProof_AESNI_dec_last dst src))
//--
//-- AESNI_imc
val va_code_AESNI_imc : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code
[@ "opaque_to_smt"]
let va_code_AESNI_imc dst src =
(mk_ins (make_instr (I.ins_AESNI_imc) (OReg dst) (OReg src)))
val va_codegen_success_AESNI_imc : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_imc dst src =
(va_ttrue ())
val va_lemma_AESNI_imc : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm -> src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_imc dst src) va_s0 /\ va_is_dst_xmm dst va_s0 /\
va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.AES.AES_s.inv_mix_columns_LE (va_eval_xmm va_s0 src) /\
va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM
va_s0)))))
[@"opaque_to_smt"]
let va_lemma_AESNI_imc va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_imc) (va_code_AESNI_imc dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_imc) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_imc) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_imc (dst:va_operand_xmm) (src:va_operand_xmm) (va_s0:va_state) (va_k:(va_state ->
unit -> Type0)) : Type0 =
(va_is_dst_xmm dst va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled /\
(forall (va_x_dst:va_value_xmm) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl
(va_upd_operand_xmm dst va_x_dst va_s0) in va_get_ok va_sM /\ va_eval_xmm va_sM dst ==
Vale.AES.AES_s.inv_mix_columns_LE (va_eval_xmm va_s0 src) ==> va_k va_sM (())))
val va_wpProof_AESNI_imc : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_imc dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_imc dst src) ([va_Mod_flags;
va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_imc dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_imc (va_code_AESNI_imc dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.State.fsti.checked",
"Vale.X64.Print_s.fst.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.AES.AES_s.fst.checked",
"Vale.AES.AES_common_s.fst.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsAes.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Print_s",
"short_module": "P"
},
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"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.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"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": 4,
"initial_ifuel": 0,
"max_fuel": 4,
"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 | dst: Vale.X64.Decls.va_operand_xmm -> src: Vale.X64.Decls.va_operand_xmm
-> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.X64.InsAes.va_code_AESNI_imc dst src) | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.Decls.va_operand_xmm",
"Vale.X64.QuickCode.va_QProc",
"Prims.unit",
"Vale.X64.InsAes.va_code_AESNI_imc",
"Prims.Cons",
"Vale.X64.QuickCode.mod_t",
"Vale.X64.QuickCode.va_Mod_flags",
"Vale.X64.QuickCode.va_mod_xmm",
"Prims.Nil",
"Vale.X64.InsAes.va_wp_AESNI_imc",
"Vale.X64.InsAes.va_wpProof_AESNI_imc",
"Vale.X64.QuickCode.va_quickCode"
] | [] | false | false | false | false | false | let va_quick_AESNI_imc (dst src: va_operand_xmm) : (va_quickCode unit (va_code_AESNI_imc dst src)) =
| (va_QProc (va_code_AESNI_imc dst src)
([va_Mod_flags; va_mod_xmm dst])
(va_wp_AESNI_imc dst src)
(va_wpProof_AESNI_imc dst src)) | false |
ConstructiveLogic.fst | ConstructiveLogic.ex11 | val ex11 : p: (_: Prims.nat -> Prims.prop) -> q: (_: Prims.nat -> Prims.prop) -> Prims.unit | let ex11 (p q : nat -> prop) =
assert ((forall x. p x) ==> (forall x. p x \/ q x))
by (smt ()) | {
"file_name": "examples/tactics/eci19/ConstructiveLogic.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 17,
"end_line": 191,
"start_col": 0,
"start_line": 189
} | module ConstructiveLogic
open FStar.Tactics.V2
(*
As you probably know by now, verification in F* works by first computing
verification conditions for terms, and then discharging them via the SMT
solver (when they are not trivial).
When a program fails to verify, the user can take one of many paths.
Firstly, one can increase the time limit of the SMT solver, or change
its configuration in the hope that the proof will go through. More
commonly, however, the programmer needs to give the SMT solver some
help in the form of new facts that it can use. We've seen examples of
this when we call lemmas within a function body in order to make it
verify. For instance, compare the following two examples (the first of
which fails).
*)
[@expect_failure]
let modulo_add_fail (p:pos) (a b c : int)
: Lemma (requires (b % p == c % p)) (ensures ((a + b) % p == (a + c) % p))
= ()
let modulo_add (p:pos) (a b c : int)
: Lemma (requires (b % p == c % p)) (ensures ((a + b) % p == (a + c) % p))
= FStar.Math.Lemmas.modulo_distributivity a b p;
FStar.Math.Lemmas.modulo_distributivity a c p
(*
This style of proving has two serious disadvantages. First, the goal
and set of hypotheses and not visible to the user, so proving usually
involves some trial and error. Second, there is no automation: the user
is responsible for writing all intermediate assertions and lemma calls,
which also clutter the proof/program.
With tactics, we can do better. We can inspect the "proof state",
i.e. the hypotheses we have and goal we have to solve, and implement
automated proof procedures. We can use tactics to do non-trivial proofs
without the SMT solver, or to simply give it some help when that's more
convenient. In this file we will mostly focus on the first alternative.
To get our feet wet, we will start with some simple examples of logical
propositions. The SMT is very good at this, but we will not use it at
all in the following examples.
Let us prove that implication is reflexive. We will use some tactics
from the `FStar.Tactics.Logic` module, in order to introduce the
implication and use the hypothesis.
When the goal is an implication, `implies_intro` will introduce the
implication and return a `binder` which represents the variable that was
pushed into the context. In the example, we use this `binder` to solve
the goal via `hyp`.
*)
let ex1 (p : prop) =
assert (p ==> p)
by (let b = implies_intro () in
hyp (binding_to_namedv b))
(*
The `qed` tactic checks that there are no more open goals when called,
or fails. We can use it here to check that we have fully solved the
assertion via tactics.
*)
(* This would fail with: (Error) user tactic failed: qed: not done! *)
//let _ =
// assert True
// by (qed ())
let ex1_qed (p : prop) =
assert (p ==> p)
by (let b = implies_intro () in
hyp (binding_to_namedv b);
qed ())
(* Exercise: add intermediate `dump` calls to see how the proofstate evolves *)
(* The following examples are somewhat similar, try to follow them by looking
at the proof states. *)
let ex2 (p q : prop) =
assert (p ==> q ==> p)
by (let bp = implies_intro () in
let _ = implies_intro () in
hyp (binding_to_namedv bp);
qed ())
(*
We need some more interesting tactics in order to handle more kinds
of formulae, we now go over a few of them.
*)
(*
The `split` tactic will turn a goal that is a conjunction into separate
goals for each conjunct, which we can then solve independently.
*)
let ex3 (p q : prop) =
assert (p ==> q ==> q /\ p)
by (let bp = implies_intro () in
let bq = implies_intro () in
split ();
(* Now we have two goals: q and p *)
hyp (binding_to_namedv bq);
(* Only one goal left, p *)
hyp (binding_to_namedv bp);
(* Done! *)
qed ())
(* `destruct_and` can be used to destruct a conjunction and get hypotheses
for each conjunct. *)
let ex4 (p q : prop) =
assert (p /\ q ==> p)
by (let h = implies_intro () in
let (bp, bq) = destruct_and (binding_to_term h) in
hyp (binding_to_namedv bp);
qed ())
(* The `left` and `right` tactics solve a disjunction by reducing
it to the left or right disjunct accordingly. *)
let ex5 (p q : prop) =
assert (p ==> p \/ q)
by (let bp = implies_intro () in
left ();
hyp (binding_to_namedv bp);
qed ())
let ex6 (p q : prop) =
assert (p ==> q \/ p)
by (let bp = implies_intro () in
right ();
hyp (binding_to_namedv bp);
qed ())
(* `cases_or` instead destroys a disjunction `p \/ q`, and splits the
`phi` goal into `p ==> phi` and `q ==> phi`. *)
let ex7 (p q : prop) =
assert (p \/ q ==> q \/ p)
by (let bp_or_q = implies_intro () in
cases_or (binding_to_term bp_or_q);
(* first case *)
let bp = implies_intro () in
right ();
hyp (binding_to_namedv bp);
(* second case *)
let bq = implies_intro () in
left ();
hyp (binding_to_namedv bq);
qed ())
(* To use an implication, we can use the `mapply` tactic. This tactic
takes a `term` argument, so we need to cast the `binder` to a `term` via
`binder_to_term`. *)
let ex8 (p q : prop) =
assert ((p ==> q) ==> p ==> q)
by (let i = implies_intro () in
let h = implies_intro () in
mapply i;
mapply h;
qed ())
(* `forall_intro` will turn a goal of the shape `forall (x:t). phi` into
`phi`, while adding a variable `x` (of type `t`) to the context and
returning a binder for it. *)
let ex9 (p : prop) =
assert (p ==> (forall (_x:int). p))
by (let bp = implies_intro () in
let _bx = forall_intro () in
hyp (binding_to_namedv bp);
qed ())
(* `instantiate` will instantiate a forall with some particular term
and add the new hypothesis to the context. The `witness` tactic solves
an existential goal with the explicit witness, but requires a proof of
the property. Here we use zero as the witness, via a static quotation
(`0) (more about quotations on a next chapter). *)
let ex10 (p : int -> prop) =
assert ((forall x. p x) ==> (exists x. p x))
by (let bf = implies_intro () in
witness (`0);
let bp0 = instantiate (binding_to_term bf) (`0) in
hyp (binding_to_namedv bp0))
(* Exercises: do these proofs constructively, and make sure to end with
a `qed ()` to check that the SMT solver is not used. *) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Tactics.Effect.fsti.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": false,
"source_file": "ConstructiveLogic.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"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 | p: (_: Prims.nat -> Prims.prop) -> q: (_: Prims.nat -> Prims.prop) -> Prims.unit | Prims.Tot | [
"total"
] | [] | [
"Prims.nat",
"Prims.prop",
"FStar.Tactics.Effect.assert_by_tactic",
"Prims.l_imp",
"Prims.l_Forall",
"Prims.l_or",
"Prims.unit",
"FStar.Tactics.V2.Derived.smt"
] | [] | false | false | false | true | false | let ex11 (p q: (nat -> prop)) =
| FStar.Tactics.Effect.assert_by_tactic ((forall x. p x) ==> (forall x. p x \/ q x))
(fun _ ->
();
(smt ())) | false |
|
ConstructiveLogic.fst | ConstructiveLogic.modulo_add | val modulo_add (p: pos) (a b c: int)
: Lemma (requires (b % p == c % p)) (ensures ((a + b) % p == (a + c) % p)) | val modulo_add (p: pos) (a b c: int)
: Lemma (requires (b % p == c % p)) (ensures ((a + b) % p == (a + c) % p)) | let modulo_add (p:pos) (a b c : int)
: Lemma (requires (b % p == c % p)) (ensures ((a + b) % p == (a + c) % p))
= FStar.Math.Lemmas.modulo_distributivity a b p;
FStar.Math.Lemmas.modulo_distributivity a c p | {
"file_name": "examples/tactics/eci19/ConstructiveLogic.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 49,
"end_line": 28,
"start_col": 0,
"start_line": 25
} | module ConstructiveLogic
open FStar.Tactics.V2
(*
As you probably know by now, verification in F* works by first computing
verification conditions for terms, and then discharging them via the SMT
solver (when they are not trivial).
When a program fails to verify, the user can take one of many paths.
Firstly, one can increase the time limit of the SMT solver, or change
its configuration in the hope that the proof will go through. More
commonly, however, the programmer needs to give the SMT solver some
help in the form of new facts that it can use. We've seen examples of
this when we call lemmas within a function body in order to make it
verify. For instance, compare the following two examples (the first of
which fails).
*)
[@expect_failure]
let modulo_add_fail (p:pos) (a b c : int)
: Lemma (requires (b % p == c % p)) (ensures ((a + b) % p == (a + c) % p))
= () | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Tactics.Effect.fsti.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": false,
"source_file": "ConstructiveLogic.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"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 | p: Prims.pos -> a: Prims.int -> b: Prims.int -> c: Prims.int
-> FStar.Pervasives.Lemma (requires b % p == c % p) (ensures (a + b) % p == (a + c) % p) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"Prims.pos",
"Prims.int",
"FStar.Math.Lemmas.modulo_distributivity",
"Prims.unit",
"Prims.eq2",
"Prims.op_Modulus",
"Prims.squash",
"Prims.op_Addition",
"Prims.Nil",
"FStar.Pervasives.pattern"
] | [] | true | false | true | false | false | let modulo_add (p: pos) (a b c: int)
: Lemma (requires (b % p == c % p)) (ensures ((a + b) % p == (a + c) % p)) =
| FStar.Math.Lemmas.modulo_distributivity a b p;
FStar.Math.Lemmas.modulo_distributivity a c p | false |
ConstructiveLogic.fst | ConstructiveLogic.ex14 | val ex14 : a: Type -> p: (_: a -> Prims.prop) -> q: (_: a -> Prims.prop) -> Prims.unit | let ex14 (a:Type) (p q : a -> prop) =
assert ((forall x. p x ==> q x) ==> (forall x. p x) ==> (forall x. q x))
by (smt ()) | {
"file_name": "examples/tactics/eci19/ConstructiveLogic.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 17,
"end_line": 203,
"start_col": 0,
"start_line": 201
} | module ConstructiveLogic
open FStar.Tactics.V2
(*
As you probably know by now, verification in F* works by first computing
verification conditions for terms, and then discharging them via the SMT
solver (when they are not trivial).
When a program fails to verify, the user can take one of many paths.
Firstly, one can increase the time limit of the SMT solver, or change
its configuration in the hope that the proof will go through. More
commonly, however, the programmer needs to give the SMT solver some
help in the form of new facts that it can use. We've seen examples of
this when we call lemmas within a function body in order to make it
verify. For instance, compare the following two examples (the first of
which fails).
*)
[@expect_failure]
let modulo_add_fail (p:pos) (a b c : int)
: Lemma (requires (b % p == c % p)) (ensures ((a + b) % p == (a + c) % p))
= ()
let modulo_add (p:pos) (a b c : int)
: Lemma (requires (b % p == c % p)) (ensures ((a + b) % p == (a + c) % p))
= FStar.Math.Lemmas.modulo_distributivity a b p;
FStar.Math.Lemmas.modulo_distributivity a c p
(*
This style of proving has two serious disadvantages. First, the goal
and set of hypotheses and not visible to the user, so proving usually
involves some trial and error. Second, there is no automation: the user
is responsible for writing all intermediate assertions and lemma calls,
which also clutter the proof/program.
With tactics, we can do better. We can inspect the "proof state",
i.e. the hypotheses we have and goal we have to solve, and implement
automated proof procedures. We can use tactics to do non-trivial proofs
without the SMT solver, or to simply give it some help when that's more
convenient. In this file we will mostly focus on the first alternative.
To get our feet wet, we will start with some simple examples of logical
propositions. The SMT is very good at this, but we will not use it at
all in the following examples.
Let us prove that implication is reflexive. We will use some tactics
from the `FStar.Tactics.Logic` module, in order to introduce the
implication and use the hypothesis.
When the goal is an implication, `implies_intro` will introduce the
implication and return a `binder` which represents the variable that was
pushed into the context. In the example, we use this `binder` to solve
the goal via `hyp`.
*)
let ex1 (p : prop) =
assert (p ==> p)
by (let b = implies_intro () in
hyp (binding_to_namedv b))
(*
The `qed` tactic checks that there are no more open goals when called,
or fails. We can use it here to check that we have fully solved the
assertion via tactics.
*)
(* This would fail with: (Error) user tactic failed: qed: not done! *)
//let _ =
// assert True
// by (qed ())
let ex1_qed (p : prop) =
assert (p ==> p)
by (let b = implies_intro () in
hyp (binding_to_namedv b);
qed ())
(* Exercise: add intermediate `dump` calls to see how the proofstate evolves *)
(* The following examples are somewhat similar, try to follow them by looking
at the proof states. *)
let ex2 (p q : prop) =
assert (p ==> q ==> p)
by (let bp = implies_intro () in
let _ = implies_intro () in
hyp (binding_to_namedv bp);
qed ())
(*
We need some more interesting tactics in order to handle more kinds
of formulae, we now go over a few of them.
*)
(*
The `split` tactic will turn a goal that is a conjunction into separate
goals for each conjunct, which we can then solve independently.
*)
let ex3 (p q : prop) =
assert (p ==> q ==> q /\ p)
by (let bp = implies_intro () in
let bq = implies_intro () in
split ();
(* Now we have two goals: q and p *)
hyp (binding_to_namedv bq);
(* Only one goal left, p *)
hyp (binding_to_namedv bp);
(* Done! *)
qed ())
(* `destruct_and` can be used to destruct a conjunction and get hypotheses
for each conjunct. *)
let ex4 (p q : prop) =
assert (p /\ q ==> p)
by (let h = implies_intro () in
let (bp, bq) = destruct_and (binding_to_term h) in
hyp (binding_to_namedv bp);
qed ())
(* The `left` and `right` tactics solve a disjunction by reducing
it to the left or right disjunct accordingly. *)
let ex5 (p q : prop) =
assert (p ==> p \/ q)
by (let bp = implies_intro () in
left ();
hyp (binding_to_namedv bp);
qed ())
let ex6 (p q : prop) =
assert (p ==> q \/ p)
by (let bp = implies_intro () in
right ();
hyp (binding_to_namedv bp);
qed ())
(* `cases_or` instead destroys a disjunction `p \/ q`, and splits the
`phi` goal into `p ==> phi` and `q ==> phi`. *)
let ex7 (p q : prop) =
assert (p \/ q ==> q \/ p)
by (let bp_or_q = implies_intro () in
cases_or (binding_to_term bp_or_q);
(* first case *)
let bp = implies_intro () in
right ();
hyp (binding_to_namedv bp);
(* second case *)
let bq = implies_intro () in
left ();
hyp (binding_to_namedv bq);
qed ())
(* To use an implication, we can use the `mapply` tactic. This tactic
takes a `term` argument, so we need to cast the `binder` to a `term` via
`binder_to_term`. *)
let ex8 (p q : prop) =
assert ((p ==> q) ==> p ==> q)
by (let i = implies_intro () in
let h = implies_intro () in
mapply i;
mapply h;
qed ())
(* `forall_intro` will turn a goal of the shape `forall (x:t). phi` into
`phi`, while adding a variable `x` (of type `t`) to the context and
returning a binder for it. *)
let ex9 (p : prop) =
assert (p ==> (forall (_x:int). p))
by (let bp = implies_intro () in
let _bx = forall_intro () in
hyp (binding_to_namedv bp);
qed ())
(* `instantiate` will instantiate a forall with some particular term
and add the new hypothesis to the context. The `witness` tactic solves
an existential goal with the explicit witness, but requires a proof of
the property. Here we use zero as the witness, via a static quotation
(`0) (more about quotations on a next chapter). *)
let ex10 (p : int -> prop) =
assert ((forall x. p x) ==> (exists x. p x))
by (let bf = implies_intro () in
witness (`0);
let bp0 = instantiate (binding_to_term bf) (`0) in
hyp (binding_to_namedv bp0))
(* Exercises: do these proofs constructively, and make sure to end with
a `qed ()` to check that the SMT solver is not used. *)
let ex11 (p q : nat -> prop) =
assert ((forall x. p x) ==> (forall x. p x \/ q x))
by (smt ())
let ex12 (p q : nat -> prop) =
assert ((forall x. p x /\ q x) ==> (forall x. p x))
by (smt ())
let ex13 (p q : nat -> prop) =
assert ((forall x. p x /\ q x) ==> (exists x. p x \/ q x))
by (tadmit ()) // SMT is bad with existentials, just admit | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Tactics.Effect.fsti.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": false,
"source_file": "ConstructiveLogic.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"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 | a: Type -> p: (_: a -> Prims.prop) -> q: (_: a -> Prims.prop) -> Prims.unit | Prims.Tot | [
"total"
] | [] | [
"Prims.prop",
"FStar.Tactics.Effect.assert_by_tactic",
"Prims.l_imp",
"Prims.l_Forall",
"Prims.unit",
"FStar.Tactics.V2.Derived.smt"
] | [] | false | false | false | true | false | let ex14 (a: Type) (p q: (a -> prop)) =
| FStar.Tactics.Effect.assert_by_tactic ((forall x. p x ==> q x) ==>
(forall x. p x) ==> (forall x. q x))
(fun _ ->
();
(smt ())) | false |
|
Vale.X64.InsAes.fst | Vale.X64.InsAes.va_lemma_AESNI_imc | val va_lemma_AESNI_imc : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm -> src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_imc dst src) va_s0 /\ va_is_dst_xmm dst va_s0 /\
va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.AES.AES_s.inv_mix_columns_LE (va_eval_xmm va_s0 src) /\
va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM
va_s0))))) | val va_lemma_AESNI_imc : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm -> src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_imc dst src) va_s0 /\ va_is_dst_xmm dst va_s0 /\
va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.AES.AES_s.inv_mix_columns_LE (va_eval_xmm va_s0 src) /\
va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM
va_s0))))) | let va_lemma_AESNI_imc va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_imc) (va_code_AESNI_imc dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_imc) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_imc) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM) | {
"file_name": "obj/Vale.X64.InsAes.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 368,
"start_col": 0,
"start_line": 362
} | module Vale.X64.InsAes
open Vale.Def.Types_s
open Vale.X64.Machine_s
open Vale.X64
open Vale.X64.State
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.Decls
open Vale.X64.CPU_Features_s
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
module P = Vale.X64.Print_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 4 --max_fuel 4 --z3rlimit 20"
//-- Pclmulqdq
[@ "opaque_to_smt"]
let va_code_Pclmulqdq dst src dstHi srcHi =
(mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16 else 0)))
(OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_Pclmulqdq dst src dstHi srcHi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Pclmulqdq va_b0 va_s0 dst src dstHi srcHi =
va_reveal_opaque (`%va_code_Pclmulqdq) (va_code_Pclmulqdq dst src dstHi srcHi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16
else 0))) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) +
(if srcHi then 16 else 0))) (OReg dst) (OReg src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Pclmulqdq dst src dstHi srcHi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Pclmulqdq (va_code_Pclmulqdq dst src dstHi srcHi) va_s0 dst src
dstHi srcHi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VPclmulqdq
[@ "opaque_to_smt"]
let va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then 16 else 0)))
(OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VPclmulqdq va_b0 va_s0 dst src1 src2 src1Hi src2Hi =
va_reveal_opaque (`%va_code_VPclmulqdq) (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then
16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0)
+ (if src2Hi then 16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VPclmulqdq dst src1 src2 src1Hi src2Hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VPclmulqdq (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi) va_s0
dst src1 src2 src1Hi src2Hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc
[@ "opaque_to_smt"]
let va_code_AESNI_enc dst src =
(mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc) (va_code_AESNI_enc dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc (va_code_AESNI_enc dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc
[@ "opaque_to_smt"]
let va_code_VAESNI_enc dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc) (va_code_VAESNI_enc dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1)
(OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc (va_code_VAESNI_enc dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc_last
[@ "opaque_to_smt"]
let va_code_AESNI_enc_last dst src =
(mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc_last dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc_last va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc_last) (va_code_AESNI_enc_last dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg
src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc_last dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc_last (va_code_AESNI_enc_last dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc_last
[@ "opaque_to_smt"]
let va_code_VAESNI_enc_last dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc_last dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc_last va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc_last) (va_code_VAESNI_enc_last dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2)))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg
src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc_last dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc_last (va_code_VAESNI_enc_last dst src1 src2) va_s0 dst
src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_dec
val va_code_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code
[@ "opaque_to_smt"]
let va_code_AESNI_dec dst src =
(mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src)))
val va_codegen_success_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_dec dst src =
(va_ttrue ())
val va_lemma_AESNI_dec : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm -> src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_dec dst src) va_s0 /\ va_is_dst_xmm dst va_s0 /\
va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_s.inv_mix_columns_LE
(Vale.AES.AES_common_s.inv_sub_bytes (Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0
dst)))) (va_eval_xmm va_s0 src) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM
(va_update_operand_xmm dst va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_AESNI_dec va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_dec) (va_code_AESNI_dec dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_dec (dst:va_operand_xmm) (src:va_operand_xmm) (va_s0:va_state) (va_k:(va_state ->
unit -> Type0)) : Type0 =
(va_is_dst_xmm dst va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled /\
(forall (va_x_dst:va_value_xmm) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl
(va_upd_operand_xmm dst va_x_dst va_s0) in va_get_ok va_sM /\ va_eval_xmm va_sM dst ==
Vale.Def.Types_s.quad32_xor (Vale.AES.AES_s.inv_mix_columns_LE
(Vale.AES.AES_common_s.inv_sub_bytes (Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0
dst)))) (va_eval_xmm va_s0 src) ==> va_k va_sM (())))
val va_wpProof_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_dec dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_dec dst src) ([va_Mod_flags;
va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_dec dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_dec (va_code_AESNI_dec dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AESNI_dec (dst:va_operand_xmm) (src:va_operand_xmm) : (va_quickCode unit
(va_code_AESNI_dec dst src)) =
(va_QProc (va_code_AESNI_dec dst src) ([va_Mod_flags; va_mod_xmm dst]) (va_wp_AESNI_dec dst src)
(va_wpProof_AESNI_dec dst src))
//--
//-- AESNI_dec_last
val va_code_AESNI_dec_last : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code
[@ "opaque_to_smt"]
let va_code_AESNI_dec_last dst src =
(mk_ins (make_instr (I.ins_AESNI_dec_last) (OReg dst) (OReg src)))
val va_codegen_success_AESNI_dec_last : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_dec_last dst src =
(va_ttrue ())
val va_lemma_AESNI_dec_last : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm ->
src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_dec_last dst src) va_s0 /\ va_is_dst_xmm dst
va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_common_s.inv_sub_bytes
(Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0 dst))) (va_eval_xmm va_s0 src) /\
va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM
va_s0)))))
[@"opaque_to_smt"]
let va_lemma_AESNI_dec_last va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_dec_last) (va_code_AESNI_dec_last dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_dec_last) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_dec_last) (OReg dst) (OReg
src))) va_s0 in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_dec_last (dst:va_operand_xmm) (src:va_operand_xmm) (va_s0:va_state) (va_k:(va_state
-> unit -> Type0)) : Type0 =
(va_is_dst_xmm dst va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled /\
(forall (va_x_dst:va_value_xmm) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl
(va_upd_operand_xmm dst va_x_dst va_s0) in va_get_ok va_sM /\ va_eval_xmm va_sM dst ==
Vale.Def.Types_s.quad32_xor (Vale.AES.AES_common_s.inv_sub_bytes
(Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0 dst))) (va_eval_xmm va_s0 src) ==> va_k
va_sM (())))
val va_wpProof_AESNI_dec_last : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_dec_last dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_dec_last dst src)
([va_Mod_flags; va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_dec_last dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_dec_last (va_code_AESNI_dec_last dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AESNI_dec_last (dst:va_operand_xmm) (src:va_operand_xmm) : (va_quickCode unit
(va_code_AESNI_dec_last dst src)) =
(va_QProc (va_code_AESNI_dec_last dst src) ([va_Mod_flags; va_mod_xmm dst]) (va_wp_AESNI_dec_last
dst src) (va_wpProof_AESNI_dec_last dst src))
//--
//-- AESNI_imc
val va_code_AESNI_imc : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code
[@ "opaque_to_smt"]
let va_code_AESNI_imc dst src =
(mk_ins (make_instr (I.ins_AESNI_imc) (OReg dst) (OReg src)))
val va_codegen_success_AESNI_imc : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_imc dst src =
(va_ttrue ())
val va_lemma_AESNI_imc : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm -> src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_imc dst src) va_s0 /\ va_is_dst_xmm dst va_s0 /\
va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.AES.AES_s.inv_mix_columns_LE (va_eval_xmm va_s0 src) /\
va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM
va_s0))))) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.State.fsti.checked",
"Vale.X64.Print_s.fst.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.AES.AES_s.fst.checked",
"Vale.AES.AES_common_s.fst.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsAes.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Print_s",
"short_module": "P"
},
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"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.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"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": 4,
"initial_ifuel": 0,
"max_fuel": 4,
"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 |
va_b0: Vale.X64.Decls.va_code ->
va_s0: Vale.X64.Decls.va_state ->
dst: Vale.X64.Decls.va_operand_xmm ->
src: Vale.X64.Decls.va_operand_xmm
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.Decls.va_operand_xmm",
"Vale.X64.State.vale_state",
"Vale.X64.Lemmas.fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.tuple2",
"Prims.nat",
"Vale.X64.Decls.va_eval_ins",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.out",
"Vale.X64.Instruction_s.opXmm",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_AESNI_imc",
"Vale.X64.Machine_s.OReg",
"Vale.X64.Machine_s.quad32",
"Vale.X64.Machine_s.reg_xmm",
"Prims.unit",
"Vale.X64.Decls.va_ins_lemma",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.InsAes.va_code_AESNI_imc"
] | [] | false | false | false | false | false | let va_lemma_AESNI_imc va_b0 va_s0 dst src =
| va_reveal_opaque (`%va_code_AESNI_imc) (va_code_AESNI_imc dst src);
let va_old_s:va_state = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_imc) (OReg dst) (OReg src))) va_s0;
let va_sM, va_fM =
va_eval_ins (mk_ins (make_instr (I.ins_AESNI_imc) (OReg dst) (OReg src))) va_s0
in
(va_sM, va_fM) | false |
ConstructiveLogic.fst | ConstructiveLogic.ex12 | val ex12 : p: (_: Prims.nat -> Prims.prop) -> q: (_: Prims.nat -> Prims.prop) -> Prims.unit | let ex12 (p q : nat -> prop) =
assert ((forall x. p x /\ q x) ==> (forall x. p x))
by (smt ()) | {
"file_name": "examples/tactics/eci19/ConstructiveLogic.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 17,
"end_line": 195,
"start_col": 0,
"start_line": 193
} | module ConstructiveLogic
open FStar.Tactics.V2
(*
As you probably know by now, verification in F* works by first computing
verification conditions for terms, and then discharging them via the SMT
solver (when they are not trivial).
When a program fails to verify, the user can take one of many paths.
Firstly, one can increase the time limit of the SMT solver, or change
its configuration in the hope that the proof will go through. More
commonly, however, the programmer needs to give the SMT solver some
help in the form of new facts that it can use. We've seen examples of
this when we call lemmas within a function body in order to make it
verify. For instance, compare the following two examples (the first of
which fails).
*)
[@expect_failure]
let modulo_add_fail (p:pos) (a b c : int)
: Lemma (requires (b % p == c % p)) (ensures ((a + b) % p == (a + c) % p))
= ()
let modulo_add (p:pos) (a b c : int)
: Lemma (requires (b % p == c % p)) (ensures ((a + b) % p == (a + c) % p))
= FStar.Math.Lemmas.modulo_distributivity a b p;
FStar.Math.Lemmas.modulo_distributivity a c p
(*
This style of proving has two serious disadvantages. First, the goal
and set of hypotheses and not visible to the user, so proving usually
involves some trial and error. Second, there is no automation: the user
is responsible for writing all intermediate assertions and lemma calls,
which also clutter the proof/program.
With tactics, we can do better. We can inspect the "proof state",
i.e. the hypotheses we have and goal we have to solve, and implement
automated proof procedures. We can use tactics to do non-trivial proofs
without the SMT solver, or to simply give it some help when that's more
convenient. In this file we will mostly focus on the first alternative.
To get our feet wet, we will start with some simple examples of logical
propositions. The SMT is very good at this, but we will not use it at
all in the following examples.
Let us prove that implication is reflexive. We will use some tactics
from the `FStar.Tactics.Logic` module, in order to introduce the
implication and use the hypothesis.
When the goal is an implication, `implies_intro` will introduce the
implication and return a `binder` which represents the variable that was
pushed into the context. In the example, we use this `binder` to solve
the goal via `hyp`.
*)
let ex1 (p : prop) =
assert (p ==> p)
by (let b = implies_intro () in
hyp (binding_to_namedv b))
(*
The `qed` tactic checks that there are no more open goals when called,
or fails. We can use it here to check that we have fully solved the
assertion via tactics.
*)
(* This would fail with: (Error) user tactic failed: qed: not done! *)
//let _ =
// assert True
// by (qed ())
let ex1_qed (p : prop) =
assert (p ==> p)
by (let b = implies_intro () in
hyp (binding_to_namedv b);
qed ())
(* Exercise: add intermediate `dump` calls to see how the proofstate evolves *)
(* The following examples are somewhat similar, try to follow them by looking
at the proof states. *)
let ex2 (p q : prop) =
assert (p ==> q ==> p)
by (let bp = implies_intro () in
let _ = implies_intro () in
hyp (binding_to_namedv bp);
qed ())
(*
We need some more interesting tactics in order to handle more kinds
of formulae, we now go over a few of them.
*)
(*
The `split` tactic will turn a goal that is a conjunction into separate
goals for each conjunct, which we can then solve independently.
*)
let ex3 (p q : prop) =
assert (p ==> q ==> q /\ p)
by (let bp = implies_intro () in
let bq = implies_intro () in
split ();
(* Now we have two goals: q and p *)
hyp (binding_to_namedv bq);
(* Only one goal left, p *)
hyp (binding_to_namedv bp);
(* Done! *)
qed ())
(* `destruct_and` can be used to destruct a conjunction and get hypotheses
for each conjunct. *)
let ex4 (p q : prop) =
assert (p /\ q ==> p)
by (let h = implies_intro () in
let (bp, bq) = destruct_and (binding_to_term h) in
hyp (binding_to_namedv bp);
qed ())
(* The `left` and `right` tactics solve a disjunction by reducing
it to the left or right disjunct accordingly. *)
let ex5 (p q : prop) =
assert (p ==> p \/ q)
by (let bp = implies_intro () in
left ();
hyp (binding_to_namedv bp);
qed ())
let ex6 (p q : prop) =
assert (p ==> q \/ p)
by (let bp = implies_intro () in
right ();
hyp (binding_to_namedv bp);
qed ())
(* `cases_or` instead destroys a disjunction `p \/ q`, and splits the
`phi` goal into `p ==> phi` and `q ==> phi`. *)
let ex7 (p q : prop) =
assert (p \/ q ==> q \/ p)
by (let bp_or_q = implies_intro () in
cases_or (binding_to_term bp_or_q);
(* first case *)
let bp = implies_intro () in
right ();
hyp (binding_to_namedv bp);
(* second case *)
let bq = implies_intro () in
left ();
hyp (binding_to_namedv bq);
qed ())
(* To use an implication, we can use the `mapply` tactic. This tactic
takes a `term` argument, so we need to cast the `binder` to a `term` via
`binder_to_term`. *)
let ex8 (p q : prop) =
assert ((p ==> q) ==> p ==> q)
by (let i = implies_intro () in
let h = implies_intro () in
mapply i;
mapply h;
qed ())
(* `forall_intro` will turn a goal of the shape `forall (x:t). phi` into
`phi`, while adding a variable `x` (of type `t`) to the context and
returning a binder for it. *)
let ex9 (p : prop) =
assert (p ==> (forall (_x:int). p))
by (let bp = implies_intro () in
let _bx = forall_intro () in
hyp (binding_to_namedv bp);
qed ())
(* `instantiate` will instantiate a forall with some particular term
and add the new hypothesis to the context. The `witness` tactic solves
an existential goal with the explicit witness, but requires a proof of
the property. Here we use zero as the witness, via a static quotation
(`0) (more about quotations on a next chapter). *)
let ex10 (p : int -> prop) =
assert ((forall x. p x) ==> (exists x. p x))
by (let bf = implies_intro () in
witness (`0);
let bp0 = instantiate (binding_to_term bf) (`0) in
hyp (binding_to_namedv bp0))
(* Exercises: do these proofs constructively, and make sure to end with
a `qed ()` to check that the SMT solver is not used. *)
let ex11 (p q : nat -> prop) =
assert ((forall x. p x) ==> (forall x. p x \/ q x))
by (smt ()) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Tactics.Effect.fsti.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Math.Lemmas.fst.checked"
],
"interface_file": false,
"source_file": "ConstructiveLogic.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"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 | p: (_: Prims.nat -> Prims.prop) -> q: (_: Prims.nat -> Prims.prop) -> Prims.unit | Prims.Tot | [
"total"
] | [] | [
"Prims.nat",
"Prims.prop",
"FStar.Tactics.Effect.assert_by_tactic",
"Prims.l_imp",
"Prims.l_Forall",
"Prims.l_and",
"Prims.unit",
"FStar.Tactics.V2.Derived.smt"
] | [] | false | false | false | true | false | let ex12 (p q: (nat -> prop)) =
| FStar.Tactics.Effect.assert_by_tactic ((forall x. p x /\ q x) ==> (forall x. p x))
(fun _ ->
();
(smt ())) | false |
|
Vale.X64.InsAes.fst | Vale.X64.InsAes.va_wpProof_AESNI_keygen_assist | val va_wpProof_AESNI_keygen_assist : dst:va_operand_xmm -> src:va_operand_xmm -> imm:nat8 ->
va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_keygen_assist dst src imm va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_keygen_assist dst src imm)
([va_Mod_flags; va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) | val va_wpProof_AESNI_keygen_assist : dst:va_operand_xmm -> src:va_operand_xmm -> imm:nat8 ->
va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_keygen_assist dst src imm va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_keygen_assist dst src imm)
([va_Mod_flags; va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) | let va_wpProof_AESNI_keygen_assist dst src imm va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_keygen_assist (va_code_AESNI_keygen_assist dst src imm) va_s0
dst src imm in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.X64.InsAes.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 430,
"start_col": 0,
"start_line": 422
} | module Vale.X64.InsAes
open Vale.Def.Types_s
open Vale.X64.Machine_s
open Vale.X64
open Vale.X64.State
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.Decls
open Vale.X64.CPU_Features_s
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
module P = Vale.X64.Print_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 4 --max_fuel 4 --z3rlimit 20"
//-- Pclmulqdq
[@ "opaque_to_smt"]
let va_code_Pclmulqdq dst src dstHi srcHi =
(mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16 else 0)))
(OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_Pclmulqdq dst src dstHi srcHi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Pclmulqdq va_b0 va_s0 dst src dstHi srcHi =
va_reveal_opaque (`%va_code_Pclmulqdq) (va_code_Pclmulqdq dst src dstHi srcHi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16
else 0))) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) +
(if srcHi then 16 else 0))) (OReg dst) (OReg src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Pclmulqdq dst src dstHi srcHi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Pclmulqdq (va_code_Pclmulqdq dst src dstHi srcHi) va_s0 dst src
dstHi srcHi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VPclmulqdq
[@ "opaque_to_smt"]
let va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then 16 else 0)))
(OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VPclmulqdq va_b0 va_s0 dst src1 src2 src1Hi src2Hi =
va_reveal_opaque (`%va_code_VPclmulqdq) (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then
16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0)
+ (if src2Hi then 16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VPclmulqdq dst src1 src2 src1Hi src2Hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VPclmulqdq (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi) va_s0
dst src1 src2 src1Hi src2Hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc
[@ "opaque_to_smt"]
let va_code_AESNI_enc dst src =
(mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc) (va_code_AESNI_enc dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc (va_code_AESNI_enc dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc
[@ "opaque_to_smt"]
let va_code_VAESNI_enc dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc) (va_code_VAESNI_enc dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1)
(OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc (va_code_VAESNI_enc dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc_last
[@ "opaque_to_smt"]
let va_code_AESNI_enc_last dst src =
(mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc_last dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc_last va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc_last) (va_code_AESNI_enc_last dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg
src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc_last dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc_last (va_code_AESNI_enc_last dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc_last
[@ "opaque_to_smt"]
let va_code_VAESNI_enc_last dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc_last dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc_last va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc_last) (va_code_VAESNI_enc_last dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2)))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg
src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc_last dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc_last (va_code_VAESNI_enc_last dst src1 src2) va_s0 dst
src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_dec
val va_code_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code
[@ "opaque_to_smt"]
let va_code_AESNI_dec dst src =
(mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src)))
val va_codegen_success_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_dec dst src =
(va_ttrue ())
val va_lemma_AESNI_dec : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm -> src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_dec dst src) va_s0 /\ va_is_dst_xmm dst va_s0 /\
va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_s.inv_mix_columns_LE
(Vale.AES.AES_common_s.inv_sub_bytes (Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0
dst)))) (va_eval_xmm va_s0 src) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM
(va_update_operand_xmm dst va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_AESNI_dec va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_dec) (va_code_AESNI_dec dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_dec (dst:va_operand_xmm) (src:va_operand_xmm) (va_s0:va_state) (va_k:(va_state ->
unit -> Type0)) : Type0 =
(va_is_dst_xmm dst va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled /\
(forall (va_x_dst:va_value_xmm) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl
(va_upd_operand_xmm dst va_x_dst va_s0) in va_get_ok va_sM /\ va_eval_xmm va_sM dst ==
Vale.Def.Types_s.quad32_xor (Vale.AES.AES_s.inv_mix_columns_LE
(Vale.AES.AES_common_s.inv_sub_bytes (Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0
dst)))) (va_eval_xmm va_s0 src) ==> va_k va_sM (())))
val va_wpProof_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_dec dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_dec dst src) ([va_Mod_flags;
va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_dec dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_dec (va_code_AESNI_dec dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AESNI_dec (dst:va_operand_xmm) (src:va_operand_xmm) : (va_quickCode unit
(va_code_AESNI_dec dst src)) =
(va_QProc (va_code_AESNI_dec dst src) ([va_Mod_flags; va_mod_xmm dst]) (va_wp_AESNI_dec dst src)
(va_wpProof_AESNI_dec dst src))
//--
//-- AESNI_dec_last
val va_code_AESNI_dec_last : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code
[@ "opaque_to_smt"]
let va_code_AESNI_dec_last dst src =
(mk_ins (make_instr (I.ins_AESNI_dec_last) (OReg dst) (OReg src)))
val va_codegen_success_AESNI_dec_last : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_dec_last dst src =
(va_ttrue ())
val va_lemma_AESNI_dec_last : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm ->
src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_dec_last dst src) va_s0 /\ va_is_dst_xmm dst
va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_common_s.inv_sub_bytes
(Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0 dst))) (va_eval_xmm va_s0 src) /\
va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM
va_s0)))))
[@"opaque_to_smt"]
let va_lemma_AESNI_dec_last va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_dec_last) (va_code_AESNI_dec_last dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_dec_last) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_dec_last) (OReg dst) (OReg
src))) va_s0 in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_dec_last (dst:va_operand_xmm) (src:va_operand_xmm) (va_s0:va_state) (va_k:(va_state
-> unit -> Type0)) : Type0 =
(va_is_dst_xmm dst va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled /\
(forall (va_x_dst:va_value_xmm) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl
(va_upd_operand_xmm dst va_x_dst va_s0) in va_get_ok va_sM /\ va_eval_xmm va_sM dst ==
Vale.Def.Types_s.quad32_xor (Vale.AES.AES_common_s.inv_sub_bytes
(Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0 dst))) (va_eval_xmm va_s0 src) ==> va_k
va_sM (())))
val va_wpProof_AESNI_dec_last : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_dec_last dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_dec_last dst src)
([va_Mod_flags; va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_dec_last dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_dec_last (va_code_AESNI_dec_last dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AESNI_dec_last (dst:va_operand_xmm) (src:va_operand_xmm) : (va_quickCode unit
(va_code_AESNI_dec_last dst src)) =
(va_QProc (va_code_AESNI_dec_last dst src) ([va_Mod_flags; va_mod_xmm dst]) (va_wp_AESNI_dec_last
dst src) (va_wpProof_AESNI_dec_last dst src))
//--
//-- AESNI_imc
val va_code_AESNI_imc : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code
[@ "opaque_to_smt"]
let va_code_AESNI_imc dst src =
(mk_ins (make_instr (I.ins_AESNI_imc) (OReg dst) (OReg src)))
val va_codegen_success_AESNI_imc : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_imc dst src =
(va_ttrue ())
val va_lemma_AESNI_imc : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm -> src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_imc dst src) va_s0 /\ va_is_dst_xmm dst va_s0 /\
va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.AES.AES_s.inv_mix_columns_LE (va_eval_xmm va_s0 src) /\
va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM
va_s0)))))
[@"opaque_to_smt"]
let va_lemma_AESNI_imc va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_imc) (va_code_AESNI_imc dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_imc) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_imc) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_imc (dst:va_operand_xmm) (src:va_operand_xmm) (va_s0:va_state) (va_k:(va_state ->
unit -> Type0)) : Type0 =
(va_is_dst_xmm dst va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled /\
(forall (va_x_dst:va_value_xmm) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl
(va_upd_operand_xmm dst va_x_dst va_s0) in va_get_ok va_sM /\ va_eval_xmm va_sM dst ==
Vale.AES.AES_s.inv_mix_columns_LE (va_eval_xmm va_s0 src) ==> va_k va_sM (())))
val va_wpProof_AESNI_imc : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_imc dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_imc dst src) ([va_Mod_flags;
va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_imc dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_imc (va_code_AESNI_imc dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AESNI_imc (dst:va_operand_xmm) (src:va_operand_xmm) : (va_quickCode unit
(va_code_AESNI_imc dst src)) =
(va_QProc (va_code_AESNI_imc dst src) ([va_Mod_flags; va_mod_xmm dst]) (va_wp_AESNI_imc dst src)
(va_wpProof_AESNI_imc dst src))
//--
//-- AESNI_keygen_assist
[@ "opaque_to_smt"]
let va_code_AESNI_keygen_assist dst src imm =
(mk_ins (make_instr (I.ins_AESNI_keygen_assist imm) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_keygen_assist dst src imm =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_keygen_assist va_b0 va_s0 dst src imm =
va_reveal_opaque (`%va_code_AESNI_keygen_assist) (va_code_AESNI_keygen_assist dst src imm);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_keygen_assist imm) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_keygen_assist imm) (OReg dst)
(OReg src))) va_s0 in
(va_sM, va_fM) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.State.fsti.checked",
"Vale.X64.Print_s.fst.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.AES.AES_s.fst.checked",
"Vale.AES.AES_common_s.fst.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsAes.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Print_s",
"short_module": "P"
},
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"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.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"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": 4,
"initial_ifuel": 0,
"max_fuel": 4,
"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 |
dst: Vale.X64.Decls.va_operand_xmm ->
src: Vale.X64.Decls.va_operand_xmm ->
imm: Vale.Def.Types_s.nat8 ->
va_s0: Vale.X64.Decls.va_state ->
va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_operand_xmm",
"Vale.Def.Types_s.nat8",
"Vale.X64.Decls.va_state",
"Prims.unit",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.X64.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.X64.QuickCode.mod_t",
"Vale.X64.QuickCode.va_Mod_flags",
"Vale.X64.QuickCode.va_mod_xmm",
"Prims.Nil",
"Prims._assert",
"Vale.X64.Decls.va_state_eq",
"Vale.X64.Decls.va_update_flags",
"Vale.X64.Decls.va_update_ok",
"Vale.X64.Decls.va_update_operand_xmm",
"Vale.X64.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.X64.State.vale_state",
"Vale.X64.InsAes.va_lemma_AESNI_keygen_assist",
"Vale.X64.InsAes.va_code_AESNI_keygen_assist"
] | [] | false | false | false | false | false | let va_wpProof_AESNI_keygen_assist dst src imm va_s0 va_k =
| let va_sM, va_f0 =
va_lemma_AESNI_keygen_assist (va_code_AESNI_keygen_assist dst src imm) va_s0 dst src imm
in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM
(va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | false |
Vale.AES.X64.AESGCM.fst | Vale.AES.X64.AESGCM.va_qcode_AES_GCM_decrypt_6mult | val va_qcode_AES_GCM_decrypt_6mult
(va_mods: va_mods_t)
(alg: algorithm)
(h_LE: quad32)
(iv_b in_b out_b scratch_b: buffer128)
(key_words: (seq nat32))
(round_keys: (seq quad32))
(keys_b hkeys_b: buffer128)
: (va_quickCode unit (va_code_AES_GCM_decrypt_6mult alg)) | val va_qcode_AES_GCM_decrypt_6mult
(va_mods: va_mods_t)
(alg: algorithm)
(h_LE: quad32)
(iv_b in_b out_b scratch_b: buffer128)
(key_words: (seq nat32))
(round_keys: (seq quad32))
(keys_b hkeys_b: buffer128)
: (va_quickCode unit (va_code_AES_GCM_decrypt_6mult alg)) | let va_qcode_AES_GCM_decrypt_6mult (va_mods:va_mods_t) (alg:algorithm) (h_LE:quad32)
(iv_b:buffer128) (in_b:buffer128) (out_b:buffer128) (scratch_b:buffer128) (key_words:(seq nat32))
(round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) : (va_quickCode unit
(va_code_AES_GCM_decrypt_6mult alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2445 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_qIf va_mods (Cmp_eq (va_op_cmp_reg64 rRdx) (va_const_cmp 0)) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2453 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2454 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 1) 32 Secret scratch_b 2) (fun (va_s:va_state) _ -> let
(va_arg71:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_old_s in let (va_arg70:(FStar.Seq.Base.seq
Vale.Def.Types_s.nat32)) = key_words in let (va_arg69:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b in let
(va_arg68:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) in_b in let (va_arg67:Vale.AES.AES_common_s.algorithm) = alg in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2455 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_partial_opaque_init va_arg67 va_arg68 va_arg69 va_arg70
va_arg71) (va_QEmpty (())))))) (qblock va_mods (fun (va_s:va_state) -> let
(plain_quads:(FStar.Seq.Base.seq Vale.X64.Decls.quad32)) = Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) in_b in let (y_orig:Vale.Def.Types_s.quad32) =
Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2461 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 8) 32 Secret scratch_b 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2462 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 128)) (fun (va_s:va_state) _ ->
let (ctr_BE:quad32) = va_get_xmm 1 va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2464 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Pextrq (va_op_dst_opr64_reg64 rRbx) (va_op_xmm_xmm 1) 0) (fun (va_s:va_state) _ ->
let (full_counter:nat64) = va_get_reg64 rRbx va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2466 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 255)) (fun (va_s:va_state) _ ->
let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in let
(va_arg88:Vale.Def.Types_s.nat64) = full_counter in let (va_arg87:Vale.Def.Types_s.quad32) =
va_get_xmm 1 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2467 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.lemma_counter_init va_arg87 va_arg88 va_arg89) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 2469 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2472 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdi) (va_const_opr64 96))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2475 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 8) (va_op_reg_opr64_reg64
rRbp) 32 Secret scratch_b 2) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2478 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_DecryptPrelude in_b scratch_b) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2480 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Ctr32_ghash_6_prelude alg scratch_b key_words round_keys keys_b
(Vale.AES.GCTR_s.inc32 ctr_BE 0)) (fun (va_s:va_state) _ -> let (mid_len:nat64) = va_get_reg64
rRdx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2482 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_zero ()) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2483 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_zero va_arg86) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 2484 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s) == add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
scratch_b 1 (va_get_mem_heaplet 3 va_s)))) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 2485 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s)) ==
va_get_xmm 8 va_s) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2486 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x_loop_decrypt alg h_LE (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8
va_s)) (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s)) iv_b in_b in_b out_b
scratch_b key_words round_keys keys_b hkeys_b ctr_BE (Vale.AES.GCTR_s.inc32 ctr_BE 0)) (fun
(va_s:va_state) (y_new:quad32) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2488 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 1) 32 Secret scratch_b 2) (fun (va_s:va_state) _ -> let
(out_snapshot:(FStar.Seq.Base.seq Vale.X64.Decls.quad32)) = Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) out_b in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2492 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 9) (0 - 96) Secret out_b (va_get_reg64 rRdx va_old_s - 6 + 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 2493 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 10) (0 - 80) Secret out_b (va_get_reg64 rRdx va_old_s - 6 + 1)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 2494 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 11) (0 - 64) Secret out_b (va_get_reg64 rRdx va_old_s - 6 + 2)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 2495 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 12) (0 - 48) Secret out_b (va_get_reg64 rRdx va_old_s - 6 + 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 2496 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 13) (0 - 32) Secret out_b (va_get_reg64 rRdx va_old_s - 6 + 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 2497 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 14) (0 - 16) Secret out_b (va_get_reg64 rRdx va_old_s - 6 + 5)) (fun
(va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 2499 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(mid_len - 6 >= 0 /\ mid_len - 6 <= 4294967295) (fun _ -> let
(va_arg85:Vale.Def.Types_s.quad32) = ctr_BE in let (va_arg84:(FStar.Seq.Base.seq
Vale.Def.Types_s.nat32)) = key_words in let (va_arg83:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b in let
(va_arg82:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = out_snapshot in let
(va_arg81:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old_s) in_b in let (va_arg80:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old_s) in_b in let
(va_arg79:Vale.Def.Types_s.nat32) = mid_len - 6 in let
(va_arg78:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2499 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_partial_opaque_ignores_postfix va_arg78 va_arg79 va_arg80
va_arg81 va_arg82 va_arg83 va_arg84 va_arg85) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 2500 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(mid_len - 6 >= 0 /\ mid_len - 6 <= 4294967295) (fun _ -> let
(va_arg77:Vale.Def.Types_s.quad32) = ctr_BE in let (va_arg76:(FStar.Seq.Base.seq
Vale.Def.Types_s.nat32)) = key_words in let (va_arg75:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b in let
(va_arg74:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old_s) in_b in let (va_arg73:Prims.nat) = mid_len - 6 in let
(va_arg72:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2500 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_partial_extend6 va_arg72 va_arg73 va_arg74 va_arg75
va_arg76 va_arg77) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2505 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 128)) (va_QEmpty
(()))))))))))))))))))))))))))))))) (fun (va_s:va_state) va_g -> va_QEmpty (())))) | {
"file_name": "obj/Vale.AES.X64.AESGCM.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 85,
"end_line": 8040,
"start_col": 0,
"start_line": 7909
} | module Vale.AES.X64.AESGCM
open FStar.Mul
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.AES.AES_s
open Vale.X64.Machine_s
open Vale.X64.Memory
open Vale.X64.State
open Vale.X64.Decls
open Vale.X64.InsBasic
open Vale.X64.InsMem
open Vale.X64.InsVector
open Vale.X64.InsAes
open Vale.X64.QuickCode
open Vale.X64.QuickCodes
open Vale.Arch.Types
open Vale.AES.AES_helpers
//open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers
open Vale.AES.GCTR_s
open Vale.AES.GCTR
open Vale.Arch.TypesNative
open Vale.X64.CPU_Features_s
open Vale.AES.X64.PolyOps
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
open Vale.AES.X64.AESopt
open Vale.AES.X64.AESopt2
unfold let lo(x:poly):poly = mask x 64
unfold let hi(x:poly):poly = shift x (-64)
//let scratch_reqs (scratch_b:buffer128) (count:nat) (heap3:vale_heap) (s:seq quad32) (z3:quad32) : prop0 =
// count * 6 + 6 <= length s /\
// (let data = slice s (count * 6) (count * 6 + 6) in
// z3 == reverse_bytes_quad32 (index data 5) /\
// buffer128_read scratch_b 3 heap3 == reverse_bytes_quad32 (index data 4) /\
// buffer128_read scratch_b 4 heap3 == reverse_bytes_quad32 (index data 3) /\
// buffer128_read scratch_b 5 heap3 == reverse_bytes_quad32 (index data 2) /\
// buffer128_read scratch_b 6 heap3 == reverse_bytes_quad32 (index data 1) /\
// buffer128_read scratch_b 7 heap3 == reverse_bytes_quad32 (index data 0))
let scratch_reqs_simple (scratch_b:buffer128) (heap3:vale_heap) (data:seq quad32) (z3:quad32) : prop0 =
length data == 6 /\
z3 == reverse_bytes_quad32 (index data 5) /\
buffer128_read scratch_b 3 heap3 == reverse_bytes_quad32 (index data 4) /\
buffer128_read scratch_b 4 heap3 == reverse_bytes_quad32 (index data 3) /\
buffer128_read scratch_b 5 heap3 == reverse_bytes_quad32 (index data 2) /\
buffer128_read scratch_b 6 heap3 == reverse_bytes_quad32 (index data 1) /\
buffer128_read scratch_b 7 heap3 == reverse_bytes_quad32 (index data 0)
//-- finish_aes_encrypt_le
val finish_aes_encrypt_le : alg:algorithm -> input_LE:quad32 -> key:(seq nat32)
-> Lemma
(requires (Vale.AES.AES_s.is_aes_key_LE alg key))
(ensures (Vale.AES.AES_s.aes_encrypt_LE alg key input_LE == Vale.AES.AES_s.eval_cipher alg
input_LE (Vale.AES.AES_s.key_to_round_keys_LE alg key)))
let finish_aes_encrypt_le alg input_LE key =
Vale.AES.AES_s.aes_encrypt_LE_reveal ();
Vale.AES.AES_s.eval_cipher_reveal ();
()
//--
let va_subscript_FStar__Seq__Base__seq = Seq.index
#reset-options "--z3rlimit 30"
//-- Load_one_msb
val va_code_Load_one_msb : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Load_one_msb () =
(va_Block (va_CCons (va_code_ZeroXmm (va_op_xmm_xmm 2)) (va_CCons (va_code_PinsrqImm
(va_op_xmm_xmm 2) 72057594037927936 1 (va_op_reg_opr64_reg64 rR11)) (va_CNil ()))))
val va_codegen_success_Load_one_msb : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Load_one_msb () =
(va_pbool_and (va_codegen_success_ZeroXmm (va_op_xmm_xmm 2)) (va_pbool_and
(va_codegen_success_PinsrqImm (va_op_xmm_xmm 2) 72057594037927936 1 (va_op_reg_opr64_reg64
rR11)) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Load_one_msb (va_mods:va_mods_t) : (va_quickCode unit (va_code_Load_one_msb ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 145 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_ZeroXmm (va_op_xmm_xmm 2)) (fun (va_s:va_state) _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 146 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Arch.Types.two_to_nat32 (Vale.Def.Words_s.Mktwo #Vale.Def.Words_s.nat32 0 16777216) ==
72057594037927936) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 147 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_PinsrqImm (va_op_xmm_xmm 2) 72057594037927936 1 (va_op_reg_opr64_reg64 rR11)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.Def.Types_s.insert_nat64_reveal ()) (va_QEmpty (())))))))
val va_lemma_Load_one_msb : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Load_one_msb ()) va_s0 /\ va_get_ok va_s0 /\
sse_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
va_state_eq va_sM (va_update_flags va_sM (va_update_xmm 2 va_sM (va_update_reg64 rR11 va_sM
(va_update_ok va_sM va_s0))))))
[@"opaque_to_smt"]
let va_lemma_Load_one_msb va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_xmm 2; va_Mod_reg64 rR11; va_Mod_ok] in
let va_qc = va_qcode_Load_one_msb va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Load_one_msb ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 138 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 143 column 46 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 2; va_Mod_reg64 rR11; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Load_one_msb (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ sse_enabled /\ (forall (va_x_r11:nat64) (va_x_xmm2:quad32)
(va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_xmm 2 va_x_xmm2
(va_upd_reg64 rR11 va_x_r11 va_s0)) in va_get_ok va_sM /\ va_get_xmm 2 va_sM ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 ==> va_k va_sM (())))
val va_wpProof_Load_one_msb : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Load_one_msb va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Load_one_msb ()) ([va_Mod_flags;
va_Mod_xmm 2; va_Mod_reg64 rR11]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Load_one_msb va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Load_one_msb (va_code_Load_one_msb ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_xmm 2 va_sM (va_update_reg64 rR11
va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 2; va_Mod_reg64 rR11]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Load_one_msb () : (va_quickCode unit (va_code_Load_one_msb ())) =
(va_QProc (va_code_Load_one_msb ()) ([va_Mod_flags; va_Mod_xmm 2; va_Mod_reg64 rR11])
va_wp_Load_one_msb va_wpProof_Load_one_msb)
//--
//-- Ctr32_ghash_6_prelude
val va_code_Ctr32_ghash_6_prelude : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ctr32_ghash_6_prelude alg =
(va_Block (va_CCons (va_code_Load_one_msb ()) (va_CCons (va_code_VPxor (va_op_xmm_xmm 4)
(va_op_xmm_xmm 4) (va_op_opr128_xmm 4)) (va_CCons (va_code_Load128_buffer
(va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 15) (va_op_reg_opr64_reg64 rRcx) (0 - 128) Secret)
(va_CCons (va_code_VPaddd (va_op_xmm_xmm 10) (va_op_xmm_xmm 1) (va_op_xmm_xmm 2)) (va_CCons
(va_code_VPaddd (va_op_xmm_xmm 11) (va_op_xmm_xmm 10) (va_op_xmm_xmm 2)) (va_CCons
(va_code_VPaddd (va_op_xmm_xmm 12) (va_op_xmm_xmm 11) (va_op_xmm_xmm 2)) (va_CCons
(va_code_VPaddd (va_op_xmm_xmm 13) (va_op_xmm_xmm 12) (va_op_xmm_xmm 2)) (va_CCons
(va_code_VPaddd (va_op_xmm_xmm 14) (va_op_xmm_xmm 13) (va_op_xmm_xmm 2)) (va_CCons
(va_code_VPxor (va_op_xmm_xmm 9) (va_op_xmm_xmm 1) (va_op_opr128_xmm 15)) (va_CCons
(va_code_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 4) 16 Secret) (va_CNil ()))))))))))))
val va_codegen_success_Ctr32_ghash_6_prelude : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ctr32_ghash_6_prelude alg =
(va_pbool_and (va_codegen_success_Load_one_msb ()) (va_pbool_and (va_codegen_success_VPxor
(va_op_xmm_xmm 4) (va_op_xmm_xmm 4) (va_op_opr128_xmm 4)) (va_pbool_and
(va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 15)
(va_op_reg_opr64_reg64 rRcx) (0 - 128) Secret) (va_pbool_and (va_codegen_success_VPaddd
(va_op_xmm_xmm 10) (va_op_xmm_xmm 1) (va_op_xmm_xmm 2)) (va_pbool_and
(va_codegen_success_VPaddd (va_op_xmm_xmm 11) (va_op_xmm_xmm 10) (va_op_xmm_xmm 2))
(va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 12) (va_op_xmm_xmm 11) (va_op_xmm_xmm
2)) (va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 13) (va_op_xmm_xmm 12)
(va_op_xmm_xmm 2)) (va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 14) (va_op_xmm_xmm
13) (va_op_xmm_xmm 2)) (va_pbool_and (va_codegen_success_VPxor (va_op_xmm_xmm 9) (va_op_xmm_xmm
1) (va_op_opr128_xmm 15)) (va_pbool_and (va_codegen_success_Store128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 4) 16 Secret)
(va_ttrue ())))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ctr32_ghash_6_prelude (va_mods:va_mods_t) (alg:algorithm) (scratch_b:buffer128)
(key_words:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (ctr_orig:quad32) :
(va_quickCode unit (va_code_Ctr32_ghash_6_prelude alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 211 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load_one_msb ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 212 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 4) (va_op_xmm_xmm 4) (va_op_opr128_xmm 4)) (fun (va_s:va_state)
_ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.Arch.Types.lemma_quad32_xor ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 214 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 15)
(va_op_reg_opr64_reg64 rRcx) (0 - 128) Secret keys_b 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 215 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 10) (va_op_xmm_xmm 1) (va_op_xmm_xmm 2)) (fun (va_s:va_state) _
-> let (va_arg44:Vale.Def.Types_s.quad32) = va_get_xmm 10 va_s in let
(va_arg43:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_old_s in let
(va_arg42:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite ctr_orig 0 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.lemma_incr_msb va_arg42 va_arg43 va_arg44 1) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 216 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 11) (va_op_xmm_xmm 10) (va_op_xmm_xmm 2)) (fun (va_s:va_state)
_ -> let (va_arg41:Vale.Def.Types_s.quad32) = va_get_xmm 11 va_s in let
(va_arg40:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_old_s in let
(va_arg39:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite ctr_orig 0 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.lemma_incr_msb va_arg39 va_arg40 va_arg41 2) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 217 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 12) (va_op_xmm_xmm 11) (va_op_xmm_xmm 2)) (fun (va_s:va_state)
_ -> let (va_arg38:Vale.Def.Types_s.quad32) = va_get_xmm 12 va_s in let
(va_arg37:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_old_s in let
(va_arg36:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite ctr_orig 0 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 217 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.lemma_incr_msb va_arg36 va_arg37 va_arg38 3) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 218 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 13) (va_op_xmm_xmm 12) (va_op_xmm_xmm 2)) (fun (va_s:va_state)
_ -> let (va_arg35:Vale.Def.Types_s.quad32) = va_get_xmm 13 va_s in let
(va_arg34:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_old_s in let
(va_arg33:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite ctr_orig 0 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.lemma_incr_msb va_arg33 va_arg34 va_arg35 4) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 219 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 14) (va_op_xmm_xmm 13) (va_op_xmm_xmm 2)) (fun (va_s:va_state)
_ -> let (va_arg32:Vale.Def.Types_s.quad32) = va_get_xmm 14 va_s in let
(va_arg31:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_old_s in let
(va_arg30:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite ctr_orig 0 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 219 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.lemma_incr_msb va_arg30 va_arg31 va_arg32 5) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 220 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 9) (va_op_xmm_xmm 1) (va_op_opr128_xmm 15)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 221 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 4) 16 Secret scratch_b 1) (va_QEmpty (())))))))))))))))))))
val va_lemma_Ctr32_ghash_6_prelude : va_b0:va_code -> va_s0:va_state -> alg:algorithm ->
scratch_b:buffer128 -> key_words:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 ->
ctr_orig:quad32
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Ctr32_ghash_6_prelude alg) va_s0 /\ va_get_ok va_s0 /\
(sse_enabled /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp
va_s0) scratch_b 8 (va_get_mem_layout va_s0) Secret /\ aes_reqs_offset alg key_words round_keys
keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\
va_get_xmm 1 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig
0))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 1 /\ va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32
round_keys 0 /\ va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 0)) (va_get_xmm 15
va_sM) /\ (let counter = Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_orig `op_Modulus` 256
in (counter + 6 < 256 ==> va_get_xmm 10 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 1)) /\ (counter + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 2)) /\ (counter + 6 <
256 ==> va_get_xmm 12 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_orig 3)) /\ (counter + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 4)) /\ (counter + 6 <
256 ==> va_get_xmm 14 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_orig 5)) /\ Vale.X64.Decls.buffer128_read scratch_b 1 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0 /\ va_get_xmm 4 va_sM ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0)) /\ va_state_eq va_sM (va_update_flags
va_sM (va_update_mem_heaplet 3 va_sM (va_update_reg64 rR11 va_sM (va_update_xmm 15 va_sM
(va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM
(va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 4 va_sM (va_update_xmm 2 va_sM
(va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ctr32_ghash_6_prelude va_b0 va_s0 alg scratch_b key_words round_keys keys_b ctr_orig =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_reg64 rR11; va_Mod_xmm 15;
va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9;
va_Mod_xmm 4; va_Mod_xmm 2; va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_Ctr32_ghash_6_prelude va_mods alg scratch_b key_words round_keys keys_b
ctr_orig in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ctr32_ghash_6_prelude alg) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 151 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ (label va_range1
"***** POSTCONDITION NOT MET AT line 194 column 72 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 1) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 196 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 197 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 round_keys 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 199 column 83 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 0)) (va_get_xmm 15 va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(let counter = Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_orig `op_Modulus` 256 in label
va_range1
"***** POSTCONDITION NOT MET AT line 201 column 85 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(counter + 6 < 256 ==> va_get_xmm 10 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 85 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(counter + 6 < 256 ==> va_get_xmm 11 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 2)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 203 column 85 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(counter + 6 < 256 ==> va_get_xmm 12 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 3)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 204 column 85 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(counter + 6 < 256 ==> va_get_xmm 13 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 4)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 205 column 85 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(counter + 6 < 256 ==> va_get_xmm 14 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 5)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 207 column 66 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read scratch_b 1 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 208 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 4 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_reg64 rR11; va_Mod_xmm 15;
va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9;
va_Mod_xmm 4; va_Mod_xmm 2; va_Mod_ok; va_Mod_mem]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Ctr32_ghash_6_prelude (alg:algorithm) (scratch_b:buffer128) (key_words:(seq nat32))
(round_keys:(seq quad32)) (keys_b:buffer128) (ctr_orig:quad32) (va_s0:va_state) (va_k:(va_state
-> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0)
(va_get_reg64 rRbp va_s0) scratch_b 8 (va_get_mem_layout va_s0) Secret /\ aes_reqs_offset alg
key_words round_keys keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0)
(va_get_mem_layout va_s0) /\ va_get_xmm 1 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 0)) /\ (forall (va_x_mem:vale_heap) (va_x_xmm2:quad32)
(va_x_xmm4:quad32) (va_x_xmm9:quad32) (va_x_xmm10:quad32) (va_x_xmm11:quad32)
(va_x_xmm12:quad32) (va_x_xmm13:quad32) (va_x_xmm14:quad32) (va_x_xmm15:quad32)
(va_x_r11:nat64) (va_x_heap3:vale_heap) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags
va_x_efl (va_upd_mem_heaplet 3 va_x_heap3 (va_upd_reg64 rR11 va_x_r11 (va_upd_xmm 15 va_x_xmm15
(va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13 va_x_xmm13 (va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11
va_x_xmm11 (va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 9 va_x_xmm9 (va_upd_xmm 4 va_x_xmm4
(va_upd_xmm 2 va_x_xmm2 (va_upd_mem va_x_mem va_s0)))))))))))) in va_get_ok va_sM /\
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 1 /\ va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32
round_keys 0 /\ va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 0)) (va_get_xmm 15
va_sM) /\ (let counter = Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_orig `op_Modulus` 256
in (counter + 6 < 256 ==> va_get_xmm 10 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 1)) /\ (counter + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 2)) /\ (counter + 6 <
256 ==> va_get_xmm 12 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_orig 3)) /\ (counter + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 4)) /\ (counter + 6 <
256 ==> va_get_xmm 14 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_orig 5)) /\ Vale.X64.Decls.buffer128_read scratch_b 1 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0 /\ va_get_xmm 4 va_sM ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0)) ==> va_k va_sM (())))
val va_wpProof_Ctr32_ghash_6_prelude : alg:algorithm -> scratch_b:buffer128 -> key_words:(seq
nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> ctr_orig: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_Ctr32_ghash_6_prelude alg scratch_b key_words round_keys
keys_b ctr_orig va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ctr32_ghash_6_prelude alg)
([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_reg64 rR11; va_Mod_xmm 15; va_Mod_xmm 14;
va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 4;
va_Mod_xmm 2; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ctr32_ghash_6_prelude alg scratch_b key_words round_keys keys_b ctr_orig va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ctr32_ghash_6_prelude (va_code_Ctr32_ghash_6_prelude alg) va_s0 alg
scratch_b key_words round_keys keys_b ctr_orig in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 3 va_sM (va_update_reg64
rR11 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM
(va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 9 va_sM
(va_update_xmm 4 va_sM (va_update_xmm 2 va_sM (va_update_ok va_sM (va_update_mem va_sM
va_s0)))))))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_reg64 rR11; va_Mod_xmm 15;
va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9;
va_Mod_xmm 4; va_Mod_xmm 2; va_Mod_mem]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ctr32_ghash_6_prelude (alg:algorithm) (scratch_b:buffer128) (key_words:(seq nat32))
(round_keys:(seq quad32)) (keys_b:buffer128) (ctr_orig:quad32) : (va_quickCode unit
(va_code_Ctr32_ghash_6_prelude alg)) =
(va_QProc (va_code_Ctr32_ghash_6_prelude alg) ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_reg64
rR11; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10;
va_Mod_xmm 9; va_Mod_xmm 4; va_Mod_xmm 2; va_Mod_mem]) (va_wp_Ctr32_ghash_6_prelude alg
scratch_b key_words round_keys keys_b ctr_orig) (va_wpProof_Ctr32_ghash_6_prelude alg scratch_b
key_words round_keys keys_b ctr_orig))
//--
//-- Handle_ctr32_2
val va_code_Handle_ctr32_2 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Handle_ctr32_2 () =
(va_Block (va_CCons (va_code_VPshufb (va_op_xmm_xmm 6) (va_op_xmm_xmm 1) (va_op_xmm_xmm 0))
(va_CCons (va_code_Load_one_lsb (va_op_xmm_xmm 5)) (va_CCons (va_code_VPaddd (va_op_xmm_xmm 10)
(va_op_xmm_xmm 6) (va_op_xmm_xmm 5)) (va_CCons (va_code_Load_two_lsb (va_op_xmm_xmm 5))
(va_CCons (va_code_VPaddd (va_op_xmm_xmm 11) (va_op_xmm_xmm 6) (va_op_xmm_xmm 5)) (va_CCons
(va_code_VPaddd (va_op_xmm_xmm 12) (va_op_xmm_xmm 10) (va_op_xmm_xmm 5)) (va_CCons
(va_code_VPshufb (va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_xmm_xmm 0)) (va_CCons
(va_code_VPaddd (va_op_xmm_xmm 13) (va_op_xmm_xmm 11) (va_op_xmm_xmm 5)) (va_CCons
(va_code_VPshufb (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_xmm_xmm 0)) (va_CCons
(va_code_VPxor (va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_opr128_xmm 4)) (va_CCons
(va_code_VPaddd (va_op_xmm_xmm 14) (va_op_xmm_xmm 12) (va_op_xmm_xmm 5)) (va_CCons
(va_code_VPshufb (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_xmm_xmm 0)) (va_CCons
(va_code_VPxor (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_opr128_xmm 4)) (va_CCons
(va_code_VPaddd (va_op_xmm_xmm 1) (va_op_xmm_xmm 13) (va_op_xmm_xmm 5)) (va_CCons
(va_code_VPshufb (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_xmm_xmm 0)) (va_CCons
(va_code_VPxor (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_opr128_xmm 4)) (va_CCons
(va_code_VPshufb (va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_xmm_xmm 0)) (va_CCons
(va_code_VPxor (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_opr128_xmm 4)) (va_CCons
(va_code_VPshufb (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm 0)) (va_CCons
(va_code_VPxor (va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_opr128_xmm 4)) (va_CNil
()))))))))))))))))))))))
val va_codegen_success_Handle_ctr32_2 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Handle_ctr32_2 () =
(va_pbool_and (va_codegen_success_VPshufb (va_op_xmm_xmm 6) (va_op_xmm_xmm 1) (va_op_xmm_xmm 0))
(va_pbool_and (va_codegen_success_Load_one_lsb (va_op_xmm_xmm 5)) (va_pbool_and
(va_codegen_success_VPaddd (va_op_xmm_xmm 10) (va_op_xmm_xmm 6) (va_op_xmm_xmm 5))
(va_pbool_and (va_codegen_success_Load_two_lsb (va_op_xmm_xmm 5)) (va_pbool_and
(va_codegen_success_VPaddd (va_op_xmm_xmm 11) (va_op_xmm_xmm 6) (va_op_xmm_xmm 5))
(va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 12) (va_op_xmm_xmm 10) (va_op_xmm_xmm
5)) (va_pbool_and (va_codegen_success_VPshufb (va_op_xmm_xmm 10) (va_op_xmm_xmm 10)
(va_op_xmm_xmm 0)) (va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 13) (va_op_xmm_xmm
11) (va_op_xmm_xmm 5)) (va_pbool_and (va_codegen_success_VPshufb (va_op_xmm_xmm 11)
(va_op_xmm_xmm 11) (va_op_xmm_xmm 0)) (va_pbool_and (va_codegen_success_VPxor (va_op_xmm_xmm
10) (va_op_xmm_xmm 10) (va_op_opr128_xmm 4)) (va_pbool_and (va_codegen_success_VPaddd
(va_op_xmm_xmm 14) (va_op_xmm_xmm 12) (va_op_xmm_xmm 5)) (va_pbool_and
(va_codegen_success_VPshufb (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_xmm_xmm 0))
(va_pbool_and (va_codegen_success_VPxor (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_opr128_xmm
4)) (va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 1) (va_op_xmm_xmm 13)
(va_op_xmm_xmm 5)) (va_pbool_and (va_codegen_success_VPshufb (va_op_xmm_xmm 13) (va_op_xmm_xmm
13) (va_op_xmm_xmm 0)) (va_pbool_and (va_codegen_success_VPxor (va_op_xmm_xmm 12)
(va_op_xmm_xmm 12) (va_op_opr128_xmm 4)) (va_pbool_and (va_codegen_success_VPshufb
(va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_xmm_xmm 0)) (va_pbool_and
(va_codegen_success_VPxor (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_opr128_xmm 4))
(va_pbool_and (va_codegen_success_VPshufb (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm
0)) (va_pbool_and (va_codegen_success_VPxor (va_op_xmm_xmm 14) (va_op_xmm_xmm 14)
(va_op_opr128_xmm 4)) (va_ttrue ())))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Handle_ctr32_2 (va_mods:va_mods_t) (ctr_BE:quad32) : (va_quickCode unit
(va_code_Handle_ctr32_2 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 253 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 6) (va_op_xmm_xmm 1) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 258 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load_one_lsb (va_op_xmm_xmm 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 260 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 10) (va_op_xmm_xmm 6) (va_op_xmm_xmm 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 262 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load_two_lsb (va_op_xmm_xmm 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 263 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 11) (va_op_xmm_xmm 6) (va_op_xmm_xmm 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 265 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 12) (va_op_xmm_xmm 10) (va_op_xmm_xmm 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 266 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 267 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 13) (va_op_xmm_xmm 11) (va_op_xmm_xmm 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 268 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 269 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_opr128_xmm 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 14) (va_op_xmm_xmm 12) (va_op_xmm_xmm 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 271 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 272 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_opr128_xmm 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 273 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 1) (va_op_xmm_xmm 13) (va_op_xmm_xmm 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 274 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 275 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_opr128_xmm 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 276 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 277 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_opr128_xmm 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_opr128_xmm 4)) (va_QEmpty
(())))))))))))))))))))))))
val va_lemma_Handle_ctr32_2 : va_b0:va_code -> va_s0:va_state -> ctr_BE:quad32
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Handle_ctr32_2 ()) va_s0 /\ va_get_ok va_s0 /\
(avx_enabled /\ sse_enabled /\ va_get_xmm 0 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 ctr_BE)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(va_get_xmm 10 va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 1)) (va_get_xmm 4 va_sM) /\ va_get_xmm 11 va_sM ==
Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 2)) (va_get_xmm 4 va_sM) /\ va_get_xmm 12 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 3)) (va_get_xmm 4 va_sM)
/\ va_get_xmm 13 va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 4)) (va_get_xmm 4 va_sM) /\ va_get_xmm 14 va_sM ==
Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 5)) (va_get_xmm 4 va_sM) /\ va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 6)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_xmm
14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm
10 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1
va_sM (va_update_reg64 rR11 va_sM (va_update_ok va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Handle_ctr32_2 va_b0 va_s0 ctr_BE =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm
11; va_Mod_xmm 10; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_reg64 rR11;
va_Mod_ok] in
let va_qc = va_qcode_Handle_ctr32_2 va_mods ctr_BE in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Handle_ctr32_2 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ (label va_range1
"***** POSTCONDITION NOT MET AT line 246 column 77 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 10 va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 1)) (va_get_xmm 4 va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 247 column 77 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 11 va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 2)) (va_get_xmm 4 va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 248 column 77 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 12 va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 3)) (va_get_xmm 4 va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 249 column 77 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 13 va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 4)) (va_get_xmm 4 va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 250 column 77 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 14 va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 5)) (va_get_xmm 4 va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 251 column 72 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE
6)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11;
va_Mod_xmm 10; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_reg64 rR11;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Handle_ctr32_2 (ctr_BE:quad32) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ (avx_enabled /\ sse_enabled /\ va_get_xmm 0 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 ctr_BE) /\ (forall (va_x_r11:nat64) (va_x_xmm1:quad32)
(va_x_xmm2:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32) (va_x_xmm10:quad32)
(va_x_xmm11:quad32) (va_x_xmm12:quad32) (va_x_xmm13:quad32) (va_x_xmm14:quad32)
(va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_xmm 14 va_x_xmm14
(va_upd_xmm 13 va_x_xmm13 (va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10
va_x_xmm10 (va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 2 va_x_xmm2 (va_upd_xmm
1 va_x_xmm1 (va_upd_reg64 rR11 va_x_r11 va_s0)))))))))) in va_get_ok va_sM /\ (va_get_xmm 10
va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 1)) (va_get_xmm 4 va_sM) /\ va_get_xmm 11 va_sM ==
Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 2)) (va_get_xmm 4 va_sM) /\ va_get_xmm 12 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 3)) (va_get_xmm 4 va_sM)
/\ va_get_xmm 13 va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 4)) (va_get_xmm 4 va_sM) /\ va_get_xmm 14 va_sM ==
Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 5)) (va_get_xmm 4 va_sM) /\ va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 6)) ==> va_k va_sM (())))
val va_wpProof_Handle_ctr32_2 : ctr_BE: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_Handle_ctr32_2 ctr_BE va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Handle_ctr32_2 ()) ([va_Mod_flags;
va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 6;
va_Mod_xmm 5; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_reg64 rR11]) va_s0 va_k ((va_sM, va_f0,
va_g))))
[@"opaque_to_smt"]
let va_wpProof_Handle_ctr32_2 ctr_BE va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Handle_ctr32_2 (va_code_Handle_ctr32_2 ()) va_s0 ctr_BE in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM
(va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 6 va_sM
(va_update_xmm 5 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_reg64 rR11
va_sM (va_update_ok va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11;
va_Mod_xmm 10; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_reg64 rR11])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Handle_ctr32_2 (ctr_BE:quad32) : (va_quickCode unit (va_code_Handle_ctr32_2 ())) =
(va_QProc (va_code_Handle_ctr32_2 ()) ([va_Mod_flags; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm
12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 2; va_Mod_xmm 1;
va_Mod_reg64 rR11]) (va_wp_Handle_ctr32_2 ctr_BE) (va_wpProof_Handle_ctr32_2 ctr_BE))
//--
//-- Loop6x_decrypt
#push-options "--z3rlimit 300"
val va_code_Loop6x_decrypt : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Loop6x_decrypt alg =
(va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CCons (va_code_Loop6x_partial alg) (va_CCons (va_code_Loop6x_final alg)
(va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 6)) (va_CCons (va_IfElse
(va_cmp_gt (va_op_cmp_reg64 rRdx) (va_const_cmp 6)) (va_Block (va_CCons (va_code_Add64
(va_op_dst_opr64_reg64 rR14) (va_const_opr64 96)) (va_CNil ()))) (va_Block (va_CNil ())))
(va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_IfElse (va_cmp_gt
(va_op_cmp_reg64 rRdx) (va_const_cmp 0)) (va_Block (va_CCons (va_code_Loop6x_save_output ())
(va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 7)
(va_op_reg_opr64_reg64 rRbp) 32 Secret) (va_CCons (va_Block (va_CNil ())) (va_CNil ())))))
(va_Block (va_CCons (va_code_Mem128_lemma ()) (va_CCons (va_code_VPolyAdd (va_op_xmm_xmm 8)
(va_op_xmm_xmm 8) (va_opr_code_Mem128 (va_op_heaplet_mem_heaplet 3) (va_op_reg64_reg64 rRbp) 16
Secret)) (va_CCons (va_code_VPolyAdd (va_op_xmm_xmm 8) (va_op_xmm_xmm 8) (va_op_opr128_xmm 4))
(va_CNil ())))))) (va_CNil ()))))))))))))))
val va_codegen_success_Loop6x_decrypt : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Loop6x_decrypt alg =
(va_pbool_and (va_codegen_success_Loop6x_partial alg) (va_pbool_and
(va_codegen_success_Loop6x_final alg) (va_pbool_and (va_codegen_success_Sub64
(va_op_dst_opr64_reg64 rRdx) (va_const_opr64 6)) (va_pbool_and (va_codegen_success_Add64
(va_op_dst_opr64_reg64 rR14) (va_const_opr64 96)) (va_pbool_and (va_pbool_and
(va_codegen_success_Loop6x_save_output ()) (va_pbool_and (va_codegen_success_Load128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 7) (va_op_reg_opr64_reg64 rRbp) 32 Secret)
(va_pbool_and (va_codegen_success_Mem128_lemma ()) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_xmm_xmm 8) (va_op_xmm_xmm 8) (va_opr_code_Mem128 (va_op_heaplet_mem_heaplet 3)
(va_op_reg64_reg64 rRbp) 16 Secret)) (va_codegen_success_VPolyAdd (va_op_xmm_xmm 8)
(va_op_xmm_xmm 8) (va_op_opr128_xmm 4)))))) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Loop6x_decrypt (va_mods:va_mods_t) (alg:algorithm) (h_LE:quad32) (y_orig:quad32)
(y_prev:quad32) (count:nat) (iv_b:buffer128) (in0_b:buffer128) (in_b:buffer128) (out_b:buffer128)
(scratch_b:buffer128) (plain_quads:(seq quad32)) (key_words:(seq nat32)) (round_keys:(seq
quad32)) (keys_b:buffer128) (hkeys_b:buffer128) (ctr_BE_orig:quad32) (ctr_BE:quad32) :
(va_quickCode (quad32) (va_code_Loop6x_decrypt alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(prev:Vale.Math.Poly2_s.poly) = add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s))
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_s))) (Vale.Math.Poly2.Bits_s.of_quad32
(Vale.X64.Decls.buffer128_read scratch_b 1 (va_get_mem_heaplet 3 va_s))) in let
(y_prev:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 prev) in va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 449 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.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.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in0_b) (count
`op_Multiply` 6) (count `op_Multiply` 6 + 6)) (fun _ -> let (data:(FStar.Seq.Base.seq
Vale.X64.Decls.quad32)) = FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) in0_b) (count `op_Multiply` 6) (count `op_Multiply` 6 + 6) in
va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 450 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.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.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in_b) (count
`op_Multiply` 6) (count `op_Multiply` 6 + 6)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 450 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(FStar.Seq.Base.equal #Vale.X64.Decls.quad32 data (FStar.Seq.Base.slice #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in_b) (count `op_Multiply` 6) (count
`op_Multiply` 6 + 6))) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 451 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.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.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in_b) (count
`op_Multiply` 6) (count `op_Multiply` 6 + 6) /\ (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)))) quad32 plain_quads (count `op_Multiply` 6) (count
`op_Multiply` 6 + 6)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 451 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(FStar.Seq.Base.equal #Vale.X64.Decls.quad32 (FStar.Seq.Base.slice #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in_b) (count `op_Multiply` 6) (count
`op_Multiply` 6 + 6)) (FStar.Seq.Base.slice #quad32 plain_quads (count `op_Multiply` 6) (count
`op_Multiply` 6 + 6))) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 453 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Math.Poly2_s.degree (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s)) < 128)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 454 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Math.Poly2_s.degree (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_s)) < 128)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 455 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Math.Poly2_s.degree (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
scratch_b 1 (va_get_mem_heaplet 3 va_s))) < 128) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Math.Poly2_s.degree prev < 128) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 457 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 prev) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x_partial alg h_LE y_prev data count (va_if (va_get_reg64 rRdx va_s > 6) (fun _
-> count + 1) (fun _ -> count)) iv_b in0_b in_b scratch_b key_words round_keys keys_b hkeys_b
ctr_BE) (fun (va_s:va_state) (init:quad32_6) -> let (eventual_Xi:Vale.Math.Poly2_s.poly) = add
(add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s)) (Vale.Math.Poly2.Bits_s.of_quad32
(Vale.X64.Decls.buffer128_read scratch_b 1 (va_get_mem_heaplet 3 va_s))))
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_s)) in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 463 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(eventual_Xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GHash.ghash_incremental h_LE y_prev data))) (let (ctrs:(six_of
Vale.Def.Types_s.quad32)) = make_six_of #Vale.Def.Types_s.quad32 (fun (i:(va_int_range 0 5)) ->
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE i)) in let
(plains:(six_of Vale.X64.Decls.quad32)) = make_six_of #Vale.X64.Decls.quad32 (fun
(i:(va_int_range 0 5)) -> Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + i)
(va_get_mem_heaplet 6 va_s)) in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 468 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x_final alg iv_b scratch_b key_words round_keys keys_b (Vale.AES.GCTR.inc32lite
ctr_BE 6) init ctrs plains (Vale.X64.Decls.buffer128_read in0_b (va_if (va_get_reg64 rRdx va_s
> 6) (fun _ -> count + 1) (fun _ -> count) `op_Multiply` 6 + 0) (va_get_mem_heaplet 6 va_s)))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 471 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 6)) (fun (va_s:va_state) _ ->
va_QBind va_range1
"***** PRECONDITION NOT MET AT line 472 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_qIf va_mods (Cmp_gt (va_op_cmp_reg64 rRdx) (va_const_cmp 6)) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 474 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rR14) (va_const_opr64 96)) (va_QEmpty (())))) (qblock
va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> let
(y_new:quad32) = Vale.AES.GHash.ghash_incremental0 h_LE y_prev data in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 479 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.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)))) quad32
plain_quads 0 (count `op_Multiply` 6)) (fun _ -> let (va_arg104:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = data in let (va_arg103:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #quad32 plain_quads 0 (count `op_Multiply` 6)
in let (va_arg102:Vale.Def.Types_s.quad32) = y_new in let (va_arg101:Vale.Def.Types_s.quad32) =
y_orig in let (va_arg100:Vale.Def.Types_s.quad32) = h_LE in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 479 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GHash.lemma_ghash_incremental0_append va_arg100 va_arg101 y_prev
va_arg102 va_arg103 va_arg104) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 480 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.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)))) quad32
plain_quads 0 (count `op_Multiply` 6)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 480 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(y_new == Vale.AES.GHash.ghash_incremental0 h_LE y_orig (FStar.Seq.Base.append #quad32
(FStar.Seq.Base.slice #quad32 plain_quads 0 (count `op_Multiply` 6)) data)) (va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 481 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.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)))) quad32
plain_quads 0 (count `op_Multiply` 6) /\ (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)))) quad32 plain_quads 0 ((count + 1) `op_Multiply` 6))
(fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 481 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(FStar.Seq.Base.equal #quad32 (FStar.Seq.Base.append #quad32 (FStar.Seq.Base.slice #quad32
plain_quads 0 (count `op_Multiply` 6)) data) (FStar.Seq.Base.slice #quad32 plain_quads 0
((count + 1) `op_Multiply` 6))) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 483 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.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)))) quad32
plain_quads 0 ((count + 1) `op_Multiply` 6)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 483 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(y_new == Vale.AES.GHash.ghash_incremental0 h_LE y_orig (FStar.Seq.Base.slice #quad32
plain_quads 0 ((count + 1) `op_Multiply` 6))) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 486 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_qIf va_mods (Cmp_gt (va_op_cmp_reg64 rRdx) (va_const_cmp 0)) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 488 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x_save_output count out_b) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 492 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 7) (va_op_reg_opr64_reg64
rRbp) 32 Secret scratch_b 2) (fun (va_s:va_state) _ -> let (plain:(FStar.Seq.Base.seq
Vale.X64.Decls.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old_s) in_b in let
(cipher:(FStar.Seq.Base.seq Vale.X64.Decls.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_s) out_b in let (bound:(va_int_at_least 0)) = count `op_Multiply` 6 in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 497 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(bound >= 0 /\ bound <= 4294967295) (fun _ -> let (va_arg99:Vale.Def.Types_s.quad32) =
ctr_BE_orig in let (va_arg98:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = key_words in let
(va_arg97:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = cipher in let
(va_arg96:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old_s) out_b in let (va_arg95:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = plain_quads in let (va_arg94:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = plain_quads in let (va_arg93:Vale.Def.Types_s.nat32) = bound in let
(va_arg92:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 497 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_partial_opaque_ignores_postfix va_arg92 va_arg93 va_arg94
va_arg95 va_arg96 va_arg97 va_arg98 va_arg99) (let (va_arg91:Vale.Def.Types_s.quad32) =
ctr_BE_orig in let (va_arg90:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = key_words in let
(va_arg89:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = cipher in let
(va_arg88:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = plain_quads in let
(va_arg87:Prims.nat) = bound in let (va_arg86:Vale.AES.AES_common_s.algorithm) = alg in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 499 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_partial_extend6 va_arg86 va_arg87 va_arg88 va_arg89
va_arg90 va_arg91) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s) in let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(Vale.X64.Decls.buffer128_read scratch_b 1 (va_get_mem_heaplet 3 va_s)) in let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 501 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GHash.lemma_add_manip va_arg83 va_arg84 va_arg85) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 507 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(y_new == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GHash.ghash_incremental h_LE y_prev data))))) (va_QEmpty (())))))))))) (qblock
va_mods (fun (va_s:va_state) -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 511 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(eventual_Xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GHash.ghash_incremental h_LE y_prev data))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 512 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Mem128_lemma (va_op_heaplet_mem_heaplet 3) (va_op_reg64_reg64 rRbp) 16 Secret
scratch_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 512 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPolyAdd (va_op_xmm_xmm 8) (va_op_xmm_xmm 8) (va_opr_code_Mem128
(va_op_heaplet_mem_heaplet 3) (va_op_reg64_reg64 rRbp) 16 Secret)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 513 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPolyAdd (va_op_xmm_xmm 8) (va_op_xmm_xmm 8) (va_op_opr128_xmm 4)) (fun
(va_s:va_state) _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 514 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s) == Vale.Math.Poly2.Bits_s.of_quad32
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GHash.ghash_incremental h_LE y_prev data)))
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 515 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s)) ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2.Bits_s.of_quad32
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GHash.ghash_incremental h_LE y_prev data))))
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 516 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 8 va_s == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GHash.ghash_incremental
h_LE y_prev data)) (va_QEmpty (()))))))))))) (fun (va_s:va_state) va_g -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 518 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_registers_reveal ()) (va_QEmpty
((y_new)))))))))))))))))))))))))))))
val va_lemma_Loop6x_decrypt : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> h_LE:quad32 ->
y_orig:quad32 -> y_prev:quad32 -> count:nat -> iv_b:buffer128 -> in0_b:buffer128 ->
in_b:buffer128 -> out_b:buffer128 -> scratch_b:buffer128 -> plain_quads:(seq quad32) ->
key_words:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 ->
ctr_BE_orig:quad32 -> ctr_BE:quad32
-> Ghost (va_state & va_fuel & quad32)
(requires (va_require_total va_b0 (va_code_Loop6x_decrypt alg) va_s0 /\ va_get_ok va_s0 /\
(sse_enabled /\ movbe_enabled /\ va_get_reg64 rRdx va_s0 >= 6 /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_s0) (va_get_reg64 rR8 va_s0) iv_b 1
(va_get_mem_layout va_s0) Public /\ (va_get_reg64 rRdx va_s0 > 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rR14 va_s0)
in0_b ((count + 1) `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx
va_s0 == 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64
rR14 va_s0) in0_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret) /\
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi va_s0)
in_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
out_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0)
Secret /\ Vale.AES.GCTR.partial_seq_agreement plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) in_b) (count `op_Multiply` 6) (count `op_Multiply` 6 + 6) /\
(Vale.X64.Decls.buffers_disjoint128 in_b out_b \/ in_b == out_b) /\ in0_b == in_b /\
va_get_reg64 rRdi va_s0 + 96 < pow2_64 /\ va_get_reg64 rR14 va_s0 + 96 < pow2_64 /\
va_get_reg64 rRsi va_s0 + 96 < pow2_64 /\ aes_reqs_offset alg key_words round_keys keys_b
(va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ va_get_xmm
15 va_s0 == FStar.Seq.Base.index #quad32 round_keys 0 /\ pclmulqdq_enabled /\ h_LE ==
Vale.AES.AES_s.aes_encrypt_LE alg key_words (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0)
hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ scratch_reqs scratch_b count
(va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in0_b)
(va_get_xmm 7 va_s0) /\ y_prev == Vale.AES.GHash.ghash_incremental0 h_LE y_orig
(FStar.Seq.Base.slice #quad32 plain_quads 0 (count `op_Multiply` 6)) /\ y_prev ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s0))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
scratch_b 1 (va_get_mem_heaplet 3 va_s0))))) /\ count `op_Multiply` 6 + 6 < pow2_32 /\ ctr_BE
== Vale.AES.GCTR.inc32lite ctr_BE_orig (count `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 0) /\ va_get_reg64 rRbx
va_s0 == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_BE `op_Modulus` 256 /\ va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 0)) (va_get_xmm 15 va_s0) /\ (va_get_reg64 rRbx va_s0 + 6 < 256
==> va_get_xmm 10 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 1)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 2)) /\ (va_get_reg64 rRbx
va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 3)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13
va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 4)) /\
(va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 5)) /\
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` count) plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) out_b) key_words ctr_BE_orig)))
(ensures (fun (va_sM, va_fM, y_new) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM
/\ ((va_get_reg64 rRdx va_sM == 0 ==> va_get_mem_heaplet 6 va_sM == va_get_mem_heaplet 6 va_s0)
/\ Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 8 /\ Vale.X64.Decls.modifies_buffer_specific128 out_b
(va_get_mem_heaplet 6 va_s0) (va_get_mem_heaplet 6 va_sM) (count `op_Multiply` 6 + 0) (count
`op_Multiply` 6 + 5) /\ Vale.X64.Decls.modifies_buffer_specific128 iv_b (va_get_mem_heaplet 2
va_s0) (va_get_mem_heaplet 2 va_sM) 0 0 /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.AES.GCTR.partial_seq_agreement plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_sM) in_b) ((count + 1) `op_Multiply` 6) ((count + 1) `op_Multiply` 6)) /\ va_get_reg64 rRdx
va_sM == va_get_reg64 rRdx va_s0 - 6 /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 + 96
/\ va_get_reg64 rR14 va_sM == (if (va_get_reg64 rRdx va_sM > 6) then (va_get_reg64 rR14 va_s0 +
96) else va_get_reg64 rR14 va_s0) /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + 96 /\
va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 round_keys 0 /\ va_get_xmm 2 va_sM ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 6) /\ (va_get_reg64 rRbx
va_sM + 6 < 256 ==> va_get_xmm 0 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 7)) /\ (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 5
va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 8)) /\
(va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 6 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 9)) /\ (va_get_reg64 rRdx
va_sM == 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 7 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 10))) /\ (va_get_reg64
rRbx va_sM + 6 < 256 ==> va_get_xmm 3 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 11)) /\ va_get_reg64 rRbx va_sM ==
Vale.Def.Words_s.__proj__Mkfour__item__lo0 (Vale.AES.GCTR.inc32lite ctr_BE 6) `op_Modulus` 256
/\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM)
(va_get_xmm 10 va_sM) (va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM)
(va_get_xmm 14 va_sM) plain_quads alg key_words ctr_BE_orig count) /\ (va_get_reg64 rRdx va_sM
> 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 6)) (va_get_xmm 15
va_sM)) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 10 va_sM == va_get_xmm 0 va_sM) /\
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 11 va_sM == va_get_xmm 5 va_sM) /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_xmm 12 va_sM == va_get_xmm 6 va_sM) /\ (va_get_reg64 rRdx va_sM > 0
==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 10))) /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_xmm 14 va_sM == va_get_xmm 3 va_sM) /\ (va_get_reg64 rRdx va_sM > 0
==> Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 0) (va_get_mem_heaplet 6
va_sM) == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply`
6 + 0) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 0))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 1) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 1)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 1))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 2) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 2)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 2))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 3) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 3)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 3))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 4) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 4)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 4))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 5) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 5)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 5))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` (count + 1)) plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) out_b) key_words ctr_BE_orig) /\ y_new ==
Vale.AES.GHash.ghash_incremental0 h_LE y_orig (FStar.Seq.Base.slice #quad32 plain_quads 0
((count + 1) `op_Multiply` 6)) /\ (va_get_reg64 rRdx va_sM > 0 ==> y_new ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_sM))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
scratch_b 1 (va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8
va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_new) /\ (va_get_reg64 rRdx va_sM > 0 ==>
scratch_reqs scratch_b (count + 1) (va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) in0_b) (va_get_xmm 7 va_sM))) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2 va_sM
(va_update_mem_heaplet 6 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm
13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm
9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5
va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1
va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM
(va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM
(va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Loop6x_decrypt va_b0 va_s0 alg h_LE y_orig y_prev count iv_b in0_b in_b out_b
scratch_b plain_quads key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2;
va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm
11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14;
va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_Loop6x_decrypt va_mods alg h_LE y_orig y_prev count iv_b in0_b in_b out_b
scratch_b plain_quads key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Loop6x_decrypt alg) va_qc va_s0 (fun
va_s0 va_sM va_g -> let y_new = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 290 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ (label va_range1
"***** POSTCONDITION NOT MET AT line 388 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_mem_heaplet 6 va_sM == va_get_mem_heaplet 6 va_s0) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 389 column 72 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 8) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 390 column 94 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 out_b (va_get_mem_heaplet 6 va_s0)
(va_get_mem_heaplet 6 va_sM) (count `op_Multiply` 6 + 0) (count `op_Multiply` 6 + 5)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 391 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 iv_b (va_get_mem_heaplet 2 va_s0)
(va_get_mem_heaplet 2 va_sM) 0 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 392 column 100 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.partial_seq_agreement plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) in_b) ((count + 1) `op_Multiply` 6) ((count +
1) `op_Multiply` 6)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 397 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_s0 - 6) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 398 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 + 96) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 399 column 64 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rR14 va_sM == va_if (va_get_reg64 rRdx va_sM > 6) (fun _ -> va_get_reg64 rR14
va_s0 + 96) (fun _ -> va_get_reg64 rR14 va_s0)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 400 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + 96) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 402 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 round_keys 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 405 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 407 column 59 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE
6)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 408 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 0 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 7)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 409 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 5 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 8)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 410 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 6 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 9)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 411 column 94 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 7 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 10))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 412 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 3 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 11)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 414 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 (Vale.AES.GCTR.inc32lite
ctr_BE 6) `op_Modulus` 256) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 418 column 85 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm
10 va_sM) (va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14
va_sM) plain_quads alg key_words ctr_BE_orig count) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 420 column 93 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 6)) (va_get_xmm 15
va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 421 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 10 va_sM == va_get_xmm 0 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 422 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 11 va_sM == va_get_xmm 5 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 423 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 12 va_sM == va_get_xmm 6 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 424 column 98 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 10))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 425 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 14 va_sM == va_get_xmm 3 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 427 column 177 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 +
0) (va_get_mem_heaplet 6 va_sM) == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read
in_b (count `op_Multiply` 6 + 0) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE 0))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 428 column 177 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 +
1) (va_get_mem_heaplet 6 va_sM) == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read
in_b (count `op_Multiply` 6 + 1) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE 1))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 429 column 177 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 +
2) (va_get_mem_heaplet 6 va_sM) == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read
in_b (count `op_Multiply` 6 + 2) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE 2))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 430 column 177 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 +
3) (va_get_mem_heaplet 6 va_sM) == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read
in_b (count `op_Multiply` 6 + 3) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE 3))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 431 column 177 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 +
4) (va_get_mem_heaplet 6 va_sM) == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read
in_b (count `op_Multiply` 6 + 4) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE 4))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 432 column 177 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 +
5) (va_get_mem_heaplet 6 va_sM) == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read
in_b (count `op_Multiply` 6 + 5) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE 5))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 435 column 108 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` (count + 1))
plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out_b) key_words ctr_BE_orig) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 438 column 90 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(y_new == Vale.AES.GHash.ghash_incremental0 h_LE y_orig (FStar.Seq.Base.slice #quad32
plain_quads 0 ((count + 1) `op_Multiply` 6))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 440 column 103 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> y_new == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_sM)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read scratch_b 1
(va_get_mem_heaplet 3 va_sM)))))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 441 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
y_new) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 443 column 89 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs scratch_b (count + 1) (va_get_mem_heaplet 3
va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in0_b) (va_get_xmm 7 va_sM)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet
6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10;
va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm
3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_reg64
rRdi; va_Mod_ok; va_Mod_mem]) va_sM va_s0;
let y_new = va_g in
(va_sM, va_fM, y_new)
[@ va_qattr]
let va_wp_Loop6x_decrypt (alg:algorithm) (h_LE:quad32) (y_orig:quad32) (y_prev:quad32) (count:nat)
(iv_b:buffer128) (in0_b:buffer128) (in_b:buffer128) (out_b:buffer128) (scratch_b:buffer128)
(plain_quads:(seq quad32)) (key_words:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128)
(hkeys_b:buffer128) (ctr_BE_orig:quad32) (ctr_BE:quad32) (va_s0:va_state) (va_k:(va_state ->
quad32 -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ movbe_enabled /\ va_get_reg64 rRdx va_s0 >= 6 /\ va_get_xmm 2
va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_s0) (va_get_reg64 rR8 va_s0) iv_b 1
(va_get_mem_layout va_s0) Public /\ (va_get_reg64 rRdx va_s0 > 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rR14 va_s0)
in0_b ((count + 1) `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx
va_s0 == 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64
rR14 va_s0) in0_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret) /\
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi va_s0)
in_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
out_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0)
Secret /\ Vale.AES.GCTR.partial_seq_agreement plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) in_b) (count `op_Multiply` 6) (count `op_Multiply` 6 + 6) /\
(Vale.X64.Decls.buffers_disjoint128 in_b out_b \/ in_b == out_b) /\ in0_b == in_b /\
va_get_reg64 rRdi va_s0 + 96 < pow2_64 /\ va_get_reg64 rR14 va_s0 + 96 < pow2_64 /\
va_get_reg64 rRsi va_s0 + 96 < pow2_64 /\ aes_reqs_offset alg key_words round_keys keys_b
(va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ va_get_xmm
15 va_s0 == FStar.Seq.Base.index #quad32 round_keys 0 /\ pclmulqdq_enabled /\ h_LE ==
Vale.AES.AES_s.aes_encrypt_LE alg key_words (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0)
hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ scratch_reqs scratch_b count
(va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in0_b)
(va_get_xmm 7 va_s0) /\ y_prev == Vale.AES.GHash.ghash_incremental0 h_LE y_orig
(FStar.Seq.Base.slice #quad32 plain_quads 0 (count `op_Multiply` 6)) /\ y_prev ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s0))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
scratch_b 1 (va_get_mem_heaplet 3 va_s0))))) /\ count `op_Multiply` 6 + 6 < pow2_32 /\ ctr_BE
== Vale.AES.GCTR.inc32lite ctr_BE_orig (count `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 0) /\ va_get_reg64 rRbx
va_s0 == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_BE `op_Modulus` 256 /\ va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 0)) (va_get_xmm 15 va_s0) /\ (va_get_reg64 rRbx va_s0 + 6 < 256
==> va_get_xmm 10 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 1)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 2)) /\ (va_get_reg64 rRbx
va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 3)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13
va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 4)) /\
(va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 5)) /\
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` count) plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) out_b) key_words ctr_BE_orig) /\ (forall (va_x_mem:vale_heap)
(va_x_rdi:nat64) (va_x_rsi:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r11:nat64)
(va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_xmm0:quad32) (va_x_xmm1:quad32)
(va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32)
(va_x_xmm7:quad32) (va_x_xmm8:quad32) (va_x_xmm9:quad32) (va_x_xmm10:quad32)
(va_x_xmm11:quad32) (va_x_xmm12:quad32) (va_x_xmm13:quad32) (va_x_xmm14:quad32)
(va_x_xmm15:quad32) (va_x_heap6:vale_heap) (va_x_heap2:vale_heap) (va_x_heap3:vale_heap)
(va_x_efl:Vale.X64.Flags.t) (y_new:quad32) . let va_sM = va_upd_flags va_x_efl
(va_upd_mem_heaplet 3 va_x_heap3 (va_upd_mem_heaplet 2 va_x_heap2 (va_upd_mem_heaplet 6
va_x_heap6 (va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13 va_x_xmm13
(va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 9
va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5
va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 1
va_x_xmm1 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13
(va_upd_reg64 rR12 va_x_r12 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdi va_x_rdi (va_upd_mem
va_x_mem va_s0)))))))))))))))))))))))))))) in va_get_ok va_sM /\ ((va_get_reg64 rRdx va_sM == 0
==> va_get_mem_heaplet 6 va_sM == va_get_mem_heaplet 6 va_s0) /\
Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 8 /\ Vale.X64.Decls.modifies_buffer_specific128 out_b
(va_get_mem_heaplet 6 va_s0) (va_get_mem_heaplet 6 va_sM) (count `op_Multiply` 6 + 0) (count
`op_Multiply` 6 + 5) /\ Vale.X64.Decls.modifies_buffer_specific128 iv_b (va_get_mem_heaplet 2
va_s0) (va_get_mem_heaplet 2 va_sM) 0 0 /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.AES.GCTR.partial_seq_agreement plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_sM) in_b) ((count + 1) `op_Multiply` 6) ((count + 1) `op_Multiply` 6)) /\ va_get_reg64 rRdx
va_sM == va_get_reg64 rRdx va_s0 - 6 /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 + 96
/\ va_get_reg64 rR14 va_sM == va_if (va_get_reg64 rRdx va_sM > 6) (fun _ -> va_get_reg64 rR14
va_s0 + 96) (fun _ -> va_get_reg64 rR14 va_s0) /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi
va_s0 + 96 /\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 round_keys 0 /\ va_get_xmm 2
va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM
== Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 6) /\ (va_get_reg64
rRbx va_sM + 6 < 256 ==> va_get_xmm 0 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 7)) /\ (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 5
va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 8)) /\
(va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 6 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 9)) /\ (va_get_reg64 rRdx
va_sM == 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 7 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 10))) /\ (va_get_reg64
rRbx va_sM + 6 < 256 ==> va_get_xmm 3 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 11)) /\ va_get_reg64 rRbx va_sM ==
Vale.Def.Words_s.__proj__Mkfour__item__lo0 (Vale.AES.GCTR.inc32lite ctr_BE 6) `op_Modulus` 256
/\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM)
(va_get_xmm 10 va_sM) (va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM)
(va_get_xmm 14 va_sM) plain_quads alg key_words ctr_BE_orig count) /\ (va_get_reg64 rRdx va_sM
> 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 6)) (va_get_xmm 15
va_sM)) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 10 va_sM == va_get_xmm 0 va_sM) /\
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 11 va_sM == va_get_xmm 5 va_sM) /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_xmm 12 va_sM == va_get_xmm 6 va_sM) /\ (va_get_reg64 rRdx va_sM > 0
==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 10))) /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_xmm 14 va_sM == va_get_xmm 3 va_sM) /\ (va_get_reg64 rRdx va_sM > 0
==> Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 0) (va_get_mem_heaplet 6
va_sM) == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply`
6 + 0) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 0))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 1) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 1)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 1))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 2) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 2)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 2))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 3) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 3)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 3))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 4) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 4)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 4))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 5) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 5)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 5))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` (count + 1)) plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) out_b) key_words ctr_BE_orig) /\ y_new ==
Vale.AES.GHash.ghash_incremental0 h_LE y_orig (FStar.Seq.Base.slice #quad32 plain_quads 0
((count + 1) `op_Multiply` 6)) /\ (va_get_reg64 rRdx va_sM > 0 ==> y_new ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_sM))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
scratch_b 1 (va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8
va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_new) /\ (va_get_reg64 rRdx va_sM > 0 ==>
scratch_reqs scratch_b (count + 1) (va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) in0_b) (va_get_xmm 7 va_sM))) ==> va_k va_sM ((y_new))))
val va_wpProof_Loop6x_decrypt : alg:algorithm -> h_LE:quad32 -> y_orig:quad32 -> y_prev:quad32 ->
count:nat -> iv_b:buffer128 -> in0_b:buffer128 -> in_b:buffer128 -> out_b:buffer128 ->
scratch_b:buffer128 -> plain_quads:(seq quad32) -> key_words:(seq nat32) -> round_keys:(seq
quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 -> ctr_BE_orig:quad32 -> ctr_BE:quad32 ->
va_s0:va_state -> va_k:(va_state -> quad32 -> Type0)
-> Ghost (va_state & va_fuel & quad32)
(requires (va_t_require va_s0 /\ va_wp_Loop6x_decrypt alg h_LE y_orig y_prev count iv_b in0_b
in_b out_b scratch_b plain_quads key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE va_s0
va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Loop6x_decrypt alg) ([va_Mod_flags;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14;
va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8;
va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm
1; va_Mod_xmm 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11;
va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_mem]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Loop6x_decrypt alg h_LE y_orig y_prev count iv_b in0_b in_b out_b scratch_b
plain_quads key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE va_s0 va_k =
let (va_sM, va_f0, y_new) = va_lemma_Loop6x_decrypt (va_code_Loop6x_decrypt alg) va_s0 alg h_LE
y_orig y_prev count iv_b in0_b in_b out_b scratch_b plain_quads key_words round_keys keys_b
hkeys_b ctr_BE_orig ctr_BE in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 3 va_sM
(va_update_mem_heaplet 2 va_sM (va_update_mem_heaplet 6 va_sM (va_update_xmm 15 va_sM
(va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM
(va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM
(va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM
(va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR14
va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRsi va_sM
(va_update_reg64 rRdi va_sM (va_update_ok va_sM (va_update_mem va_sM
va_s0)))))))))))))))))))))))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet
6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10;
va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm
3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_reg64
rRdi; va_Mod_mem]) va_sM va_s0;
let va_g = (y_new) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Loop6x_decrypt (alg:algorithm) (h_LE:quad32) (y_orig:quad32) (y_prev:quad32)
(count:nat) (iv_b:buffer128) (in0_b:buffer128) (in_b:buffer128) (out_b:buffer128)
(scratch_b:buffer128) (plain_quads:(seq quad32)) (key_words:(seq nat32)) (round_keys:(seq
quad32)) (keys_b:buffer128) (hkeys_b:buffer128) (ctr_BE_orig:quad32) (ctr_BE:quad32) :
(va_quickCode quad32 (va_code_Loop6x_decrypt alg)) =
(va_QProc (va_code_Loop6x_decrypt alg) ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet
2; va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm
11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14;
va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_mem]) (va_wp_Loop6x_decrypt alg h_LE y_orig y_prev
count iv_b in0_b in_b out_b scratch_b plain_quads key_words round_keys keys_b hkeys_b
ctr_BE_orig ctr_BE) (va_wpProof_Loop6x_decrypt alg h_LE y_orig y_prev count iv_b in0_b in_b
out_b scratch_b plain_quads key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE))
#pop-options
//--
//-- Loop6x_loop_decrypt_body0
#push-options "--z3rlimit 700"
val va_code_Loop6x_loop_decrypt_body0 : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Loop6x_loop_decrypt_body0 alg =
(va_Block (va_CCons (va_code_Loop6x_decrypt alg) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))
val va_codegen_success_Loop6x_loop_decrypt_body0 : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Loop6x_loop_decrypt_body0 alg =
(va_pbool_and (va_codegen_success_Loop6x_decrypt alg) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Loop6x_loop_decrypt_body0 (va_mods:va_mods_t) (va_old:va_state) (alg:algorithm)
(va_in_ctr_BE_orig:quad32) (va_in_h_LE:quad32) (va_in_hkeys_b:buffer128) (va_in_in0_b:buffer128)
(va_in_in_b:buffer128) (va_in_iv_b:buffer128) (va_in_key_words:(seq nat32))
(va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32))
(va_in_round_keys:(seq quad32)) (va_in_scratch_b:buffer128) (va_in_y_orig:quad32)
(va_in_ctr:quad32) (va_in_iter:nat) (va_in_y_cur:quad32) : (va_quickCode (quad32 & nat & quad32)
(va_code_Loop6x_loop_decrypt_body0 alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(ctr_BE_orig:quad32) = va_in_ctr_BE_orig in let (h_LE:quad32) = va_in_h_LE in let
(hkeys_b:buffer128) = va_in_hkeys_b in let (in0_b:buffer128) = va_in_in0_b in let
(in_b:buffer128) = va_in_in_b in let (iv_b:buffer128) = va_in_iv_b in let (key_words:(seq
nat32)) = va_in_key_words in let (keys_b:buffer128) = va_in_keys_b in let (out_b:buffer128) =
va_in_out_b in let (plain_quads:(seq quad32)) = va_in_plain_quads in let (round_keys:(seq
quad32)) = va_in_round_keys in let (scratch_b:buffer128) = va_in_scratch_b in let
(y_orig:quad32) = va_in_y_orig in let (ctr:quad32) = va_in_ctr in let (iter:nat) = va_in_iter
in let (y_cur:quad32) = va_in_y_cur in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 733 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x_decrypt alg h_LE y_orig y_cur iter iv_b in0_b in_b out_b scratch_b plain_quads
key_words round_keys keys_b hkeys_b ctr_BE_orig ctr) (fun (va_s:va_state) (y_cur:quad32) ->
va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 735 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(iter + 1 >= 0) (fun _ -> let (iter:nat) = iter + 1 in let (ctr:quad32) = Vale.AES.GCTR_s.inc32
ctr 6 in va_QEmpty ((ctr, iter, y_cur))))))
val va_lemma_Loop6x_loop_decrypt_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
alg:algorithm -> va_in_ctr_BE_orig:quad32 -> va_in_h_LE:quad32 -> va_in_hkeys_b:buffer128 ->
va_in_in0_b:buffer128 -> va_in_in_b:buffer128 -> va_in_iv_b:buffer128 -> va_in_key_words:(seq
nat32) -> va_in_keys_b:buffer128 -> va_in_out_b:buffer128 -> va_in_plain_quads:(seq quad32) ->
va_in_round_keys:(seq quad32) -> va_in_scratch_b:buffer128 -> va_in_y_orig:quad32 ->
va_in_ctr:quad32 -> va_in_iter:nat -> va_in_y_cur:quad32
-> Ghost (va_state & va_fuel & quad32 & nat & quad32)
(requires (va_require_total va_b0 (va_code_Loop6x_loop_decrypt_body0 alg) va_s0 /\ va_get_ok
va_s0 /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_s0 == va_get_reg64 rRdx va_old
- 6 `op_Multiply` va_in_iter /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old + 96
`op_Multiply` va_in_iter /\ va_get_reg64 rRsi va_s0 == va_get_reg64 rRsi va_old + 96
`op_Multiply` va_in_iter /\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2
va_s0) (va_get_reg64 rR8 va_s0) va_in_iv_b 1 (va_get_mem_layout va_s0) Public /\ (va_get_reg64
rRdx va_s0 > 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b ((va_in_iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx
va_old - 6 `op_Multiply` (va_in_iter + 1)) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64
rRdx va_s0 == 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` va_in_iter) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0
==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi
va_s0) va_in_in_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply`
va_in_iter) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
va_in_out_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply`
va_in_iter) (va_get_mem_layout va_s0) Secret) /\ Vale.X64.Decls.validDstAddrs128
(va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0) va_in_scratch_b 9 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9
va_s0 - 32) va_in_hkeys_b 8 (va_get_mem_layout va_s0) Secret /\
(Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\
va_in_in0_b == va_in_in_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_s0) va_in_in_b) (6 `op_Multiply` va_in_iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_s0 >
0 ==> va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\
(va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rR14 va_s0 + 16 `op_Multiply` (va_get_reg64 rRdx
va_s0 - 6) < pow2_64) /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128
va_in_scratch_b (va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_s0) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) 0 (va_in_iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_s0 ==
0 ==> va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_s0) 0 (va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_s0) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0)
/\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_s0) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ (va_get_reg64 rRdx va_s0 > 0 ==> scratch_reqs va_in_scratch_b va_in_iter (va_get_mem_heaplet
3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in0_b) (va_get_xmm 7 va_s0))
/\ (va_in_iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==>
va_in_y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice
#quad32 va_in_plain_quads 0 (va_in_iter `op_Multiply` 6))) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
va_in_y_cur == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add
(add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s0))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
va_in_scratch_b 1 (va_get_mem_heaplet 3 va_s0)))))) /\ (va_get_reg64 rRdx va_s0 == 0 ==>
va_get_xmm 8 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 va_in_y_cur) /\ va_get_reg64 rRdx
va_s0 `op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ (6 <= va_get_reg64 rRdx
va_old /\ va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_iter `op_Multiply` 6 + 6 < pow2_32
/\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRdx va_s0 >= 6) /\ va_in_ctr ==
Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (va_in_iter `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 0) /\ va_get_reg64
rRbx va_s0 == va_in_ctr.lo0 `op_Modulus` 256 /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite va_in_ctr 0)) (va_get_xmm 15 va_s0)) /\ (va_get_reg64 rRdx va_s0 > 0
==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 10 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 1))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 2))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 3))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 4))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 5))) /\ (va_get_reg64
rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s0) (va_get_xmm 10 va_s0)
(va_get_xmm 11 va_s0) (va_get_xmm 12 va_s0) (va_get_xmm 13 va_s0) (va_get_xmm 14 va_s0)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_iter - 1)) /\ (va_get_reg64 rRdx
va_s0 > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_iter) va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_out_b) va_in_key_words
va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (va_in_iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_s0) va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ va_get_reg64 rRdx va_s0 > 0))
(ensures (fun (va_sM, va_fM, ctr, iter, y_cur) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_sM == va_get_reg64
rRdx va_old - 6 `op_Multiply` iter /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96
`op_Multiply` iter /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply`
iter /\ va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public /\ (va_get_reg64 rRdx va_sM > 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b ((iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` (iter +
1)) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM == 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRdi va_sM)
va_in_in_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRsi va_sM)
va_in_out_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3
va_sM) (va_get_reg64 rRbp va_sM) va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret /\
Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32)
va_in_hkeys_b 8 (va_get_mem_layout va_sM) Secret /\ (Vale.X64.Decls.buffers_disjoint128
va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ va_in_in0_b == va_in_in_b /\
FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old)
va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.partial_seq_agreement
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in_b) (6
`op_Multiply` iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64
rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64 rRdx va_sM >
0 ==> va_get_reg64 rR14 va_sM + 16 `op_Multiply` (va_get_reg64 rRdx va_sM - 6) < pow2_64) /\
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b
(va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_sM) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) 0 (iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_sM == 0 ==>
va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) 0 (va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)
/\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_sM) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ (va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b iter (va_get_mem_heaplet 3
va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\
(iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==> y_cur ==
Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice #quad32
va_in_plain_quads 0 (iter `op_Multiply` 6))) /\ (va_get_reg64 rRdx va_sM > 0 ==> y_cur ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_sM))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
va_in_scratch_b 1 (va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==>
va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ va_get_reg64 rRdx va_sM
`op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_sM < pow2_32 /\ (6 <= va_get_reg64 rRdx va_old /\
va_get_reg64 rRdx va_old + 6 < pow2_32) /\ iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_reg64 rRdx va_sM >= 6) /\ ctr == Vale.AES.GCTR.inc32lite
va_in_ctr_BE_orig (iter `op_Multiply` 6) /\ va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\ va_get_reg64 rRbx
va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256 /\ (va_get_reg64 rRdx
va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ (va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM
== Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ (va_get_reg64
rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ (va_get_reg64 rRdx
va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm 10 va_sM)
(va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14 va_sM)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (iter - 1)) /\ (va_get_reg64 rRdx va_sM
> 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` iter) va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b) va_in_key_words
va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ precedes_wrap (va_get_reg64 rRdx va_sM)
(va_get_reg64 rRdx va_s0) /\ va_state_eq va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM
(va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM
(va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM
(va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM
(va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx
va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM
(va_update_ok va_sM (va_update_mem va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet
3 va_sM (va_update_mem_heaplet 2 va_sM (va_update_flags va_sM
va_s0))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Loop6x_loop_decrypt_body0 va_b0 va_s0 va_old alg va_in_ctr_BE_orig va_in_h_LE
va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b
va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags] in
let va_qc = va_qcode_Loop6x_loop_decrypt_body0 va_mods va_old alg va_in_ctr_BE_orig va_in_h_LE
va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b
va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter
va_in_y_cur in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Loop6x_loop_decrypt_body0 alg) va_qc
va_s0 (fun va_s0 va_sM va_g -> let (ctr, iter, y_cur) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 521 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 653 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(sse_enabled /\ movbe_enabled) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 655 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_old - 6 `op_Multiply` iter) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 658 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96 `op_Multiply` iter) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 659 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 661 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 664 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 666 column 121 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rR14 va_sM) va_in_in0_b ((iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx
va_old - 6 `op_Multiply` (iter + 1)) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 669 column 114 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rR14 va_sM) va_in_in0_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` iter) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 671 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rRdi va_sM) va_in_in_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` iter) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 672 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rRsi va_sM) va_in_out_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` iter) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 674 column 74 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_sM) (va_get_reg64 rRbp va_sM)
va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 675 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32)
va_in_hkeys_b 8 (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 676 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 677 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_in0_b == va_in_in_b) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 679 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) va_in_in_b) >= 6) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 680 column 118 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in_b) (6 `op_Multiply` iter)
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) va_in_in_b))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 681 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 682 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rR14 va_sM + 16 `op_Multiply` (va_get_reg64 rRdx
va_sM - 6) < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 683 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 685 column 76 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b (va_get_mem_heaplet 3 va_old)
(va_get_mem_heaplet 3 va_sM) 1 8) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 686 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) 0 (iter `op_Multiply` 6 + 5)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 687 column 117 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_reg64 rRdx va_old >= 6 /\
Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) 0 (va_get_reg64 rRdx va_old - 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 688 column 74 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 691 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(aes_reqs_offset alg va_in_key_words va_in_round_keys va_in_keys_b (va_get_reg64 rRcx va_sM)
(va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 692 column 43 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 695 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
pclmulqdq_enabled /\ label va_range1
"***** POSTCONDITION NOT MET AT line 696 column 71 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 697 column 78 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_sM)
va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 698 column 85 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b iter (va_get_mem_heaplet 3 va_sM)
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 699 column 123 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==> y_cur ==
Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice #quad32
va_in_plain_quads 0 (iter `op_Multiply` 6))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 701 column 107 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_sM)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_sM)))))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 702 column 59 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
y_cur) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 705 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM `op_Modulus` 6 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 706 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 707 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(6 <= va_get_reg64 rRdx va_old /\ va_get_reg64 rRdx va_old + 6 < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 708 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(iter `op_Multiply` 6 + 6 < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 709 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdx va_sM >= 6) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 710 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (iter `op_Multiply` 6)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 711 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 712 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 713 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 715 column 94 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 717 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 718 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 719 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 720 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 721 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 724 column 90 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm
10 va_sM) (va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14
va_sM) va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (iter - 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 727 column 107 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` iter)
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 728 column 118 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` (iter - 1))
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 729 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(precedes_wrap (va_get_reg64 rRdx va_sM) (va_get_reg64 rRdx va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags]) va_sM va_s0;
let (ctr, iter, y_cur) = va_g in
(va_sM, va_fM, ctr, iter, y_cur)
[@ va_qattr]
let va_wp_Loop6x_loop_decrypt_body0 (va_old:va_state) (alg:algorithm) (va_in_ctr_BE_orig:quad32)
(va_in_h_LE:quad32) (va_in_hkeys_b:buffer128) (va_in_in0_b:buffer128) (va_in_in_b:buffer128)
(va_in_iv_b:buffer128) (va_in_key_words:(seq nat32)) (va_in_keys_b:buffer128)
(va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32)) (va_in_round_keys:(seq quad32))
(va_in_scratch_b:buffer128) (va_in_y_orig:quad32) (va_in_ctr:quad32) (va_in_iter:nat)
(va_in_y_cur:quad32) (va_s0:va_state) (va_k:(va_state -> (quad32 & nat & quad32) -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_s0 == va_get_reg64
rRdx va_old - 6 `op_Multiply` va_in_iter /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old
+ 96 `op_Multiply` va_in_iter /\ va_get_reg64 rRsi va_s0 == va_get_reg64 rRsi va_old + 96
`op_Multiply` va_in_iter /\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2
va_s0) (va_get_reg64 rR8 va_s0) va_in_iv_b 1 (va_get_mem_layout va_s0) Public /\ (va_get_reg64
rRdx va_s0 > 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b ((va_in_iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx
va_old - 6 `op_Multiply` (va_in_iter + 1)) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64
rRdx va_s0 == 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` va_in_iter) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0
==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi
va_s0) va_in_in_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply`
va_in_iter) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
va_in_out_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply`
va_in_iter) (va_get_mem_layout va_s0) Secret) /\ Vale.X64.Decls.validDstAddrs128
(va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0) va_in_scratch_b 9 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9
va_s0 - 32) va_in_hkeys_b 8 (va_get_mem_layout va_s0) Secret /\
(Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\
va_in_in0_b == va_in_in_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_s0) va_in_in_b) (6 `op_Multiply` va_in_iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_s0 >
0 ==> va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\
(va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rR14 va_s0 + 16 `op_Multiply` (va_get_reg64 rRdx
va_s0 - 6) < pow2_64) /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128
va_in_scratch_b (va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_s0) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) 0 (va_in_iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_s0 ==
0 ==> va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_s0) 0 (va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_s0) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0)
/\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_s0) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ (va_get_reg64 rRdx va_s0 > 0 ==> scratch_reqs va_in_scratch_b va_in_iter (va_get_mem_heaplet
3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in0_b) (va_get_xmm 7 va_s0))
/\ (va_in_iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==>
va_in_y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice
#quad32 va_in_plain_quads 0 (va_in_iter `op_Multiply` 6))) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
va_in_y_cur == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add
(add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s0))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
va_in_scratch_b 1 (va_get_mem_heaplet 3 va_s0)))))) /\ (va_get_reg64 rRdx va_s0 == 0 ==>
va_get_xmm 8 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 va_in_y_cur) /\ va_get_reg64 rRdx
va_s0 `op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ (6 <= va_get_reg64 rRdx
va_old /\ va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_iter `op_Multiply` 6 + 6 < pow2_32
/\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRdx va_s0 >= 6) /\ va_in_ctr ==
Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (va_in_iter `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 0) /\ va_get_reg64
rRbx va_s0 == va_in_ctr.lo0 `op_Modulus` 256 /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite va_in_ctr 0)) (va_get_xmm 15 va_s0)) /\ (va_get_reg64 rRdx va_s0 > 0
==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 10 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 1))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 2))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 3))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 4))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 5))) /\ (va_get_reg64
rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s0) (va_get_xmm 10 va_s0)
(va_get_xmm 11 va_s0) (va_get_xmm 12 va_s0) (va_get_xmm 13 va_s0) (va_get_xmm 14 va_s0)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_iter - 1)) /\ (va_get_reg64 rRdx
va_s0 > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_iter) va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_out_b) va_in_key_words
va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (va_in_iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_s0) va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ va_get_reg64 rRdx va_s0 > 0 /\
(forall (va_x_efl:Vale.X64.Flags.t) (va_x_heap2:vale_heap) (va_x_heap3:vale_heap)
(va_x_heap6:vale_heap) (va_x_mem:vale_heap) (va_x_ok:bool) (va_x_r11:nat64) (va_x_r12:nat64)
(va_x_r13:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rdi:nat64) (va_x_rdx:nat64)
(va_x_rsi:nat64) (va_x_xmm0:quad32) (va_x_xmm1:quad32) (va_x_xmm10:quad32) (va_x_xmm11:quad32)
(va_x_xmm12:quad32) (va_x_xmm13:quad32) (va_x_xmm14:quad32) (va_x_xmm15:quad32)
(va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32)
(va_x_xmm7:quad32) (va_x_xmm8:quad32) (va_x_xmm9:quad32) (ctr:quad32) (iter:nat) (y_cur:quad32)
. let va_sM = va_upd_xmm 9 va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7
(va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3
(va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13
va_x_xmm13 (va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10 va_x_xmm10
(va_upd_xmm 1 va_x_xmm1 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx
va_x_rdx (va_upd_reg64 rRdi va_x_rdi (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR12 va_x_r12 (va_upd_reg64 rR11 va_x_r11 (va_upd_ok
va_x_ok (va_upd_mem va_x_mem (va_upd_mem_heaplet 6 va_x_heap6 (va_upd_mem_heaplet 3 va_x_heap3
(va_upd_mem_heaplet 2 va_x_heap2 (va_upd_flags va_x_efl va_s0))))))))))))))))))))))))))))) in
va_get_ok va_sM /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_sM == va_get_reg64
rRdx va_old - 6 `op_Multiply` iter /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96
`op_Multiply` iter /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply`
iter /\ va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public /\ (va_get_reg64 rRdx va_sM > 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b ((iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` (iter +
1)) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM == 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRdi va_sM)
va_in_in_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRsi va_sM)
va_in_out_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3
va_sM) (va_get_reg64 rRbp va_sM) va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret /\
Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32)
va_in_hkeys_b 8 (va_get_mem_layout va_sM) Secret /\ (Vale.X64.Decls.buffers_disjoint128
va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ va_in_in0_b == va_in_in_b /\
FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old)
va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.partial_seq_agreement
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in_b) (6
`op_Multiply` iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64
rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64 rRdx va_sM >
0 ==> va_get_reg64 rR14 va_sM + 16 `op_Multiply` (va_get_reg64 rRdx va_sM - 6) < pow2_64) /\
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b
(va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_sM) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) 0 (iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_sM == 0 ==>
va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) 0 (va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)
/\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_sM) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ (va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b iter (va_get_mem_heaplet 3
va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\
(iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==> y_cur ==
Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice #quad32
va_in_plain_quads 0 (iter `op_Multiply` 6))) /\ (va_get_reg64 rRdx va_sM > 0 ==> y_cur ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_sM))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
va_in_scratch_b 1 (va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==>
va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ va_get_reg64 rRdx va_sM
`op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_sM < pow2_32 /\ (6 <= va_get_reg64 rRdx va_old /\
va_get_reg64 rRdx va_old + 6 < pow2_32) /\ iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_reg64 rRdx va_sM >= 6) /\ ctr == Vale.AES.GCTR.inc32lite
va_in_ctr_BE_orig (iter `op_Multiply` 6) /\ va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\ va_get_reg64 rRbx
va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256 /\ (va_get_reg64 rRdx
va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ (va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM
== Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ (va_get_reg64
rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ (va_get_reg64 rRdx
va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm 10 va_sM)
(va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14 va_sM)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (iter - 1)) /\ (va_get_reg64 rRdx va_sM
> 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` iter) va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b) va_in_key_words
va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ precedes_wrap (va_get_reg64 rRdx va_sM)
(va_get_reg64 rRdx va_s0) ==> va_k va_sM ((ctr, iter, y_cur))))
val va_wpProof_Loop6x_loop_decrypt_body0 : va_old:va_state -> alg:algorithm ->
va_in_ctr_BE_orig:quad32 -> va_in_h_LE:quad32 -> va_in_hkeys_b:buffer128 -> va_in_in0_b:buffer128
-> va_in_in_b:buffer128 -> va_in_iv_b:buffer128 -> va_in_key_words:(seq nat32) ->
va_in_keys_b:buffer128 -> va_in_out_b:buffer128 -> va_in_plain_quads:(seq quad32) ->
va_in_round_keys:(seq quad32) -> va_in_scratch_b:buffer128 -> va_in_y_orig:quad32 ->
va_in_ctr:quad32 -> va_in_iter:nat -> va_in_y_cur:quad32 -> va_s0:va_state -> va_k:(va_state ->
(quad32 & nat & quad32) -> Type0)
-> Ghost (va_state & va_fuel & (quad32 & nat & quad32))
(requires (va_t_require va_s0 /\ va_wp_Loop6x_loop_decrypt_body0 va_old alg va_in_ctr_BE_orig
va_in_h_LE va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b
va_in_out_b va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr
va_in_iter va_in_y_cur va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Loop6x_loop_decrypt_body0 alg)
([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4;
va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12;
va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx;
va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 3;
va_Mod_mem_heaplet 2; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Loop6x_loop_decrypt_body0 va_old alg va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b
va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur va_s0 va_k =
let (va_sM, va_f0, ctr, iter, y_cur) = va_lemma_Loop6x_loop_decrypt_body0
(va_code_Loop6x_loop_decrypt_body0 alg) va_s0 va_old alg va_in_ctr_BE_orig va_in_h_LE
va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b
va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter
va_in_y_cur in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM
(va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM
(va_update_xmm 2 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM
(va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 1 va_sM
(va_update_xmm 0 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRdi va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM
(va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_ok va_sM (va_update_mem
va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2
va_sM (va_update_flags va_sM va_s0)))))))))))))))))))))))))))))));
va_lemma_norm_mods ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags]) va_sM va_s0;
let va_g = (ctr, iter, y_cur) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Loop6x_loop_decrypt_body0 (va_old:va_state) (alg:algorithm) (va_in_ctr_BE_orig:quad32)
(va_in_h_LE:quad32) (va_in_hkeys_b:buffer128) (va_in_in0_b:buffer128) (va_in_in_b:buffer128)
(va_in_iv_b:buffer128) (va_in_key_words:(seq nat32)) (va_in_keys_b:buffer128)
(va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32)) (va_in_round_keys:(seq quad32))
(va_in_scratch_b:buffer128) (va_in_y_orig:quad32) (va_in_ctr:quad32) (va_in_iter:nat)
(va_in_y_cur:quad32) : (va_quickCode (quad32 & nat & quad32) (va_code_Loop6x_loop_decrypt_body0
alg)) =
(va_QProc (va_code_Loop6x_loop_decrypt_body0 alg) ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7;
va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm
14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0;
va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem;
va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags])
(va_wp_Loop6x_loop_decrypt_body0 va_old alg va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b
va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur)
(va_wpProof_Loop6x_loop_decrypt_body0 va_old alg va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b
va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur))
#pop-options
//--
//-- Loop6x_loop_decrypt_while0
#push-options "--z3rlimit 700"
val va_code_Loop6x_loop_decrypt_while0 : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Loop6x_loop_decrypt_while0 alg =
(va_Block (va_CCons (va_While (va_cmp_gt (va_op_cmp_reg64 rRdx) (va_const_cmp 0)) (va_Block
(va_CCons (va_code_Loop6x_loop_decrypt_body0 alg) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Loop6x_loop_decrypt_while0 : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Loop6x_loop_decrypt_while0 alg =
(va_pbool_and (va_codegen_success_Loop6x_loop_decrypt_body0 alg) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Loop6x_loop_decrypt_while0 (va_mods:va_mods_t) (va_old:va_state) (alg:algorithm)
(va_in_ctr_BE_orig:quad32) (va_in_h_LE:quad32) (va_in_hkeys_b:buffer128) (va_in_in0_b:buffer128)
(va_in_in_b:buffer128) (va_in_iv_b:buffer128) (va_in_key_words:(seq nat32))
(va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32))
(va_in_round_keys:(seq quad32)) (va_in_scratch_b:buffer128) (va_in_y_orig:quad32)
(va_in_ctr:quad32) (va_in_iter:nat) (va_in_y_cur:quad32) : (va_quickCode (quad32 & nat & quad32)
(va_code_Loop6x_loop_decrypt_while0 alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(ctr_BE_orig:quad32) = va_in_ctr_BE_orig in let (h_LE:quad32) = va_in_h_LE in let
(hkeys_b:buffer128) = va_in_hkeys_b in let (in0_b:buffer128) = va_in_in0_b in let
(in_b:buffer128) = va_in_in_b in let (iv_b:buffer128) = va_in_iv_b in let (key_words:(seq
nat32)) = va_in_key_words in let (keys_b:buffer128) = va_in_keys_b in let (out_b:buffer128) =
va_in_out_b in let (plain_quads:(seq quad32)) = va_in_plain_quads in let (round_keys:(seq
quad32)) = va_in_round_keys in let (scratch_b:buffer128) = va_in_scratch_b in let
(y_orig:quad32) = va_in_y_orig in let (ctr:quad32) = va_in_ctr in let (iter:nat) = va_in_iter
in let (y_cur:quad32) = va_in_y_cur in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 521 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_qWhile va_mods (Cmp_gt (va_op_cmp_reg64 rRdx) (va_const_cmp 0)) (fun va_g -> let
(ctr:quad32) = let (ctr, iter, y_cur) = va_g in ctr in let (iter:nat) = let (ctr, iter, y_cur)
= va_g in iter in let (y_cur:quad32) = let (ctr, iter, y_cur) = va_g in y_cur in qblock va_mods
(fun (va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 521 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x_loop_decrypt_body0 va_old alg ctr_BE_orig h_LE hkeys_b in0_b in_b iv_b
key_words keys_b out_b plain_quads round_keys scratch_b y_orig ctr iter y_cur) (fun
(va_s:va_state) va_g -> let (ctr, iter, y_cur) = va_g in va_QEmpty ((ctr, iter, y_cur))))) (fun
(va_s:va_state) va_g -> let (ctr:quad32) = let (ctr, iter, y_cur) = va_g in ctr in let
(iter:nat) = let (ctr, iter, y_cur) = va_g in iter in let (y_cur:quad32) = let (ctr, iter,
y_cur) = va_g in y_cur in va_get_ok va_s /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx
va_s == va_get_reg64 rRdx va_old - 6 `op_Multiply` iter /\ va_get_reg64 rRdi va_s ==
va_get_reg64 rRdi va_old + 96 `op_Multiply` iter /\ va_get_reg64 rRsi va_s == va_get_reg64 rRsi
va_old + 96 `op_Multiply` iter /\ va_get_xmm 2 va_s == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2
va_s) (va_get_reg64 rR8 va_s) iv_b 1 (va_get_mem_layout va_s) Public /\ (va_get_reg64 rRdx va_s
> 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s) (va_get_reg64 rR14
va_s) in0_b ((iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` (iter +
1)) (va_get_mem_layout va_s) Secret) /\ (va_get_reg64 rRdx va_s == 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s) (va_get_reg64 rR14 va_s)
in0_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_s) Secret) /\ (va_get_reg64 rRdx va_s > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s) (va_get_reg64 rRdi va_s) in_b
(iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter) (va_get_mem_layout
va_s) Secret) /\ (va_get_reg64 rRdx va_s > 0 ==> Vale.X64.Decls.validDstAddrsOffset128
(va_get_mem_heaplet 6 va_s) (va_get_reg64 rRsi va_s) out_b (iter `op_Multiply` 6) (va_get_reg64
rRdx va_old - 6 `op_Multiply` iter) (va_get_mem_layout va_s) Secret) /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s) (va_get_reg64 rRbp va_s) scratch_b
9 (va_get_mem_layout va_s) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0
va_s) (va_get_reg64 rR9 va_s - 32) hkeys_b 8 (va_get_mem_layout va_s) Secret /\
(Vale.X64.Decls.buffers_disjoint128 in_b out_b \/ in_b == out_b) /\ in0_b == in_b /\
FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old)
in_b) >= 6 /\ (va_get_reg64 rRdx va_s > 0 ==> Vale.AES.GCTR.partial_seq_agreement plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in_b) (6 `op_Multiply` iter)
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) in_b))) /\ (va_get_reg64 rRdx va_s > 0 ==> va_get_reg64 rRdi va_s + 16 `op_Multiply`
va_get_reg64 rRdx va_s < pow2_64) /\ (va_get_reg64 rRdx va_s > 0 ==> va_get_reg64 rR14 va_s +
16 `op_Multiply` (va_get_reg64 rRdx va_s - 6) < pow2_64) /\ (va_get_reg64 rRdx va_s > 0 ==>
va_get_reg64 rRsi va_s + 16 `op_Multiply` va_get_reg64 rRdx va_s < pow2_64) /\
Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_old)
(va_get_mem_heaplet 3 va_s) 1 8 /\ Vale.X64.Decls.modifies_buffer_specific128 out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_s) 0 (iter `op_Multiply` 6 + 5) /\
(va_get_reg64 rRdx va_s == 0 ==> va_get_reg64 rRdx va_old >= 6 /\
Vale.X64.Decls.buffer_modifies_specific128 out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s) 0 (va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_s) 0 0 /\ aes_reqs_offset alg key_words round_keys keys_b
(va_get_reg64 rRcx va_s) (va_get_mem_heaplet 0 va_s) (va_get_mem_layout va_s) /\ va_get_xmm 15
va_s == FStar.Seq.Base.index #quad32 round_keys 0 /\ pclmulqdq_enabled /\ h_LE ==
Vale.AES.AES_s.aes_encrypt_LE alg key_words (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s)
hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ (va_get_reg64 rRdx va_s > 0 ==>
scratch_reqs scratch_b iter (va_get_mem_heaplet 3 va_s) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) in0_b) (va_get_xmm 7 va_s)) /\ (iter `op_Multiply` 6 <=
FStar.Seq.Base.length #quad32 plain_quads ==> y_cur == Vale.AES.GHash.ghash_incremental0 h_LE
y_orig (FStar.Seq.Base.slice #quad32 plain_quads 0 (iter `op_Multiply` 6))) /\ (va_get_reg64
rRdx va_s > 0 ==> y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_s)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_s)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read scratch_b 1
(va_get_mem_heaplet 3 va_s)))))) /\ (va_get_reg64 rRdx va_s == 0 ==> va_get_xmm 8 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ va_get_reg64 rRdx va_s `op_Modulus` 6 == 0 /\
va_get_reg64 rRdx va_s < pow2_32 /\ (6 <= va_get_reg64 rRdx va_old /\ va_get_reg64 rRdx va_old
+ 6 < pow2_32) /\ iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64 rRdx va_s > 0 ==>
va_get_reg64 rRdx va_s >= 6) /\ ctr == Vale.AES.GCTR.inc32lite ctr_BE_orig (iter `op_Multiply`
6) /\ va_get_xmm 2 va_s == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
va_get_xmm 1 va_s == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\
va_get_reg64 rRbx va_s == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256 /\
(va_get_reg64 rRdx va_s > 0 ==> va_get_xmm 9 va_s == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_s))
/\ (va_get_reg64 rRdx va_s > 0 ==> (va_get_reg64 rRbx va_s + 6 < 256 ==> va_get_xmm 10 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ (va_get_reg64 rRdx
va_s > 0 ==> (va_get_reg64 rRbx va_s + 6 < 256 ==> va_get_xmm 11 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ (va_get_reg64 rRdx
va_s > 0 ==> (va_get_reg64 rRbx va_s + 6 < 256 ==> va_get_xmm 12 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ (va_get_reg64 rRdx
va_s > 0 ==> (va_get_reg64 rRbx va_s + 6 < 256 ==> va_get_xmm 13 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ (va_get_reg64 rRdx
va_s > 0 ==> (va_get_reg64 rRbx va_s + 6 < 256 ==> va_get_xmm 14 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ (va_get_reg64 rRdx
va_s == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s) (va_get_xmm 10 va_s) (va_get_xmm
11 va_s) (va_get_xmm 12 va_s) (va_get_xmm 13 va_s) (va_get_xmm 14 va_s) plain_quads alg
key_words ctr_BE_orig (iter - 1)) /\ (va_get_reg64 rRdx va_s > 0 ==> Vale.AES.GCTR.gctr_partial
alg (6 `op_Multiply` iter) plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b)
key_words ctr_BE_orig) /\ (va_get_reg64 rRdx va_s == 0 ==> Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (iter - 1)) plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b)
key_words ctr_BE_orig)) (fun (va_s:va_state) va_g -> let (ctr:quad32) = let (ctr, iter, y_cur)
= va_g in ctr in let (iter:nat) = let (ctr, iter, y_cur) = va_g in iter in let (y_cur:quad32) =
let (ctr, iter, y_cur) = va_g in y_cur in va_get_reg64 rRdx va_s) ((ctr, iter, y_cur))) (fun
(va_s:va_state) va_g -> let (ctr:quad32) = let (ctr, iter, y_cur) = va_g in ctr in let
(iter:nat) = let (ctr, iter, y_cur) = va_g in iter in let (y_cur:quad32) = let (ctr, iter,
y_cur) = va_g in y_cur in let va_g = (ctr, iter, y_cur) in let ((ctr:quad32), (iter:nat),
(y_cur:quad32)) = va_g in va_QEmpty ((ctr, iter, y_cur)))))
val va_lemma_Loop6x_loop_decrypt_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
alg:algorithm -> va_in_ctr_BE_orig:quad32 -> va_in_h_LE:quad32 -> va_in_hkeys_b:buffer128 ->
va_in_in0_b:buffer128 -> va_in_in_b:buffer128 -> va_in_iv_b:buffer128 -> va_in_key_words:(seq
nat32) -> va_in_keys_b:buffer128 -> va_in_out_b:buffer128 -> va_in_plain_quads:(seq quad32) ->
va_in_round_keys:(seq quad32) -> va_in_scratch_b:buffer128 -> va_in_y_orig:quad32 ->
va_in_ctr:quad32 -> va_in_iter:nat -> va_in_y_cur:quad32
-> Ghost (va_state & va_fuel & quad32 & nat & quad32)
(requires (va_require_total va_b0 (va_code_Loop6x_loop_decrypt_while0 alg) va_s0 /\ va_get_ok
va_s0 /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_s0 == va_get_reg64 rRdx va_old
- 6 `op_Multiply` va_in_iter /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old + 96
`op_Multiply` va_in_iter /\ va_get_reg64 rRsi va_s0 == va_get_reg64 rRsi va_old + 96
`op_Multiply` va_in_iter /\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2
va_s0) (va_get_reg64 rR8 va_s0) va_in_iv_b 1 (va_get_mem_layout va_s0) Public /\ (va_get_reg64
rRdx va_s0 > 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b ((va_in_iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx
va_old - 6 `op_Multiply` (va_in_iter + 1)) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64
rRdx va_s0 == 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` va_in_iter) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0
==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi
va_s0) va_in_in_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply`
va_in_iter) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
va_in_out_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply`
va_in_iter) (va_get_mem_layout va_s0) Secret) /\ Vale.X64.Decls.validDstAddrs128
(va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0) va_in_scratch_b 9 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9
va_s0 - 32) va_in_hkeys_b 8 (va_get_mem_layout va_s0) Secret /\
(Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\
va_in_in0_b == va_in_in_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_s0) va_in_in_b) (6 `op_Multiply` va_in_iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_s0 >
0 ==> va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\
(va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rR14 va_s0 + 16 `op_Multiply` (va_get_reg64 rRdx
va_s0 - 6) < pow2_64) /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128
va_in_scratch_b (va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_s0) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) 0 (va_in_iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_s0 ==
0 ==> va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_s0) 0 (va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_s0) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0)
/\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_s0) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ (va_get_reg64 rRdx va_s0 > 0 ==> scratch_reqs va_in_scratch_b va_in_iter (va_get_mem_heaplet
3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in0_b) (va_get_xmm 7 va_s0))
/\ (va_in_iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==>
va_in_y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice
#quad32 va_in_plain_quads 0 (va_in_iter `op_Multiply` 6))) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
va_in_y_cur == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add
(add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s0))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
va_in_scratch_b 1 (va_get_mem_heaplet 3 va_s0)))))) /\ (va_get_reg64 rRdx va_s0 == 0 ==>
va_get_xmm 8 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 va_in_y_cur) /\ va_get_reg64 rRdx
va_s0 `op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ (6 <= va_get_reg64 rRdx
va_old /\ va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_iter `op_Multiply` 6 + 6 < pow2_32
/\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRdx va_s0 >= 6) /\ va_in_ctr ==
Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (va_in_iter `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 0) /\ va_get_reg64
rRbx va_s0 == va_in_ctr.lo0 `op_Modulus` 256 /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite va_in_ctr 0)) (va_get_xmm 15 va_s0)) /\ (va_get_reg64 rRdx va_s0 > 0
==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 10 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 1))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 2))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 3))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 4))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 5))) /\ (va_get_reg64
rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s0) (va_get_xmm 10 va_s0)
(va_get_xmm 11 va_s0) (va_get_xmm 12 va_s0) (va_get_xmm 13 va_s0) (va_get_xmm 14 va_s0)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_iter - 1)) /\ (va_get_reg64 rRdx
va_s0 > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_iter) va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_out_b) va_in_key_words
va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (va_in_iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_s0) va_in_out_b) va_in_key_words va_in_ctr_BE_orig)))
(ensures (fun (va_sM, va_fM, ctr, iter, y_cur) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_sM == va_get_reg64
rRdx va_old - 6 `op_Multiply` iter /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96
`op_Multiply` iter /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply`
iter /\ va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public /\ (va_get_reg64 rRdx va_sM > 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b ((iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` (iter +
1)) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM == 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRdi va_sM)
va_in_in_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRsi va_sM)
va_in_out_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3
va_sM) (va_get_reg64 rRbp va_sM) va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret /\
Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32)
va_in_hkeys_b 8 (va_get_mem_layout va_sM) Secret /\ (Vale.X64.Decls.buffers_disjoint128
va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ va_in_in0_b == va_in_in_b /\
FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old)
va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.partial_seq_agreement
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in_b) (6
`op_Multiply` iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64
rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64 rRdx va_sM >
0 ==> va_get_reg64 rR14 va_sM + 16 `op_Multiply` (va_get_reg64 rRdx va_sM - 6) < pow2_64) /\
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b
(va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_sM) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) 0 (iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_sM == 0 ==>
va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) 0 (va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)
/\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_sM) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ (va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b iter (va_get_mem_heaplet 3
va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\
(iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==> y_cur ==
Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice #quad32
va_in_plain_quads 0 (iter `op_Multiply` 6))) /\ (va_get_reg64 rRdx va_sM > 0 ==> y_cur ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_sM))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
va_in_scratch_b 1 (va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==>
va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ va_get_reg64 rRdx va_sM
`op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_sM < pow2_32 /\ (6 <= va_get_reg64 rRdx va_old /\
va_get_reg64 rRdx va_old + 6 < pow2_32) /\ iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_reg64 rRdx va_sM >= 6) /\ ctr == Vale.AES.GCTR.inc32lite
va_in_ctr_BE_orig (iter `op_Multiply` 6) /\ va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\ va_get_reg64 rRbx
va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256 /\ (va_get_reg64 rRdx
va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ (va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM
== Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ (va_get_reg64
rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ (va_get_reg64 rRdx
va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm 10 va_sM)
(va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14 va_sM)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (iter - 1)) /\ (va_get_reg64 rRdx va_sM
> 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` iter) va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b) va_in_key_words
va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ ~(va_get_reg64 rRdx va_sM > 0) /\
va_state_eq va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM
(va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM
(va_update_xmm 2 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM
(va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 1 va_sM
(va_update_xmm 0 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRdi va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM
(va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_ok va_sM (va_update_mem
va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2
va_sM (va_update_flags va_sM va_s0))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Loop6x_loop_decrypt_while0 va_b0 va_s0 va_old alg va_in_ctr_BE_orig va_in_h_LE
va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b
va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags] in
let va_qc = va_qcode_Loop6x_loop_decrypt_while0 va_mods va_old alg va_in_ctr_BE_orig va_in_h_LE
va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b
va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter
va_in_y_cur in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Loop6x_loop_decrypt_while0 alg) va_qc
va_s0 (fun va_s0 va_sM va_g -> let (ctr, iter, y_cur) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 521 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 653 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(sse_enabled /\ movbe_enabled) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 655 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_old - 6 `op_Multiply` iter) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 658 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96 `op_Multiply` iter) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 659 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 661 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 664 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 666 column 121 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rR14 va_sM) va_in_in0_b ((iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx
va_old - 6 `op_Multiply` (iter + 1)) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 669 column 114 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rR14 va_sM) va_in_in0_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` iter) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 671 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rRdi va_sM) va_in_in_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` iter) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 672 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rRsi va_sM) va_in_out_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` iter) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 674 column 74 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_sM) (va_get_reg64 rRbp va_sM)
va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 675 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32)
va_in_hkeys_b 8 (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 676 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 677 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_in0_b == va_in_in_b) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 679 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) va_in_in_b) >= 6) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 680 column 118 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in_b) (6 `op_Multiply` iter)
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) va_in_in_b))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 681 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 682 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rR14 va_sM + 16 `op_Multiply` (va_get_reg64 rRdx
va_sM - 6) < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 683 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 685 column 76 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b (va_get_mem_heaplet 3 va_old)
(va_get_mem_heaplet 3 va_sM) 1 8) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 686 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) 0 (iter `op_Multiply` 6 + 5)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 687 column 117 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_reg64 rRdx va_old >= 6 /\
Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) 0 (va_get_reg64 rRdx va_old - 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 688 column 74 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 691 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(aes_reqs_offset alg va_in_key_words va_in_round_keys va_in_keys_b (va_get_reg64 rRcx va_sM)
(va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 692 column 43 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 695 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
pclmulqdq_enabled /\ label va_range1
"***** POSTCONDITION NOT MET AT line 696 column 71 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 697 column 78 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_sM)
va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 698 column 85 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b iter (va_get_mem_heaplet 3 va_sM)
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 699 column 123 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==> y_cur ==
Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice #quad32
va_in_plain_quads 0 (iter `op_Multiply` 6))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 701 column 107 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_sM)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_sM)))))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 702 column 59 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
y_cur) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 705 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM `op_Modulus` 6 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 706 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 707 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(6 <= va_get_reg64 rRdx va_old /\ va_get_reg64 rRdx va_old + 6 < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 708 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(iter `op_Multiply` 6 + 6 < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 709 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdx va_sM >= 6) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 710 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (iter `op_Multiply` 6)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 711 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 712 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 713 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 715 column 94 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 717 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 718 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 719 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 720 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 721 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 724 column 90 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm
10 va_sM) (va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14
va_sM) va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (iter - 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 727 column 107 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` iter)
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 728 column 118 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` (iter - 1))
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 521 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(~(va_get_reg64 rRdx va_sM > 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags]) va_sM va_s0;
let (ctr, iter, y_cur) = va_g in
(va_sM, va_fM, ctr, iter, y_cur)
[@ va_qattr]
let va_wp_Loop6x_loop_decrypt_while0 (va_old:va_state) (alg:algorithm) (va_in_ctr_BE_orig:quad32)
(va_in_h_LE:quad32) (va_in_hkeys_b:buffer128) (va_in_in0_b:buffer128) (va_in_in_b:buffer128)
(va_in_iv_b:buffer128) (va_in_key_words:(seq nat32)) (va_in_keys_b:buffer128)
(va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32)) (va_in_round_keys:(seq quad32))
(va_in_scratch_b:buffer128) (va_in_y_orig:quad32) (va_in_ctr:quad32) (va_in_iter:nat)
(va_in_y_cur:quad32) (va_s0:va_state) (va_k:(va_state -> (quad32 & nat & quad32) -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_s0 == va_get_reg64
rRdx va_old - 6 `op_Multiply` va_in_iter /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old
+ 96 `op_Multiply` va_in_iter /\ va_get_reg64 rRsi va_s0 == va_get_reg64 rRsi va_old + 96
`op_Multiply` va_in_iter /\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2
va_s0) (va_get_reg64 rR8 va_s0) va_in_iv_b 1 (va_get_mem_layout va_s0) Public /\ (va_get_reg64
rRdx va_s0 > 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b ((va_in_iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx
va_old - 6 `op_Multiply` (va_in_iter + 1)) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64
rRdx va_s0 == 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` va_in_iter) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0
==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi
va_s0) va_in_in_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply`
va_in_iter) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
va_in_out_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply`
va_in_iter) (va_get_mem_layout va_s0) Secret) /\ Vale.X64.Decls.validDstAddrs128
(va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0) va_in_scratch_b 9 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9
va_s0 - 32) va_in_hkeys_b 8 (va_get_mem_layout va_s0) Secret /\
(Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\
va_in_in0_b == va_in_in_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_s0) va_in_in_b) (6 `op_Multiply` va_in_iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_s0 >
0 ==> va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\
(va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rR14 va_s0 + 16 `op_Multiply` (va_get_reg64 rRdx
va_s0 - 6) < pow2_64) /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128
va_in_scratch_b (va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_s0) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) 0 (va_in_iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_s0 ==
0 ==> va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_s0) 0 (va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_s0) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0)
/\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_s0) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ (va_get_reg64 rRdx va_s0 > 0 ==> scratch_reqs va_in_scratch_b va_in_iter (va_get_mem_heaplet
3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in0_b) (va_get_xmm 7 va_s0))
/\ (va_in_iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==>
va_in_y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice
#quad32 va_in_plain_quads 0 (va_in_iter `op_Multiply` 6))) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
va_in_y_cur == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add
(add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s0))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
va_in_scratch_b 1 (va_get_mem_heaplet 3 va_s0)))))) /\ (va_get_reg64 rRdx va_s0 == 0 ==>
va_get_xmm 8 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 va_in_y_cur) /\ va_get_reg64 rRdx
va_s0 `op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ (6 <= va_get_reg64 rRdx
va_old /\ va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_iter `op_Multiply` 6 + 6 < pow2_32
/\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRdx va_s0 >= 6) /\ va_in_ctr ==
Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (va_in_iter `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 0) /\ va_get_reg64
rRbx va_s0 == va_in_ctr.lo0 `op_Modulus` 256 /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite va_in_ctr 0)) (va_get_xmm 15 va_s0)) /\ (va_get_reg64 rRdx va_s0 > 0
==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 10 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 1))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 2))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 3))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 4))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 5))) /\ (va_get_reg64
rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s0) (va_get_xmm 10 va_s0)
(va_get_xmm 11 va_s0) (va_get_xmm 12 va_s0) (va_get_xmm 13 va_s0) (va_get_xmm 14 va_s0)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_iter - 1)) /\ (va_get_reg64 rRdx
va_s0 > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_iter) va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_out_b) va_in_key_words
va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (va_in_iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_s0) va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ (forall (va_x_efl:Vale.X64.Flags.t)
(va_x_heap2:vale_heap) (va_x_heap3:vale_heap) (va_x_heap6:vale_heap) (va_x_mem:vale_heap)
(va_x_ok:bool) (va_x_r11:nat64) (va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64)
(va_x_rbx:nat64) (va_x_rdi:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (va_x_xmm0:quad32)
(va_x_xmm1:quad32) (va_x_xmm10:quad32) (va_x_xmm11:quad32) (va_x_xmm12:quad32)
(va_x_xmm13:quad32) (va_x_xmm14:quad32) (va_x_xmm15:quad32) (va_x_xmm2:quad32)
(va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32) (va_x_xmm7:quad32)
(va_x_xmm8:quad32) (va_x_xmm9:quad32) (ctr:quad32) (iter:nat) (y_cur:quad32) . let va_sM =
va_upd_xmm 9 va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6 va_x_xmm6
(va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2
(va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13 va_x_xmm13 (va_upd_xmm 12
va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 1 va_x_xmm1
(va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRdi va_x_rdi (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13
va_x_r13 (va_upd_reg64 rR12 va_x_r12 (va_upd_reg64 rR11 va_x_r11 (va_upd_ok va_x_ok (va_upd_mem
va_x_mem (va_upd_mem_heaplet 6 va_x_heap6 (va_upd_mem_heaplet 3 va_x_heap3 (va_upd_mem_heaplet
2 va_x_heap2 (va_upd_flags va_x_efl va_s0))))))))))))))))))))))))))))) in va_get_ok va_sM /\
(sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_old - 6
`op_Multiply` iter /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96 `op_Multiply`
iter /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter /\
va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public /\ (va_get_reg64 rRdx va_sM > 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b ((iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` (iter +
1)) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM == 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRdi va_sM)
va_in_in_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRsi va_sM)
va_in_out_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3
va_sM) (va_get_reg64 rRbp va_sM) va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret /\
Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32)
va_in_hkeys_b 8 (va_get_mem_layout va_sM) Secret /\ (Vale.X64.Decls.buffers_disjoint128
va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ va_in_in0_b == va_in_in_b /\
FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old)
va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.partial_seq_agreement
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in_b) (6
`op_Multiply` iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64
rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64 rRdx va_sM >
0 ==> va_get_reg64 rR14 va_sM + 16 `op_Multiply` (va_get_reg64 rRdx va_sM - 6) < pow2_64) /\
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b
(va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_sM) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) 0 (iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_sM == 0 ==>
va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) 0 (va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)
/\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_sM) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ (va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b iter (va_get_mem_heaplet 3
va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\
(iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==> y_cur ==
Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice #quad32
va_in_plain_quads 0 (iter `op_Multiply` 6))) /\ (va_get_reg64 rRdx va_sM > 0 ==> y_cur ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_sM))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
va_in_scratch_b 1 (va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==>
va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ va_get_reg64 rRdx va_sM
`op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_sM < pow2_32 /\ (6 <= va_get_reg64 rRdx va_old /\
va_get_reg64 rRdx va_old + 6 < pow2_32) /\ iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_reg64 rRdx va_sM >= 6) /\ ctr == Vale.AES.GCTR.inc32lite
va_in_ctr_BE_orig (iter `op_Multiply` 6) /\ va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\ va_get_reg64 rRbx
va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256 /\ (va_get_reg64 rRdx
va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ (va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM
== Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ (va_get_reg64
rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ (va_get_reg64 rRdx
va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm 10 va_sM)
(va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14 va_sM)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (iter - 1)) /\ (va_get_reg64 rRdx va_sM
> 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` iter) va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b) va_in_key_words
va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ ~(va_get_reg64 rRdx va_sM > 0) ==> va_k
va_sM ((ctr, iter, y_cur))))
val va_wpProof_Loop6x_loop_decrypt_while0 : va_old:va_state -> alg:algorithm ->
va_in_ctr_BE_orig:quad32 -> va_in_h_LE:quad32 -> va_in_hkeys_b:buffer128 -> va_in_in0_b:buffer128
-> va_in_in_b:buffer128 -> va_in_iv_b:buffer128 -> va_in_key_words:(seq nat32) ->
va_in_keys_b:buffer128 -> va_in_out_b:buffer128 -> va_in_plain_quads:(seq quad32) ->
va_in_round_keys:(seq quad32) -> va_in_scratch_b:buffer128 -> va_in_y_orig:quad32 ->
va_in_ctr:quad32 -> va_in_iter:nat -> va_in_y_cur:quad32 -> va_s0:va_state -> va_k:(va_state ->
(quad32 & nat & quad32) -> Type0)
-> Ghost (va_state & va_fuel & (quad32 & nat & quad32))
(requires (va_t_require va_s0 /\ va_wp_Loop6x_loop_decrypt_while0 va_old alg va_in_ctr_BE_orig
va_in_h_LE va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b
va_in_out_b va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr
va_in_iter va_in_y_cur va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Loop6x_loop_decrypt_while0 alg)
([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4;
va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12;
va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx;
va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 3;
va_Mod_mem_heaplet 2; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Loop6x_loop_decrypt_while0 va_old alg va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b
va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur va_s0 va_k =
let (va_sM, va_f0, ctr, iter, y_cur) = va_lemma_Loop6x_loop_decrypt_while0
(va_code_Loop6x_loop_decrypt_while0 alg) va_s0 va_old alg va_in_ctr_BE_orig va_in_h_LE
va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b
va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter
va_in_y_cur in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM
(va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM
(va_update_xmm 2 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM
(va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 1 va_sM
(va_update_xmm 0 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRdi va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM
(va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_ok va_sM (va_update_mem
va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2
va_sM (va_update_flags va_sM va_s0)))))))))))))))))))))))))))))));
va_lemma_norm_mods ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags]) va_sM va_s0;
let va_g = (ctr, iter, y_cur) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Loop6x_loop_decrypt_while0 (va_old:va_state) (alg:algorithm)
(va_in_ctr_BE_orig:quad32) (va_in_h_LE:quad32) (va_in_hkeys_b:buffer128) (va_in_in0_b:buffer128)
(va_in_in_b:buffer128) (va_in_iv_b:buffer128) (va_in_key_words:(seq nat32))
(va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32))
(va_in_round_keys:(seq quad32)) (va_in_scratch_b:buffer128) (va_in_y_orig:quad32)
(va_in_ctr:quad32) (va_in_iter:nat) (va_in_y_cur:quad32) : (va_quickCode (quad32 & nat & quad32)
(va_code_Loop6x_loop_decrypt_while0 alg)) =
(va_QProc (va_code_Loop6x_loop_decrypt_while0 alg) ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7;
va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm
14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0;
va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem;
va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags])
(va_wp_Loop6x_loop_decrypt_while0 va_old alg va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b
va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur)
(va_wpProof_Loop6x_loop_decrypt_while0 va_old alg va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b
va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur))
#pop-options
//--
//-- Loop6x_loop_decrypt
#push-options "--z3rlimit 700"
val va_code_Loop6x_loop_decrypt : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Loop6x_loop_decrypt alg =
(va_Block (va_CCons (va_IfElse (va_cmp_eq (va_op_cmp_reg64 rRdx) (va_const_cmp 6)) (va_Block
(va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR14) (va_const_opr64 96)) (va_CNil ())))
(va_Block (va_CNil ()))) (va_CCons (va_code_Loop6x_loop_decrypt_while0 alg) (va_CNil ()))))
val va_codegen_success_Loop6x_loop_decrypt : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Loop6x_loop_decrypt alg =
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR14) (va_const_opr64 96))
(va_pbool_and (va_codegen_success_Loop6x_loop_decrypt_while0 alg) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Loop6x_loop_decrypt (va_mods:va_mods_t) (alg:algorithm) (h_LE:quad32) (y_orig:quad32)
(y_prev:quad32) (iv_b:buffer128) (in0_b:buffer128) (in_b:buffer128) (out_b:buffer128)
(scratch_b:buffer128) (key_words:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128)
(hkeys_b:buffer128) (ctr_BE_orig:quad32) (ctr_BE:quad32) : (va_quickCode (quad32)
(va_code_Loop6x_loop_decrypt alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (iter:nat) = 0 in
let (ctr:quad32) = ctr_BE in let (y_cur:quad32) = y_prev in let (plain_quads:(seq quad32)) =
Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in_b in let (va_arg44:Vale.Def.Types_s.quad32)
= ctr_BE_orig in let (va_arg43:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = key_words in let
(va_arg42:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) out_b in let (va_arg41:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = plain_quads in let (va_arg40:Vale.AES.AES_common_s.algorithm) = alg
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 645 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_partial_opaque_init va_arg40 va_arg41 va_arg42 va_arg43
va_arg44) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 648 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_qIf va_mods (Cmp_eq (va_op_cmp_reg64 rRdx) (va_const_cmp 6)) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 649 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rR14) (va_const_opr64 96)) (va_QEmpty (())))) (qblock
va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 651 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x_loop_decrypt_while0 va_old_s alg ctr_BE_orig h_LE hkeys_b in0_b in_b iv_b
key_words keys_b out_b plain_quads round_keys scratch_b y_orig ctr iter y_cur) (fun
(va_s:va_state) va_g -> let (ctr, iter, y_cur) = va_g in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 738 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_registers_reveal ()) (let (y_new:quad32) = y_cur in
va_QEmpty ((y_new))))))))
val va_lemma_Loop6x_loop_decrypt : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> h_LE:quad32
-> y_orig:quad32 -> y_prev:quad32 -> iv_b:buffer128 -> in0_b:buffer128 -> in_b:buffer128 ->
out_b:buffer128 -> scratch_b:buffer128 -> key_words:(seq nat32) -> round_keys:(seq quad32) ->
keys_b:buffer128 -> hkeys_b:buffer128 -> ctr_BE_orig:quad32 -> ctr_BE:quad32
-> Ghost (va_state & va_fuel & quad32)
(requires (va_require_total va_b0 (va_code_Loop6x_loop_decrypt alg) va_s0 /\ va_get_ok va_s0 /\
(sse_enabled /\ movbe_enabled /\ (6 <= va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRdx va_s0 + 6 <
pow2_32) /\ va_get_reg64 rRdx va_s0 `op_Modulus` 6 == 0 /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_s0) (va_get_reg64 rR8 va_s0) iv_b 1
(va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_s0) (va_get_reg64 rR14 va_s0) in0_b 6 (va_get_reg64 rRdx va_s0 - 6) (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rRdi va_s0) in_b 0 (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
out_b 0 (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0)
Secret /\ (Vale.X64.Decls.buffers_disjoint128 in_b out_b \/ in_b == out_b) /\ in0_b == in_b /\
va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64
rR14 va_s0 + 16 `op_Multiply` (va_get_reg64 rRdx va_s0 - 6) < pow2_64 /\ va_get_reg64 rRsi
va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ aes_reqs_offset alg key_words
round_keys keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout
va_s0) /\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32 round_keys 0 /\ pclmulqdq_enabled
/\ h_LE == Vale.AES.AES_s.aes_encrypt_LE alg key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\
scratch_reqs scratch_b 0 (va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_s0) in0_b) (va_get_xmm 7 va_s0) /\ y_prev == y_orig /\ y_prev ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s0))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
scratch_b 1 (va_get_mem_heaplet 3 va_s0))))) /\ ctr_BE == Vale.AES.GCTR.inc32lite ctr_BE_orig 0
/\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
va_get_xmm 1 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 0)
/\ va_get_reg64 rRbx va_s0 == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_BE `op_Modulus`
256 /\ va_get_xmm 9 va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 0)) (va_get_xmm 15 va_s0) /\ (va_get_reg64 rRbx va_s0 + 6 < 256
==> va_get_xmm 10 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 1)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 2)) /\ (va_get_reg64 rRbx
va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 3)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13
va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 4)) /\
(va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 5)))))
(ensures (fun (va_sM, va_fM, y_new) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM
/\ (Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 8 /\ l_and (va_get_reg64 rRdx va_s0 - 1 > 0)
(Vale.X64.Decls.modifies_buffer_specific128 out_b (va_get_mem_heaplet 6 va_s0)
(va_get_mem_heaplet 6 va_sM) 0 (va_get_reg64 rRdx va_s0 - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 iv_b (va_get_mem_heaplet 2 va_s0)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 + 16
`op_Multiply` va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 +
16 `op_Multiply` va_get_reg64 rRdx va_s0 /\ l_and (va_get_reg64 rRdx va_s0 - 6 >= 0)
(Vale.AES.GCTR.gctr_partial alg (va_get_reg64 rRdx va_s0 - 6) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) in_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out_b)
key_words ctr_BE_orig) /\ va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 0) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6))) /\ va_get_xmm 10 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 1) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 1))) /\ va_get_xmm 11 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 2) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 2))) /\ va_get_xmm 12 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 3) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 3))) /\ va_get_xmm 13 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 4) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 4))) /\ va_get_xmm 14 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 5) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 5))) /\ y_new == Vale.AES.GHash.ghash_incremental0 h_LE y_orig
(FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0)
in_b) 0 (va_get_reg64 rRdx va_s0)) /\ va_get_xmm 8 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 y_new /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE (va_get_reg64 rRdx
va_s0))) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 3 va_sM
(va_update_mem_heaplet 2 va_sM (va_update_mem_heaplet 6 va_sM (va_update_xmm 15 va_sM
(va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM
(va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM
(va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM
(va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR14
va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRsi va_sM
(va_update_reg64 rRdi va_sM (va_update_ok va_sM (va_update_mem va_sM
va_s0))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Loop6x_loop_decrypt va_b0 va_s0 alg h_LE y_orig y_prev iv_b in0_b in_b out_b scratch_b
key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2;
va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm
11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14;
va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_Loop6x_loop_decrypt va_mods alg h_LE y_orig y_prev iv_b in0_b in_b out_b
scratch_b key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Loop6x_loop_decrypt alg) va_qc va_s0
(fun va_s0 va_sM va_g -> let y_new = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 521 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ (label va_range1
"***** POSTCONDITION NOT MET AT line 614 column 72 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 8) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 615 column 103 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(l_and (va_get_reg64 rRdx va_s0 - 1 > 0) (Vale.X64.Decls.modifies_buffer_specific128 out_b
(va_get_mem_heaplet 6 va_s0) (va_get_mem_heaplet 6 va_sM) 0 (va_get_reg64 rRdx va_s0 - 1))) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 616 column 67 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 iv_b (va_get_mem_heaplet 2 va_s0)
(va_get_mem_heaplet 2 va_sM) 0 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 621 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 622 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 625 column 135 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(l_and (va_get_reg64 rRdx va_s0 - 6 >= 0) (Vale.AES.GCTR.gctr_partial alg (va_get_reg64 rRdx
va_s0 - 6) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in_b) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) out_b) key_words ctr_BE_orig)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 627 column 149 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b
(va_get_reg64 rRdx va_s0 - 6 + 0) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (va_get_reg64 rRdx va_s0 - 6)))) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 628 column 153 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 10 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b
(va_get_reg64 rRdx va_s0 - 6 + 1) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (va_get_reg64 rRdx va_s0 - 6 + 1)))) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 629 column 153 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 11 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b
(va_get_reg64 rRdx va_s0 - 6 + 2) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (va_get_reg64 rRdx va_s0 - 6 + 2)))) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 630 column 153 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 12 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b
(va_get_reg64 rRdx va_s0 - 6 + 3) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (va_get_reg64 rRdx va_s0 - 6 + 3)))) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 631 column 153 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 13 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b
(va_get_reg64 rRdx va_s0 - 6 + 4) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (va_get_reg64 rRdx va_s0 - 6 + 4)))) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 632 column 153 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 14 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b
(va_get_reg64 rRdx va_s0 - 6 + 5) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (va_get_reg64 rRdx va_s0 - 6 + 5)))) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 635 column 89 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(y_new == Vale.AES.GHash.ghash_incremental0 h_LE y_orig (FStar.Seq.Base.slice
#Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in_b) 0 (va_get_reg64
rRdx va_s0))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 636 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_new) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 639 column 64 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE
(va_get_reg64 rRdx va_s0))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet
6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10;
va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm
3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_reg64
rRdi; va_Mod_ok; va_Mod_mem]) va_sM va_s0;
let y_new = va_g in
(va_sM, va_fM, y_new)
[@ va_qattr]
let va_wp_Loop6x_loop_decrypt (alg:algorithm) (h_LE:quad32) (y_orig:quad32) (y_prev:quad32)
(iv_b:buffer128) (in0_b:buffer128) (in_b:buffer128) (out_b:buffer128) (scratch_b:buffer128)
(key_words:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128)
(ctr_BE_orig:quad32) (ctr_BE:quad32) (va_s0:va_state) (va_k:(va_state -> quad32 -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ movbe_enabled /\ (6 <= va_get_reg64 rRdx va_s0 /\
va_get_reg64 rRdx va_s0 + 6 < pow2_32) /\ va_get_reg64 rRdx va_s0 `op_Modulus` 6 == 0 /\
va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_s0) (va_get_reg64 rR8 va_s0) iv_b 1
(va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_s0) (va_get_reg64 rR14 va_s0) in0_b 6 (va_get_reg64 rRdx va_s0 - 6) (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rRdi va_s0) in_b 0 (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
out_b 0 (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0)
Secret /\ (Vale.X64.Decls.buffers_disjoint128 in_b out_b \/ in_b == out_b) /\ in0_b == in_b /\
va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64
rR14 va_s0 + 16 `op_Multiply` (va_get_reg64 rRdx va_s0 - 6) < pow2_64 /\ va_get_reg64 rRsi
va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ aes_reqs_offset alg key_words
round_keys keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout
va_s0) /\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32 round_keys 0 /\ pclmulqdq_enabled
/\ h_LE == Vale.AES.AES_s.aes_encrypt_LE alg key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\
scratch_reqs scratch_b 0 (va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_s0) in0_b) (va_get_xmm 7 va_s0) /\ y_prev == y_orig /\ y_prev ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s0))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
scratch_b 1 (va_get_mem_heaplet 3 va_s0))))) /\ ctr_BE == Vale.AES.GCTR.inc32lite ctr_BE_orig 0
/\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
va_get_xmm 1 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 0)
/\ va_get_reg64 rRbx va_s0 == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_BE `op_Modulus`
256 /\ va_get_xmm 9 va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 0)) (va_get_xmm 15 va_s0) /\ (va_get_reg64 rRbx va_s0 + 6 < 256
==> va_get_xmm 10 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 1)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 2)) /\ (va_get_reg64 rRbx
va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 3)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13
va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 4)) /\
(va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 5))) /\ (forall
(va_x_mem:vale_heap) (va_x_rdi:nat64) (va_x_rsi:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64)
(va_x_r11:nat64) (va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_xmm0:quad32)
(va_x_xmm1:quad32) (va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32)
(va_x_xmm6:quad32) (va_x_xmm7:quad32) (va_x_xmm8:quad32) (va_x_xmm9:quad32) (va_x_xmm10:quad32)
(va_x_xmm11:quad32) (va_x_xmm12:quad32) (va_x_xmm13:quad32) (va_x_xmm14:quad32)
(va_x_xmm15:quad32) (va_x_heap6:vale_heap) (va_x_heap2:vale_heap) (va_x_heap3:vale_heap)
(va_x_efl:Vale.X64.Flags.t) (y_new:quad32) . let va_sM = va_upd_flags va_x_efl
(va_upd_mem_heaplet 3 va_x_heap3 (va_upd_mem_heaplet 2 va_x_heap2 (va_upd_mem_heaplet 6
va_x_heap6 (va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13 va_x_xmm13
(va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 9
va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5
va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 1
va_x_xmm1 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13
(va_upd_reg64 rR12 va_x_r12 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdi va_x_rdi (va_upd_mem
va_x_mem va_s0)))))))))))))))))))))))))))) in va_get_ok va_sM /\
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 8 /\ l_and (va_get_reg64 rRdx va_s0 - 1 > 0)
(Vale.X64.Decls.modifies_buffer_specific128 out_b (va_get_mem_heaplet 6 va_s0)
(va_get_mem_heaplet 6 va_sM) 0 (va_get_reg64 rRdx va_s0 - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 iv_b (va_get_mem_heaplet 2 va_s0)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 + 16
`op_Multiply` va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 +
16 `op_Multiply` va_get_reg64 rRdx va_s0 /\ l_and (va_get_reg64 rRdx va_s0 - 6 >= 0)
(Vale.AES.GCTR.gctr_partial alg (va_get_reg64 rRdx va_s0 - 6) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) in_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out_b)
key_words ctr_BE_orig) /\ va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 0) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6))) /\ va_get_xmm 10 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 1) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 1))) /\ va_get_xmm 11 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 2) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 2))) /\ va_get_xmm 12 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 3) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 3))) /\ va_get_xmm 13 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 4) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 4))) /\ va_get_xmm 14 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 5) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 5))) /\ y_new == Vale.AES.GHash.ghash_incremental0 h_LE y_orig
(FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0)
in_b) 0 (va_get_reg64 rRdx va_s0)) /\ va_get_xmm 8 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 y_new /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE (va_get_reg64 rRdx
va_s0))) ==> va_k va_sM ((y_new))))
val va_wpProof_Loop6x_loop_decrypt : alg:algorithm -> h_LE:quad32 -> y_orig:quad32 -> y_prev:quad32
-> iv_b:buffer128 -> in0_b:buffer128 -> in_b:buffer128 -> out_b:buffer128 -> scratch_b:buffer128
-> key_words:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 ->
ctr_BE_orig:quad32 -> ctr_BE:quad32 -> va_s0:va_state -> va_k:(va_state -> quad32 -> Type0)
-> Ghost (va_state & va_fuel & quad32)
(requires (va_t_require va_s0 /\ va_wp_Loop6x_loop_decrypt alg h_LE y_orig y_prev iv_b in0_b in_b
out_b scratch_b key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Loop6x_loop_decrypt alg)
([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 6; va_Mod_xmm
15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9;
va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm
2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi;
va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Loop6x_loop_decrypt alg h_LE y_orig y_prev iv_b in0_b in_b out_b scratch_b key_words
round_keys keys_b hkeys_b ctr_BE_orig ctr_BE va_s0 va_k =
let (va_sM, va_f0, y_new) = va_lemma_Loop6x_loop_decrypt (va_code_Loop6x_loop_decrypt alg) va_s0
alg h_LE y_orig y_prev iv_b in0_b in_b out_b scratch_b key_words round_keys keys_b hkeys_b
ctr_BE_orig ctr_BE in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 3 va_sM
(va_update_mem_heaplet 2 va_sM (va_update_mem_heaplet 6 va_sM (va_update_xmm 15 va_sM
(va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM
(va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM
(va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM
(va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR14
va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRsi va_sM
(va_update_reg64 rRdi va_sM (va_update_ok va_sM (va_update_mem va_sM
va_s0)))))))))))))))))))))))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet
6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10;
va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm
3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_reg64
rRdi; va_Mod_mem]) va_sM va_s0;
let va_g = (y_new) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Loop6x_loop_decrypt (alg:algorithm) (h_LE:quad32) (y_orig:quad32) (y_prev:quad32)
(iv_b:buffer128) (in0_b:buffer128) (in_b:buffer128) (out_b:buffer128) (scratch_b:buffer128)
(key_words:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128)
(ctr_BE_orig:quad32) (ctr_BE:quad32) : (va_quickCode quad32 (va_code_Loop6x_loop_decrypt alg)) =
(va_QProc (va_code_Loop6x_loop_decrypt alg) ([va_Mod_flags; va_Mod_mem_heaplet 3;
va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7;
va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm
0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64
rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_mem])
(va_wp_Loop6x_loop_decrypt alg h_LE y_orig y_prev iv_b in0_b in_b out_b scratch_b key_words
round_keys keys_b hkeys_b ctr_BE_orig ctr_BE) (va_wpProof_Loop6x_loop_decrypt alg h_LE y_orig
y_prev iv_b in0_b in_b out_b scratch_b key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE))
#pop-options
//--
//-- Loop6x_loop_body0
#push-options "--z3rlimit 750"
val va_code_Loop6x_loop_body0 : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Loop6x_loop_body0 alg =
(va_Block (va_CCons (va_code_Loop6x alg) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))
val va_codegen_success_Loop6x_loop_body0 : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Loop6x_loop_body0 alg =
(va_pbool_and (va_codegen_success_Loop6x alg) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Loop6x_loop_body0 (va_mods:va_mods_t) (va_old:va_state) (alg:algorithm)
(va_in_count:nat) (va_in_ctr_BE_orig:quad32) (va_in_h_LE:quad32) (va_in_hkeys_b:buffer128)
(va_in_in0_b:buffer128) (va_in_in_b:buffer128) (va_in_iv_b:buffer128) (va_in_key_words:(seq
nat32)) (va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32))
(va_in_round_keys:(seq quad32)) (va_in_scratch_b:buffer128) (va_in_y_orig:quad32)
(va_in_ctr:quad32) (va_in_iter:nat) (va_in_y_cur:quad32) : (va_quickCode (quad32 & nat & quad32)
(va_code_Loop6x_loop_body0 alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (count:nat) =
va_in_count in let (ctr_BE_orig:quad32) = va_in_ctr_BE_orig in let (h_LE:quad32) = va_in_h_LE
in let (hkeys_b:buffer128) = va_in_hkeys_b in let (in0_b:buffer128) = va_in_in0_b in let
(in_b:buffer128) = va_in_in_b in let (iv_b:buffer128) = va_in_iv_b in let (key_words:(seq
nat32)) = va_in_key_words in let (keys_b:buffer128) = va_in_keys_b in let (out_b:buffer128) =
va_in_out_b in let (plain_quads:(seq quad32)) = va_in_plain_quads in let (round_keys:(seq
quad32)) = va_in_round_keys in let (scratch_b:buffer128) = va_in_scratch_b in let
(y_orig:quad32) = va_in_y_orig in let (ctr:quad32) = va_in_ctr in let (iter:nat) = va_in_iter
in let (y_cur:quad32) = va_in_y_cur in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 959 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x alg h_LE y_orig y_cur (count + iter) iv_b in0_b in_b out_b scratch_b
plain_quads key_words round_keys keys_b hkeys_b ctr_BE_orig ctr) (fun (va_s:va_state)
(y_cur:quad32) -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 961 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(iter + 1 >= 0) (fun _ -> let (iter:nat) = iter + 1 in let (ctr:quad32) = Vale.AES.GCTR_s.inc32
ctr 6 in va_QEmpty ((ctr, iter, y_cur))))))
val va_lemma_Loop6x_loop_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
alg:algorithm -> va_in_count:nat -> va_in_ctr_BE_orig:quad32 -> va_in_h_LE:quad32 ->
va_in_hkeys_b:buffer128 -> va_in_in0_b:buffer128 -> va_in_in_b:buffer128 -> va_in_iv_b:buffer128
-> va_in_key_words:(seq nat32) -> va_in_keys_b:buffer128 -> va_in_out_b:buffer128 ->
va_in_plain_quads:(seq quad32) -> va_in_round_keys:(seq quad32) -> va_in_scratch_b:buffer128 ->
va_in_y_orig:quad32 -> va_in_ctr:quad32 -> va_in_iter:nat -> va_in_y_cur:quad32
-> Ghost (va_state & va_fuel & quad32 & nat & quad32)
(requires (va_require_total va_b0 (va_code_Loop6x_loop_body0 alg) va_s0 /\ va_get_ok va_s0 /\
(sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_s0 == va_get_reg64 rRdx va_old - 6
`op_Multiply` va_in_iter /\ va_get_reg64 rR14 va_s0 == va_get_reg64 rR14 va_old + 96
`op_Multiply` va_in_iter /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old + 96
`op_Multiply` va_in_iter /\ va_get_reg64 rRsi va_s0 == va_get_reg64 rRsi va_old + 96
`op_Multiply` va_in_iter /\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2
va_s0) (va_get_reg64 rR8 va_s0) va_in_iv_b 1 (va_get_mem_layout va_s0) Public /\ (va_get_reg64
rRdx va_s0 > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b ((va_in_count - 1) `op_Multiply` 6 + va_in_iter
`op_Multiply` 6) (va_get_reg64 rRdx va_old - va_in_iter `op_Multiply` 6) (va_get_mem_layout
va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi va_s0) va_in_in_b (va_in_count `op_Multiply` 6
+ va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - va_in_iter `op_Multiply` 6)
(va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
va_in_out_b (va_in_count `op_Multiply` 6 + va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - va_in_iter `op_Multiply` 6) (va_get_mem_layout va_s0) Secret) /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
va_in_scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) va_in_hkeys_b 8 (va_get_mem_layout
va_s0) Secret /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b ==
va_in_out_b) /\ va_in_in0_b == va_in_out_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_s0
> 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in_b) (6 `op_Multiply` va_in_count + 6 `op_Multiply`
va_in_iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64
rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\ (va_get_reg64 rRdx va_s0 >
0 ==> va_get_reg64 rR14 va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\
(va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx
va_s0 < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b
(va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_s0) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 +
va_in_iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_s0 == 0 ==> va_get_reg64 rRdx va_old
>= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 +
va_get_reg64 rRdx va_old - 1)) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b
(va_get_mem_heaplet 2 va_old) (va_get_mem_heaplet 2 va_s0) 0 0 /\ aes_reqs_offset alg
va_in_key_words va_in_round_keys va_in_keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0
va_s0) (va_get_mem_layout va_s0) /\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32
va_in_round_keys 0 /\ pclmulqdq_enabled /\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg
va_in_key_words (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) /\
Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) va_in_hkeys_b)
(Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE) /\ va_in_count + va_in_iter - 2 >= 0 /\
(va_get_reg64 rRdx va_s0 > 0 ==> scratch_reqs va_in_scratch_b (va_in_count + va_in_iter - 2)
(va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in0_b)
(va_get_xmm 7 va_s0)) /\ (va_get_reg64 rRdx va_s0 == 0 ==> scratch_reqs va_in_scratch_b
(va_in_count + va_in_iter - 2) (va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in0_b) (Vale.X64.Decls.buffer128_read va_in_scratch_b 2
(va_get_mem_heaplet 3 va_s0))) /\ va_in_y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE
va_in_y_orig (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in0_b) 0 ((va_in_count + va_in_iter - 2) `op_Multiply` 6))
/\ (va_get_reg64 rRdx va_s0 > 0 ==> va_in_y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_s0)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_s0)))))) /\ (va_get_reg64 rRdx va_s0 == 0 ==> va_get_xmm 8 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 va_in_y_cur) /\ 2 <= va_in_count /\ va_get_reg64 rRdx
va_s0 `op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ (6 <= va_get_reg64 rRdx
va_old /\ va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_count
`op_Multiply` 6 + va_in_iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64 rRdx va_s0 > 0 ==>
va_get_reg64 rRdx va_s0 >= 6) /\ va_in_ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (6
`op_Multiply` va_in_count + va_in_iter `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 0) /\ va_get_reg64
rRbx va_s0 == va_in_ctr.lo0 `op_Modulus` 256 /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite va_in_ctr 0)) (va_get_xmm 15 va_s0)) /\ (va_get_reg64 rRdx va_s0 > 0
==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 10 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 1))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 2))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 3))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 4))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 5))) /\ (va_get_reg64
rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s0) (va_get_xmm 10 va_s0)
(va_get_xmm 11 va_s0) (va_get_xmm 12 va_s0) (va_get_xmm 13 va_s0) (va_get_xmm 14 va_s0)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_count + va_in_iter - 1)) /\
(va_get_reg64 rRdx va_s0 > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` va_in_iter) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_s0 == 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count + 6 `op_Multiply` (va_in_iter - 1))
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ va_get_reg64 rRdx va_s0 > 0))
(ensures (fun (va_sM, va_fM, ctr, iter, y_cur) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_sM == va_get_reg64
rRdx va_old - 6 `op_Multiply` iter /\ va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_old + 96
`op_Multiply` iter /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96 `op_Multiply`
iter /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter /\
va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b ((va_in_count - 1) `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM >
0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRdi
va_sM) va_in_in_b (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM >
0 ==> Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRsi
va_sM) va_in_out_b (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_sM) (va_get_reg64 rRbp va_sM)
va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32) va_in_hkeys_b 8 (va_get_mem_layout
va_sM) Secret /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b ==
va_in_out_b) /\ va_in_in0_b == va_in_out_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_sM
> 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in_b) (6 `op_Multiply` va_in_count + 6 `op_Multiply` iter)
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdi va_sM + 16
`op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64 rRdx va_sM > 0 ==>
va_get_reg64 rR14 va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM <
pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b (va_get_mem_heaplet 3
va_old) (va_get_mem_heaplet 3 va_sM) 1 8 /\ Vale.X64.Decls.modifies_buffer_specific128
va_in_out_b (va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) (va_in_count
`op_Multiply` 6) (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx
va_sM == 0 ==> va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128
va_in_out_b (va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) (va_in_count
`op_Multiply` 6) (va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)
/\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_sM) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ va_in_count + iter - 2 >= 0 /\ (va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b
(va_in_count + iter - 2) (va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\ (va_get_reg64 rRdx va_sM == 0 ==> scratch_reqs
va_in_scratch_b (va_in_count + iter - 2) (va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in0_b) (Vale.X64.Decls.buffer128_read va_in_scratch_b 2
(va_get_mem_heaplet 3 va_sM))) /\ y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE
va_in_y_orig (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in0_b) 0 ((va_in_count + iter - 2) `op_Multiply` 6)) /\
(va_get_reg64 rRdx va_sM > 0 ==> y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_sM)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ 2 <= va_in_count /\ va_get_reg64 rRdx va_sM
`op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_sM < pow2_32 /\ (6 <= va_get_reg64 rRdx va_old /\
va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_count
`op_Multiply` 6 + iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64 rRdx va_sM > 0 ==>
va_get_reg64 rRdx va_sM >= 6) /\ ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (6
`op_Multiply` va_in_count + iter `op_Multiply` 6) /\ va_get_xmm 2 va_sM ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\ va_get_reg64 rRbx
va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256 /\ (va_get_reg64 rRdx
va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ (va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM
== Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ (va_get_reg64
rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ (va_get_reg64 rRdx
va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm 10 va_sM)
(va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14 va_sM)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_count + iter - 1)) /\
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` iter) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_sM == 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count + 6 `op_Multiply` (iter - 1))
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ precedes_wrap (va_get_reg64 rRdx va_sM) (va_get_reg64
rRdx va_s0) /\ va_state_eq va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7
va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3
va_sM (va_update_xmm 2 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13
va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 1
va_sM (va_update_xmm 0 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRdi va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM
(va_update_ok va_sM (va_update_mem va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet
3 va_sM (va_update_mem_heaplet 2 va_sM (va_update_flags va_sM
va_s0))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Loop6x_loop_body0 va_b0 va_s0 va_old alg va_in_count va_in_ctr_BE_orig va_in_h_LE
va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b
va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags] in
let va_qc = va_qcode_Loop6x_loop_body0 va_mods va_old alg va_in_count va_in_ctr_BE_orig
va_in_h_LE va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b
va_in_out_b va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr
va_in_iter va_in_y_cur in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Loop6x_loop_body0 alg) va_qc va_s0 (fun
va_s0 va_sM va_g -> let (ctr, iter, y_cur) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 742 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 878 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(sse_enabled /\ movbe_enabled) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 880 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_old - 6 `op_Multiply` iter) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 882 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_old + 96 `op_Multiply` iter) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 883 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96 `op_Multiply` iter) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 884 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 886 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 889 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 891 column 127 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rR14 va_sM) va_in_in0_b ((va_in_count - 1) `op_Multiply` 6 + iter
`op_Multiply` 6) (va_get_reg64 rRdx va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM)
Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 892 column 123 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rRdi va_sM) va_in_in_b (va_in_count `op_Multiply` 6 + iter `op_Multiply`
6) (va_get_reg64 rRdx va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 893 column 123 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rRsi va_sM) va_in_out_b (va_in_count `op_Multiply` 6 + iter `op_Multiply`
6) (va_get_reg64 rRdx va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 895 column 74 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_sM) (va_get_reg64 rRbp va_sM)
va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 896 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32)
va_in_hkeys_b 8 (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 897 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 898 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_in0_b == va_in_out_b) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 900 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) va_in_in_b) >= 6) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 901 column 128 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in_b) (6 `op_Multiply` va_in_count + 6
`op_Multiply` iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 902 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 903 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rR14 va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 904 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 906 column 76 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b (va_get_mem_heaplet 3 va_old)
(va_get_mem_heaplet 3 va_sM) 1 8) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 907 column 95 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 + iter
`op_Multiply` 6 + 5)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 908 column 131 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_reg64 rRdx va_old >= 6 /\
Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 +
va_get_reg64 rRdx va_old - 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 909 column 74 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 912 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(aes_reqs_offset alg va_in_key_words va_in_round_keys va_in_keys_b (va_get_reg64 rRcx va_sM)
(va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 913 column 43 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 916 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
pclmulqdq_enabled /\ label va_range1
"***** POSTCONDITION NOT MET AT line 917 column 71 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 918 column 78 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_sM)
va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 920 column 34 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_count + iter - 2 >= 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 921 column 103 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b (va_in_count + iter - 2)
(va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b)
(va_get_xmm 7 va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 922 column 137 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> scratch_reqs va_in_scratch_b (va_in_count + iter - 2)
(va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b)
(Vale.X64.Decls.buffer128_read va_in_scratch_b 2 (va_get_mem_heaplet 3 va_sM))) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 924 column 112 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice
#Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b) 0
((va_in_count + iter - 2) `op_Multiply` 6))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 926 column 107 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_sM)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_sM)))))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 927 column 59 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
y_cur) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 930 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(2 <= va_in_count) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 931 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM `op_Modulus` 6 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 932 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 933 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(6 <= va_get_reg64 rRdx va_old /\ va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 <
pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 934 column 43 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_count `op_Multiply` 6 + iter `op_Multiply` 6 + 6 < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 935 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdx va_sM >= 6) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 936 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (6 `op_Multiply` va_in_count + iter
`op_Multiply` 6)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 937 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 938 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 939 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 941 column 94 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 943 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 944 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 945 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 946 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 947 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 950 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm
10 va_sM) (va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14
va_sM) va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_count + iter - 1)) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 953 column 117 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` iter) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 954 column 128 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` (iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 955 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(precedes_wrap (va_get_reg64 rRdx va_sM) (va_get_reg64 rRdx va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags]) va_sM va_s0;
let (ctr, iter, y_cur) = va_g in
(va_sM, va_fM, ctr, iter, y_cur)
[@ va_qattr]
let va_wp_Loop6x_loop_body0 (va_old:va_state) (alg:algorithm) (va_in_count:nat)
(va_in_ctr_BE_orig:quad32) (va_in_h_LE:quad32) (va_in_hkeys_b:buffer128) (va_in_in0_b:buffer128)
(va_in_in_b:buffer128) (va_in_iv_b:buffer128) (va_in_key_words:(seq nat32))
(va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32))
(va_in_round_keys:(seq quad32)) (va_in_scratch_b:buffer128) (va_in_y_orig:quad32)
(va_in_ctr:quad32) (va_in_iter:nat) (va_in_y_cur:quad32) (va_s0:va_state) (va_k:(va_state ->
(quad32 & nat & quad32) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_s0 == va_get_reg64
rRdx va_old - 6 `op_Multiply` va_in_iter /\ va_get_reg64 rR14 va_s0 == va_get_reg64 rR14 va_old
+ 96 `op_Multiply` va_in_iter /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old + 96
`op_Multiply` va_in_iter /\ va_get_reg64 rRsi va_s0 == va_get_reg64 rRsi va_old + 96
`op_Multiply` va_in_iter /\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2
va_s0) (va_get_reg64 rR8 va_s0) va_in_iv_b 1 (va_get_mem_layout va_s0) Public /\ (va_get_reg64
rRdx va_s0 > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b ((va_in_count - 1) `op_Multiply` 6 + va_in_iter
`op_Multiply` 6) (va_get_reg64 rRdx va_old - va_in_iter `op_Multiply` 6) (va_get_mem_layout
va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi va_s0) va_in_in_b (va_in_count `op_Multiply` 6
+ va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - va_in_iter `op_Multiply` 6)
(va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
va_in_out_b (va_in_count `op_Multiply` 6 + va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - va_in_iter `op_Multiply` 6) (va_get_mem_layout va_s0) Secret) /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
va_in_scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) va_in_hkeys_b 8 (va_get_mem_layout
va_s0) Secret /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b ==
va_in_out_b) /\ va_in_in0_b == va_in_out_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_s0
> 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in_b) (6 `op_Multiply` va_in_count + 6 `op_Multiply`
va_in_iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64
rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\ (va_get_reg64 rRdx va_s0 >
0 ==> va_get_reg64 rR14 va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\
(va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx
va_s0 < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b
(va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_s0) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 +
va_in_iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_s0 == 0 ==> va_get_reg64 rRdx va_old
>= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 +
va_get_reg64 rRdx va_old - 1)) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b
(va_get_mem_heaplet 2 va_old) (va_get_mem_heaplet 2 va_s0) 0 0 /\ aes_reqs_offset alg
va_in_key_words va_in_round_keys va_in_keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0
va_s0) (va_get_mem_layout va_s0) /\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32
va_in_round_keys 0 /\ pclmulqdq_enabled /\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg
va_in_key_words (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) /\
Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) va_in_hkeys_b)
(Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE) /\ va_in_count + va_in_iter - 2 >= 0 /\
(va_get_reg64 rRdx va_s0 > 0 ==> scratch_reqs va_in_scratch_b (va_in_count + va_in_iter - 2)
(va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in0_b)
(va_get_xmm 7 va_s0)) /\ (va_get_reg64 rRdx va_s0 == 0 ==> scratch_reqs va_in_scratch_b
(va_in_count + va_in_iter - 2) (va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in0_b) (Vale.X64.Decls.buffer128_read va_in_scratch_b 2
(va_get_mem_heaplet 3 va_s0))) /\ va_in_y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE
va_in_y_orig (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in0_b) 0 ((va_in_count + va_in_iter - 2) `op_Multiply` 6))
/\ (va_get_reg64 rRdx va_s0 > 0 ==> va_in_y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_s0)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_s0)))))) /\ (va_get_reg64 rRdx va_s0 == 0 ==> va_get_xmm 8 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 va_in_y_cur) /\ 2 <= va_in_count /\ va_get_reg64 rRdx
va_s0 `op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ (6 <= va_get_reg64 rRdx
va_old /\ va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_count
`op_Multiply` 6 + va_in_iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64 rRdx va_s0 > 0 ==>
va_get_reg64 rRdx va_s0 >= 6) /\ va_in_ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (6
`op_Multiply` va_in_count + va_in_iter `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 0) /\ va_get_reg64
rRbx va_s0 == va_in_ctr.lo0 `op_Modulus` 256 /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite va_in_ctr 0)) (va_get_xmm 15 va_s0)) /\ (va_get_reg64 rRdx va_s0 > 0
==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 10 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 1))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 2))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 3))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 4))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 5))) /\ (va_get_reg64
rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s0) (va_get_xmm 10 va_s0)
(va_get_xmm 11 va_s0) (va_get_xmm 12 va_s0) (va_get_xmm 13 va_s0) (va_get_xmm 14 va_s0)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_count + va_in_iter - 1)) /\
(va_get_reg64 rRdx va_s0 > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` va_in_iter) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_s0 == 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count + 6 `op_Multiply` (va_in_iter - 1))
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ va_get_reg64 rRdx va_s0 > 0 /\ (forall
(va_x_efl:Vale.X64.Flags.t) (va_x_heap2:vale_heap) (va_x_heap3:vale_heap)
(va_x_heap6:vale_heap) (va_x_mem:vale_heap) (va_x_ok:bool) (va_x_r11:nat64) (va_x_r12:nat64)
(va_x_r13:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rdi:nat64) (va_x_rdx:nat64)
(va_x_rsi:nat64) (va_x_xmm0:quad32) (va_x_xmm1:quad32) (va_x_xmm10:quad32) (va_x_xmm11:quad32)
(va_x_xmm12:quad32) (va_x_xmm13:quad32) (va_x_xmm14:quad32) (va_x_xmm15:quad32)
(va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32)
(va_x_xmm7:quad32) (va_x_xmm8:quad32) (va_x_xmm9:quad32) (ctr:quad32) (iter:nat) (y_cur:quad32)
. let va_sM = va_upd_xmm 9 va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7
(va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3
(va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13
va_x_xmm13 (va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10 va_x_xmm10
(va_upd_xmm 1 va_x_xmm1 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx
va_x_rdx (va_upd_reg64 rRdi va_x_rdi (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR12 va_x_r12 (va_upd_reg64 rR11 va_x_r11 (va_upd_ok
va_x_ok (va_upd_mem va_x_mem (va_upd_mem_heaplet 6 va_x_heap6 (va_upd_mem_heaplet 3 va_x_heap3
(va_upd_mem_heaplet 2 va_x_heap2 (va_upd_flags va_x_efl va_s0))))))))))))))))))))))))))))) in
va_get_ok va_sM /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_sM == va_get_reg64
rRdx va_old - 6 `op_Multiply` iter /\ va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_old + 96
`op_Multiply` iter /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96 `op_Multiply`
iter /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter /\
va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b ((va_in_count - 1) `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM >
0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRdi
va_sM) va_in_in_b (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM >
0 ==> Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRsi
va_sM) va_in_out_b (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_sM) (va_get_reg64 rRbp va_sM)
va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32) va_in_hkeys_b 8 (va_get_mem_layout
va_sM) Secret /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b ==
va_in_out_b) /\ va_in_in0_b == va_in_out_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_sM
> 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in_b) (6 `op_Multiply` va_in_count + 6 `op_Multiply` iter)
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdi va_sM + 16
`op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64 rRdx va_sM > 0 ==>
va_get_reg64 rR14 va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM <
pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b (va_get_mem_heaplet 3
va_old) (va_get_mem_heaplet 3 va_sM) 1 8 /\ Vale.X64.Decls.modifies_buffer_specific128
va_in_out_b (va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) (va_in_count
`op_Multiply` 6) (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx
va_sM == 0 ==> va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128
va_in_out_b (va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) (va_in_count
`op_Multiply` 6) (va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)
/\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_sM) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ va_in_count + iter - 2 >= 0 /\ (va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b
(va_in_count + iter - 2) (va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\ (va_get_reg64 rRdx va_sM == 0 ==> scratch_reqs
va_in_scratch_b (va_in_count + iter - 2) (va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in0_b) (Vale.X64.Decls.buffer128_read va_in_scratch_b 2
(va_get_mem_heaplet 3 va_sM))) /\ y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE
va_in_y_orig (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in0_b) 0 ((va_in_count + iter - 2) `op_Multiply` 6)) /\
(va_get_reg64 rRdx va_sM > 0 ==> y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_sM)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ 2 <= va_in_count /\ va_get_reg64 rRdx va_sM
`op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_sM < pow2_32 /\ (6 <= va_get_reg64 rRdx va_old /\
va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_count
`op_Multiply` 6 + iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64 rRdx va_sM > 0 ==>
va_get_reg64 rRdx va_sM >= 6) /\ ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (6
`op_Multiply` va_in_count + iter `op_Multiply` 6) /\ va_get_xmm 2 va_sM ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\ va_get_reg64 rRbx
va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256 /\ (va_get_reg64 rRdx
va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ (va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM
== Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ (va_get_reg64
rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ (va_get_reg64 rRdx
va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm 10 va_sM)
(va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14 va_sM)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_count + iter - 1)) /\
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` iter) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_sM == 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count + 6 `op_Multiply` (iter - 1))
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ precedes_wrap (va_get_reg64 rRdx va_sM) (va_get_reg64
rRdx va_s0) ==> va_k va_sM ((ctr, iter, y_cur))))
val va_wpProof_Loop6x_loop_body0 : va_old:va_state -> alg:algorithm -> va_in_count:nat ->
va_in_ctr_BE_orig:quad32 -> va_in_h_LE:quad32 -> va_in_hkeys_b:buffer128 -> va_in_in0_b:buffer128
-> va_in_in_b:buffer128 -> va_in_iv_b:buffer128 -> va_in_key_words:(seq nat32) ->
va_in_keys_b:buffer128 -> va_in_out_b:buffer128 -> va_in_plain_quads:(seq quad32) ->
va_in_round_keys:(seq quad32) -> va_in_scratch_b:buffer128 -> va_in_y_orig:quad32 ->
va_in_ctr:quad32 -> va_in_iter:nat -> va_in_y_cur:quad32 -> va_s0:va_state -> va_k:(va_state ->
(quad32 & nat & quad32) -> Type0)
-> Ghost (va_state & va_fuel & (quad32 & nat & quad32))
(requires (va_t_require va_s0 /\ va_wp_Loop6x_loop_body0 va_old alg va_in_count va_in_ctr_BE_orig
va_in_h_LE va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b
va_in_out_b va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr
va_in_iter va_in_y_cur va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Loop6x_loop_body0 alg) ([va_Mod_xmm 9;
va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm
2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10;
va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRdi;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11;
va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2;
va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Loop6x_loop_body0 va_old alg va_in_count va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b
va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur va_s0 va_k =
let (va_sM, va_f0, ctr, iter, y_cur) = va_lemma_Loop6x_loop_body0 (va_code_Loop6x_loop_body0 alg)
va_s0 va_old alg va_in_count va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b va_in_in0_b va_in_in_b
va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys
va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM
(va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM
(va_update_xmm 2 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM
(va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 1 va_sM
(va_update_xmm 0 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRdi va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM
(va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_ok va_sM (va_update_mem
va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2
va_sM (va_update_flags va_sM va_s0)))))))))))))))))))))))))))))));
va_lemma_norm_mods ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags]) va_sM va_s0;
let va_g = (ctr, iter, y_cur) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Loop6x_loop_body0 (va_old:va_state) (alg:algorithm) (va_in_count:nat)
(va_in_ctr_BE_orig:quad32) (va_in_h_LE:quad32) (va_in_hkeys_b:buffer128) (va_in_in0_b:buffer128)
(va_in_in_b:buffer128) (va_in_iv_b:buffer128) (va_in_key_words:(seq nat32))
(va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32))
(va_in_round_keys:(seq quad32)) (va_in_scratch_b:buffer128) (va_in_y_orig:quad32)
(va_in_ctr:quad32) (va_in_iter:nat) (va_in_y_cur:quad32) : (va_quickCode (quad32 & nat & quad32)
(va_code_Loop6x_loop_body0 alg)) =
(va_QProc (va_code_Loop6x_loop_body0 alg) ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm
6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14;
va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0;
va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem;
va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags])
(va_wp_Loop6x_loop_body0 va_old alg va_in_count va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b
va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur)
(va_wpProof_Loop6x_loop_body0 va_old alg va_in_count va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b
va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur))
#pop-options
//--
//-- Loop6x_loop_while0
#push-options "--z3rlimit 750"
val va_code_Loop6x_loop_while0 : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Loop6x_loop_while0 alg =
(va_Block (va_CCons (va_While (va_cmp_gt (va_op_cmp_reg64 rRdx) (va_const_cmp 0)) (va_Block
(va_CCons (va_code_Loop6x_loop_body0 alg) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Loop6x_loop_while0 : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Loop6x_loop_while0 alg =
(va_pbool_and (va_codegen_success_Loop6x_loop_body0 alg) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Loop6x_loop_while0 (va_mods:va_mods_t) (va_old:va_state) (alg:algorithm)
(va_in_count:nat) (va_in_ctr_BE_orig:quad32) (va_in_h_LE:quad32) (va_in_hkeys_b:buffer128)
(va_in_in0_b:buffer128) (va_in_in_b:buffer128) (va_in_iv_b:buffer128) (va_in_key_words:(seq
nat32)) (va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32))
(va_in_round_keys:(seq quad32)) (va_in_scratch_b:buffer128) (va_in_y_orig:quad32)
(va_in_ctr:quad32) (va_in_iter:nat) (va_in_y_cur:quad32) : (va_quickCode (quad32 & nat & quad32)
(va_code_Loop6x_loop_while0 alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (count:nat) =
va_in_count in let (ctr_BE_orig:quad32) = va_in_ctr_BE_orig in let (h_LE:quad32) = va_in_h_LE
in let (hkeys_b:buffer128) = va_in_hkeys_b in let (in0_b:buffer128) = va_in_in0_b in let
(in_b:buffer128) = va_in_in_b in let (iv_b:buffer128) = va_in_iv_b in let (key_words:(seq
nat32)) = va_in_key_words in let (keys_b:buffer128) = va_in_keys_b in let (out_b:buffer128) =
va_in_out_b in let (plain_quads:(seq quad32)) = va_in_plain_quads in let (round_keys:(seq
quad32)) = va_in_round_keys in let (scratch_b:buffer128) = va_in_scratch_b in let
(y_orig:quad32) = va_in_y_orig in let (ctr:quad32) = va_in_ctr in let (iter:nat) = va_in_iter
in let (y_cur:quad32) = va_in_y_cur in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 742 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_qWhile va_mods (Cmp_gt (va_op_cmp_reg64 rRdx) (va_const_cmp 0)) (fun va_g -> let
(ctr:quad32) = let (ctr, iter, y_cur) = va_g in ctr in let (iter:nat) = let (ctr, iter, y_cur)
= va_g in iter in let (y_cur:quad32) = let (ctr, iter, y_cur) = va_g in y_cur in qblock va_mods
(fun (va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 742 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x_loop_body0 va_old alg count ctr_BE_orig h_LE hkeys_b in0_b in_b iv_b key_words
keys_b out_b plain_quads round_keys scratch_b y_orig ctr iter y_cur) (fun (va_s:va_state) va_g
-> let (ctr, iter, y_cur) = va_g in va_QEmpty ((ctr, iter, y_cur))))) (fun (va_s:va_state) va_g
-> let (ctr:quad32) = let (ctr, iter, y_cur) = va_g in ctr in let (iter:nat) = let (ctr, iter,
y_cur) = va_g in iter in let (y_cur:quad32) = let (ctr, iter, y_cur) = va_g in y_cur in
va_get_ok va_s /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_s == va_get_reg64 rRdx
va_old - 6 `op_Multiply` iter /\ va_get_reg64 rR14 va_s == va_get_reg64 rR14 va_old + 96
`op_Multiply` iter /\ va_get_reg64 rRdi va_s == va_get_reg64 rRdi va_old + 96 `op_Multiply`
iter /\ va_get_reg64 rRsi va_s == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter /\
va_get_xmm 2 va_s == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_s) (va_get_reg64 rR8 va_s) iv_b 1
(va_get_mem_layout va_s) Public /\ (va_get_reg64 rRdx va_s > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s) (va_get_reg64 rR14 va_s)
in0_b ((count - 1) `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - iter
`op_Multiply` 6) (va_get_mem_layout va_s) Secret) /\ (va_get_reg64 rRdx va_s > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s) (va_get_reg64 rRdi va_s) in_b
(count `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - iter `op_Multiply`
6) (va_get_mem_layout va_s) Secret) /\ (va_get_reg64 rRdx va_s > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s) (va_get_reg64 rRsi va_s)
out_b (count `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - iter
`op_Multiply` 6) (va_get_mem_layout va_s) Secret) /\ Vale.X64.Decls.validDstAddrs128
(va_get_mem_heaplet 3 va_s) (va_get_reg64 rRbp va_s) scratch_b 9 (va_get_mem_layout va_s)
Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s) (va_get_reg64 rR9 va_s -
32) hkeys_b 8 (va_get_mem_layout va_s) Secret /\ (Vale.X64.Decls.buffers_disjoint128 in_b out_b
\/ in_b == out_b) /\ in0_b == out_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) in_b) >= 6 /\ (va_get_reg64 rRdx va_s > 0
==> Vale.AES.GCTR.partial_seq_agreement plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_s) in_b) (6 `op_Multiply` count + 6 `op_Multiply` iter) (FStar.Seq.Base.length
#Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) in_b))) /\
(va_get_reg64 rRdx va_s > 0 ==> va_get_reg64 rRdi va_s + 16 `op_Multiply` va_get_reg64 rRdx
va_s < pow2_64) /\ (va_get_reg64 rRdx va_s > 0 ==> va_get_reg64 rR14 va_s + 16 `op_Multiply`
va_get_reg64 rRdx va_s < pow2_64) /\ (va_get_reg64 rRdx va_s > 0 ==> va_get_reg64 rRsi va_s +
16 `op_Multiply` va_get_reg64 rRdx va_s < pow2_64) /\
Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_old)
(va_get_mem_heaplet 3 va_s) 1 8 /\ Vale.X64.Decls.modifies_buffer_specific128 out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_s) (count `op_Multiply` 6) (count
`op_Multiply` 6 + iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_s == 0 ==> va_get_reg64
rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 out_b (va_get_mem_heaplet 6
va_old) (va_get_mem_heaplet 6 va_s) (count `op_Multiply` 6) (count `op_Multiply` 6 +
va_get_reg64 rRdx va_old - 1)) /\ Vale.X64.Decls.modifies_buffer_specific128 iv_b
(va_get_mem_heaplet 2 va_old) (va_get_mem_heaplet 2 va_s) 0 0 /\ aes_reqs_offset alg key_words
round_keys keys_b (va_get_reg64 rRcx va_s) (va_get_mem_heaplet 0 va_s) (va_get_mem_layout va_s)
/\ va_get_xmm 15 va_s == FStar.Seq.Base.index #quad32 round_keys 0 /\ pclmulqdq_enabled /\ h_LE
== Vale.AES.AES_s.aes_encrypt_LE alg key_words (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32
0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s)
hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ count + iter - 2 >= 0 /\ (va_get_reg64
rRdx va_s > 0 ==> scratch_reqs scratch_b (count + iter - 2) (va_get_mem_heaplet 3 va_s)
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in0_b) (va_get_xmm 7 va_s)) /\ (va_get_reg64
rRdx va_s == 0 ==> scratch_reqs scratch_b (count + iter - 2) (va_get_mem_heaplet 3 va_s)
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in0_b) (Vale.X64.Decls.buffer128_read
scratch_b 2 (va_get_mem_heaplet 3 va_s))) /\ y_cur == Vale.AES.GHash.ghash_incremental0 h_LE
y_orig (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_s) in0_b) 0 ((count + iter - 2) `op_Multiply` 6)) /\ (va_get_reg64 rRdx va_s > 0 ==> y_cur
== Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
scratch_b 1 (va_get_mem_heaplet 3 va_s)))))) /\ (va_get_reg64 rRdx va_s == 0 ==> va_get_xmm 8
va_s == Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ 2 <= count /\ va_get_reg64 rRdx va_s
`op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_s < pow2_32 /\ (6 <= va_get_reg64 rRdx va_old /\
count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 < pow2_32) /\ count `op_Multiply` 6 + iter
`op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64 rRdx va_s > 0 ==> va_get_reg64 rRdx va_s >= 6)
/\ ctr == Vale.AES.GCTR.inc32lite ctr_BE_orig (6 `op_Multiply` count + iter `op_Multiply` 6) /\
va_get_xmm 2 va_s == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
va_get_xmm 1 va_s == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\
va_get_reg64 rRbx va_s == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256 /\
(va_get_reg64 rRdx va_s > 0 ==> va_get_xmm 9 va_s == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_s))
/\ (va_get_reg64 rRdx va_s > 0 ==> (va_get_reg64 rRbx va_s + 6 < 256 ==> va_get_xmm 10 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ (va_get_reg64 rRdx
va_s > 0 ==> (va_get_reg64 rRbx va_s + 6 < 256 ==> va_get_xmm 11 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ (va_get_reg64 rRdx
va_s > 0 ==> (va_get_reg64 rRbx va_s + 6 < 256 ==> va_get_xmm 12 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ (va_get_reg64 rRdx
va_s > 0 ==> (va_get_reg64 rRbx va_s + 6 < 256 ==> va_get_xmm 13 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ (va_get_reg64 rRdx
va_s > 0 ==> (va_get_reg64 rRbx va_s + 6 < 256 ==> va_get_xmm 14 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ (va_get_reg64 rRdx
va_s == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s) (va_get_xmm 10 va_s) (va_get_xmm
11 va_s) (va_get_xmm 12 va_s) (va_get_xmm 13 va_s) (va_get_xmm 14 va_s) plain_quads alg
key_words ctr_BE_orig (count + iter - 1)) /\ (va_get_reg64 rRdx va_s > 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` count + 6 `op_Multiply` iter) plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b) key_words ctr_BE_orig) /\ (va_get_reg64
rRdx va_s == 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` count + 6 `op_Multiply`
(iter - 1)) plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b) key_words
ctr_BE_orig)) (fun (va_s:va_state) va_g -> let (ctr:quad32) = let (ctr, iter, y_cur) = va_g in
ctr in let (iter:nat) = let (ctr, iter, y_cur) = va_g in iter in let (y_cur:quad32) = let (ctr,
iter, y_cur) = va_g in y_cur in va_get_reg64 rRdx va_s) ((ctr, iter, y_cur))) (fun
(va_s:va_state) va_g -> let (ctr:quad32) = let (ctr, iter, y_cur) = va_g in ctr in let
(iter:nat) = let (ctr, iter, y_cur) = va_g in iter in let (y_cur:quad32) = let (ctr, iter,
y_cur) = va_g in y_cur in let va_g = (ctr, iter, y_cur) in let ((ctr:quad32), (iter:nat),
(y_cur:quad32)) = va_g in va_QEmpty ((ctr, iter, y_cur)))))
val va_lemma_Loop6x_loop_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
alg:algorithm -> va_in_count:nat -> va_in_ctr_BE_orig:quad32 -> va_in_h_LE:quad32 ->
va_in_hkeys_b:buffer128 -> va_in_in0_b:buffer128 -> va_in_in_b:buffer128 -> va_in_iv_b:buffer128
-> va_in_key_words:(seq nat32) -> va_in_keys_b:buffer128 -> va_in_out_b:buffer128 ->
va_in_plain_quads:(seq quad32) -> va_in_round_keys:(seq quad32) -> va_in_scratch_b:buffer128 ->
va_in_y_orig:quad32 -> va_in_ctr:quad32 -> va_in_iter:nat -> va_in_y_cur:quad32
-> Ghost (va_state & va_fuel & quad32 & nat & quad32)
(requires (va_require_total va_b0 (va_code_Loop6x_loop_while0 alg) va_s0 /\ va_get_ok va_s0 /\
(sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_s0 == va_get_reg64 rRdx va_old - 6
`op_Multiply` va_in_iter /\ va_get_reg64 rR14 va_s0 == va_get_reg64 rR14 va_old + 96
`op_Multiply` va_in_iter /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old + 96
`op_Multiply` va_in_iter /\ va_get_reg64 rRsi va_s0 == va_get_reg64 rRsi va_old + 96
`op_Multiply` va_in_iter /\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2
va_s0) (va_get_reg64 rR8 va_s0) va_in_iv_b 1 (va_get_mem_layout va_s0) Public /\ (va_get_reg64
rRdx va_s0 > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b ((va_in_count - 1) `op_Multiply` 6 + va_in_iter
`op_Multiply` 6) (va_get_reg64 rRdx va_old - va_in_iter `op_Multiply` 6) (va_get_mem_layout
va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi va_s0) va_in_in_b (va_in_count `op_Multiply` 6
+ va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - va_in_iter `op_Multiply` 6)
(va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
va_in_out_b (va_in_count `op_Multiply` 6 + va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - va_in_iter `op_Multiply` 6) (va_get_mem_layout va_s0) Secret) /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
va_in_scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) va_in_hkeys_b 8 (va_get_mem_layout
va_s0) Secret /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b ==
va_in_out_b) /\ va_in_in0_b == va_in_out_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_s0
> 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in_b) (6 `op_Multiply` va_in_count + 6 `op_Multiply`
va_in_iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64
rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\ (va_get_reg64 rRdx va_s0 >
0 ==> va_get_reg64 rR14 va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\
(va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx
va_s0 < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b
(va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_s0) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 +
va_in_iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_s0 == 0 ==> va_get_reg64 rRdx va_old
>= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 +
va_get_reg64 rRdx va_old - 1)) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b
(va_get_mem_heaplet 2 va_old) (va_get_mem_heaplet 2 va_s0) 0 0 /\ aes_reqs_offset alg
va_in_key_words va_in_round_keys va_in_keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0
va_s0) (va_get_mem_layout va_s0) /\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32
va_in_round_keys 0 /\ pclmulqdq_enabled /\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg
va_in_key_words (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) /\
Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) va_in_hkeys_b)
(Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE) /\ va_in_count + va_in_iter - 2 >= 0 /\
(va_get_reg64 rRdx va_s0 > 0 ==> scratch_reqs va_in_scratch_b (va_in_count + va_in_iter - 2)
(va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in0_b)
(va_get_xmm 7 va_s0)) /\ (va_get_reg64 rRdx va_s0 == 0 ==> scratch_reqs va_in_scratch_b
(va_in_count + va_in_iter - 2) (va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in0_b) (Vale.X64.Decls.buffer128_read va_in_scratch_b 2
(va_get_mem_heaplet 3 va_s0))) /\ va_in_y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE
va_in_y_orig (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in0_b) 0 ((va_in_count + va_in_iter - 2) `op_Multiply` 6))
/\ (va_get_reg64 rRdx va_s0 > 0 ==> va_in_y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_s0)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_s0)))))) /\ (va_get_reg64 rRdx va_s0 == 0 ==> va_get_xmm 8 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 va_in_y_cur) /\ 2 <= va_in_count /\ va_get_reg64 rRdx
va_s0 `op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ (6 <= va_get_reg64 rRdx
va_old /\ va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_count
`op_Multiply` 6 + va_in_iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64 rRdx va_s0 > 0 ==>
va_get_reg64 rRdx va_s0 >= 6) /\ va_in_ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (6
`op_Multiply` va_in_count + va_in_iter `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 0) /\ va_get_reg64
rRbx va_s0 == va_in_ctr.lo0 `op_Modulus` 256 /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite va_in_ctr 0)) (va_get_xmm 15 va_s0)) /\ (va_get_reg64 rRdx va_s0 > 0
==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 10 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 1))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 2))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 3))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 4))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 5))) /\ (va_get_reg64
rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s0) (va_get_xmm 10 va_s0)
(va_get_xmm 11 va_s0) (va_get_xmm 12 va_s0) (va_get_xmm 13 va_s0) (va_get_xmm 14 va_s0)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_count + va_in_iter - 1)) /\
(va_get_reg64 rRdx va_s0 > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` va_in_iter) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_s0 == 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count + 6 `op_Multiply` (va_in_iter - 1))
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig)))
(ensures (fun (va_sM, va_fM, ctr, iter, y_cur) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_sM == va_get_reg64
rRdx va_old - 6 `op_Multiply` iter /\ va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_old + 96
`op_Multiply` iter /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96 `op_Multiply`
iter /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter /\
va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b ((va_in_count - 1) `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM >
0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRdi
va_sM) va_in_in_b (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM >
0 ==> Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRsi
va_sM) va_in_out_b (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_sM) (va_get_reg64 rRbp va_sM)
va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32) va_in_hkeys_b 8 (va_get_mem_layout
va_sM) Secret /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b ==
va_in_out_b) /\ va_in_in0_b == va_in_out_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_sM
> 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in_b) (6 `op_Multiply` va_in_count + 6 `op_Multiply` iter)
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdi va_sM + 16
`op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64 rRdx va_sM > 0 ==>
va_get_reg64 rR14 va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM <
pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b (va_get_mem_heaplet 3
va_old) (va_get_mem_heaplet 3 va_sM) 1 8 /\ Vale.X64.Decls.modifies_buffer_specific128
va_in_out_b (va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) (va_in_count
`op_Multiply` 6) (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx
va_sM == 0 ==> va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128
va_in_out_b (va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) (va_in_count
`op_Multiply` 6) (va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)
/\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_sM) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ va_in_count + iter - 2 >= 0 /\ (va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b
(va_in_count + iter - 2) (va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\ (va_get_reg64 rRdx va_sM == 0 ==> scratch_reqs
va_in_scratch_b (va_in_count + iter - 2) (va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in0_b) (Vale.X64.Decls.buffer128_read va_in_scratch_b 2
(va_get_mem_heaplet 3 va_sM))) /\ y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE
va_in_y_orig (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in0_b) 0 ((va_in_count + iter - 2) `op_Multiply` 6)) /\
(va_get_reg64 rRdx va_sM > 0 ==> y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_sM)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ 2 <= va_in_count /\ va_get_reg64 rRdx va_sM
`op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_sM < pow2_32 /\ (6 <= va_get_reg64 rRdx va_old /\
va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_count
`op_Multiply` 6 + iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64 rRdx va_sM > 0 ==>
va_get_reg64 rRdx va_sM >= 6) /\ ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (6
`op_Multiply` va_in_count + iter `op_Multiply` 6) /\ va_get_xmm 2 va_sM ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\ va_get_reg64 rRbx
va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256 /\ (va_get_reg64 rRdx
va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ (va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM
== Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ (va_get_reg64
rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ (va_get_reg64 rRdx
va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm 10 va_sM)
(va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14 va_sM)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_count + iter - 1)) /\
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` iter) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_sM == 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count + 6 `op_Multiply` (iter - 1))
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ ~(va_get_reg64 rRdx va_sM > 0) /\ va_state_eq va_sM
(va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM
(va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM
(va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM
(va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRdi va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM
(va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_ok va_sM (va_update_mem
va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2
va_sM (va_update_flags va_sM va_s0))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Loop6x_loop_while0 va_b0 va_s0 va_old alg va_in_count va_in_ctr_BE_orig va_in_h_LE
va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b
va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags] in
let va_qc = va_qcode_Loop6x_loop_while0 va_mods va_old alg va_in_count va_in_ctr_BE_orig
va_in_h_LE va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b
va_in_out_b va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr
va_in_iter va_in_y_cur in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Loop6x_loop_while0 alg) va_qc va_s0
(fun va_s0 va_sM va_g -> let (ctr, iter, y_cur) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 742 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 878 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(sse_enabled /\ movbe_enabled) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 880 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_old - 6 `op_Multiply` iter) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 882 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_old + 96 `op_Multiply` iter) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 883 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96 `op_Multiply` iter) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 884 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 886 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 889 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 891 column 127 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rR14 va_sM) va_in_in0_b ((va_in_count - 1) `op_Multiply` 6 + iter
`op_Multiply` 6) (va_get_reg64 rRdx va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM)
Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 892 column 123 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rRdi va_sM) va_in_in_b (va_in_count `op_Multiply` 6 + iter `op_Multiply`
6) (va_get_reg64 rRdx va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 893 column 123 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rRsi va_sM) va_in_out_b (va_in_count `op_Multiply` 6 + iter `op_Multiply`
6) (va_get_reg64 rRdx va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 895 column 74 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_sM) (va_get_reg64 rRbp va_sM)
va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 896 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32)
va_in_hkeys_b 8 (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 897 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 898 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_in0_b == va_in_out_b) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 900 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) va_in_in_b) >= 6) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 901 column 128 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in_b) (6 `op_Multiply` va_in_count + 6
`op_Multiply` iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 902 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 903 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rR14 va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 904 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 906 column 76 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b (va_get_mem_heaplet 3 va_old)
(va_get_mem_heaplet 3 va_sM) 1 8) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 907 column 95 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 + iter
`op_Multiply` 6 + 5)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 908 column 131 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_reg64 rRdx va_old >= 6 /\
Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 +
va_get_reg64 rRdx va_old - 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 909 column 74 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 912 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(aes_reqs_offset alg va_in_key_words va_in_round_keys va_in_keys_b (va_get_reg64 rRcx va_sM)
(va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 913 column 43 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 916 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
pclmulqdq_enabled /\ label va_range1
"***** POSTCONDITION NOT MET AT line 917 column 71 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 918 column 78 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_sM)
va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 920 column 34 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_count + iter - 2 >= 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 921 column 103 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b (va_in_count + iter - 2)
(va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b)
(va_get_xmm 7 va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 922 column 137 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> scratch_reqs va_in_scratch_b (va_in_count + iter - 2)
(va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b)
(Vale.X64.Decls.buffer128_read va_in_scratch_b 2 (va_get_mem_heaplet 3 va_sM))) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 924 column 112 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice
#Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b) 0
((va_in_count + iter - 2) `op_Multiply` 6))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 926 column 107 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_sM)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_sM)))))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 927 column 59 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
y_cur) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 930 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(2 <= va_in_count) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 931 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM `op_Modulus` 6 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 932 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 933 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(6 <= va_get_reg64 rRdx va_old /\ va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 <
pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 934 column 43 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_count `op_Multiply` 6 + iter `op_Multiply` 6 + 6 < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 935 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdx va_sM >= 6) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 936 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (6 `op_Multiply` va_in_count + iter
`op_Multiply` 6)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 937 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 938 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 939 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 941 column 94 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 943 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 944 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 945 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 946 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 947 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 950 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm
10 va_sM) (va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14
va_sM) va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_count + iter - 1)) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 953 column 117 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` iter) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 954 column 128 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` (iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 742 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(~(va_get_reg64 rRdx va_sM > 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags]) va_sM va_s0;
let (ctr, iter, y_cur) = va_g in
(va_sM, va_fM, ctr, iter, y_cur)
[@ va_qattr]
let va_wp_Loop6x_loop_while0 (va_old:va_state) (alg:algorithm) (va_in_count:nat)
(va_in_ctr_BE_orig:quad32) (va_in_h_LE:quad32) (va_in_hkeys_b:buffer128) (va_in_in0_b:buffer128)
(va_in_in_b:buffer128) (va_in_iv_b:buffer128) (va_in_key_words:(seq nat32))
(va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32))
(va_in_round_keys:(seq quad32)) (va_in_scratch_b:buffer128) (va_in_y_orig:quad32)
(va_in_ctr:quad32) (va_in_iter:nat) (va_in_y_cur:quad32) (va_s0:va_state) (va_k:(va_state ->
(quad32 & nat & quad32) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_s0 == va_get_reg64
rRdx va_old - 6 `op_Multiply` va_in_iter /\ va_get_reg64 rR14 va_s0 == va_get_reg64 rR14 va_old
+ 96 `op_Multiply` va_in_iter /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old + 96
`op_Multiply` va_in_iter /\ va_get_reg64 rRsi va_s0 == va_get_reg64 rRsi va_old + 96
`op_Multiply` va_in_iter /\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2
va_s0) (va_get_reg64 rR8 va_s0) va_in_iv_b 1 (va_get_mem_layout va_s0) Public /\ (va_get_reg64
rRdx va_s0 > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b ((va_in_count - 1) `op_Multiply` 6 + va_in_iter
`op_Multiply` 6) (va_get_reg64 rRdx va_old - va_in_iter `op_Multiply` 6) (va_get_mem_layout
va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi va_s0) va_in_in_b (va_in_count `op_Multiply` 6
+ va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - va_in_iter `op_Multiply` 6)
(va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
va_in_out_b (va_in_count `op_Multiply` 6 + va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - va_in_iter `op_Multiply` 6) (va_get_mem_layout va_s0) Secret) /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
va_in_scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) va_in_hkeys_b 8 (va_get_mem_layout
va_s0) Secret /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b ==
va_in_out_b) /\ va_in_in0_b == va_in_out_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_s0
> 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in_b) (6 `op_Multiply` va_in_count + 6 `op_Multiply`
va_in_iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64
rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\ (va_get_reg64 rRdx va_s0 >
0 ==> va_get_reg64 rR14 va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\
(va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx
va_s0 < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b
(va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_s0) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 +
va_in_iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_s0 == 0 ==> va_get_reg64 rRdx va_old
>= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 +
va_get_reg64 rRdx va_old - 1)) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b
(va_get_mem_heaplet 2 va_old) (va_get_mem_heaplet 2 va_s0) 0 0 /\ aes_reqs_offset alg
va_in_key_words va_in_round_keys va_in_keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0
va_s0) (va_get_mem_layout va_s0) /\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32
va_in_round_keys 0 /\ pclmulqdq_enabled /\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg
va_in_key_words (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) /\
Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) va_in_hkeys_b)
(Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE) /\ va_in_count + va_in_iter - 2 >= 0 /\
(va_get_reg64 rRdx va_s0 > 0 ==> scratch_reqs va_in_scratch_b (va_in_count + va_in_iter - 2)
(va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in0_b)
(va_get_xmm 7 va_s0)) /\ (va_get_reg64 rRdx va_s0 == 0 ==> scratch_reqs va_in_scratch_b
(va_in_count + va_in_iter - 2) (va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in0_b) (Vale.X64.Decls.buffer128_read va_in_scratch_b 2
(va_get_mem_heaplet 3 va_s0))) /\ va_in_y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE
va_in_y_orig (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in0_b) 0 ((va_in_count + va_in_iter - 2) `op_Multiply` 6))
/\ (va_get_reg64 rRdx va_s0 > 0 ==> va_in_y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_s0)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_s0)))))) /\ (va_get_reg64 rRdx va_s0 == 0 ==> va_get_xmm 8 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 va_in_y_cur) /\ 2 <= va_in_count /\ va_get_reg64 rRdx
va_s0 `op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ (6 <= va_get_reg64 rRdx
va_old /\ va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_count
`op_Multiply` 6 + va_in_iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64 rRdx va_s0 > 0 ==>
va_get_reg64 rRdx va_s0 >= 6) /\ va_in_ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (6
`op_Multiply` va_in_count + va_in_iter `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 0) /\ va_get_reg64
rRbx va_s0 == va_in_ctr.lo0 `op_Modulus` 256 /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite va_in_ctr 0)) (va_get_xmm 15 va_s0)) /\ (va_get_reg64 rRdx va_s0 > 0
==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 10 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 1))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 2))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 3))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 4))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 5))) /\ (va_get_reg64
rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s0) (va_get_xmm 10 va_s0)
(va_get_xmm 11 va_s0) (va_get_xmm 12 va_s0) (va_get_xmm 13 va_s0) (va_get_xmm 14 va_s0)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_count + va_in_iter - 1)) /\
(va_get_reg64 rRdx va_s0 > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` va_in_iter) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_s0 == 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count + 6 `op_Multiply` (va_in_iter - 1))
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ (forall (va_x_efl:Vale.X64.Flags.t)
(va_x_heap2:vale_heap) (va_x_heap3:vale_heap) (va_x_heap6:vale_heap) (va_x_mem:vale_heap)
(va_x_ok:bool) (va_x_r11:nat64) (va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64)
(va_x_rbx:nat64) (va_x_rdi:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (va_x_xmm0:quad32)
(va_x_xmm1:quad32) (va_x_xmm10:quad32) (va_x_xmm11:quad32) (va_x_xmm12:quad32)
(va_x_xmm13:quad32) (va_x_xmm14:quad32) (va_x_xmm15:quad32) (va_x_xmm2:quad32)
(va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32) (va_x_xmm7:quad32)
(va_x_xmm8:quad32) (va_x_xmm9:quad32) (ctr:quad32) (iter:nat) (y_cur:quad32) . let va_sM =
va_upd_xmm 9 va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6 va_x_xmm6
(va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2
(va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13 va_x_xmm13 (va_upd_xmm 12
va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 1 va_x_xmm1
(va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRdi va_x_rdi (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13
va_x_r13 (va_upd_reg64 rR12 va_x_r12 (va_upd_reg64 rR11 va_x_r11 (va_upd_ok va_x_ok (va_upd_mem
va_x_mem (va_upd_mem_heaplet 6 va_x_heap6 (va_upd_mem_heaplet 3 va_x_heap3 (va_upd_mem_heaplet
2 va_x_heap2 (va_upd_flags va_x_efl va_s0))))))))))))))))))))))))))))) in va_get_ok va_sM /\
(sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_old - 6
`op_Multiply` iter /\ va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_old + 96 `op_Multiply`
iter /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96 `op_Multiply` iter /\
va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter /\ va_get_xmm 2
va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b ((va_in_count - 1) `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM >
0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRdi
va_sM) va_in_in_b (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM >
0 ==> Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRsi
va_sM) va_in_out_b (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_sM) (va_get_reg64 rRbp va_sM)
va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32) va_in_hkeys_b 8 (va_get_mem_layout
va_sM) Secret /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b ==
va_in_out_b) /\ va_in_in0_b == va_in_out_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_sM
> 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in_b) (6 `op_Multiply` va_in_count + 6 `op_Multiply` iter)
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdi va_sM + 16
`op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64 rRdx va_sM > 0 ==>
va_get_reg64 rR14 va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM <
pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b (va_get_mem_heaplet 3
va_old) (va_get_mem_heaplet 3 va_sM) 1 8 /\ Vale.X64.Decls.modifies_buffer_specific128
va_in_out_b (va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) (va_in_count
`op_Multiply` 6) (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx
va_sM == 0 ==> va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128
va_in_out_b (va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) (va_in_count
`op_Multiply` 6) (va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)
/\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_sM) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ va_in_count + iter - 2 >= 0 /\ (va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b
(va_in_count + iter - 2) (va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\ (va_get_reg64 rRdx va_sM == 0 ==> scratch_reqs
va_in_scratch_b (va_in_count + iter - 2) (va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in0_b) (Vale.X64.Decls.buffer128_read va_in_scratch_b 2
(va_get_mem_heaplet 3 va_sM))) /\ y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE
va_in_y_orig (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in0_b) 0 ((va_in_count + iter - 2) `op_Multiply` 6)) /\
(va_get_reg64 rRdx va_sM > 0 ==> y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_sM)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ 2 <= va_in_count /\ va_get_reg64 rRdx va_sM
`op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_sM < pow2_32 /\ (6 <= va_get_reg64 rRdx va_old /\
va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_count
`op_Multiply` 6 + iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64 rRdx va_sM > 0 ==>
va_get_reg64 rRdx va_sM >= 6) /\ ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (6
`op_Multiply` va_in_count + iter `op_Multiply` 6) /\ va_get_xmm 2 va_sM ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\ va_get_reg64 rRbx
va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256 /\ (va_get_reg64 rRdx
va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ (va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM
== Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ (va_get_reg64
rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ (va_get_reg64 rRdx
va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm 10 va_sM)
(va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14 va_sM)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_count + iter - 1)) /\
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` iter) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_sM == 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count + 6 `op_Multiply` (iter - 1))
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ ~(va_get_reg64 rRdx va_sM > 0) ==> va_k va_sM ((ctr,
iter, y_cur))))
val va_wpProof_Loop6x_loop_while0 : va_old:va_state -> alg:algorithm -> va_in_count:nat ->
va_in_ctr_BE_orig:quad32 -> va_in_h_LE:quad32 -> va_in_hkeys_b:buffer128 -> va_in_in0_b:buffer128
-> va_in_in_b:buffer128 -> va_in_iv_b:buffer128 -> va_in_key_words:(seq nat32) ->
va_in_keys_b:buffer128 -> va_in_out_b:buffer128 -> va_in_plain_quads:(seq quad32) ->
va_in_round_keys:(seq quad32) -> va_in_scratch_b:buffer128 -> va_in_y_orig:quad32 ->
va_in_ctr:quad32 -> va_in_iter:nat -> va_in_y_cur:quad32 -> va_s0:va_state -> va_k:(va_state ->
(quad32 & nat & quad32) -> Type0)
-> Ghost (va_state & va_fuel & (quad32 & nat & quad32))
(requires (va_t_require va_s0 /\ va_wp_Loop6x_loop_while0 va_old alg va_in_count
va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words
va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig
va_in_ctr va_in_iter va_in_y_cur va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Loop6x_loop_while0 alg) ([va_Mod_xmm
9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3;
va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11;
va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64
rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64
rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2;
va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Loop6x_loop_while0 va_old alg va_in_count va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b
va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur va_s0 va_k =
let (va_sM, va_f0, ctr, iter, y_cur) = va_lemma_Loop6x_loop_while0 (va_code_Loop6x_loop_while0
alg) va_s0 va_old alg va_in_count va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b va_in_in0_b
va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM
(va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM
(va_update_xmm 2 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM
(va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 1 va_sM
(va_update_xmm 0 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRdi va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM
(va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_ok va_sM (va_update_mem
va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2
va_sM (va_update_flags va_sM va_s0)))))))))))))))))))))))))))))));
va_lemma_norm_mods ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags]) va_sM va_s0;
let va_g = (ctr, iter, y_cur) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Loop6x_loop_while0 (va_old:va_state) (alg:algorithm) (va_in_count:nat)
(va_in_ctr_BE_orig:quad32) (va_in_h_LE:quad32) (va_in_hkeys_b:buffer128) (va_in_in0_b:buffer128)
(va_in_in_b:buffer128) (va_in_iv_b:buffer128) (va_in_key_words:(seq nat32))
(va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32))
(va_in_round_keys:(seq quad32)) (va_in_scratch_b:buffer128) (va_in_y_orig:quad32)
(va_in_ctr:quad32) (va_in_iter:nat) (va_in_y_cur:quad32) : (va_quickCode (quad32 & nat & quad32)
(va_code_Loop6x_loop_while0 alg)) =
(va_QProc (va_code_Loop6x_loop_while0 alg) ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm
6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14;
va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0;
va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem;
va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags])
(va_wp_Loop6x_loop_while0 va_old alg va_in_count va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b
va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur)
(va_wpProof_Loop6x_loop_while0 va_old alg va_in_count va_in_ctr_BE_orig va_in_h_LE
va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b
va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter
va_in_y_cur))
#pop-options
//--
//-- Loop6x_loop
#push-options "--z3rlimit 750"
val va_code_Loop6x_loop : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Loop6x_loop alg =
(va_Block (va_CCons (va_code_Loop6x_loop_while0 alg) (va_CNil ())))
val va_codegen_success_Loop6x_loop : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Loop6x_loop alg =
(va_pbool_and (va_codegen_success_Loop6x_loop_while0 alg) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Loop6x_loop (va_mods:va_mods_t) (alg:algorithm) (h_LE:quad32) (y_orig:quad32)
(y_prev:quad32) (count:nat) (iv_b:buffer128) (in0_b:buffer128) (in_b:buffer128) (out_b:buffer128)
(scratch_b:buffer128) (plain_quads:(seq quad32)) (key_words:(seq nat32)) (round_keys:(seq
quad32)) (keys_b:buffer128) (hkeys_b:buffer128) (ctr_BE_orig:quad32) (ctr_BE:quad32) :
(va_quickCode (quad32) (va_code_Loop6x_loop alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (iter:nat) = 0 in
let (ctr:quad32) = ctr_BE in let (y_cur:quad32) = y_prev in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 876 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x_loop_while0 va_old_s alg count ctr_BE_orig h_LE hkeys_b in0_b in_b iv_b
key_words keys_b out_b plain_quads round_keys scratch_b y_orig ctr iter y_cur) (fun
(va_s:va_state) va_g -> let (ctr, iter, y_cur) = va_g in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 964 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_registers_reveal ()) (let (y_new:quad32) = y_cur in
va_QEmpty ((y_new))))))
val va_lemma_Loop6x_loop : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> h_LE:quad32 ->
y_orig:quad32 -> y_prev:quad32 -> count:nat -> iv_b:buffer128 -> in0_b:buffer128 ->
in_b:buffer128 -> out_b:buffer128 -> scratch_b:buffer128 -> plain_quads:(seq quad32) ->
key_words:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 ->
ctr_BE_orig:quad32 -> ctr_BE:quad32
-> Ghost (va_state & va_fuel & quad32)
(requires (va_require_total va_b0 (va_code_Loop6x_loop alg) va_s0 /\ va_get_ok va_s0 /\
(sse_enabled /\ movbe_enabled /\ count >= 2 /\ (6 <= va_get_reg64 rRdx va_s0 /\ count
`op_Multiply` 6 + va_get_reg64 rRdx va_s0 + 6 < pow2_32) /\ va_get_reg64 rRdx va_s0
`op_Modulus` 6 == 0 /\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_s0) (va_get_reg64 rR8
va_s0) iv_b 1 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 6 va_s0) (va_get_reg64 rR14 va_s0) in0_b ((count - 1) `op_Multiply` 6)
(va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi va_s0)
in_b (count `op_Multiply` 6) (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
out_b (count `op_Multiply` 6) (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0)
Secret /\ (Vale.X64.Decls.buffers_disjoint128 in_b out_b \/ in_b == out_b) /\ in0_b == out_b /\
Vale.AES.GCTR.partial_seq_agreement plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_s0) in_b) (count `op_Multiply` 6) (FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in_b)) /\ va_get_reg64 rRdi va_s0 + 16
`op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rR14 va_s0 + 16 `op_Multiply`
va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64
rRdx va_s0 < pow2_64 /\ aes_reqs_offset alg key_words round_keys keys_b (va_get_reg64 rRcx
va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ va_get_xmm 15 va_s0 ==
FStar.Seq.Base.index #quad32 round_keys 0 /\ pclmulqdq_enabled /\ h_LE ==
Vale.AES.AES_s.aes_encrypt_LE alg key_words (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0)
hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ scratch_reqs scratch_b (count - 2)
(va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in0_b)
(va_get_xmm 7 va_s0) /\ y_prev == Vale.AES.GHash.ghash_incremental0 h_LE y_orig
(FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0)
in0_b) 0 ((count - 2) `op_Multiply` 6)) /\ y_prev == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_s0)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read scratch_b 1
(va_get_mem_heaplet 3 va_s0))))) /\ count `op_Multiply` 6 + 6 < pow2_32 /\ ctr_BE ==
Vale.AES.GCTR.inc32lite ctr_BE_orig (count `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 0) /\ va_get_reg64 rRbx
va_s0 == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_BE `op_Modulus` 256 /\ va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 0)) (va_get_xmm 15 va_s0) /\ (va_get_reg64 rRbx va_s0 + 6 < 256
==> va_get_xmm 10 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 1)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 2)) /\ (va_get_reg64 rRbx
va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 3)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13
va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 4)) /\
(va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 5)) /\
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` count) plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) out_b) key_words ctr_BE_orig)))
(ensures (fun (va_sM, va_fM, y_new) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM
/\ (Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 8 /\ Vale.X64.Decls.modifies_buffer_specific128 out_b
(va_get_mem_heaplet 6 va_s0) (va_get_mem_heaplet 6 va_sM) (count `op_Multiply` 6) (count
`op_Multiply` 6 + va_get_reg64 rRdx va_s0 - 1) /\ Vale.X64.Decls.modifies_buffer_specific128
iv_b (va_get_mem_heaplet 2 va_s0) (va_get_mem_heaplet 2 va_sM) 0 0 /\ va_get_reg64 rR14 va_sM
== va_get_reg64 rR14 va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRdi
va_sM == va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 /\ va_get_reg64
rRsi va_sM == va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 /\
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` count + va_get_reg64 rRdx va_s0 - 6)
plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out_b) key_words ctr_BE_orig /\
va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 0) (va_get_mem_heaplet 6 va_s0))
(Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6))) /\ va_get_xmm 10 va_sM ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (6 `op_Multiply` count +
va_get_reg64 rRdx va_s0 - 6 + 1) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (6 `op_Multiply` count + va_get_reg64 rRdx
va_s0 - 6 + 1))) /\ va_get_xmm 11 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (6 `op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 2)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE_orig (6 `op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 +
2))) /\ va_get_xmm 12 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b
(6 `op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 3) (va_get_mem_heaplet 6 va_s0))
(Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 3))) /\ va_get_xmm 13 va_sM ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (6 `op_Multiply` count +
va_get_reg64 rRdx va_s0 - 6 + 4) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (6 `op_Multiply` count + va_get_reg64 rRdx
va_s0 - 6 + 4))) /\ va_get_xmm 14 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (6 `op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 5)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE_orig (6 `op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 +
5))) /\ y_new == Vale.AES.GHash.ghash_incremental0 h_LE y_orig (FStar.Seq.Base.slice
#Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) in0_b) 0 (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 12)) /\ va_get_xmm 8 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 y_new /\ scratch_reqs_simple scratch_b
(va_get_mem_heaplet 3 va_sM) (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) in0_b) (6 `op_Multiply` count + va_get_reg64 rRdx va_s0 - 12) (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6)) (Vale.X64.Decls.buffer128_read scratch_b 2
(va_get_mem_heaplet 3 va_sM)) /\ va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE (va_get_reg64 rRdx va_s0))) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2 va_sM
(va_update_mem_heaplet 6 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm
13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm
9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5
va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1
va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM
(va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM
(va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Loop6x_loop va_b0 va_s0 alg h_LE y_orig y_prev count iv_b in0_b in_b out_b scratch_b
plain_quads key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2;
va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm
11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14;
va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_Loop6x_loop va_mods alg h_LE y_orig y_prev count iv_b in0_b in_b out_b
scratch_b plain_quads key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Loop6x_loop alg) va_qc va_s0 (fun va_s0
va_sM va_g -> let y_new = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 742 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ (label va_range1
"***** POSTCONDITION NOT MET AT line 842 column 72 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 8) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 843 column 97 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 out_b (va_get_mem_heaplet 6 va_s0)
(va_get_mem_heaplet 6 va_sM) (count `op_Multiply` 6) (count `op_Multiply` 6 + va_get_reg64 rRdx
va_s0 - 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 844 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 iv_b (va_get_mem_heaplet 2 va_s0)
(va_get_mem_heaplet 2 va_sM) 0 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 849 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 850 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 851 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 854 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` count + va_get_reg64 rRdx va_s0 - 6)
plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out_b) key_words ctr_BE_orig) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 856 column 167 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 0) (va_get_mem_heaplet 6 va_s0))
(Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6)))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 857 column 171 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 10 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 1) (va_get_mem_heaplet 6 va_s0))
(Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 1)))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 858 column 171 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 11 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 2) (va_get_mem_heaplet 6 va_s0))
(Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 2)))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 859 column 171 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 12 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 3) (va_get_mem_heaplet 6 va_s0))
(Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 3)))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 860 column 171 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 13 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 4) (va_get_mem_heaplet 6 va_s0))
(Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 4)))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 861 column 171 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 14 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 5) (va_get_mem_heaplet 6 va_s0))
(Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 5)))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 864 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(y_new == Vale.AES.GHash.ghash_incremental0 h_LE y_orig (FStar.Seq.Base.slice
#Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) in0_b) 0 (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 12))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 865 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_new) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 867 column 163 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(scratch_reqs_simple scratch_b (va_get_mem_heaplet 3 va_sM) (FStar.Seq.Base.slice
#Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) in0_b) (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 12) (6 `op_Multiply` count + va_get_reg64 rRdx
va_s0 - 6)) (Vale.X64.Decls.buffer128_read scratch_b 2 (va_get_mem_heaplet 3 va_sM))) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 870 column 64 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE
(va_get_reg64 rRdx va_s0))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet
6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10;
va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm
3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_reg64
rRdi; va_Mod_ok; va_Mod_mem]) va_sM va_s0;
let y_new = va_g in
(va_sM, va_fM, y_new)
[@ va_qattr]
let va_wp_Loop6x_loop (alg:algorithm) (h_LE:quad32) (y_orig:quad32) (y_prev:quad32) (count:nat)
(iv_b:buffer128) (in0_b:buffer128) (in_b:buffer128) (out_b:buffer128) (scratch_b:buffer128)
(plain_quads:(seq quad32)) (key_words:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128)
(hkeys_b:buffer128) (ctr_BE_orig:quad32) (ctr_BE:quad32) (va_s0:va_state) (va_k:(va_state ->
quad32 -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ movbe_enabled /\ count >= 2 /\ (6 <= va_get_reg64 rRdx va_s0
/\ count `op_Multiply` 6 + va_get_reg64 rRdx va_s0 + 6 < pow2_32) /\ va_get_reg64 rRdx va_s0
`op_Modulus` 6 == 0 /\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_s0) (va_get_reg64 rR8
va_s0) iv_b 1 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 6 va_s0) (va_get_reg64 rR14 va_s0) in0_b ((count - 1) `op_Multiply` 6)
(va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi va_s0)
in_b (count `op_Multiply` 6) (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
out_b (count `op_Multiply` 6) (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0)
Secret /\ (Vale.X64.Decls.buffers_disjoint128 in_b out_b \/ in_b == out_b) /\ in0_b == out_b /\
Vale.AES.GCTR.partial_seq_agreement plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_s0) in_b) (count `op_Multiply` 6) (FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in_b)) /\ va_get_reg64 rRdi va_s0 + 16
`op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rR14 va_s0 + 16 `op_Multiply`
va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64
rRdx va_s0 < pow2_64 /\ aes_reqs_offset alg key_words round_keys keys_b (va_get_reg64 rRcx
va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ va_get_xmm 15 va_s0 ==
FStar.Seq.Base.index #quad32 round_keys 0 /\ pclmulqdq_enabled /\ h_LE ==
Vale.AES.AES_s.aes_encrypt_LE alg key_words (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0)
hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ scratch_reqs scratch_b (count - 2)
(va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in0_b)
(va_get_xmm 7 va_s0) /\ y_prev == Vale.AES.GHash.ghash_incremental0 h_LE y_orig
(FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0)
in0_b) 0 ((count - 2) `op_Multiply` 6)) /\ y_prev == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_s0)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read scratch_b 1
(va_get_mem_heaplet 3 va_s0))))) /\ count `op_Multiply` 6 + 6 < pow2_32 /\ ctr_BE ==
Vale.AES.GCTR.inc32lite ctr_BE_orig (count `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 0) /\ va_get_reg64 rRbx
va_s0 == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_BE `op_Modulus` 256 /\ va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 0)) (va_get_xmm 15 va_s0) /\ (va_get_reg64 rRbx va_s0 + 6 < 256
==> va_get_xmm 10 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 1)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 2)) /\ (va_get_reg64 rRbx
va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 3)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13
va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 4)) /\
(va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 5)) /\
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` count) plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) out_b) key_words ctr_BE_orig) /\ (forall (va_x_mem:vale_heap)
(va_x_rdi:nat64) (va_x_rsi:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r11:nat64)
(va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_xmm0:quad32) (va_x_xmm1:quad32)
(va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32)
(va_x_xmm7:quad32) (va_x_xmm8:quad32) (va_x_xmm9:quad32) (va_x_xmm10:quad32)
(va_x_xmm11:quad32) (va_x_xmm12:quad32) (va_x_xmm13:quad32) (va_x_xmm14:quad32)
(va_x_xmm15:quad32) (va_x_heap6:vale_heap) (va_x_heap2:vale_heap) (va_x_heap3:vale_heap)
(va_x_efl:Vale.X64.Flags.t) (y_new:quad32) . let va_sM = va_upd_flags va_x_efl
(va_upd_mem_heaplet 3 va_x_heap3 (va_upd_mem_heaplet 2 va_x_heap2 (va_upd_mem_heaplet 6
va_x_heap6 (va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13 va_x_xmm13
(va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 9
va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5
va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 1
va_x_xmm1 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13
(va_upd_reg64 rR12 va_x_r12 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdi va_x_rdi (va_upd_mem
va_x_mem va_s0)))))))))))))))))))))))))))) in va_get_ok va_sM /\
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 8 /\ Vale.X64.Decls.modifies_buffer_specific128 out_b
(va_get_mem_heaplet 6 va_s0) (va_get_mem_heaplet 6 va_sM) (count `op_Multiply` 6) (count
`op_Multiply` 6 + va_get_reg64 rRdx va_s0 - 1) /\ Vale.X64.Decls.modifies_buffer_specific128
iv_b (va_get_mem_heaplet 2 va_s0) (va_get_mem_heaplet 2 va_sM) 0 0 /\ va_get_reg64 rR14 va_sM
== va_get_reg64 rR14 va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRdi
va_sM == va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 /\ va_get_reg64
rRsi va_sM == va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 /\
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` count + va_get_reg64 rRdx va_s0 - 6)
plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out_b) key_words ctr_BE_orig /\
va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 0) (va_get_mem_heaplet 6 va_s0))
(Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6))) /\ va_get_xmm 10 va_sM ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (6 `op_Multiply` count +
va_get_reg64 rRdx va_s0 - 6 + 1) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (6 `op_Multiply` count + va_get_reg64 rRdx
va_s0 - 6 + 1))) /\ va_get_xmm 11 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (6 `op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 2)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE_orig (6 `op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 +
2))) /\ va_get_xmm 12 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b
(6 `op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 3) (va_get_mem_heaplet 6 va_s0))
(Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 3))) /\ va_get_xmm 13 va_sM ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (6 `op_Multiply` count +
va_get_reg64 rRdx va_s0 - 6 + 4) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (6 `op_Multiply` count + va_get_reg64 rRdx
va_s0 - 6 + 4))) /\ va_get_xmm 14 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (6 `op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 5)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE_orig (6 `op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 +
5))) /\ y_new == Vale.AES.GHash.ghash_incremental0 h_LE y_orig (FStar.Seq.Base.slice
#Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) in0_b) 0 (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 12)) /\ va_get_xmm 8 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 y_new /\ scratch_reqs_simple scratch_b
(va_get_mem_heaplet 3 va_sM) (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) in0_b) (6 `op_Multiply` count + va_get_reg64 rRdx va_s0 - 12) (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6)) (Vale.X64.Decls.buffer128_read scratch_b 2
(va_get_mem_heaplet 3 va_sM)) /\ va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE (va_get_reg64 rRdx va_s0))) ==> va_k va_sM ((y_new))))
val va_wpProof_Loop6x_loop : alg:algorithm -> h_LE:quad32 -> y_orig:quad32 -> y_prev:quad32 ->
count:nat -> iv_b:buffer128 -> in0_b:buffer128 -> in_b:buffer128 -> out_b:buffer128 ->
scratch_b:buffer128 -> plain_quads:(seq quad32) -> key_words:(seq nat32) -> round_keys:(seq
quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 -> ctr_BE_orig:quad32 -> ctr_BE:quad32 ->
va_s0:va_state -> va_k:(va_state -> quad32 -> Type0)
-> Ghost (va_state & va_fuel & quad32)
(requires (va_t_require va_s0 /\ va_wp_Loop6x_loop alg h_LE y_orig y_prev count iv_b in0_b in_b
out_b scratch_b plain_quads key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Loop6x_loop alg) ([va_Mod_flags;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14;
va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8;
va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm
1; va_Mod_xmm 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11;
va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_mem]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Loop6x_loop alg h_LE y_orig y_prev count iv_b in0_b in_b out_b scratch_b plain_quads
key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE va_s0 va_k =
let (va_sM, va_f0, y_new) = va_lemma_Loop6x_loop (va_code_Loop6x_loop alg) va_s0 alg h_LE y_orig
y_prev count iv_b in0_b in_b out_b scratch_b plain_quads key_words round_keys keys_b hkeys_b
ctr_BE_orig ctr_BE in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 3 va_sM
(va_update_mem_heaplet 2 va_sM (va_update_mem_heaplet 6 va_sM (va_update_xmm 15 va_sM
(va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM
(va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM
(va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM
(va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR14
va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRsi va_sM
(va_update_reg64 rRdi va_sM (va_update_ok va_sM (va_update_mem va_sM
va_s0)))))))))))))))))))))))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet
6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10;
va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm
3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_reg64
rRdi; va_Mod_mem]) va_sM va_s0;
let va_g = (y_new) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Loop6x_loop (alg:algorithm) (h_LE:quad32) (y_orig:quad32) (y_prev:quad32) (count:nat)
(iv_b:buffer128) (in0_b:buffer128) (in_b:buffer128) (out_b:buffer128) (scratch_b:buffer128)
(plain_quads:(seq quad32)) (key_words:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128)
(hkeys_b:buffer128) (ctr_BE_orig:quad32) (ctr_BE:quad32) : (va_quickCode quad32
(va_code_Loop6x_loop alg)) =
(va_QProc (va_code_Loop6x_loop alg) ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2;
va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm
11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14;
va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_mem]) (va_wp_Loop6x_loop alg h_LE y_orig y_prev
count iv_b in0_b in_b out_b scratch_b plain_quads key_words round_keys keys_b hkeys_b
ctr_BE_orig ctr_BE) (va_wpProof_Loop6x_loop alg h_LE y_orig y_prev count iv_b in0_b in_b out_b
scratch_b plain_quads key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE))
#pop-options
//--
//-- AESNI_ctr32_6x_preamble
#push-options "--z3rlimit 80"
#restart-solver
val va_code_AESNI_ctr32_6x_preamble : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_AESNI_ctr32_6x_preamble alg =
(va_Block (va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 4)
(va_op_reg_opr64_reg64 rRcx) (0 - 128) Secret) (va_CCons (va_code_Load_one_msb ()) (va_CCons
(va_code_Load128_buffer (va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 15) (va_op_reg_opr64_reg64
rRcx) (16 - 128) Secret) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR12)
(va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR12) (va_const_opr64
96)) (va_CCons (va_code_VPxor (va_op_xmm_xmm 9) (va_op_xmm_xmm 1) (va_op_opr128_xmm 4))
(va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 6)) (va_CCons (va_IfElse
(va_cmp_lt (va_op_cmp_reg64 rRbx) (va_const_cmp 256)) (va_Block (va_CCons (va_code_VPaddd
(va_op_xmm_xmm 10) (va_op_xmm_xmm 1) (va_op_xmm_xmm 2)) (va_CCons (va_code_VPaddd
(va_op_xmm_xmm 11) (va_op_xmm_xmm 10) (va_op_xmm_xmm 2)) (va_CCons (va_code_VPxor
(va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_opr128_xmm 4)) (va_CCons (va_code_VPaddd
(va_op_xmm_xmm 12) (va_op_xmm_xmm 11) (va_op_xmm_xmm 2)) (va_CCons (va_code_VPxor
(va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_opr128_xmm 4)) (va_CCons (va_code_VPaddd
(va_op_xmm_xmm 13) (va_op_xmm_xmm 12) (va_op_xmm_xmm 2)) (va_CCons (va_code_VPxor
(va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_opr128_xmm 4)) (va_CCons (va_code_VPaddd
(va_op_xmm_xmm 14) (va_op_xmm_xmm 13) (va_op_xmm_xmm 2)) (va_CCons (va_code_VPxor
(va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_opr128_xmm 4)) (va_CCons (va_code_VPaddd
(va_op_xmm_xmm 1) (va_op_xmm_xmm 14) (va_op_xmm_xmm 2)) (va_CCons (va_code_VPxor (va_op_xmm_xmm
14) (va_op_xmm_xmm 14) (va_op_opr128_xmm 4)) (va_CNil ()))))))))))))) (va_Block (va_CCons
(va_code_Sub64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 256)) (va_CCons
(va_code_Handle_ctr32_2 ()) (va_CNil ()))))) (va_CNil ()))))))))))
val va_codegen_success_AESNI_ctr32_6x_preamble : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_AESNI_ctr32_6x_preamble alg =
(va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 4)
(va_op_reg_opr64_reg64 rRcx) (0 - 128) Secret) (va_pbool_and (va_codegen_success_Load_one_msb
()) (va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_xmm_xmm 15) (va_op_reg_opr64_reg64 rRcx) (16 - 128) Secret) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rRcx)) (va_pbool_and
(va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR12) (va_const_opr64 96)) (va_pbool_and
(va_codegen_success_VPxor (va_op_xmm_xmm 9) (va_op_xmm_xmm 1) (va_op_opr128_xmm 4))
(va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 6))
(va_pbool_and (va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 10) (va_op_xmm_xmm 1)
(va_op_xmm_xmm 2)) (va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 11) (va_op_xmm_xmm
10) (va_op_xmm_xmm 2)) (va_pbool_and (va_codegen_success_VPxor (va_op_xmm_xmm 10)
(va_op_xmm_xmm 10) (va_op_opr128_xmm 4)) (va_pbool_and (va_codegen_success_VPaddd
(va_op_xmm_xmm 12) (va_op_xmm_xmm 11) (va_op_xmm_xmm 2)) (va_pbool_and
(va_codegen_success_VPxor (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_opr128_xmm 4))
(va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 13) (va_op_xmm_xmm 12) (va_op_xmm_xmm
2)) (va_pbool_and (va_codegen_success_VPxor (va_op_xmm_xmm 12) (va_op_xmm_xmm 12)
(va_op_opr128_xmm 4)) (va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 14)
(va_op_xmm_xmm 13) (va_op_xmm_xmm 2)) (va_pbool_and (va_codegen_success_VPxor (va_op_xmm_xmm
13) (va_op_xmm_xmm 13) (va_op_opr128_xmm 4)) (va_pbool_and (va_codegen_success_VPaddd
(va_op_xmm_xmm 1) (va_op_xmm_xmm 14) (va_op_xmm_xmm 2)) (va_pbool_and (va_codegen_success_VPxor
(va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_opr128_xmm 4)) (va_pbool_and
(va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 256))
(va_codegen_success_Handle_ctr32_2 ()))))))))))))) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_AESNI_ctr32_6x_preamble (va_mods:va_mods_t) (alg:algorithm) (key_words:(seq nat32))
(round_keys:(seq quad32)) (keys_b:buffer128) (ctr_orig:quad32) : (va_quickCode unit
(va_code_AESNI_ctr32_6x_preamble alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1024 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 4) (va_op_reg_opr64_reg64
rRcx) (0 - 128) Secret keys_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1025 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load_one_msb ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1026 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 15)
(va_op_reg_opr64_reg64 rRcx) (16 - 128) Secret keys_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1029 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1030 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rR12) (va_const_opr64 96)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1032 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 9) (va_op_xmm_xmm 1) (va_op_opr128_xmm 4)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 1034 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 6)) (fun (va_s:va_state) _ ->
va_QBind va_range1
"***** PRECONDITION NOT MET AT line 1035 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_qIf va_mods (Cmp_lt (va_op_cmp_reg64 rRbx) (va_const_cmp 256)) (qblock va_mods (fun
(va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 1036 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 10) (va_op_xmm_xmm 1) (va_op_xmm_xmm 2)) (fun (va_s:va_state) _
-> let (va_arg83:Vale.Def.Types_s.quad32) = va_get_xmm 10 va_s in let
(va_arg82:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_old_s in let
(va_arg81:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite ctr_orig 0 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1037 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.lemma_incr_msb va_arg81 va_arg82 va_arg83 1) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 1038 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 11) (va_op_xmm_xmm 10) (va_op_xmm_xmm 2)) (fun (va_s:va_state)
_ -> let (va_arg80:Vale.Def.Types_s.quad32) = va_get_xmm 11 va_s in let
(va_arg79:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_old_s in let
(va_arg78:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite ctr_orig 0 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1039 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.lemma_incr_msb va_arg78 va_arg79 va_arg80 2) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1040 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_opr128_xmm 4)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 1041 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 12) (va_op_xmm_xmm 11) (va_op_xmm_xmm 2)) (fun (va_s:va_state)
_ -> let (va_arg77:Vale.Def.Types_s.quad32) = va_get_xmm 12 va_s in let
(va_arg76:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_old_s in let
(va_arg75:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite ctr_orig 0 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1042 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.lemma_incr_msb va_arg75 va_arg76 va_arg77 3) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1043 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_opr128_xmm 4)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 1044 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 13) (va_op_xmm_xmm 12) (va_op_xmm_xmm 2)) (fun (va_s:va_state)
_ -> let (va_arg74:Vale.Def.Types_s.quad32) = va_get_xmm 13 va_s in let
(va_arg73:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_old_s in let
(va_arg72:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite ctr_orig 0 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1045 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.lemma_incr_msb va_arg72 va_arg73 va_arg74 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1046 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_opr128_xmm 4)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 1047 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 14) (va_op_xmm_xmm 13) (va_op_xmm_xmm 2)) (fun (va_s:va_state)
_ -> let (va_arg71:Vale.Def.Types_s.quad32) = va_get_xmm 14 va_s in let
(va_arg70:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_old_s in let
(va_arg69:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite ctr_orig 0 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1048 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.lemma_incr_msb va_arg69 va_arg70 va_arg71 5) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1049 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_opr128_xmm 4)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 1050 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 1) (va_op_xmm_xmm 14) (va_op_xmm_xmm 2)) (fun (va_s:va_state) _
-> let (va_arg68:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_s in let
(va_arg67:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_old_s in let
(va_arg66:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite ctr_orig 0 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1051 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.lemma_incr_msb va_arg66 va_arg67 va_arg68 6) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1052 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_opr128_xmm 4)) (va_QEmpty
(())))))))))))))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1054 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 256)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1055 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Handle_ctr32_2 ctr_orig) (va_QEmpty (())))))) (fun (va_s:va_state) va_g -> let
(va_arg65:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = round_keys in let
(va_arg64:Vale.Def.Types_s.quad32) = va_get_xmm 9 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1058 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.init_rounds_opaque va_arg64 va_arg65) (let
(va_arg63:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = round_keys in let
(va_arg62:Vale.Def.Types_s.quad32) = va_get_xmm 10 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1059 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.init_rounds_opaque va_arg62 va_arg63) (let
(va_arg61:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = round_keys in let
(va_arg60:Vale.Def.Types_s.quad32) = va_get_xmm 11 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1060 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.init_rounds_opaque va_arg60 va_arg61) (let
(va_arg59:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = round_keys in let
(va_arg58:Vale.Def.Types_s.quad32) = va_get_xmm 12 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1061 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.init_rounds_opaque va_arg58 va_arg59) (let
(va_arg57:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = round_keys in let
(va_arg56:Vale.Def.Types_s.quad32) = va_get_xmm 13 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1062 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.init_rounds_opaque va_arg56 va_arg57) (let
(va_arg55:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = round_keys in let
(va_arg54:Vale.Def.Types_s.quad32) = va_get_xmm 14 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1063 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.init_rounds_opaque va_arg54 va_arg55) (va_QEmpty
(())))))))))))))))))
val va_lemma_AESNI_ctr32_6x_preamble : va_b0:va_code -> va_s0:va_state -> alg:algorithm ->
key_words:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> ctr_orig:quad32
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_ctr32_6x_preamble alg) va_s0 /\ va_get_ok va_s0
/\ (sse_enabled /\ aes_reqs_offset alg key_words round_keys keys_b (va_get_reg64 rRcx va_s0)
(va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ va_get_reg64 rRcx va_s0 - 96 >= 0 /\
va_get_xmm 1 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig
0) /\ va_get_reg64 rRbx va_s0 == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_orig
`op_Modulus` 256 /\ va_get_xmm 0 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32
202182159 134810123 67438087 66051)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (0
<= va_get_reg64 rRbx va_sM /\ va_get_reg64 rRbx va_sM < 256 /\ va_get_reg64 rRbx va_sM ==
Vale.Def.Words_s.__proj__Mkfour__item__lo0 (Vale.AES.GCTR.inc32lite ctr_orig 6) `op_Modulus`
256 /\ va_get_xmm 9 va_sM == Vale.AES.AES_s.eval_rounds (Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 0))
(FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)) round_keys 0 /\ va_get_xmm 10
va_sM == Vale.AES.AES_s.eval_rounds (Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 1))
(FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)) round_keys 0 /\ va_get_xmm 11
va_sM == Vale.AES.AES_s.eval_rounds (Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 2))
(FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)) round_keys 0 /\ va_get_xmm 12
va_sM == Vale.AES.AES_s.eval_rounds (Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 3))
(FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)) round_keys 0 /\ va_get_xmm 13
va_sM == Vale.AES.AES_s.eval_rounds (Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 4))
(FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)) round_keys 0 /\ va_get_xmm 14
va_sM == Vale.AES.AES_s.eval_rounds (Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 5))
(FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)) round_keys 0 /\ va_get_xmm 1
va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 6) /\
va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 round_keys 1) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM
(va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 9 va_sM
(va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 2 va_sM
(va_update_xmm 1 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64
rRbx va_sM (va_update_ok va_sM va_s0)))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_AESNI_ctr32_6x_preamble va_b0 va_s0 alg key_words round_keys keys_b ctr_orig =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm
12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4;
va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_ok]
in
let va_qc = va_qcode_AESNI_ctr32_6x_preamble va_mods alg key_words round_keys keys_b ctr_orig in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_AESNI_ctr32_6x_preamble alg) va_qc
va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 968 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ (label va_range1
"***** POSTCONDITION NOT MET AT line 1010 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(0 <= va_get_reg64 rRbx va_sM /\ va_get_reg64 rRbx va_sM < 256) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1011 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 (Vale.AES.GCTR.inc32lite
ctr_orig 6) `op_Modulus` 256) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1013 column 125 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 9 va_sM == Vale.AES.AES_s.eval_rounds (Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 0))
(FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)) round_keys 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1014 column 125 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 10 va_sM == Vale.AES.AES_s.eval_rounds (Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 1))
(FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)) round_keys 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1015 column 125 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 11 va_sM == Vale.AES.AES_s.eval_rounds (Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 2))
(FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)) round_keys 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1016 column 125 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 12 va_sM == Vale.AES.AES_s.eval_rounds (Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 3))
(FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)) round_keys 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1017 column 125 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 13 va_sM == Vale.AES.AES_s.eval_rounds (Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 4))
(FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)) round_keys 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1018 column 125 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 14 va_sM == Vale.AES.AES_s.eval_rounds (Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 5))
(FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)) round_keys 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1020 column 59 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig
6)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1022 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 round_keys 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12;
va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4;
va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_ctr32_6x_preamble (alg:algorithm) (key_words:(seq nat32)) (round_keys:(seq quad32))
(keys_b:buffer128) (ctr_orig:quad32) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ aes_reqs_offset alg key_words round_keys keys_b (va_get_reg64
rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ va_get_reg64 rRcx va_s0 -
96 >= 0 /\ va_get_xmm 1 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_orig 0) /\ va_get_reg64 rRbx va_s0 == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_orig
`op_Modulus` 256 /\ va_get_xmm 0 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32
202182159 134810123 67438087 66051) /\ (forall (va_x_rbx:nat64) (va_x_r11:nat64)
(va_x_r12:nat64) (va_x_xmm1:quad32) (va_x_xmm2:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32)
(va_x_xmm6:quad32) (va_x_xmm9:quad32) (va_x_xmm10:quad32) (va_x_xmm11:quad32)
(va_x_xmm12:quad32) (va_x_xmm13:quad32) (va_x_xmm14:quad32) (va_x_xmm15:quad32)
(va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_xmm 15 va_x_xmm15
(va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13 va_x_xmm13 (va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11
va_x_xmm11 (va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 9 va_x_xmm9 (va_upd_xmm 6 va_x_xmm6
(va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 1 va_x_xmm1
(va_upd_reg64 rR12 va_x_r12 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rRbx va_x_rbx
va_s0))))))))))))))) in va_get_ok va_sM /\ (0 <= va_get_reg64 rRbx va_sM /\ va_get_reg64 rRbx
va_sM < 256 /\ va_get_reg64 rRbx va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0
(Vale.AES.GCTR.inc32lite ctr_orig 6) `op_Modulus` 256 /\ va_get_xmm 9 va_sM ==
Vale.AES.AES_s.eval_rounds (Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 0)) (FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys
0)) round_keys 0 /\ va_get_xmm 10 va_sM == Vale.AES.AES_s.eval_rounds
(Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_orig 1)) (FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)) round_keys 0 /\
va_get_xmm 11 va_sM == Vale.AES.AES_s.eval_rounds (Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 2))
(FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)) round_keys 0 /\ va_get_xmm 12
va_sM == Vale.AES.AES_s.eval_rounds (Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 3))
(FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)) round_keys 0 /\ va_get_xmm 13
va_sM == Vale.AES.AES_s.eval_rounds (Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 4))
(FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)) round_keys 0 /\ va_get_xmm 14
va_sM == Vale.AES.AES_s.eval_rounds (Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 5))
(FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)) round_keys 0 /\ va_get_xmm 1
va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 6) /\
va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 round_keys 1) ==> va_k va_sM (())))
val va_wpProof_AESNI_ctr32_6x_preamble : alg:algorithm -> key_words:(seq nat32) -> round_keys:(seq
quad32) -> keys_b:buffer128 -> ctr_orig: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_AESNI_ctr32_6x_preamble alg key_words round_keys keys_b
ctr_orig va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_ctr32_6x_preamble alg)
([va_Mod_flags; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11;
va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 2; va_Mod_xmm
1; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_ctr32_6x_preamble alg key_words round_keys keys_b ctr_orig va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_ctr32_6x_preamble (va_code_AESNI_ctr32_6x_preamble alg) va_s0
alg key_words round_keys keys_b ctr_orig in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM
(va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM
(va_update_xmm 9 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM
(va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11
va_sM (va_update_reg64 rRbx va_sM (va_update_ok va_sM va_s0))))))))))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12;
va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4;
va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx]) va_sM
va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AESNI_ctr32_6x_preamble (alg:algorithm) (key_words:(seq nat32)) (round_keys:(seq
quad32)) (keys_b:buffer128) (ctr_orig:quad32) : (va_quickCode unit
(va_code_AESNI_ctr32_6x_preamble alg)) =
(va_QProc (va_code_AESNI_ctr32_6x_preamble alg) ([va_Mod_flags; va_Mod_xmm 15; va_Mod_xmm 14;
va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 6;
va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_reg64 rR12; va_Mod_reg64 rR11;
va_Mod_reg64 rRbx]) (va_wp_AESNI_ctr32_6x_preamble alg key_words round_keys keys_b ctr_orig)
(va_wpProof_AESNI_ctr32_6x_preamble alg key_words round_keys keys_b ctr_orig))
#pop-options
//--
//-- AESNI_ctr32_6x_loop_body
val va_code_AESNI_ctr32_6x_loop_body : alg:algorithm -> rnd:nat -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_AESNI_ctr32_6x_loop_body alg rnd =
(va_Block (va_CCons (va_code_VAESNI_enc (va_op_xmm_xmm 9) (va_op_xmm_xmm 9) (va_op_xmm_xmm 15))
(va_CCons (va_code_VAESNI_enc (va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_xmm_xmm 15))
(va_CCons (va_code_VAESNI_enc (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_xmm_xmm 15))
(va_CCons (va_code_VAESNI_enc (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_xmm_xmm 15))
(va_CCons (va_code_VAESNI_enc (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_xmm_xmm 15))
(va_CCons (va_code_VAESNI_enc (va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_xmm_xmm 15))
(va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 15)
(va_op_reg_opr64_reg64 rRcx) (16 `op_Multiply` (rnd + 2) - 128) Secret) (va_CNil ())))))))))
val va_codegen_success_AESNI_ctr32_6x_loop_body : alg:algorithm -> rnd:nat -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_AESNI_ctr32_6x_loop_body alg rnd =
(va_pbool_and (va_codegen_success_VAESNI_enc (va_op_xmm_xmm 9) (va_op_xmm_xmm 9) (va_op_xmm_xmm
15)) (va_pbool_and (va_codegen_success_VAESNI_enc (va_op_xmm_xmm 10) (va_op_xmm_xmm 10)
(va_op_xmm_xmm 15)) (va_pbool_and (va_codegen_success_VAESNI_enc (va_op_xmm_xmm 11)
(va_op_xmm_xmm 11) (va_op_xmm_xmm 15)) (va_pbool_and (va_codegen_success_VAESNI_enc
(va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_xmm_xmm 15)) (va_pbool_and
(va_codegen_success_VAESNI_enc (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_xmm_xmm 15))
(va_pbool_and (va_codegen_success_VAESNI_enc (va_op_xmm_xmm 14) (va_op_xmm_xmm 14)
(va_op_xmm_xmm 15)) (va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet
0) (va_op_xmm_xmm 15) (va_op_reg_opr64_reg64 rRcx) (16 `op_Multiply` (rnd + 2) - 128) Secret)
(va_ttrue ()))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_AESNI_ctr32_6x_loop_body (va_mods:va_mods_t) (alg:algorithm) (rnd:nat) (key_words:(seq
nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (init0:quad32) (init1:quad32) (init2:quad32)
(init3:quad32) (init4:quad32) (init5:quad32) : (va_quickCode unit
(va_code_AESNI_ctr32_6x_loop_body alg rnd)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1118 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VAESNI_enc (va_op_xmm_xmm 9) (va_op_xmm_xmm 9) (va_op_xmm_xmm 15)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1119 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VAESNI_enc (va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_xmm_xmm 15)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1120 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VAESNI_enc (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_xmm_xmm 15)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1121 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VAESNI_enc (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_xmm_xmm 15)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1122 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VAESNI_enc (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_xmm_xmm 15)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 1123 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VAESNI_enc (va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_xmm_xmm 15)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1125 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_s.eval_rounds_reveal ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1126 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.commute_sub_bytes_shift_rows_forall ()) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1127 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 15)
(va_op_reg_opr64_reg64 rRcx) (16 `op_Multiply` (rnd + 2) - 128) Secret keys_b (rnd + 2))
(va_QEmpty (()))))))))))))
val va_lemma_AESNI_ctr32_6x_loop_body : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> rnd:nat
-> key_words:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> init0:quad32 ->
init1:quad32 -> init2:quad32 -> init3:quad32 -> init4:quad32 -> init5:quad32
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_ctr32_6x_loop_body alg rnd) va_s0 /\ va_get_ok
va_s0 /\ (sse_enabled /\ aes_reqs_offset alg key_words round_keys keys_b (va_get_reg64 rRcx
va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ rnd + 2 <
FStar.Seq.Base.length #quad32 round_keys /\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32
round_keys (rnd + 1) /\ va_get_xmm 9 va_s0 == Vale.AES.AES_s.eval_rounds init0 round_keys rnd
/\ va_get_xmm 10 va_s0 == Vale.AES.AES_s.eval_rounds init1 round_keys rnd /\ va_get_xmm 11
va_s0 == Vale.AES.AES_s.eval_rounds init2 round_keys rnd /\ va_get_xmm 12 va_s0 ==
Vale.AES.AES_s.eval_rounds init3 round_keys rnd /\ va_get_xmm 13 va_s0 ==
Vale.AES.AES_s.eval_rounds init4 round_keys rnd /\ va_get_xmm 14 va_s0 ==
Vale.AES.AES_s.eval_rounds init5 round_keys rnd)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(va_get_xmm 9 va_sM == Vale.AES.AES_s.eval_rounds init0 round_keys (rnd + 1) /\ va_get_xmm 10
va_sM == Vale.AES.AES_s.eval_rounds init1 round_keys (rnd + 1) /\ va_get_xmm 11 va_sM ==
Vale.AES.AES_s.eval_rounds init2 round_keys (rnd + 1) /\ va_get_xmm 12 va_sM ==
Vale.AES.AES_s.eval_rounds init3 round_keys (rnd + 1) /\ va_get_xmm 13 va_sM ==
Vale.AES.AES_s.eval_rounds init4 round_keys (rnd + 1) /\ va_get_xmm 14 va_sM ==
Vale.AES.AES_s.eval_rounds init5 round_keys (rnd + 1) /\ va_get_xmm 15 va_sM ==
FStar.Seq.Base.index #quad32 round_keys (rnd + 2)) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM
(va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_ok va_sM
va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_AESNI_ctr32_6x_loop_body va_b0 va_s0 alg rnd key_words round_keys keys_b init0 init1
init2 init3 init4 init5 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm
12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_ok] in
let va_qc = va_qcode_AESNI_ctr32_6x_loop_body va_mods alg rnd key_words round_keys keys_b init0
init1 init2 init3 init4 init5 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_AESNI_ctr32_6x_loop_body alg rnd) va_qc
va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 1066 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ (label va_range1
"***** POSTCONDITION NOT MET AT line 1109 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 9 va_sM == Vale.AES.AES_s.eval_rounds init0 round_keys (rnd + 1)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 1110 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 10 va_sM == Vale.AES.AES_s.eval_rounds init1 round_keys (rnd + 1)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 1111 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 11 va_sM == Vale.AES.AES_s.eval_rounds init2 round_keys (rnd + 1)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 1112 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 12 va_sM == Vale.AES.AES_s.eval_rounds init3 round_keys (rnd + 1)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 1113 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 13 va_sM == Vale.AES.AES_s.eval_rounds init4 round_keys (rnd + 1)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 1114 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 14 va_sM == Vale.AES.AES_s.eval_rounds init5 round_keys (rnd + 1)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 1116 column 43 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 round_keys (rnd + 2)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12;
va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_ctr32_6x_loop_body (alg:algorithm) (rnd:nat) (key_words:(seq nat32))
(round_keys:(seq quad32)) (keys_b:buffer128) (init0:quad32) (init1:quad32) (init2:quad32)
(init3:quad32) (init4:quad32) (init5:quad32) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ aes_reqs_offset alg key_words round_keys keys_b (va_get_reg64
rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ rnd + 2 <
FStar.Seq.Base.length #quad32 round_keys /\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32
round_keys (rnd + 1) /\ va_get_xmm 9 va_s0 == Vale.AES.AES_s.eval_rounds init0 round_keys rnd
/\ va_get_xmm 10 va_s0 == Vale.AES.AES_s.eval_rounds init1 round_keys rnd /\ va_get_xmm 11
va_s0 == Vale.AES.AES_s.eval_rounds init2 round_keys rnd /\ va_get_xmm 12 va_s0 ==
Vale.AES.AES_s.eval_rounds init3 round_keys rnd /\ va_get_xmm 13 va_s0 ==
Vale.AES.AES_s.eval_rounds init4 round_keys rnd /\ va_get_xmm 14 va_s0 ==
Vale.AES.AES_s.eval_rounds init5 round_keys rnd) /\ (forall (va_x_xmm9:quad32)
(va_x_xmm10:quad32) (va_x_xmm11:quad32) (va_x_xmm12:quad32) (va_x_xmm13:quad32)
(va_x_xmm14:quad32) (va_x_xmm15:quad32) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags
va_x_efl (va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13 va_x_xmm13
(va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 9
va_x_xmm9 va_s0))))))) in va_get_ok va_sM /\ (va_get_xmm 9 va_sM == Vale.AES.AES_s.eval_rounds
init0 round_keys (rnd + 1) /\ va_get_xmm 10 va_sM == Vale.AES.AES_s.eval_rounds init1
round_keys (rnd + 1) /\ va_get_xmm 11 va_sM == Vale.AES.AES_s.eval_rounds init2 round_keys (rnd
+ 1) /\ va_get_xmm 12 va_sM == Vale.AES.AES_s.eval_rounds init3 round_keys (rnd + 1) /\
va_get_xmm 13 va_sM == Vale.AES.AES_s.eval_rounds init4 round_keys (rnd + 1) /\ va_get_xmm 14
va_sM == Vale.AES.AES_s.eval_rounds init5 round_keys (rnd + 1) /\ va_get_xmm 15 va_sM ==
FStar.Seq.Base.index #quad32 round_keys (rnd + 2)) ==> va_k va_sM (())))
val va_wpProof_AESNI_ctr32_6x_loop_body : alg:algorithm -> rnd:nat -> key_words:(seq nat32) ->
round_keys:(seq quad32) -> keys_b:buffer128 -> init0:quad32 -> init1:quad32 -> init2:quad32 ->
init3:quad32 -> init4:quad32 -> init5: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_AESNI_ctr32_6x_loop_body alg rnd key_words round_keys
keys_b init0 init1 init2 init3 init4 init5 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_ctr32_6x_loop_body alg rnd)
([va_Mod_flags; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11;
va_Mod_xmm 10; va_Mod_xmm 9]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_ctr32_6x_loop_body alg rnd key_words round_keys keys_b init0 init1 init2 init3
init4 init5 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_ctr32_6x_loop_body (va_code_AESNI_ctr32_6x_loop_body alg rnd)
va_s0 alg rnd key_words round_keys keys_b init0 init1 init2 init3 init4 init5 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM
(va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM
(va_update_xmm 9 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12;
va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AESNI_ctr32_6x_loop_body (alg:algorithm) (rnd:nat) (key_words:(seq nat32))
(round_keys:(seq quad32)) (keys_b:buffer128) (init0:quad32) (init1:quad32) (init2:quad32)
(init3:quad32) (init4:quad32) (init5:quad32) : (va_quickCode unit
(va_code_AESNI_ctr32_6x_loop_body alg rnd)) =
(va_QProc (va_code_AESNI_ctr32_6x_loop_body alg rnd) ([va_Mod_flags; va_Mod_xmm 15; va_Mod_xmm
14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9])
(va_wp_AESNI_ctr32_6x_loop_body alg rnd key_words round_keys keys_b init0 init1 init2 init3
init4 init5) (va_wpProof_AESNI_ctr32_6x_loop_body alg rnd key_words round_keys keys_b init0
init1 init2 init3 init4 init5))
//--
//-- AESNI_ctr32_6x_loop_recursive
val va_code_AESNI_ctr32_6x_loop_recursive : alg:algorithm -> rnd:nat -> Tot va_code(decreases
%[alg;rnd])
[@ "opaque_to_smt"]
let rec va_code_AESNI_ctr32_6x_loop_recursive alg rnd =
(va_Block (va_CCons (if (rnd > 0) then va_Block (va_CCons (va_code_AESNI_ctr32_6x_loop_recursive
alg (rnd - 1)) (va_CNil ())) else va_Block (va_CNil ())) (va_CCons
(va_code_AESNI_ctr32_6x_loop_body alg rnd) (va_CNil ()))))
val va_codegen_success_AESNI_ctr32_6x_loop_recursive : alg:algorithm -> rnd:nat -> Tot
va_pbool(decreases %[alg;rnd])
[@ "opaque_to_smt"]
let rec va_codegen_success_AESNI_ctr32_6x_loop_recursive alg rnd =
(va_pbool_and (if (rnd > 0) then va_pbool_and (va_codegen_success_AESNI_ctr32_6x_loop_recursive
alg (rnd - 1)) (va_ttrue ()) else va_ttrue ()) (va_pbool_and
(va_codegen_success_AESNI_ctr32_6x_loop_body alg rnd) (va_ttrue ())))
val va_lemma_AESNI_ctr32_6x_loop_recursive : va_b0:va_code -> va_s0:va_state -> alg:algorithm ->
rnd:nat -> key_words:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> init0:quad32
-> init1:quad32 -> init2:quad32 -> init3:quad32 -> init4:quad32 -> init5:quad32
-> Ghost (va_state & va_fuel)(decreases
%[va_b0;va_s0;alg;rnd;key_words;round_keys;keys_b;init0;init1;init2;init3;init4;init5])
(requires (va_require_total va_b0 (va_code_AESNI_ctr32_6x_loop_recursive alg rnd) va_s0 /\
va_get_ok va_s0 /\ (sse_enabled /\ aes_reqs_offset alg key_words round_keys keys_b
(va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ rnd + 2 <
FStar.Seq.Base.length #quad32 round_keys /\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32
round_keys 1 /\ va_get_xmm 9 va_s0 == Vale.AES.AES_s.eval_rounds init0 round_keys 0 /\
va_get_xmm 10 va_s0 == Vale.AES.AES_s.eval_rounds init1 round_keys 0 /\ va_get_xmm 11 va_s0 ==
Vale.AES.AES_s.eval_rounds init2 round_keys 0 /\ va_get_xmm 12 va_s0 ==
Vale.AES.AES_s.eval_rounds init3 round_keys 0 /\ va_get_xmm 13 va_s0 ==
Vale.AES.AES_s.eval_rounds init4 round_keys 0 /\ va_get_xmm 14 va_s0 ==
Vale.AES.AES_s.eval_rounds init5 round_keys 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(va_get_xmm 9 va_sM == Vale.AES.AES_s.eval_rounds init0 round_keys (rnd + 1) /\ va_get_xmm 10
va_sM == Vale.AES.AES_s.eval_rounds init1 round_keys (rnd + 1) /\ va_get_xmm 11 va_sM ==
Vale.AES.AES_s.eval_rounds init2 round_keys (rnd + 1) /\ va_get_xmm 12 va_sM ==
Vale.AES.AES_s.eval_rounds init3 round_keys (rnd + 1) /\ va_get_xmm 13 va_sM ==
Vale.AES.AES_s.eval_rounds init4 round_keys (rnd + 1) /\ va_get_xmm 14 va_sM ==
Vale.AES.AES_s.eval_rounds init5 round_keys (rnd + 1) /\ va_get_xmm 15 va_sM ==
FStar.Seq.Base.index #quad32 round_keys (rnd + 2)) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM
(va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_ok va_sM
va_s0)))))))))))
[@"opaque_to_smt"]
let rec va_lemma_AESNI_ctr32_6x_loop_recursive va_b0 va_s0 alg rnd key_words round_keys keys_b
init0 init1 init2 init3 init4 init5 =
va_reveal_opaque (`%va_code_AESNI_ctr32_6x_loop_recursive) (va_code_AESNI_ctr32_6x_loop_recursive
alg rnd);
let (va_old_s:va_state) = va_s0 in
let (va_b1:va_codes) = va_get_block va_b0 in
let va_b10 = va_tl va_b1 in
let va_c10 = va_hd va_b1 in
let (va_fc10, va_s10) =
(
if (rnd > 0) then
(
let va_b11 = va_get_block va_c10 in
let (va_s12, va_fc12) = va_lemma_AESNI_ctr32_6x_loop_recursive (va_hd va_b11) va_s0 alg (rnd
- 1) key_words round_keys keys_b init0 init1 init2 init3 init4 init5 in
let va_b12 = va_tl va_b11 in
let (va_s10, va_f12) = va_lemma_empty_total va_s12 va_b12 in
let va_fc10 = va_lemma_merge_total va_b11 va_s0 va_fc12 va_s12 va_f12 va_s10 in
(va_fc10, va_s10)
)
else
(
let va_b13 = va_get_block va_c10 in
let (va_s10, va_fc10) = va_lemma_empty_total va_s0 va_b13 in
(va_fc10, va_s10)
)
) in
let (va_s14, va_fc14) = va_lemma_AESNI_ctr32_6x_loop_body (va_hd va_b10) va_s10 alg rnd key_words
round_keys keys_b init0 init1 init2 init3 init4 init5 in
let va_b14 = va_tl va_b10 in
let (va_sM, va_f14) = va_lemma_empty_total va_s14 va_b14 in
let va_f10 = va_lemma_merge_total va_b10 va_s10 va_fc14 va_s14 va_f14 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc10 va_s10 va_f10 va_sM in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_ctr32_6x_loop_recursive (alg:algorithm) (rnd:nat) (key_words:(seq nat32))
(round_keys:(seq quad32)) (keys_b:buffer128) (init0:quad32) (init1:quad32) (init2:quad32)
(init3:quad32) (init4:quad32) (init5:quad32) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ aes_reqs_offset alg key_words round_keys keys_b (va_get_reg64
rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ rnd + 2 <
FStar.Seq.Base.length #quad32 round_keys /\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32
round_keys 1 /\ va_get_xmm 9 va_s0 == Vale.AES.AES_s.eval_rounds init0 round_keys 0 /\
va_get_xmm 10 va_s0 == Vale.AES.AES_s.eval_rounds init1 round_keys 0 /\ va_get_xmm 11 va_s0 ==
Vale.AES.AES_s.eval_rounds init2 round_keys 0 /\ va_get_xmm 12 va_s0 ==
Vale.AES.AES_s.eval_rounds init3 round_keys 0 /\ va_get_xmm 13 va_s0 ==
Vale.AES.AES_s.eval_rounds init4 round_keys 0 /\ va_get_xmm 14 va_s0 ==
Vale.AES.AES_s.eval_rounds init5 round_keys 0) /\ (forall (va_x_xmm9:quad32)
(va_x_xmm10:quad32) (va_x_xmm11:quad32) (va_x_xmm12:quad32) (va_x_xmm13:quad32)
(va_x_xmm14:quad32) (va_x_xmm15:quad32) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags
va_x_efl (va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13 va_x_xmm13
(va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 9
va_x_xmm9 va_s0))))))) in va_get_ok va_sM /\ (va_get_xmm 9 va_sM == Vale.AES.AES_s.eval_rounds
init0 round_keys (rnd + 1) /\ va_get_xmm 10 va_sM == Vale.AES.AES_s.eval_rounds init1
round_keys (rnd + 1) /\ va_get_xmm 11 va_sM == Vale.AES.AES_s.eval_rounds init2 round_keys (rnd
+ 1) /\ va_get_xmm 12 va_sM == Vale.AES.AES_s.eval_rounds init3 round_keys (rnd + 1) /\
va_get_xmm 13 va_sM == Vale.AES.AES_s.eval_rounds init4 round_keys (rnd + 1) /\ va_get_xmm 14
va_sM == Vale.AES.AES_s.eval_rounds init5 round_keys (rnd + 1) /\ va_get_xmm 15 va_sM ==
FStar.Seq.Base.index #quad32 round_keys (rnd + 2)) ==> va_k va_sM (())))
val va_wpProof_AESNI_ctr32_6x_loop_recursive : alg:algorithm -> rnd:nat -> key_words:(seq nat32) ->
round_keys:(seq quad32) -> keys_b:buffer128 -> init0:quad32 -> init1:quad32 -> init2:quad32 ->
init3:quad32 -> init4:quad32 -> init5: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_AESNI_ctr32_6x_loop_recursive alg rnd key_words round_keys
keys_b init0 init1 init2 init3 init4 init5 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_ctr32_6x_loop_recursive alg rnd)
([va_Mod_flags; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11;
va_Mod_xmm 10; va_Mod_xmm 9]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_ctr32_6x_loop_recursive alg rnd key_words round_keys keys_b init0 init1 init2
init3 init4 init5 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_ctr32_6x_loop_recursive
(va_code_AESNI_ctr32_6x_loop_recursive alg rnd) va_s0 alg rnd key_words round_keys keys_b init0
init1 init2 init3 init4 init5 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM
(va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM
(va_update_xmm 9 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12;
va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AESNI_ctr32_6x_loop_recursive (alg:algorithm) (rnd:nat) (key_words:(seq nat32))
(round_keys:(seq quad32)) (keys_b:buffer128) (init0:quad32) (init1:quad32) (init2:quad32)
(init3:quad32) (init4:quad32) (init5:quad32) : (va_quickCode unit
(va_code_AESNI_ctr32_6x_loop_recursive alg rnd)) =
(va_QProc (va_code_AESNI_ctr32_6x_loop_recursive alg rnd) ([va_Mod_flags; va_Mod_xmm 15;
va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9])
(va_wp_AESNI_ctr32_6x_loop_recursive alg rnd key_words round_keys keys_b init0 init1 init2
init3 init4 init5) (va_wpProof_AESNI_ctr32_6x_loop_recursive alg rnd key_words round_keys
keys_b init0 init1 init2 init3 init4 init5))
//--
//-- AESNI_ctr32_6x_round9
#push-options "--z3rlimit 100"
val va_code_AESNI_ctr32_6x_round9 : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_AESNI_ctr32_6x_round9 alg =
(va_Block (va_CCons (if (alg = AES_128) then va_Block (va_CCons (va_code_Load128_buffer
(va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 3) (va_op_reg_opr64_reg64 rRcx) (160 - 128)
Secret) (va_CNil ())) else va_Block (va_CCons (va_code_Load128_buffer
(va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 3) (va_op_reg_opr64_reg64 rRcx) (224 - 128)
Secret) (va_CNil ()))) (va_CCons (va_code_VAESNI_enc (va_op_xmm_xmm 9) (va_op_xmm_xmm 9)
(va_op_xmm_xmm 15)) (va_CCons (va_code_Mem128_lemma ()) (va_CCons (va_code_VPxor (va_op_xmm_xmm
4) (va_op_xmm_xmm 3) (va_opr_code_Mem128 (va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi)
0 Secret)) (va_CCons (va_code_VAESNI_enc (va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_xmm_xmm
15)) (va_CCons (va_code_Mem128_lemma ()) (va_CCons (va_code_VPxor (va_op_xmm_xmm 5)
(va_op_xmm_xmm 3) (va_opr_code_Mem128 (va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 16
Secret)) (va_CCons (va_code_VAESNI_enc (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_xmm_xmm
15)) (va_CCons (va_code_Mem128_lemma ()) (va_CCons (va_code_VPxor (va_op_xmm_xmm 6)
(va_op_xmm_xmm 3) (va_opr_code_Mem128 (va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 32
Secret)) (va_CCons (va_code_VAESNI_enc (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_xmm_xmm
15)) (va_CCons (va_code_Mem128_lemma ()) (va_CCons (va_code_VPxor (va_op_xmm_xmm 8)
(va_op_xmm_xmm 3) (va_opr_code_Mem128 (va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 48
Secret)) (va_CCons (va_code_VAESNI_enc (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_xmm_xmm
15)) (va_CCons (va_code_Mem128_lemma ()) (va_CCons (va_code_VPxor (va_op_xmm_xmm 2)
(va_op_xmm_xmm 3) (va_opr_code_Mem128 (va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 64
Secret)) (va_CCons (va_code_VAESNI_enc (va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_xmm_xmm
15)) (va_CCons (va_code_Mem128_lemma ()) (va_CCons (va_code_VPxor (va_op_xmm_xmm 3)
(va_op_xmm_xmm 3) (va_opr_code_Mem128 (va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 80
Secret)) (va_CCons (va_code_AddLea64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRdi)
(va_const_opr64 96)) (va_CNil ()))))))))))))))))))))))
val va_codegen_success_AESNI_ctr32_6x_round9 : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_AESNI_ctr32_6x_round9 alg =
(va_pbool_and (if (alg = AES_128) then va_pbool_and (va_codegen_success_Load128_buffer
(va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 3) (va_op_reg_opr64_reg64 rRcx) (160 - 128)
Secret) (va_ttrue ()) else va_pbool_and (va_codegen_success_Load128_buffer
(va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 3) (va_op_reg_opr64_reg64 rRcx) (224 - 128)
Secret) (va_ttrue ())) (va_pbool_and (va_codegen_success_VAESNI_enc (va_op_xmm_xmm 9)
(va_op_xmm_xmm 9) (va_op_xmm_xmm 15)) (va_pbool_and (va_codegen_success_Mem128_lemma ())
(va_pbool_and (va_codegen_success_VPxor (va_op_xmm_xmm 4) (va_op_xmm_xmm 3) (va_opr_code_Mem128
(va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 0 Secret)) (va_pbool_and
(va_codegen_success_VAESNI_enc (va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_xmm_xmm 15))
(va_pbool_and (va_codegen_success_Mem128_lemma ()) (va_pbool_and (va_codegen_success_VPxor
(va_op_xmm_xmm 5) (va_op_xmm_xmm 3) (va_opr_code_Mem128 (va_op_heaplet_mem_heaplet 6)
(va_op_reg64_reg64 rRdi) 16 Secret)) (va_pbool_and (va_codegen_success_VAESNI_enc
(va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_xmm_xmm 15)) (va_pbool_and
(va_codegen_success_Mem128_lemma ()) (va_pbool_and (va_codegen_success_VPxor (va_op_xmm_xmm 6)
(va_op_xmm_xmm 3) (va_opr_code_Mem128 (va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 32
Secret)) (va_pbool_and (va_codegen_success_VAESNI_enc (va_op_xmm_xmm 12) (va_op_xmm_xmm 12)
(va_op_xmm_xmm 15)) (va_pbool_and (va_codegen_success_Mem128_lemma ()) (va_pbool_and
(va_codegen_success_VPxor (va_op_xmm_xmm 8) (va_op_xmm_xmm 3) (va_opr_code_Mem128
(va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 48 Secret)) (va_pbool_and
(va_codegen_success_VAESNI_enc (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_xmm_xmm 15))
(va_pbool_and (va_codegen_success_Mem128_lemma ()) (va_pbool_and (va_codegen_success_VPxor
(va_op_xmm_xmm 2) (va_op_xmm_xmm 3) (va_opr_code_Mem128 (va_op_heaplet_mem_heaplet 6)
(va_op_reg64_reg64 rRdi) 64 Secret)) (va_pbool_and (va_codegen_success_VAESNI_enc
(va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_xmm_xmm 15)) (va_pbool_and
(va_codegen_success_Mem128_lemma ()) (va_pbool_and (va_codegen_success_VPxor (va_op_xmm_xmm 3)
(va_op_xmm_xmm 3) (va_opr_code_Mem128 (va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 80
Secret)) (va_pbool_and (va_codegen_success_AddLea64 (va_op_dst_opr64_reg64 rRdi)
(va_op_opr64_reg64 rRdi) (va_const_opr64 96)) (va_ttrue ())))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_AESNI_ctr32_6x_round9 (va_mods:va_mods_t) (alg:algorithm) (count:nat) (in_b:buffer128)
(key_words:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (init0:quad32)
(init1:quad32) (init2:quad32) (init3:quad32) (init4:quad32) (init5:quad32) : (va_quickCode unit
(va_code_AESNI_ctr32_6x_round9 alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 1260 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_qInlineIf va_mods (alg = AES_128) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1261 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 3) (va_op_reg_opr64_reg64
rRcx) (160 - 128) Secret keys_b 10) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) ->
va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1263 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 3) (va_op_reg_opr64_reg64
rRcx) (224 - 128) Secret keys_b 14) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1266 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VAESNI_enc (va_op_xmm_xmm 9) (va_op_xmm_xmm 9) (va_op_xmm_xmm 15)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1267 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Mem128_lemma (va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 0 Secret in_b
(count `op_Multiply` 6 + 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1267 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 4) (va_op_xmm_xmm 3) (va_opr_code_Mem128
(va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 0 Secret)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1268 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VAESNI_enc (va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_xmm_xmm 15)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1269 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Mem128_lemma (va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 16 Secret in_b
(count `op_Multiply` 6 + 1)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1269 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 5) (va_op_xmm_xmm 3) (va_opr_code_Mem128
(va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 16 Secret)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1270 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VAESNI_enc (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_xmm_xmm 15)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1271 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Mem128_lemma (va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 32 Secret in_b
(count `op_Multiply` 6 + 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 6) (va_op_xmm_xmm 3) (va_opr_code_Mem128
(va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 32 Secret)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1272 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VAESNI_enc (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_xmm_xmm 15)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1273 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Mem128_lemma (va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 48 Secret in_b
(count `op_Multiply` 6 + 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1273 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 8) (va_op_xmm_xmm 3) (va_opr_code_Mem128
(va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 48 Secret)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1274 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VAESNI_enc (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_xmm_xmm 15)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1275 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Mem128_lemma (va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 64 Secret in_b
(count `op_Multiply` 6 + 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1275 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 2) (va_op_xmm_xmm 3) (va_opr_code_Mem128
(va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 64 Secret)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1276 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VAESNI_enc (va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_xmm_xmm 15)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1277 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Mem128_lemma (va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 80 Secret in_b
(count `op_Multiply` 6 + 5)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 1277 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 3) (va_op_xmm_xmm 3) (va_opr_code_Mem128
(va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 80 Secret)) (fun (va_s:va_state) _ ->
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1279 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_s.eval_rounds_reveal ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1280 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.commute_sub_bytes_shift_rows_forall ()) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRdi) (va_const_opr64 96))
(va_QEmpty (())))))))))))))))))))))))))
val va_lemma_AESNI_ctr32_6x_round9 : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> count:nat
-> in_b:buffer128 -> key_words:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 ->
init0:quad32 -> init1:quad32 -> init2:quad32 -> init3:quad32 -> init4:quad32 -> init5:quad32
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_ctr32_6x_round9 alg) va_s0 /\ va_get_ok va_s0 /\
(sse_enabled /\ Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rRdi va_s0) in_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret /\
va_get_reg64 rRdi va_s0 + 96 < pow2_64 /\ aes_reqs_offset alg key_words round_keys keys_b
(va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ va_get_xmm
15 va_s0 == FStar.Seq.Base.index #quad32 round_keys (Vale.AES.AES_common_s.nr alg - 1) /\
va_get_xmm 9 va_s0 == Vale.AES.AES_s.eval_rounds init0 round_keys (Vale.AES.AES_common_s.nr alg
- 2) /\ va_get_xmm 10 va_s0 == Vale.AES.AES_s.eval_rounds init1 round_keys
(Vale.AES.AES_common_s.nr alg - 2) /\ va_get_xmm 11 va_s0 == Vale.AES.AES_s.eval_rounds init2
round_keys (Vale.AES.AES_common_s.nr alg - 2) /\ va_get_xmm 12 va_s0 ==
Vale.AES.AES_s.eval_rounds init3 round_keys (Vale.AES.AES_common_s.nr alg - 2) /\ va_get_xmm 13
va_s0 == Vale.AES.AES_s.eval_rounds init4 round_keys (Vale.AES.AES_common_s.nr alg - 2) /\
va_get_xmm 14 va_s0 == Vale.AES.AES_s.eval_rounds init5 round_keys (Vale.AES.AES_common_s.nr
alg - 2))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(va_get_xmm 9 va_sM == Vale.AES.AES_s.eval_rounds init0 round_keys (Vale.AES.AES_common_s.nr
alg - 1) /\ va_get_xmm 10 va_sM == Vale.AES.AES_s.eval_rounds init1 round_keys
(Vale.AES.AES_common_s.nr alg - 1) /\ va_get_xmm 11 va_sM == Vale.AES.AES_s.eval_rounds init2
round_keys (Vale.AES.AES_common_s.nr alg - 1) /\ va_get_xmm 12 va_sM ==
Vale.AES.AES_s.eval_rounds init3 round_keys (Vale.AES.AES_common_s.nr alg - 1) /\ va_get_xmm 13
va_sM == Vale.AES.AES_s.eval_rounds init4 round_keys (Vale.AES.AES_common_s.nr alg - 1) /\
va_get_xmm 14 va_sM == Vale.AES.AES_s.eval_rounds init5 round_keys (Vale.AES.AES_common_s.nr
alg - 1) /\ (let rk = FStar.Seq.Base.index #quad32 round_keys (Vale.AES.AES_common_s.nr alg) in
va_get_xmm 4 va_sM == Vale.Def.Types_s.quad32_xor rk (Vale.X64.Decls.buffer128_read in_b (count
`op_Multiply` 6 + 0) (va_get_mem_heaplet 6 va_sM)) /\ va_get_xmm 5 va_sM ==
Vale.Def.Types_s.quad32_xor rk (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 1)
(va_get_mem_heaplet 6 va_sM)) /\ va_get_xmm 6 va_sM == Vale.Def.Types_s.quad32_xor rk
(Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 2) (va_get_mem_heaplet 6 va_sM))
/\ va_get_xmm 8 va_sM == Vale.Def.Types_s.quad32_xor rk (Vale.X64.Decls.buffer128_read in_b
(count `op_Multiply` 6 + 3) (va_get_mem_heaplet 6 va_sM)) /\ va_get_xmm 2 va_sM ==
Vale.Def.Types_s.quad32_xor rk (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 4)
(va_get_mem_heaplet 6 va_sM)) /\ va_get_xmm 3 va_sM == Vale.Def.Types_s.quad32_xor rk
(Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 5) (va_get_mem_heaplet 6 va_sM))
/\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 + 96)) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM
(va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 9 va_sM
(va_update_xmm 8 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM
(va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_reg64 rRdi va_sM (va_update_ok va_sM
va_s0))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_AESNI_ctr32_6x_round9 va_b0 va_s0 alg count in_b key_words round_keys keys_b init0
init1 init2 init3 init4 init5 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm
12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_reg64 rRdi; va_Mod_ok] in
let va_qc = va_qcode_AESNI_ctr32_6x_round9 va_mods alg count in_b key_words round_keys keys_b
init0 init1 init2 init3 init4 init5 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_AESNI_ctr32_6x_round9 alg) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 1191 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ (label va_range1
"***** POSTCONDITION NOT MET AT line 1243 column 66 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 9 va_sM == Vale.AES.AES_s.eval_rounds init0 round_keys (Vale.AES.AES_common_s.nr
alg - 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1244 column 66 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 10 va_sM == Vale.AES.AES_s.eval_rounds init1 round_keys (Vale.AES.AES_common_s.nr
alg - 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1245 column 66 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 11 va_sM == Vale.AES.AES_s.eval_rounds init2 round_keys (Vale.AES.AES_common_s.nr
alg - 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1246 column 66 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 12 va_sM == Vale.AES.AES_s.eval_rounds init3 round_keys (Vale.AES.AES_common_s.nr
alg - 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1247 column 66 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 13 va_sM == Vale.AES.AES_s.eval_rounds init4 round_keys (Vale.AES.AES_common_s.nr
alg - 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1248 column 66 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 14 va_sM == Vale.AES.AES_s.eval_rounds init5 round_keys (Vale.AES.AES_common_s.nr
alg - 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1250 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(let rk = FStar.Seq.Base.index #quad32 round_keys (Vale.AES.AES_common_s.nr alg) in label
va_range1
"***** POSTCONDITION NOT MET AT line 1251 column 73 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 4 va_sM == Vale.Def.Types_s.quad32_xor rk (Vale.X64.Decls.buffer128_read in_b
(count `op_Multiply` 6 + 0) (va_get_mem_heaplet 6 va_sM))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1252 column 73 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 5 va_sM == Vale.Def.Types_s.quad32_xor rk (Vale.X64.Decls.buffer128_read in_b
(count `op_Multiply` 6 + 1) (va_get_mem_heaplet 6 va_sM))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1253 column 73 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 6 va_sM == Vale.Def.Types_s.quad32_xor rk (Vale.X64.Decls.buffer128_read in_b
(count `op_Multiply` 6 + 2) (va_get_mem_heaplet 6 va_sM))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1254 column 73 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 8 va_sM == Vale.Def.Types_s.quad32_xor rk (Vale.X64.Decls.buffer128_read in_b
(count `op_Multiply` 6 + 3) (va_get_mem_heaplet 6 va_sM))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1255 column 73 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Types_s.quad32_xor rk (Vale.X64.Decls.buffer128_read in_b
(count `op_Multiply` 6 + 4) (va_get_mem_heaplet 6 va_sM))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1256 column 73 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 3 va_sM == Vale.Def.Types_s.quad32_xor rk (Vale.X64.Decls.buffer128_read in_b
(count `op_Multiply` 6 + 5) (va_get_mem_heaplet 6 va_sM))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1258 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 + 96)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12;
va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_reg64 rRdi; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_ctr32_6x_round9 (alg:algorithm) (count:nat) (in_b:buffer128) (key_words:(seq
nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (init0:quad32) (init1:quad32) (init2:quad32)
(init3:quad32) (init4:quad32) (init5:quad32) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_s0) (va_get_reg64 rRdi va_s0) in_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0)
Secret /\ va_get_reg64 rRdi va_s0 + 96 < pow2_64 /\ aes_reqs_offset alg key_words round_keys
keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\
va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32 round_keys (Vale.AES.AES_common_s.nr alg -
1) /\ va_get_xmm 9 va_s0 == Vale.AES.AES_s.eval_rounds init0 round_keys
(Vale.AES.AES_common_s.nr alg - 2) /\ va_get_xmm 10 va_s0 == Vale.AES.AES_s.eval_rounds init1
round_keys (Vale.AES.AES_common_s.nr alg - 2) /\ va_get_xmm 11 va_s0 ==
Vale.AES.AES_s.eval_rounds init2 round_keys (Vale.AES.AES_common_s.nr alg - 2) /\ va_get_xmm 12
va_s0 == Vale.AES.AES_s.eval_rounds init3 round_keys (Vale.AES.AES_common_s.nr alg - 2) /\
va_get_xmm 13 va_s0 == Vale.AES.AES_s.eval_rounds init4 round_keys (Vale.AES.AES_common_s.nr
alg - 2) /\ va_get_xmm 14 va_s0 == Vale.AES.AES_s.eval_rounds init5 round_keys
(Vale.AES.AES_common_s.nr alg - 2)) /\ (forall (va_x_rdi:nat64) (va_x_xmm2:quad32)
(va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32) (va_x_xmm8:quad32)
(va_x_xmm9:quad32) (va_x_xmm10:quad32) (va_x_xmm11:quad32) (va_x_xmm12:quad32)
(va_x_xmm13:quad32) (va_x_xmm14:quad32) (va_x_xmm15:quad32) (va_x_efl:Vale.X64.Flags.t) . let
va_sM = va_upd_flags va_x_efl (va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14 va_x_xmm14 (va_upd_xmm
13 va_x_xmm13 (va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10 va_x_xmm10
(va_upd_xmm 9 va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5 va_x_xmm5
(va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2 (va_upd_reg64 rRdi
va_x_rdi va_s0)))))))))))))) in va_get_ok va_sM /\ (va_get_xmm 9 va_sM ==
Vale.AES.AES_s.eval_rounds init0 round_keys (Vale.AES.AES_common_s.nr alg - 1) /\ va_get_xmm 10
va_sM == Vale.AES.AES_s.eval_rounds init1 round_keys (Vale.AES.AES_common_s.nr alg - 1) /\
va_get_xmm 11 va_sM == Vale.AES.AES_s.eval_rounds init2 round_keys (Vale.AES.AES_common_s.nr
alg - 1) /\ va_get_xmm 12 va_sM == Vale.AES.AES_s.eval_rounds init3 round_keys
(Vale.AES.AES_common_s.nr alg - 1) /\ va_get_xmm 13 va_sM == Vale.AES.AES_s.eval_rounds init4
round_keys (Vale.AES.AES_common_s.nr alg - 1) /\ va_get_xmm 14 va_sM ==
Vale.AES.AES_s.eval_rounds init5 round_keys (Vale.AES.AES_common_s.nr alg - 1) /\ (let rk =
FStar.Seq.Base.index #quad32 round_keys (Vale.AES.AES_common_s.nr alg) in va_get_xmm 4 va_sM ==
Vale.Def.Types_s.quad32_xor rk (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 0)
(va_get_mem_heaplet 6 va_sM)) /\ va_get_xmm 5 va_sM == Vale.Def.Types_s.quad32_xor rk
(Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 1) (va_get_mem_heaplet 6 va_sM))
/\ va_get_xmm 6 va_sM == Vale.Def.Types_s.quad32_xor rk (Vale.X64.Decls.buffer128_read in_b
(count `op_Multiply` 6 + 2) (va_get_mem_heaplet 6 va_sM)) /\ va_get_xmm 8 va_sM ==
Vale.Def.Types_s.quad32_xor rk (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 3)
(va_get_mem_heaplet 6 va_sM)) /\ va_get_xmm 2 va_sM == Vale.Def.Types_s.quad32_xor rk
(Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 4) (va_get_mem_heaplet 6 va_sM))
/\ va_get_xmm 3 va_sM == Vale.Def.Types_s.quad32_xor rk (Vale.X64.Decls.buffer128_read in_b
(count `op_Multiply` 6 + 5) (va_get_mem_heaplet 6 va_sM)) /\ va_get_reg64 rRdi va_sM ==
va_get_reg64 rRdi va_s0 + 96)) ==> va_k va_sM (())))
val va_wpProof_AESNI_ctr32_6x_round9 : alg:algorithm -> count:nat -> in_b:buffer128 ->
key_words:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> init0:quad32 ->
init1:quad32 -> init2:quad32 -> init3:quad32 -> init4:quad32 -> init5: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_AESNI_ctr32_6x_round9 alg count in_b key_words round_keys
keys_b init0 init1 init2 init3 init4 init5 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_ctr32_6x_round9 alg)
([va_Mod_flags; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11;
va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm
3; va_Mod_xmm 2; va_Mod_reg64 rRdi]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_ctr32_6x_round9 alg count in_b key_words round_keys keys_b init0 init1 init2
init3 init4 init5 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_ctr32_6x_round9 (va_code_AESNI_ctr32_6x_round9 alg) va_s0 alg
count in_b key_words round_keys keys_b init0 init1 init2 init3 init4 init5 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM
(va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM
(va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM
(va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_reg64 rRdi
va_sM (va_update_ok va_sM va_s0)))))))))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12;
va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_reg64 rRdi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AESNI_ctr32_6x_round9 (alg:algorithm) (count:nat) (in_b:buffer128) (key_words:(seq
nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (init0:quad32) (init1:quad32) (init2:quad32)
(init3:quad32) (init4:quad32) (init5:quad32) : (va_quickCode unit (va_code_AESNI_ctr32_6x_round9
alg)) =
(va_QProc (va_code_AESNI_ctr32_6x_round9 alg) ([va_Mod_flags; va_Mod_xmm 15; va_Mod_xmm 14;
va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8;
va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_reg64 rRdi])
(va_wp_AESNI_ctr32_6x_round9 alg count in_b key_words round_keys keys_b init0 init1 init2 init3
init4 init5) (va_wpProof_AESNI_ctr32_6x_round9 alg count in_b key_words round_keys keys_b init0
init1 init2 init3 init4 init5))
#pop-options
//--
//-- AESNI_ctr32_6x_final
val va_code_AESNI_ctr32_6x_final : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_AESNI_ctr32_6x_final alg =
(va_Block (va_CCons (va_code_VAESNI_enc_last (va_op_xmm_xmm 9) (va_op_xmm_xmm 9) (va_op_xmm_xmm
4)) (va_CCons (va_code_VAESNI_enc_last (va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_xmm_xmm 5))
(va_CCons (va_code_VAESNI_enc_last (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_xmm_xmm 6))
(va_CCons (va_code_VAESNI_enc_last (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_xmm_xmm 8))
(va_CCons (va_code_VAESNI_enc_last (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_xmm_xmm 2))
(va_CCons (va_code_VAESNI_enc_last (va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_xmm_xmm 3))
(va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 9) 0 Secret) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 6)
(va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 10) 16 Secret) (va_CCons (va_code_Store128_buffer
(va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 11) 32 Secret)
(va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 12) 48 Secret) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 6)
(va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 13) 64 Secret) (va_CCons (va_code_Store128_buffer
(va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 14) 80 Secret)
(va_CCons (va_code_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi)
(va_const_opr64 96)) (va_CNil ())))))))))))))))
val va_codegen_success_AESNI_ctr32_6x_final : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_AESNI_ctr32_6x_final alg =
(va_pbool_and (va_codegen_success_VAESNI_enc_last (va_op_xmm_xmm 9) (va_op_xmm_xmm 9)
(va_op_xmm_xmm 4)) (va_pbool_and (va_codegen_success_VAESNI_enc_last (va_op_xmm_xmm 10)
(va_op_xmm_xmm 10) (va_op_xmm_xmm 5)) (va_pbool_and (va_codegen_success_VAESNI_enc_last
(va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_xmm_xmm 6)) (va_pbool_and
(va_codegen_success_VAESNI_enc_last (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_xmm_xmm 8))
(va_pbool_and (va_codegen_success_VAESNI_enc_last (va_op_xmm_xmm 13) (va_op_xmm_xmm 13)
(va_op_xmm_xmm 2)) (va_pbool_and (va_codegen_success_VAESNI_enc_last (va_op_xmm_xmm 14)
(va_op_xmm_xmm 14) (va_op_xmm_xmm 3)) (va_pbool_and (va_codegen_success_Store128_buffer
(va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 9) 0 Secret)
(va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 6)
(va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 10) 16 Secret) (va_pbool_and
(va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 11) 32 Secret) (va_pbool_and (va_codegen_success_Store128_buffer
(va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 12) 48 Secret)
(va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 6)
(va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 13) 64 Secret) (va_pbool_and
(va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 14) 80 Secret) (va_pbool_and (va_codegen_success_AddLea64 (va_op_dst_opr64_reg64
rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 96)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_AESNI_ctr32_6x_final (va_mods:va_mods_t) (alg:algorithm) (count:nat) (out_b:buffer128)
(key_words:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (init0:quad32)
(init1:quad32) (init2:quad32) (init3:quad32) (init4:quad32) (init5:quad32) (ctr0:quad32)
(ctr1:quad32) (ctr2:quad32) (ctr3:quad32) (ctr4:quad32) (ctr5:quad32) (plain0:quad32)
(plain1:quad32) (plain2:quad32) (plain3:quad32) (plain4:quad32) (plain5:quad32) : (va_quickCode
unit (va_code_AESNI_ctr32_6x_final alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1381 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VAESNI_enc_last (va_op_xmm_xmm 9) (va_op_xmm_xmm 9) (va_op_xmm_xmm 4)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1382 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VAESNI_enc_last (va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_xmm_xmm 5)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1383 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VAESNI_enc_last (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_xmm_xmm 6)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1384 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VAESNI_enc_last (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_xmm_xmm 8)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1385 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VAESNI_enc_last (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_xmm_xmm 2)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1386 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VAESNI_enc_last (va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_xmm_xmm 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1388 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 9) 0 Secret out_b (count `op_Multiply` 6 + 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1389 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 10) 16 Secret out_b (count `op_Multiply` 6 + 1)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1390 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 11) 32 Secret out_b (count `op_Multiply` 6 + 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1391 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 12) 48 Secret out_b (count `op_Multiply` 6 + 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1392 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 13) 64 Secret out_b (count `op_Multiply` 6 + 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1393 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 14) 80 Secret out_b (count `op_Multiply` 6 + 5)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 1395 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 96))
(fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1397 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes_forall ()) (let
(va_arg84:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = round_keys in let
(va_arg83:Vale.Def.Types_s.quad32) = va_get_xmm 9 va_s in let
(va_arg82:Vale.Def.Types_s.quad32) = va_get_xmm 9 va_old_s in let
(va_arg81:Vale.Def.Types_s.quad32) = init0 in let (va_arg80:Vale.Def.Types_s.quad32) = plain0
in let (va_arg79:Vale.Def.Types_s.quad32) = ctr0 in let
(va_arg78:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1398 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.finish_cipher_opt va_arg78 va_arg79 va_arg80 va_arg81
va_arg82 va_arg83 va_arg84) (let (va_arg77:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) =
round_keys in let (va_arg76:Vale.Def.Types_s.quad32) = va_get_xmm 10 va_s in let
(va_arg75:Vale.Def.Types_s.quad32) = va_get_xmm 10 va_old_s in let
(va_arg74:Vale.Def.Types_s.quad32) = init1 in let (va_arg73:Vale.Def.Types_s.quad32) = plain1
in let (va_arg72:Vale.Def.Types_s.quad32) = ctr1 in let
(va_arg71:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1399 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.finish_cipher_opt va_arg71 va_arg72 va_arg73 va_arg74
va_arg75 va_arg76 va_arg77) (let (va_arg70:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) =
round_keys in let (va_arg69:Vale.Def.Types_s.quad32) = va_get_xmm 11 va_s in let
(va_arg68:Vale.Def.Types_s.quad32) = va_get_xmm 11 va_old_s in let
(va_arg67:Vale.Def.Types_s.quad32) = init2 in let (va_arg66:Vale.Def.Types_s.quad32) = plain2
in let (va_arg65:Vale.Def.Types_s.quad32) = ctr2 in let
(va_arg64:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1400 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.finish_cipher_opt va_arg64 va_arg65 va_arg66 va_arg67
va_arg68 va_arg69 va_arg70) (let (va_arg63:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) =
round_keys in let (va_arg62:Vale.Def.Types_s.quad32) = va_get_xmm 12 va_s in let
(va_arg61:Vale.Def.Types_s.quad32) = va_get_xmm 12 va_old_s in let
(va_arg60:Vale.Def.Types_s.quad32) = init3 in let (va_arg59:Vale.Def.Types_s.quad32) = plain3
in let (va_arg58:Vale.Def.Types_s.quad32) = ctr3 in let
(va_arg57:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1401 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.finish_cipher_opt va_arg57 va_arg58 va_arg59 va_arg60
va_arg61 va_arg62 va_arg63) (let (va_arg56:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) =
round_keys in let (va_arg55:Vale.Def.Types_s.quad32) = va_get_xmm 13 va_s in let
(va_arg54:Vale.Def.Types_s.quad32) = va_get_xmm 13 va_old_s in let
(va_arg53:Vale.Def.Types_s.quad32) = init4 in let (va_arg52:Vale.Def.Types_s.quad32) = plain4
in let (va_arg51:Vale.Def.Types_s.quad32) = ctr4 in let
(va_arg50:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1402 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.finish_cipher_opt va_arg50 va_arg51 va_arg52 va_arg53
va_arg54 va_arg55 va_arg56) (let (va_arg49:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) =
round_keys in let (va_arg48:Vale.Def.Types_s.quad32) = va_get_xmm 14 va_s in let
(va_arg47:Vale.Def.Types_s.quad32) = va_get_xmm 14 va_old_s in let
(va_arg46:Vale.Def.Types_s.quad32) = init5 in let (va_arg45:Vale.Def.Types_s.quad32) = plain5
in let (va_arg44:Vale.Def.Types_s.quad32) = ctr5 in let
(va_arg43:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1403 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.finish_cipher_opt va_arg43 va_arg44 va_arg45 va_arg46
va_arg47 va_arg48 va_arg49) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 1404 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
((fun (alg:algorithm) (input_LE:quad32) (key:(seq nat32)) -> Vale.AES.AES_s.is_aes_key_LE alg
key) alg ctr0 key_words) (fun _ -> (fun (alg:algorithm) (input_LE:quad32) (key:(seq nat32)) ->
Vale.AES.AES_s.aes_encrypt_LE alg key input_LE == Vale.AES.AES_s.eval_cipher alg input_LE
(Vale.AES.AES_s.key_to_round_keys_LE alg key)) alg ctr0 key_words) (fun (_:unit) ->
finish_aes_encrypt_le alg ctr0 key_words) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 1405 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
((fun (alg:algorithm) (input_LE:quad32) (key:(seq nat32)) -> Vale.AES.AES_s.is_aes_key_LE alg
key) alg ctr1 key_words) (fun _ -> (fun (alg:algorithm) (input_LE:quad32) (key:(seq nat32)) ->
Vale.AES.AES_s.aes_encrypt_LE alg key input_LE == Vale.AES.AES_s.eval_cipher alg input_LE
(Vale.AES.AES_s.key_to_round_keys_LE alg key)) alg ctr1 key_words) (fun (_:unit) ->
finish_aes_encrypt_le alg ctr1 key_words) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 1406 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
((fun (alg:algorithm) (input_LE:quad32) (key:(seq nat32)) -> Vale.AES.AES_s.is_aes_key_LE alg
key) alg ctr2 key_words) (fun _ -> (fun (alg:algorithm) (input_LE:quad32) (key:(seq nat32)) ->
Vale.AES.AES_s.aes_encrypt_LE alg key input_LE == Vale.AES.AES_s.eval_cipher alg input_LE
(Vale.AES.AES_s.key_to_round_keys_LE alg key)) alg ctr2 key_words) (fun (_:unit) ->
finish_aes_encrypt_le alg ctr2 key_words) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 1407 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
((fun (alg:algorithm) (input_LE:quad32) (key:(seq nat32)) -> Vale.AES.AES_s.is_aes_key_LE alg
key) alg ctr3 key_words) (fun _ -> (fun (alg:algorithm) (input_LE:quad32) (key:(seq nat32)) ->
Vale.AES.AES_s.aes_encrypt_LE alg key input_LE == Vale.AES.AES_s.eval_cipher alg input_LE
(Vale.AES.AES_s.key_to_round_keys_LE alg key)) alg ctr3 key_words) (fun (_:unit) ->
finish_aes_encrypt_le alg ctr3 key_words) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 1408 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
((fun (alg:algorithm) (input_LE:quad32) (key:(seq nat32)) -> Vale.AES.AES_s.is_aes_key_LE alg
key) alg ctr4 key_words) (fun _ -> (fun (alg:algorithm) (input_LE:quad32) (key:(seq nat32)) ->
Vale.AES.AES_s.aes_encrypt_LE alg key input_LE == Vale.AES.AES_s.eval_cipher alg input_LE
(Vale.AES.AES_s.key_to_round_keys_LE alg key)) alg ctr4 key_words) (fun (_:unit) ->
finish_aes_encrypt_le alg ctr4 key_words) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 1409 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
((fun (alg:algorithm) (input_LE:quad32) (key:(seq nat32)) -> Vale.AES.AES_s.is_aes_key_LE alg
key) alg ctr5 key_words) (fun _ -> (fun (alg:algorithm) (input_LE:quad32) (key:(seq nat32)) ->
Vale.AES.AES_s.aes_encrypt_LE alg key input_LE == Vale.AES.AES_s.eval_cipher alg input_LE
(Vale.AES.AES_s.key_to_round_keys_LE alg key)) alg ctr5 key_words) (fun (_:unit) ->
finish_aes_encrypt_le alg ctr5 key_words) (va_QEmpty (())))))))))))))))))))))))))))))
val va_lemma_AESNI_ctr32_6x_final : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> count:nat
-> out_b:buffer128 -> key_words:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 ->
init0:quad32 -> init1:quad32 -> init2:quad32 -> init3:quad32 -> init4:quad32 -> init5:quad32 ->
ctr0:quad32 -> ctr1:quad32 -> ctr2:quad32 -> ctr3:quad32 -> ctr4:quad32 -> ctr5:quad32 ->
plain0:quad32 -> plain1:quad32 -> plain2:quad32 -> plain3:quad32 -> plain4:quad32 -> plain5:quad32
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_ctr32_6x_final alg) va_s0 /\ va_get_ok va_s0 /\
(sse_enabled /\ Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rRsi va_s0) out_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret /\
va_get_reg64 rRsi va_s0 + 96 < pow2_64 /\ aes_reqs_offset alg key_words round_keys keys_b
(va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ init0 ==
Vale.Def.Types_s.quad32_xor ctr0 (FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)
/\ init1 == Vale.Def.Types_s.quad32_xor ctr1 (FStar.Seq.Base.index #Vale.Def.Types_s.quad32
round_keys 0) /\ init2 == Vale.Def.Types_s.quad32_xor ctr2 (FStar.Seq.Base.index
#Vale.Def.Types_s.quad32 round_keys 0) /\ init3 == Vale.Def.Types_s.quad32_xor ctr3
(FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0) /\ init4 ==
Vale.Def.Types_s.quad32_xor ctr4 (FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)
/\ init5 == Vale.Def.Types_s.quad32_xor ctr5 (FStar.Seq.Base.index #Vale.Def.Types_s.quad32
round_keys 0) /\ va_get_xmm 9 va_s0 == Vale.AES.AES_s.eval_rounds init0 round_keys
(Vale.AES.AES_common_s.nr alg - 1) /\ va_get_xmm 10 va_s0 == Vale.AES.AES_s.eval_rounds init1
round_keys (Vale.AES.AES_common_s.nr alg - 1) /\ va_get_xmm 11 va_s0 ==
Vale.AES.AES_s.eval_rounds init2 round_keys (Vale.AES.AES_common_s.nr alg - 1) /\ va_get_xmm 12
va_s0 == Vale.AES.AES_s.eval_rounds init3 round_keys (Vale.AES.AES_common_s.nr alg - 1) /\
va_get_xmm 13 va_s0 == Vale.AES.AES_s.eval_rounds init4 round_keys (Vale.AES.AES_common_s.nr
alg - 1) /\ va_get_xmm 14 va_s0 == Vale.AES.AES_s.eval_rounds init5 round_keys
(Vale.AES.AES_common_s.nr alg - 1) /\ (let rk = FStar.Seq.Base.index #quad32 round_keys
(Vale.AES.AES_common_s.nr alg) in va_get_xmm 4 va_s0 == Vale.Def.Types_s.quad32_xor rk plain0
/\ va_get_xmm 5 va_s0 == Vale.Def.Types_s.quad32_xor rk plain1 /\ va_get_xmm 6 va_s0 ==
Vale.Def.Types_s.quad32_xor rk plain2 /\ va_get_xmm 8 va_s0 == Vale.Def.Types_s.quad32_xor rk
plain3 /\ va_get_xmm 2 va_s0 == Vale.Def.Types_s.quad32_xor rk plain4 /\ va_get_xmm 3 va_s0 ==
Vale.Def.Types_s.quad32_xor rk plain5))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(Vale.X64.Decls.modifies_buffer_specific128 out_b (va_get_mem_heaplet 6 va_s0)
(va_get_mem_heaplet 6 va_sM) (count `op_Multiply` 6 + 0) (count `op_Multiply` 6 + 5) /\
FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
out_b) 0 (6 `op_Multiply` count) == FStar.Seq.Base.slice #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) out_b) 0 (6 `op_Multiply` count) /\
va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + 96 /\ Vale.X64.Decls.buffer128_read out_b
(count `op_Multiply` 6 + 0) (va_get_mem_heaplet 6 va_sM) == va_get_xmm 9 va_sM /\
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 1) (va_get_mem_heaplet 6 va_sM) ==
va_get_xmm 10 va_sM /\ Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 2)
(va_get_mem_heaplet 6 va_sM) == va_get_xmm 11 va_sM /\ Vale.X64.Decls.buffer128_read out_b
(count `op_Multiply` 6 + 3) (va_get_mem_heaplet 6 va_sM) == va_get_xmm 12 va_sM /\
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 4) (va_get_mem_heaplet 6 va_sM) ==
va_get_xmm 13 va_sM /\ Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 5)
(va_get_mem_heaplet 6 va_sM) == va_get_xmm 14 va_sM /\ va_get_xmm 9 va_sM ==
Vale.Def.Types_s.quad32_xor plain0 (Vale.AES.AES_s.aes_encrypt_LE alg key_words ctr0) /\
va_get_xmm 10 va_sM == Vale.Def.Types_s.quad32_xor plain1 (Vale.AES.AES_s.aes_encrypt_LE alg
key_words ctr1) /\ va_get_xmm 11 va_sM == Vale.Def.Types_s.quad32_xor plain2
(Vale.AES.AES_s.aes_encrypt_LE alg key_words ctr2) /\ va_get_xmm 12 va_sM ==
Vale.Def.Types_s.quad32_xor plain3 (Vale.AES.AES_s.aes_encrypt_LE alg key_words ctr3) /\
va_get_xmm 13 va_sM == Vale.Def.Types_s.quad32_xor plain4 (Vale.AES.AES_s.aes_encrypt_LE alg
key_words ctr4) /\ va_get_xmm 14 va_sM == Vale.Def.Types_s.quad32_xor plain5
(Vale.AES.AES_s.aes_encrypt_LE alg key_words ctr5)) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_mem_heaplet 6 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm
13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm
9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4
va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_reg64 rRsi va_sM (va_update_ok
va_sM (va_update_mem va_sM va_s0))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_AESNI_ctr32_6x_final va_b0 va_s0 alg count out_b key_words round_keys keys_b init0
init1 init2 init3 init4 init5 ctr0 ctr1 ctr2 ctr3 ctr4 ctr5 plain0 plain1 plain2 plain3 plain4
plain5 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14;
va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8;
va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_reg64 rRsi;
va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_AESNI_ctr32_6x_final va_mods alg count out_b key_words round_keys keys_b
init0 init1 init2 init3 init4 init5 ctr0 ctr1 ctr2 ctr3 ctr4 ctr5 plain0 plain1 plain2 plain3
plain4 plain5 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_AESNI_ctr32_6x_final alg) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 1285 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ (label va_range1
"***** POSTCONDITION NOT MET AT line 1362 column 84 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 out_b (va_get_mem_heaplet 6 va_s0)
(va_get_mem_heaplet 6 va_sM) (count `op_Multiply` 6 + 0) (count `op_Multiply` 6 + 5)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 1363 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
out_b) 0 (6 `op_Multiply` count) == FStar.Seq.Base.slice #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) out_b) 0 (6 `op_Multiply` count)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 1364 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + 96) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1366 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 0) (va_get_mem_heaplet 6 va_sM)
== va_get_xmm 9 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1367 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 1) (va_get_mem_heaplet 6 va_sM)
== va_get_xmm 10 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1368 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 2) (va_get_mem_heaplet 6 va_sM)
== va_get_xmm 11 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1369 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 3) (va_get_mem_heaplet 6 va_sM)
== va_get_xmm 12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1370 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 4) (va_get_mem_heaplet 6 va_sM)
== va_get_xmm 13 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1371 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 5) (va_get_mem_heaplet 6 va_sM)
== va_get_xmm 14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1373 column 75 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor plain0 (Vale.AES.AES_s.aes_encrypt_LE alg
key_words ctr0)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1374 column 75 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 10 va_sM == Vale.Def.Types_s.quad32_xor plain1 (Vale.AES.AES_s.aes_encrypt_LE alg
key_words ctr1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1375 column 75 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 11 va_sM == Vale.Def.Types_s.quad32_xor plain2 (Vale.AES.AES_s.aes_encrypt_LE alg
key_words ctr2)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1376 column 75 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 12 va_sM == Vale.Def.Types_s.quad32_xor plain3 (Vale.AES.AES_s.aes_encrypt_LE alg
key_words ctr3)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1377 column 75 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 13 va_sM == Vale.Def.Types_s.quad32_xor plain4 (Vale.AES.AES_s.aes_encrypt_LE alg
key_words ctr4)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1378 column 75 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 14 va_sM == Vale.Def.Types_s.quad32_xor plain5 (Vale.AES.AES_s.aes_encrypt_LE alg
key_words ctr5)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm
13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 6;
va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_reg64 rRsi; va_Mod_ok;
va_Mod_mem]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_ctr32_6x_final (alg:algorithm) (count:nat) (out_b:buffer128) (key_words:(seq
nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (init0:quad32) (init1:quad32) (init2:quad32)
(init3:quad32) (init4:quad32) (init5:quad32) (ctr0:quad32) (ctr1:quad32) (ctr2:quad32)
(ctr3:quad32) (ctr4:quad32) (ctr5:quad32) (plain0:quad32) (plain1:quad32) (plain2:quad32)
(plain3:quad32) (plain4:quad32) (plain5:quad32) (va_s0:va_state) (va_k:(va_state -> unit ->
Type0)) : Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6
va_s0) (va_get_reg64 rRsi va_s0) out_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0)
Secret /\ va_get_reg64 rRsi va_s0 + 96 < pow2_64 /\ aes_reqs_offset alg key_words round_keys
keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\
init0 == Vale.Def.Types_s.quad32_xor ctr0 (FStar.Seq.Base.index #Vale.Def.Types_s.quad32
round_keys 0) /\ init1 == Vale.Def.Types_s.quad32_xor ctr1 (FStar.Seq.Base.index
#Vale.Def.Types_s.quad32 round_keys 0) /\ init2 == Vale.Def.Types_s.quad32_xor ctr2
(FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0) /\ init3 ==
Vale.Def.Types_s.quad32_xor ctr3 (FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)
/\ init4 == Vale.Def.Types_s.quad32_xor ctr4 (FStar.Seq.Base.index #Vale.Def.Types_s.quad32
round_keys 0) /\ init5 == Vale.Def.Types_s.quad32_xor ctr5 (FStar.Seq.Base.index
#Vale.Def.Types_s.quad32 round_keys 0) /\ va_get_xmm 9 va_s0 == Vale.AES.AES_s.eval_rounds
init0 round_keys (Vale.AES.AES_common_s.nr alg - 1) /\ va_get_xmm 10 va_s0 ==
Vale.AES.AES_s.eval_rounds init1 round_keys (Vale.AES.AES_common_s.nr alg - 1) /\ va_get_xmm 11
va_s0 == Vale.AES.AES_s.eval_rounds init2 round_keys (Vale.AES.AES_common_s.nr alg - 1) /\
va_get_xmm 12 va_s0 == Vale.AES.AES_s.eval_rounds init3 round_keys (Vale.AES.AES_common_s.nr
alg - 1) /\ va_get_xmm 13 va_s0 == Vale.AES.AES_s.eval_rounds init4 round_keys
(Vale.AES.AES_common_s.nr alg - 1) /\ va_get_xmm 14 va_s0 == Vale.AES.AES_s.eval_rounds init5
round_keys (Vale.AES.AES_common_s.nr alg - 1) /\ (let rk = FStar.Seq.Base.index #quad32
round_keys (Vale.AES.AES_common_s.nr alg) in va_get_xmm 4 va_s0 == Vale.Def.Types_s.quad32_xor
rk plain0 /\ va_get_xmm 5 va_s0 == Vale.Def.Types_s.quad32_xor rk plain1 /\ va_get_xmm 6 va_s0
== Vale.Def.Types_s.quad32_xor rk plain2 /\ va_get_xmm 8 va_s0 == Vale.Def.Types_s.quad32_xor
rk plain3 /\ va_get_xmm 2 va_s0 == Vale.Def.Types_s.quad32_xor rk plain4 /\ va_get_xmm 3 va_s0
== Vale.Def.Types_s.quad32_xor rk plain5)) /\ (forall (va_x_mem:vale_heap) (va_x_rsi:nat64)
(va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32)
(va_x_xmm8:quad32) (va_x_xmm9:quad32) (va_x_xmm10:quad32) (va_x_xmm11:quad32)
(va_x_xmm12:quad32) (va_x_xmm13:quad32) (va_x_xmm14:quad32) (va_x_xmm15:quad32)
(va_x_heap6:vale_heap) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl
(va_upd_mem_heaplet 6 va_x_heap6 (va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14 va_x_xmm14
(va_upd_xmm 13 va_x_xmm13 (va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10
va_x_xmm10 (va_upd_xmm 9 va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 6 va_x_xmm6 (va_upd_xmm
5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2
(va_upd_reg64 rRsi va_x_rsi (va_upd_mem va_x_mem va_s0)))))))))))))))) in va_get_ok va_sM /\
(Vale.X64.Decls.modifies_buffer_specific128 out_b (va_get_mem_heaplet 6 va_s0)
(va_get_mem_heaplet 6 va_sM) (count `op_Multiply` 6 + 0) (count `op_Multiply` 6 + 5) /\
FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
out_b) 0 (6 `op_Multiply` count) == FStar.Seq.Base.slice #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) out_b) 0 (6 `op_Multiply` count) /\
va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + 96 /\ Vale.X64.Decls.buffer128_read out_b
(count `op_Multiply` 6 + 0) (va_get_mem_heaplet 6 va_sM) == va_get_xmm 9 va_sM /\
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 1) (va_get_mem_heaplet 6 va_sM) ==
va_get_xmm 10 va_sM /\ Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 2)
(va_get_mem_heaplet 6 va_sM) == va_get_xmm 11 va_sM /\ Vale.X64.Decls.buffer128_read out_b
(count `op_Multiply` 6 + 3) (va_get_mem_heaplet 6 va_sM) == va_get_xmm 12 va_sM /\
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 4) (va_get_mem_heaplet 6 va_sM) ==
va_get_xmm 13 va_sM /\ Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 5)
(va_get_mem_heaplet 6 va_sM) == va_get_xmm 14 va_sM /\ va_get_xmm 9 va_sM ==
Vale.Def.Types_s.quad32_xor plain0 (Vale.AES.AES_s.aes_encrypt_LE alg key_words ctr0) /\
va_get_xmm 10 va_sM == Vale.Def.Types_s.quad32_xor plain1 (Vale.AES.AES_s.aes_encrypt_LE alg
key_words ctr1) /\ va_get_xmm 11 va_sM == Vale.Def.Types_s.quad32_xor plain2
(Vale.AES.AES_s.aes_encrypt_LE alg key_words ctr2) /\ va_get_xmm 12 va_sM ==
Vale.Def.Types_s.quad32_xor plain3 (Vale.AES.AES_s.aes_encrypt_LE alg key_words ctr3) /\
va_get_xmm 13 va_sM == Vale.Def.Types_s.quad32_xor plain4 (Vale.AES.AES_s.aes_encrypt_LE alg
key_words ctr4) /\ va_get_xmm 14 va_sM == Vale.Def.Types_s.quad32_xor plain5
(Vale.AES.AES_s.aes_encrypt_LE alg key_words ctr5)) ==> va_k va_sM (())))
val va_wpProof_AESNI_ctr32_6x_final : alg:algorithm -> count:nat -> out_b:buffer128 ->
key_words:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> init0:quad32 ->
init1:quad32 -> init2:quad32 -> init3:quad32 -> init4:quad32 -> init5:quad32 -> ctr0:quad32 ->
ctr1:quad32 -> ctr2:quad32 -> ctr3:quad32 -> ctr4:quad32 -> ctr5:quad32 -> plain0:quad32 ->
plain1:quad32 -> plain2:quad32 -> plain3:quad32 -> plain4:quad32 -> plain5: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_AESNI_ctr32_6x_final alg count out_b key_words round_keys
keys_b init0 init1 init2 init3 init4 init5 ctr0 ctr1 ctr2 ctr3 ctr4 ctr5 plain0 plain1 plain2
plain3 plain4 plain5 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_ctr32_6x_final alg)
([va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm
12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_reg64 rRsi; va_Mod_mem]) va_s0 va_k ((va_sM,
va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_ctr32_6x_final alg count out_b key_words round_keys keys_b init0 init1 init2
init3 init4 init5 ctr0 ctr1 ctr2 ctr3 ctr4 ctr5 plain0 plain1 plain2 plain3 plain4 plain5 va_s0
va_k =
let (va_sM, va_f0) = va_lemma_AESNI_ctr32_6x_final (va_code_AESNI_ctr32_6x_final alg) va_s0 alg
count out_b key_words round_keys keys_b init0 init1 init2 init3 init4 init5 ctr0 ctr1 ctr2 ctr3
ctr4 ctr5 plain0 plain1 plain2 plain3 plain4 plain5 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 6 va_sM (va_update_xmm 15
va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11
va_sM (va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 6
va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2
va_sM (va_update_reg64 rRsi va_sM (va_update_ok va_sM (va_update_mem va_sM
va_s0)))))))))))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm
13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 6;
va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_reg64 rRsi; va_Mod_mem]) va_sM
va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AESNI_ctr32_6x_final (alg:algorithm) (count:nat) (out_b:buffer128) (key_words:(seq
nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (init0:quad32) (init1:quad32) (init2:quad32)
(init3:quad32) (init4:quad32) (init5:quad32) (ctr0:quad32) (ctr1:quad32) (ctr2:quad32)
(ctr3:quad32) (ctr4:quad32) (ctr5:quad32) (plain0:quad32) (plain1:quad32) (plain2:quad32)
(plain3:quad32) (plain4:quad32) (plain5:quad32) : (va_quickCode unit
(va_code_AESNI_ctr32_6x_final alg)) =
(va_QProc (va_code_AESNI_ctr32_6x_final alg) ([va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_xmm 15;
va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9;
va_Mod_xmm 8; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2;
va_Mod_reg64 rRsi; va_Mod_mem]) (va_wp_AESNI_ctr32_6x_final alg count out_b key_words
round_keys keys_b init0 init1 init2 init3 init4 init5 ctr0 ctr1 ctr2 ctr3 ctr4 ctr5 plain0
plain1 plain2 plain3 plain4 plain5) (va_wpProof_AESNI_ctr32_6x_final alg count out_b key_words
round_keys keys_b init0 init1 init2 init3 init4 init5 ctr0 ctr1 ctr2 ctr3 ctr4 ctr5 plain0
plain1 plain2 plain3 plain4 plain5))
//--
//-- AESNI_ctr32_6x
val va_code_AESNI_ctr32_6x : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_AESNI_ctr32_6x alg =
(va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons
(va_Block (va_CNil ())) (va_CCons (va_code_AESNI_ctr32_6x_preamble alg) (va_CCons (if (alg =
AES_128) then va_Block (va_CCons (va_code_AESNI_ctr32_6x_loop_recursive alg 7) (va_CNil ()))
else va_Block (va_CCons (va_code_AESNI_ctr32_6x_loop_recursive alg 11) (va_CNil ()))) (va_CCons
(va_code_AESNI_ctr32_6x_round9 alg) (va_CCons (va_code_AESNI_ctr32_6x_final alg) (va_CCons
(va_Block (va_CNil ())) (va_CNil ())))))))))))))
val va_codegen_success_AESNI_ctr32_6x : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_AESNI_ctr32_6x alg =
(va_pbool_and (va_codegen_success_AESNI_ctr32_6x_preamble alg) (va_pbool_and (if (alg = AES_128)
then va_pbool_and (va_codegen_success_AESNI_ctr32_6x_loop_recursive alg 7) (va_ttrue ()) else
va_pbool_and (va_codegen_success_AESNI_ctr32_6x_loop_recursive alg 11) (va_ttrue ()))
(va_pbool_and (va_codegen_success_AESNI_ctr32_6x_round9 alg) (va_pbool_and
(va_codegen_success_AESNI_ctr32_6x_final alg) (va_ttrue ())))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_AESNI_ctr32_6x (va_mods:va_mods_t) (alg:algorithm) (count:nat) (in_b:buffer128)
(out_b:buffer128) (plain_quads:(seq quad32)) (key_words:(seq nat32)) (round_keys:(seq quad32))
(keys_b:buffer128) (ctr_BE:quad32) (ctr_BE_orig:quad32) : (va_quickCode unit
(va_code_AESNI_ctr32_6x alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 1492 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
((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)))
Vale.Def.Types_s.quad32 round_keys 0) (fun _ -> let (init0:Vale.Def.Types_s.quad32) =
Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 0)) (FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0) in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 1493 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
((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)))
Vale.Def.Types_s.quad32 round_keys 0) (fun _ -> let (init1:Vale.Def.Types_s.quad32) =
Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 1)) (FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0) in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 1494 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
((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)))
Vale.Def.Types_s.quad32 round_keys 0) (fun _ -> let (init2:Vale.Def.Types_s.quad32) =
Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 2)) (FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0) in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 1495 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
((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)))
Vale.Def.Types_s.quad32 round_keys 0) (fun _ -> let (init3:Vale.Def.Types_s.quad32) =
Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 3)) (FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0) in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 1496 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
((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)))
Vale.Def.Types_s.quad32 round_keys 0) (fun _ -> let (init4:Vale.Def.Types_s.quad32) =
Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 4)) (FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0) in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 1497 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
((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)))
Vale.Def.Types_s.quad32 round_keys 0) (fun _ -> let (init5:Vale.Def.Types_s.quad32) =
Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 5)) (FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 1499 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_AESNI_ctr32_6x_preamble alg key_words round_keys keys_b ctr_BE) (fun (va_s:va_state)
_ -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 1500 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_qInlineIf va_mods (alg = AES_128) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1501 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_AESNI_ctr32_6x_loop_recursive alg 7 key_words round_keys keys_b init0 init1 init2
init3 init4 init5) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_AESNI_ctr32_6x_loop_recursive alg 11 key_words round_keys keys_b init0 init1 init2
init3 init4 init5) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 1505 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_AESNI_ctr32_6x_round9 alg count in_b key_words round_keys keys_b init0 init1 init2
init3 init4 init5) (fun (va_s:va_state) _ -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 1506 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_AESNI_ctr32_6x_final alg count out_b key_words round_keys keys_b init0 init1 init2
init3 init4 init5 (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 0))
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 1))
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 2))
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 3))
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 4))
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 5))
(Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 0) (va_get_mem_heaplet 6 va_s))
(Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 1) (va_get_mem_heaplet 6 va_s))
(Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 2) (va_get_mem_heaplet 6 va_s))
(Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 3) (va_get_mem_heaplet 6 va_s))
(Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 4) (va_get_mem_heaplet 6 va_s))
(Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 5) (va_get_mem_heaplet 6 va_s)))
(fun (va_s:va_state) _ -> let (plain:(FStar.Seq.Base.seq Vale.X64.Decls.quad32)) =
Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old_s) in_b in let (cipher:(FStar.Seq.Base.seq
Vale.X64.Decls.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b in let
(bound:(va_int_at_least 0)) = count `op_Multiply` 6 in va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 1523 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(bound >= 0 /\ bound <= 4294967295) (fun _ -> let (va_arg61:Vale.Def.Types_s.quad32) =
ctr_BE_orig in let (va_arg60:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = key_words in let
(va_arg59:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = cipher in let
(va_arg58:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old_s) out_b in let (va_arg57:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = plain_quads in let (va_arg56:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = plain_quads in let (va_arg55:Vale.Def.Types_s.nat32) = bound in let
(va_arg54:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1523 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_partial_opaque_ignores_postfix va_arg54 va_arg55 va_arg56
va_arg57 va_arg58 va_arg59 va_arg60 va_arg61) (let (va_arg53:Vale.Def.Types_s.quad32) =
ctr_BE_orig in let (va_arg52:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = key_words in let
(va_arg51:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = cipher in let
(va_arg50:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = plain_quads in let
(va_arg49:Prims.nat) = bound in let (va_arg48:Vale.AES.AES_common_s.algorithm) = alg in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1525 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_partial_extend6 va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53) (va_QEmpty (()))))))))))))))))
val va_lemma_AESNI_ctr32_6x : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> count:nat ->
in_b:buffer128 -> out_b:buffer128 -> plain_quads:(seq quad32) -> key_words:(seq nat32) ->
round_keys:(seq quad32) -> keys_b:buffer128 -> ctr_BE:quad32 -> ctr_BE_orig:quad32
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_ctr32_6x alg) va_s0 /\ va_get_ok va_s0 /\
(sse_enabled /\ Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rRdi va_s0) in_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
out_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret /\
Vale.AES.GCTR.partial_seq_agreement plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_s0) in_b) (count `op_Multiply` 6) (count `op_Multiply` 6 + 6) /\ va_get_reg64 rRdi va_s0 +
96 < pow2_64 /\ va_get_reg64 rRsi va_s0 + 96 < pow2_64 /\ aes_reqs_offset alg key_words
round_keys keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout
va_s0) /\ va_get_reg64 rRcx va_s0 - 96 >= 0 /\ va_get_xmm 0 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ count `op_Multiply` 6 + 6 <
pow2_32 /\ ctr_BE == Vale.AES.GCTR.inc32lite ctr_BE_orig (count `op_Multiply` 6) /\ va_get_xmm
1 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 0) /\
va_get_reg64 rRbx va_s0 == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_BE `op_Modulus` 256
/\ Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` count) plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) out_b) key_words ctr_BE_orig)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(Vale.X64.Decls.modifies_buffer_specific128 out_b (va_get_mem_heaplet 6 va_s0)
(va_get_mem_heaplet 6 va_sM) (count `op_Multiply` 6 + 0) (count `op_Multiply` 6 + 5) /\
FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
out_b) 0 (6 `op_Multiply` count) == FStar.Seq.Base.slice #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) out_b) 0 (6 `op_Multiply` count) /\
va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 + 96 /\ va_get_reg64 rRsi va_sM ==
va_get_reg64 rRsi va_s0 + 96 /\ va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 6) /\ (0 <= va_get_reg64 rRbx va_sM /\ va_get_reg64 rRbx va_sM
< 256) /\ va_get_reg64 rRbx va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0
(Vale.AES.GCTR.inc32lite ctr_BE 6) `op_Modulus` 256 /\ Vale.X64.Decls.buffer128_read out_b
(count `op_Multiply` 6 + 0) (va_get_mem_heaplet 6 va_sM) == va_get_xmm 9 va_sM /\
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 1) (va_get_mem_heaplet 6 va_sM) ==
va_get_xmm 10 va_sM /\ Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 2)
(va_get_mem_heaplet 6 va_sM) == va_get_xmm 11 va_sM /\ Vale.X64.Decls.buffer128_read out_b
(count `op_Multiply` 6 + 3) (va_get_mem_heaplet 6 va_sM) == va_get_xmm 12 va_sM /\
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 4) (va_get_mem_heaplet 6 va_sM) ==
va_get_xmm 13 va_sM /\ Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 5)
(va_get_mem_heaplet 6 va_sM) == va_get_xmm 14 va_sM /\ Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (count + 1)) plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out_b)
key_words ctr_BE_orig) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 6
va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12
va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8
va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3
va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_reg64 rR12 va_sM
(va_update_reg64 rR11 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRsi va_sM
(va_update_reg64 rRdi va_sM (va_update_ok va_sM (va_update_mem va_sM
va_s0)))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_AESNI_ctr32_6x va_b0 va_s0 alg count in_b out_b plain_quads key_words round_keys
keys_b ctr_BE ctr_BE_orig =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14;
va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8;
va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi;
va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_AESNI_ctr32_6x va_mods alg count in_b out_b plain_quads key_words round_keys
keys_b ctr_BE ctr_BE_orig in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_AESNI_ctr32_6x alg) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 1412 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ (label va_range1
"***** POSTCONDITION NOT MET AT line 1473 column 84 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 out_b (va_get_mem_heaplet 6 va_s0)
(va_get_mem_heaplet 6 va_sM) (count `op_Multiply` 6 + 0) (count `op_Multiply` 6 + 5)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 1474 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
out_b) 0 (6 `op_Multiply` count) == FStar.Seq.Base.slice #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) out_b) 0 (6 `op_Multiply` count)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 1475 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 + 96) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1476 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + 96) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1478 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE
6)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1479 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(0 <= va_get_reg64 rRbx va_sM /\ va_get_reg64 rRbx va_sM < 256) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1480 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 (Vale.AES.GCTR.inc32lite
ctr_BE 6) `op_Modulus` 256) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1482 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 0) (va_get_mem_heaplet 6 va_sM)
== va_get_xmm 9 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1483 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 1) (va_get_mem_heaplet 6 va_sM)
== va_get_xmm 10 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1484 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 2) (va_get_mem_heaplet 6 va_sM)
== va_get_xmm 11 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1485 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 3) (va_get_mem_heaplet 6 va_sM)
== va_get_xmm 12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1486 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 4) (va_get_mem_heaplet 6 va_sM)
== va_get_xmm 13 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1487 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 5) (va_get_mem_heaplet 6 va_sM)
== va_get_xmm 14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1490 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` (count + 1)) plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) out_b) key_words ctr_BE_orig))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm
13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 6;
va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_ok;
va_Mod_mem]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_ctr32_6x (alg:algorithm) (count:nat) (in_b:buffer128) (out_b:buffer128)
(plain_quads:(seq quad32)) (key_words:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128)
(ctr_BE:quad32) (ctr_BE_orig:quad32) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_s0) (va_get_reg64 rRdi va_s0) in_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi
va_s0) out_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret /\
Vale.AES.GCTR.partial_seq_agreement plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_s0) in_b) (count `op_Multiply` 6) (count `op_Multiply` 6 + 6) /\ va_get_reg64 rRdi va_s0 +
96 < pow2_64 /\ va_get_reg64 rRsi va_s0 + 96 < pow2_64 /\ aes_reqs_offset alg key_words
round_keys keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout
va_s0) /\ va_get_reg64 rRcx va_s0 - 96 >= 0 /\ va_get_xmm 0 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ count `op_Multiply` 6 + 6 <
pow2_32 /\ ctr_BE == Vale.AES.GCTR.inc32lite ctr_BE_orig (count `op_Multiply` 6) /\ va_get_xmm
1 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 0) /\
va_get_reg64 rRbx va_s0 == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_BE `op_Modulus` 256
/\ Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` count) plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) out_b) key_words ctr_BE_orig) /\ (forall (va_x_mem:vale_heap)
(va_x_rdi:nat64) (va_x_rsi:nat64) (va_x_rbx:nat64) (va_x_r11:nat64) (va_x_r12:nat64)
(va_x_xmm1:quad32) (va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32)
(va_x_xmm6:quad32) (va_x_xmm8:quad32) (va_x_xmm9:quad32) (va_x_xmm10:quad32)
(va_x_xmm11:quad32) (va_x_xmm12:quad32) (va_x_xmm13:quad32) (va_x_xmm14:quad32)
(va_x_xmm15:quad32) (va_x_heap6:vale_heap) (va_x_efl:Vale.X64.Flags.t) . let va_sM =
va_upd_flags va_x_efl (va_upd_mem_heaplet 6 va_x_heap6 (va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14
va_x_xmm14 (va_upd_xmm 13 va_x_xmm13 (va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11 va_x_xmm11
(va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 9 va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 6
va_x_xmm6 (va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2
va_x_xmm2 (va_upd_xmm 1 va_x_xmm1 (va_upd_reg64 rR12 va_x_r12 (va_upd_reg64 rR11 va_x_r11
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdi va_x_rdi (va_upd_mem
va_x_mem va_s0))))))))))))))))))))) in va_get_ok va_sM /\
(Vale.X64.Decls.modifies_buffer_specific128 out_b (va_get_mem_heaplet 6 va_s0)
(va_get_mem_heaplet 6 va_sM) (count `op_Multiply` 6 + 0) (count `op_Multiply` 6 + 5) /\
FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
out_b) 0 (6 `op_Multiply` count) == FStar.Seq.Base.slice #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) out_b) 0 (6 `op_Multiply` count) /\
va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 + 96 /\ va_get_reg64 rRsi va_sM ==
va_get_reg64 rRsi va_s0 + 96 /\ va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 6) /\ (0 <= va_get_reg64 rRbx va_sM /\ va_get_reg64 rRbx va_sM
< 256) /\ va_get_reg64 rRbx va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0
(Vale.AES.GCTR.inc32lite ctr_BE 6) `op_Modulus` 256 /\ Vale.X64.Decls.buffer128_read out_b
(count `op_Multiply` 6 + 0) (va_get_mem_heaplet 6 va_sM) == va_get_xmm 9 va_sM /\
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 1) (va_get_mem_heaplet 6 va_sM) ==
va_get_xmm 10 va_sM /\ Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 2)
(va_get_mem_heaplet 6 va_sM) == va_get_xmm 11 va_sM /\ Vale.X64.Decls.buffer128_read out_b
(count `op_Multiply` 6 + 3) (va_get_mem_heaplet 6 va_sM) == va_get_xmm 12 va_sM /\
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 4) (va_get_mem_heaplet 6 va_sM) ==
va_get_xmm 13 va_sM /\ Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 5)
(va_get_mem_heaplet 6 va_sM) == va_get_xmm 14 va_sM /\ Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (count + 1)) plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out_b)
key_words ctr_BE_orig) ==> va_k va_sM (())))
val va_wpProof_AESNI_ctr32_6x : alg:algorithm -> count:nat -> in_b:buffer128 -> out_b:buffer128 ->
plain_quads:(seq quad32) -> key_words:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128
-> ctr_BE:quad32 -> ctr_BE_orig: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_AESNI_ctr32_6x alg count in_b out_b plain_quads key_words
round_keys keys_b ctr_BE ctr_BE_orig va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_ctr32_6x alg) ([va_Mod_flags;
va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm
11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4;
va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64
rRbx; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_ctr32_6x alg count in_b out_b plain_quads key_words round_keys keys_b ctr_BE
ctr_BE_orig va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_ctr32_6x (va_code_AESNI_ctr32_6x alg) va_s0 alg count in_b
out_b plain_quads key_words round_keys keys_b ctr_BE ctr_BE_orig in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 6 va_sM (va_update_xmm 15
va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11
va_sM (va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 6
va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2
va_sM (va_update_xmm 1 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM
(va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm
13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 6;
va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_mem]) va_sM
va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AESNI_ctr32_6x (alg:algorithm) (count:nat) (in_b:buffer128) (out_b:buffer128)
(plain_quads:(seq quad32)) (key_words:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128)
(ctr_BE:quad32) (ctr_BE_orig:quad32) : (va_quickCode unit (va_code_AESNI_ctr32_6x alg)) =
(va_QProc (va_code_AESNI_ctr32_6x alg) ([va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_xmm 15;
va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9;
va_Mod_xmm 8; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm
1; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRsi; va_Mod_reg64
rRdi; va_Mod_mem]) (va_wp_AESNI_ctr32_6x alg count in_b out_b plain_quads key_words round_keys
keys_b ctr_BE ctr_BE_orig) (va_wpProof_AESNI_ctr32_6x alg count in_b out_b plain_quads
key_words round_keys keys_b ctr_BE ctr_BE_orig))
//--
//-- Encrypt_save_and_shuffle_output
val va_code_Encrypt_save_and_shuffle_output : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Encrypt_save_and_shuffle_output () =
(va_Block (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64
rRsi) (va_op_xmm_xmm 9) (0 - 96) Secret) (va_CCons (va_code_VPshufb (va_op_xmm_xmm 9)
(va_op_xmm_xmm 9) (va_op_xmm_xmm 0)) (va_CCons (va_code_VPxor (va_op_xmm_xmm 1) (va_op_xmm_xmm
1) (va_op_opr128_xmm 7)) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 6)
(va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 10) (0 - 80) Secret) (va_CCons (va_code_VPshufb
(va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_xmm_xmm 0)) (va_CCons (va_code_Store128_buffer
(va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 11) (0 - 64) Secret)
(va_CCons (va_code_VPshufb (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_xmm_xmm 0)) (va_CCons
(va_code_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 12) (0 - 48) Secret) (va_CCons (va_code_VPshufb (va_op_xmm_xmm 12)
(va_op_xmm_xmm 12) (va_op_xmm_xmm 0)) (va_CCons (va_code_Store128_buffer
(va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 13) (0 - 32) Secret)
(va_CCons (va_code_VPshufb (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_xmm_xmm 0)) (va_CCons
(va_code_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 14) (0 - 16) Secret) (va_CCons (va_code_VPshufb (va_op_xmm_xmm 14)
(va_op_xmm_xmm 14) (va_op_xmm_xmm 0)) (va_CNil ())))))))))))))))
val va_codegen_success_Encrypt_save_and_shuffle_output : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Encrypt_save_and_shuffle_output () =
(va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 6)
(va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 9) (0 - 96) Secret) (va_pbool_and
(va_codegen_success_VPshufb (va_op_xmm_xmm 9) (va_op_xmm_xmm 9) (va_op_xmm_xmm 0))
(va_pbool_and (va_codegen_success_VPxor (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_opr128_xmm
7)) (va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 6)
(va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 10) (0 - 80) Secret) (va_pbool_and
(va_codegen_success_VPshufb (va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_xmm_xmm 0))
(va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 6)
(va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 11) (0 - 64) Secret) (va_pbool_and
(va_codegen_success_VPshufb (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_xmm_xmm 0))
(va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 6)
(va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 12) (0 - 48) Secret) (va_pbool_and
(va_codegen_success_VPshufb (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_xmm_xmm 0))
(va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 6)
(va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 13) (0 - 32) Secret) (va_pbool_and
(va_codegen_success_VPshufb (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_xmm_xmm 0))
(va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 6)
(va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 14) (0 - 16) Secret) (va_pbool_and
(va_codegen_success_VPshufb (va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_xmm_xmm 0)) (va_ttrue
()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Encrypt_save_and_shuffle_output (va_mods:va_mods_t) (count:nat) (out_b:buffer128) :
(va_quickCode unit (va_code_Encrypt_save_and_shuffle_output ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1573 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 9) (0 - 96) Secret out_b (count `op_Multiply` 6 + 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1574 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 9) (va_op_xmm_xmm 9) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1575 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_opr128_xmm 7)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1576 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 10) (0 - 80) Secret out_b (count `op_Multiply` 6 + 1)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1577 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1578 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 11) (0 - 64) Secret out_b (count `op_Multiply` 6 + 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1579 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1580 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 12) (0 - 48) Secret out_b (count `op_Multiply` 6 + 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1581 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1582 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 13) (0 - 32) Secret out_b (count `op_Multiply` 6 + 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1583 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1584 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 14) (0 - 16) Secret out_b (count `op_Multiply` 6 + 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1585 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_xmm_xmm 0)) (va_QEmpty
(()))))))))))))))))
val va_lemma_Encrypt_save_and_shuffle_output : va_b0:va_code -> va_s0:va_state -> count:nat ->
out_b:buffer128
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Encrypt_save_and_shuffle_output ()) va_s0 /\ va_get_ok
va_s0 /\ (avx_enabled /\ sse_enabled /\ Vale.X64.Decls.validDstAddrsOffset128
(va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0 - 96) out_b (count `op_Multiply` 6) 6
(va_get_mem_layout va_s0) Secret /\ va_get_xmm 0 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(Vale.X64.Decls.modifies_buffer_specific128 out_b (va_get_mem_heaplet 6 va_s0)
(va_get_mem_heaplet 6 va_sM) (count `op_Multiply` 6 + 0) (count `op_Multiply` 6 + 5) /\
FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
out_b) 0 (6 `op_Multiply` count) == FStar.Seq.Base.slice #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) out_b) 0 (6 `op_Multiply` count) /\
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 0) (va_get_mem_heaplet 6 va_sM) ==
va_get_xmm 9 va_s0 /\ Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 1)
(va_get_mem_heaplet 6 va_sM) == va_get_xmm 10 va_s0 /\ Vale.X64.Decls.buffer128_read out_b
(count `op_Multiply` 6 + 2) (va_get_mem_heaplet 6 va_sM) == va_get_xmm 11 va_s0 /\
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 3) (va_get_mem_heaplet 6 va_sM) ==
va_get_xmm 12 va_s0 /\ Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 4)
(va_get_mem_heaplet 6 va_sM) == va_get_xmm 13 va_s0 /\ Vale.X64.Decls.buffer128_read out_b
(count `op_Multiply` 6 + 5) (va_get_mem_heaplet 6 va_sM) == va_get_xmm 14 va_s0 /\ va_get_xmm 1
va_sM == Vale.Def.Types_s.quad32_xor (va_get_xmm 1 va_s0) (va_get_xmm 7 va_sM) /\ va_get_xmm 9
va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 9 va_s0) /\ va_get_xmm 10 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 10 va_s0) /\ va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 11 va_s0) /\ va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 12 va_s0) /\ va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 13 va_s0) /\ va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 14 va_s0)) /\ va_state_eq va_sM
(va_update_mem_heaplet 6 va_sM (va_update_flags va_sM (va_update_xmm 14 va_sM (va_update_xmm 13
va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 9
va_sM (va_update_xmm 1 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))
[@"opaque_to_smt"]
let va_lemma_Encrypt_save_and_shuffle_output va_b0 va_s0 count out_b =
let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 6; va_Mod_flags; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 1; va_Mod_ok; va_Mod_mem]
in
let va_qc = va_qcode_Encrypt_save_and_shuffle_output va_mods count out_b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Encrypt_save_and_shuffle_output ())
va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 1528 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ (label va_range1
"***** POSTCONDITION NOT MET AT line 1554 column 84 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 out_b (va_get_mem_heaplet 6 va_s0)
(va_get_mem_heaplet 6 va_sM) (count `op_Multiply` 6 + 0) (count `op_Multiply` 6 + 5)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 1555 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
out_b) 0 (6 `op_Multiply` count) == FStar.Seq.Base.slice #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) out_b) 0 (6 `op_Multiply` count)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 1557 column 65 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 0) (va_get_mem_heaplet 6 va_sM)
== va_get_xmm 9 va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1558 column 65 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 1) (va_get_mem_heaplet 6 va_sM)
== va_get_xmm 10 va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1559 column 65 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 2) (va_get_mem_heaplet 6 va_sM)
== va_get_xmm 11 va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1560 column 65 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 3) (va_get_mem_heaplet 6 va_sM)
== va_get_xmm 12 va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1561 column 65 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 4) (va_get_mem_heaplet 6 va_sM)
== va_get_xmm 13 va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1562 column 65 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 5) (va_get_mem_heaplet 6 va_sM)
== va_get_xmm 14 va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1564 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 1 va_sM == Vale.Def.Types_s.quad32_xor (va_get_xmm 1 va_s0) (va_get_xmm 7 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 1565 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 9 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 9 va_s0)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 1566 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 10 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 10 va_s0)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 1567 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 11 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 11 va_s0)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 1568 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 12 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 12 va_s0)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 1569 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 13 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 13 va_s0)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 1570 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 14 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 14 va_s0)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_mem_heaplet 6; va_Mod_flags; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm
12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 1; va_Mod_ok; va_Mod_mem]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Encrypt_save_and_shuffle_output (count:nat) (out_b:buffer128) (va_s0:va_state)
(va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (avx_enabled /\ sse_enabled /\ Vale.X64.Decls.validDstAddrsOffset128
(va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0 - 96) out_b (count `op_Multiply` 6) 6
(va_get_mem_layout va_s0) Secret /\ va_get_xmm 0 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051) /\ (forall (va_x_mem:vale_heap)
(va_x_xmm1:quad32) (va_x_xmm9:quad32) (va_x_xmm10:quad32) (va_x_xmm11:quad32)
(va_x_xmm12:quad32) (va_x_xmm13:quad32) (va_x_xmm14:quad32) (va_x_efl:Vale.X64.Flags.t)
(va_x_heap6:vale_heap) . let va_sM = va_upd_mem_heaplet 6 va_x_heap6 (va_upd_flags va_x_efl
(va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13 va_x_xmm13 (va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11
va_x_xmm11 (va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 9 va_x_xmm9 (va_upd_xmm 1 va_x_xmm1
(va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\
(Vale.X64.Decls.modifies_buffer_specific128 out_b (va_get_mem_heaplet 6 va_s0)
(va_get_mem_heaplet 6 va_sM) (count `op_Multiply` 6 + 0) (count `op_Multiply` 6 + 5) /\
FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
out_b) 0 (6 `op_Multiply` count) == FStar.Seq.Base.slice #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) out_b) 0 (6 `op_Multiply` count) /\
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 0) (va_get_mem_heaplet 6 va_sM) ==
va_get_xmm 9 va_s0 /\ Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 1)
(va_get_mem_heaplet 6 va_sM) == va_get_xmm 10 va_s0 /\ Vale.X64.Decls.buffer128_read out_b
(count `op_Multiply` 6 + 2) (va_get_mem_heaplet 6 va_sM) == va_get_xmm 11 va_s0 /\
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 3) (va_get_mem_heaplet 6 va_sM) ==
va_get_xmm 12 va_s0 /\ Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 4)
(va_get_mem_heaplet 6 va_sM) == va_get_xmm 13 va_s0 /\ Vale.X64.Decls.buffer128_read out_b
(count `op_Multiply` 6 + 5) (va_get_mem_heaplet 6 va_sM) == va_get_xmm 14 va_s0 /\ va_get_xmm 1
va_sM == Vale.Def.Types_s.quad32_xor (va_get_xmm 1 va_s0) (va_get_xmm 7 va_sM) /\ va_get_xmm 9
va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 9 va_s0) /\ va_get_xmm 10 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 10 va_s0) /\ va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 11 va_s0) /\ va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 12 va_s0) /\ va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 13 va_s0) /\ va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 14 va_s0)) ==> va_k va_sM (())))
val va_wpProof_Encrypt_save_and_shuffle_output : count:nat -> out_b:buffer128 -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Encrypt_save_and_shuffle_output count out_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Encrypt_save_and_shuffle_output ())
([va_Mod_mem_heaplet 6; va_Mod_flags; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm
11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 1; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Encrypt_save_and_shuffle_output count out_b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Encrypt_save_and_shuffle_output
(va_code_Encrypt_save_and_shuffle_output ()) va_s0 count out_b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_mem_heaplet 6 va_sM (va_update_flags va_sM (va_update_xmm 14
va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10
va_sM (va_update_xmm 9 va_sM (va_update_xmm 1 va_sM (va_update_ok va_sM (va_update_mem va_sM
va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_mem_heaplet 6; va_Mod_flags; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm
12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 1; va_Mod_mem]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Encrypt_save_and_shuffle_output (count:nat) (out_b:buffer128) : (va_quickCode unit
(va_code_Encrypt_save_and_shuffle_output ())) =
(va_QProc (va_code_Encrypt_save_and_shuffle_output ()) ([va_Mod_mem_heaplet 6; va_Mod_flags;
va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9;
va_Mod_xmm 1; va_Mod_mem]) (va_wp_Encrypt_save_and_shuffle_output count out_b)
(va_wpProof_Encrypt_save_and_shuffle_output count out_b))
//--
//-- UpdateScratch
val va_code_UpdateScratch : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_UpdateScratch () =
(va_Block (va_CCons (va_code_ZeroXmm (va_op_xmm_xmm 4)) (va_CCons (va_code_Mov128 (va_op_xmm_xmm
7) (va_op_xmm_xmm 14)) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 3)
(va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 4) 16 Secret) (va_CCons (va_code_Store128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 13) 48 Secret)
(va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 12) 64 Secret) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 3)
(va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 11) 80 Secret) (va_CCons (va_code_Store128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 10) 96 Secret)
(va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 9) 112 Secret) (va_CNil ()))))))))))
val va_codegen_success_UpdateScratch : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_UpdateScratch () =
(va_pbool_and (va_codegen_success_ZeroXmm (va_op_xmm_xmm 4)) (va_pbool_and
(va_codegen_success_Mov128 (va_op_xmm_xmm 7) (va_op_xmm_xmm 14)) (va_pbool_and
(va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 4) 16 Secret) (va_pbool_and (va_codegen_success_Store128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 13) 48 Secret)
(va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 3)
(va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 12) 64 Secret) (va_pbool_and
(va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 11) 80 Secret) (va_pbool_and (va_codegen_success_Store128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 10) 96 Secret)
(va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 3)
(va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 9) 112 Secret) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_UpdateScratch (va_mods:va_mods_t) (scratch_b:buffer128) : (va_quickCode unit
(va_code_UpdateScratch ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1623 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_ZeroXmm (va_op_xmm_xmm 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1624 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Mov128 (va_op_xmm_xmm 7) (va_op_xmm_xmm 14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1625 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 4) 16 Secret scratch_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1626 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 13) 48 Secret scratch_b 3) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1627 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 12) 64 Secret scratch_b 4) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1628 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 11) 80 Secret scratch_b 5) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1629 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 10) 96 Secret scratch_b 6) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1630 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 9) 112 Secret scratch_b 7) (va_QEmpty (())))))))))))
val va_lemma_UpdateScratch : va_b0:va_code -> va_s0:va_state -> scratch_b:buffer128
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_UpdateScratch ()) va_s0 /\ va_get_ok va_s0 /\
(sse_enabled /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp
va_s0) scratch_b 8 (va_get_mem_layout va_s0) Secret)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(Vale.X64.Decls.modifies_buffer128 scratch_b (va_get_mem_heaplet 3 va_s0) (va_get_mem_heaplet 3
va_sM) /\ Vale.X64.Decls.buffer_modifies_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 7 /\ Vale.X64.Decls.buffer128_read scratch_b 1
(va_get_mem_heaplet 3 va_sM) == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0 /\
Vale.X64.Decls.buffer128_read scratch_b 2 (va_get_mem_heaplet 3 va_s0) ==
Vale.X64.Decls.buffer128_read scratch_b 2 (va_get_mem_heaplet 3 va_sM) /\
Vale.X64.Decls.buffer128_read scratch_b 3 (va_get_mem_heaplet 3 va_sM) == va_get_xmm 13 va_sM
/\ Vale.X64.Decls.buffer128_read scratch_b 4 (va_get_mem_heaplet 3 va_sM) == va_get_xmm 12
va_sM /\ Vale.X64.Decls.buffer128_read scratch_b 5 (va_get_mem_heaplet 3 va_sM) == va_get_xmm
11 va_sM /\ Vale.X64.Decls.buffer128_read scratch_b 6 (va_get_mem_heaplet 3 va_sM) ==
va_get_xmm 10 va_sM /\ Vale.X64.Decls.buffer128_read scratch_b 7 (va_get_mem_heaplet 3 va_sM)
== va_get_xmm 9 va_sM /\ va_get_xmm 7 va_sM == va_get_xmm 14 va_sM /\ va_get_xmm 4 va_sM ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) /\ va_state_eq va_sM (va_update_flags
va_sM (va_update_mem_heaplet 3 va_sM (va_update_xmm 7 va_sM (va_update_xmm 4 va_sM
(va_update_ok va_sM (va_update_mem va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_UpdateScratch va_b0 va_s0 scratch_b =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_xmm 7; va_Mod_xmm 4;
va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_UpdateScratch va_mods scratch_b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_UpdateScratch ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 1588 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ (label va_range1
"***** POSTCONDITION NOT MET AT line 1610 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer128 scratch_b (va_get_mem_heaplet 3 va_s0) (va_get_mem_heaplet 3
va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1611 column 72 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer_modifies_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 7) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1613 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read scratch_b 1 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1614 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read scratch_b 2 (va_get_mem_heaplet 3 va_s0) ==
Vale.X64.Decls.buffer128_read scratch_b 2 (va_get_mem_heaplet 3 va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1615 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read scratch_b 3 (va_get_mem_heaplet 3 va_sM) == va_get_xmm 13 va_sM)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 1616 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read scratch_b 4 (va_get_mem_heaplet 3 va_sM) == va_get_xmm 12 va_sM)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 1617 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read scratch_b 5 (va_get_mem_heaplet 3 va_sM) == va_get_xmm 11 va_sM)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 1618 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read scratch_b 6 (va_get_mem_heaplet 3 va_sM) == va_get_xmm 10 va_sM)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 1619 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read scratch_b 7 (va_get_mem_heaplet 3 va_sM) == va_get_xmm 9 va_sM)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 1620 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 7 va_sM == va_get_xmm 14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1621 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 4 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_xmm 7; va_Mod_xmm 4; va_Mod_ok;
va_Mod_mem]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_UpdateScratch (scratch_b:buffer128) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0)
(va_get_reg64 rRbp va_s0) scratch_b 8 (va_get_mem_layout va_s0) Secret) /\ (forall
(va_x_mem:vale_heap) (va_x_xmm4:quad32) (va_x_xmm7:quad32) (va_x_heap3:vale_heap)
(va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_mem_heaplet 3
va_x_heap3 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 4 va_x_xmm4 (va_upd_mem va_x_mem va_s0)))) in
va_get_ok va_sM /\ (Vale.X64.Decls.modifies_buffer128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) /\ Vale.X64.Decls.buffer_modifies_specific128 scratch_b
(va_get_mem_heaplet 3 va_s0) (va_get_mem_heaplet 3 va_sM) 1 7 /\ Vale.X64.Decls.buffer128_read
scratch_b 1 (va_get_mem_heaplet 3 va_sM) == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0
0 0 /\ Vale.X64.Decls.buffer128_read scratch_b 2 (va_get_mem_heaplet 3 va_s0) ==
Vale.X64.Decls.buffer128_read scratch_b 2 (va_get_mem_heaplet 3 va_sM) /\
Vale.X64.Decls.buffer128_read scratch_b 3 (va_get_mem_heaplet 3 va_sM) == va_get_xmm 13 va_sM
/\ Vale.X64.Decls.buffer128_read scratch_b 4 (va_get_mem_heaplet 3 va_sM) == va_get_xmm 12
va_sM /\ Vale.X64.Decls.buffer128_read scratch_b 5 (va_get_mem_heaplet 3 va_sM) == va_get_xmm
11 va_sM /\ Vale.X64.Decls.buffer128_read scratch_b 6 (va_get_mem_heaplet 3 va_sM) ==
va_get_xmm 10 va_sM /\ Vale.X64.Decls.buffer128_read scratch_b 7 (va_get_mem_heaplet 3 va_sM)
== va_get_xmm 9 va_sM /\ va_get_xmm 7 va_sM == va_get_xmm 14 va_sM /\ va_get_xmm 4 va_sM ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) ==> va_k va_sM (())))
val va_wpProof_UpdateScratch : scratch_b:buffer128 -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_UpdateScratch scratch_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_UpdateScratch ()) ([va_Mod_flags;
va_Mod_mem_heaplet 3; va_Mod_xmm 7; va_Mod_xmm 4; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0,
va_g))))
[@"opaque_to_smt"]
let va_wpProof_UpdateScratch scratch_b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_UpdateScratch (va_code_UpdateScratch ()) va_s0 scratch_b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 3 va_sM (va_update_xmm 7
va_sM (va_update_xmm 4 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_xmm 7; va_Mod_xmm 4; va_Mod_mem])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_UpdateScratch (scratch_b:buffer128) : (va_quickCode unit (va_code_UpdateScratch ())) =
(va_QProc (va_code_UpdateScratch ()) ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_xmm 7;
va_Mod_xmm 4; va_Mod_mem]) (va_wp_UpdateScratch scratch_b) (va_wpProof_UpdateScratch scratch_b))
//--
//-- AES_GCM_encrypt_6mult
#push-options "--z3rlimit 40000 --z3refresh --max_ifuel 0 --z3seed 7"
#restart-solver
[@ "opaque_to_smt" va_qattr]
let va_code_AES_GCM_encrypt_6mult alg =
(va_Block (va_CCons (va_IfElse (va_cmp_eq (va_op_cmp_reg64 rRdx) (va_const_cmp 0)) (va_Block
(va_CCons (va_code_VPshufb (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm 0)) (va_CCons
(va_code_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 1) 32 Secret) (va_CNil ())))) (va_Block (va_CCons (va_code_Store128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 8) 32 Secret)
(va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 128)) (va_CCons
(va_code_Pextrq (va_op_dst_opr64_reg64 rRbx) (va_op_xmm_xmm 1) 0) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 255)) (va_CCons (va_code_VPshufb (va_op_xmm_xmm 1)
(va_op_xmm_xmm 1) (va_op_xmm_xmm 0)) (va_CCons (va_code_AddLea64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRsi) (va_const_opr64 96)) (va_CCons (va_code_AESNI_ctr32_6x alg) (va_CCons
(va_code_VPshufb (va_op_xmm_xmm 8) (va_op_xmm_xmm 9) (va_op_xmm_xmm 0)) (va_CCons
(va_code_VPshufb (va_op_xmm_xmm 2) (va_op_xmm_xmm 10) (va_op_xmm_xmm 0)) (va_CCons
(va_code_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 8) 112 Secret) (va_CCons (va_code_VPshufb (va_op_xmm_xmm 4) (va_op_xmm_xmm 11)
(va_op_xmm_xmm 0)) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 3)
(va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 2) 96 Secret) (va_CCons (va_code_VPshufb
(va_op_xmm_xmm 5) (va_op_xmm_xmm 12) (va_op_xmm_xmm 0)) (va_CCons (va_code_Store128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 4) 80 Secret)
(va_CCons (va_code_VPshufb (va_op_xmm_xmm 6) (va_op_xmm_xmm 13) (va_op_xmm_xmm 0)) (va_CCons
(va_code_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 5) 64 Secret) (va_CCons (va_code_VPshufb (va_op_xmm_xmm 7) (va_op_xmm_xmm 14)
(va_op_xmm_xmm 0)) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 3)
(va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 6) 48 Secret) (va_CCons (va_code_AESNI_ctr32_6x
alg) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 12)) (va_CCons
(va_code_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 8) (va_op_reg_opr64_reg64
rRbp) 32 Secret) (va_CCons (va_code_Ctr32_ghash_6_prelude alg) (va_CCons (va_code_Loop6x_loop
alg) (va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 7)
(va_op_reg_opr64_reg64 rRbp) 32 Secret) (va_CCons (va_code_Store128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 1) 32 Secret)
(va_CCons (va_code_ZeroXmm (va_op_xmm_xmm 4)) (va_CCons (va_code_Store128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 4) 16 Secret)
(va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll6x ()) (va_CCons (va_Block
(va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_InitPshufbMask
(va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rR12)) (va_CCons (va_Block (va_CNil ())) (va_CCons
(va_code_Encrypt_save_and_shuffle_output ()) (va_CCons (va_code_UpdateScratch ()) (va_CCons
(va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll6x ()) (va_CCons (va_Block (va_CNil ()))
(va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_Sub64
(va_op_dst_opr64_reg64 rRcx) (va_const_opr64 128)) (va_CNil
())))))))))))))))))))))))))))))))))))))))))))) (va_CNil ())))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_AES_GCM_encrypt_6mult alg =
(va_pbool_and (va_pbool_and (va_codegen_success_VPshufb (va_op_xmm_xmm 1) (va_op_xmm_xmm 1)
(va_op_xmm_xmm 0)) (va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet
3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 1) 32 Secret) (va_pbool_and
(va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 8) 32 Secret) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64
rRcx) (va_const_opr64 128)) (va_pbool_and (va_codegen_success_Pextrq (va_op_dst_opr64_reg64
rRbx) (va_op_xmm_xmm 1) 0) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbx)
(va_const_opr64 255)) (va_pbool_and (va_codegen_success_VPshufb (va_op_xmm_xmm 1)
(va_op_xmm_xmm 1) (va_op_xmm_xmm 0)) (va_pbool_and (va_codegen_success_AddLea64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRsi) (va_const_opr64 96)) (va_pbool_and
(va_codegen_success_AESNI_ctr32_6x alg) (va_pbool_and (va_codegen_success_VPshufb
(va_op_xmm_xmm 8) (va_op_xmm_xmm 9) (va_op_xmm_xmm 0)) (va_pbool_and
(va_codegen_success_VPshufb (va_op_xmm_xmm 2) (va_op_xmm_xmm 10) (va_op_xmm_xmm 0))
(va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 3)
(va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 8) 112 Secret) (va_pbool_and
(va_codegen_success_VPshufb (va_op_xmm_xmm 4) (va_op_xmm_xmm 11) (va_op_xmm_xmm 0))
(va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 3)
(va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 2) 96 Secret) (va_pbool_and
(va_codegen_success_VPshufb (va_op_xmm_xmm 5) (va_op_xmm_xmm 12) (va_op_xmm_xmm 0))
(va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 3)
(va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 4) 80 Secret) (va_pbool_and
(va_codegen_success_VPshufb (va_op_xmm_xmm 6) (va_op_xmm_xmm 13) (va_op_xmm_xmm 0))
(va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 3)
(va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 5) 64 Secret) (va_pbool_and
(va_codegen_success_VPshufb (va_op_xmm_xmm 7) (va_op_xmm_xmm 14) (va_op_xmm_xmm 0))
(va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 3)
(va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 6) 48 Secret) (va_pbool_and
(va_codegen_success_AESNI_ctr32_6x alg) (va_pbool_and (va_codegen_success_Sub64
(va_op_dst_opr64_reg64 rRdx) (va_const_opr64 12)) (va_pbool_and
(va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 8)
(va_op_reg_opr64_reg64 rRbp) 32 Secret) (va_pbool_and (va_codegen_success_Ctr32_ghash_6_prelude
alg) (va_pbool_and (va_codegen_success_Loop6x_loop alg) (va_pbool_and
(va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 7)
(va_op_reg_opr64_reg64 rRbp) 32 Secret) (va_pbool_and (va_codegen_success_Store128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 1) 32 Secret)
(va_pbool_and (va_codegen_success_ZeroXmm (va_op_xmm_xmm 4)) (va_pbool_and
(va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 4) 16 Secret) (va_pbool_and (va_codegen_success_GhashUnroll6x ()) (va_pbool_and
(va_codegen_success_InitPshufbMask (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rR12))
(va_pbool_and (va_codegen_success_Encrypt_save_and_shuffle_output ()) (va_pbool_and
(va_codegen_success_UpdateScratch ()) (va_pbool_and (va_codegen_success_GhashUnroll6x ())
(va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64
128)))))))))))))))))))))))))))))))))))) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_AES_GCM_encrypt_6mult (va_mods:va_mods_t) (alg:algorithm) (h_LE:quad32)
(iv_b:buffer128) (in_b:buffer128) (out_b:buffer128) (scratch_b:buffer128) (key_words:(seq nat32))
(round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) : (va_quickCode unit
(va_code_AES_GCM_encrypt_6mult alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2176 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_qIf va_mods (Cmp_eq (va_op_cmp_reg64 rRdx) (va_const_cmp 0)) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2178 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2179 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 1) 32 Secret scratch_b 2) (fun (va_s:va_state) _ -> let
(va_arg104:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_old_s in let
(va_arg103:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = key_words in let
(va_arg102:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) out_b in let (va_arg101:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in_b in let
(va_arg100:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2180 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_partial_opaque_init va_arg100 va_arg101 va_arg102 va_arg103
va_arg104) (va_QEmpty (())))))) (qblock va_mods (fun (va_s:va_state) -> let
(plain_quads:(FStar.Seq.Base.seq Vale.X64.Decls.quad32)) = Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) in_b in let (y_orig:Vale.Def.Types_s.quad32) =
Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2187 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 8) 32 Secret scratch_b 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2189 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 128)) (fun (va_s:va_state) _ ->
let (ctr_BE:quad32) = va_get_xmm 1 va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2195 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Pextrq (va_op_dst_opr64_reg64 rRbx) (va_op_xmm_xmm 1) 0) (fun (va_s:va_state) _ ->
let (full_counter:nat64) = va_get_reg64 rRbx va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2197 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 255)) (fun (va_s:va_state) _ ->
let (va_arg136:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in let
(va_arg135:Vale.Def.Types_s.nat64) = full_counter in let (va_arg134:Vale.Def.Types_s.quad32) =
va_get_xmm 1 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2198 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.lemma_counter_init va_arg134 va_arg135 va_arg136) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 2200 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2203 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRsi) (va_const_opr64 96))
(fun (va_s:va_state) _ -> let (va_arg133:Vale.Def.Types_s.quad32) = ctr_BE in let
(va_arg132:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = key_words in let
(va_arg131:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) out_b in let (va_arg130:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in_b in let
(va_arg129:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2205 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_partial_opaque_init va_arg129 va_arg130 va_arg131 va_arg132
va_arg133) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2206 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_AESNI_ctr32_6x alg 0 in_b out_b plain_quads key_words round_keys keys_b ctr_BE
ctr_BE) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2208 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 8) (va_op_xmm_xmm 9) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2209 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 2) (va_op_xmm_xmm 10) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2210 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 8) 112 Secret scratch_b 7) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2211 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 4) (va_op_xmm_xmm 11) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2212 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 2) 96 Secret scratch_b 6) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2213 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 5) (va_op_xmm_xmm 12) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2214 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 4) 80 Secret scratch_b 5) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2215 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 6) (va_op_xmm_xmm 13) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2216 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 5) 64 Secret scratch_b 4) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2217 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 7) (va_op_xmm_xmm 14) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2218 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 6) 48 Secret scratch_b 3) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2220 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_AESNI_ctr32_6x alg 1 in_b out_b plain_quads key_words round_keys keys_b
(Vale.AES.GCTR_s.inc32 ctr_BE 6) ctr_BE) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2221 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 12)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2223 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 8) (va_op_reg_opr64_reg64
rRbp) 32 Secret scratch_b 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2226 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Ctr32_ghash_6_prelude alg scratch_b key_words round_keys keys_b
(Vale.AES.GCTR_s.inc32 ctr_BE 12)) (fun (va_s:va_state) _ -> let (mid_len:nat64) = va_get_reg64
rRdx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2233 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_zero ()) (let
(va_arg128:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2234 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_zero va_arg128) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 2235 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s) == add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
scratch_b 1 (va_get_mem_heaplet 3 va_s)))) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 2236 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s)) ==
va_get_xmm 8 va_s) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2237 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x_loop alg h_LE (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s))
(Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s)) 2 iv_b out_b in_b out_b scratch_b
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old_s) in_b) key_words round_keys keys_b hkeys_b
ctr_BE (Vale.AES.GCTR_s.inc32 ctr_BE 12)) (fun (va_s:va_state) (y_new:quad32) -> let
(out_snapshot:(FStar.Seq.Base.seq Vale.X64.Decls.quad32)) = Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) out_b in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2240 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 7) (va_op_reg_opr64_reg64
rRbp) 32 Secret scratch_b 2) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2243 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 1) 32 Secret scratch_b 2) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2246 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_ZeroXmm (va_op_xmm_xmm 4)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2247 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 4) 16 Secret scratch_b 1) (fun (va_s:va_state) _ -> let
(va_arg127:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2248 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_zero va_arg127) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 2250 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_old_s - 12 >= 0 /\ va_get_reg64 rRdx va_old_s - 6 >= 0 /\ (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.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b) (va_get_reg64
rRdx va_old_s - 12) (va_get_reg64 rRdx va_old_s - 6)) (fun _ -> let (data:(FStar.Seq.Base.seq
Vale.X64.Decls.quad32)) = FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) out_b) (va_get_reg64 rRdx va_old_s - 12) (va_get_reg64 rRdx
va_old_s - 6) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2251 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_GhashUnroll6x hkeys_b scratch_b h_LE y_new data) (fun (va_s:va_state) _ -> let
(y_new':Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in
va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 2253 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_old_s - 12 >= 0 /\ (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.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) out_b) 0 (va_get_reg64 rRdx va_old_s - 12)) (fun _ -> let
(va_arg126:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg125:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice
#Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b) 0 (va_get_reg64
rRdx va_old_s - 12) in let (va_arg124:Vale.Def.Types_s.quad32) = y_new in let
(va_arg123:Vale.Def.Types_s.quad32) = h_LE in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2253 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GHash.lemma_ghash_incremental0_append va_arg123 y_orig va_arg124
y_new' va_arg125 va_arg126) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 2255 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_old_s - 12 >= 0 /\ (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.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) out_b) 0 (va_get_reg64 rRdx va_old_s - 12) /\ va_get_reg64 rRdx
va_old_s - 6 >= 0 /\ (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.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) out_b) 0 (va_get_reg64 rRdx va_old_s - 6)) (fun _ -> va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 2255 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(FStar.Seq.Base.equal #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32
(FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s)
out_b) 0 (va_get_reg64 rRdx va_old_s - 12)) data) (FStar.Seq.Base.slice #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b) 0 (va_get_reg64 rRdx va_old_s - 6)))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2260 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_InitPshufbMask (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rR12)) (fun (va_s:va_state) _
-> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 2267 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_old_s `op_Division` 6 - 1 >= 0) (fun _ -> let (offset_in:nat) =
va_get_reg64 rRdx va_old_s `op_Division` 6 - 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2268 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Encrypt_save_and_shuffle_output offset_in out_b) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2271 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_UpdateScratch scratch_b) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 2273 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_old_s - 6 >= 0 /\ va_get_reg64 rRdx va_old_s >= 0 /\ (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.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b) (va_get_reg64
rRdx va_old_s - 6) (va_get_reg64 rRdx va_old_s)) (fun _ -> let data = FStar.Seq.Base.slice
#Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b) (va_get_reg64
rRdx va_old_s - 6) (va_get_reg64 rRdx va_old_s) in let (va_arg122:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2274 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_zero va_arg122) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2275 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_GhashUnroll6x hkeys_b scratch_b h_LE y_new' data) (fun (va_s:va_state) _ -> let
(y_new'':Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s)
in va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 2278 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_old_s - 6 >= 0 /\ (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.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) out_b) 0 (va_get_reg64 rRdx va_old_s - 6)) (fun _ -> let
(va_arg121:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg120:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice
#Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b) 0 (va_get_reg64
rRdx va_old_s - 6) in let (va_arg119:Vale.Def.Types_s.quad32) = h_LE in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2278 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GHash.lemma_ghash_incremental0_append va_arg119 y_orig y_new' y_new''
va_arg120 va_arg121) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 2280 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_old_s - 6 >= 0 /\ (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.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) out_b) 0 (va_get_reg64 rRdx va_old_s - 6)) (fun _ -> va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 2280 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(FStar.Seq.Base.equal #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32
(FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s)
out_b) 0 (va_get_reg64 rRdx va_old_s - 6)) data) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_s) out_b)) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 2286 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(12 + mid_len - 6 >= 0 /\ 12 + mid_len - 6 <= 4294967295) (fun _ -> let
(va_arg118:Vale.Def.Types_s.quad32) = ctr_BE in let (va_arg117:(FStar.Seq.Base.seq
Vale.Def.Types_s.nat32)) = key_words in let (va_arg116:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b in let
(va_arg115:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = out_snapshot in let
(va_arg114:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old_s) in_b in let (va_arg113:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old_s) in_b in let
(va_arg112:Vale.Def.Types_s.nat32) = 12 + mid_len - 6 in let
(va_arg111:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2286 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_partial_opaque_ignores_postfix va_arg111 va_arg112
va_arg113 va_arg114 va_arg115 va_arg116 va_arg117 va_arg118) (let
(va_arg110:Vale.Def.Types_s.quad32) = ctr_BE in let (va_arg109:(FStar.Seq.Base.seq
Vale.Def.Types_s.nat32)) = key_words in let (va_arg108:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b in let
(va_arg107:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old_s) in_b in let (va_arg106:Prims.nat) = 12 + mid_len - 6 in let
(va_arg105:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2287 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_partial_extend6 va_arg105 va_arg106 va_arg107 va_arg108
va_arg109 va_arg110) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2289 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 128)) (va_QEmpty
(()))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (fun (va_s:va_state) va_g ->
va_QEmpty (()))))
[@"opaque_to_smt"]
let va_lemma_AES_GCM_encrypt_6mult va_b0 va_s0 alg h_LE iv_b in_b out_b scratch_b key_words
round_keys keys_b hkeys_b =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2;
va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm
11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14;
va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRax; va_Mod_ok;
va_Mod_mem] in
let va_qc = va_qcode_AES_GCM_encrypt_6mult va_mods alg h_LE iv_b in_b out_b scratch_b key_words
round_keys keys_b hkeys_b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_AES_GCM_encrypt_6mult alg) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 2086 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ (label va_range1
"***** POSTCONDITION NOT MET AT line 2159 column 53 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer128 out_b (va_get_mem_heaplet 6 va_s0) (va_get_mem_heaplet 6
va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 2160 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer128 iv_b (va_get_mem_heaplet 2 va_s0) (va_get_mem_heaplet 2
va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 2161 column 72 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 8) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 2163 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 2166 column 100 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.AES.GCTR.gctr_partial alg (va_get_reg64 rRdx va_s0) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) in_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out_b)
key_words (va_get_xmm 1 va_s0)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 2169 column 112 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_sM) ==
Vale.AES.GHash.ghash_incremental0 h_LE (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8
va_s0)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out_b)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 2173 column 98 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(l_and (va_get_reg64 rRdx va_s0 < pow2_32) (Vale.X64.Decls.buffer128_read scratch_b 2
(va_get_mem_heaplet 3 va_sM) == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
(va_get_xmm 1 va_s0) (va_get_reg64 rRdx va_s0)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet
6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10;
va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm
3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64
rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AES_GCM_encrypt_6mult alg h_LE iv_b in_b out_b scratch_b key_words round_keys keys_b
hkeys_b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AES_GCM_encrypt_6mult (va_code_AES_GCM_encrypt_6mult alg) va_s0 alg
h_LE iv_b in_b out_b scratch_b key_words round_keys keys_b hkeys_b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 3 va_sM
(va_update_mem_heaplet 2 va_sM (va_update_mem_heaplet 6 va_sM (va_update_xmm 15 va_sM
(va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM
(va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM
(va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM
(va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR14
va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))))))))))))))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet
6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10;
va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm
3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64
rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- DecryptPrelude
val va_code_DecryptPrelude : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_DecryptPrelude () =
(va_Block (va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_xmm_xmm 7)
(va_op_reg_opr64_reg64 rRdi) 80 Secret) (va_CCons (va_code_Load128_buffer
(va_op_heaplet_mem_heaplet 6) (va_op_xmm_xmm 4) (va_op_reg_opr64_reg64 rRdi) 64 Secret)
(va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_xmm_xmm 5)
(va_op_reg_opr64_reg64 rRdi) 48 Secret) (va_CCons (va_code_Load128_buffer
(va_op_heaplet_mem_heaplet 6) (va_op_xmm_xmm 6) (va_op_reg_opr64_reg64 rRdi) 32 Secret)
(va_CCons (va_code_VPshufb (va_op_xmm_xmm 7) (va_op_xmm_xmm 7) (va_op_xmm_xmm 0)) (va_CCons
(va_code_Load128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_xmm_xmm 2) (va_op_reg_opr64_reg64
rRdi) 16 Secret) (va_CCons (va_code_VPshufb (va_op_xmm_xmm 4) (va_op_xmm_xmm 4) (va_op_xmm_xmm
0)) (va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_xmm_xmm 3)
(va_op_reg_opr64_reg64 rRdi) 0 Secret) (va_CCons (va_code_VPshufb (va_op_xmm_xmm 5)
(va_op_xmm_xmm 5) (va_op_xmm_xmm 0)) (va_CCons (va_code_Store128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 4) 48 Secret)
(va_CCons (va_code_VPshufb (va_op_xmm_xmm 6) (va_op_xmm_xmm 6) (va_op_xmm_xmm 0)) (va_CCons
(va_code_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 5) 64 Secret) (va_CCons (va_code_VPshufb (va_op_xmm_xmm 2) (va_op_xmm_xmm 2)
(va_op_xmm_xmm 0)) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 3)
(va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 6) 80 Secret) (va_CCons (va_code_VPshufb
(va_op_xmm_xmm 3) (va_op_xmm_xmm 3) (va_op_xmm_xmm 0)) (va_CCons (va_code_Store128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 2) 96 Secret)
(va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 3) 112 Secret) (va_CNil ())))))))))))))))))))
val va_codegen_success_DecryptPrelude : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_DecryptPrelude () =
(va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_xmm_xmm 7)
(va_op_reg_opr64_reg64 rRdi) 80 Secret) (va_pbool_and (va_codegen_success_Load128_buffer
(va_op_heaplet_mem_heaplet 6) (va_op_xmm_xmm 4) (va_op_reg_opr64_reg64 rRdi) 64 Secret)
(va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_xmm_xmm
5) (va_op_reg_opr64_reg64 rRdi) 48 Secret) (va_pbool_and (va_codegen_success_Load128_buffer
(va_op_heaplet_mem_heaplet 6) (va_op_xmm_xmm 6) (va_op_reg_opr64_reg64 rRdi) 32 Secret)
(va_pbool_and (va_codegen_success_VPshufb (va_op_xmm_xmm 7) (va_op_xmm_xmm 7) (va_op_xmm_xmm
0)) (va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 6)
(va_op_xmm_xmm 2) (va_op_reg_opr64_reg64 rRdi) 16 Secret) (va_pbool_and
(va_codegen_success_VPshufb (va_op_xmm_xmm 4) (va_op_xmm_xmm 4) (va_op_xmm_xmm 0))
(va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_xmm_xmm
3) (va_op_reg_opr64_reg64 rRdi) 0 Secret) (va_pbool_and (va_codegen_success_VPshufb
(va_op_xmm_xmm 5) (va_op_xmm_xmm 5) (va_op_xmm_xmm 0)) (va_pbool_and
(va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 4) 48 Secret) (va_pbool_and (va_codegen_success_VPshufb (va_op_xmm_xmm 6)
(va_op_xmm_xmm 6) (va_op_xmm_xmm 0)) (va_pbool_and (va_codegen_success_Store128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 5) 64 Secret)
(va_pbool_and (va_codegen_success_VPshufb (va_op_xmm_xmm 2) (va_op_xmm_xmm 2) (va_op_xmm_xmm
0)) (va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 3)
(va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 6) 80 Secret) (va_pbool_and
(va_codegen_success_VPshufb (va_op_xmm_xmm 3) (va_op_xmm_xmm 3) (va_op_xmm_xmm 0))
(va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 3)
(va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 2) 96 Secret) (va_pbool_and
(va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 3) 112 Secret) (va_ttrue ()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_DecryptPrelude (va_mods:va_mods_t) (in_b:buffer128) (scratch_b:buffer128) :
(va_quickCode unit (va_code_DecryptPrelude ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2339 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_xmm_xmm 7) (va_op_reg_opr64_reg64
rRdi) 80 Secret in_b 5) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2340 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_xmm_xmm 4) (va_op_reg_opr64_reg64
rRdi) 64 Secret in_b 4) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2341 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_xmm_xmm 5) (va_op_reg_opr64_reg64
rRdi) 48 Secret in_b 3) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2342 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_xmm_xmm 6) (va_op_reg_opr64_reg64
rRdi) 32 Secret in_b 2) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2344 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 7) (va_op_xmm_xmm 7) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2345 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_xmm_xmm 2) (va_op_reg_opr64_reg64
rRdi) 16 Secret in_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2346 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 4) (va_op_xmm_xmm 4) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2347 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_xmm_xmm 3) (va_op_reg_opr64_reg64
rRdi) 0 Secret in_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2348 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 5) (va_op_xmm_xmm 5) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2349 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 4) 48 Secret scratch_b 3) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2350 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 6) (va_op_xmm_xmm 6) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2351 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 5) 64 Secret scratch_b 4) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2352 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 2) (va_op_xmm_xmm 2) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2353 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 6) 80 Secret scratch_b 5) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2354 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 3) (va_op_xmm_xmm 3) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2355 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 2) 96 Secret scratch_b 6) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2356 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 3) 112 Secret scratch_b 7) (va_QEmpty (()))))))))))))))))))))
val va_lemma_DecryptPrelude : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 ->
scratch_b:buffer128
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_DecryptPrelude ()) va_s0 /\ va_get_ok va_s0 /\
(avx_enabled /\ sse_enabled /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rRdi va_s0) in_b 6 (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
scratch_b 8 (va_get_mem_layout va_s0) Secret /\ va_get_xmm 0 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 3 7 /\ Vale.X64.Decls.buffer128_read scratch_b 7
(va_get_mem_heaplet 3 va_sM) == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.X64.Decls.buffer128_read in_b 0 (va_get_mem_heaplet 6 va_sM)) /\
Vale.X64.Decls.buffer128_read scratch_b 6 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read in_b 1 (va_get_mem_heaplet
6 va_sM)) /\ Vale.X64.Decls.buffer128_read scratch_b 5 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read in_b 2 (va_get_mem_heaplet
6 va_sM)) /\ Vale.X64.Decls.buffer128_read scratch_b 4 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read in_b 3 (va_get_mem_heaplet
6 va_sM)) /\ Vale.X64.Decls.buffer128_read scratch_b 3 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read in_b 4 (va_get_mem_heaplet
6 va_sM)) /\ va_get_xmm 7 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.X64.Decls.buffer128_read in_b 5 (va_get_mem_heaplet 6 va_sM))) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_mem_heaplet 3 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6
va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2
va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_DecryptPrelude va_b0 va_s0 in_b scratch_b =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_xmm 7; va_Mod_xmm 6;
va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_DecryptPrelude va_mods in_b scratch_b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_DecryptPrelude ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 2295 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ (label va_range1
"***** POSTCONDITION NOT MET AT line 2323 column 72 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 3 7) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 2325 column 100 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read scratch_b 7 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read in_b 0 (va_get_mem_heaplet
6 va_sM))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 2326 column 100 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read scratch_b 6 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read in_b 1 (va_get_mem_heaplet
6 va_sM))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 2327 column 100 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read scratch_b 5 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read in_b 2 (va_get_mem_heaplet
6 va_sM))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 2328 column 100 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read scratch_b 4 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read in_b 3 (va_get_mem_heaplet
6 va_sM))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 2329 column 100 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read scratch_b 3 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read in_b 4 (va_get_mem_heaplet
6 va_sM))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 2331 column 67 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 7 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read
in_b 5 (va_get_mem_heaplet 6 va_sM))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm
5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_ok; va_Mod_mem]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_DecryptPrelude (in_b:buffer128) (scratch_b:buffer128) (va_s0:va_state) (va_k:(va_state ->
unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (avx_enabled /\ sse_enabled /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi va_s0) in_b 6 (va_get_mem_layout va_s0) Secret
/\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
scratch_b 8 (va_get_mem_layout va_s0) Secret /\ va_get_xmm 0 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051) /\ (forall (va_x_mem:vale_heap)
(va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32)
(va_x_xmm7:quad32) (va_x_heap3:vale_heap) (va_x_efl:Vale.X64.Flags.t) . let va_sM =
va_upd_flags va_x_efl (va_upd_mem_heaplet 3 va_x_heap3 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6
va_x_xmm6 (va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2
va_x_xmm2 (va_upd_mem va_x_mem va_s0)))))))) in va_get_ok va_sM /\
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 3 7 /\ Vale.X64.Decls.buffer128_read scratch_b 7
(va_get_mem_heaplet 3 va_sM) == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.X64.Decls.buffer128_read in_b 0 (va_get_mem_heaplet 6 va_sM)) /\
Vale.X64.Decls.buffer128_read scratch_b 6 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read in_b 1 (va_get_mem_heaplet
6 va_sM)) /\ Vale.X64.Decls.buffer128_read scratch_b 5 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read in_b 2 (va_get_mem_heaplet
6 va_sM)) /\ Vale.X64.Decls.buffer128_read scratch_b 4 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read in_b 3 (va_get_mem_heaplet
6 va_sM)) /\ Vale.X64.Decls.buffer128_read scratch_b 3 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read in_b 4 (va_get_mem_heaplet
6 va_sM)) /\ va_get_xmm 7 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.X64.Decls.buffer128_read in_b 5 (va_get_mem_heaplet 6 va_sM))) ==> va_k va_sM (())))
val va_wpProof_DecryptPrelude : in_b:buffer128 -> scratch_b:buffer128 -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_DecryptPrelude in_b scratch_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_DecryptPrelude ()) ([va_Mod_flags;
va_Mod_mem_heaplet 3; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3;
va_Mod_xmm 2; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_DecryptPrelude in_b scratch_b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_DecryptPrelude (va_code_DecryptPrelude ()) va_s0 in_b scratch_b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 3 va_sM (va_update_xmm 7
va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3
va_sM (va_update_xmm 2 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm
5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_mem]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_DecryptPrelude (in_b:buffer128) (scratch_b:buffer128) : (va_quickCode unit
(va_code_DecryptPrelude ())) =
(va_QProc (va_code_DecryptPrelude ()) ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_xmm 7;
va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_mem])
(va_wp_DecryptPrelude in_b scratch_b) (va_wpProof_DecryptPrelude in_b scratch_b))
//--
//-- AES_GCM_decrypt_6mult
#push-options "--z3rlimit 100"
[@ "opaque_to_smt" va_qattr]
let va_code_AES_GCM_decrypt_6mult alg =
(va_Block (va_CCons (va_IfElse (va_cmp_eq (va_op_cmp_reg64 rRdx) (va_const_cmp 0)) (va_Block
(va_CCons (va_code_VPshufb (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm 0)) (va_CCons
(va_code_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 1) 32 Secret) (va_CNil ())))) (va_Block (va_CCons (va_code_Store128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 8) 32 Secret)
(va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 128)) (va_CCons
(va_code_Pextrq (va_op_dst_opr64_reg64 rRbx) (va_op_xmm_xmm 1) 0) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 255)) (va_CCons (va_code_VPshufb (va_op_xmm_xmm 1)
(va_op_xmm_xmm 1) (va_op_xmm_xmm 0)) (va_CCons (va_code_AddLea64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRdi) (va_const_opr64 96)) (va_CCons (va_code_Load128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 8) (va_op_reg_opr64_reg64 rRbp) 32 Secret)
(va_CCons (va_code_DecryptPrelude ()) (va_CCons (va_code_Ctr32_ghash_6_prelude alg) (va_CCons
(va_code_Loop6x_loop_decrypt alg) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet
3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 1) 32 Secret) (va_CCons (va_code_Store128_buffer
(va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 9) (0 - 96) Secret)
(va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 10) (0 - 80) Secret) (va_CCons (va_code_Store128_buffer
(va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 11) (0 - 64) Secret)
(va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 12) (0 - 48) Secret) (va_CCons (va_code_Store128_buffer
(va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 13) (0 - 32) Secret)
(va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 14) (0 - 16) Secret) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 128))
(va_CNil ()))))))))))))))))))))))) (va_CNil ())))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_AES_GCM_decrypt_6mult alg =
(va_pbool_and (va_pbool_and (va_codegen_success_VPshufb (va_op_xmm_xmm 1) (va_op_xmm_xmm 1)
(va_op_xmm_xmm 0)) (va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet
3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 1) 32 Secret) (va_pbool_and
(va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 8) 32 Secret) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64
rRcx) (va_const_opr64 128)) (va_pbool_and (va_codegen_success_Pextrq (va_op_dst_opr64_reg64
rRbx) (va_op_xmm_xmm 1) 0) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbx)
(va_const_opr64 255)) (va_pbool_and (va_codegen_success_VPshufb (va_op_xmm_xmm 1)
(va_op_xmm_xmm 1) (va_op_xmm_xmm 0)) (va_pbool_and (va_codegen_success_AddLea64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdi) (va_const_opr64 96)) (va_pbool_and
(va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 8)
(va_op_reg_opr64_reg64 rRbp) 32 Secret) (va_pbool_and (va_codegen_success_DecryptPrelude ())
(va_pbool_and (va_codegen_success_Ctr32_ghash_6_prelude alg) (va_pbool_and
(va_codegen_success_Loop6x_loop_decrypt alg) (va_pbool_and (va_codegen_success_Store128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 1) 32 Secret)
(va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 6)
(va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 9) (0 - 96) Secret) (va_pbool_and
(va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 10) (0 - 80) Secret) (va_pbool_and (va_codegen_success_Store128_buffer
(va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 11) (0 - 64) Secret)
(va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 6)
(va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 12) (0 - 48) Secret) (va_pbool_and
(va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 13) (0 - 32) Secret) (va_pbool_and (va_codegen_success_Store128_buffer
(va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 14) (0 - 16) Secret)
(va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 128)))))))))))))))))))))
(va_ttrue ())) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.State.fsti.checked",
"Vale.X64.QuickCodes.fsti.checked",
"Vale.X64.QuickCode.fst.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.InsVector.fsti.checked",
"Vale.X64.InsMem.fsti.checked",
"Vale.X64.InsBasic.fsti.checked",
"Vale.X64.InsAes.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fsti.checked",
"Vale.X64.CPU_Features_s.fst.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.AES.X64.PolyOps.fsti.checked",
"Vale.AES.X64.AESopt2.fsti.checked",
"Vale.AES.X64.AESopt.fsti.checked",
"Vale.AES.GHash.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_s.fst.checked",
"Vale.AES.GCTR.fsti.checked",
"Vale.AES.GCM_helpers.fsti.checked",
"Vale.AES.AES_s.fst.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_common_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked"
],
"interface_file": true,
"source_file": "Vale.AES.X64.AESGCM.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.AES.X64.AESopt2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.X64.AESopt",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash",
"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.X64.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsAes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"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": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.X64.AESopt2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.X64.AESopt",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash",
"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.X64.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsAes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"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": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.X64",
"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": 100,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_mods: Vale.X64.QuickCode.va_mods_t ->
alg: Vale.AES.AES_common_s.algorithm ->
h_LE: Vale.X64.Decls.quad32 ->
iv_b: Vale.X64.Memory.buffer128 ->
in_b: Vale.X64.Memory.buffer128 ->
out_b: Vale.X64.Memory.buffer128 ->
scratch_b: Vale.X64.Memory.buffer128 ->
key_words: FStar.Seq.Base.seq Vale.X64.Memory.nat32 ->
round_keys: FStar.Seq.Base.seq Vale.X64.Decls.quad32 ->
keys_b: Vale.X64.Memory.buffer128 ->
hkeys_b: Vale.X64.Memory.buffer128
-> Vale.X64.QuickCode.va_quickCode Prims.unit
(Vale.AES.X64.AESGCM.va_code_AES_GCM_decrypt_6mult alg) | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.QuickCode.va_mods_t",
"Vale.AES.AES_common_s.algorithm",
"Vale.X64.Decls.quad32",
"Vale.X64.Memory.buffer128",
"FStar.Seq.Base.seq",
"Vale.X64.Memory.nat32",
"Vale.X64.QuickCodes.qblock",
"Prims.unit",
"Prims.Cons",
"Vale.X64.Decls.va_code",
"Vale.X64.Machine_s.IfElse",
"Vale.X64.Decls.ins",
"Vale.X64.Decls.ocmp",
"Vale.X64.QuickCodes.cmp_to_ocmp",
"Vale.X64.QuickCodes.Cmp_eq",
"Vale.X64.Decls.va_op_cmp_reg64",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Decls.va_const_cmp",
"Vale.X64.QuickCodes.block",
"Vale.X64.InsVector.va_code_VPshufb",
"Vale.X64.Decls.va_op_xmm_xmm",
"Vale.X64.InsVector.va_code_Store128_buffer",
"Vale.X64.Decls.va_op_heaplet_mem_heaplet",
"Vale.X64.Decls.va_op_reg_opr64_reg64",
"Vale.X64.Machine_s.rRbp",
"Vale.Arch.HeapTypes_s.Secret",
"Prims.Nil",
"Vale.X64.Machine_s.precode",
"Vale.X64.InsBasic.va_code_Add64",
"Vale.X64.Decls.va_op_dst_opr64_reg64",
"Vale.X64.Machine_s.rRcx",
"Vale.X64.Decls.va_const_opr64",
"Vale.X64.InsVector.va_code_Pextrq",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.InsBasic.va_code_And64",
"Vale.X64.InsBasic.va_code_AddLea64",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Decls.va_op_opr64_reg64",
"Vale.X64.Machine_s.rRdi",
"Vale.X64.InsVector.va_code_Load128_buffer",
"Vale.AES.X64.AESGCM.va_code_DecryptPrelude",
"Vale.AES.X64.AESGCM.va_code_Ctr32_ghash_6_prelude",
"Vale.AES.X64.AESGCM.va_code_Loop6x_loop_decrypt",
"Vale.X64.Machine_s.rRsi",
"Prims.op_Subtraction",
"Vale.X64.Machine_s.Block",
"Vale.X64.InsBasic.va_code_Sub64",
"Vale.X64.Decls.va_state",
"Vale.X64.QuickCodes.va_QBind",
"Vale.X64.QuickCodes.va_range1",
"Vale.X64.QuickCodes.va_qIf",
"Vale.X64.QuickCodes.va_QSeq",
"Vale.X64.InsVector.va_quick_VPshufb",
"Vale.X64.InsVector.va_quick_Store128_buffer",
"Vale.X64.QuickCodes.va_qPURE",
"Prims.pure_post",
"Prims.l_and",
"Vale.AES.AES_s.is_aes_key_LE",
"Prims.l_Forall",
"Prims.l_imp",
"Vale.AES.GCTR.gctr_partial",
"Vale.AES.GCTR.gctr_partial_opaque_init",
"Vale.X64.QuickCodes.va_QEmpty",
"Vale.Def.Types_s.quad32",
"Vale.X64.Decls.s128",
"Vale.X64.Decls.va_get_mem_heaplet",
"Vale.Def.Words_s.nat32",
"Vale.X64.Decls.va_get_xmm",
"Vale.X64.QuickCodes.quickCodes",
"Vale.X64.InsBasic.va_quick_Add64",
"Vale.X64.InsVector.va_quick_Pextrq",
"Vale.X64.InsBasic.va_quick_And64",
"Prims.eq2",
"Vale.Def.Words_s.nat64",
"Vale.Arch.Types.lo64",
"Vale.Def.Types_s.iand",
"Prims.int",
"Prims.op_Modulus",
"Vale.Def.Words_s.__proj__Mkfour__item__lo0",
"Vale.AES.GCTR.lemma_counter_init",
"Vale.X64.InsBasic.va_quick_AddLea64",
"Vale.X64.InsVector.va_quick_Load128_buffer",
"Vale.AES.X64.AESGCM.va_quick_DecryptPrelude",
"Vale.AES.X64.AESGCM.va_quick_Ctr32_ghash_6_prelude",
"Vale.AES.GCTR_s.inc32",
"Prims.l_True",
"Vale.Math.Poly2_s.poly",
"Vale.Math.Poly2.Bits_s.of_quad32",
"Vale.Def.Words_s.Mkfour",
"Vale.Math.Poly2_s.zero",
"Vale.Def.Words_s.four",
"Vale.Math.Poly2.Bits_s.to_quad32",
"Vale.Math.Poly2.Words.lemma_quad32_zero",
"Vale.Math.Poly2_s.add",
"Vale.Math.Poly2.lemma_add_zero",
"Vale.X64.QuickCodes.va_qAssert",
"Vale.X64.Decls.buffer128_read",
"Vale.AES.X64.AESGCM.va_quick_Loop6x_loop_decrypt",
"Vale.Def.Types_s.reverse_bytes_quad32",
"Prims.op_Addition",
"Vale.X64.Decls.va_get_reg64",
"Vale.X64.QuickCodes.va_qAssertSquash",
"Prims.b2t",
"Prims.op_GreaterThanOrEqual",
"Prims.op_LessThanOrEqual",
"Prims.squash",
"FStar.Seq.Base.length",
"FStar.Seq.Base.slice",
"Prims.l_iff",
"Vale.AES.GCTR.gctr_partial_opaque_ignores_postfix",
"Prims.op_LessThan",
"FStar.Seq.Base.index",
"Vale.Def.Types_s.quad32_xor",
"Vale.AES.GCTR.aes_encrypt_BE",
"Vale.AES.GCTR.inc32lite",
"Vale.AES.GCTR.gctr_partial_extend6",
"Vale.X64.InsBasic.va_quick_Sub64",
"Prims.nat",
"Vale.X64.State.vale_state",
"Vale.X64.QuickCode.va_quickCode",
"Vale.AES.X64.AESGCM.va_code_AES_GCM_decrypt_6mult"
] | [] | false | false | false | false | false | let va_qcode_AES_GCM_decrypt_6mult
(va_mods: va_mods_t)
(alg: algorithm)
(h_LE: quad32)
(iv_b in_b out_b scratch_b: buffer128)
(key_words: (seq nat32))
(round_keys: (seq quad32))
(keys_b hkeys_b: buffer128)
: (va_quickCode unit (va_code_AES_GCM_decrypt_6mult alg)) =
| (qblock va_mods
(fun (va_s: va_state) ->
let va_old_s:va_state = va_s in
va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2445 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_qIf va_mods
(Cmp_eq (va_op_cmp_reg64 rRdx) (va_const_cmp 0))
(qblock va_mods
(fun (va_s: va_state) ->
va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2453 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm 0))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2454 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3)
(va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 1)
32
Secret
scratch_b
2)
(fun (va_s: va_state) _ ->
let va_arg71:Vale.Def.Types_s.quad32 = va_get_xmm 1 va_old_s in
let va_arg70:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32) =
key_words
in
let va_arg69:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32) =
Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b
in
let va_arg68:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32) =
Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in_b
in
let va_arg67:Vale.AES.AES_common_s.algorithm = alg in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2455 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_: unit) ->
Vale.AES.GCTR.gctr_partial_opaque_init va_arg67
va_arg68
va_arg69
va_arg70
va_arg71)
(va_QEmpty (()))))))
(qblock va_mods
(fun (va_s: va_state) ->
let plain_quads:(FStar.Seq.Base.seq Vale.X64.Decls.quad32) =
Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in_b
in
let y_orig:Vale.Def.Types_s.quad32 =
Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s)
in
va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2461 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3)
(va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 8)
32
Secret
scratch_b
2)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2462 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 128))
(fun (va_s: va_state) _ ->
let ctr_BE:quad32 = va_get_xmm 1 va_s in
va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2464 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Pextrq (va_op_dst_opr64_reg64 rRbx) (va_op_xmm_xmm 1) 0)
(fun (va_s: va_state) _ ->
let full_counter:nat64 = va_get_reg64 rRbx va_s in
va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2466 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbx)
(va_const_opr64 255))
(fun (va_s: va_state) _ ->
let va_arg89:Vale.Def.Types_s.nat64 =
va_get_reg64 rRbx va_s
in
let va_arg88:Vale.Def.Types_s.nat64 = full_counter in
let va_arg87:Vale.Def.Types_s.quad32 =
va_get_xmm 1 va_s
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2467 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_: unit) ->
Vale.AES.GCTR.lemma_counter_init va_arg87
va_arg88
va_arg89)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2469 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 1)
(va_op_xmm_xmm 1)
(va_op_xmm_xmm 0))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2472 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rR14
)
(va_op_opr64_reg64 rRdi)
(va_const_opr64 96))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2475 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load128_buffer (va_op_heaplet_mem_heaplet
3)
(va_op_xmm_xmm 8)
(va_op_reg_opr64_reg64 rRbp)
32
Secret
scratch_b
2)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2478 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_DecryptPrelude in_b
scratch_b)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2480 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Ctr32_ghash_6_prelude alg
scratch_b
key_words
round_keys
keys_b
(Vale.AES.GCTR_s.inc32 ctr_BE
0))
(fun (va_s: va_state) _ ->
let mid_len:nat64 =
va_get_reg64 rRdx va_s
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2482 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Words.lemma_quad32_zero
())
(let va_arg86:Vale.Math.Poly2_s.poly
=
Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 8 va_s)
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2483 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.lemma_add_zero
va_arg86)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 2484 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 8
va_s) ==
add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm
8
va_s
))
(Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm
4
va_s
)))
(Vale.Math.Poly2.Bits_s.of_quad32
(Vale.X64.Decls.buffer128_read
scratch_b
1
(va_get_mem_heaplet
3
va_s
))))
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 2485 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32
(Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm
8
va_s
)) ==
va_get_xmm 8
va_s)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2486 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x_loop_decrypt
alg h_LE
(Vale.Def.Types_s.reverse_bytes_quad32
(va_get_xmm
8
va_s
))
(Vale.Def.Types_s.reverse_bytes_quad32
(va_get_xmm
8
va_s
))
iv_b
in_b
in_b
out_b
scratch_b
key_words
round_keys
keys_b
hkeys_b
ctr_BE
(Vale.AES.GCTR_s.inc32
ctr_BE
0))
(fun
(va_s:
va_state
)
(y_new:
quad32
)
->
va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 2488 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer
(va_op_heaplet_mem_heaplet
3
)
(va_op_reg_opr64_reg64
rRbp
)
(va_op_xmm_xmm
1
)
32
Secret
scratch_b
2)
(fun
(va_s:
va_state
)
_
->
let
out_snapshot:(
FStar.Seq.Base.seq
Vale.X64.Decls.quad32
)
=
Vale.X64.Decls.s128
(
va_get_mem_heaplet
6
va_s
)
out_b
in
va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 2492 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(
va_quick_Store128_buffer
(
va_op_heaplet_mem_heaplet
6
)
(
va_op_reg_opr64_reg64
rRsi
)
(
va_op_xmm_xmm
9
)
(
0 -
96
)
Secret
out_b
(
va_get_reg64
rRdx
va_old_s
-
6 +
0
)
)
(
va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 2493 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(
va_quick_Store128_buffer
(
va_op_heaplet_mem_heaplet
6
)
(
va_op_reg_opr64_reg64
rRsi
)
(
va_op_xmm_xmm
10
)
(
0 -
80
)
Secret
out_b
(
va_get_reg64
rRdx
va_old_s
-
6 +
1
)
)
(
va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 2494 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(
va_quick_Store128_buffer
(
va_op_heaplet_mem_heaplet
6
)
(
va_op_reg_opr64_reg64
rRsi
)
(
va_op_xmm_xmm
11
)
(
0 -
64
)
Secret
out_b
(
va_get_reg64
rRdx
va_old_s
-
6 +
2
)
)
(
va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 2495 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(
va_quick_Store128_buffer
(
va_op_heaplet_mem_heaplet
6
)
(
va_op_reg_opr64_reg64
rRsi
)
(
va_op_xmm_xmm
12
)
(
0 -
48
)
Secret
out_b
(
va_get_reg64
rRdx
va_old_s
-
6 +
3
)
)
(
va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 2496 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(
va_quick_Store128_buffer
(
va_op_heaplet_mem_heaplet
6
)
(
va_op_reg_opr64_reg64
rRsi
)
(
va_op_xmm_xmm
13
)
(
0 -
32
)
Secret
out_b
(
va_get_reg64
rRdx
va_old_s
-
6 +
4
)
)
(
va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 2497 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(
va_quick_Store128_buffer
(
va_op_heaplet_mem_heaplet
6
)
(
va_op_reg_opr64_reg64
rRsi
)
(
va_op_xmm_xmm
14
)
(
0 -
16
)
Secret
out_b
(
va_get_reg64
rRdx
va_old_s
-
6 +
5
)
)
(
fun
(
va_s:
va_state
)
_
->
va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 2499 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(
mid_len -
6 >=
0 /\
mid_len -
6 <=
4294967295
)
(
fun
_
->
let
va_arg85:Vale.Def.Types_s.quad32
=
ctr_BE
in
let
va_arg84:(
FStar.Seq.Base.seq
Vale.Def.Types_s.nat32
)
=
key_words
in
let
va_arg83:(
FStar.Seq.Base.seq
Vale.Def.Types_s.quad32
)
=
Vale.X64.Decls.s128
(
va_get_mem_heaplet
6
va_s
)
out_b
in
let
va_arg82:(
FStar.Seq.Base.seq
Vale.Def.Types_s.quad32
)
=
out_snapshot
in
let
va_arg81:(
FStar.Seq.Base.seq
Vale.Def.Types_s.quad32
)
=
Vale.X64.Decls.s128
(
va_get_mem_heaplet
6
va_old_s
)
in_b
in
let
va_arg80:(
FStar.Seq.Base.seq
Vale.Def.Types_s.quad32
)
=
Vale.X64.Decls.s128
(
va_get_mem_heaplet
6
va_old_s
)
in_b
in
let
va_arg79:Vale.Def.Types_s.nat32
=
mid_len -
6
in
let
va_arg78:Vale.AES.AES_common_s.algorithm
=
alg
in
va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 2499 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(
fun
(
_:
unit
)
->
Vale.AES.GCTR.gctr_partial_opaque_ignores_postfix
va_arg78
va_arg79
va_arg80
va_arg81
va_arg82
va_arg83
va_arg84
va_arg85
)
(
va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 2500 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(
mid_len -
6 >=
0 /\
mid_len -
6 <=
4294967295
)
(
fun
_
->
let
va_arg77:Vale.Def.Types_s.quad32
=
ctr_BE
in
let
va_arg76:(
FStar.Seq.Base.seq
Vale.Def.Types_s.nat32
)
=
key_words
in
let
va_arg75:(
FStar.Seq.Base.seq
Vale.Def.Types_s.quad32
)
=
Vale.X64.Decls.s128
(
va_get_mem_heaplet
6
va_s
)
out_b
in
let
va_arg74:(
FStar.Seq.Base.seq
Vale.Def.Types_s.quad32
)
=
Vale.X64.Decls.s128
(
va_get_mem_heaplet
6
va_old_s
)
in_b
in
let
va_arg73:Prims.nat
=
mid_len -
6
in
let
va_arg72:Vale.AES.AES_common_s.algorithm
=
alg
in
va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 2500 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(
fun
(
_:
unit
)
->
Vale.AES.GCTR.gctr_partial_extend6
va_arg72
va_arg73
va_arg74
va_arg75
va_arg76
va_arg77
)
(
va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 2505 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(
va_quick_Sub64
(
va_op_dst_opr64_reg64
rRcx
)
(
va_const_opr64
128
)
)
(
va_QEmpty
(
()
)
)
)
)
)
)
)
)
)
)
)
)
))
))))))))))))))))
)
(fun (va_s: va_state) va_g -> va_QEmpty (())))) | false |
Vale.X64.InsAes.fst | Vale.X64.InsAes.va_lemma_AESNI_keygen_assist | val va_lemma_AESNI_keygen_assist : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm ->
src:va_operand_xmm -> imm:nat8
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_keygen_assist dst src imm) va_s0 /\
va_is_dst_xmm dst va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32
(Vale.AES.AES_common_s.sub_word (Vale.Def.Words_s.__proj__Mkfour__item__lo1 (va_eval_xmm va_s0
src))) (Vale.Arch.Types.ixor32 (Vale.AES.AES_s.rot_word_LE (Vale.AES.AES_common_s.sub_word
(Vale.Def.Words_s.__proj__Mkfour__item__lo1 (va_eval_xmm va_s0 src)))) imm)
(Vale.AES.AES_common_s.sub_word (Vale.Def.Words_s.__proj__Mkfour__item__hi3 (va_eval_xmm va_s0
src))) (Vale.Arch.Types.ixor32 (Vale.AES.AES_s.rot_word_LE (Vale.AES.AES_common_s.sub_word
(Vale.Def.Words_s.__proj__Mkfour__item__hi3 (va_eval_xmm va_s0 src)))) imm) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM va_s0))))) | val va_lemma_AESNI_keygen_assist : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm ->
src:va_operand_xmm -> imm:nat8
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_keygen_assist dst src imm) va_s0 /\
va_is_dst_xmm dst va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32
(Vale.AES.AES_common_s.sub_word (Vale.Def.Words_s.__proj__Mkfour__item__lo1 (va_eval_xmm va_s0
src))) (Vale.Arch.Types.ixor32 (Vale.AES.AES_s.rot_word_LE (Vale.AES.AES_common_s.sub_word
(Vale.Def.Words_s.__proj__Mkfour__item__lo1 (va_eval_xmm va_s0 src)))) imm)
(Vale.AES.AES_common_s.sub_word (Vale.Def.Words_s.__proj__Mkfour__item__hi3 (va_eval_xmm va_s0
src))) (Vale.Arch.Types.ixor32 (Vale.AES.AES_s.rot_word_LE (Vale.AES.AES_common_s.sub_word
(Vale.Def.Words_s.__proj__Mkfour__item__hi3 (va_eval_xmm va_s0 src)))) imm) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM va_s0))))) | let va_lemma_AESNI_keygen_assist va_b0 va_s0 dst src imm =
va_reveal_opaque (`%va_code_AESNI_keygen_assist) (va_code_AESNI_keygen_assist dst src imm);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_keygen_assist imm) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_keygen_assist imm) (OReg dst)
(OReg src))) va_s0 in
(va_sM, va_fM) | {
"file_name": "obj/Vale.X64.InsAes.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 418,
"start_col": 0,
"start_line": 412
} | module Vale.X64.InsAes
open Vale.Def.Types_s
open Vale.X64.Machine_s
open Vale.X64
open Vale.X64.State
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.Decls
open Vale.X64.CPU_Features_s
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
module P = Vale.X64.Print_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 4 --max_fuel 4 --z3rlimit 20"
//-- Pclmulqdq
[@ "opaque_to_smt"]
let va_code_Pclmulqdq dst src dstHi srcHi =
(mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16 else 0)))
(OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_Pclmulqdq dst src dstHi srcHi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Pclmulqdq va_b0 va_s0 dst src dstHi srcHi =
va_reveal_opaque (`%va_code_Pclmulqdq) (va_code_Pclmulqdq dst src dstHi srcHi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16
else 0))) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) +
(if srcHi then 16 else 0))) (OReg dst) (OReg src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Pclmulqdq dst src dstHi srcHi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Pclmulqdq (va_code_Pclmulqdq dst src dstHi srcHi) va_s0 dst src
dstHi srcHi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VPclmulqdq
[@ "opaque_to_smt"]
let va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then 16 else 0)))
(OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VPclmulqdq va_b0 va_s0 dst src1 src2 src1Hi src2Hi =
va_reveal_opaque (`%va_code_VPclmulqdq) (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then
16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0)
+ (if src2Hi then 16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VPclmulqdq dst src1 src2 src1Hi src2Hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VPclmulqdq (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi) va_s0
dst src1 src2 src1Hi src2Hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc
[@ "opaque_to_smt"]
let va_code_AESNI_enc dst src =
(mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc) (va_code_AESNI_enc dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc (va_code_AESNI_enc dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc
[@ "opaque_to_smt"]
let va_code_VAESNI_enc dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc) (va_code_VAESNI_enc dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc) (OReg dst) (OReg src1)
(OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc (va_code_VAESNI_enc dst src1 src2) va_s0 dst src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_enc_last
[@ "opaque_to_smt"]
let va_code_AESNI_enc_last dst src =
(mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_enc_last dst src =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_AESNI_enc_last va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_enc_last) (va_code_AESNI_enc_last dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_enc_last) (OReg dst) (OReg
src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AESNI_enc_last dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_enc_last (va_code_AESNI_enc_last dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VAESNI_enc_last
[@ "opaque_to_smt"]
let va_code_VAESNI_enc_last dst src1 src2 =
(mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VAESNI_enc_last dst src1 src2 =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_VAESNI_enc_last va_b0 va_s0 dst src1 src2 =
va_reveal_opaque (`%va_code_VAESNI_enc_last) (va_code_VAESNI_enc_last dst src1 src2);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg src1) (OReg src2)))
va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VAESNI_enc_last) (OReg dst) (OReg
src1) (OReg src2))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_VAESNI_enc_last dst src1 src2 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_VAESNI_enc_last (va_code_VAESNI_enc_last dst src1 src2) va_s0 dst
src1 src2 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AESNI_dec
val va_code_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code
[@ "opaque_to_smt"]
let va_code_AESNI_dec dst src =
(mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src)))
val va_codegen_success_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_dec dst src =
(va_ttrue ())
val va_lemma_AESNI_dec : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm -> src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_dec dst src) va_s0 /\ va_is_dst_xmm dst va_s0 /\
va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_s.inv_mix_columns_LE
(Vale.AES.AES_common_s.inv_sub_bytes (Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0
dst)))) (va_eval_xmm va_s0 src) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM
(va_update_operand_xmm dst va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_AESNI_dec va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_dec) (va_code_AESNI_dec dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_dec) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_dec (dst:va_operand_xmm) (src:va_operand_xmm) (va_s0:va_state) (va_k:(va_state ->
unit -> Type0)) : Type0 =
(va_is_dst_xmm dst va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled /\
(forall (va_x_dst:va_value_xmm) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl
(va_upd_operand_xmm dst va_x_dst va_s0) in va_get_ok va_sM /\ va_eval_xmm va_sM dst ==
Vale.Def.Types_s.quad32_xor (Vale.AES.AES_s.inv_mix_columns_LE
(Vale.AES.AES_common_s.inv_sub_bytes (Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0
dst)))) (va_eval_xmm va_s0 src) ==> va_k va_sM (())))
val va_wpProof_AESNI_dec : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_dec dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_dec dst src) ([va_Mod_flags;
va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_dec dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_dec (va_code_AESNI_dec dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AESNI_dec (dst:va_operand_xmm) (src:va_operand_xmm) : (va_quickCode unit
(va_code_AESNI_dec dst src)) =
(va_QProc (va_code_AESNI_dec dst src) ([va_Mod_flags; va_mod_xmm dst]) (va_wp_AESNI_dec dst src)
(va_wpProof_AESNI_dec dst src))
//--
//-- AESNI_dec_last
val va_code_AESNI_dec_last : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code
[@ "opaque_to_smt"]
let va_code_AESNI_dec_last dst src =
(mk_ins (make_instr (I.ins_AESNI_dec_last) (OReg dst) (OReg src)))
val va_codegen_success_AESNI_dec_last : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_dec_last dst src =
(va_ttrue ())
val va_lemma_AESNI_dec_last : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm ->
src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_dec_last dst src) va_s0 /\ va_is_dst_xmm dst
va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Def.Types_s.quad32_xor (Vale.AES.AES_common_s.inv_sub_bytes
(Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0 dst))) (va_eval_xmm va_s0 src) /\
va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM
va_s0)))))
[@"opaque_to_smt"]
let va_lemma_AESNI_dec_last va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_dec_last) (va_code_AESNI_dec_last dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_dec_last) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_dec_last) (OReg dst) (OReg
src))) va_s0 in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_dec_last (dst:va_operand_xmm) (src:va_operand_xmm) (va_s0:va_state) (va_k:(va_state
-> unit -> Type0)) : Type0 =
(va_is_dst_xmm dst va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled /\
(forall (va_x_dst:va_value_xmm) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl
(va_upd_operand_xmm dst va_x_dst va_s0) in va_get_ok va_sM /\ va_eval_xmm va_sM dst ==
Vale.Def.Types_s.quad32_xor (Vale.AES.AES_common_s.inv_sub_bytes
(Vale.AES.AES_s.inv_shift_rows_LE (va_eval_xmm va_s0 dst))) (va_eval_xmm va_s0 src) ==> va_k
va_sM (())))
val va_wpProof_AESNI_dec_last : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_dec_last dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_dec_last dst src)
([va_Mod_flags; va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_dec_last dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_dec_last (va_code_AESNI_dec_last dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AESNI_dec_last (dst:va_operand_xmm) (src:va_operand_xmm) : (va_quickCode unit
(va_code_AESNI_dec_last dst src)) =
(va_QProc (va_code_AESNI_dec_last dst src) ([va_Mod_flags; va_mod_xmm dst]) (va_wp_AESNI_dec_last
dst src) (va_wpProof_AESNI_dec_last dst src))
//--
//-- AESNI_imc
val va_code_AESNI_imc : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_code
[@ "opaque_to_smt"]
let va_code_AESNI_imc dst src =
(mk_ins (make_instr (I.ins_AESNI_imc) (OReg dst) (OReg src)))
val va_codegen_success_AESNI_imc : dst:va_operand_xmm -> src:va_operand_xmm -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_imc dst src =
(va_ttrue ())
val va_lemma_AESNI_imc : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm -> src:va_operand_xmm
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_imc dst src) va_s0 /\ va_is_dst_xmm dst va_s0 /\
va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.AES.AES_s.inv_mix_columns_LE (va_eval_xmm va_s0 src) /\
va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM
va_s0)))))
[@"opaque_to_smt"]
let va_lemma_AESNI_imc va_b0 va_s0 dst src =
va_reveal_opaque (`%va_code_AESNI_imc) (va_code_AESNI_imc dst src);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_imc) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AESNI_imc) (OReg dst) (OReg src)))
va_s0 in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_imc (dst:va_operand_xmm) (src:va_operand_xmm) (va_s0:va_state) (va_k:(va_state ->
unit -> Type0)) : Type0 =
(va_is_dst_xmm dst va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ aesni_enabled /\
(forall (va_x_dst:va_value_xmm) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl
(va_upd_operand_xmm dst va_x_dst va_s0) in va_get_ok va_sM /\ va_eval_xmm va_sM dst ==
Vale.AES.AES_s.inv_mix_columns_LE (va_eval_xmm va_s0 src) ==> va_k va_sM (())))
val va_wpProof_AESNI_imc : dst:va_operand_xmm -> src:va_operand_xmm -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AESNI_imc dst src va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_imc dst src) ([va_Mod_flags;
va_mod_xmm dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_imc dst src va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_imc (va_code_AESNI_imc dst src) va_s0 dst src in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AESNI_imc (dst:va_operand_xmm) (src:va_operand_xmm) : (va_quickCode unit
(va_code_AESNI_imc dst src)) =
(va_QProc (va_code_AESNI_imc dst src) ([va_Mod_flags; va_mod_xmm dst]) (va_wp_AESNI_imc dst src)
(va_wpProof_AESNI_imc dst src))
//--
//-- AESNI_keygen_assist
[@ "opaque_to_smt"]
let va_code_AESNI_keygen_assist dst src imm =
(mk_ins (make_instr (I.ins_AESNI_keygen_assist imm) (OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_AESNI_keygen_assist dst src imm =
(va_ttrue ()) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.State.fsti.checked",
"Vale.X64.Print_s.fst.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.AES.AES_s.fst.checked",
"Vale.AES.AES_common_s.fst.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsAes.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Print_s",
"short_module": "P"
},
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"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.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"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": 4,
"initial_ifuel": 0,
"max_fuel": 4,
"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 |
va_b0: Vale.X64.Decls.va_code ->
va_s0: Vale.X64.Decls.va_state ->
dst: Vale.X64.Decls.va_operand_xmm ->
src: Vale.X64.Decls.va_operand_xmm ->
imm: Vale.Def.Types_s.nat8
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.Decls.va_operand_xmm",
"Vale.Def.Types_s.nat8",
"Vale.X64.State.vale_state",
"Vale.X64.Lemmas.fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.tuple2",
"Prims.nat",
"Vale.X64.Decls.va_eval_ins",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.out",
"Vale.X64.Instruction_s.opXmm",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_AESNI_keygen_assist",
"Vale.X64.Machine_s.OReg",
"Vale.X64.Machine_s.quad32",
"Vale.X64.Machine_s.reg_xmm",
"Prims.unit",
"Vale.X64.Decls.va_ins_lemma",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.InsAes.va_code_AESNI_keygen_assist"
] | [] | false | false | false | false | false | let va_lemma_AESNI_keygen_assist va_b0 va_s0 dst src imm =
| va_reveal_opaque (`%va_code_AESNI_keygen_assist) (va_code_AESNI_keygen_assist dst src imm);
let va_old_s:va_state = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_AESNI_keygen_assist imm) (OReg dst) (OReg src))) va_s0;
let va_sM, va_fM =
va_eval_ins (mk_ins (make_instr (I.ins_AESNI_keygen_assist imm) (OReg dst) (OReg src))) va_s0
in
(va_sM, va_fM) | false |
Vale.AES.X64.AESGCM.fst | Vale.AES.X64.AESGCM.va_lemma_AES_GCM_decrypt_6mult | val va_lemma_AES_GCM_decrypt_6mult : va_b0:va_code -> va_s0:va_state -> alg:algorithm ->
h_LE:quad32 -> iv_b:buffer128 -> in_b:buffer128 -> out_b:buffer128 -> scratch_b:buffer128 ->
key_words:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AES_GCM_decrypt_6mult alg) va_s0 /\ va_get_ok va_s0 /\
(sse_enabled /\ movbe_enabled /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_s0)
(va_get_reg64 rR8 va_s0) iv_b 1 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi va_s0) in_b
(va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128
(va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0) out_b (va_get_reg64 rRdx va_s0)
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3
va_s0) (va_get_reg64 rRbp va_s0) scratch_b 9 (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32)
hkeys_b 8 (va_get_mem_layout va_s0) Secret /\ (Vale.X64.Decls.buffers_disjoint128 in_b out_b \/
in_b == out_b) /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64
/\ va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\
Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b == Vale.X64.Decls.buffer_length
#Vale.X64.Memory.vuint128 out_b /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b
== va_get_reg64 rRdx va_s0 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b
`op_Multiply` 16 < pow2_32 /\ Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint128 keys_b
(va_get_mem_heaplet 0 va_s0) + 128 < pow2_64 /\ aes_reqs_offset alg key_words round_keys keys_b
(va_get_reg64 rRcx va_s0 + 128) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\
va_get_xmm 0 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123
67438087 66051 /\ pclmulqdq_enabled /\ h_LE == Vale.AES.AES_s.aes_encrypt_LE alg key_words
(Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv
(Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b)
(Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ va_get_reg64 rRdx va_s0 `op_Modulus` 6 == 0 /\
(va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRdx va_s0 >= 6) /\ (va_get_reg64 rRdx va_s0 > 0
==> va_get_reg64 rRdx va_s0 `op_Division` 6 >= 1) /\ 12 + va_get_reg64 rRdx va_s0 + 6 <
pow2_32)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(Vale.X64.Decls.modifies_buffer128 out_b (va_get_mem_heaplet 6 va_s0) (va_get_mem_heaplet 6
va_sM) /\ Vale.X64.Decls.modifies_buffer128 iv_b (va_get_mem_heaplet 2 va_s0)
(va_get_mem_heaplet 2 va_sM) /\ Vale.X64.Decls.modifies_buffer_specific128 scratch_b
(va_get_mem_heaplet 3 va_s0) (va_get_mem_heaplet 3 va_sM) 1 8 /\ va_get_reg64 rRcx va_sM ==
va_get_reg64 rRcx va_s0 /\ Vale.AES.GCTR.gctr_partial alg (va_get_reg64 rRdx va_s0)
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in_b) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) out_b) key_words (va_get_xmm 1 va_s0) /\
Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_sM) == Vale.AES.GHash.ghash_incremental0
h_LE (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s0)) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) in_b) /\ l_and (va_get_reg64 rRdx va_s0 < pow2_32)
(Vale.X64.Decls.buffer128_read scratch_b 2 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite (va_get_xmm 1 va_s0)
(va_get_reg64 rRdx va_s0)))) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet
3 va_sM (va_update_mem_heaplet 2 va_sM (va_update_mem_heaplet 6 va_sM (va_update_xmm 15 va_sM
(va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM
(va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM
(va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM
(va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR14
va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))))))))))))))))))))))) | val va_lemma_AES_GCM_decrypt_6mult : va_b0:va_code -> va_s0:va_state -> alg:algorithm ->
h_LE:quad32 -> iv_b:buffer128 -> in_b:buffer128 -> out_b:buffer128 -> scratch_b:buffer128 ->
key_words:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AES_GCM_decrypt_6mult alg) va_s0 /\ va_get_ok va_s0 /\
(sse_enabled /\ movbe_enabled /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_s0)
(va_get_reg64 rR8 va_s0) iv_b 1 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi va_s0) in_b
(va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128
(va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0) out_b (va_get_reg64 rRdx va_s0)
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3
va_s0) (va_get_reg64 rRbp va_s0) scratch_b 9 (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32)
hkeys_b 8 (va_get_mem_layout va_s0) Secret /\ (Vale.X64.Decls.buffers_disjoint128 in_b out_b \/
in_b == out_b) /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64
/\ va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\
Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b == Vale.X64.Decls.buffer_length
#Vale.X64.Memory.vuint128 out_b /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b
== va_get_reg64 rRdx va_s0 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b
`op_Multiply` 16 < pow2_32 /\ Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint128 keys_b
(va_get_mem_heaplet 0 va_s0) + 128 < pow2_64 /\ aes_reqs_offset alg key_words round_keys keys_b
(va_get_reg64 rRcx va_s0 + 128) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\
va_get_xmm 0 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123
67438087 66051 /\ pclmulqdq_enabled /\ h_LE == Vale.AES.AES_s.aes_encrypt_LE alg key_words
(Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv
(Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b)
(Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ va_get_reg64 rRdx va_s0 `op_Modulus` 6 == 0 /\
(va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRdx va_s0 >= 6) /\ (va_get_reg64 rRdx va_s0 > 0
==> va_get_reg64 rRdx va_s0 `op_Division` 6 >= 1) /\ 12 + va_get_reg64 rRdx va_s0 + 6 <
pow2_32)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(Vale.X64.Decls.modifies_buffer128 out_b (va_get_mem_heaplet 6 va_s0) (va_get_mem_heaplet 6
va_sM) /\ Vale.X64.Decls.modifies_buffer128 iv_b (va_get_mem_heaplet 2 va_s0)
(va_get_mem_heaplet 2 va_sM) /\ Vale.X64.Decls.modifies_buffer_specific128 scratch_b
(va_get_mem_heaplet 3 va_s0) (va_get_mem_heaplet 3 va_sM) 1 8 /\ va_get_reg64 rRcx va_sM ==
va_get_reg64 rRcx va_s0 /\ Vale.AES.GCTR.gctr_partial alg (va_get_reg64 rRdx va_s0)
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in_b) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) out_b) key_words (va_get_xmm 1 va_s0) /\
Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_sM) == Vale.AES.GHash.ghash_incremental0
h_LE (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s0)) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) in_b) /\ l_and (va_get_reg64 rRdx va_s0 < pow2_32)
(Vale.X64.Decls.buffer128_read scratch_b 2 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite (va_get_xmm 1 va_s0)
(va_get_reg64 rRdx va_s0)))) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet
3 va_sM (va_update_mem_heaplet 2 va_sM (va_update_mem_heaplet 6 va_sM (va_update_xmm 15 va_sM
(va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM
(va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM
(va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM
(va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR14
va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))))))))))))))))))))))) | let va_lemma_AES_GCM_decrypt_6mult va_b0 va_s0 alg h_LE iv_b in_b out_b scratch_b key_words
round_keys keys_b hkeys_b =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2;
va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm
11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14;
va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRax; va_Mod_ok;
va_Mod_mem] in
let va_qc = va_qcode_AES_GCM_decrypt_6mult va_mods alg h_LE iv_b in_b out_b scratch_b key_words
round_keys keys_b hkeys_b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_AES_GCM_decrypt_6mult alg) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 2359 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ (label va_range1
"***** POSTCONDITION NOT MET AT line 2429 column 53 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer128 out_b (va_get_mem_heaplet 6 va_s0) (va_get_mem_heaplet 6
va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 2430 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer128 iv_b (va_get_mem_heaplet 2 va_s0) (va_get_mem_heaplet 2
va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 2431 column 72 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 8) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 2433 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 2436 column 100 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.AES.GCTR.gctr_partial alg (va_get_reg64 rRdx va_s0) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) in_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out_b)
key_words (va_get_xmm 1 va_s0)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 2439 column 116 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_sM) ==
Vale.AES.GHash.ghash_incremental0 h_LE (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8
va_s0)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in_b)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 2443 column 98 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(l_and (va_get_reg64 rRdx va_s0 < pow2_32) (Vale.X64.Decls.buffer128_read scratch_b 2
(va_get_mem_heaplet 3 va_sM) == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
(va_get_xmm 1 va_s0) (va_get_reg64 rRdx va_s0)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet
6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10;
va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm
3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64
rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0;
(va_sM, va_fM) | {
"file_name": "obj/Vale.AES.X64.AESGCM.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 8088,
"start_col": 0,
"start_line": 8043
} | module Vale.AES.X64.AESGCM
open FStar.Mul
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.AES.AES_s
open Vale.X64.Machine_s
open Vale.X64.Memory
open Vale.X64.State
open Vale.X64.Decls
open Vale.X64.InsBasic
open Vale.X64.InsMem
open Vale.X64.InsVector
open Vale.X64.InsAes
open Vale.X64.QuickCode
open Vale.X64.QuickCodes
open Vale.Arch.Types
open Vale.AES.AES_helpers
//open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers
open Vale.AES.GCTR_s
open Vale.AES.GCTR
open Vale.Arch.TypesNative
open Vale.X64.CPU_Features_s
open Vale.AES.X64.PolyOps
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
open Vale.AES.X64.AESopt
open Vale.AES.X64.AESopt2
unfold let lo(x:poly):poly = mask x 64
unfold let hi(x:poly):poly = shift x (-64)
//let scratch_reqs (scratch_b:buffer128) (count:nat) (heap3:vale_heap) (s:seq quad32) (z3:quad32) : prop0 =
// count * 6 + 6 <= length s /\
// (let data = slice s (count * 6) (count * 6 + 6) in
// z3 == reverse_bytes_quad32 (index data 5) /\
// buffer128_read scratch_b 3 heap3 == reverse_bytes_quad32 (index data 4) /\
// buffer128_read scratch_b 4 heap3 == reverse_bytes_quad32 (index data 3) /\
// buffer128_read scratch_b 5 heap3 == reverse_bytes_quad32 (index data 2) /\
// buffer128_read scratch_b 6 heap3 == reverse_bytes_quad32 (index data 1) /\
// buffer128_read scratch_b 7 heap3 == reverse_bytes_quad32 (index data 0))
let scratch_reqs_simple (scratch_b:buffer128) (heap3:vale_heap) (data:seq quad32) (z3:quad32) : prop0 =
length data == 6 /\
z3 == reverse_bytes_quad32 (index data 5) /\
buffer128_read scratch_b 3 heap3 == reverse_bytes_quad32 (index data 4) /\
buffer128_read scratch_b 4 heap3 == reverse_bytes_quad32 (index data 3) /\
buffer128_read scratch_b 5 heap3 == reverse_bytes_quad32 (index data 2) /\
buffer128_read scratch_b 6 heap3 == reverse_bytes_quad32 (index data 1) /\
buffer128_read scratch_b 7 heap3 == reverse_bytes_quad32 (index data 0)
//-- finish_aes_encrypt_le
val finish_aes_encrypt_le : alg:algorithm -> input_LE:quad32 -> key:(seq nat32)
-> Lemma
(requires (Vale.AES.AES_s.is_aes_key_LE alg key))
(ensures (Vale.AES.AES_s.aes_encrypt_LE alg key input_LE == Vale.AES.AES_s.eval_cipher alg
input_LE (Vale.AES.AES_s.key_to_round_keys_LE alg key)))
let finish_aes_encrypt_le alg input_LE key =
Vale.AES.AES_s.aes_encrypt_LE_reveal ();
Vale.AES.AES_s.eval_cipher_reveal ();
()
//--
let va_subscript_FStar__Seq__Base__seq = Seq.index
#reset-options "--z3rlimit 30"
//-- Load_one_msb
val va_code_Load_one_msb : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Load_one_msb () =
(va_Block (va_CCons (va_code_ZeroXmm (va_op_xmm_xmm 2)) (va_CCons (va_code_PinsrqImm
(va_op_xmm_xmm 2) 72057594037927936 1 (va_op_reg_opr64_reg64 rR11)) (va_CNil ()))))
val va_codegen_success_Load_one_msb : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Load_one_msb () =
(va_pbool_and (va_codegen_success_ZeroXmm (va_op_xmm_xmm 2)) (va_pbool_and
(va_codegen_success_PinsrqImm (va_op_xmm_xmm 2) 72057594037927936 1 (va_op_reg_opr64_reg64
rR11)) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Load_one_msb (va_mods:va_mods_t) : (va_quickCode unit (va_code_Load_one_msb ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 145 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_ZeroXmm (va_op_xmm_xmm 2)) (fun (va_s:va_state) _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 146 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Arch.Types.two_to_nat32 (Vale.Def.Words_s.Mktwo #Vale.Def.Words_s.nat32 0 16777216) ==
72057594037927936) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 147 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_PinsrqImm (va_op_xmm_xmm 2) 72057594037927936 1 (va_op_reg_opr64_reg64 rR11)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.Def.Types_s.insert_nat64_reveal ()) (va_QEmpty (())))))))
val va_lemma_Load_one_msb : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Load_one_msb ()) va_s0 /\ va_get_ok va_s0 /\
sse_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
va_state_eq va_sM (va_update_flags va_sM (va_update_xmm 2 va_sM (va_update_reg64 rR11 va_sM
(va_update_ok va_sM va_s0))))))
[@"opaque_to_smt"]
let va_lemma_Load_one_msb va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_xmm 2; va_Mod_reg64 rR11; va_Mod_ok] in
let va_qc = va_qcode_Load_one_msb va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Load_one_msb ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 138 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 143 column 46 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 2; va_Mod_reg64 rR11; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Load_one_msb (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ sse_enabled /\ (forall (va_x_r11:nat64) (va_x_xmm2:quad32)
(va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_xmm 2 va_x_xmm2
(va_upd_reg64 rR11 va_x_r11 va_s0)) in va_get_ok va_sM /\ va_get_xmm 2 va_sM ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 ==> va_k va_sM (())))
val va_wpProof_Load_one_msb : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Load_one_msb va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Load_one_msb ()) ([va_Mod_flags;
va_Mod_xmm 2; va_Mod_reg64 rR11]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Load_one_msb va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Load_one_msb (va_code_Load_one_msb ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_xmm 2 va_sM (va_update_reg64 rR11
va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 2; va_Mod_reg64 rR11]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Load_one_msb () : (va_quickCode unit (va_code_Load_one_msb ())) =
(va_QProc (va_code_Load_one_msb ()) ([va_Mod_flags; va_Mod_xmm 2; va_Mod_reg64 rR11])
va_wp_Load_one_msb va_wpProof_Load_one_msb)
//--
//-- Ctr32_ghash_6_prelude
val va_code_Ctr32_ghash_6_prelude : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ctr32_ghash_6_prelude alg =
(va_Block (va_CCons (va_code_Load_one_msb ()) (va_CCons (va_code_VPxor (va_op_xmm_xmm 4)
(va_op_xmm_xmm 4) (va_op_opr128_xmm 4)) (va_CCons (va_code_Load128_buffer
(va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 15) (va_op_reg_opr64_reg64 rRcx) (0 - 128) Secret)
(va_CCons (va_code_VPaddd (va_op_xmm_xmm 10) (va_op_xmm_xmm 1) (va_op_xmm_xmm 2)) (va_CCons
(va_code_VPaddd (va_op_xmm_xmm 11) (va_op_xmm_xmm 10) (va_op_xmm_xmm 2)) (va_CCons
(va_code_VPaddd (va_op_xmm_xmm 12) (va_op_xmm_xmm 11) (va_op_xmm_xmm 2)) (va_CCons
(va_code_VPaddd (va_op_xmm_xmm 13) (va_op_xmm_xmm 12) (va_op_xmm_xmm 2)) (va_CCons
(va_code_VPaddd (va_op_xmm_xmm 14) (va_op_xmm_xmm 13) (va_op_xmm_xmm 2)) (va_CCons
(va_code_VPxor (va_op_xmm_xmm 9) (va_op_xmm_xmm 1) (va_op_opr128_xmm 15)) (va_CCons
(va_code_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 4) 16 Secret) (va_CNil ()))))))))))))
val va_codegen_success_Ctr32_ghash_6_prelude : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ctr32_ghash_6_prelude alg =
(va_pbool_and (va_codegen_success_Load_one_msb ()) (va_pbool_and (va_codegen_success_VPxor
(va_op_xmm_xmm 4) (va_op_xmm_xmm 4) (va_op_opr128_xmm 4)) (va_pbool_and
(va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 15)
(va_op_reg_opr64_reg64 rRcx) (0 - 128) Secret) (va_pbool_and (va_codegen_success_VPaddd
(va_op_xmm_xmm 10) (va_op_xmm_xmm 1) (va_op_xmm_xmm 2)) (va_pbool_and
(va_codegen_success_VPaddd (va_op_xmm_xmm 11) (va_op_xmm_xmm 10) (va_op_xmm_xmm 2))
(va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 12) (va_op_xmm_xmm 11) (va_op_xmm_xmm
2)) (va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 13) (va_op_xmm_xmm 12)
(va_op_xmm_xmm 2)) (va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 14) (va_op_xmm_xmm
13) (va_op_xmm_xmm 2)) (va_pbool_and (va_codegen_success_VPxor (va_op_xmm_xmm 9) (va_op_xmm_xmm
1) (va_op_opr128_xmm 15)) (va_pbool_and (va_codegen_success_Store128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 4) 16 Secret)
(va_ttrue ())))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ctr32_ghash_6_prelude (va_mods:va_mods_t) (alg:algorithm) (scratch_b:buffer128)
(key_words:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (ctr_orig:quad32) :
(va_quickCode unit (va_code_Ctr32_ghash_6_prelude alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 211 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load_one_msb ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 212 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 4) (va_op_xmm_xmm 4) (va_op_opr128_xmm 4)) (fun (va_s:va_state)
_ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.Arch.Types.lemma_quad32_xor ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 214 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 15)
(va_op_reg_opr64_reg64 rRcx) (0 - 128) Secret keys_b 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 215 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 10) (va_op_xmm_xmm 1) (va_op_xmm_xmm 2)) (fun (va_s:va_state) _
-> let (va_arg44:Vale.Def.Types_s.quad32) = va_get_xmm 10 va_s in let
(va_arg43:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_old_s in let
(va_arg42:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite ctr_orig 0 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.lemma_incr_msb va_arg42 va_arg43 va_arg44 1) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 216 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 11) (va_op_xmm_xmm 10) (va_op_xmm_xmm 2)) (fun (va_s:va_state)
_ -> let (va_arg41:Vale.Def.Types_s.quad32) = va_get_xmm 11 va_s in let
(va_arg40:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_old_s in let
(va_arg39:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite ctr_orig 0 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.lemma_incr_msb va_arg39 va_arg40 va_arg41 2) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 217 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 12) (va_op_xmm_xmm 11) (va_op_xmm_xmm 2)) (fun (va_s:va_state)
_ -> let (va_arg38:Vale.Def.Types_s.quad32) = va_get_xmm 12 va_s in let
(va_arg37:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_old_s in let
(va_arg36:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite ctr_orig 0 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 217 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.lemma_incr_msb va_arg36 va_arg37 va_arg38 3) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 218 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 13) (va_op_xmm_xmm 12) (va_op_xmm_xmm 2)) (fun (va_s:va_state)
_ -> let (va_arg35:Vale.Def.Types_s.quad32) = va_get_xmm 13 va_s in let
(va_arg34:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_old_s in let
(va_arg33:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite ctr_orig 0 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.lemma_incr_msb va_arg33 va_arg34 va_arg35 4) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 219 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 14) (va_op_xmm_xmm 13) (va_op_xmm_xmm 2)) (fun (va_s:va_state)
_ -> let (va_arg32:Vale.Def.Types_s.quad32) = va_get_xmm 14 va_s in let
(va_arg31:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_old_s in let
(va_arg30:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite ctr_orig 0 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 219 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.lemma_incr_msb va_arg30 va_arg31 va_arg32 5) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 220 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 9) (va_op_xmm_xmm 1) (va_op_opr128_xmm 15)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 221 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 4) 16 Secret scratch_b 1) (va_QEmpty (())))))))))))))))))))
val va_lemma_Ctr32_ghash_6_prelude : va_b0:va_code -> va_s0:va_state -> alg:algorithm ->
scratch_b:buffer128 -> key_words:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 ->
ctr_orig:quad32
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Ctr32_ghash_6_prelude alg) va_s0 /\ va_get_ok va_s0 /\
(sse_enabled /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp
va_s0) scratch_b 8 (va_get_mem_layout va_s0) Secret /\ aes_reqs_offset alg key_words round_keys
keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\
va_get_xmm 1 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig
0))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 1 /\ va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32
round_keys 0 /\ va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 0)) (va_get_xmm 15
va_sM) /\ (let counter = Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_orig `op_Modulus` 256
in (counter + 6 < 256 ==> va_get_xmm 10 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 1)) /\ (counter + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 2)) /\ (counter + 6 <
256 ==> va_get_xmm 12 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_orig 3)) /\ (counter + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 4)) /\ (counter + 6 <
256 ==> va_get_xmm 14 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_orig 5)) /\ Vale.X64.Decls.buffer128_read scratch_b 1 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0 /\ va_get_xmm 4 va_sM ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0)) /\ va_state_eq va_sM (va_update_flags
va_sM (va_update_mem_heaplet 3 va_sM (va_update_reg64 rR11 va_sM (va_update_xmm 15 va_sM
(va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM
(va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 4 va_sM (va_update_xmm 2 va_sM
(va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ctr32_ghash_6_prelude va_b0 va_s0 alg scratch_b key_words round_keys keys_b ctr_orig =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_reg64 rR11; va_Mod_xmm 15;
va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9;
va_Mod_xmm 4; va_Mod_xmm 2; va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_Ctr32_ghash_6_prelude va_mods alg scratch_b key_words round_keys keys_b
ctr_orig in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ctr32_ghash_6_prelude alg) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 151 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ (label va_range1
"***** POSTCONDITION NOT MET AT line 194 column 72 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 1) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 196 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 197 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 round_keys 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 199 column 83 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 0)) (va_get_xmm 15 va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(let counter = Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_orig `op_Modulus` 256 in label
va_range1
"***** POSTCONDITION NOT MET AT line 201 column 85 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(counter + 6 < 256 ==> va_get_xmm 10 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 85 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(counter + 6 < 256 ==> va_get_xmm 11 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 2)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 203 column 85 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(counter + 6 < 256 ==> va_get_xmm 12 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 3)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 204 column 85 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(counter + 6 < 256 ==> va_get_xmm 13 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 4)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 205 column 85 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(counter + 6 < 256 ==> va_get_xmm 14 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 5)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 207 column 66 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read scratch_b 1 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 208 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 4 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_reg64 rR11; va_Mod_xmm 15;
va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9;
va_Mod_xmm 4; va_Mod_xmm 2; va_Mod_ok; va_Mod_mem]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Ctr32_ghash_6_prelude (alg:algorithm) (scratch_b:buffer128) (key_words:(seq nat32))
(round_keys:(seq quad32)) (keys_b:buffer128) (ctr_orig:quad32) (va_s0:va_state) (va_k:(va_state
-> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0)
(va_get_reg64 rRbp va_s0) scratch_b 8 (va_get_mem_layout va_s0) Secret /\ aes_reqs_offset alg
key_words round_keys keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0)
(va_get_mem_layout va_s0) /\ va_get_xmm 1 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 0)) /\ (forall (va_x_mem:vale_heap) (va_x_xmm2:quad32)
(va_x_xmm4:quad32) (va_x_xmm9:quad32) (va_x_xmm10:quad32) (va_x_xmm11:quad32)
(va_x_xmm12:quad32) (va_x_xmm13:quad32) (va_x_xmm14:quad32) (va_x_xmm15:quad32)
(va_x_r11:nat64) (va_x_heap3:vale_heap) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags
va_x_efl (va_upd_mem_heaplet 3 va_x_heap3 (va_upd_reg64 rR11 va_x_r11 (va_upd_xmm 15 va_x_xmm15
(va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13 va_x_xmm13 (va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11
va_x_xmm11 (va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 9 va_x_xmm9 (va_upd_xmm 4 va_x_xmm4
(va_upd_xmm 2 va_x_xmm2 (va_upd_mem va_x_mem va_s0)))))))))))) in va_get_ok va_sM /\
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 1 /\ va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32
round_keys 0 /\ va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 0)) (va_get_xmm 15
va_sM) /\ (let counter = Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_orig `op_Modulus` 256
in (counter + 6 < 256 ==> va_get_xmm 10 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 1)) /\ (counter + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 2)) /\ (counter + 6 <
256 ==> va_get_xmm 12 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_orig 3)) /\ (counter + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 4)) /\ (counter + 6 <
256 ==> va_get_xmm 14 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_orig 5)) /\ Vale.X64.Decls.buffer128_read scratch_b 1 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0 /\ va_get_xmm 4 va_sM ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0)) ==> va_k va_sM (())))
val va_wpProof_Ctr32_ghash_6_prelude : alg:algorithm -> scratch_b:buffer128 -> key_words:(seq
nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> ctr_orig: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_Ctr32_ghash_6_prelude alg scratch_b key_words round_keys
keys_b ctr_orig va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ctr32_ghash_6_prelude alg)
([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_reg64 rR11; va_Mod_xmm 15; va_Mod_xmm 14;
va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 4;
va_Mod_xmm 2; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ctr32_ghash_6_prelude alg scratch_b key_words round_keys keys_b ctr_orig va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ctr32_ghash_6_prelude (va_code_Ctr32_ghash_6_prelude alg) va_s0 alg
scratch_b key_words round_keys keys_b ctr_orig in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 3 va_sM (va_update_reg64
rR11 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM
(va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 9 va_sM
(va_update_xmm 4 va_sM (va_update_xmm 2 va_sM (va_update_ok va_sM (va_update_mem va_sM
va_s0)))))))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_reg64 rR11; va_Mod_xmm 15;
va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9;
va_Mod_xmm 4; va_Mod_xmm 2; va_Mod_mem]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ctr32_ghash_6_prelude (alg:algorithm) (scratch_b:buffer128) (key_words:(seq nat32))
(round_keys:(seq quad32)) (keys_b:buffer128) (ctr_orig:quad32) : (va_quickCode unit
(va_code_Ctr32_ghash_6_prelude alg)) =
(va_QProc (va_code_Ctr32_ghash_6_prelude alg) ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_reg64
rR11; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10;
va_Mod_xmm 9; va_Mod_xmm 4; va_Mod_xmm 2; va_Mod_mem]) (va_wp_Ctr32_ghash_6_prelude alg
scratch_b key_words round_keys keys_b ctr_orig) (va_wpProof_Ctr32_ghash_6_prelude alg scratch_b
key_words round_keys keys_b ctr_orig))
//--
//-- Handle_ctr32_2
val va_code_Handle_ctr32_2 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Handle_ctr32_2 () =
(va_Block (va_CCons (va_code_VPshufb (va_op_xmm_xmm 6) (va_op_xmm_xmm 1) (va_op_xmm_xmm 0))
(va_CCons (va_code_Load_one_lsb (va_op_xmm_xmm 5)) (va_CCons (va_code_VPaddd (va_op_xmm_xmm 10)
(va_op_xmm_xmm 6) (va_op_xmm_xmm 5)) (va_CCons (va_code_Load_two_lsb (va_op_xmm_xmm 5))
(va_CCons (va_code_VPaddd (va_op_xmm_xmm 11) (va_op_xmm_xmm 6) (va_op_xmm_xmm 5)) (va_CCons
(va_code_VPaddd (va_op_xmm_xmm 12) (va_op_xmm_xmm 10) (va_op_xmm_xmm 5)) (va_CCons
(va_code_VPshufb (va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_xmm_xmm 0)) (va_CCons
(va_code_VPaddd (va_op_xmm_xmm 13) (va_op_xmm_xmm 11) (va_op_xmm_xmm 5)) (va_CCons
(va_code_VPshufb (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_xmm_xmm 0)) (va_CCons
(va_code_VPxor (va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_opr128_xmm 4)) (va_CCons
(va_code_VPaddd (va_op_xmm_xmm 14) (va_op_xmm_xmm 12) (va_op_xmm_xmm 5)) (va_CCons
(va_code_VPshufb (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_xmm_xmm 0)) (va_CCons
(va_code_VPxor (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_opr128_xmm 4)) (va_CCons
(va_code_VPaddd (va_op_xmm_xmm 1) (va_op_xmm_xmm 13) (va_op_xmm_xmm 5)) (va_CCons
(va_code_VPshufb (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_xmm_xmm 0)) (va_CCons
(va_code_VPxor (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_opr128_xmm 4)) (va_CCons
(va_code_VPshufb (va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_xmm_xmm 0)) (va_CCons
(va_code_VPxor (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_opr128_xmm 4)) (va_CCons
(va_code_VPshufb (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm 0)) (va_CCons
(va_code_VPxor (va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_opr128_xmm 4)) (va_CNil
()))))))))))))))))))))))
val va_codegen_success_Handle_ctr32_2 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Handle_ctr32_2 () =
(va_pbool_and (va_codegen_success_VPshufb (va_op_xmm_xmm 6) (va_op_xmm_xmm 1) (va_op_xmm_xmm 0))
(va_pbool_and (va_codegen_success_Load_one_lsb (va_op_xmm_xmm 5)) (va_pbool_and
(va_codegen_success_VPaddd (va_op_xmm_xmm 10) (va_op_xmm_xmm 6) (va_op_xmm_xmm 5))
(va_pbool_and (va_codegen_success_Load_two_lsb (va_op_xmm_xmm 5)) (va_pbool_and
(va_codegen_success_VPaddd (va_op_xmm_xmm 11) (va_op_xmm_xmm 6) (va_op_xmm_xmm 5))
(va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 12) (va_op_xmm_xmm 10) (va_op_xmm_xmm
5)) (va_pbool_and (va_codegen_success_VPshufb (va_op_xmm_xmm 10) (va_op_xmm_xmm 10)
(va_op_xmm_xmm 0)) (va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 13) (va_op_xmm_xmm
11) (va_op_xmm_xmm 5)) (va_pbool_and (va_codegen_success_VPshufb (va_op_xmm_xmm 11)
(va_op_xmm_xmm 11) (va_op_xmm_xmm 0)) (va_pbool_and (va_codegen_success_VPxor (va_op_xmm_xmm
10) (va_op_xmm_xmm 10) (va_op_opr128_xmm 4)) (va_pbool_and (va_codegen_success_VPaddd
(va_op_xmm_xmm 14) (va_op_xmm_xmm 12) (va_op_xmm_xmm 5)) (va_pbool_and
(va_codegen_success_VPshufb (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_xmm_xmm 0))
(va_pbool_and (va_codegen_success_VPxor (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_opr128_xmm
4)) (va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 1) (va_op_xmm_xmm 13)
(va_op_xmm_xmm 5)) (va_pbool_and (va_codegen_success_VPshufb (va_op_xmm_xmm 13) (va_op_xmm_xmm
13) (va_op_xmm_xmm 0)) (va_pbool_and (va_codegen_success_VPxor (va_op_xmm_xmm 12)
(va_op_xmm_xmm 12) (va_op_opr128_xmm 4)) (va_pbool_and (va_codegen_success_VPshufb
(va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_xmm_xmm 0)) (va_pbool_and
(va_codegen_success_VPxor (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_opr128_xmm 4))
(va_pbool_and (va_codegen_success_VPshufb (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm
0)) (va_pbool_and (va_codegen_success_VPxor (va_op_xmm_xmm 14) (va_op_xmm_xmm 14)
(va_op_opr128_xmm 4)) (va_ttrue ())))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Handle_ctr32_2 (va_mods:va_mods_t) (ctr_BE:quad32) : (va_quickCode unit
(va_code_Handle_ctr32_2 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 253 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 6) (va_op_xmm_xmm 1) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 258 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load_one_lsb (va_op_xmm_xmm 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 260 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 10) (va_op_xmm_xmm 6) (va_op_xmm_xmm 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 262 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load_two_lsb (va_op_xmm_xmm 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 263 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 11) (va_op_xmm_xmm 6) (va_op_xmm_xmm 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 265 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 12) (va_op_xmm_xmm 10) (va_op_xmm_xmm 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 266 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 267 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 13) (va_op_xmm_xmm 11) (va_op_xmm_xmm 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 268 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 269 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_opr128_xmm 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 14) (va_op_xmm_xmm 12) (va_op_xmm_xmm 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 271 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 272 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_opr128_xmm 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 273 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 1) (va_op_xmm_xmm 13) (va_op_xmm_xmm 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 274 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 275 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_opr128_xmm 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 276 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 277 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_opr128_xmm 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_opr128_xmm 4)) (va_QEmpty
(())))))))))))))))))))))))
val va_lemma_Handle_ctr32_2 : va_b0:va_code -> va_s0:va_state -> ctr_BE:quad32
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Handle_ctr32_2 ()) va_s0 /\ va_get_ok va_s0 /\
(avx_enabled /\ sse_enabled /\ va_get_xmm 0 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 ctr_BE)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(va_get_xmm 10 va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 1)) (va_get_xmm 4 va_sM) /\ va_get_xmm 11 va_sM ==
Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 2)) (va_get_xmm 4 va_sM) /\ va_get_xmm 12 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 3)) (va_get_xmm 4 va_sM)
/\ va_get_xmm 13 va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 4)) (va_get_xmm 4 va_sM) /\ va_get_xmm 14 va_sM ==
Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 5)) (va_get_xmm 4 va_sM) /\ va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 6)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_xmm
14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm
10 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1
va_sM (va_update_reg64 rR11 va_sM (va_update_ok va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Handle_ctr32_2 va_b0 va_s0 ctr_BE =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm
11; va_Mod_xmm 10; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_reg64 rR11;
va_Mod_ok] in
let va_qc = va_qcode_Handle_ctr32_2 va_mods ctr_BE in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Handle_ctr32_2 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ (label va_range1
"***** POSTCONDITION NOT MET AT line 246 column 77 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 10 va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 1)) (va_get_xmm 4 va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 247 column 77 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 11 va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 2)) (va_get_xmm 4 va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 248 column 77 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 12 va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 3)) (va_get_xmm 4 va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 249 column 77 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 13 va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 4)) (va_get_xmm 4 va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 250 column 77 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 14 va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 5)) (va_get_xmm 4 va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 251 column 72 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE
6)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11;
va_Mod_xmm 10; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_reg64 rR11;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Handle_ctr32_2 (ctr_BE:quad32) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ (avx_enabled /\ sse_enabled /\ va_get_xmm 0 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 ctr_BE) /\ (forall (va_x_r11:nat64) (va_x_xmm1:quad32)
(va_x_xmm2:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32) (va_x_xmm10:quad32)
(va_x_xmm11:quad32) (va_x_xmm12:quad32) (va_x_xmm13:quad32) (va_x_xmm14:quad32)
(va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_xmm 14 va_x_xmm14
(va_upd_xmm 13 va_x_xmm13 (va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10
va_x_xmm10 (va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 2 va_x_xmm2 (va_upd_xmm
1 va_x_xmm1 (va_upd_reg64 rR11 va_x_r11 va_s0)))))))))) in va_get_ok va_sM /\ (va_get_xmm 10
va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 1)) (va_get_xmm 4 va_sM) /\ va_get_xmm 11 va_sM ==
Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 2)) (va_get_xmm 4 va_sM) /\ va_get_xmm 12 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 3)) (va_get_xmm 4 va_sM)
/\ va_get_xmm 13 va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 4)) (va_get_xmm 4 va_sM) /\ va_get_xmm 14 va_sM ==
Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 5)) (va_get_xmm 4 va_sM) /\ va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 6)) ==> va_k va_sM (())))
val va_wpProof_Handle_ctr32_2 : ctr_BE: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_Handle_ctr32_2 ctr_BE va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Handle_ctr32_2 ()) ([va_Mod_flags;
va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 6;
va_Mod_xmm 5; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_reg64 rR11]) va_s0 va_k ((va_sM, va_f0,
va_g))))
[@"opaque_to_smt"]
let va_wpProof_Handle_ctr32_2 ctr_BE va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Handle_ctr32_2 (va_code_Handle_ctr32_2 ()) va_s0 ctr_BE in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM
(va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 6 va_sM
(va_update_xmm 5 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_reg64 rR11
va_sM (va_update_ok va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11;
va_Mod_xmm 10; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_reg64 rR11])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Handle_ctr32_2 (ctr_BE:quad32) : (va_quickCode unit (va_code_Handle_ctr32_2 ())) =
(va_QProc (va_code_Handle_ctr32_2 ()) ([va_Mod_flags; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm
12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 2; va_Mod_xmm 1;
va_Mod_reg64 rR11]) (va_wp_Handle_ctr32_2 ctr_BE) (va_wpProof_Handle_ctr32_2 ctr_BE))
//--
//-- Loop6x_decrypt
#push-options "--z3rlimit 300"
val va_code_Loop6x_decrypt : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Loop6x_decrypt alg =
(va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CCons (va_code_Loop6x_partial alg) (va_CCons (va_code_Loop6x_final alg)
(va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 6)) (va_CCons (va_IfElse
(va_cmp_gt (va_op_cmp_reg64 rRdx) (va_const_cmp 6)) (va_Block (va_CCons (va_code_Add64
(va_op_dst_opr64_reg64 rR14) (va_const_opr64 96)) (va_CNil ()))) (va_Block (va_CNil ())))
(va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_IfElse (va_cmp_gt
(va_op_cmp_reg64 rRdx) (va_const_cmp 0)) (va_Block (va_CCons (va_code_Loop6x_save_output ())
(va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 7)
(va_op_reg_opr64_reg64 rRbp) 32 Secret) (va_CCons (va_Block (va_CNil ())) (va_CNil ())))))
(va_Block (va_CCons (va_code_Mem128_lemma ()) (va_CCons (va_code_VPolyAdd (va_op_xmm_xmm 8)
(va_op_xmm_xmm 8) (va_opr_code_Mem128 (va_op_heaplet_mem_heaplet 3) (va_op_reg64_reg64 rRbp) 16
Secret)) (va_CCons (va_code_VPolyAdd (va_op_xmm_xmm 8) (va_op_xmm_xmm 8) (va_op_opr128_xmm 4))
(va_CNil ())))))) (va_CNil ()))))))))))))))
val va_codegen_success_Loop6x_decrypt : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Loop6x_decrypt alg =
(va_pbool_and (va_codegen_success_Loop6x_partial alg) (va_pbool_and
(va_codegen_success_Loop6x_final alg) (va_pbool_and (va_codegen_success_Sub64
(va_op_dst_opr64_reg64 rRdx) (va_const_opr64 6)) (va_pbool_and (va_codegen_success_Add64
(va_op_dst_opr64_reg64 rR14) (va_const_opr64 96)) (va_pbool_and (va_pbool_and
(va_codegen_success_Loop6x_save_output ()) (va_pbool_and (va_codegen_success_Load128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 7) (va_op_reg_opr64_reg64 rRbp) 32 Secret)
(va_pbool_and (va_codegen_success_Mem128_lemma ()) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_xmm_xmm 8) (va_op_xmm_xmm 8) (va_opr_code_Mem128 (va_op_heaplet_mem_heaplet 3)
(va_op_reg64_reg64 rRbp) 16 Secret)) (va_codegen_success_VPolyAdd (va_op_xmm_xmm 8)
(va_op_xmm_xmm 8) (va_op_opr128_xmm 4)))))) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Loop6x_decrypt (va_mods:va_mods_t) (alg:algorithm) (h_LE:quad32) (y_orig:quad32)
(y_prev:quad32) (count:nat) (iv_b:buffer128) (in0_b:buffer128) (in_b:buffer128) (out_b:buffer128)
(scratch_b:buffer128) (plain_quads:(seq quad32)) (key_words:(seq nat32)) (round_keys:(seq
quad32)) (keys_b:buffer128) (hkeys_b:buffer128) (ctr_BE_orig:quad32) (ctr_BE:quad32) :
(va_quickCode (quad32) (va_code_Loop6x_decrypt alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(prev:Vale.Math.Poly2_s.poly) = add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s))
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_s))) (Vale.Math.Poly2.Bits_s.of_quad32
(Vale.X64.Decls.buffer128_read scratch_b 1 (va_get_mem_heaplet 3 va_s))) in let
(y_prev:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 prev) in va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 449 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.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.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in0_b) (count
`op_Multiply` 6) (count `op_Multiply` 6 + 6)) (fun _ -> let (data:(FStar.Seq.Base.seq
Vale.X64.Decls.quad32)) = FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) in0_b) (count `op_Multiply` 6) (count `op_Multiply` 6 + 6) in
va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 450 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.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.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in_b) (count
`op_Multiply` 6) (count `op_Multiply` 6 + 6)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 450 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(FStar.Seq.Base.equal #Vale.X64.Decls.quad32 data (FStar.Seq.Base.slice #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in_b) (count `op_Multiply` 6) (count
`op_Multiply` 6 + 6))) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 451 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.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.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in_b) (count
`op_Multiply` 6) (count `op_Multiply` 6 + 6) /\ (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)))) quad32 plain_quads (count `op_Multiply` 6) (count
`op_Multiply` 6 + 6)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 451 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(FStar.Seq.Base.equal #Vale.X64.Decls.quad32 (FStar.Seq.Base.slice #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in_b) (count `op_Multiply` 6) (count
`op_Multiply` 6 + 6)) (FStar.Seq.Base.slice #quad32 plain_quads (count `op_Multiply` 6) (count
`op_Multiply` 6 + 6))) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 453 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Math.Poly2_s.degree (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s)) < 128)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 454 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Math.Poly2_s.degree (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_s)) < 128)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 455 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Math.Poly2_s.degree (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
scratch_b 1 (va_get_mem_heaplet 3 va_s))) < 128) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Math.Poly2_s.degree prev < 128) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 457 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 prev) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x_partial alg h_LE y_prev data count (va_if (va_get_reg64 rRdx va_s > 6) (fun _
-> count + 1) (fun _ -> count)) iv_b in0_b in_b scratch_b key_words round_keys keys_b hkeys_b
ctr_BE) (fun (va_s:va_state) (init:quad32_6) -> let (eventual_Xi:Vale.Math.Poly2_s.poly) = add
(add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s)) (Vale.Math.Poly2.Bits_s.of_quad32
(Vale.X64.Decls.buffer128_read scratch_b 1 (va_get_mem_heaplet 3 va_s))))
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_s)) in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 463 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(eventual_Xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GHash.ghash_incremental h_LE y_prev data))) (let (ctrs:(six_of
Vale.Def.Types_s.quad32)) = make_six_of #Vale.Def.Types_s.quad32 (fun (i:(va_int_range 0 5)) ->
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE i)) in let
(plains:(six_of Vale.X64.Decls.quad32)) = make_six_of #Vale.X64.Decls.quad32 (fun
(i:(va_int_range 0 5)) -> Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + i)
(va_get_mem_heaplet 6 va_s)) in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 468 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x_final alg iv_b scratch_b key_words round_keys keys_b (Vale.AES.GCTR.inc32lite
ctr_BE 6) init ctrs plains (Vale.X64.Decls.buffer128_read in0_b (va_if (va_get_reg64 rRdx va_s
> 6) (fun _ -> count + 1) (fun _ -> count) `op_Multiply` 6 + 0) (va_get_mem_heaplet 6 va_s)))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 471 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 6)) (fun (va_s:va_state) _ ->
va_QBind va_range1
"***** PRECONDITION NOT MET AT line 472 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_qIf va_mods (Cmp_gt (va_op_cmp_reg64 rRdx) (va_const_cmp 6)) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 474 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rR14) (va_const_opr64 96)) (va_QEmpty (())))) (qblock
va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> let
(y_new:quad32) = Vale.AES.GHash.ghash_incremental0 h_LE y_prev data in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 479 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.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)))) quad32
plain_quads 0 (count `op_Multiply` 6)) (fun _ -> let (va_arg104:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = data in let (va_arg103:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #quad32 plain_quads 0 (count `op_Multiply` 6)
in let (va_arg102:Vale.Def.Types_s.quad32) = y_new in let (va_arg101:Vale.Def.Types_s.quad32) =
y_orig in let (va_arg100:Vale.Def.Types_s.quad32) = h_LE in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 479 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GHash.lemma_ghash_incremental0_append va_arg100 va_arg101 y_prev
va_arg102 va_arg103 va_arg104) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 480 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.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)))) quad32
plain_quads 0 (count `op_Multiply` 6)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 480 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(y_new == Vale.AES.GHash.ghash_incremental0 h_LE y_orig (FStar.Seq.Base.append #quad32
(FStar.Seq.Base.slice #quad32 plain_quads 0 (count `op_Multiply` 6)) data)) (va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 481 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.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)))) quad32
plain_quads 0 (count `op_Multiply` 6) /\ (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)))) quad32 plain_quads 0 ((count + 1) `op_Multiply` 6))
(fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 481 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(FStar.Seq.Base.equal #quad32 (FStar.Seq.Base.append #quad32 (FStar.Seq.Base.slice #quad32
plain_quads 0 (count `op_Multiply` 6)) data) (FStar.Seq.Base.slice #quad32 plain_quads 0
((count + 1) `op_Multiply` 6))) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 483 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.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)))) quad32
plain_quads 0 ((count + 1) `op_Multiply` 6)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 483 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(y_new == Vale.AES.GHash.ghash_incremental0 h_LE y_orig (FStar.Seq.Base.slice #quad32
plain_quads 0 ((count + 1) `op_Multiply` 6))) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 486 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_qIf va_mods (Cmp_gt (va_op_cmp_reg64 rRdx) (va_const_cmp 0)) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 488 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x_save_output count out_b) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 492 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 7) (va_op_reg_opr64_reg64
rRbp) 32 Secret scratch_b 2) (fun (va_s:va_state) _ -> let (plain:(FStar.Seq.Base.seq
Vale.X64.Decls.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old_s) in_b in let
(cipher:(FStar.Seq.Base.seq Vale.X64.Decls.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_s) out_b in let (bound:(va_int_at_least 0)) = count `op_Multiply` 6 in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 497 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(bound >= 0 /\ bound <= 4294967295) (fun _ -> let (va_arg99:Vale.Def.Types_s.quad32) =
ctr_BE_orig in let (va_arg98:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = key_words in let
(va_arg97:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = cipher in let
(va_arg96:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old_s) out_b in let (va_arg95:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = plain_quads in let (va_arg94:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = plain_quads in let (va_arg93:Vale.Def.Types_s.nat32) = bound in let
(va_arg92:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 497 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_partial_opaque_ignores_postfix va_arg92 va_arg93 va_arg94
va_arg95 va_arg96 va_arg97 va_arg98 va_arg99) (let (va_arg91:Vale.Def.Types_s.quad32) =
ctr_BE_orig in let (va_arg90:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = key_words in let
(va_arg89:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = cipher in let
(va_arg88:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = plain_quads in let
(va_arg87:Prims.nat) = bound in let (va_arg86:Vale.AES.AES_common_s.algorithm) = alg in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 499 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_partial_extend6 va_arg86 va_arg87 va_arg88 va_arg89
va_arg90 va_arg91) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s) in let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(Vale.X64.Decls.buffer128_read scratch_b 1 (va_get_mem_heaplet 3 va_s)) in let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 501 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GHash.lemma_add_manip va_arg83 va_arg84 va_arg85) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 507 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(y_new == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GHash.ghash_incremental h_LE y_prev data))))) (va_QEmpty (())))))))))) (qblock
va_mods (fun (va_s:va_state) -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 511 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(eventual_Xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GHash.ghash_incremental h_LE y_prev data))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 512 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Mem128_lemma (va_op_heaplet_mem_heaplet 3) (va_op_reg64_reg64 rRbp) 16 Secret
scratch_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 512 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPolyAdd (va_op_xmm_xmm 8) (va_op_xmm_xmm 8) (va_opr_code_Mem128
(va_op_heaplet_mem_heaplet 3) (va_op_reg64_reg64 rRbp) 16 Secret)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 513 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPolyAdd (va_op_xmm_xmm 8) (va_op_xmm_xmm 8) (va_op_opr128_xmm 4)) (fun
(va_s:va_state) _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 514 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s) == Vale.Math.Poly2.Bits_s.of_quad32
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GHash.ghash_incremental h_LE y_prev data)))
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 515 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s)) ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2.Bits_s.of_quad32
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GHash.ghash_incremental h_LE y_prev data))))
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 516 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 8 va_s == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GHash.ghash_incremental
h_LE y_prev data)) (va_QEmpty (()))))))))))) (fun (va_s:va_state) va_g -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 518 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_registers_reveal ()) (va_QEmpty
((y_new)))))))))))))))))))))))))))))
val va_lemma_Loop6x_decrypt : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> h_LE:quad32 ->
y_orig:quad32 -> y_prev:quad32 -> count:nat -> iv_b:buffer128 -> in0_b:buffer128 ->
in_b:buffer128 -> out_b:buffer128 -> scratch_b:buffer128 -> plain_quads:(seq quad32) ->
key_words:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 ->
ctr_BE_orig:quad32 -> ctr_BE:quad32
-> Ghost (va_state & va_fuel & quad32)
(requires (va_require_total va_b0 (va_code_Loop6x_decrypt alg) va_s0 /\ va_get_ok va_s0 /\
(sse_enabled /\ movbe_enabled /\ va_get_reg64 rRdx va_s0 >= 6 /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_s0) (va_get_reg64 rR8 va_s0) iv_b 1
(va_get_mem_layout va_s0) Public /\ (va_get_reg64 rRdx va_s0 > 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rR14 va_s0)
in0_b ((count + 1) `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx
va_s0 == 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64
rR14 va_s0) in0_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret) /\
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi va_s0)
in_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
out_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0)
Secret /\ Vale.AES.GCTR.partial_seq_agreement plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) in_b) (count `op_Multiply` 6) (count `op_Multiply` 6 + 6) /\
(Vale.X64.Decls.buffers_disjoint128 in_b out_b \/ in_b == out_b) /\ in0_b == in_b /\
va_get_reg64 rRdi va_s0 + 96 < pow2_64 /\ va_get_reg64 rR14 va_s0 + 96 < pow2_64 /\
va_get_reg64 rRsi va_s0 + 96 < pow2_64 /\ aes_reqs_offset alg key_words round_keys keys_b
(va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ va_get_xmm
15 va_s0 == FStar.Seq.Base.index #quad32 round_keys 0 /\ pclmulqdq_enabled /\ h_LE ==
Vale.AES.AES_s.aes_encrypt_LE alg key_words (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0)
hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ scratch_reqs scratch_b count
(va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in0_b)
(va_get_xmm 7 va_s0) /\ y_prev == Vale.AES.GHash.ghash_incremental0 h_LE y_orig
(FStar.Seq.Base.slice #quad32 plain_quads 0 (count `op_Multiply` 6)) /\ y_prev ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s0))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
scratch_b 1 (va_get_mem_heaplet 3 va_s0))))) /\ count `op_Multiply` 6 + 6 < pow2_32 /\ ctr_BE
== Vale.AES.GCTR.inc32lite ctr_BE_orig (count `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 0) /\ va_get_reg64 rRbx
va_s0 == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_BE `op_Modulus` 256 /\ va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 0)) (va_get_xmm 15 va_s0) /\ (va_get_reg64 rRbx va_s0 + 6 < 256
==> va_get_xmm 10 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 1)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 2)) /\ (va_get_reg64 rRbx
va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 3)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13
va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 4)) /\
(va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 5)) /\
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` count) plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) out_b) key_words ctr_BE_orig)))
(ensures (fun (va_sM, va_fM, y_new) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM
/\ ((va_get_reg64 rRdx va_sM == 0 ==> va_get_mem_heaplet 6 va_sM == va_get_mem_heaplet 6 va_s0)
/\ Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 8 /\ Vale.X64.Decls.modifies_buffer_specific128 out_b
(va_get_mem_heaplet 6 va_s0) (va_get_mem_heaplet 6 va_sM) (count `op_Multiply` 6 + 0) (count
`op_Multiply` 6 + 5) /\ Vale.X64.Decls.modifies_buffer_specific128 iv_b (va_get_mem_heaplet 2
va_s0) (va_get_mem_heaplet 2 va_sM) 0 0 /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.AES.GCTR.partial_seq_agreement plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_sM) in_b) ((count + 1) `op_Multiply` 6) ((count + 1) `op_Multiply` 6)) /\ va_get_reg64 rRdx
va_sM == va_get_reg64 rRdx va_s0 - 6 /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 + 96
/\ va_get_reg64 rR14 va_sM == (if (va_get_reg64 rRdx va_sM > 6) then (va_get_reg64 rR14 va_s0 +
96) else va_get_reg64 rR14 va_s0) /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + 96 /\
va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 round_keys 0 /\ va_get_xmm 2 va_sM ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 6) /\ (va_get_reg64 rRbx
va_sM + 6 < 256 ==> va_get_xmm 0 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 7)) /\ (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 5
va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 8)) /\
(va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 6 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 9)) /\ (va_get_reg64 rRdx
va_sM == 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 7 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 10))) /\ (va_get_reg64
rRbx va_sM + 6 < 256 ==> va_get_xmm 3 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 11)) /\ va_get_reg64 rRbx va_sM ==
Vale.Def.Words_s.__proj__Mkfour__item__lo0 (Vale.AES.GCTR.inc32lite ctr_BE 6) `op_Modulus` 256
/\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM)
(va_get_xmm 10 va_sM) (va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM)
(va_get_xmm 14 va_sM) plain_quads alg key_words ctr_BE_orig count) /\ (va_get_reg64 rRdx va_sM
> 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 6)) (va_get_xmm 15
va_sM)) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 10 va_sM == va_get_xmm 0 va_sM) /\
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 11 va_sM == va_get_xmm 5 va_sM) /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_xmm 12 va_sM == va_get_xmm 6 va_sM) /\ (va_get_reg64 rRdx va_sM > 0
==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 10))) /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_xmm 14 va_sM == va_get_xmm 3 va_sM) /\ (va_get_reg64 rRdx va_sM > 0
==> Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 0) (va_get_mem_heaplet 6
va_sM) == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply`
6 + 0) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 0))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 1) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 1)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 1))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 2) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 2)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 2))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 3) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 3)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 3))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 4) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 4)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 4))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 5) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 5)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 5))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` (count + 1)) plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) out_b) key_words ctr_BE_orig) /\ y_new ==
Vale.AES.GHash.ghash_incremental0 h_LE y_orig (FStar.Seq.Base.slice #quad32 plain_quads 0
((count + 1) `op_Multiply` 6)) /\ (va_get_reg64 rRdx va_sM > 0 ==> y_new ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_sM))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
scratch_b 1 (va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8
va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_new) /\ (va_get_reg64 rRdx va_sM > 0 ==>
scratch_reqs scratch_b (count + 1) (va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) in0_b) (va_get_xmm 7 va_sM))) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2 va_sM
(va_update_mem_heaplet 6 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm
13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm
9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5
va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1
va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM
(va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM
(va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Loop6x_decrypt va_b0 va_s0 alg h_LE y_orig y_prev count iv_b in0_b in_b out_b
scratch_b plain_quads key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2;
va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm
11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14;
va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_Loop6x_decrypt va_mods alg h_LE y_orig y_prev count iv_b in0_b in_b out_b
scratch_b plain_quads key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Loop6x_decrypt alg) va_qc va_s0 (fun
va_s0 va_sM va_g -> let y_new = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 290 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ (label va_range1
"***** POSTCONDITION NOT MET AT line 388 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_mem_heaplet 6 va_sM == va_get_mem_heaplet 6 va_s0) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 389 column 72 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 8) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 390 column 94 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 out_b (va_get_mem_heaplet 6 va_s0)
(va_get_mem_heaplet 6 va_sM) (count `op_Multiply` 6 + 0) (count `op_Multiply` 6 + 5)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 391 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 iv_b (va_get_mem_heaplet 2 va_s0)
(va_get_mem_heaplet 2 va_sM) 0 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 392 column 100 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.partial_seq_agreement plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) in_b) ((count + 1) `op_Multiply` 6) ((count +
1) `op_Multiply` 6)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 397 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_s0 - 6) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 398 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 + 96) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 399 column 64 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rR14 va_sM == va_if (va_get_reg64 rRdx va_sM > 6) (fun _ -> va_get_reg64 rR14
va_s0 + 96) (fun _ -> va_get_reg64 rR14 va_s0)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 400 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + 96) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 402 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 round_keys 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 405 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 407 column 59 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE
6)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 408 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 0 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 7)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 409 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 5 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 8)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 410 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 6 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 9)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 411 column 94 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 7 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 10))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 412 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 3 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 11)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 414 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 (Vale.AES.GCTR.inc32lite
ctr_BE 6) `op_Modulus` 256) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 418 column 85 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm
10 va_sM) (va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14
va_sM) plain_quads alg key_words ctr_BE_orig count) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 420 column 93 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 6)) (va_get_xmm 15
va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 421 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 10 va_sM == va_get_xmm 0 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 422 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 11 va_sM == va_get_xmm 5 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 423 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 12 va_sM == va_get_xmm 6 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 424 column 98 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 10))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 425 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 14 va_sM == va_get_xmm 3 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 427 column 177 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 +
0) (va_get_mem_heaplet 6 va_sM) == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read
in_b (count `op_Multiply` 6 + 0) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE 0))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 428 column 177 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 +
1) (va_get_mem_heaplet 6 va_sM) == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read
in_b (count `op_Multiply` 6 + 1) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE 1))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 429 column 177 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 +
2) (va_get_mem_heaplet 6 va_sM) == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read
in_b (count `op_Multiply` 6 + 2) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE 2))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 430 column 177 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 +
3) (va_get_mem_heaplet 6 va_sM) == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read
in_b (count `op_Multiply` 6 + 3) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE 3))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 431 column 177 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 +
4) (va_get_mem_heaplet 6 va_sM) == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read
in_b (count `op_Multiply` 6 + 4) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE 4))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 432 column 177 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 +
5) (va_get_mem_heaplet 6 va_sM) == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read
in_b (count `op_Multiply` 6 + 5) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE 5))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 435 column 108 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` (count + 1))
plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out_b) key_words ctr_BE_orig) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 438 column 90 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(y_new == Vale.AES.GHash.ghash_incremental0 h_LE y_orig (FStar.Seq.Base.slice #quad32
plain_quads 0 ((count + 1) `op_Multiply` 6))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 440 column 103 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> y_new == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_sM)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read scratch_b 1
(va_get_mem_heaplet 3 va_sM)))))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 441 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
y_new) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 443 column 89 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs scratch_b (count + 1) (va_get_mem_heaplet 3
va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in0_b) (va_get_xmm 7 va_sM)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet
6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10;
va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm
3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_reg64
rRdi; va_Mod_ok; va_Mod_mem]) va_sM va_s0;
let y_new = va_g in
(va_sM, va_fM, y_new)
[@ va_qattr]
let va_wp_Loop6x_decrypt (alg:algorithm) (h_LE:quad32) (y_orig:quad32) (y_prev:quad32) (count:nat)
(iv_b:buffer128) (in0_b:buffer128) (in_b:buffer128) (out_b:buffer128) (scratch_b:buffer128)
(plain_quads:(seq quad32)) (key_words:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128)
(hkeys_b:buffer128) (ctr_BE_orig:quad32) (ctr_BE:quad32) (va_s0:va_state) (va_k:(va_state ->
quad32 -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ movbe_enabled /\ va_get_reg64 rRdx va_s0 >= 6 /\ va_get_xmm 2
va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_s0) (va_get_reg64 rR8 va_s0) iv_b 1
(va_get_mem_layout va_s0) Public /\ (va_get_reg64 rRdx va_s0 > 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rR14 va_s0)
in0_b ((count + 1) `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx
va_s0 == 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64
rR14 va_s0) in0_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret) /\
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi va_s0)
in_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
out_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0)
Secret /\ Vale.AES.GCTR.partial_seq_agreement plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) in_b) (count `op_Multiply` 6) (count `op_Multiply` 6 + 6) /\
(Vale.X64.Decls.buffers_disjoint128 in_b out_b \/ in_b == out_b) /\ in0_b == in_b /\
va_get_reg64 rRdi va_s0 + 96 < pow2_64 /\ va_get_reg64 rR14 va_s0 + 96 < pow2_64 /\
va_get_reg64 rRsi va_s0 + 96 < pow2_64 /\ aes_reqs_offset alg key_words round_keys keys_b
(va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ va_get_xmm
15 va_s0 == FStar.Seq.Base.index #quad32 round_keys 0 /\ pclmulqdq_enabled /\ h_LE ==
Vale.AES.AES_s.aes_encrypt_LE alg key_words (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0)
hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ scratch_reqs scratch_b count
(va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in0_b)
(va_get_xmm 7 va_s0) /\ y_prev == Vale.AES.GHash.ghash_incremental0 h_LE y_orig
(FStar.Seq.Base.slice #quad32 plain_quads 0 (count `op_Multiply` 6)) /\ y_prev ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s0))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
scratch_b 1 (va_get_mem_heaplet 3 va_s0))))) /\ count `op_Multiply` 6 + 6 < pow2_32 /\ ctr_BE
== Vale.AES.GCTR.inc32lite ctr_BE_orig (count `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 0) /\ va_get_reg64 rRbx
va_s0 == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_BE `op_Modulus` 256 /\ va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 0)) (va_get_xmm 15 va_s0) /\ (va_get_reg64 rRbx va_s0 + 6 < 256
==> va_get_xmm 10 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 1)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 2)) /\ (va_get_reg64 rRbx
va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 3)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13
va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 4)) /\
(va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 5)) /\
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` count) plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) out_b) key_words ctr_BE_orig) /\ (forall (va_x_mem:vale_heap)
(va_x_rdi:nat64) (va_x_rsi:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r11:nat64)
(va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_xmm0:quad32) (va_x_xmm1:quad32)
(va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32)
(va_x_xmm7:quad32) (va_x_xmm8:quad32) (va_x_xmm9:quad32) (va_x_xmm10:quad32)
(va_x_xmm11:quad32) (va_x_xmm12:quad32) (va_x_xmm13:quad32) (va_x_xmm14:quad32)
(va_x_xmm15:quad32) (va_x_heap6:vale_heap) (va_x_heap2:vale_heap) (va_x_heap3:vale_heap)
(va_x_efl:Vale.X64.Flags.t) (y_new:quad32) . let va_sM = va_upd_flags va_x_efl
(va_upd_mem_heaplet 3 va_x_heap3 (va_upd_mem_heaplet 2 va_x_heap2 (va_upd_mem_heaplet 6
va_x_heap6 (va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13 va_x_xmm13
(va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 9
va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5
va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 1
va_x_xmm1 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13
(va_upd_reg64 rR12 va_x_r12 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdi va_x_rdi (va_upd_mem
va_x_mem va_s0)))))))))))))))))))))))))))) in va_get_ok va_sM /\ ((va_get_reg64 rRdx va_sM == 0
==> va_get_mem_heaplet 6 va_sM == va_get_mem_heaplet 6 va_s0) /\
Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 8 /\ Vale.X64.Decls.modifies_buffer_specific128 out_b
(va_get_mem_heaplet 6 va_s0) (va_get_mem_heaplet 6 va_sM) (count `op_Multiply` 6 + 0) (count
`op_Multiply` 6 + 5) /\ Vale.X64.Decls.modifies_buffer_specific128 iv_b (va_get_mem_heaplet 2
va_s0) (va_get_mem_heaplet 2 va_sM) 0 0 /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.AES.GCTR.partial_seq_agreement plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_sM) in_b) ((count + 1) `op_Multiply` 6) ((count + 1) `op_Multiply` 6)) /\ va_get_reg64 rRdx
va_sM == va_get_reg64 rRdx va_s0 - 6 /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 + 96
/\ va_get_reg64 rR14 va_sM == va_if (va_get_reg64 rRdx va_sM > 6) (fun _ -> va_get_reg64 rR14
va_s0 + 96) (fun _ -> va_get_reg64 rR14 va_s0) /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi
va_s0 + 96 /\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 round_keys 0 /\ va_get_xmm 2
va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM
== Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 6) /\ (va_get_reg64
rRbx va_sM + 6 < 256 ==> va_get_xmm 0 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 7)) /\ (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 5
va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 8)) /\
(va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 6 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 9)) /\ (va_get_reg64 rRdx
va_sM == 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 7 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 10))) /\ (va_get_reg64
rRbx va_sM + 6 < 256 ==> va_get_xmm 3 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 11)) /\ va_get_reg64 rRbx va_sM ==
Vale.Def.Words_s.__proj__Mkfour__item__lo0 (Vale.AES.GCTR.inc32lite ctr_BE 6) `op_Modulus` 256
/\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM)
(va_get_xmm 10 va_sM) (va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM)
(va_get_xmm 14 va_sM) plain_quads alg key_words ctr_BE_orig count) /\ (va_get_reg64 rRdx va_sM
> 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 6)) (va_get_xmm 15
va_sM)) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 10 va_sM == va_get_xmm 0 va_sM) /\
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 11 va_sM == va_get_xmm 5 va_sM) /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_xmm 12 va_sM == va_get_xmm 6 va_sM) /\ (va_get_reg64 rRdx va_sM > 0
==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 10))) /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_xmm 14 va_sM == va_get_xmm 3 va_sM) /\ (va_get_reg64 rRdx va_sM > 0
==> Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 0) (va_get_mem_heaplet 6
va_sM) == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply`
6 + 0) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 0))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 1) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 1)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 1))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 2) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 2)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 2))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 3) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 3)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 3))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 4) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 4)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 4))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 5) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 5)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 5))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` (count + 1)) plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) out_b) key_words ctr_BE_orig) /\ y_new ==
Vale.AES.GHash.ghash_incremental0 h_LE y_orig (FStar.Seq.Base.slice #quad32 plain_quads 0
((count + 1) `op_Multiply` 6)) /\ (va_get_reg64 rRdx va_sM > 0 ==> y_new ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_sM))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
scratch_b 1 (va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8
va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_new) /\ (va_get_reg64 rRdx va_sM > 0 ==>
scratch_reqs scratch_b (count + 1) (va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) in0_b) (va_get_xmm 7 va_sM))) ==> va_k va_sM ((y_new))))
val va_wpProof_Loop6x_decrypt : alg:algorithm -> h_LE:quad32 -> y_orig:quad32 -> y_prev:quad32 ->
count:nat -> iv_b:buffer128 -> in0_b:buffer128 -> in_b:buffer128 -> out_b:buffer128 ->
scratch_b:buffer128 -> plain_quads:(seq quad32) -> key_words:(seq nat32) -> round_keys:(seq
quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 -> ctr_BE_orig:quad32 -> ctr_BE:quad32 ->
va_s0:va_state -> va_k:(va_state -> quad32 -> Type0)
-> Ghost (va_state & va_fuel & quad32)
(requires (va_t_require va_s0 /\ va_wp_Loop6x_decrypt alg h_LE y_orig y_prev count iv_b in0_b
in_b out_b scratch_b plain_quads key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE va_s0
va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Loop6x_decrypt alg) ([va_Mod_flags;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14;
va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8;
va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm
1; va_Mod_xmm 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11;
va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_mem]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Loop6x_decrypt alg h_LE y_orig y_prev count iv_b in0_b in_b out_b scratch_b
plain_quads key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE va_s0 va_k =
let (va_sM, va_f0, y_new) = va_lemma_Loop6x_decrypt (va_code_Loop6x_decrypt alg) va_s0 alg h_LE
y_orig y_prev count iv_b in0_b in_b out_b scratch_b plain_quads key_words round_keys keys_b
hkeys_b ctr_BE_orig ctr_BE in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 3 va_sM
(va_update_mem_heaplet 2 va_sM (va_update_mem_heaplet 6 va_sM (va_update_xmm 15 va_sM
(va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM
(va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM
(va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM
(va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR14
va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRsi va_sM
(va_update_reg64 rRdi va_sM (va_update_ok va_sM (va_update_mem va_sM
va_s0)))))))))))))))))))))))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet
6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10;
va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm
3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_reg64
rRdi; va_Mod_mem]) va_sM va_s0;
let va_g = (y_new) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Loop6x_decrypt (alg:algorithm) (h_LE:quad32) (y_orig:quad32) (y_prev:quad32)
(count:nat) (iv_b:buffer128) (in0_b:buffer128) (in_b:buffer128) (out_b:buffer128)
(scratch_b:buffer128) (plain_quads:(seq quad32)) (key_words:(seq nat32)) (round_keys:(seq
quad32)) (keys_b:buffer128) (hkeys_b:buffer128) (ctr_BE_orig:quad32) (ctr_BE:quad32) :
(va_quickCode quad32 (va_code_Loop6x_decrypt alg)) =
(va_QProc (va_code_Loop6x_decrypt alg) ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet
2; va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm
11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14;
va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_mem]) (va_wp_Loop6x_decrypt alg h_LE y_orig y_prev
count iv_b in0_b in_b out_b scratch_b plain_quads key_words round_keys keys_b hkeys_b
ctr_BE_orig ctr_BE) (va_wpProof_Loop6x_decrypt alg h_LE y_orig y_prev count iv_b in0_b in_b
out_b scratch_b plain_quads key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE))
#pop-options
//--
//-- Loop6x_loop_decrypt_body0
#push-options "--z3rlimit 700"
val va_code_Loop6x_loop_decrypt_body0 : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Loop6x_loop_decrypt_body0 alg =
(va_Block (va_CCons (va_code_Loop6x_decrypt alg) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))
val va_codegen_success_Loop6x_loop_decrypt_body0 : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Loop6x_loop_decrypt_body0 alg =
(va_pbool_and (va_codegen_success_Loop6x_decrypt alg) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Loop6x_loop_decrypt_body0 (va_mods:va_mods_t) (va_old:va_state) (alg:algorithm)
(va_in_ctr_BE_orig:quad32) (va_in_h_LE:quad32) (va_in_hkeys_b:buffer128) (va_in_in0_b:buffer128)
(va_in_in_b:buffer128) (va_in_iv_b:buffer128) (va_in_key_words:(seq nat32))
(va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32))
(va_in_round_keys:(seq quad32)) (va_in_scratch_b:buffer128) (va_in_y_orig:quad32)
(va_in_ctr:quad32) (va_in_iter:nat) (va_in_y_cur:quad32) : (va_quickCode (quad32 & nat & quad32)
(va_code_Loop6x_loop_decrypt_body0 alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(ctr_BE_orig:quad32) = va_in_ctr_BE_orig in let (h_LE:quad32) = va_in_h_LE in let
(hkeys_b:buffer128) = va_in_hkeys_b in let (in0_b:buffer128) = va_in_in0_b in let
(in_b:buffer128) = va_in_in_b in let (iv_b:buffer128) = va_in_iv_b in let (key_words:(seq
nat32)) = va_in_key_words in let (keys_b:buffer128) = va_in_keys_b in let (out_b:buffer128) =
va_in_out_b in let (plain_quads:(seq quad32)) = va_in_plain_quads in let (round_keys:(seq
quad32)) = va_in_round_keys in let (scratch_b:buffer128) = va_in_scratch_b in let
(y_orig:quad32) = va_in_y_orig in let (ctr:quad32) = va_in_ctr in let (iter:nat) = va_in_iter
in let (y_cur:quad32) = va_in_y_cur in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 733 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x_decrypt alg h_LE y_orig y_cur iter iv_b in0_b in_b out_b scratch_b plain_quads
key_words round_keys keys_b hkeys_b ctr_BE_orig ctr) (fun (va_s:va_state) (y_cur:quad32) ->
va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 735 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(iter + 1 >= 0) (fun _ -> let (iter:nat) = iter + 1 in let (ctr:quad32) = Vale.AES.GCTR_s.inc32
ctr 6 in va_QEmpty ((ctr, iter, y_cur))))))
val va_lemma_Loop6x_loop_decrypt_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
alg:algorithm -> va_in_ctr_BE_orig:quad32 -> va_in_h_LE:quad32 -> va_in_hkeys_b:buffer128 ->
va_in_in0_b:buffer128 -> va_in_in_b:buffer128 -> va_in_iv_b:buffer128 -> va_in_key_words:(seq
nat32) -> va_in_keys_b:buffer128 -> va_in_out_b:buffer128 -> va_in_plain_quads:(seq quad32) ->
va_in_round_keys:(seq quad32) -> va_in_scratch_b:buffer128 -> va_in_y_orig:quad32 ->
va_in_ctr:quad32 -> va_in_iter:nat -> va_in_y_cur:quad32
-> Ghost (va_state & va_fuel & quad32 & nat & quad32)
(requires (va_require_total va_b0 (va_code_Loop6x_loop_decrypt_body0 alg) va_s0 /\ va_get_ok
va_s0 /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_s0 == va_get_reg64 rRdx va_old
- 6 `op_Multiply` va_in_iter /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old + 96
`op_Multiply` va_in_iter /\ va_get_reg64 rRsi va_s0 == va_get_reg64 rRsi va_old + 96
`op_Multiply` va_in_iter /\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2
va_s0) (va_get_reg64 rR8 va_s0) va_in_iv_b 1 (va_get_mem_layout va_s0) Public /\ (va_get_reg64
rRdx va_s0 > 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b ((va_in_iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx
va_old - 6 `op_Multiply` (va_in_iter + 1)) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64
rRdx va_s0 == 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` va_in_iter) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0
==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi
va_s0) va_in_in_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply`
va_in_iter) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
va_in_out_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply`
va_in_iter) (va_get_mem_layout va_s0) Secret) /\ Vale.X64.Decls.validDstAddrs128
(va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0) va_in_scratch_b 9 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9
va_s0 - 32) va_in_hkeys_b 8 (va_get_mem_layout va_s0) Secret /\
(Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\
va_in_in0_b == va_in_in_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_s0) va_in_in_b) (6 `op_Multiply` va_in_iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_s0 >
0 ==> va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\
(va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rR14 va_s0 + 16 `op_Multiply` (va_get_reg64 rRdx
va_s0 - 6) < pow2_64) /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128
va_in_scratch_b (va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_s0) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) 0 (va_in_iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_s0 ==
0 ==> va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_s0) 0 (va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_s0) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0)
/\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_s0) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ (va_get_reg64 rRdx va_s0 > 0 ==> scratch_reqs va_in_scratch_b va_in_iter (va_get_mem_heaplet
3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in0_b) (va_get_xmm 7 va_s0))
/\ (va_in_iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==>
va_in_y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice
#quad32 va_in_plain_quads 0 (va_in_iter `op_Multiply` 6))) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
va_in_y_cur == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add
(add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s0))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
va_in_scratch_b 1 (va_get_mem_heaplet 3 va_s0)))))) /\ (va_get_reg64 rRdx va_s0 == 0 ==>
va_get_xmm 8 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 va_in_y_cur) /\ va_get_reg64 rRdx
va_s0 `op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ (6 <= va_get_reg64 rRdx
va_old /\ va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_iter `op_Multiply` 6 + 6 < pow2_32
/\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRdx va_s0 >= 6) /\ va_in_ctr ==
Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (va_in_iter `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 0) /\ va_get_reg64
rRbx va_s0 == va_in_ctr.lo0 `op_Modulus` 256 /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite va_in_ctr 0)) (va_get_xmm 15 va_s0)) /\ (va_get_reg64 rRdx va_s0 > 0
==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 10 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 1))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 2))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 3))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 4))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 5))) /\ (va_get_reg64
rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s0) (va_get_xmm 10 va_s0)
(va_get_xmm 11 va_s0) (va_get_xmm 12 va_s0) (va_get_xmm 13 va_s0) (va_get_xmm 14 va_s0)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_iter - 1)) /\ (va_get_reg64 rRdx
va_s0 > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_iter) va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_out_b) va_in_key_words
va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (va_in_iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_s0) va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ va_get_reg64 rRdx va_s0 > 0))
(ensures (fun (va_sM, va_fM, ctr, iter, y_cur) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_sM == va_get_reg64
rRdx va_old - 6 `op_Multiply` iter /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96
`op_Multiply` iter /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply`
iter /\ va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public /\ (va_get_reg64 rRdx va_sM > 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b ((iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` (iter +
1)) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM == 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRdi va_sM)
va_in_in_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRsi va_sM)
va_in_out_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3
va_sM) (va_get_reg64 rRbp va_sM) va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret /\
Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32)
va_in_hkeys_b 8 (va_get_mem_layout va_sM) Secret /\ (Vale.X64.Decls.buffers_disjoint128
va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ va_in_in0_b == va_in_in_b /\
FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old)
va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.partial_seq_agreement
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in_b) (6
`op_Multiply` iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64
rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64 rRdx va_sM >
0 ==> va_get_reg64 rR14 va_sM + 16 `op_Multiply` (va_get_reg64 rRdx va_sM - 6) < pow2_64) /\
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b
(va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_sM) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) 0 (iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_sM == 0 ==>
va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) 0 (va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)
/\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_sM) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ (va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b iter (va_get_mem_heaplet 3
va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\
(iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==> y_cur ==
Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice #quad32
va_in_plain_quads 0 (iter `op_Multiply` 6))) /\ (va_get_reg64 rRdx va_sM > 0 ==> y_cur ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_sM))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
va_in_scratch_b 1 (va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==>
va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ va_get_reg64 rRdx va_sM
`op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_sM < pow2_32 /\ (6 <= va_get_reg64 rRdx va_old /\
va_get_reg64 rRdx va_old + 6 < pow2_32) /\ iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_reg64 rRdx va_sM >= 6) /\ ctr == Vale.AES.GCTR.inc32lite
va_in_ctr_BE_orig (iter `op_Multiply` 6) /\ va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\ va_get_reg64 rRbx
va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256 /\ (va_get_reg64 rRdx
va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ (va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM
== Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ (va_get_reg64
rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ (va_get_reg64 rRdx
va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm 10 va_sM)
(va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14 va_sM)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (iter - 1)) /\ (va_get_reg64 rRdx va_sM
> 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` iter) va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b) va_in_key_words
va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ precedes_wrap (va_get_reg64 rRdx va_sM)
(va_get_reg64 rRdx va_s0) /\ va_state_eq va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM
(va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM
(va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM
(va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM
(va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx
va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM
(va_update_ok va_sM (va_update_mem va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet
3 va_sM (va_update_mem_heaplet 2 va_sM (va_update_flags va_sM
va_s0))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Loop6x_loop_decrypt_body0 va_b0 va_s0 va_old alg va_in_ctr_BE_orig va_in_h_LE
va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b
va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags] in
let va_qc = va_qcode_Loop6x_loop_decrypt_body0 va_mods va_old alg va_in_ctr_BE_orig va_in_h_LE
va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b
va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter
va_in_y_cur in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Loop6x_loop_decrypt_body0 alg) va_qc
va_s0 (fun va_s0 va_sM va_g -> let (ctr, iter, y_cur) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 521 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 653 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(sse_enabled /\ movbe_enabled) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 655 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_old - 6 `op_Multiply` iter) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 658 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96 `op_Multiply` iter) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 659 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 661 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 664 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 666 column 121 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rR14 va_sM) va_in_in0_b ((iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx
va_old - 6 `op_Multiply` (iter + 1)) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 669 column 114 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rR14 va_sM) va_in_in0_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` iter) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 671 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rRdi va_sM) va_in_in_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` iter) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 672 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rRsi va_sM) va_in_out_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` iter) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 674 column 74 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_sM) (va_get_reg64 rRbp va_sM)
va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 675 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32)
va_in_hkeys_b 8 (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 676 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 677 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_in0_b == va_in_in_b) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 679 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) va_in_in_b) >= 6) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 680 column 118 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in_b) (6 `op_Multiply` iter)
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) va_in_in_b))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 681 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 682 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rR14 va_sM + 16 `op_Multiply` (va_get_reg64 rRdx
va_sM - 6) < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 683 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 685 column 76 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b (va_get_mem_heaplet 3 va_old)
(va_get_mem_heaplet 3 va_sM) 1 8) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 686 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) 0 (iter `op_Multiply` 6 + 5)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 687 column 117 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_reg64 rRdx va_old >= 6 /\
Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) 0 (va_get_reg64 rRdx va_old - 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 688 column 74 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 691 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(aes_reqs_offset alg va_in_key_words va_in_round_keys va_in_keys_b (va_get_reg64 rRcx va_sM)
(va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 692 column 43 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 695 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
pclmulqdq_enabled /\ label va_range1
"***** POSTCONDITION NOT MET AT line 696 column 71 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 697 column 78 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_sM)
va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 698 column 85 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b iter (va_get_mem_heaplet 3 va_sM)
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 699 column 123 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==> y_cur ==
Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice #quad32
va_in_plain_quads 0 (iter `op_Multiply` 6))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 701 column 107 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_sM)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_sM)))))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 702 column 59 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
y_cur) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 705 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM `op_Modulus` 6 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 706 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 707 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(6 <= va_get_reg64 rRdx va_old /\ va_get_reg64 rRdx va_old + 6 < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 708 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(iter `op_Multiply` 6 + 6 < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 709 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdx va_sM >= 6) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 710 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (iter `op_Multiply` 6)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 711 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 712 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 713 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 715 column 94 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 717 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 718 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 719 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 720 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 721 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 724 column 90 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm
10 va_sM) (va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14
va_sM) va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (iter - 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 727 column 107 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` iter)
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 728 column 118 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` (iter - 1))
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 729 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(precedes_wrap (va_get_reg64 rRdx va_sM) (va_get_reg64 rRdx va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags]) va_sM va_s0;
let (ctr, iter, y_cur) = va_g in
(va_sM, va_fM, ctr, iter, y_cur)
[@ va_qattr]
let va_wp_Loop6x_loop_decrypt_body0 (va_old:va_state) (alg:algorithm) (va_in_ctr_BE_orig:quad32)
(va_in_h_LE:quad32) (va_in_hkeys_b:buffer128) (va_in_in0_b:buffer128) (va_in_in_b:buffer128)
(va_in_iv_b:buffer128) (va_in_key_words:(seq nat32)) (va_in_keys_b:buffer128)
(va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32)) (va_in_round_keys:(seq quad32))
(va_in_scratch_b:buffer128) (va_in_y_orig:quad32) (va_in_ctr:quad32) (va_in_iter:nat)
(va_in_y_cur:quad32) (va_s0:va_state) (va_k:(va_state -> (quad32 & nat & quad32) -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_s0 == va_get_reg64
rRdx va_old - 6 `op_Multiply` va_in_iter /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old
+ 96 `op_Multiply` va_in_iter /\ va_get_reg64 rRsi va_s0 == va_get_reg64 rRsi va_old + 96
`op_Multiply` va_in_iter /\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2
va_s0) (va_get_reg64 rR8 va_s0) va_in_iv_b 1 (va_get_mem_layout va_s0) Public /\ (va_get_reg64
rRdx va_s0 > 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b ((va_in_iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx
va_old - 6 `op_Multiply` (va_in_iter + 1)) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64
rRdx va_s0 == 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` va_in_iter) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0
==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi
va_s0) va_in_in_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply`
va_in_iter) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
va_in_out_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply`
va_in_iter) (va_get_mem_layout va_s0) Secret) /\ Vale.X64.Decls.validDstAddrs128
(va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0) va_in_scratch_b 9 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9
va_s0 - 32) va_in_hkeys_b 8 (va_get_mem_layout va_s0) Secret /\
(Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\
va_in_in0_b == va_in_in_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_s0) va_in_in_b) (6 `op_Multiply` va_in_iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_s0 >
0 ==> va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\
(va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rR14 va_s0 + 16 `op_Multiply` (va_get_reg64 rRdx
va_s0 - 6) < pow2_64) /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128
va_in_scratch_b (va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_s0) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) 0 (va_in_iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_s0 ==
0 ==> va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_s0) 0 (va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_s0) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0)
/\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_s0) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ (va_get_reg64 rRdx va_s0 > 0 ==> scratch_reqs va_in_scratch_b va_in_iter (va_get_mem_heaplet
3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in0_b) (va_get_xmm 7 va_s0))
/\ (va_in_iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==>
va_in_y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice
#quad32 va_in_plain_quads 0 (va_in_iter `op_Multiply` 6))) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
va_in_y_cur == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add
(add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s0))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
va_in_scratch_b 1 (va_get_mem_heaplet 3 va_s0)))))) /\ (va_get_reg64 rRdx va_s0 == 0 ==>
va_get_xmm 8 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 va_in_y_cur) /\ va_get_reg64 rRdx
va_s0 `op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ (6 <= va_get_reg64 rRdx
va_old /\ va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_iter `op_Multiply` 6 + 6 < pow2_32
/\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRdx va_s0 >= 6) /\ va_in_ctr ==
Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (va_in_iter `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 0) /\ va_get_reg64
rRbx va_s0 == va_in_ctr.lo0 `op_Modulus` 256 /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite va_in_ctr 0)) (va_get_xmm 15 va_s0)) /\ (va_get_reg64 rRdx va_s0 > 0
==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 10 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 1))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 2))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 3))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 4))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 5))) /\ (va_get_reg64
rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s0) (va_get_xmm 10 va_s0)
(va_get_xmm 11 va_s0) (va_get_xmm 12 va_s0) (va_get_xmm 13 va_s0) (va_get_xmm 14 va_s0)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_iter - 1)) /\ (va_get_reg64 rRdx
va_s0 > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_iter) va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_out_b) va_in_key_words
va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (va_in_iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_s0) va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ va_get_reg64 rRdx va_s0 > 0 /\
(forall (va_x_efl:Vale.X64.Flags.t) (va_x_heap2:vale_heap) (va_x_heap3:vale_heap)
(va_x_heap6:vale_heap) (va_x_mem:vale_heap) (va_x_ok:bool) (va_x_r11:nat64) (va_x_r12:nat64)
(va_x_r13:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rdi:nat64) (va_x_rdx:nat64)
(va_x_rsi:nat64) (va_x_xmm0:quad32) (va_x_xmm1:quad32) (va_x_xmm10:quad32) (va_x_xmm11:quad32)
(va_x_xmm12:quad32) (va_x_xmm13:quad32) (va_x_xmm14:quad32) (va_x_xmm15:quad32)
(va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32)
(va_x_xmm7:quad32) (va_x_xmm8:quad32) (va_x_xmm9:quad32) (ctr:quad32) (iter:nat) (y_cur:quad32)
. let va_sM = va_upd_xmm 9 va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7
(va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3
(va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13
va_x_xmm13 (va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10 va_x_xmm10
(va_upd_xmm 1 va_x_xmm1 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx
va_x_rdx (va_upd_reg64 rRdi va_x_rdi (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR12 va_x_r12 (va_upd_reg64 rR11 va_x_r11 (va_upd_ok
va_x_ok (va_upd_mem va_x_mem (va_upd_mem_heaplet 6 va_x_heap6 (va_upd_mem_heaplet 3 va_x_heap3
(va_upd_mem_heaplet 2 va_x_heap2 (va_upd_flags va_x_efl va_s0))))))))))))))))))))))))))))) in
va_get_ok va_sM /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_sM == va_get_reg64
rRdx va_old - 6 `op_Multiply` iter /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96
`op_Multiply` iter /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply`
iter /\ va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public /\ (va_get_reg64 rRdx va_sM > 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b ((iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` (iter +
1)) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM == 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRdi va_sM)
va_in_in_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRsi va_sM)
va_in_out_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3
va_sM) (va_get_reg64 rRbp va_sM) va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret /\
Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32)
va_in_hkeys_b 8 (va_get_mem_layout va_sM) Secret /\ (Vale.X64.Decls.buffers_disjoint128
va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ va_in_in0_b == va_in_in_b /\
FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old)
va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.partial_seq_agreement
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in_b) (6
`op_Multiply` iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64
rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64 rRdx va_sM >
0 ==> va_get_reg64 rR14 va_sM + 16 `op_Multiply` (va_get_reg64 rRdx va_sM - 6) < pow2_64) /\
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b
(va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_sM) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) 0 (iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_sM == 0 ==>
va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) 0 (va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)
/\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_sM) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ (va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b iter (va_get_mem_heaplet 3
va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\
(iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==> y_cur ==
Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice #quad32
va_in_plain_quads 0 (iter `op_Multiply` 6))) /\ (va_get_reg64 rRdx va_sM > 0 ==> y_cur ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_sM))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
va_in_scratch_b 1 (va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==>
va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ va_get_reg64 rRdx va_sM
`op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_sM < pow2_32 /\ (6 <= va_get_reg64 rRdx va_old /\
va_get_reg64 rRdx va_old + 6 < pow2_32) /\ iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_reg64 rRdx va_sM >= 6) /\ ctr == Vale.AES.GCTR.inc32lite
va_in_ctr_BE_orig (iter `op_Multiply` 6) /\ va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\ va_get_reg64 rRbx
va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256 /\ (va_get_reg64 rRdx
va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ (va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM
== Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ (va_get_reg64
rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ (va_get_reg64 rRdx
va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm 10 va_sM)
(va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14 va_sM)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (iter - 1)) /\ (va_get_reg64 rRdx va_sM
> 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` iter) va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b) va_in_key_words
va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ precedes_wrap (va_get_reg64 rRdx va_sM)
(va_get_reg64 rRdx va_s0) ==> va_k va_sM ((ctr, iter, y_cur))))
val va_wpProof_Loop6x_loop_decrypt_body0 : va_old:va_state -> alg:algorithm ->
va_in_ctr_BE_orig:quad32 -> va_in_h_LE:quad32 -> va_in_hkeys_b:buffer128 -> va_in_in0_b:buffer128
-> va_in_in_b:buffer128 -> va_in_iv_b:buffer128 -> va_in_key_words:(seq nat32) ->
va_in_keys_b:buffer128 -> va_in_out_b:buffer128 -> va_in_plain_quads:(seq quad32) ->
va_in_round_keys:(seq quad32) -> va_in_scratch_b:buffer128 -> va_in_y_orig:quad32 ->
va_in_ctr:quad32 -> va_in_iter:nat -> va_in_y_cur:quad32 -> va_s0:va_state -> va_k:(va_state ->
(quad32 & nat & quad32) -> Type0)
-> Ghost (va_state & va_fuel & (quad32 & nat & quad32))
(requires (va_t_require va_s0 /\ va_wp_Loop6x_loop_decrypt_body0 va_old alg va_in_ctr_BE_orig
va_in_h_LE va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b
va_in_out_b va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr
va_in_iter va_in_y_cur va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Loop6x_loop_decrypt_body0 alg)
([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4;
va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12;
va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx;
va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 3;
va_Mod_mem_heaplet 2; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Loop6x_loop_decrypt_body0 va_old alg va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b
va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur va_s0 va_k =
let (va_sM, va_f0, ctr, iter, y_cur) = va_lemma_Loop6x_loop_decrypt_body0
(va_code_Loop6x_loop_decrypt_body0 alg) va_s0 va_old alg va_in_ctr_BE_orig va_in_h_LE
va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b
va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter
va_in_y_cur in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM
(va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM
(va_update_xmm 2 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM
(va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 1 va_sM
(va_update_xmm 0 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRdi va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM
(va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_ok va_sM (va_update_mem
va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2
va_sM (va_update_flags va_sM va_s0)))))))))))))))))))))))))))))));
va_lemma_norm_mods ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags]) va_sM va_s0;
let va_g = (ctr, iter, y_cur) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Loop6x_loop_decrypt_body0 (va_old:va_state) (alg:algorithm) (va_in_ctr_BE_orig:quad32)
(va_in_h_LE:quad32) (va_in_hkeys_b:buffer128) (va_in_in0_b:buffer128) (va_in_in_b:buffer128)
(va_in_iv_b:buffer128) (va_in_key_words:(seq nat32)) (va_in_keys_b:buffer128)
(va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32)) (va_in_round_keys:(seq quad32))
(va_in_scratch_b:buffer128) (va_in_y_orig:quad32) (va_in_ctr:quad32) (va_in_iter:nat)
(va_in_y_cur:quad32) : (va_quickCode (quad32 & nat & quad32) (va_code_Loop6x_loop_decrypt_body0
alg)) =
(va_QProc (va_code_Loop6x_loop_decrypt_body0 alg) ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7;
va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm
14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0;
va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem;
va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags])
(va_wp_Loop6x_loop_decrypt_body0 va_old alg va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b
va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur)
(va_wpProof_Loop6x_loop_decrypt_body0 va_old alg va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b
va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur))
#pop-options
//--
//-- Loop6x_loop_decrypt_while0
#push-options "--z3rlimit 700"
val va_code_Loop6x_loop_decrypt_while0 : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Loop6x_loop_decrypt_while0 alg =
(va_Block (va_CCons (va_While (va_cmp_gt (va_op_cmp_reg64 rRdx) (va_const_cmp 0)) (va_Block
(va_CCons (va_code_Loop6x_loop_decrypt_body0 alg) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Loop6x_loop_decrypt_while0 : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Loop6x_loop_decrypt_while0 alg =
(va_pbool_and (va_codegen_success_Loop6x_loop_decrypt_body0 alg) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Loop6x_loop_decrypt_while0 (va_mods:va_mods_t) (va_old:va_state) (alg:algorithm)
(va_in_ctr_BE_orig:quad32) (va_in_h_LE:quad32) (va_in_hkeys_b:buffer128) (va_in_in0_b:buffer128)
(va_in_in_b:buffer128) (va_in_iv_b:buffer128) (va_in_key_words:(seq nat32))
(va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32))
(va_in_round_keys:(seq quad32)) (va_in_scratch_b:buffer128) (va_in_y_orig:quad32)
(va_in_ctr:quad32) (va_in_iter:nat) (va_in_y_cur:quad32) : (va_quickCode (quad32 & nat & quad32)
(va_code_Loop6x_loop_decrypt_while0 alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(ctr_BE_orig:quad32) = va_in_ctr_BE_orig in let (h_LE:quad32) = va_in_h_LE in let
(hkeys_b:buffer128) = va_in_hkeys_b in let (in0_b:buffer128) = va_in_in0_b in let
(in_b:buffer128) = va_in_in_b in let (iv_b:buffer128) = va_in_iv_b in let (key_words:(seq
nat32)) = va_in_key_words in let (keys_b:buffer128) = va_in_keys_b in let (out_b:buffer128) =
va_in_out_b in let (plain_quads:(seq quad32)) = va_in_plain_quads in let (round_keys:(seq
quad32)) = va_in_round_keys in let (scratch_b:buffer128) = va_in_scratch_b in let
(y_orig:quad32) = va_in_y_orig in let (ctr:quad32) = va_in_ctr in let (iter:nat) = va_in_iter
in let (y_cur:quad32) = va_in_y_cur in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 521 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_qWhile va_mods (Cmp_gt (va_op_cmp_reg64 rRdx) (va_const_cmp 0)) (fun va_g -> let
(ctr:quad32) = let (ctr, iter, y_cur) = va_g in ctr in let (iter:nat) = let (ctr, iter, y_cur)
= va_g in iter in let (y_cur:quad32) = let (ctr, iter, y_cur) = va_g in y_cur in qblock va_mods
(fun (va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 521 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x_loop_decrypt_body0 va_old alg ctr_BE_orig h_LE hkeys_b in0_b in_b iv_b
key_words keys_b out_b plain_quads round_keys scratch_b y_orig ctr iter y_cur) (fun
(va_s:va_state) va_g -> let (ctr, iter, y_cur) = va_g in va_QEmpty ((ctr, iter, y_cur))))) (fun
(va_s:va_state) va_g -> let (ctr:quad32) = let (ctr, iter, y_cur) = va_g in ctr in let
(iter:nat) = let (ctr, iter, y_cur) = va_g in iter in let (y_cur:quad32) = let (ctr, iter,
y_cur) = va_g in y_cur in va_get_ok va_s /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx
va_s == va_get_reg64 rRdx va_old - 6 `op_Multiply` iter /\ va_get_reg64 rRdi va_s ==
va_get_reg64 rRdi va_old + 96 `op_Multiply` iter /\ va_get_reg64 rRsi va_s == va_get_reg64 rRsi
va_old + 96 `op_Multiply` iter /\ va_get_xmm 2 va_s == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2
va_s) (va_get_reg64 rR8 va_s) iv_b 1 (va_get_mem_layout va_s) Public /\ (va_get_reg64 rRdx va_s
> 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s) (va_get_reg64 rR14
va_s) in0_b ((iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` (iter +
1)) (va_get_mem_layout va_s) Secret) /\ (va_get_reg64 rRdx va_s == 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s) (va_get_reg64 rR14 va_s)
in0_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_s) Secret) /\ (va_get_reg64 rRdx va_s > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s) (va_get_reg64 rRdi va_s) in_b
(iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter) (va_get_mem_layout
va_s) Secret) /\ (va_get_reg64 rRdx va_s > 0 ==> Vale.X64.Decls.validDstAddrsOffset128
(va_get_mem_heaplet 6 va_s) (va_get_reg64 rRsi va_s) out_b (iter `op_Multiply` 6) (va_get_reg64
rRdx va_old - 6 `op_Multiply` iter) (va_get_mem_layout va_s) Secret) /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s) (va_get_reg64 rRbp va_s) scratch_b
9 (va_get_mem_layout va_s) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0
va_s) (va_get_reg64 rR9 va_s - 32) hkeys_b 8 (va_get_mem_layout va_s) Secret /\
(Vale.X64.Decls.buffers_disjoint128 in_b out_b \/ in_b == out_b) /\ in0_b == in_b /\
FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old)
in_b) >= 6 /\ (va_get_reg64 rRdx va_s > 0 ==> Vale.AES.GCTR.partial_seq_agreement plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in_b) (6 `op_Multiply` iter)
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) in_b))) /\ (va_get_reg64 rRdx va_s > 0 ==> va_get_reg64 rRdi va_s + 16 `op_Multiply`
va_get_reg64 rRdx va_s < pow2_64) /\ (va_get_reg64 rRdx va_s > 0 ==> va_get_reg64 rR14 va_s +
16 `op_Multiply` (va_get_reg64 rRdx va_s - 6) < pow2_64) /\ (va_get_reg64 rRdx va_s > 0 ==>
va_get_reg64 rRsi va_s + 16 `op_Multiply` va_get_reg64 rRdx va_s < pow2_64) /\
Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_old)
(va_get_mem_heaplet 3 va_s) 1 8 /\ Vale.X64.Decls.modifies_buffer_specific128 out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_s) 0 (iter `op_Multiply` 6 + 5) /\
(va_get_reg64 rRdx va_s == 0 ==> va_get_reg64 rRdx va_old >= 6 /\
Vale.X64.Decls.buffer_modifies_specific128 out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s) 0 (va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_s) 0 0 /\ aes_reqs_offset alg key_words round_keys keys_b
(va_get_reg64 rRcx va_s) (va_get_mem_heaplet 0 va_s) (va_get_mem_layout va_s) /\ va_get_xmm 15
va_s == FStar.Seq.Base.index #quad32 round_keys 0 /\ pclmulqdq_enabled /\ h_LE ==
Vale.AES.AES_s.aes_encrypt_LE alg key_words (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s)
hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ (va_get_reg64 rRdx va_s > 0 ==>
scratch_reqs scratch_b iter (va_get_mem_heaplet 3 va_s) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) in0_b) (va_get_xmm 7 va_s)) /\ (iter `op_Multiply` 6 <=
FStar.Seq.Base.length #quad32 plain_quads ==> y_cur == Vale.AES.GHash.ghash_incremental0 h_LE
y_orig (FStar.Seq.Base.slice #quad32 plain_quads 0 (iter `op_Multiply` 6))) /\ (va_get_reg64
rRdx va_s > 0 ==> y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_s)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_s)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read scratch_b 1
(va_get_mem_heaplet 3 va_s)))))) /\ (va_get_reg64 rRdx va_s == 0 ==> va_get_xmm 8 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ va_get_reg64 rRdx va_s `op_Modulus` 6 == 0 /\
va_get_reg64 rRdx va_s < pow2_32 /\ (6 <= va_get_reg64 rRdx va_old /\ va_get_reg64 rRdx va_old
+ 6 < pow2_32) /\ iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64 rRdx va_s > 0 ==>
va_get_reg64 rRdx va_s >= 6) /\ ctr == Vale.AES.GCTR.inc32lite ctr_BE_orig (iter `op_Multiply`
6) /\ va_get_xmm 2 va_s == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
va_get_xmm 1 va_s == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\
va_get_reg64 rRbx va_s == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256 /\
(va_get_reg64 rRdx va_s > 0 ==> va_get_xmm 9 va_s == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_s))
/\ (va_get_reg64 rRdx va_s > 0 ==> (va_get_reg64 rRbx va_s + 6 < 256 ==> va_get_xmm 10 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ (va_get_reg64 rRdx
va_s > 0 ==> (va_get_reg64 rRbx va_s + 6 < 256 ==> va_get_xmm 11 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ (va_get_reg64 rRdx
va_s > 0 ==> (va_get_reg64 rRbx va_s + 6 < 256 ==> va_get_xmm 12 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ (va_get_reg64 rRdx
va_s > 0 ==> (va_get_reg64 rRbx va_s + 6 < 256 ==> va_get_xmm 13 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ (va_get_reg64 rRdx
va_s > 0 ==> (va_get_reg64 rRbx va_s + 6 < 256 ==> va_get_xmm 14 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ (va_get_reg64 rRdx
va_s == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s) (va_get_xmm 10 va_s) (va_get_xmm
11 va_s) (va_get_xmm 12 va_s) (va_get_xmm 13 va_s) (va_get_xmm 14 va_s) plain_quads alg
key_words ctr_BE_orig (iter - 1)) /\ (va_get_reg64 rRdx va_s > 0 ==> Vale.AES.GCTR.gctr_partial
alg (6 `op_Multiply` iter) plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b)
key_words ctr_BE_orig) /\ (va_get_reg64 rRdx va_s == 0 ==> Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (iter - 1)) plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b)
key_words ctr_BE_orig)) (fun (va_s:va_state) va_g -> let (ctr:quad32) = let (ctr, iter, y_cur)
= va_g in ctr in let (iter:nat) = let (ctr, iter, y_cur) = va_g in iter in let (y_cur:quad32) =
let (ctr, iter, y_cur) = va_g in y_cur in va_get_reg64 rRdx va_s) ((ctr, iter, y_cur))) (fun
(va_s:va_state) va_g -> let (ctr:quad32) = let (ctr, iter, y_cur) = va_g in ctr in let
(iter:nat) = let (ctr, iter, y_cur) = va_g in iter in let (y_cur:quad32) = let (ctr, iter,
y_cur) = va_g in y_cur in let va_g = (ctr, iter, y_cur) in let ((ctr:quad32), (iter:nat),
(y_cur:quad32)) = va_g in va_QEmpty ((ctr, iter, y_cur)))))
val va_lemma_Loop6x_loop_decrypt_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
alg:algorithm -> va_in_ctr_BE_orig:quad32 -> va_in_h_LE:quad32 -> va_in_hkeys_b:buffer128 ->
va_in_in0_b:buffer128 -> va_in_in_b:buffer128 -> va_in_iv_b:buffer128 -> va_in_key_words:(seq
nat32) -> va_in_keys_b:buffer128 -> va_in_out_b:buffer128 -> va_in_plain_quads:(seq quad32) ->
va_in_round_keys:(seq quad32) -> va_in_scratch_b:buffer128 -> va_in_y_orig:quad32 ->
va_in_ctr:quad32 -> va_in_iter:nat -> va_in_y_cur:quad32
-> Ghost (va_state & va_fuel & quad32 & nat & quad32)
(requires (va_require_total va_b0 (va_code_Loop6x_loop_decrypt_while0 alg) va_s0 /\ va_get_ok
va_s0 /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_s0 == va_get_reg64 rRdx va_old
- 6 `op_Multiply` va_in_iter /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old + 96
`op_Multiply` va_in_iter /\ va_get_reg64 rRsi va_s0 == va_get_reg64 rRsi va_old + 96
`op_Multiply` va_in_iter /\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2
va_s0) (va_get_reg64 rR8 va_s0) va_in_iv_b 1 (va_get_mem_layout va_s0) Public /\ (va_get_reg64
rRdx va_s0 > 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b ((va_in_iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx
va_old - 6 `op_Multiply` (va_in_iter + 1)) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64
rRdx va_s0 == 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` va_in_iter) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0
==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi
va_s0) va_in_in_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply`
va_in_iter) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
va_in_out_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply`
va_in_iter) (va_get_mem_layout va_s0) Secret) /\ Vale.X64.Decls.validDstAddrs128
(va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0) va_in_scratch_b 9 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9
va_s0 - 32) va_in_hkeys_b 8 (va_get_mem_layout va_s0) Secret /\
(Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\
va_in_in0_b == va_in_in_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_s0) va_in_in_b) (6 `op_Multiply` va_in_iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_s0 >
0 ==> va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\
(va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rR14 va_s0 + 16 `op_Multiply` (va_get_reg64 rRdx
va_s0 - 6) < pow2_64) /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128
va_in_scratch_b (va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_s0) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) 0 (va_in_iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_s0 ==
0 ==> va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_s0) 0 (va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_s0) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0)
/\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_s0) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ (va_get_reg64 rRdx va_s0 > 0 ==> scratch_reqs va_in_scratch_b va_in_iter (va_get_mem_heaplet
3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in0_b) (va_get_xmm 7 va_s0))
/\ (va_in_iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==>
va_in_y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice
#quad32 va_in_plain_quads 0 (va_in_iter `op_Multiply` 6))) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
va_in_y_cur == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add
(add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s0))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
va_in_scratch_b 1 (va_get_mem_heaplet 3 va_s0)))))) /\ (va_get_reg64 rRdx va_s0 == 0 ==>
va_get_xmm 8 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 va_in_y_cur) /\ va_get_reg64 rRdx
va_s0 `op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ (6 <= va_get_reg64 rRdx
va_old /\ va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_iter `op_Multiply` 6 + 6 < pow2_32
/\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRdx va_s0 >= 6) /\ va_in_ctr ==
Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (va_in_iter `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 0) /\ va_get_reg64
rRbx va_s0 == va_in_ctr.lo0 `op_Modulus` 256 /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite va_in_ctr 0)) (va_get_xmm 15 va_s0)) /\ (va_get_reg64 rRdx va_s0 > 0
==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 10 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 1))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 2))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 3))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 4))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 5))) /\ (va_get_reg64
rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s0) (va_get_xmm 10 va_s0)
(va_get_xmm 11 va_s0) (va_get_xmm 12 va_s0) (va_get_xmm 13 va_s0) (va_get_xmm 14 va_s0)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_iter - 1)) /\ (va_get_reg64 rRdx
va_s0 > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_iter) va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_out_b) va_in_key_words
va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (va_in_iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_s0) va_in_out_b) va_in_key_words va_in_ctr_BE_orig)))
(ensures (fun (va_sM, va_fM, ctr, iter, y_cur) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_sM == va_get_reg64
rRdx va_old - 6 `op_Multiply` iter /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96
`op_Multiply` iter /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply`
iter /\ va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public /\ (va_get_reg64 rRdx va_sM > 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b ((iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` (iter +
1)) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM == 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRdi va_sM)
va_in_in_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRsi va_sM)
va_in_out_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3
va_sM) (va_get_reg64 rRbp va_sM) va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret /\
Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32)
va_in_hkeys_b 8 (va_get_mem_layout va_sM) Secret /\ (Vale.X64.Decls.buffers_disjoint128
va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ va_in_in0_b == va_in_in_b /\
FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old)
va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.partial_seq_agreement
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in_b) (6
`op_Multiply` iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64
rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64 rRdx va_sM >
0 ==> va_get_reg64 rR14 va_sM + 16 `op_Multiply` (va_get_reg64 rRdx va_sM - 6) < pow2_64) /\
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b
(va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_sM) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) 0 (iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_sM == 0 ==>
va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) 0 (va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)
/\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_sM) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ (va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b iter (va_get_mem_heaplet 3
va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\
(iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==> y_cur ==
Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice #quad32
va_in_plain_quads 0 (iter `op_Multiply` 6))) /\ (va_get_reg64 rRdx va_sM > 0 ==> y_cur ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_sM))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
va_in_scratch_b 1 (va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==>
va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ va_get_reg64 rRdx va_sM
`op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_sM < pow2_32 /\ (6 <= va_get_reg64 rRdx va_old /\
va_get_reg64 rRdx va_old + 6 < pow2_32) /\ iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_reg64 rRdx va_sM >= 6) /\ ctr == Vale.AES.GCTR.inc32lite
va_in_ctr_BE_orig (iter `op_Multiply` 6) /\ va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\ va_get_reg64 rRbx
va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256 /\ (va_get_reg64 rRdx
va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ (va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM
== Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ (va_get_reg64
rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ (va_get_reg64 rRdx
va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm 10 va_sM)
(va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14 va_sM)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (iter - 1)) /\ (va_get_reg64 rRdx va_sM
> 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` iter) va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b) va_in_key_words
va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ ~(va_get_reg64 rRdx va_sM > 0) /\
va_state_eq va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM
(va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM
(va_update_xmm 2 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM
(va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 1 va_sM
(va_update_xmm 0 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRdi va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM
(va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_ok va_sM (va_update_mem
va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2
va_sM (va_update_flags va_sM va_s0))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Loop6x_loop_decrypt_while0 va_b0 va_s0 va_old alg va_in_ctr_BE_orig va_in_h_LE
va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b
va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags] in
let va_qc = va_qcode_Loop6x_loop_decrypt_while0 va_mods va_old alg va_in_ctr_BE_orig va_in_h_LE
va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b
va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter
va_in_y_cur in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Loop6x_loop_decrypt_while0 alg) va_qc
va_s0 (fun va_s0 va_sM va_g -> let (ctr, iter, y_cur) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 521 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 653 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(sse_enabled /\ movbe_enabled) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 655 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_old - 6 `op_Multiply` iter) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 658 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96 `op_Multiply` iter) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 659 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 661 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 664 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 666 column 121 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rR14 va_sM) va_in_in0_b ((iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx
va_old - 6 `op_Multiply` (iter + 1)) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 669 column 114 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rR14 va_sM) va_in_in0_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` iter) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 671 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rRdi va_sM) va_in_in_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` iter) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 672 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rRsi va_sM) va_in_out_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` iter) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 674 column 74 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_sM) (va_get_reg64 rRbp va_sM)
va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 675 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32)
va_in_hkeys_b 8 (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 676 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 677 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_in0_b == va_in_in_b) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 679 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) va_in_in_b) >= 6) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 680 column 118 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in_b) (6 `op_Multiply` iter)
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) va_in_in_b))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 681 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 682 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rR14 va_sM + 16 `op_Multiply` (va_get_reg64 rRdx
va_sM - 6) < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 683 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 685 column 76 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b (va_get_mem_heaplet 3 va_old)
(va_get_mem_heaplet 3 va_sM) 1 8) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 686 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) 0 (iter `op_Multiply` 6 + 5)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 687 column 117 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_reg64 rRdx va_old >= 6 /\
Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) 0 (va_get_reg64 rRdx va_old - 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 688 column 74 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 691 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(aes_reqs_offset alg va_in_key_words va_in_round_keys va_in_keys_b (va_get_reg64 rRcx va_sM)
(va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 692 column 43 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 695 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
pclmulqdq_enabled /\ label va_range1
"***** POSTCONDITION NOT MET AT line 696 column 71 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 697 column 78 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_sM)
va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 698 column 85 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b iter (va_get_mem_heaplet 3 va_sM)
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 699 column 123 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==> y_cur ==
Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice #quad32
va_in_plain_quads 0 (iter `op_Multiply` 6))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 701 column 107 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_sM)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_sM)))))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 702 column 59 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
y_cur) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 705 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM `op_Modulus` 6 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 706 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 707 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(6 <= va_get_reg64 rRdx va_old /\ va_get_reg64 rRdx va_old + 6 < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 708 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(iter `op_Multiply` 6 + 6 < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 709 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdx va_sM >= 6) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 710 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (iter `op_Multiply` 6)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 711 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 712 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 713 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 715 column 94 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 717 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 718 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 719 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 720 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 721 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 724 column 90 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm
10 va_sM) (va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14
va_sM) va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (iter - 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 727 column 107 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` iter)
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 728 column 118 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` (iter - 1))
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 521 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(~(va_get_reg64 rRdx va_sM > 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags]) va_sM va_s0;
let (ctr, iter, y_cur) = va_g in
(va_sM, va_fM, ctr, iter, y_cur)
[@ va_qattr]
let va_wp_Loop6x_loop_decrypt_while0 (va_old:va_state) (alg:algorithm) (va_in_ctr_BE_orig:quad32)
(va_in_h_LE:quad32) (va_in_hkeys_b:buffer128) (va_in_in0_b:buffer128) (va_in_in_b:buffer128)
(va_in_iv_b:buffer128) (va_in_key_words:(seq nat32)) (va_in_keys_b:buffer128)
(va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32)) (va_in_round_keys:(seq quad32))
(va_in_scratch_b:buffer128) (va_in_y_orig:quad32) (va_in_ctr:quad32) (va_in_iter:nat)
(va_in_y_cur:quad32) (va_s0:va_state) (va_k:(va_state -> (quad32 & nat & quad32) -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_s0 == va_get_reg64
rRdx va_old - 6 `op_Multiply` va_in_iter /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old
+ 96 `op_Multiply` va_in_iter /\ va_get_reg64 rRsi va_s0 == va_get_reg64 rRsi va_old + 96
`op_Multiply` va_in_iter /\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2
va_s0) (va_get_reg64 rR8 va_s0) va_in_iv_b 1 (va_get_mem_layout va_s0) Public /\ (va_get_reg64
rRdx va_s0 > 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b ((va_in_iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx
va_old - 6 `op_Multiply` (va_in_iter + 1)) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64
rRdx va_s0 == 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` va_in_iter) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0
==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi
va_s0) va_in_in_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply`
va_in_iter) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
va_in_out_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply`
va_in_iter) (va_get_mem_layout va_s0) Secret) /\ Vale.X64.Decls.validDstAddrs128
(va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0) va_in_scratch_b 9 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9
va_s0 - 32) va_in_hkeys_b 8 (va_get_mem_layout va_s0) Secret /\
(Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\
va_in_in0_b == va_in_in_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_s0) va_in_in_b) (6 `op_Multiply` va_in_iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_s0 >
0 ==> va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\
(va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rR14 va_s0 + 16 `op_Multiply` (va_get_reg64 rRdx
va_s0 - 6) < pow2_64) /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128
va_in_scratch_b (va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_s0) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) 0 (va_in_iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_s0 ==
0 ==> va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_s0) 0 (va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_s0) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0)
/\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_s0) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ (va_get_reg64 rRdx va_s0 > 0 ==> scratch_reqs va_in_scratch_b va_in_iter (va_get_mem_heaplet
3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in0_b) (va_get_xmm 7 va_s0))
/\ (va_in_iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==>
va_in_y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice
#quad32 va_in_plain_quads 0 (va_in_iter `op_Multiply` 6))) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
va_in_y_cur == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add
(add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s0))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
va_in_scratch_b 1 (va_get_mem_heaplet 3 va_s0)))))) /\ (va_get_reg64 rRdx va_s0 == 0 ==>
va_get_xmm 8 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 va_in_y_cur) /\ va_get_reg64 rRdx
va_s0 `op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ (6 <= va_get_reg64 rRdx
va_old /\ va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_iter `op_Multiply` 6 + 6 < pow2_32
/\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRdx va_s0 >= 6) /\ va_in_ctr ==
Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (va_in_iter `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 0) /\ va_get_reg64
rRbx va_s0 == va_in_ctr.lo0 `op_Modulus` 256 /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite va_in_ctr 0)) (va_get_xmm 15 va_s0)) /\ (va_get_reg64 rRdx va_s0 > 0
==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 10 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 1))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 2))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 3))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 4))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 5))) /\ (va_get_reg64
rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s0) (va_get_xmm 10 va_s0)
(va_get_xmm 11 va_s0) (va_get_xmm 12 va_s0) (va_get_xmm 13 va_s0) (va_get_xmm 14 va_s0)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_iter - 1)) /\ (va_get_reg64 rRdx
va_s0 > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_iter) va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_out_b) va_in_key_words
va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (va_in_iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_s0) va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ (forall (va_x_efl:Vale.X64.Flags.t)
(va_x_heap2:vale_heap) (va_x_heap3:vale_heap) (va_x_heap6:vale_heap) (va_x_mem:vale_heap)
(va_x_ok:bool) (va_x_r11:nat64) (va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64)
(va_x_rbx:nat64) (va_x_rdi:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (va_x_xmm0:quad32)
(va_x_xmm1:quad32) (va_x_xmm10:quad32) (va_x_xmm11:quad32) (va_x_xmm12:quad32)
(va_x_xmm13:quad32) (va_x_xmm14:quad32) (va_x_xmm15:quad32) (va_x_xmm2:quad32)
(va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32) (va_x_xmm7:quad32)
(va_x_xmm8:quad32) (va_x_xmm9:quad32) (ctr:quad32) (iter:nat) (y_cur:quad32) . let va_sM =
va_upd_xmm 9 va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6 va_x_xmm6
(va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2
(va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13 va_x_xmm13 (va_upd_xmm 12
va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 1 va_x_xmm1
(va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRdi va_x_rdi (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13
va_x_r13 (va_upd_reg64 rR12 va_x_r12 (va_upd_reg64 rR11 va_x_r11 (va_upd_ok va_x_ok (va_upd_mem
va_x_mem (va_upd_mem_heaplet 6 va_x_heap6 (va_upd_mem_heaplet 3 va_x_heap3 (va_upd_mem_heaplet
2 va_x_heap2 (va_upd_flags va_x_efl va_s0))))))))))))))))))))))))))))) in va_get_ok va_sM /\
(sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_old - 6
`op_Multiply` iter /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96 `op_Multiply`
iter /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter /\
va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public /\ (va_get_reg64 rRdx va_sM > 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b ((iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` (iter +
1)) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM == 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRdi va_sM)
va_in_in_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRsi va_sM)
va_in_out_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3
va_sM) (va_get_reg64 rRbp va_sM) va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret /\
Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32)
va_in_hkeys_b 8 (va_get_mem_layout va_sM) Secret /\ (Vale.X64.Decls.buffers_disjoint128
va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ va_in_in0_b == va_in_in_b /\
FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old)
va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.partial_seq_agreement
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in_b) (6
`op_Multiply` iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64
rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64 rRdx va_sM >
0 ==> va_get_reg64 rR14 va_sM + 16 `op_Multiply` (va_get_reg64 rRdx va_sM - 6) < pow2_64) /\
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b
(va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_sM) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) 0 (iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_sM == 0 ==>
va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) 0 (va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)
/\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_sM) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ (va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b iter (va_get_mem_heaplet 3
va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\
(iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==> y_cur ==
Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice #quad32
va_in_plain_quads 0 (iter `op_Multiply` 6))) /\ (va_get_reg64 rRdx va_sM > 0 ==> y_cur ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_sM))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
va_in_scratch_b 1 (va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==>
va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ va_get_reg64 rRdx va_sM
`op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_sM < pow2_32 /\ (6 <= va_get_reg64 rRdx va_old /\
va_get_reg64 rRdx va_old + 6 < pow2_32) /\ iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_reg64 rRdx va_sM >= 6) /\ ctr == Vale.AES.GCTR.inc32lite
va_in_ctr_BE_orig (iter `op_Multiply` 6) /\ va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\ va_get_reg64 rRbx
va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256 /\ (va_get_reg64 rRdx
va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ (va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM
== Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ (va_get_reg64
rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ (va_get_reg64 rRdx
va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm 10 va_sM)
(va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14 va_sM)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (iter - 1)) /\ (va_get_reg64 rRdx va_sM
> 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` iter) va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b) va_in_key_words
va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ ~(va_get_reg64 rRdx va_sM > 0) ==> va_k
va_sM ((ctr, iter, y_cur))))
val va_wpProof_Loop6x_loop_decrypt_while0 : va_old:va_state -> alg:algorithm ->
va_in_ctr_BE_orig:quad32 -> va_in_h_LE:quad32 -> va_in_hkeys_b:buffer128 -> va_in_in0_b:buffer128
-> va_in_in_b:buffer128 -> va_in_iv_b:buffer128 -> va_in_key_words:(seq nat32) ->
va_in_keys_b:buffer128 -> va_in_out_b:buffer128 -> va_in_plain_quads:(seq quad32) ->
va_in_round_keys:(seq quad32) -> va_in_scratch_b:buffer128 -> va_in_y_orig:quad32 ->
va_in_ctr:quad32 -> va_in_iter:nat -> va_in_y_cur:quad32 -> va_s0:va_state -> va_k:(va_state ->
(quad32 & nat & quad32) -> Type0)
-> Ghost (va_state & va_fuel & (quad32 & nat & quad32))
(requires (va_t_require va_s0 /\ va_wp_Loop6x_loop_decrypt_while0 va_old alg va_in_ctr_BE_orig
va_in_h_LE va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b
va_in_out_b va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr
va_in_iter va_in_y_cur va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Loop6x_loop_decrypt_while0 alg)
([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4;
va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12;
va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx;
va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 3;
va_Mod_mem_heaplet 2; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Loop6x_loop_decrypt_while0 va_old alg va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b
va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur va_s0 va_k =
let (va_sM, va_f0, ctr, iter, y_cur) = va_lemma_Loop6x_loop_decrypt_while0
(va_code_Loop6x_loop_decrypt_while0 alg) va_s0 va_old alg va_in_ctr_BE_orig va_in_h_LE
va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b
va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter
va_in_y_cur in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM
(va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM
(va_update_xmm 2 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM
(va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 1 va_sM
(va_update_xmm 0 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRdi va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM
(va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_ok va_sM (va_update_mem
va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2
va_sM (va_update_flags va_sM va_s0)))))))))))))))))))))))))))))));
va_lemma_norm_mods ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags]) va_sM va_s0;
let va_g = (ctr, iter, y_cur) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Loop6x_loop_decrypt_while0 (va_old:va_state) (alg:algorithm)
(va_in_ctr_BE_orig:quad32) (va_in_h_LE:quad32) (va_in_hkeys_b:buffer128) (va_in_in0_b:buffer128)
(va_in_in_b:buffer128) (va_in_iv_b:buffer128) (va_in_key_words:(seq nat32))
(va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32))
(va_in_round_keys:(seq quad32)) (va_in_scratch_b:buffer128) (va_in_y_orig:quad32)
(va_in_ctr:quad32) (va_in_iter:nat) (va_in_y_cur:quad32) : (va_quickCode (quad32 & nat & quad32)
(va_code_Loop6x_loop_decrypt_while0 alg)) =
(va_QProc (va_code_Loop6x_loop_decrypt_while0 alg) ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7;
va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm
14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0;
va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem;
va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags])
(va_wp_Loop6x_loop_decrypt_while0 va_old alg va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b
va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur)
(va_wpProof_Loop6x_loop_decrypt_while0 va_old alg va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b
va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur))
#pop-options
//--
//-- Loop6x_loop_decrypt
#push-options "--z3rlimit 700"
val va_code_Loop6x_loop_decrypt : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Loop6x_loop_decrypt alg =
(va_Block (va_CCons (va_IfElse (va_cmp_eq (va_op_cmp_reg64 rRdx) (va_const_cmp 6)) (va_Block
(va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR14) (va_const_opr64 96)) (va_CNil ())))
(va_Block (va_CNil ()))) (va_CCons (va_code_Loop6x_loop_decrypt_while0 alg) (va_CNil ()))))
val va_codegen_success_Loop6x_loop_decrypt : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Loop6x_loop_decrypt alg =
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR14) (va_const_opr64 96))
(va_pbool_and (va_codegen_success_Loop6x_loop_decrypt_while0 alg) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Loop6x_loop_decrypt (va_mods:va_mods_t) (alg:algorithm) (h_LE:quad32) (y_orig:quad32)
(y_prev:quad32) (iv_b:buffer128) (in0_b:buffer128) (in_b:buffer128) (out_b:buffer128)
(scratch_b:buffer128) (key_words:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128)
(hkeys_b:buffer128) (ctr_BE_orig:quad32) (ctr_BE:quad32) : (va_quickCode (quad32)
(va_code_Loop6x_loop_decrypt alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (iter:nat) = 0 in
let (ctr:quad32) = ctr_BE in let (y_cur:quad32) = y_prev in let (plain_quads:(seq quad32)) =
Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in_b in let (va_arg44:Vale.Def.Types_s.quad32)
= ctr_BE_orig in let (va_arg43:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = key_words in let
(va_arg42:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) out_b in let (va_arg41:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = plain_quads in let (va_arg40:Vale.AES.AES_common_s.algorithm) = alg
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 645 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_partial_opaque_init va_arg40 va_arg41 va_arg42 va_arg43
va_arg44) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 648 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_qIf va_mods (Cmp_eq (va_op_cmp_reg64 rRdx) (va_const_cmp 6)) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 649 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rR14) (va_const_opr64 96)) (va_QEmpty (())))) (qblock
va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 651 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x_loop_decrypt_while0 va_old_s alg ctr_BE_orig h_LE hkeys_b in0_b in_b iv_b
key_words keys_b out_b plain_quads round_keys scratch_b y_orig ctr iter y_cur) (fun
(va_s:va_state) va_g -> let (ctr, iter, y_cur) = va_g in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 738 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_registers_reveal ()) (let (y_new:quad32) = y_cur in
va_QEmpty ((y_new))))))))
val va_lemma_Loop6x_loop_decrypt : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> h_LE:quad32
-> y_orig:quad32 -> y_prev:quad32 -> iv_b:buffer128 -> in0_b:buffer128 -> in_b:buffer128 ->
out_b:buffer128 -> scratch_b:buffer128 -> key_words:(seq nat32) -> round_keys:(seq quad32) ->
keys_b:buffer128 -> hkeys_b:buffer128 -> ctr_BE_orig:quad32 -> ctr_BE:quad32
-> Ghost (va_state & va_fuel & quad32)
(requires (va_require_total va_b0 (va_code_Loop6x_loop_decrypt alg) va_s0 /\ va_get_ok va_s0 /\
(sse_enabled /\ movbe_enabled /\ (6 <= va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRdx va_s0 + 6 <
pow2_32) /\ va_get_reg64 rRdx va_s0 `op_Modulus` 6 == 0 /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_s0) (va_get_reg64 rR8 va_s0) iv_b 1
(va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_s0) (va_get_reg64 rR14 va_s0) in0_b 6 (va_get_reg64 rRdx va_s0 - 6) (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rRdi va_s0) in_b 0 (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
out_b 0 (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0)
Secret /\ (Vale.X64.Decls.buffers_disjoint128 in_b out_b \/ in_b == out_b) /\ in0_b == in_b /\
va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64
rR14 va_s0 + 16 `op_Multiply` (va_get_reg64 rRdx va_s0 - 6) < pow2_64 /\ va_get_reg64 rRsi
va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ aes_reqs_offset alg key_words
round_keys keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout
va_s0) /\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32 round_keys 0 /\ pclmulqdq_enabled
/\ h_LE == Vale.AES.AES_s.aes_encrypt_LE alg key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\
scratch_reqs scratch_b 0 (va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_s0) in0_b) (va_get_xmm 7 va_s0) /\ y_prev == y_orig /\ y_prev ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s0))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
scratch_b 1 (va_get_mem_heaplet 3 va_s0))))) /\ ctr_BE == Vale.AES.GCTR.inc32lite ctr_BE_orig 0
/\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
va_get_xmm 1 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 0)
/\ va_get_reg64 rRbx va_s0 == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_BE `op_Modulus`
256 /\ va_get_xmm 9 va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 0)) (va_get_xmm 15 va_s0) /\ (va_get_reg64 rRbx va_s0 + 6 < 256
==> va_get_xmm 10 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 1)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 2)) /\ (va_get_reg64 rRbx
va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 3)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13
va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 4)) /\
(va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 5)))))
(ensures (fun (va_sM, va_fM, y_new) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM
/\ (Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 8 /\ l_and (va_get_reg64 rRdx va_s0 - 1 > 0)
(Vale.X64.Decls.modifies_buffer_specific128 out_b (va_get_mem_heaplet 6 va_s0)
(va_get_mem_heaplet 6 va_sM) 0 (va_get_reg64 rRdx va_s0 - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 iv_b (va_get_mem_heaplet 2 va_s0)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 + 16
`op_Multiply` va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 +
16 `op_Multiply` va_get_reg64 rRdx va_s0 /\ l_and (va_get_reg64 rRdx va_s0 - 6 >= 0)
(Vale.AES.GCTR.gctr_partial alg (va_get_reg64 rRdx va_s0 - 6) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) in_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out_b)
key_words ctr_BE_orig) /\ va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 0) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6))) /\ va_get_xmm 10 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 1) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 1))) /\ va_get_xmm 11 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 2) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 2))) /\ va_get_xmm 12 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 3) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 3))) /\ va_get_xmm 13 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 4) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 4))) /\ va_get_xmm 14 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 5) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 5))) /\ y_new == Vale.AES.GHash.ghash_incremental0 h_LE y_orig
(FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0)
in_b) 0 (va_get_reg64 rRdx va_s0)) /\ va_get_xmm 8 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 y_new /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE (va_get_reg64 rRdx
va_s0))) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 3 va_sM
(va_update_mem_heaplet 2 va_sM (va_update_mem_heaplet 6 va_sM (va_update_xmm 15 va_sM
(va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM
(va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM
(va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM
(va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR14
va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRsi va_sM
(va_update_reg64 rRdi va_sM (va_update_ok va_sM (va_update_mem va_sM
va_s0))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Loop6x_loop_decrypt va_b0 va_s0 alg h_LE y_orig y_prev iv_b in0_b in_b out_b scratch_b
key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2;
va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm
11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14;
va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_Loop6x_loop_decrypt va_mods alg h_LE y_orig y_prev iv_b in0_b in_b out_b
scratch_b key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Loop6x_loop_decrypt alg) va_qc va_s0
(fun va_s0 va_sM va_g -> let y_new = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 521 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ (label va_range1
"***** POSTCONDITION NOT MET AT line 614 column 72 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 8) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 615 column 103 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(l_and (va_get_reg64 rRdx va_s0 - 1 > 0) (Vale.X64.Decls.modifies_buffer_specific128 out_b
(va_get_mem_heaplet 6 va_s0) (va_get_mem_heaplet 6 va_sM) 0 (va_get_reg64 rRdx va_s0 - 1))) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 616 column 67 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 iv_b (va_get_mem_heaplet 2 va_s0)
(va_get_mem_heaplet 2 va_sM) 0 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 621 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 622 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 625 column 135 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(l_and (va_get_reg64 rRdx va_s0 - 6 >= 0) (Vale.AES.GCTR.gctr_partial alg (va_get_reg64 rRdx
va_s0 - 6) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in_b) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) out_b) key_words ctr_BE_orig)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 627 column 149 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b
(va_get_reg64 rRdx va_s0 - 6 + 0) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (va_get_reg64 rRdx va_s0 - 6)))) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 628 column 153 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 10 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b
(va_get_reg64 rRdx va_s0 - 6 + 1) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (va_get_reg64 rRdx va_s0 - 6 + 1)))) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 629 column 153 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 11 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b
(va_get_reg64 rRdx va_s0 - 6 + 2) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (va_get_reg64 rRdx va_s0 - 6 + 2)))) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 630 column 153 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 12 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b
(va_get_reg64 rRdx va_s0 - 6 + 3) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (va_get_reg64 rRdx va_s0 - 6 + 3)))) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 631 column 153 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 13 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b
(va_get_reg64 rRdx va_s0 - 6 + 4) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (va_get_reg64 rRdx va_s0 - 6 + 4)))) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 632 column 153 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 14 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b
(va_get_reg64 rRdx va_s0 - 6 + 5) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (va_get_reg64 rRdx va_s0 - 6 + 5)))) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 635 column 89 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(y_new == Vale.AES.GHash.ghash_incremental0 h_LE y_orig (FStar.Seq.Base.slice
#Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in_b) 0 (va_get_reg64
rRdx va_s0))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 636 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_new) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 639 column 64 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE
(va_get_reg64 rRdx va_s0))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet
6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10;
va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm
3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_reg64
rRdi; va_Mod_ok; va_Mod_mem]) va_sM va_s0;
let y_new = va_g in
(va_sM, va_fM, y_new)
[@ va_qattr]
let va_wp_Loop6x_loop_decrypt (alg:algorithm) (h_LE:quad32) (y_orig:quad32) (y_prev:quad32)
(iv_b:buffer128) (in0_b:buffer128) (in_b:buffer128) (out_b:buffer128) (scratch_b:buffer128)
(key_words:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128)
(ctr_BE_orig:quad32) (ctr_BE:quad32) (va_s0:va_state) (va_k:(va_state -> quad32 -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ movbe_enabled /\ (6 <= va_get_reg64 rRdx va_s0 /\
va_get_reg64 rRdx va_s0 + 6 < pow2_32) /\ va_get_reg64 rRdx va_s0 `op_Modulus` 6 == 0 /\
va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_s0) (va_get_reg64 rR8 va_s0) iv_b 1
(va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_s0) (va_get_reg64 rR14 va_s0) in0_b 6 (va_get_reg64 rRdx va_s0 - 6) (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rRdi va_s0) in_b 0 (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
out_b 0 (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0)
Secret /\ (Vale.X64.Decls.buffers_disjoint128 in_b out_b \/ in_b == out_b) /\ in0_b == in_b /\
va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64
rR14 va_s0 + 16 `op_Multiply` (va_get_reg64 rRdx va_s0 - 6) < pow2_64 /\ va_get_reg64 rRsi
va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ aes_reqs_offset alg key_words
round_keys keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout
va_s0) /\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32 round_keys 0 /\ pclmulqdq_enabled
/\ h_LE == Vale.AES.AES_s.aes_encrypt_LE alg key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\
scratch_reqs scratch_b 0 (va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_s0) in0_b) (va_get_xmm 7 va_s0) /\ y_prev == y_orig /\ y_prev ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s0))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
scratch_b 1 (va_get_mem_heaplet 3 va_s0))))) /\ ctr_BE == Vale.AES.GCTR.inc32lite ctr_BE_orig 0
/\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
va_get_xmm 1 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 0)
/\ va_get_reg64 rRbx va_s0 == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_BE `op_Modulus`
256 /\ va_get_xmm 9 va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 0)) (va_get_xmm 15 va_s0) /\ (va_get_reg64 rRbx va_s0 + 6 < 256
==> va_get_xmm 10 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 1)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 2)) /\ (va_get_reg64 rRbx
va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 3)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13
va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 4)) /\
(va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 5))) /\ (forall
(va_x_mem:vale_heap) (va_x_rdi:nat64) (va_x_rsi:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64)
(va_x_r11:nat64) (va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_xmm0:quad32)
(va_x_xmm1:quad32) (va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32)
(va_x_xmm6:quad32) (va_x_xmm7:quad32) (va_x_xmm8:quad32) (va_x_xmm9:quad32) (va_x_xmm10:quad32)
(va_x_xmm11:quad32) (va_x_xmm12:quad32) (va_x_xmm13:quad32) (va_x_xmm14:quad32)
(va_x_xmm15:quad32) (va_x_heap6:vale_heap) (va_x_heap2:vale_heap) (va_x_heap3:vale_heap)
(va_x_efl:Vale.X64.Flags.t) (y_new:quad32) . let va_sM = va_upd_flags va_x_efl
(va_upd_mem_heaplet 3 va_x_heap3 (va_upd_mem_heaplet 2 va_x_heap2 (va_upd_mem_heaplet 6
va_x_heap6 (va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13 va_x_xmm13
(va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 9
va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5
va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 1
va_x_xmm1 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13
(va_upd_reg64 rR12 va_x_r12 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdi va_x_rdi (va_upd_mem
va_x_mem va_s0)))))))))))))))))))))))))))) in va_get_ok va_sM /\
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 8 /\ l_and (va_get_reg64 rRdx va_s0 - 1 > 0)
(Vale.X64.Decls.modifies_buffer_specific128 out_b (va_get_mem_heaplet 6 va_s0)
(va_get_mem_heaplet 6 va_sM) 0 (va_get_reg64 rRdx va_s0 - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 iv_b (va_get_mem_heaplet 2 va_s0)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 + 16
`op_Multiply` va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 +
16 `op_Multiply` va_get_reg64 rRdx va_s0 /\ l_and (va_get_reg64 rRdx va_s0 - 6 >= 0)
(Vale.AES.GCTR.gctr_partial alg (va_get_reg64 rRdx va_s0 - 6) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) in_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out_b)
key_words ctr_BE_orig) /\ va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 0) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6))) /\ va_get_xmm 10 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 1) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 1))) /\ va_get_xmm 11 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 2) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 2))) /\ va_get_xmm 12 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 3) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 3))) /\ va_get_xmm 13 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 4) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 4))) /\ va_get_xmm 14 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 5) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 5))) /\ y_new == Vale.AES.GHash.ghash_incremental0 h_LE y_orig
(FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0)
in_b) 0 (va_get_reg64 rRdx va_s0)) /\ va_get_xmm 8 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 y_new /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE (va_get_reg64 rRdx
va_s0))) ==> va_k va_sM ((y_new))))
val va_wpProof_Loop6x_loop_decrypt : alg:algorithm -> h_LE:quad32 -> y_orig:quad32 -> y_prev:quad32
-> iv_b:buffer128 -> in0_b:buffer128 -> in_b:buffer128 -> out_b:buffer128 -> scratch_b:buffer128
-> key_words:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 ->
ctr_BE_orig:quad32 -> ctr_BE:quad32 -> va_s0:va_state -> va_k:(va_state -> quad32 -> Type0)
-> Ghost (va_state & va_fuel & quad32)
(requires (va_t_require va_s0 /\ va_wp_Loop6x_loop_decrypt alg h_LE y_orig y_prev iv_b in0_b in_b
out_b scratch_b key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Loop6x_loop_decrypt alg)
([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 6; va_Mod_xmm
15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9;
va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm
2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi;
va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Loop6x_loop_decrypt alg h_LE y_orig y_prev iv_b in0_b in_b out_b scratch_b key_words
round_keys keys_b hkeys_b ctr_BE_orig ctr_BE va_s0 va_k =
let (va_sM, va_f0, y_new) = va_lemma_Loop6x_loop_decrypt (va_code_Loop6x_loop_decrypt alg) va_s0
alg h_LE y_orig y_prev iv_b in0_b in_b out_b scratch_b key_words round_keys keys_b hkeys_b
ctr_BE_orig ctr_BE in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 3 va_sM
(va_update_mem_heaplet 2 va_sM (va_update_mem_heaplet 6 va_sM (va_update_xmm 15 va_sM
(va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM
(va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM
(va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM
(va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR14
va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRsi va_sM
(va_update_reg64 rRdi va_sM (va_update_ok va_sM (va_update_mem va_sM
va_s0)))))))))))))))))))))))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet
6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10;
va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm
3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_reg64
rRdi; va_Mod_mem]) va_sM va_s0;
let va_g = (y_new) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Loop6x_loop_decrypt (alg:algorithm) (h_LE:quad32) (y_orig:quad32) (y_prev:quad32)
(iv_b:buffer128) (in0_b:buffer128) (in_b:buffer128) (out_b:buffer128) (scratch_b:buffer128)
(key_words:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128)
(ctr_BE_orig:quad32) (ctr_BE:quad32) : (va_quickCode quad32 (va_code_Loop6x_loop_decrypt alg)) =
(va_QProc (va_code_Loop6x_loop_decrypt alg) ([va_Mod_flags; va_Mod_mem_heaplet 3;
va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7;
va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm
0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64
rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_mem])
(va_wp_Loop6x_loop_decrypt alg h_LE y_orig y_prev iv_b in0_b in_b out_b scratch_b key_words
round_keys keys_b hkeys_b ctr_BE_orig ctr_BE) (va_wpProof_Loop6x_loop_decrypt alg h_LE y_orig
y_prev iv_b in0_b in_b out_b scratch_b key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE))
#pop-options
//--
//-- Loop6x_loop_body0
#push-options "--z3rlimit 750"
val va_code_Loop6x_loop_body0 : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Loop6x_loop_body0 alg =
(va_Block (va_CCons (va_code_Loop6x alg) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))
val va_codegen_success_Loop6x_loop_body0 : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Loop6x_loop_body0 alg =
(va_pbool_and (va_codegen_success_Loop6x alg) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Loop6x_loop_body0 (va_mods:va_mods_t) (va_old:va_state) (alg:algorithm)
(va_in_count:nat) (va_in_ctr_BE_orig:quad32) (va_in_h_LE:quad32) (va_in_hkeys_b:buffer128)
(va_in_in0_b:buffer128) (va_in_in_b:buffer128) (va_in_iv_b:buffer128) (va_in_key_words:(seq
nat32)) (va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32))
(va_in_round_keys:(seq quad32)) (va_in_scratch_b:buffer128) (va_in_y_orig:quad32)
(va_in_ctr:quad32) (va_in_iter:nat) (va_in_y_cur:quad32) : (va_quickCode (quad32 & nat & quad32)
(va_code_Loop6x_loop_body0 alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (count:nat) =
va_in_count in let (ctr_BE_orig:quad32) = va_in_ctr_BE_orig in let (h_LE:quad32) = va_in_h_LE
in let (hkeys_b:buffer128) = va_in_hkeys_b in let (in0_b:buffer128) = va_in_in0_b in let
(in_b:buffer128) = va_in_in_b in let (iv_b:buffer128) = va_in_iv_b in let (key_words:(seq
nat32)) = va_in_key_words in let (keys_b:buffer128) = va_in_keys_b in let (out_b:buffer128) =
va_in_out_b in let (plain_quads:(seq quad32)) = va_in_plain_quads in let (round_keys:(seq
quad32)) = va_in_round_keys in let (scratch_b:buffer128) = va_in_scratch_b in let
(y_orig:quad32) = va_in_y_orig in let (ctr:quad32) = va_in_ctr in let (iter:nat) = va_in_iter
in let (y_cur:quad32) = va_in_y_cur in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 959 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x alg h_LE y_orig y_cur (count + iter) iv_b in0_b in_b out_b scratch_b
plain_quads key_words round_keys keys_b hkeys_b ctr_BE_orig ctr) (fun (va_s:va_state)
(y_cur:quad32) -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 961 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(iter + 1 >= 0) (fun _ -> let (iter:nat) = iter + 1 in let (ctr:quad32) = Vale.AES.GCTR_s.inc32
ctr 6 in va_QEmpty ((ctr, iter, y_cur))))))
val va_lemma_Loop6x_loop_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
alg:algorithm -> va_in_count:nat -> va_in_ctr_BE_orig:quad32 -> va_in_h_LE:quad32 ->
va_in_hkeys_b:buffer128 -> va_in_in0_b:buffer128 -> va_in_in_b:buffer128 -> va_in_iv_b:buffer128
-> va_in_key_words:(seq nat32) -> va_in_keys_b:buffer128 -> va_in_out_b:buffer128 ->
va_in_plain_quads:(seq quad32) -> va_in_round_keys:(seq quad32) -> va_in_scratch_b:buffer128 ->
va_in_y_orig:quad32 -> va_in_ctr:quad32 -> va_in_iter:nat -> va_in_y_cur:quad32
-> Ghost (va_state & va_fuel & quad32 & nat & quad32)
(requires (va_require_total va_b0 (va_code_Loop6x_loop_body0 alg) va_s0 /\ va_get_ok va_s0 /\
(sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_s0 == va_get_reg64 rRdx va_old - 6
`op_Multiply` va_in_iter /\ va_get_reg64 rR14 va_s0 == va_get_reg64 rR14 va_old + 96
`op_Multiply` va_in_iter /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old + 96
`op_Multiply` va_in_iter /\ va_get_reg64 rRsi va_s0 == va_get_reg64 rRsi va_old + 96
`op_Multiply` va_in_iter /\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2
va_s0) (va_get_reg64 rR8 va_s0) va_in_iv_b 1 (va_get_mem_layout va_s0) Public /\ (va_get_reg64
rRdx va_s0 > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b ((va_in_count - 1) `op_Multiply` 6 + va_in_iter
`op_Multiply` 6) (va_get_reg64 rRdx va_old - va_in_iter `op_Multiply` 6) (va_get_mem_layout
va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi va_s0) va_in_in_b (va_in_count `op_Multiply` 6
+ va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - va_in_iter `op_Multiply` 6)
(va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
va_in_out_b (va_in_count `op_Multiply` 6 + va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - va_in_iter `op_Multiply` 6) (va_get_mem_layout va_s0) Secret) /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
va_in_scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) va_in_hkeys_b 8 (va_get_mem_layout
va_s0) Secret /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b ==
va_in_out_b) /\ va_in_in0_b == va_in_out_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_s0
> 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in_b) (6 `op_Multiply` va_in_count + 6 `op_Multiply`
va_in_iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64
rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\ (va_get_reg64 rRdx va_s0 >
0 ==> va_get_reg64 rR14 va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\
(va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx
va_s0 < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b
(va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_s0) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 +
va_in_iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_s0 == 0 ==> va_get_reg64 rRdx va_old
>= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 +
va_get_reg64 rRdx va_old - 1)) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b
(va_get_mem_heaplet 2 va_old) (va_get_mem_heaplet 2 va_s0) 0 0 /\ aes_reqs_offset alg
va_in_key_words va_in_round_keys va_in_keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0
va_s0) (va_get_mem_layout va_s0) /\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32
va_in_round_keys 0 /\ pclmulqdq_enabled /\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg
va_in_key_words (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) /\
Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) va_in_hkeys_b)
(Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE) /\ va_in_count + va_in_iter - 2 >= 0 /\
(va_get_reg64 rRdx va_s0 > 0 ==> scratch_reqs va_in_scratch_b (va_in_count + va_in_iter - 2)
(va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in0_b)
(va_get_xmm 7 va_s0)) /\ (va_get_reg64 rRdx va_s0 == 0 ==> scratch_reqs va_in_scratch_b
(va_in_count + va_in_iter - 2) (va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in0_b) (Vale.X64.Decls.buffer128_read va_in_scratch_b 2
(va_get_mem_heaplet 3 va_s0))) /\ va_in_y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE
va_in_y_orig (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in0_b) 0 ((va_in_count + va_in_iter - 2) `op_Multiply` 6))
/\ (va_get_reg64 rRdx va_s0 > 0 ==> va_in_y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_s0)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_s0)))))) /\ (va_get_reg64 rRdx va_s0 == 0 ==> va_get_xmm 8 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 va_in_y_cur) /\ 2 <= va_in_count /\ va_get_reg64 rRdx
va_s0 `op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ (6 <= va_get_reg64 rRdx
va_old /\ va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_count
`op_Multiply` 6 + va_in_iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64 rRdx va_s0 > 0 ==>
va_get_reg64 rRdx va_s0 >= 6) /\ va_in_ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (6
`op_Multiply` va_in_count + va_in_iter `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 0) /\ va_get_reg64
rRbx va_s0 == va_in_ctr.lo0 `op_Modulus` 256 /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite va_in_ctr 0)) (va_get_xmm 15 va_s0)) /\ (va_get_reg64 rRdx va_s0 > 0
==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 10 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 1))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 2))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 3))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 4))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 5))) /\ (va_get_reg64
rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s0) (va_get_xmm 10 va_s0)
(va_get_xmm 11 va_s0) (va_get_xmm 12 va_s0) (va_get_xmm 13 va_s0) (va_get_xmm 14 va_s0)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_count + va_in_iter - 1)) /\
(va_get_reg64 rRdx va_s0 > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` va_in_iter) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_s0 == 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count + 6 `op_Multiply` (va_in_iter - 1))
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ va_get_reg64 rRdx va_s0 > 0))
(ensures (fun (va_sM, va_fM, ctr, iter, y_cur) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_sM == va_get_reg64
rRdx va_old - 6 `op_Multiply` iter /\ va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_old + 96
`op_Multiply` iter /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96 `op_Multiply`
iter /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter /\
va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b ((va_in_count - 1) `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM >
0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRdi
va_sM) va_in_in_b (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM >
0 ==> Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRsi
va_sM) va_in_out_b (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_sM) (va_get_reg64 rRbp va_sM)
va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32) va_in_hkeys_b 8 (va_get_mem_layout
va_sM) Secret /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b ==
va_in_out_b) /\ va_in_in0_b == va_in_out_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_sM
> 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in_b) (6 `op_Multiply` va_in_count + 6 `op_Multiply` iter)
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdi va_sM + 16
`op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64 rRdx va_sM > 0 ==>
va_get_reg64 rR14 va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM <
pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b (va_get_mem_heaplet 3
va_old) (va_get_mem_heaplet 3 va_sM) 1 8 /\ Vale.X64.Decls.modifies_buffer_specific128
va_in_out_b (va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) (va_in_count
`op_Multiply` 6) (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx
va_sM == 0 ==> va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128
va_in_out_b (va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) (va_in_count
`op_Multiply` 6) (va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)
/\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_sM) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ va_in_count + iter - 2 >= 0 /\ (va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b
(va_in_count + iter - 2) (va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\ (va_get_reg64 rRdx va_sM == 0 ==> scratch_reqs
va_in_scratch_b (va_in_count + iter - 2) (va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in0_b) (Vale.X64.Decls.buffer128_read va_in_scratch_b 2
(va_get_mem_heaplet 3 va_sM))) /\ y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE
va_in_y_orig (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in0_b) 0 ((va_in_count + iter - 2) `op_Multiply` 6)) /\
(va_get_reg64 rRdx va_sM > 0 ==> y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_sM)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ 2 <= va_in_count /\ va_get_reg64 rRdx va_sM
`op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_sM < pow2_32 /\ (6 <= va_get_reg64 rRdx va_old /\
va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_count
`op_Multiply` 6 + iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64 rRdx va_sM > 0 ==>
va_get_reg64 rRdx va_sM >= 6) /\ ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (6
`op_Multiply` va_in_count + iter `op_Multiply` 6) /\ va_get_xmm 2 va_sM ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\ va_get_reg64 rRbx
va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256 /\ (va_get_reg64 rRdx
va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ (va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM
== Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ (va_get_reg64
rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ (va_get_reg64 rRdx
va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm 10 va_sM)
(va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14 va_sM)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_count + iter - 1)) /\
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` iter) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_sM == 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count + 6 `op_Multiply` (iter - 1))
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ precedes_wrap (va_get_reg64 rRdx va_sM) (va_get_reg64
rRdx va_s0) /\ va_state_eq va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7
va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3
va_sM (va_update_xmm 2 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13
va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 1
va_sM (va_update_xmm 0 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRdi va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM
(va_update_ok va_sM (va_update_mem va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet
3 va_sM (va_update_mem_heaplet 2 va_sM (va_update_flags va_sM
va_s0))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Loop6x_loop_body0 va_b0 va_s0 va_old alg va_in_count va_in_ctr_BE_orig va_in_h_LE
va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b
va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags] in
let va_qc = va_qcode_Loop6x_loop_body0 va_mods va_old alg va_in_count va_in_ctr_BE_orig
va_in_h_LE va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b
va_in_out_b va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr
va_in_iter va_in_y_cur in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Loop6x_loop_body0 alg) va_qc va_s0 (fun
va_s0 va_sM va_g -> let (ctr, iter, y_cur) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 742 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 878 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(sse_enabled /\ movbe_enabled) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 880 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_old - 6 `op_Multiply` iter) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 882 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_old + 96 `op_Multiply` iter) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 883 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96 `op_Multiply` iter) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 884 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 886 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 889 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 891 column 127 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rR14 va_sM) va_in_in0_b ((va_in_count - 1) `op_Multiply` 6 + iter
`op_Multiply` 6) (va_get_reg64 rRdx va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM)
Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 892 column 123 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rRdi va_sM) va_in_in_b (va_in_count `op_Multiply` 6 + iter `op_Multiply`
6) (va_get_reg64 rRdx va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 893 column 123 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rRsi va_sM) va_in_out_b (va_in_count `op_Multiply` 6 + iter `op_Multiply`
6) (va_get_reg64 rRdx va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 895 column 74 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_sM) (va_get_reg64 rRbp va_sM)
va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 896 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32)
va_in_hkeys_b 8 (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 897 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 898 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_in0_b == va_in_out_b) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 900 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) va_in_in_b) >= 6) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 901 column 128 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in_b) (6 `op_Multiply` va_in_count + 6
`op_Multiply` iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 902 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 903 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rR14 va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 904 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 906 column 76 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b (va_get_mem_heaplet 3 va_old)
(va_get_mem_heaplet 3 va_sM) 1 8) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 907 column 95 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 + iter
`op_Multiply` 6 + 5)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 908 column 131 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_reg64 rRdx va_old >= 6 /\
Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 +
va_get_reg64 rRdx va_old - 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 909 column 74 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 912 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(aes_reqs_offset alg va_in_key_words va_in_round_keys va_in_keys_b (va_get_reg64 rRcx va_sM)
(va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 913 column 43 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 916 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
pclmulqdq_enabled /\ label va_range1
"***** POSTCONDITION NOT MET AT line 917 column 71 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 918 column 78 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_sM)
va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 920 column 34 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_count + iter - 2 >= 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 921 column 103 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b (va_in_count + iter - 2)
(va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b)
(va_get_xmm 7 va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 922 column 137 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> scratch_reqs va_in_scratch_b (va_in_count + iter - 2)
(va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b)
(Vale.X64.Decls.buffer128_read va_in_scratch_b 2 (va_get_mem_heaplet 3 va_sM))) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 924 column 112 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice
#Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b) 0
((va_in_count + iter - 2) `op_Multiply` 6))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 926 column 107 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_sM)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_sM)))))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 927 column 59 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
y_cur) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 930 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(2 <= va_in_count) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 931 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM `op_Modulus` 6 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 932 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 933 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(6 <= va_get_reg64 rRdx va_old /\ va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 <
pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 934 column 43 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_count `op_Multiply` 6 + iter `op_Multiply` 6 + 6 < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 935 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdx va_sM >= 6) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 936 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (6 `op_Multiply` va_in_count + iter
`op_Multiply` 6)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 937 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 938 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 939 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 941 column 94 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 943 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 944 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 945 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 946 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 947 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 950 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm
10 va_sM) (va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14
va_sM) va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_count + iter - 1)) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 953 column 117 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` iter) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 954 column 128 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` (iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 955 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(precedes_wrap (va_get_reg64 rRdx va_sM) (va_get_reg64 rRdx va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags]) va_sM va_s0;
let (ctr, iter, y_cur) = va_g in
(va_sM, va_fM, ctr, iter, y_cur)
[@ va_qattr]
let va_wp_Loop6x_loop_body0 (va_old:va_state) (alg:algorithm) (va_in_count:nat)
(va_in_ctr_BE_orig:quad32) (va_in_h_LE:quad32) (va_in_hkeys_b:buffer128) (va_in_in0_b:buffer128)
(va_in_in_b:buffer128) (va_in_iv_b:buffer128) (va_in_key_words:(seq nat32))
(va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32))
(va_in_round_keys:(seq quad32)) (va_in_scratch_b:buffer128) (va_in_y_orig:quad32)
(va_in_ctr:quad32) (va_in_iter:nat) (va_in_y_cur:quad32) (va_s0:va_state) (va_k:(va_state ->
(quad32 & nat & quad32) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_s0 == va_get_reg64
rRdx va_old - 6 `op_Multiply` va_in_iter /\ va_get_reg64 rR14 va_s0 == va_get_reg64 rR14 va_old
+ 96 `op_Multiply` va_in_iter /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old + 96
`op_Multiply` va_in_iter /\ va_get_reg64 rRsi va_s0 == va_get_reg64 rRsi va_old + 96
`op_Multiply` va_in_iter /\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2
va_s0) (va_get_reg64 rR8 va_s0) va_in_iv_b 1 (va_get_mem_layout va_s0) Public /\ (va_get_reg64
rRdx va_s0 > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b ((va_in_count - 1) `op_Multiply` 6 + va_in_iter
`op_Multiply` 6) (va_get_reg64 rRdx va_old - va_in_iter `op_Multiply` 6) (va_get_mem_layout
va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi va_s0) va_in_in_b (va_in_count `op_Multiply` 6
+ va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - va_in_iter `op_Multiply` 6)
(va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
va_in_out_b (va_in_count `op_Multiply` 6 + va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - va_in_iter `op_Multiply` 6) (va_get_mem_layout va_s0) Secret) /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
va_in_scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) va_in_hkeys_b 8 (va_get_mem_layout
va_s0) Secret /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b ==
va_in_out_b) /\ va_in_in0_b == va_in_out_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_s0
> 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in_b) (6 `op_Multiply` va_in_count + 6 `op_Multiply`
va_in_iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64
rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\ (va_get_reg64 rRdx va_s0 >
0 ==> va_get_reg64 rR14 va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\
(va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx
va_s0 < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b
(va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_s0) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 +
va_in_iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_s0 == 0 ==> va_get_reg64 rRdx va_old
>= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 +
va_get_reg64 rRdx va_old - 1)) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b
(va_get_mem_heaplet 2 va_old) (va_get_mem_heaplet 2 va_s0) 0 0 /\ aes_reqs_offset alg
va_in_key_words va_in_round_keys va_in_keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0
va_s0) (va_get_mem_layout va_s0) /\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32
va_in_round_keys 0 /\ pclmulqdq_enabled /\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg
va_in_key_words (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) /\
Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) va_in_hkeys_b)
(Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE) /\ va_in_count + va_in_iter - 2 >= 0 /\
(va_get_reg64 rRdx va_s0 > 0 ==> scratch_reqs va_in_scratch_b (va_in_count + va_in_iter - 2)
(va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in0_b)
(va_get_xmm 7 va_s0)) /\ (va_get_reg64 rRdx va_s0 == 0 ==> scratch_reqs va_in_scratch_b
(va_in_count + va_in_iter - 2) (va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in0_b) (Vale.X64.Decls.buffer128_read va_in_scratch_b 2
(va_get_mem_heaplet 3 va_s0))) /\ va_in_y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE
va_in_y_orig (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in0_b) 0 ((va_in_count + va_in_iter - 2) `op_Multiply` 6))
/\ (va_get_reg64 rRdx va_s0 > 0 ==> va_in_y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_s0)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_s0)))))) /\ (va_get_reg64 rRdx va_s0 == 0 ==> va_get_xmm 8 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 va_in_y_cur) /\ 2 <= va_in_count /\ va_get_reg64 rRdx
va_s0 `op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ (6 <= va_get_reg64 rRdx
va_old /\ va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_count
`op_Multiply` 6 + va_in_iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64 rRdx va_s0 > 0 ==>
va_get_reg64 rRdx va_s0 >= 6) /\ va_in_ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (6
`op_Multiply` va_in_count + va_in_iter `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 0) /\ va_get_reg64
rRbx va_s0 == va_in_ctr.lo0 `op_Modulus` 256 /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite va_in_ctr 0)) (va_get_xmm 15 va_s0)) /\ (va_get_reg64 rRdx va_s0 > 0
==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 10 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 1))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 2))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 3))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 4))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 5))) /\ (va_get_reg64
rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s0) (va_get_xmm 10 va_s0)
(va_get_xmm 11 va_s0) (va_get_xmm 12 va_s0) (va_get_xmm 13 va_s0) (va_get_xmm 14 va_s0)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_count + va_in_iter - 1)) /\
(va_get_reg64 rRdx va_s0 > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` va_in_iter) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_s0 == 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count + 6 `op_Multiply` (va_in_iter - 1))
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ va_get_reg64 rRdx va_s0 > 0 /\ (forall
(va_x_efl:Vale.X64.Flags.t) (va_x_heap2:vale_heap) (va_x_heap3:vale_heap)
(va_x_heap6:vale_heap) (va_x_mem:vale_heap) (va_x_ok:bool) (va_x_r11:nat64) (va_x_r12:nat64)
(va_x_r13:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rdi:nat64) (va_x_rdx:nat64)
(va_x_rsi:nat64) (va_x_xmm0:quad32) (va_x_xmm1:quad32) (va_x_xmm10:quad32) (va_x_xmm11:quad32)
(va_x_xmm12:quad32) (va_x_xmm13:quad32) (va_x_xmm14:quad32) (va_x_xmm15:quad32)
(va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32)
(va_x_xmm7:quad32) (va_x_xmm8:quad32) (va_x_xmm9:quad32) (ctr:quad32) (iter:nat) (y_cur:quad32)
. let va_sM = va_upd_xmm 9 va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7
(va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3
(va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13
va_x_xmm13 (va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10 va_x_xmm10
(va_upd_xmm 1 va_x_xmm1 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx
va_x_rdx (va_upd_reg64 rRdi va_x_rdi (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR12 va_x_r12 (va_upd_reg64 rR11 va_x_r11 (va_upd_ok
va_x_ok (va_upd_mem va_x_mem (va_upd_mem_heaplet 6 va_x_heap6 (va_upd_mem_heaplet 3 va_x_heap3
(va_upd_mem_heaplet 2 va_x_heap2 (va_upd_flags va_x_efl va_s0))))))))))))))))))))))))))))) in
va_get_ok va_sM /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_sM == va_get_reg64
rRdx va_old - 6 `op_Multiply` iter /\ va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_old + 96
`op_Multiply` iter /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96 `op_Multiply`
iter /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter /\
va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b ((va_in_count - 1) `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM >
0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRdi
va_sM) va_in_in_b (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM >
0 ==> Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRsi
va_sM) va_in_out_b (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_sM) (va_get_reg64 rRbp va_sM)
va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32) va_in_hkeys_b 8 (va_get_mem_layout
va_sM) Secret /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b ==
va_in_out_b) /\ va_in_in0_b == va_in_out_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_sM
> 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in_b) (6 `op_Multiply` va_in_count + 6 `op_Multiply` iter)
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdi va_sM + 16
`op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64 rRdx va_sM > 0 ==>
va_get_reg64 rR14 va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM <
pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b (va_get_mem_heaplet 3
va_old) (va_get_mem_heaplet 3 va_sM) 1 8 /\ Vale.X64.Decls.modifies_buffer_specific128
va_in_out_b (va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) (va_in_count
`op_Multiply` 6) (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx
va_sM == 0 ==> va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128
va_in_out_b (va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) (va_in_count
`op_Multiply` 6) (va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)
/\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_sM) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ va_in_count + iter - 2 >= 0 /\ (va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b
(va_in_count + iter - 2) (va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\ (va_get_reg64 rRdx va_sM == 0 ==> scratch_reqs
va_in_scratch_b (va_in_count + iter - 2) (va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in0_b) (Vale.X64.Decls.buffer128_read va_in_scratch_b 2
(va_get_mem_heaplet 3 va_sM))) /\ y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE
va_in_y_orig (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in0_b) 0 ((va_in_count + iter - 2) `op_Multiply` 6)) /\
(va_get_reg64 rRdx va_sM > 0 ==> y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_sM)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ 2 <= va_in_count /\ va_get_reg64 rRdx va_sM
`op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_sM < pow2_32 /\ (6 <= va_get_reg64 rRdx va_old /\
va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_count
`op_Multiply` 6 + iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64 rRdx va_sM > 0 ==>
va_get_reg64 rRdx va_sM >= 6) /\ ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (6
`op_Multiply` va_in_count + iter `op_Multiply` 6) /\ va_get_xmm 2 va_sM ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\ va_get_reg64 rRbx
va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256 /\ (va_get_reg64 rRdx
va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ (va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM
== Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ (va_get_reg64
rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ (va_get_reg64 rRdx
va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm 10 va_sM)
(va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14 va_sM)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_count + iter - 1)) /\
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` iter) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_sM == 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count + 6 `op_Multiply` (iter - 1))
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ precedes_wrap (va_get_reg64 rRdx va_sM) (va_get_reg64
rRdx va_s0) ==> va_k va_sM ((ctr, iter, y_cur))))
val va_wpProof_Loop6x_loop_body0 : va_old:va_state -> alg:algorithm -> va_in_count:nat ->
va_in_ctr_BE_orig:quad32 -> va_in_h_LE:quad32 -> va_in_hkeys_b:buffer128 -> va_in_in0_b:buffer128
-> va_in_in_b:buffer128 -> va_in_iv_b:buffer128 -> va_in_key_words:(seq nat32) ->
va_in_keys_b:buffer128 -> va_in_out_b:buffer128 -> va_in_plain_quads:(seq quad32) ->
va_in_round_keys:(seq quad32) -> va_in_scratch_b:buffer128 -> va_in_y_orig:quad32 ->
va_in_ctr:quad32 -> va_in_iter:nat -> va_in_y_cur:quad32 -> va_s0:va_state -> va_k:(va_state ->
(quad32 & nat & quad32) -> Type0)
-> Ghost (va_state & va_fuel & (quad32 & nat & quad32))
(requires (va_t_require va_s0 /\ va_wp_Loop6x_loop_body0 va_old alg va_in_count va_in_ctr_BE_orig
va_in_h_LE va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b
va_in_out_b va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr
va_in_iter va_in_y_cur va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Loop6x_loop_body0 alg) ([va_Mod_xmm 9;
va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm
2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10;
va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRdi;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11;
va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2;
va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Loop6x_loop_body0 va_old alg va_in_count va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b
va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur va_s0 va_k =
let (va_sM, va_f0, ctr, iter, y_cur) = va_lemma_Loop6x_loop_body0 (va_code_Loop6x_loop_body0 alg)
va_s0 va_old alg va_in_count va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b va_in_in0_b va_in_in_b
va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys
va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM
(va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM
(va_update_xmm 2 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM
(va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 1 va_sM
(va_update_xmm 0 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRdi va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM
(va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_ok va_sM (va_update_mem
va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2
va_sM (va_update_flags va_sM va_s0)))))))))))))))))))))))))))))));
va_lemma_norm_mods ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags]) va_sM va_s0;
let va_g = (ctr, iter, y_cur) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Loop6x_loop_body0 (va_old:va_state) (alg:algorithm) (va_in_count:nat)
(va_in_ctr_BE_orig:quad32) (va_in_h_LE:quad32) (va_in_hkeys_b:buffer128) (va_in_in0_b:buffer128)
(va_in_in_b:buffer128) (va_in_iv_b:buffer128) (va_in_key_words:(seq nat32))
(va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32))
(va_in_round_keys:(seq quad32)) (va_in_scratch_b:buffer128) (va_in_y_orig:quad32)
(va_in_ctr:quad32) (va_in_iter:nat) (va_in_y_cur:quad32) : (va_quickCode (quad32 & nat & quad32)
(va_code_Loop6x_loop_body0 alg)) =
(va_QProc (va_code_Loop6x_loop_body0 alg) ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm
6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14;
va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0;
va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem;
va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags])
(va_wp_Loop6x_loop_body0 va_old alg va_in_count va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b
va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur)
(va_wpProof_Loop6x_loop_body0 va_old alg va_in_count va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b
va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur))
#pop-options
//--
//-- Loop6x_loop_while0
#push-options "--z3rlimit 750"
val va_code_Loop6x_loop_while0 : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Loop6x_loop_while0 alg =
(va_Block (va_CCons (va_While (va_cmp_gt (va_op_cmp_reg64 rRdx) (va_const_cmp 0)) (va_Block
(va_CCons (va_code_Loop6x_loop_body0 alg) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Loop6x_loop_while0 : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Loop6x_loop_while0 alg =
(va_pbool_and (va_codegen_success_Loop6x_loop_body0 alg) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Loop6x_loop_while0 (va_mods:va_mods_t) (va_old:va_state) (alg:algorithm)
(va_in_count:nat) (va_in_ctr_BE_orig:quad32) (va_in_h_LE:quad32) (va_in_hkeys_b:buffer128)
(va_in_in0_b:buffer128) (va_in_in_b:buffer128) (va_in_iv_b:buffer128) (va_in_key_words:(seq
nat32)) (va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32))
(va_in_round_keys:(seq quad32)) (va_in_scratch_b:buffer128) (va_in_y_orig:quad32)
(va_in_ctr:quad32) (va_in_iter:nat) (va_in_y_cur:quad32) : (va_quickCode (quad32 & nat & quad32)
(va_code_Loop6x_loop_while0 alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (count:nat) =
va_in_count in let (ctr_BE_orig:quad32) = va_in_ctr_BE_orig in let (h_LE:quad32) = va_in_h_LE
in let (hkeys_b:buffer128) = va_in_hkeys_b in let (in0_b:buffer128) = va_in_in0_b in let
(in_b:buffer128) = va_in_in_b in let (iv_b:buffer128) = va_in_iv_b in let (key_words:(seq
nat32)) = va_in_key_words in let (keys_b:buffer128) = va_in_keys_b in let (out_b:buffer128) =
va_in_out_b in let (plain_quads:(seq quad32)) = va_in_plain_quads in let (round_keys:(seq
quad32)) = va_in_round_keys in let (scratch_b:buffer128) = va_in_scratch_b in let
(y_orig:quad32) = va_in_y_orig in let (ctr:quad32) = va_in_ctr in let (iter:nat) = va_in_iter
in let (y_cur:quad32) = va_in_y_cur in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 742 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_qWhile va_mods (Cmp_gt (va_op_cmp_reg64 rRdx) (va_const_cmp 0)) (fun va_g -> let
(ctr:quad32) = let (ctr, iter, y_cur) = va_g in ctr in let (iter:nat) = let (ctr, iter, y_cur)
= va_g in iter in let (y_cur:quad32) = let (ctr, iter, y_cur) = va_g in y_cur in qblock va_mods
(fun (va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 742 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x_loop_body0 va_old alg count ctr_BE_orig h_LE hkeys_b in0_b in_b iv_b key_words
keys_b out_b plain_quads round_keys scratch_b y_orig ctr iter y_cur) (fun (va_s:va_state) va_g
-> let (ctr, iter, y_cur) = va_g in va_QEmpty ((ctr, iter, y_cur))))) (fun (va_s:va_state) va_g
-> let (ctr:quad32) = let (ctr, iter, y_cur) = va_g in ctr in let (iter:nat) = let (ctr, iter,
y_cur) = va_g in iter in let (y_cur:quad32) = let (ctr, iter, y_cur) = va_g in y_cur in
va_get_ok va_s /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_s == va_get_reg64 rRdx
va_old - 6 `op_Multiply` iter /\ va_get_reg64 rR14 va_s == va_get_reg64 rR14 va_old + 96
`op_Multiply` iter /\ va_get_reg64 rRdi va_s == va_get_reg64 rRdi va_old + 96 `op_Multiply`
iter /\ va_get_reg64 rRsi va_s == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter /\
va_get_xmm 2 va_s == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_s) (va_get_reg64 rR8 va_s) iv_b 1
(va_get_mem_layout va_s) Public /\ (va_get_reg64 rRdx va_s > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s) (va_get_reg64 rR14 va_s)
in0_b ((count - 1) `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - iter
`op_Multiply` 6) (va_get_mem_layout va_s) Secret) /\ (va_get_reg64 rRdx va_s > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s) (va_get_reg64 rRdi va_s) in_b
(count `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - iter `op_Multiply`
6) (va_get_mem_layout va_s) Secret) /\ (va_get_reg64 rRdx va_s > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s) (va_get_reg64 rRsi va_s)
out_b (count `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - iter
`op_Multiply` 6) (va_get_mem_layout va_s) Secret) /\ Vale.X64.Decls.validDstAddrs128
(va_get_mem_heaplet 3 va_s) (va_get_reg64 rRbp va_s) scratch_b 9 (va_get_mem_layout va_s)
Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s) (va_get_reg64 rR9 va_s -
32) hkeys_b 8 (va_get_mem_layout va_s) Secret /\ (Vale.X64.Decls.buffers_disjoint128 in_b out_b
\/ in_b == out_b) /\ in0_b == out_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) in_b) >= 6 /\ (va_get_reg64 rRdx va_s > 0
==> Vale.AES.GCTR.partial_seq_agreement plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_s) in_b) (6 `op_Multiply` count + 6 `op_Multiply` iter) (FStar.Seq.Base.length
#Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) in_b))) /\
(va_get_reg64 rRdx va_s > 0 ==> va_get_reg64 rRdi va_s + 16 `op_Multiply` va_get_reg64 rRdx
va_s < pow2_64) /\ (va_get_reg64 rRdx va_s > 0 ==> va_get_reg64 rR14 va_s + 16 `op_Multiply`
va_get_reg64 rRdx va_s < pow2_64) /\ (va_get_reg64 rRdx va_s > 0 ==> va_get_reg64 rRsi va_s +
16 `op_Multiply` va_get_reg64 rRdx va_s < pow2_64) /\
Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_old)
(va_get_mem_heaplet 3 va_s) 1 8 /\ Vale.X64.Decls.modifies_buffer_specific128 out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_s) (count `op_Multiply` 6) (count
`op_Multiply` 6 + iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_s == 0 ==> va_get_reg64
rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 out_b (va_get_mem_heaplet 6
va_old) (va_get_mem_heaplet 6 va_s) (count `op_Multiply` 6) (count `op_Multiply` 6 +
va_get_reg64 rRdx va_old - 1)) /\ Vale.X64.Decls.modifies_buffer_specific128 iv_b
(va_get_mem_heaplet 2 va_old) (va_get_mem_heaplet 2 va_s) 0 0 /\ aes_reqs_offset alg key_words
round_keys keys_b (va_get_reg64 rRcx va_s) (va_get_mem_heaplet 0 va_s) (va_get_mem_layout va_s)
/\ va_get_xmm 15 va_s == FStar.Seq.Base.index #quad32 round_keys 0 /\ pclmulqdq_enabled /\ h_LE
== Vale.AES.AES_s.aes_encrypt_LE alg key_words (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32
0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s)
hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ count + iter - 2 >= 0 /\ (va_get_reg64
rRdx va_s > 0 ==> scratch_reqs scratch_b (count + iter - 2) (va_get_mem_heaplet 3 va_s)
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in0_b) (va_get_xmm 7 va_s)) /\ (va_get_reg64
rRdx va_s == 0 ==> scratch_reqs scratch_b (count + iter - 2) (va_get_mem_heaplet 3 va_s)
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in0_b) (Vale.X64.Decls.buffer128_read
scratch_b 2 (va_get_mem_heaplet 3 va_s))) /\ y_cur == Vale.AES.GHash.ghash_incremental0 h_LE
y_orig (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_s) in0_b) 0 ((count + iter - 2) `op_Multiply` 6)) /\ (va_get_reg64 rRdx va_s > 0 ==> y_cur
== Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
scratch_b 1 (va_get_mem_heaplet 3 va_s)))))) /\ (va_get_reg64 rRdx va_s == 0 ==> va_get_xmm 8
va_s == Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ 2 <= count /\ va_get_reg64 rRdx va_s
`op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_s < pow2_32 /\ (6 <= va_get_reg64 rRdx va_old /\
count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 < pow2_32) /\ count `op_Multiply` 6 + iter
`op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64 rRdx va_s > 0 ==> va_get_reg64 rRdx va_s >= 6)
/\ ctr == Vale.AES.GCTR.inc32lite ctr_BE_orig (6 `op_Multiply` count + iter `op_Multiply` 6) /\
va_get_xmm 2 va_s == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
va_get_xmm 1 va_s == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\
va_get_reg64 rRbx va_s == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256 /\
(va_get_reg64 rRdx va_s > 0 ==> va_get_xmm 9 va_s == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_s))
/\ (va_get_reg64 rRdx va_s > 0 ==> (va_get_reg64 rRbx va_s + 6 < 256 ==> va_get_xmm 10 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ (va_get_reg64 rRdx
va_s > 0 ==> (va_get_reg64 rRbx va_s + 6 < 256 ==> va_get_xmm 11 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ (va_get_reg64 rRdx
va_s > 0 ==> (va_get_reg64 rRbx va_s + 6 < 256 ==> va_get_xmm 12 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ (va_get_reg64 rRdx
va_s > 0 ==> (va_get_reg64 rRbx va_s + 6 < 256 ==> va_get_xmm 13 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ (va_get_reg64 rRdx
va_s > 0 ==> (va_get_reg64 rRbx va_s + 6 < 256 ==> va_get_xmm 14 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ (va_get_reg64 rRdx
va_s == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s) (va_get_xmm 10 va_s) (va_get_xmm
11 va_s) (va_get_xmm 12 va_s) (va_get_xmm 13 va_s) (va_get_xmm 14 va_s) plain_quads alg
key_words ctr_BE_orig (count + iter - 1)) /\ (va_get_reg64 rRdx va_s > 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` count + 6 `op_Multiply` iter) plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b) key_words ctr_BE_orig) /\ (va_get_reg64
rRdx va_s == 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` count + 6 `op_Multiply`
(iter - 1)) plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b) key_words
ctr_BE_orig)) (fun (va_s:va_state) va_g -> let (ctr:quad32) = let (ctr, iter, y_cur) = va_g in
ctr in let (iter:nat) = let (ctr, iter, y_cur) = va_g in iter in let (y_cur:quad32) = let (ctr,
iter, y_cur) = va_g in y_cur in va_get_reg64 rRdx va_s) ((ctr, iter, y_cur))) (fun
(va_s:va_state) va_g -> let (ctr:quad32) = let (ctr, iter, y_cur) = va_g in ctr in let
(iter:nat) = let (ctr, iter, y_cur) = va_g in iter in let (y_cur:quad32) = let (ctr, iter,
y_cur) = va_g in y_cur in let va_g = (ctr, iter, y_cur) in let ((ctr:quad32), (iter:nat),
(y_cur:quad32)) = va_g in va_QEmpty ((ctr, iter, y_cur)))))
val va_lemma_Loop6x_loop_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
alg:algorithm -> va_in_count:nat -> va_in_ctr_BE_orig:quad32 -> va_in_h_LE:quad32 ->
va_in_hkeys_b:buffer128 -> va_in_in0_b:buffer128 -> va_in_in_b:buffer128 -> va_in_iv_b:buffer128
-> va_in_key_words:(seq nat32) -> va_in_keys_b:buffer128 -> va_in_out_b:buffer128 ->
va_in_plain_quads:(seq quad32) -> va_in_round_keys:(seq quad32) -> va_in_scratch_b:buffer128 ->
va_in_y_orig:quad32 -> va_in_ctr:quad32 -> va_in_iter:nat -> va_in_y_cur:quad32
-> Ghost (va_state & va_fuel & quad32 & nat & quad32)
(requires (va_require_total va_b0 (va_code_Loop6x_loop_while0 alg) va_s0 /\ va_get_ok va_s0 /\
(sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_s0 == va_get_reg64 rRdx va_old - 6
`op_Multiply` va_in_iter /\ va_get_reg64 rR14 va_s0 == va_get_reg64 rR14 va_old + 96
`op_Multiply` va_in_iter /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old + 96
`op_Multiply` va_in_iter /\ va_get_reg64 rRsi va_s0 == va_get_reg64 rRsi va_old + 96
`op_Multiply` va_in_iter /\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2
va_s0) (va_get_reg64 rR8 va_s0) va_in_iv_b 1 (va_get_mem_layout va_s0) Public /\ (va_get_reg64
rRdx va_s0 > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b ((va_in_count - 1) `op_Multiply` 6 + va_in_iter
`op_Multiply` 6) (va_get_reg64 rRdx va_old - va_in_iter `op_Multiply` 6) (va_get_mem_layout
va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi va_s0) va_in_in_b (va_in_count `op_Multiply` 6
+ va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - va_in_iter `op_Multiply` 6)
(va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
va_in_out_b (va_in_count `op_Multiply` 6 + va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - va_in_iter `op_Multiply` 6) (va_get_mem_layout va_s0) Secret) /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
va_in_scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) va_in_hkeys_b 8 (va_get_mem_layout
va_s0) Secret /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b ==
va_in_out_b) /\ va_in_in0_b == va_in_out_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_s0
> 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in_b) (6 `op_Multiply` va_in_count + 6 `op_Multiply`
va_in_iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64
rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\ (va_get_reg64 rRdx va_s0 >
0 ==> va_get_reg64 rR14 va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\
(va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx
va_s0 < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b
(va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_s0) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 +
va_in_iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_s0 == 0 ==> va_get_reg64 rRdx va_old
>= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 +
va_get_reg64 rRdx va_old - 1)) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b
(va_get_mem_heaplet 2 va_old) (va_get_mem_heaplet 2 va_s0) 0 0 /\ aes_reqs_offset alg
va_in_key_words va_in_round_keys va_in_keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0
va_s0) (va_get_mem_layout va_s0) /\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32
va_in_round_keys 0 /\ pclmulqdq_enabled /\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg
va_in_key_words (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) /\
Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) va_in_hkeys_b)
(Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE) /\ va_in_count + va_in_iter - 2 >= 0 /\
(va_get_reg64 rRdx va_s0 > 0 ==> scratch_reqs va_in_scratch_b (va_in_count + va_in_iter - 2)
(va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in0_b)
(va_get_xmm 7 va_s0)) /\ (va_get_reg64 rRdx va_s0 == 0 ==> scratch_reqs va_in_scratch_b
(va_in_count + va_in_iter - 2) (va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in0_b) (Vale.X64.Decls.buffer128_read va_in_scratch_b 2
(va_get_mem_heaplet 3 va_s0))) /\ va_in_y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE
va_in_y_orig (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in0_b) 0 ((va_in_count + va_in_iter - 2) `op_Multiply` 6))
/\ (va_get_reg64 rRdx va_s0 > 0 ==> va_in_y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_s0)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_s0)))))) /\ (va_get_reg64 rRdx va_s0 == 0 ==> va_get_xmm 8 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 va_in_y_cur) /\ 2 <= va_in_count /\ va_get_reg64 rRdx
va_s0 `op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ (6 <= va_get_reg64 rRdx
va_old /\ va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_count
`op_Multiply` 6 + va_in_iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64 rRdx va_s0 > 0 ==>
va_get_reg64 rRdx va_s0 >= 6) /\ va_in_ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (6
`op_Multiply` va_in_count + va_in_iter `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 0) /\ va_get_reg64
rRbx va_s0 == va_in_ctr.lo0 `op_Modulus` 256 /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite va_in_ctr 0)) (va_get_xmm 15 va_s0)) /\ (va_get_reg64 rRdx va_s0 > 0
==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 10 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 1))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 2))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 3))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 4))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 5))) /\ (va_get_reg64
rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s0) (va_get_xmm 10 va_s0)
(va_get_xmm 11 va_s0) (va_get_xmm 12 va_s0) (va_get_xmm 13 va_s0) (va_get_xmm 14 va_s0)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_count + va_in_iter - 1)) /\
(va_get_reg64 rRdx va_s0 > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` va_in_iter) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_s0 == 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count + 6 `op_Multiply` (va_in_iter - 1))
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig)))
(ensures (fun (va_sM, va_fM, ctr, iter, y_cur) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_sM == va_get_reg64
rRdx va_old - 6 `op_Multiply` iter /\ va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_old + 96
`op_Multiply` iter /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96 `op_Multiply`
iter /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter /\
va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b ((va_in_count - 1) `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM >
0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRdi
va_sM) va_in_in_b (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM >
0 ==> Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRsi
va_sM) va_in_out_b (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_sM) (va_get_reg64 rRbp va_sM)
va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32) va_in_hkeys_b 8 (va_get_mem_layout
va_sM) Secret /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b ==
va_in_out_b) /\ va_in_in0_b == va_in_out_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_sM
> 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in_b) (6 `op_Multiply` va_in_count + 6 `op_Multiply` iter)
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdi va_sM + 16
`op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64 rRdx va_sM > 0 ==>
va_get_reg64 rR14 va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM <
pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b (va_get_mem_heaplet 3
va_old) (va_get_mem_heaplet 3 va_sM) 1 8 /\ Vale.X64.Decls.modifies_buffer_specific128
va_in_out_b (va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) (va_in_count
`op_Multiply` 6) (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx
va_sM == 0 ==> va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128
va_in_out_b (va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) (va_in_count
`op_Multiply` 6) (va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)
/\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_sM) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ va_in_count + iter - 2 >= 0 /\ (va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b
(va_in_count + iter - 2) (va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\ (va_get_reg64 rRdx va_sM == 0 ==> scratch_reqs
va_in_scratch_b (va_in_count + iter - 2) (va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in0_b) (Vale.X64.Decls.buffer128_read va_in_scratch_b 2
(va_get_mem_heaplet 3 va_sM))) /\ y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE
va_in_y_orig (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in0_b) 0 ((va_in_count + iter - 2) `op_Multiply` 6)) /\
(va_get_reg64 rRdx va_sM > 0 ==> y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_sM)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ 2 <= va_in_count /\ va_get_reg64 rRdx va_sM
`op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_sM < pow2_32 /\ (6 <= va_get_reg64 rRdx va_old /\
va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_count
`op_Multiply` 6 + iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64 rRdx va_sM > 0 ==>
va_get_reg64 rRdx va_sM >= 6) /\ ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (6
`op_Multiply` va_in_count + iter `op_Multiply` 6) /\ va_get_xmm 2 va_sM ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\ va_get_reg64 rRbx
va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256 /\ (va_get_reg64 rRdx
va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ (va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM
== Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ (va_get_reg64
rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ (va_get_reg64 rRdx
va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm 10 va_sM)
(va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14 va_sM)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_count + iter - 1)) /\
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` iter) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_sM == 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count + 6 `op_Multiply` (iter - 1))
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ ~(va_get_reg64 rRdx va_sM > 0) /\ va_state_eq va_sM
(va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM
(va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM
(va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM
(va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRdi va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM
(va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_ok va_sM (va_update_mem
va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2
va_sM (va_update_flags va_sM va_s0))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Loop6x_loop_while0 va_b0 va_s0 va_old alg va_in_count va_in_ctr_BE_orig va_in_h_LE
va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b
va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags] in
let va_qc = va_qcode_Loop6x_loop_while0 va_mods va_old alg va_in_count va_in_ctr_BE_orig
va_in_h_LE va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b
va_in_out_b va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr
va_in_iter va_in_y_cur in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Loop6x_loop_while0 alg) va_qc va_s0
(fun va_s0 va_sM va_g -> let (ctr, iter, y_cur) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 742 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 878 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(sse_enabled /\ movbe_enabled) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 880 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_old - 6 `op_Multiply` iter) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 882 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_old + 96 `op_Multiply` iter) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 883 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96 `op_Multiply` iter) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 884 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 886 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 889 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 891 column 127 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rR14 va_sM) va_in_in0_b ((va_in_count - 1) `op_Multiply` 6 + iter
`op_Multiply` 6) (va_get_reg64 rRdx va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM)
Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 892 column 123 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rRdi va_sM) va_in_in_b (va_in_count `op_Multiply` 6 + iter `op_Multiply`
6) (va_get_reg64 rRdx va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 893 column 123 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rRsi va_sM) va_in_out_b (va_in_count `op_Multiply` 6 + iter `op_Multiply`
6) (va_get_reg64 rRdx va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 895 column 74 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_sM) (va_get_reg64 rRbp va_sM)
va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 896 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32)
va_in_hkeys_b 8 (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 897 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 898 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_in0_b == va_in_out_b) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 900 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) va_in_in_b) >= 6) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 901 column 128 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in_b) (6 `op_Multiply` va_in_count + 6
`op_Multiply` iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 902 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 903 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rR14 va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 904 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 906 column 76 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b (va_get_mem_heaplet 3 va_old)
(va_get_mem_heaplet 3 va_sM) 1 8) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 907 column 95 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 + iter
`op_Multiply` 6 + 5)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 908 column 131 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_reg64 rRdx va_old >= 6 /\
Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 +
va_get_reg64 rRdx va_old - 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 909 column 74 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 912 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(aes_reqs_offset alg va_in_key_words va_in_round_keys va_in_keys_b (va_get_reg64 rRcx va_sM)
(va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 913 column 43 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 916 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
pclmulqdq_enabled /\ label va_range1
"***** POSTCONDITION NOT MET AT line 917 column 71 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 918 column 78 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_sM)
va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 920 column 34 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_count + iter - 2 >= 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 921 column 103 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b (va_in_count + iter - 2)
(va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b)
(va_get_xmm 7 va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 922 column 137 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> scratch_reqs va_in_scratch_b (va_in_count + iter - 2)
(va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b)
(Vale.X64.Decls.buffer128_read va_in_scratch_b 2 (va_get_mem_heaplet 3 va_sM))) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 924 column 112 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice
#Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b) 0
((va_in_count + iter - 2) `op_Multiply` 6))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 926 column 107 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_sM)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_sM)))))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 927 column 59 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
y_cur) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 930 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(2 <= va_in_count) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 931 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM `op_Modulus` 6 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 932 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 933 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(6 <= va_get_reg64 rRdx va_old /\ va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 <
pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 934 column 43 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_count `op_Multiply` 6 + iter `op_Multiply` 6 + 6 < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 935 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdx va_sM >= 6) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 936 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (6 `op_Multiply` va_in_count + iter
`op_Multiply` 6)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 937 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 938 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 939 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 941 column 94 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 943 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 944 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 945 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 946 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 947 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 950 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm
10 va_sM) (va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14
va_sM) va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_count + iter - 1)) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 953 column 117 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` iter) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 954 column 128 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` (iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 742 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(~(va_get_reg64 rRdx va_sM > 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags]) va_sM va_s0;
let (ctr, iter, y_cur) = va_g in
(va_sM, va_fM, ctr, iter, y_cur)
[@ va_qattr]
let va_wp_Loop6x_loop_while0 (va_old:va_state) (alg:algorithm) (va_in_count:nat)
(va_in_ctr_BE_orig:quad32) (va_in_h_LE:quad32) (va_in_hkeys_b:buffer128) (va_in_in0_b:buffer128)
(va_in_in_b:buffer128) (va_in_iv_b:buffer128) (va_in_key_words:(seq nat32))
(va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32))
(va_in_round_keys:(seq quad32)) (va_in_scratch_b:buffer128) (va_in_y_orig:quad32)
(va_in_ctr:quad32) (va_in_iter:nat) (va_in_y_cur:quad32) (va_s0:va_state) (va_k:(va_state ->
(quad32 & nat & quad32) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_s0 == va_get_reg64
rRdx va_old - 6 `op_Multiply` va_in_iter /\ va_get_reg64 rR14 va_s0 == va_get_reg64 rR14 va_old
+ 96 `op_Multiply` va_in_iter /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old + 96
`op_Multiply` va_in_iter /\ va_get_reg64 rRsi va_s0 == va_get_reg64 rRsi va_old + 96
`op_Multiply` va_in_iter /\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2
va_s0) (va_get_reg64 rR8 va_s0) va_in_iv_b 1 (va_get_mem_layout va_s0) Public /\ (va_get_reg64
rRdx va_s0 > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b ((va_in_count - 1) `op_Multiply` 6 + va_in_iter
`op_Multiply` 6) (va_get_reg64 rRdx va_old - va_in_iter `op_Multiply` 6) (va_get_mem_layout
va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi va_s0) va_in_in_b (va_in_count `op_Multiply` 6
+ va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - va_in_iter `op_Multiply` 6)
(va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
va_in_out_b (va_in_count `op_Multiply` 6 + va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - va_in_iter `op_Multiply` 6) (va_get_mem_layout va_s0) Secret) /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
va_in_scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) va_in_hkeys_b 8 (va_get_mem_layout
va_s0) Secret /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b ==
va_in_out_b) /\ va_in_in0_b == va_in_out_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_s0
> 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in_b) (6 `op_Multiply` va_in_count + 6 `op_Multiply`
va_in_iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64
rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\ (va_get_reg64 rRdx va_s0 >
0 ==> va_get_reg64 rR14 va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\
(va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx
va_s0 < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b
(va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_s0) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 +
va_in_iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_s0 == 0 ==> va_get_reg64 rRdx va_old
>= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 +
va_get_reg64 rRdx va_old - 1)) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b
(va_get_mem_heaplet 2 va_old) (va_get_mem_heaplet 2 va_s0) 0 0 /\ aes_reqs_offset alg
va_in_key_words va_in_round_keys va_in_keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0
va_s0) (va_get_mem_layout va_s0) /\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32
va_in_round_keys 0 /\ pclmulqdq_enabled /\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg
va_in_key_words (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) /\
Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) va_in_hkeys_b)
(Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE) /\ va_in_count + va_in_iter - 2 >= 0 /\
(va_get_reg64 rRdx va_s0 > 0 ==> scratch_reqs va_in_scratch_b (va_in_count + va_in_iter - 2)
(va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in0_b)
(va_get_xmm 7 va_s0)) /\ (va_get_reg64 rRdx va_s0 == 0 ==> scratch_reqs va_in_scratch_b
(va_in_count + va_in_iter - 2) (va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in0_b) (Vale.X64.Decls.buffer128_read va_in_scratch_b 2
(va_get_mem_heaplet 3 va_s0))) /\ va_in_y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE
va_in_y_orig (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in0_b) 0 ((va_in_count + va_in_iter - 2) `op_Multiply` 6))
/\ (va_get_reg64 rRdx va_s0 > 0 ==> va_in_y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_s0)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_s0)))))) /\ (va_get_reg64 rRdx va_s0 == 0 ==> va_get_xmm 8 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 va_in_y_cur) /\ 2 <= va_in_count /\ va_get_reg64 rRdx
va_s0 `op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ (6 <= va_get_reg64 rRdx
va_old /\ va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_count
`op_Multiply` 6 + va_in_iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64 rRdx va_s0 > 0 ==>
va_get_reg64 rRdx va_s0 >= 6) /\ va_in_ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (6
`op_Multiply` va_in_count + va_in_iter `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 0) /\ va_get_reg64
rRbx va_s0 == va_in_ctr.lo0 `op_Modulus` 256 /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite va_in_ctr 0)) (va_get_xmm 15 va_s0)) /\ (va_get_reg64 rRdx va_s0 > 0
==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 10 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 1))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 2))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 3))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 4))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 5))) /\ (va_get_reg64
rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s0) (va_get_xmm 10 va_s0)
(va_get_xmm 11 va_s0) (va_get_xmm 12 va_s0) (va_get_xmm 13 va_s0) (va_get_xmm 14 va_s0)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_count + va_in_iter - 1)) /\
(va_get_reg64 rRdx va_s0 > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` va_in_iter) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_s0 == 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count + 6 `op_Multiply` (va_in_iter - 1))
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ (forall (va_x_efl:Vale.X64.Flags.t)
(va_x_heap2:vale_heap) (va_x_heap3:vale_heap) (va_x_heap6:vale_heap) (va_x_mem:vale_heap)
(va_x_ok:bool) (va_x_r11:nat64) (va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64)
(va_x_rbx:nat64) (va_x_rdi:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (va_x_xmm0:quad32)
(va_x_xmm1:quad32) (va_x_xmm10:quad32) (va_x_xmm11:quad32) (va_x_xmm12:quad32)
(va_x_xmm13:quad32) (va_x_xmm14:quad32) (va_x_xmm15:quad32) (va_x_xmm2:quad32)
(va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32) (va_x_xmm7:quad32)
(va_x_xmm8:quad32) (va_x_xmm9:quad32) (ctr:quad32) (iter:nat) (y_cur:quad32) . let va_sM =
va_upd_xmm 9 va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6 va_x_xmm6
(va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2
(va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13 va_x_xmm13 (va_upd_xmm 12
va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 1 va_x_xmm1
(va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRdi va_x_rdi (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13
va_x_r13 (va_upd_reg64 rR12 va_x_r12 (va_upd_reg64 rR11 va_x_r11 (va_upd_ok va_x_ok (va_upd_mem
va_x_mem (va_upd_mem_heaplet 6 va_x_heap6 (va_upd_mem_heaplet 3 va_x_heap3 (va_upd_mem_heaplet
2 va_x_heap2 (va_upd_flags va_x_efl va_s0))))))))))))))))))))))))))))) in va_get_ok va_sM /\
(sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_old - 6
`op_Multiply` iter /\ va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_old + 96 `op_Multiply`
iter /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96 `op_Multiply` iter /\
va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter /\ va_get_xmm 2
va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b ((va_in_count - 1) `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM >
0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRdi
va_sM) va_in_in_b (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM >
0 ==> Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRsi
va_sM) va_in_out_b (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_sM) (va_get_reg64 rRbp va_sM)
va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32) va_in_hkeys_b 8 (va_get_mem_layout
va_sM) Secret /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b ==
va_in_out_b) /\ va_in_in0_b == va_in_out_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_sM
> 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in_b) (6 `op_Multiply` va_in_count + 6 `op_Multiply` iter)
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdi va_sM + 16
`op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64 rRdx va_sM > 0 ==>
va_get_reg64 rR14 va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM <
pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b (va_get_mem_heaplet 3
va_old) (va_get_mem_heaplet 3 va_sM) 1 8 /\ Vale.X64.Decls.modifies_buffer_specific128
va_in_out_b (va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) (va_in_count
`op_Multiply` 6) (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx
va_sM == 0 ==> va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128
va_in_out_b (va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) (va_in_count
`op_Multiply` 6) (va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)
/\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_sM) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ va_in_count + iter - 2 >= 0 /\ (va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b
(va_in_count + iter - 2) (va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\ (va_get_reg64 rRdx va_sM == 0 ==> scratch_reqs
va_in_scratch_b (va_in_count + iter - 2) (va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in0_b) (Vale.X64.Decls.buffer128_read va_in_scratch_b 2
(va_get_mem_heaplet 3 va_sM))) /\ y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE
va_in_y_orig (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in0_b) 0 ((va_in_count + iter - 2) `op_Multiply` 6)) /\
(va_get_reg64 rRdx va_sM > 0 ==> y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_sM)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ 2 <= va_in_count /\ va_get_reg64 rRdx va_sM
`op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_sM < pow2_32 /\ (6 <= va_get_reg64 rRdx va_old /\
va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_count
`op_Multiply` 6 + iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64 rRdx va_sM > 0 ==>
va_get_reg64 rRdx va_sM >= 6) /\ ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (6
`op_Multiply` va_in_count + iter `op_Multiply` 6) /\ va_get_xmm 2 va_sM ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\ va_get_reg64 rRbx
va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256 /\ (va_get_reg64 rRdx
va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ (va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM
== Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ (va_get_reg64
rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ (va_get_reg64 rRdx
va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm 10 va_sM)
(va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14 va_sM)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_count + iter - 1)) /\
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` iter) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_sM == 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count + 6 `op_Multiply` (iter - 1))
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ ~(va_get_reg64 rRdx va_sM > 0) ==> va_k va_sM ((ctr,
iter, y_cur))))
val va_wpProof_Loop6x_loop_while0 : va_old:va_state -> alg:algorithm -> va_in_count:nat ->
va_in_ctr_BE_orig:quad32 -> va_in_h_LE:quad32 -> va_in_hkeys_b:buffer128 -> va_in_in0_b:buffer128
-> va_in_in_b:buffer128 -> va_in_iv_b:buffer128 -> va_in_key_words:(seq nat32) ->
va_in_keys_b:buffer128 -> va_in_out_b:buffer128 -> va_in_plain_quads:(seq quad32) ->
va_in_round_keys:(seq quad32) -> va_in_scratch_b:buffer128 -> va_in_y_orig:quad32 ->
va_in_ctr:quad32 -> va_in_iter:nat -> va_in_y_cur:quad32 -> va_s0:va_state -> va_k:(va_state ->
(quad32 & nat & quad32) -> Type0)
-> Ghost (va_state & va_fuel & (quad32 & nat & quad32))
(requires (va_t_require va_s0 /\ va_wp_Loop6x_loop_while0 va_old alg va_in_count
va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words
va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig
va_in_ctr va_in_iter va_in_y_cur va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Loop6x_loop_while0 alg) ([va_Mod_xmm
9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3;
va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11;
va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64
rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64
rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2;
va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Loop6x_loop_while0 va_old alg va_in_count va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b
va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur va_s0 va_k =
let (va_sM, va_f0, ctr, iter, y_cur) = va_lemma_Loop6x_loop_while0 (va_code_Loop6x_loop_while0
alg) va_s0 va_old alg va_in_count va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b va_in_in0_b
va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM
(va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM
(va_update_xmm 2 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM
(va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 1 va_sM
(va_update_xmm 0 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRdi va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM
(va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_ok va_sM (va_update_mem
va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2
va_sM (va_update_flags va_sM va_s0)))))))))))))))))))))))))))))));
va_lemma_norm_mods ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags]) va_sM va_s0;
let va_g = (ctr, iter, y_cur) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Loop6x_loop_while0 (va_old:va_state) (alg:algorithm) (va_in_count:nat)
(va_in_ctr_BE_orig:quad32) (va_in_h_LE:quad32) (va_in_hkeys_b:buffer128) (va_in_in0_b:buffer128)
(va_in_in_b:buffer128) (va_in_iv_b:buffer128) (va_in_key_words:(seq nat32))
(va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32))
(va_in_round_keys:(seq quad32)) (va_in_scratch_b:buffer128) (va_in_y_orig:quad32)
(va_in_ctr:quad32) (va_in_iter:nat) (va_in_y_cur:quad32) : (va_quickCode (quad32 & nat & quad32)
(va_code_Loop6x_loop_while0 alg)) =
(va_QProc (va_code_Loop6x_loop_while0 alg) ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm
6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14;
va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0;
va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem;
va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags])
(va_wp_Loop6x_loop_while0 va_old alg va_in_count va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b
va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur)
(va_wpProof_Loop6x_loop_while0 va_old alg va_in_count va_in_ctr_BE_orig va_in_h_LE
va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b
va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter
va_in_y_cur))
#pop-options
//--
//-- Loop6x_loop
#push-options "--z3rlimit 750"
val va_code_Loop6x_loop : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Loop6x_loop alg =
(va_Block (va_CCons (va_code_Loop6x_loop_while0 alg) (va_CNil ())))
val va_codegen_success_Loop6x_loop : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Loop6x_loop alg =
(va_pbool_and (va_codegen_success_Loop6x_loop_while0 alg) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Loop6x_loop (va_mods:va_mods_t) (alg:algorithm) (h_LE:quad32) (y_orig:quad32)
(y_prev:quad32) (count:nat) (iv_b:buffer128) (in0_b:buffer128) (in_b:buffer128) (out_b:buffer128)
(scratch_b:buffer128) (plain_quads:(seq quad32)) (key_words:(seq nat32)) (round_keys:(seq
quad32)) (keys_b:buffer128) (hkeys_b:buffer128) (ctr_BE_orig:quad32) (ctr_BE:quad32) :
(va_quickCode (quad32) (va_code_Loop6x_loop alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (iter:nat) = 0 in
let (ctr:quad32) = ctr_BE in let (y_cur:quad32) = y_prev in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 876 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x_loop_while0 va_old_s alg count ctr_BE_orig h_LE hkeys_b in0_b in_b iv_b
key_words keys_b out_b plain_quads round_keys scratch_b y_orig ctr iter y_cur) (fun
(va_s:va_state) va_g -> let (ctr, iter, y_cur) = va_g in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 964 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_registers_reveal ()) (let (y_new:quad32) = y_cur in
va_QEmpty ((y_new))))))
val va_lemma_Loop6x_loop : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> h_LE:quad32 ->
y_orig:quad32 -> y_prev:quad32 -> count:nat -> iv_b:buffer128 -> in0_b:buffer128 ->
in_b:buffer128 -> out_b:buffer128 -> scratch_b:buffer128 -> plain_quads:(seq quad32) ->
key_words:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 ->
ctr_BE_orig:quad32 -> ctr_BE:quad32
-> Ghost (va_state & va_fuel & quad32)
(requires (va_require_total va_b0 (va_code_Loop6x_loop alg) va_s0 /\ va_get_ok va_s0 /\
(sse_enabled /\ movbe_enabled /\ count >= 2 /\ (6 <= va_get_reg64 rRdx va_s0 /\ count
`op_Multiply` 6 + va_get_reg64 rRdx va_s0 + 6 < pow2_32) /\ va_get_reg64 rRdx va_s0
`op_Modulus` 6 == 0 /\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_s0) (va_get_reg64 rR8
va_s0) iv_b 1 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 6 va_s0) (va_get_reg64 rR14 va_s0) in0_b ((count - 1) `op_Multiply` 6)
(va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi va_s0)
in_b (count `op_Multiply` 6) (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
out_b (count `op_Multiply` 6) (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0)
Secret /\ (Vale.X64.Decls.buffers_disjoint128 in_b out_b \/ in_b == out_b) /\ in0_b == out_b /\
Vale.AES.GCTR.partial_seq_agreement plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_s0) in_b) (count `op_Multiply` 6) (FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in_b)) /\ va_get_reg64 rRdi va_s0 + 16
`op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rR14 va_s0 + 16 `op_Multiply`
va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64
rRdx va_s0 < pow2_64 /\ aes_reqs_offset alg key_words round_keys keys_b (va_get_reg64 rRcx
va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ va_get_xmm 15 va_s0 ==
FStar.Seq.Base.index #quad32 round_keys 0 /\ pclmulqdq_enabled /\ h_LE ==
Vale.AES.AES_s.aes_encrypt_LE alg key_words (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0)
hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ scratch_reqs scratch_b (count - 2)
(va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in0_b)
(va_get_xmm 7 va_s0) /\ y_prev == Vale.AES.GHash.ghash_incremental0 h_LE y_orig
(FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0)
in0_b) 0 ((count - 2) `op_Multiply` 6)) /\ y_prev == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_s0)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read scratch_b 1
(va_get_mem_heaplet 3 va_s0))))) /\ count `op_Multiply` 6 + 6 < pow2_32 /\ ctr_BE ==
Vale.AES.GCTR.inc32lite ctr_BE_orig (count `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 0) /\ va_get_reg64 rRbx
va_s0 == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_BE `op_Modulus` 256 /\ va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 0)) (va_get_xmm 15 va_s0) /\ (va_get_reg64 rRbx va_s0 + 6 < 256
==> va_get_xmm 10 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 1)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 2)) /\ (va_get_reg64 rRbx
va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 3)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13
va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 4)) /\
(va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 5)) /\
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` count) plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) out_b) key_words ctr_BE_orig)))
(ensures (fun (va_sM, va_fM, y_new) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM
/\ (Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 8 /\ Vale.X64.Decls.modifies_buffer_specific128 out_b
(va_get_mem_heaplet 6 va_s0) (va_get_mem_heaplet 6 va_sM) (count `op_Multiply` 6) (count
`op_Multiply` 6 + va_get_reg64 rRdx va_s0 - 1) /\ Vale.X64.Decls.modifies_buffer_specific128
iv_b (va_get_mem_heaplet 2 va_s0) (va_get_mem_heaplet 2 va_sM) 0 0 /\ va_get_reg64 rR14 va_sM
== va_get_reg64 rR14 va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRdi
va_sM == va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 /\ va_get_reg64
rRsi va_sM == va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 /\
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` count + va_get_reg64 rRdx va_s0 - 6)
plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out_b) key_words ctr_BE_orig /\
va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 0) (va_get_mem_heaplet 6 va_s0))
(Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6))) /\ va_get_xmm 10 va_sM ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (6 `op_Multiply` count +
va_get_reg64 rRdx va_s0 - 6 + 1) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (6 `op_Multiply` count + va_get_reg64 rRdx
va_s0 - 6 + 1))) /\ va_get_xmm 11 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (6 `op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 2)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE_orig (6 `op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 +
2))) /\ va_get_xmm 12 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b
(6 `op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 3) (va_get_mem_heaplet 6 va_s0))
(Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 3))) /\ va_get_xmm 13 va_sM ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (6 `op_Multiply` count +
va_get_reg64 rRdx va_s0 - 6 + 4) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (6 `op_Multiply` count + va_get_reg64 rRdx
va_s0 - 6 + 4))) /\ va_get_xmm 14 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (6 `op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 5)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE_orig (6 `op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 +
5))) /\ y_new == Vale.AES.GHash.ghash_incremental0 h_LE y_orig (FStar.Seq.Base.slice
#Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) in0_b) 0 (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 12)) /\ va_get_xmm 8 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 y_new /\ scratch_reqs_simple scratch_b
(va_get_mem_heaplet 3 va_sM) (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) in0_b) (6 `op_Multiply` count + va_get_reg64 rRdx va_s0 - 12) (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6)) (Vale.X64.Decls.buffer128_read scratch_b 2
(va_get_mem_heaplet 3 va_sM)) /\ va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE (va_get_reg64 rRdx va_s0))) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2 va_sM
(va_update_mem_heaplet 6 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm
13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm
9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5
va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1
va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM
(va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM
(va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Loop6x_loop va_b0 va_s0 alg h_LE y_orig y_prev count iv_b in0_b in_b out_b scratch_b
plain_quads key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2;
va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm
11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14;
va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_Loop6x_loop va_mods alg h_LE y_orig y_prev count iv_b in0_b in_b out_b
scratch_b plain_quads key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Loop6x_loop alg) va_qc va_s0 (fun va_s0
va_sM va_g -> let y_new = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 742 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ (label va_range1
"***** POSTCONDITION NOT MET AT line 842 column 72 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 8) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 843 column 97 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 out_b (va_get_mem_heaplet 6 va_s0)
(va_get_mem_heaplet 6 va_sM) (count `op_Multiply` 6) (count `op_Multiply` 6 + va_get_reg64 rRdx
va_s0 - 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 844 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 iv_b (va_get_mem_heaplet 2 va_s0)
(va_get_mem_heaplet 2 va_sM) 0 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 849 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 850 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 851 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 854 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` count + va_get_reg64 rRdx va_s0 - 6)
plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out_b) key_words ctr_BE_orig) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 856 column 167 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 0) (va_get_mem_heaplet 6 va_s0))
(Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6)))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 857 column 171 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 10 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 1) (va_get_mem_heaplet 6 va_s0))
(Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 1)))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 858 column 171 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 11 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 2) (va_get_mem_heaplet 6 va_s0))
(Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 2)))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 859 column 171 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 12 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 3) (va_get_mem_heaplet 6 va_s0))
(Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 3)))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 860 column 171 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 13 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 4) (va_get_mem_heaplet 6 va_s0))
(Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 4)))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 861 column 171 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 14 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 5) (va_get_mem_heaplet 6 va_s0))
(Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 5)))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 864 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(y_new == Vale.AES.GHash.ghash_incremental0 h_LE y_orig (FStar.Seq.Base.slice
#Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) in0_b) 0 (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 12))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 865 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_new) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 867 column 163 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(scratch_reqs_simple scratch_b (va_get_mem_heaplet 3 va_sM) (FStar.Seq.Base.slice
#Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) in0_b) (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 12) (6 `op_Multiply` count + va_get_reg64 rRdx
va_s0 - 6)) (Vale.X64.Decls.buffer128_read scratch_b 2 (va_get_mem_heaplet 3 va_sM))) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 870 column 64 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE
(va_get_reg64 rRdx va_s0))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet
6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10;
va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm
3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_reg64
rRdi; va_Mod_ok; va_Mod_mem]) va_sM va_s0;
let y_new = va_g in
(va_sM, va_fM, y_new)
[@ va_qattr]
let va_wp_Loop6x_loop (alg:algorithm) (h_LE:quad32) (y_orig:quad32) (y_prev:quad32) (count:nat)
(iv_b:buffer128) (in0_b:buffer128) (in_b:buffer128) (out_b:buffer128) (scratch_b:buffer128)
(plain_quads:(seq quad32)) (key_words:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128)
(hkeys_b:buffer128) (ctr_BE_orig:quad32) (ctr_BE:quad32) (va_s0:va_state) (va_k:(va_state ->
quad32 -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ movbe_enabled /\ count >= 2 /\ (6 <= va_get_reg64 rRdx va_s0
/\ count `op_Multiply` 6 + va_get_reg64 rRdx va_s0 + 6 < pow2_32) /\ va_get_reg64 rRdx va_s0
`op_Modulus` 6 == 0 /\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_s0) (va_get_reg64 rR8
va_s0) iv_b 1 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 6 va_s0) (va_get_reg64 rR14 va_s0) in0_b ((count - 1) `op_Multiply` 6)
(va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi va_s0)
in_b (count `op_Multiply` 6) (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
out_b (count `op_Multiply` 6) (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0)
Secret /\ (Vale.X64.Decls.buffers_disjoint128 in_b out_b \/ in_b == out_b) /\ in0_b == out_b /\
Vale.AES.GCTR.partial_seq_agreement plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_s0) in_b) (count `op_Multiply` 6) (FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in_b)) /\ va_get_reg64 rRdi va_s0 + 16
`op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rR14 va_s0 + 16 `op_Multiply`
va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64
rRdx va_s0 < pow2_64 /\ aes_reqs_offset alg key_words round_keys keys_b (va_get_reg64 rRcx
va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ va_get_xmm 15 va_s0 ==
FStar.Seq.Base.index #quad32 round_keys 0 /\ pclmulqdq_enabled /\ h_LE ==
Vale.AES.AES_s.aes_encrypt_LE alg key_words (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0)
hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ scratch_reqs scratch_b (count - 2)
(va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in0_b)
(va_get_xmm 7 va_s0) /\ y_prev == Vale.AES.GHash.ghash_incremental0 h_LE y_orig
(FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0)
in0_b) 0 ((count - 2) `op_Multiply` 6)) /\ y_prev == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_s0)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read scratch_b 1
(va_get_mem_heaplet 3 va_s0))))) /\ count `op_Multiply` 6 + 6 < pow2_32 /\ ctr_BE ==
Vale.AES.GCTR.inc32lite ctr_BE_orig (count `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 0) /\ va_get_reg64 rRbx
va_s0 == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_BE `op_Modulus` 256 /\ va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 0)) (va_get_xmm 15 va_s0) /\ (va_get_reg64 rRbx va_s0 + 6 < 256
==> va_get_xmm 10 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 1)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 2)) /\ (va_get_reg64 rRbx
va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 3)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13
va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 4)) /\
(va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 5)) /\
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` count) plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) out_b) key_words ctr_BE_orig) /\ (forall (va_x_mem:vale_heap)
(va_x_rdi:nat64) (va_x_rsi:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r11:nat64)
(va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_xmm0:quad32) (va_x_xmm1:quad32)
(va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32)
(va_x_xmm7:quad32) (va_x_xmm8:quad32) (va_x_xmm9:quad32) (va_x_xmm10:quad32)
(va_x_xmm11:quad32) (va_x_xmm12:quad32) (va_x_xmm13:quad32) (va_x_xmm14:quad32)
(va_x_xmm15:quad32) (va_x_heap6:vale_heap) (va_x_heap2:vale_heap) (va_x_heap3:vale_heap)
(va_x_efl:Vale.X64.Flags.t) (y_new:quad32) . let va_sM = va_upd_flags va_x_efl
(va_upd_mem_heaplet 3 va_x_heap3 (va_upd_mem_heaplet 2 va_x_heap2 (va_upd_mem_heaplet 6
va_x_heap6 (va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13 va_x_xmm13
(va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 9
va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5
va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 1
va_x_xmm1 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13
(va_upd_reg64 rR12 va_x_r12 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdi va_x_rdi (va_upd_mem
va_x_mem va_s0)))))))))))))))))))))))))))) in va_get_ok va_sM /\
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 8 /\ Vale.X64.Decls.modifies_buffer_specific128 out_b
(va_get_mem_heaplet 6 va_s0) (va_get_mem_heaplet 6 va_sM) (count `op_Multiply` 6) (count
`op_Multiply` 6 + va_get_reg64 rRdx va_s0 - 1) /\ Vale.X64.Decls.modifies_buffer_specific128
iv_b (va_get_mem_heaplet 2 va_s0) (va_get_mem_heaplet 2 va_sM) 0 0 /\ va_get_reg64 rR14 va_sM
== va_get_reg64 rR14 va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRdi
va_sM == va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 /\ va_get_reg64
rRsi va_sM == va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 /\
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` count + va_get_reg64 rRdx va_s0 - 6)
plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out_b) key_words ctr_BE_orig /\
va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 0) (va_get_mem_heaplet 6 va_s0))
(Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6))) /\ va_get_xmm 10 va_sM ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (6 `op_Multiply` count +
va_get_reg64 rRdx va_s0 - 6 + 1) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (6 `op_Multiply` count + va_get_reg64 rRdx
va_s0 - 6 + 1))) /\ va_get_xmm 11 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (6 `op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 2)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE_orig (6 `op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 +
2))) /\ va_get_xmm 12 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b
(6 `op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 3) (va_get_mem_heaplet 6 va_s0))
(Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 3))) /\ va_get_xmm 13 va_sM ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (6 `op_Multiply` count +
va_get_reg64 rRdx va_s0 - 6 + 4) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (6 `op_Multiply` count + va_get_reg64 rRdx
va_s0 - 6 + 4))) /\ va_get_xmm 14 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (6 `op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 + 5)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE_orig (6 `op_Multiply` count + va_get_reg64 rRdx va_s0 - 6 +
5))) /\ y_new == Vale.AES.GHash.ghash_incremental0 h_LE y_orig (FStar.Seq.Base.slice
#Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) in0_b) 0 (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 12)) /\ va_get_xmm 8 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 y_new /\ scratch_reqs_simple scratch_b
(va_get_mem_heaplet 3 va_sM) (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) in0_b) (6 `op_Multiply` count + va_get_reg64 rRdx va_s0 - 12) (6
`op_Multiply` count + va_get_reg64 rRdx va_s0 - 6)) (Vale.X64.Decls.buffer128_read scratch_b 2
(va_get_mem_heaplet 3 va_sM)) /\ va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE (va_get_reg64 rRdx va_s0))) ==> va_k va_sM ((y_new))))
val va_wpProof_Loop6x_loop : alg:algorithm -> h_LE:quad32 -> y_orig:quad32 -> y_prev:quad32 ->
count:nat -> iv_b:buffer128 -> in0_b:buffer128 -> in_b:buffer128 -> out_b:buffer128 ->
scratch_b:buffer128 -> plain_quads:(seq quad32) -> key_words:(seq nat32) -> round_keys:(seq
quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 -> ctr_BE_orig:quad32 -> ctr_BE:quad32 ->
va_s0:va_state -> va_k:(va_state -> quad32 -> Type0)
-> Ghost (va_state & va_fuel & quad32)
(requires (va_t_require va_s0 /\ va_wp_Loop6x_loop alg h_LE y_orig y_prev count iv_b in0_b in_b
out_b scratch_b plain_quads key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Loop6x_loop alg) ([va_Mod_flags;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14;
va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8;
va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm
1; va_Mod_xmm 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11;
va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_mem]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Loop6x_loop alg h_LE y_orig y_prev count iv_b in0_b in_b out_b scratch_b plain_quads
key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE va_s0 va_k =
let (va_sM, va_f0, y_new) = va_lemma_Loop6x_loop (va_code_Loop6x_loop alg) va_s0 alg h_LE y_orig
y_prev count iv_b in0_b in_b out_b scratch_b plain_quads key_words round_keys keys_b hkeys_b
ctr_BE_orig ctr_BE in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 3 va_sM
(va_update_mem_heaplet 2 va_sM (va_update_mem_heaplet 6 va_sM (va_update_xmm 15 va_sM
(va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM
(va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM
(va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM
(va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR14
va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRsi va_sM
(va_update_reg64 rRdi va_sM (va_update_ok va_sM (va_update_mem va_sM
va_s0)))))))))))))))))))))))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet
6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10;
va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm
3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_reg64
rRdi; va_Mod_mem]) va_sM va_s0;
let va_g = (y_new) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Loop6x_loop (alg:algorithm) (h_LE:quad32) (y_orig:quad32) (y_prev:quad32) (count:nat)
(iv_b:buffer128) (in0_b:buffer128) (in_b:buffer128) (out_b:buffer128) (scratch_b:buffer128)
(plain_quads:(seq quad32)) (key_words:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128)
(hkeys_b:buffer128) (ctr_BE_orig:quad32) (ctr_BE:quad32) : (va_quickCode quad32
(va_code_Loop6x_loop alg)) =
(va_QProc (va_code_Loop6x_loop alg) ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2;
va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm
11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14;
va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_mem]) (va_wp_Loop6x_loop alg h_LE y_orig y_prev
count iv_b in0_b in_b out_b scratch_b plain_quads key_words round_keys keys_b hkeys_b
ctr_BE_orig ctr_BE) (va_wpProof_Loop6x_loop alg h_LE y_orig y_prev count iv_b in0_b in_b out_b
scratch_b plain_quads key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE))
#pop-options
//--
//-- AESNI_ctr32_6x_preamble
#push-options "--z3rlimit 80"
#restart-solver
val va_code_AESNI_ctr32_6x_preamble : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_AESNI_ctr32_6x_preamble alg =
(va_Block (va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 4)
(va_op_reg_opr64_reg64 rRcx) (0 - 128) Secret) (va_CCons (va_code_Load_one_msb ()) (va_CCons
(va_code_Load128_buffer (va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 15) (va_op_reg_opr64_reg64
rRcx) (16 - 128) Secret) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR12)
(va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR12) (va_const_opr64
96)) (va_CCons (va_code_VPxor (va_op_xmm_xmm 9) (va_op_xmm_xmm 1) (va_op_opr128_xmm 4))
(va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 6)) (va_CCons (va_IfElse
(va_cmp_lt (va_op_cmp_reg64 rRbx) (va_const_cmp 256)) (va_Block (va_CCons (va_code_VPaddd
(va_op_xmm_xmm 10) (va_op_xmm_xmm 1) (va_op_xmm_xmm 2)) (va_CCons (va_code_VPaddd
(va_op_xmm_xmm 11) (va_op_xmm_xmm 10) (va_op_xmm_xmm 2)) (va_CCons (va_code_VPxor
(va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_opr128_xmm 4)) (va_CCons (va_code_VPaddd
(va_op_xmm_xmm 12) (va_op_xmm_xmm 11) (va_op_xmm_xmm 2)) (va_CCons (va_code_VPxor
(va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_opr128_xmm 4)) (va_CCons (va_code_VPaddd
(va_op_xmm_xmm 13) (va_op_xmm_xmm 12) (va_op_xmm_xmm 2)) (va_CCons (va_code_VPxor
(va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_opr128_xmm 4)) (va_CCons (va_code_VPaddd
(va_op_xmm_xmm 14) (va_op_xmm_xmm 13) (va_op_xmm_xmm 2)) (va_CCons (va_code_VPxor
(va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_opr128_xmm 4)) (va_CCons (va_code_VPaddd
(va_op_xmm_xmm 1) (va_op_xmm_xmm 14) (va_op_xmm_xmm 2)) (va_CCons (va_code_VPxor (va_op_xmm_xmm
14) (va_op_xmm_xmm 14) (va_op_opr128_xmm 4)) (va_CNil ()))))))))))))) (va_Block (va_CCons
(va_code_Sub64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 256)) (va_CCons
(va_code_Handle_ctr32_2 ()) (va_CNil ()))))) (va_CNil ()))))))))))
val va_codegen_success_AESNI_ctr32_6x_preamble : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_AESNI_ctr32_6x_preamble alg =
(va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 4)
(va_op_reg_opr64_reg64 rRcx) (0 - 128) Secret) (va_pbool_and (va_codegen_success_Load_one_msb
()) (va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_xmm_xmm 15) (va_op_reg_opr64_reg64 rRcx) (16 - 128) Secret) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rRcx)) (va_pbool_and
(va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR12) (va_const_opr64 96)) (va_pbool_and
(va_codegen_success_VPxor (va_op_xmm_xmm 9) (va_op_xmm_xmm 1) (va_op_opr128_xmm 4))
(va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 6))
(va_pbool_and (va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 10) (va_op_xmm_xmm 1)
(va_op_xmm_xmm 2)) (va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 11) (va_op_xmm_xmm
10) (va_op_xmm_xmm 2)) (va_pbool_and (va_codegen_success_VPxor (va_op_xmm_xmm 10)
(va_op_xmm_xmm 10) (va_op_opr128_xmm 4)) (va_pbool_and (va_codegen_success_VPaddd
(va_op_xmm_xmm 12) (va_op_xmm_xmm 11) (va_op_xmm_xmm 2)) (va_pbool_and
(va_codegen_success_VPxor (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_opr128_xmm 4))
(va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 13) (va_op_xmm_xmm 12) (va_op_xmm_xmm
2)) (va_pbool_and (va_codegen_success_VPxor (va_op_xmm_xmm 12) (va_op_xmm_xmm 12)
(va_op_opr128_xmm 4)) (va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 14)
(va_op_xmm_xmm 13) (va_op_xmm_xmm 2)) (va_pbool_and (va_codegen_success_VPxor (va_op_xmm_xmm
13) (va_op_xmm_xmm 13) (va_op_opr128_xmm 4)) (va_pbool_and (va_codegen_success_VPaddd
(va_op_xmm_xmm 1) (va_op_xmm_xmm 14) (va_op_xmm_xmm 2)) (va_pbool_and (va_codegen_success_VPxor
(va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_opr128_xmm 4)) (va_pbool_and
(va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 256))
(va_codegen_success_Handle_ctr32_2 ()))))))))))))) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_AESNI_ctr32_6x_preamble (va_mods:va_mods_t) (alg:algorithm) (key_words:(seq nat32))
(round_keys:(seq quad32)) (keys_b:buffer128) (ctr_orig:quad32) : (va_quickCode unit
(va_code_AESNI_ctr32_6x_preamble alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1024 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 4) (va_op_reg_opr64_reg64
rRcx) (0 - 128) Secret keys_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1025 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load_one_msb ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1026 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 15)
(va_op_reg_opr64_reg64 rRcx) (16 - 128) Secret keys_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1029 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1030 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rR12) (va_const_opr64 96)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1032 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 9) (va_op_xmm_xmm 1) (va_op_opr128_xmm 4)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 1034 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 6)) (fun (va_s:va_state) _ ->
va_QBind va_range1
"***** PRECONDITION NOT MET AT line 1035 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_qIf va_mods (Cmp_lt (va_op_cmp_reg64 rRbx) (va_const_cmp 256)) (qblock va_mods (fun
(va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 1036 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 10) (va_op_xmm_xmm 1) (va_op_xmm_xmm 2)) (fun (va_s:va_state) _
-> let (va_arg83:Vale.Def.Types_s.quad32) = va_get_xmm 10 va_s in let
(va_arg82:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_old_s in let
(va_arg81:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite ctr_orig 0 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1037 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.lemma_incr_msb va_arg81 va_arg82 va_arg83 1) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 1038 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 11) (va_op_xmm_xmm 10) (va_op_xmm_xmm 2)) (fun (va_s:va_state)
_ -> let (va_arg80:Vale.Def.Types_s.quad32) = va_get_xmm 11 va_s in let
(va_arg79:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_old_s in let
(va_arg78:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite ctr_orig 0 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1039 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.lemma_incr_msb va_arg78 va_arg79 va_arg80 2) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1040 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_opr128_xmm 4)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 1041 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 12) (va_op_xmm_xmm 11) (va_op_xmm_xmm 2)) (fun (va_s:va_state)
_ -> let (va_arg77:Vale.Def.Types_s.quad32) = va_get_xmm 12 va_s in let
(va_arg76:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_old_s in let
(va_arg75:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite ctr_orig 0 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1042 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.lemma_incr_msb va_arg75 va_arg76 va_arg77 3) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1043 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_opr128_xmm 4)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 1044 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 13) (va_op_xmm_xmm 12) (va_op_xmm_xmm 2)) (fun (va_s:va_state)
_ -> let (va_arg74:Vale.Def.Types_s.quad32) = va_get_xmm 13 va_s in let
(va_arg73:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_old_s in let
(va_arg72:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite ctr_orig 0 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1045 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.lemma_incr_msb va_arg72 va_arg73 va_arg74 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1046 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_opr128_xmm 4)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 1047 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 14) (va_op_xmm_xmm 13) (va_op_xmm_xmm 2)) (fun (va_s:va_state)
_ -> let (va_arg71:Vale.Def.Types_s.quad32) = va_get_xmm 14 va_s in let
(va_arg70:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_old_s in let
(va_arg69:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite ctr_orig 0 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1048 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.lemma_incr_msb va_arg69 va_arg70 va_arg71 5) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1049 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_opr128_xmm 4)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 1050 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 1) (va_op_xmm_xmm 14) (va_op_xmm_xmm 2)) (fun (va_s:va_state) _
-> let (va_arg68:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_s in let
(va_arg67:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_old_s in let
(va_arg66:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite ctr_orig 0 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1051 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.lemma_incr_msb va_arg66 va_arg67 va_arg68 6) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1052 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_opr128_xmm 4)) (va_QEmpty
(())))))))))))))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1054 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 256)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1055 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Handle_ctr32_2 ctr_orig) (va_QEmpty (())))))) (fun (va_s:va_state) va_g -> let
(va_arg65:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = round_keys in let
(va_arg64:Vale.Def.Types_s.quad32) = va_get_xmm 9 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1058 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.init_rounds_opaque va_arg64 va_arg65) (let
(va_arg63:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = round_keys in let
(va_arg62:Vale.Def.Types_s.quad32) = va_get_xmm 10 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1059 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.init_rounds_opaque va_arg62 va_arg63) (let
(va_arg61:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = round_keys in let
(va_arg60:Vale.Def.Types_s.quad32) = va_get_xmm 11 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1060 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.init_rounds_opaque va_arg60 va_arg61) (let
(va_arg59:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = round_keys in let
(va_arg58:Vale.Def.Types_s.quad32) = va_get_xmm 12 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1061 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.init_rounds_opaque va_arg58 va_arg59) (let
(va_arg57:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = round_keys in let
(va_arg56:Vale.Def.Types_s.quad32) = va_get_xmm 13 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1062 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.init_rounds_opaque va_arg56 va_arg57) (let
(va_arg55:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = round_keys in let
(va_arg54:Vale.Def.Types_s.quad32) = va_get_xmm 14 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1063 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.init_rounds_opaque va_arg54 va_arg55) (va_QEmpty
(())))))))))))))))))
val va_lemma_AESNI_ctr32_6x_preamble : va_b0:va_code -> va_s0:va_state -> alg:algorithm ->
key_words:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> ctr_orig:quad32
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_ctr32_6x_preamble alg) va_s0 /\ va_get_ok va_s0
/\ (sse_enabled /\ aes_reqs_offset alg key_words round_keys keys_b (va_get_reg64 rRcx va_s0)
(va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ va_get_reg64 rRcx va_s0 - 96 >= 0 /\
va_get_xmm 1 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig
0) /\ va_get_reg64 rRbx va_s0 == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_orig
`op_Modulus` 256 /\ va_get_xmm 0 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32
202182159 134810123 67438087 66051)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (0
<= va_get_reg64 rRbx va_sM /\ va_get_reg64 rRbx va_sM < 256 /\ va_get_reg64 rRbx va_sM ==
Vale.Def.Words_s.__proj__Mkfour__item__lo0 (Vale.AES.GCTR.inc32lite ctr_orig 6) `op_Modulus`
256 /\ va_get_xmm 9 va_sM == Vale.AES.AES_s.eval_rounds (Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 0))
(FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)) round_keys 0 /\ va_get_xmm 10
va_sM == Vale.AES.AES_s.eval_rounds (Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 1))
(FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)) round_keys 0 /\ va_get_xmm 11
va_sM == Vale.AES.AES_s.eval_rounds (Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 2))
(FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)) round_keys 0 /\ va_get_xmm 12
va_sM == Vale.AES.AES_s.eval_rounds (Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 3))
(FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)) round_keys 0 /\ va_get_xmm 13
va_sM == Vale.AES.AES_s.eval_rounds (Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 4))
(FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)) round_keys 0 /\ va_get_xmm 14
va_sM == Vale.AES.AES_s.eval_rounds (Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 5))
(FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)) round_keys 0 /\ va_get_xmm 1
va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 6) /\
va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 round_keys 1) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM
(va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 9 va_sM
(va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 2 va_sM
(va_update_xmm 1 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64
rRbx va_sM (va_update_ok va_sM va_s0)))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_AESNI_ctr32_6x_preamble va_b0 va_s0 alg key_words round_keys keys_b ctr_orig =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm
12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4;
va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_ok]
in
let va_qc = va_qcode_AESNI_ctr32_6x_preamble va_mods alg key_words round_keys keys_b ctr_orig in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_AESNI_ctr32_6x_preamble alg) va_qc
va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 968 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ (label va_range1
"***** POSTCONDITION NOT MET AT line 1010 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(0 <= va_get_reg64 rRbx va_sM /\ va_get_reg64 rRbx va_sM < 256) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1011 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 (Vale.AES.GCTR.inc32lite
ctr_orig 6) `op_Modulus` 256) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1013 column 125 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 9 va_sM == Vale.AES.AES_s.eval_rounds (Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 0))
(FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)) round_keys 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1014 column 125 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 10 va_sM == Vale.AES.AES_s.eval_rounds (Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 1))
(FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)) round_keys 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1015 column 125 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 11 va_sM == Vale.AES.AES_s.eval_rounds (Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 2))
(FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)) round_keys 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1016 column 125 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 12 va_sM == Vale.AES.AES_s.eval_rounds (Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 3))
(FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)) round_keys 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1017 column 125 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 13 va_sM == Vale.AES.AES_s.eval_rounds (Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 4))
(FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)) round_keys 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1018 column 125 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 14 va_sM == Vale.AES.AES_s.eval_rounds (Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 5))
(FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)) round_keys 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1020 column 59 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig
6)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1022 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 round_keys 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12;
va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4;
va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_ctr32_6x_preamble (alg:algorithm) (key_words:(seq nat32)) (round_keys:(seq quad32))
(keys_b:buffer128) (ctr_orig:quad32) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ aes_reqs_offset alg key_words round_keys keys_b (va_get_reg64
rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ va_get_reg64 rRcx va_s0 -
96 >= 0 /\ va_get_xmm 1 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_orig 0) /\ va_get_reg64 rRbx va_s0 == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_orig
`op_Modulus` 256 /\ va_get_xmm 0 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32
202182159 134810123 67438087 66051) /\ (forall (va_x_rbx:nat64) (va_x_r11:nat64)
(va_x_r12:nat64) (va_x_xmm1:quad32) (va_x_xmm2:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32)
(va_x_xmm6:quad32) (va_x_xmm9:quad32) (va_x_xmm10:quad32) (va_x_xmm11:quad32)
(va_x_xmm12:quad32) (va_x_xmm13:quad32) (va_x_xmm14:quad32) (va_x_xmm15:quad32)
(va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_xmm 15 va_x_xmm15
(va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13 va_x_xmm13 (va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11
va_x_xmm11 (va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 9 va_x_xmm9 (va_upd_xmm 6 va_x_xmm6
(va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 1 va_x_xmm1
(va_upd_reg64 rR12 va_x_r12 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rRbx va_x_rbx
va_s0))))))))))))))) in va_get_ok va_sM /\ (0 <= va_get_reg64 rRbx va_sM /\ va_get_reg64 rRbx
va_sM < 256 /\ va_get_reg64 rRbx va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0
(Vale.AES.GCTR.inc32lite ctr_orig 6) `op_Modulus` 256 /\ va_get_xmm 9 va_sM ==
Vale.AES.AES_s.eval_rounds (Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 0)) (FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys
0)) round_keys 0 /\ va_get_xmm 10 va_sM == Vale.AES.AES_s.eval_rounds
(Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_orig 1)) (FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)) round_keys 0 /\
va_get_xmm 11 va_sM == Vale.AES.AES_s.eval_rounds (Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 2))
(FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)) round_keys 0 /\ va_get_xmm 12
va_sM == Vale.AES.AES_s.eval_rounds (Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 3))
(FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)) round_keys 0 /\ va_get_xmm 13
va_sM == Vale.AES.AES_s.eval_rounds (Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 4))
(FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)) round_keys 0 /\ va_get_xmm 14
va_sM == Vale.AES.AES_s.eval_rounds (Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 5))
(FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)) round_keys 0 /\ va_get_xmm 1
va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 6) /\
va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 round_keys 1) ==> va_k va_sM (())))
val va_wpProof_AESNI_ctr32_6x_preamble : alg:algorithm -> key_words:(seq nat32) -> round_keys:(seq
quad32) -> keys_b:buffer128 -> ctr_orig: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_AESNI_ctr32_6x_preamble alg key_words round_keys keys_b
ctr_orig va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_ctr32_6x_preamble alg)
([va_Mod_flags; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11;
va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 2; va_Mod_xmm
1; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_ctr32_6x_preamble alg key_words round_keys keys_b ctr_orig va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_ctr32_6x_preamble (va_code_AESNI_ctr32_6x_preamble alg) va_s0
alg key_words round_keys keys_b ctr_orig in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM
(va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM
(va_update_xmm 9 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM
(va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11
va_sM (va_update_reg64 rRbx va_sM (va_update_ok va_sM va_s0))))))))))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12;
va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4;
va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx]) va_sM
va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AESNI_ctr32_6x_preamble (alg:algorithm) (key_words:(seq nat32)) (round_keys:(seq
quad32)) (keys_b:buffer128) (ctr_orig:quad32) : (va_quickCode unit
(va_code_AESNI_ctr32_6x_preamble alg)) =
(va_QProc (va_code_AESNI_ctr32_6x_preamble alg) ([va_Mod_flags; va_Mod_xmm 15; va_Mod_xmm 14;
va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 6;
va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_reg64 rR12; va_Mod_reg64 rR11;
va_Mod_reg64 rRbx]) (va_wp_AESNI_ctr32_6x_preamble alg key_words round_keys keys_b ctr_orig)
(va_wpProof_AESNI_ctr32_6x_preamble alg key_words round_keys keys_b ctr_orig))
#pop-options
//--
//-- AESNI_ctr32_6x_loop_body
val va_code_AESNI_ctr32_6x_loop_body : alg:algorithm -> rnd:nat -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_AESNI_ctr32_6x_loop_body alg rnd =
(va_Block (va_CCons (va_code_VAESNI_enc (va_op_xmm_xmm 9) (va_op_xmm_xmm 9) (va_op_xmm_xmm 15))
(va_CCons (va_code_VAESNI_enc (va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_xmm_xmm 15))
(va_CCons (va_code_VAESNI_enc (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_xmm_xmm 15))
(va_CCons (va_code_VAESNI_enc (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_xmm_xmm 15))
(va_CCons (va_code_VAESNI_enc (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_xmm_xmm 15))
(va_CCons (va_code_VAESNI_enc (va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_xmm_xmm 15))
(va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 15)
(va_op_reg_opr64_reg64 rRcx) (16 `op_Multiply` (rnd + 2) - 128) Secret) (va_CNil ())))))))))
val va_codegen_success_AESNI_ctr32_6x_loop_body : alg:algorithm -> rnd:nat -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_AESNI_ctr32_6x_loop_body alg rnd =
(va_pbool_and (va_codegen_success_VAESNI_enc (va_op_xmm_xmm 9) (va_op_xmm_xmm 9) (va_op_xmm_xmm
15)) (va_pbool_and (va_codegen_success_VAESNI_enc (va_op_xmm_xmm 10) (va_op_xmm_xmm 10)
(va_op_xmm_xmm 15)) (va_pbool_and (va_codegen_success_VAESNI_enc (va_op_xmm_xmm 11)
(va_op_xmm_xmm 11) (va_op_xmm_xmm 15)) (va_pbool_and (va_codegen_success_VAESNI_enc
(va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_xmm_xmm 15)) (va_pbool_and
(va_codegen_success_VAESNI_enc (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_xmm_xmm 15))
(va_pbool_and (va_codegen_success_VAESNI_enc (va_op_xmm_xmm 14) (va_op_xmm_xmm 14)
(va_op_xmm_xmm 15)) (va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet
0) (va_op_xmm_xmm 15) (va_op_reg_opr64_reg64 rRcx) (16 `op_Multiply` (rnd + 2) - 128) Secret)
(va_ttrue ()))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_AESNI_ctr32_6x_loop_body (va_mods:va_mods_t) (alg:algorithm) (rnd:nat) (key_words:(seq
nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (init0:quad32) (init1:quad32) (init2:quad32)
(init3:quad32) (init4:quad32) (init5:quad32) : (va_quickCode unit
(va_code_AESNI_ctr32_6x_loop_body alg rnd)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1118 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VAESNI_enc (va_op_xmm_xmm 9) (va_op_xmm_xmm 9) (va_op_xmm_xmm 15)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1119 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VAESNI_enc (va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_xmm_xmm 15)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1120 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VAESNI_enc (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_xmm_xmm 15)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1121 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VAESNI_enc (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_xmm_xmm 15)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1122 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VAESNI_enc (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_xmm_xmm 15)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 1123 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VAESNI_enc (va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_xmm_xmm 15)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1125 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_s.eval_rounds_reveal ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1126 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.commute_sub_bytes_shift_rows_forall ()) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1127 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 15)
(va_op_reg_opr64_reg64 rRcx) (16 `op_Multiply` (rnd + 2) - 128) Secret keys_b (rnd + 2))
(va_QEmpty (()))))))))))))
val va_lemma_AESNI_ctr32_6x_loop_body : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> rnd:nat
-> key_words:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> init0:quad32 ->
init1:quad32 -> init2:quad32 -> init3:quad32 -> init4:quad32 -> init5:quad32
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_ctr32_6x_loop_body alg rnd) va_s0 /\ va_get_ok
va_s0 /\ (sse_enabled /\ aes_reqs_offset alg key_words round_keys keys_b (va_get_reg64 rRcx
va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ rnd + 2 <
FStar.Seq.Base.length #quad32 round_keys /\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32
round_keys (rnd + 1) /\ va_get_xmm 9 va_s0 == Vale.AES.AES_s.eval_rounds init0 round_keys rnd
/\ va_get_xmm 10 va_s0 == Vale.AES.AES_s.eval_rounds init1 round_keys rnd /\ va_get_xmm 11
va_s0 == Vale.AES.AES_s.eval_rounds init2 round_keys rnd /\ va_get_xmm 12 va_s0 ==
Vale.AES.AES_s.eval_rounds init3 round_keys rnd /\ va_get_xmm 13 va_s0 ==
Vale.AES.AES_s.eval_rounds init4 round_keys rnd /\ va_get_xmm 14 va_s0 ==
Vale.AES.AES_s.eval_rounds init5 round_keys rnd)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(va_get_xmm 9 va_sM == Vale.AES.AES_s.eval_rounds init0 round_keys (rnd + 1) /\ va_get_xmm 10
va_sM == Vale.AES.AES_s.eval_rounds init1 round_keys (rnd + 1) /\ va_get_xmm 11 va_sM ==
Vale.AES.AES_s.eval_rounds init2 round_keys (rnd + 1) /\ va_get_xmm 12 va_sM ==
Vale.AES.AES_s.eval_rounds init3 round_keys (rnd + 1) /\ va_get_xmm 13 va_sM ==
Vale.AES.AES_s.eval_rounds init4 round_keys (rnd + 1) /\ va_get_xmm 14 va_sM ==
Vale.AES.AES_s.eval_rounds init5 round_keys (rnd + 1) /\ va_get_xmm 15 va_sM ==
FStar.Seq.Base.index #quad32 round_keys (rnd + 2)) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM
(va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_ok va_sM
va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_AESNI_ctr32_6x_loop_body va_b0 va_s0 alg rnd key_words round_keys keys_b init0 init1
init2 init3 init4 init5 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm
12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_ok] in
let va_qc = va_qcode_AESNI_ctr32_6x_loop_body va_mods alg rnd key_words round_keys keys_b init0
init1 init2 init3 init4 init5 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_AESNI_ctr32_6x_loop_body alg rnd) va_qc
va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 1066 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ (label va_range1
"***** POSTCONDITION NOT MET AT line 1109 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 9 va_sM == Vale.AES.AES_s.eval_rounds init0 round_keys (rnd + 1)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 1110 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 10 va_sM == Vale.AES.AES_s.eval_rounds init1 round_keys (rnd + 1)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 1111 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 11 va_sM == Vale.AES.AES_s.eval_rounds init2 round_keys (rnd + 1)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 1112 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 12 va_sM == Vale.AES.AES_s.eval_rounds init3 round_keys (rnd + 1)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 1113 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 13 va_sM == Vale.AES.AES_s.eval_rounds init4 round_keys (rnd + 1)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 1114 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 14 va_sM == Vale.AES.AES_s.eval_rounds init5 round_keys (rnd + 1)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 1116 column 43 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 round_keys (rnd + 2)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12;
va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_ctr32_6x_loop_body (alg:algorithm) (rnd:nat) (key_words:(seq nat32))
(round_keys:(seq quad32)) (keys_b:buffer128) (init0:quad32) (init1:quad32) (init2:quad32)
(init3:quad32) (init4:quad32) (init5:quad32) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ aes_reqs_offset alg key_words round_keys keys_b (va_get_reg64
rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ rnd + 2 <
FStar.Seq.Base.length #quad32 round_keys /\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32
round_keys (rnd + 1) /\ va_get_xmm 9 va_s0 == Vale.AES.AES_s.eval_rounds init0 round_keys rnd
/\ va_get_xmm 10 va_s0 == Vale.AES.AES_s.eval_rounds init1 round_keys rnd /\ va_get_xmm 11
va_s0 == Vale.AES.AES_s.eval_rounds init2 round_keys rnd /\ va_get_xmm 12 va_s0 ==
Vale.AES.AES_s.eval_rounds init3 round_keys rnd /\ va_get_xmm 13 va_s0 ==
Vale.AES.AES_s.eval_rounds init4 round_keys rnd /\ va_get_xmm 14 va_s0 ==
Vale.AES.AES_s.eval_rounds init5 round_keys rnd) /\ (forall (va_x_xmm9:quad32)
(va_x_xmm10:quad32) (va_x_xmm11:quad32) (va_x_xmm12:quad32) (va_x_xmm13:quad32)
(va_x_xmm14:quad32) (va_x_xmm15:quad32) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags
va_x_efl (va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13 va_x_xmm13
(va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 9
va_x_xmm9 va_s0))))))) in va_get_ok va_sM /\ (va_get_xmm 9 va_sM == Vale.AES.AES_s.eval_rounds
init0 round_keys (rnd + 1) /\ va_get_xmm 10 va_sM == Vale.AES.AES_s.eval_rounds init1
round_keys (rnd + 1) /\ va_get_xmm 11 va_sM == Vale.AES.AES_s.eval_rounds init2 round_keys (rnd
+ 1) /\ va_get_xmm 12 va_sM == Vale.AES.AES_s.eval_rounds init3 round_keys (rnd + 1) /\
va_get_xmm 13 va_sM == Vale.AES.AES_s.eval_rounds init4 round_keys (rnd + 1) /\ va_get_xmm 14
va_sM == Vale.AES.AES_s.eval_rounds init5 round_keys (rnd + 1) /\ va_get_xmm 15 va_sM ==
FStar.Seq.Base.index #quad32 round_keys (rnd + 2)) ==> va_k va_sM (())))
val va_wpProof_AESNI_ctr32_6x_loop_body : alg:algorithm -> rnd:nat -> key_words:(seq nat32) ->
round_keys:(seq quad32) -> keys_b:buffer128 -> init0:quad32 -> init1:quad32 -> init2:quad32 ->
init3:quad32 -> init4:quad32 -> init5: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_AESNI_ctr32_6x_loop_body alg rnd key_words round_keys
keys_b init0 init1 init2 init3 init4 init5 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_ctr32_6x_loop_body alg rnd)
([va_Mod_flags; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11;
va_Mod_xmm 10; va_Mod_xmm 9]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_ctr32_6x_loop_body alg rnd key_words round_keys keys_b init0 init1 init2 init3
init4 init5 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_ctr32_6x_loop_body (va_code_AESNI_ctr32_6x_loop_body alg rnd)
va_s0 alg rnd key_words round_keys keys_b init0 init1 init2 init3 init4 init5 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM
(va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM
(va_update_xmm 9 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12;
va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AESNI_ctr32_6x_loop_body (alg:algorithm) (rnd:nat) (key_words:(seq nat32))
(round_keys:(seq quad32)) (keys_b:buffer128) (init0:quad32) (init1:quad32) (init2:quad32)
(init3:quad32) (init4:quad32) (init5:quad32) : (va_quickCode unit
(va_code_AESNI_ctr32_6x_loop_body alg rnd)) =
(va_QProc (va_code_AESNI_ctr32_6x_loop_body alg rnd) ([va_Mod_flags; va_Mod_xmm 15; va_Mod_xmm
14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9])
(va_wp_AESNI_ctr32_6x_loop_body alg rnd key_words round_keys keys_b init0 init1 init2 init3
init4 init5) (va_wpProof_AESNI_ctr32_6x_loop_body alg rnd key_words round_keys keys_b init0
init1 init2 init3 init4 init5))
//--
//-- AESNI_ctr32_6x_loop_recursive
val va_code_AESNI_ctr32_6x_loop_recursive : alg:algorithm -> rnd:nat -> Tot va_code(decreases
%[alg;rnd])
[@ "opaque_to_smt"]
let rec va_code_AESNI_ctr32_6x_loop_recursive alg rnd =
(va_Block (va_CCons (if (rnd > 0) then va_Block (va_CCons (va_code_AESNI_ctr32_6x_loop_recursive
alg (rnd - 1)) (va_CNil ())) else va_Block (va_CNil ())) (va_CCons
(va_code_AESNI_ctr32_6x_loop_body alg rnd) (va_CNil ()))))
val va_codegen_success_AESNI_ctr32_6x_loop_recursive : alg:algorithm -> rnd:nat -> Tot
va_pbool(decreases %[alg;rnd])
[@ "opaque_to_smt"]
let rec va_codegen_success_AESNI_ctr32_6x_loop_recursive alg rnd =
(va_pbool_and (if (rnd > 0) then va_pbool_and (va_codegen_success_AESNI_ctr32_6x_loop_recursive
alg (rnd - 1)) (va_ttrue ()) else va_ttrue ()) (va_pbool_and
(va_codegen_success_AESNI_ctr32_6x_loop_body alg rnd) (va_ttrue ())))
val va_lemma_AESNI_ctr32_6x_loop_recursive : va_b0:va_code -> va_s0:va_state -> alg:algorithm ->
rnd:nat -> key_words:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> init0:quad32
-> init1:quad32 -> init2:quad32 -> init3:quad32 -> init4:quad32 -> init5:quad32
-> Ghost (va_state & va_fuel)(decreases
%[va_b0;va_s0;alg;rnd;key_words;round_keys;keys_b;init0;init1;init2;init3;init4;init5])
(requires (va_require_total va_b0 (va_code_AESNI_ctr32_6x_loop_recursive alg rnd) va_s0 /\
va_get_ok va_s0 /\ (sse_enabled /\ aes_reqs_offset alg key_words round_keys keys_b
(va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ rnd + 2 <
FStar.Seq.Base.length #quad32 round_keys /\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32
round_keys 1 /\ va_get_xmm 9 va_s0 == Vale.AES.AES_s.eval_rounds init0 round_keys 0 /\
va_get_xmm 10 va_s0 == Vale.AES.AES_s.eval_rounds init1 round_keys 0 /\ va_get_xmm 11 va_s0 ==
Vale.AES.AES_s.eval_rounds init2 round_keys 0 /\ va_get_xmm 12 va_s0 ==
Vale.AES.AES_s.eval_rounds init3 round_keys 0 /\ va_get_xmm 13 va_s0 ==
Vale.AES.AES_s.eval_rounds init4 round_keys 0 /\ va_get_xmm 14 va_s0 ==
Vale.AES.AES_s.eval_rounds init5 round_keys 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(va_get_xmm 9 va_sM == Vale.AES.AES_s.eval_rounds init0 round_keys (rnd + 1) /\ va_get_xmm 10
va_sM == Vale.AES.AES_s.eval_rounds init1 round_keys (rnd + 1) /\ va_get_xmm 11 va_sM ==
Vale.AES.AES_s.eval_rounds init2 round_keys (rnd + 1) /\ va_get_xmm 12 va_sM ==
Vale.AES.AES_s.eval_rounds init3 round_keys (rnd + 1) /\ va_get_xmm 13 va_sM ==
Vale.AES.AES_s.eval_rounds init4 round_keys (rnd + 1) /\ va_get_xmm 14 va_sM ==
Vale.AES.AES_s.eval_rounds init5 round_keys (rnd + 1) /\ va_get_xmm 15 va_sM ==
FStar.Seq.Base.index #quad32 round_keys (rnd + 2)) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM
(va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_ok va_sM
va_s0)))))))))))
[@"opaque_to_smt"]
let rec va_lemma_AESNI_ctr32_6x_loop_recursive va_b0 va_s0 alg rnd key_words round_keys keys_b
init0 init1 init2 init3 init4 init5 =
va_reveal_opaque (`%va_code_AESNI_ctr32_6x_loop_recursive) (va_code_AESNI_ctr32_6x_loop_recursive
alg rnd);
let (va_old_s:va_state) = va_s0 in
let (va_b1:va_codes) = va_get_block va_b0 in
let va_b10 = va_tl va_b1 in
let va_c10 = va_hd va_b1 in
let (va_fc10, va_s10) =
(
if (rnd > 0) then
(
let va_b11 = va_get_block va_c10 in
let (va_s12, va_fc12) = va_lemma_AESNI_ctr32_6x_loop_recursive (va_hd va_b11) va_s0 alg (rnd
- 1) key_words round_keys keys_b init0 init1 init2 init3 init4 init5 in
let va_b12 = va_tl va_b11 in
let (va_s10, va_f12) = va_lemma_empty_total va_s12 va_b12 in
let va_fc10 = va_lemma_merge_total va_b11 va_s0 va_fc12 va_s12 va_f12 va_s10 in
(va_fc10, va_s10)
)
else
(
let va_b13 = va_get_block va_c10 in
let (va_s10, va_fc10) = va_lemma_empty_total va_s0 va_b13 in
(va_fc10, va_s10)
)
) in
let (va_s14, va_fc14) = va_lemma_AESNI_ctr32_6x_loop_body (va_hd va_b10) va_s10 alg rnd key_words
round_keys keys_b init0 init1 init2 init3 init4 init5 in
let va_b14 = va_tl va_b10 in
let (va_sM, va_f14) = va_lemma_empty_total va_s14 va_b14 in
let va_f10 = va_lemma_merge_total va_b10 va_s10 va_fc14 va_s14 va_f14 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc10 va_s10 va_f10 va_sM in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_ctr32_6x_loop_recursive (alg:algorithm) (rnd:nat) (key_words:(seq nat32))
(round_keys:(seq quad32)) (keys_b:buffer128) (init0:quad32) (init1:quad32) (init2:quad32)
(init3:quad32) (init4:quad32) (init5:quad32) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ aes_reqs_offset alg key_words round_keys keys_b (va_get_reg64
rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ rnd + 2 <
FStar.Seq.Base.length #quad32 round_keys /\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32
round_keys 1 /\ va_get_xmm 9 va_s0 == Vale.AES.AES_s.eval_rounds init0 round_keys 0 /\
va_get_xmm 10 va_s0 == Vale.AES.AES_s.eval_rounds init1 round_keys 0 /\ va_get_xmm 11 va_s0 ==
Vale.AES.AES_s.eval_rounds init2 round_keys 0 /\ va_get_xmm 12 va_s0 ==
Vale.AES.AES_s.eval_rounds init3 round_keys 0 /\ va_get_xmm 13 va_s0 ==
Vale.AES.AES_s.eval_rounds init4 round_keys 0 /\ va_get_xmm 14 va_s0 ==
Vale.AES.AES_s.eval_rounds init5 round_keys 0) /\ (forall (va_x_xmm9:quad32)
(va_x_xmm10:quad32) (va_x_xmm11:quad32) (va_x_xmm12:quad32) (va_x_xmm13:quad32)
(va_x_xmm14:quad32) (va_x_xmm15:quad32) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags
va_x_efl (va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13 va_x_xmm13
(va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 9
va_x_xmm9 va_s0))))))) in va_get_ok va_sM /\ (va_get_xmm 9 va_sM == Vale.AES.AES_s.eval_rounds
init0 round_keys (rnd + 1) /\ va_get_xmm 10 va_sM == Vale.AES.AES_s.eval_rounds init1
round_keys (rnd + 1) /\ va_get_xmm 11 va_sM == Vale.AES.AES_s.eval_rounds init2 round_keys (rnd
+ 1) /\ va_get_xmm 12 va_sM == Vale.AES.AES_s.eval_rounds init3 round_keys (rnd + 1) /\
va_get_xmm 13 va_sM == Vale.AES.AES_s.eval_rounds init4 round_keys (rnd + 1) /\ va_get_xmm 14
va_sM == Vale.AES.AES_s.eval_rounds init5 round_keys (rnd + 1) /\ va_get_xmm 15 va_sM ==
FStar.Seq.Base.index #quad32 round_keys (rnd + 2)) ==> va_k va_sM (())))
val va_wpProof_AESNI_ctr32_6x_loop_recursive : alg:algorithm -> rnd:nat -> key_words:(seq nat32) ->
round_keys:(seq quad32) -> keys_b:buffer128 -> init0:quad32 -> init1:quad32 -> init2:quad32 ->
init3:quad32 -> init4:quad32 -> init5: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_AESNI_ctr32_6x_loop_recursive alg rnd key_words round_keys
keys_b init0 init1 init2 init3 init4 init5 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_ctr32_6x_loop_recursive alg rnd)
([va_Mod_flags; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11;
va_Mod_xmm 10; va_Mod_xmm 9]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_ctr32_6x_loop_recursive alg rnd key_words round_keys keys_b init0 init1 init2
init3 init4 init5 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_ctr32_6x_loop_recursive
(va_code_AESNI_ctr32_6x_loop_recursive alg rnd) va_s0 alg rnd key_words round_keys keys_b init0
init1 init2 init3 init4 init5 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM
(va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM
(va_update_xmm 9 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12;
va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AESNI_ctr32_6x_loop_recursive (alg:algorithm) (rnd:nat) (key_words:(seq nat32))
(round_keys:(seq quad32)) (keys_b:buffer128) (init0:quad32) (init1:quad32) (init2:quad32)
(init3:quad32) (init4:quad32) (init5:quad32) : (va_quickCode unit
(va_code_AESNI_ctr32_6x_loop_recursive alg rnd)) =
(va_QProc (va_code_AESNI_ctr32_6x_loop_recursive alg rnd) ([va_Mod_flags; va_Mod_xmm 15;
va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9])
(va_wp_AESNI_ctr32_6x_loop_recursive alg rnd key_words round_keys keys_b init0 init1 init2
init3 init4 init5) (va_wpProof_AESNI_ctr32_6x_loop_recursive alg rnd key_words round_keys
keys_b init0 init1 init2 init3 init4 init5))
//--
//-- AESNI_ctr32_6x_round9
#push-options "--z3rlimit 100"
val va_code_AESNI_ctr32_6x_round9 : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_AESNI_ctr32_6x_round9 alg =
(va_Block (va_CCons (if (alg = AES_128) then va_Block (va_CCons (va_code_Load128_buffer
(va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 3) (va_op_reg_opr64_reg64 rRcx) (160 - 128)
Secret) (va_CNil ())) else va_Block (va_CCons (va_code_Load128_buffer
(va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 3) (va_op_reg_opr64_reg64 rRcx) (224 - 128)
Secret) (va_CNil ()))) (va_CCons (va_code_VAESNI_enc (va_op_xmm_xmm 9) (va_op_xmm_xmm 9)
(va_op_xmm_xmm 15)) (va_CCons (va_code_Mem128_lemma ()) (va_CCons (va_code_VPxor (va_op_xmm_xmm
4) (va_op_xmm_xmm 3) (va_opr_code_Mem128 (va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi)
0 Secret)) (va_CCons (va_code_VAESNI_enc (va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_xmm_xmm
15)) (va_CCons (va_code_Mem128_lemma ()) (va_CCons (va_code_VPxor (va_op_xmm_xmm 5)
(va_op_xmm_xmm 3) (va_opr_code_Mem128 (va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 16
Secret)) (va_CCons (va_code_VAESNI_enc (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_xmm_xmm
15)) (va_CCons (va_code_Mem128_lemma ()) (va_CCons (va_code_VPxor (va_op_xmm_xmm 6)
(va_op_xmm_xmm 3) (va_opr_code_Mem128 (va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 32
Secret)) (va_CCons (va_code_VAESNI_enc (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_xmm_xmm
15)) (va_CCons (va_code_Mem128_lemma ()) (va_CCons (va_code_VPxor (va_op_xmm_xmm 8)
(va_op_xmm_xmm 3) (va_opr_code_Mem128 (va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 48
Secret)) (va_CCons (va_code_VAESNI_enc (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_xmm_xmm
15)) (va_CCons (va_code_Mem128_lemma ()) (va_CCons (va_code_VPxor (va_op_xmm_xmm 2)
(va_op_xmm_xmm 3) (va_opr_code_Mem128 (va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 64
Secret)) (va_CCons (va_code_VAESNI_enc (va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_xmm_xmm
15)) (va_CCons (va_code_Mem128_lemma ()) (va_CCons (va_code_VPxor (va_op_xmm_xmm 3)
(va_op_xmm_xmm 3) (va_opr_code_Mem128 (va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 80
Secret)) (va_CCons (va_code_AddLea64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRdi)
(va_const_opr64 96)) (va_CNil ()))))))))))))))))))))))
val va_codegen_success_AESNI_ctr32_6x_round9 : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_AESNI_ctr32_6x_round9 alg =
(va_pbool_and (if (alg = AES_128) then va_pbool_and (va_codegen_success_Load128_buffer
(va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 3) (va_op_reg_opr64_reg64 rRcx) (160 - 128)
Secret) (va_ttrue ()) else va_pbool_and (va_codegen_success_Load128_buffer
(va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 3) (va_op_reg_opr64_reg64 rRcx) (224 - 128)
Secret) (va_ttrue ())) (va_pbool_and (va_codegen_success_VAESNI_enc (va_op_xmm_xmm 9)
(va_op_xmm_xmm 9) (va_op_xmm_xmm 15)) (va_pbool_and (va_codegen_success_Mem128_lemma ())
(va_pbool_and (va_codegen_success_VPxor (va_op_xmm_xmm 4) (va_op_xmm_xmm 3) (va_opr_code_Mem128
(va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 0 Secret)) (va_pbool_and
(va_codegen_success_VAESNI_enc (va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_xmm_xmm 15))
(va_pbool_and (va_codegen_success_Mem128_lemma ()) (va_pbool_and (va_codegen_success_VPxor
(va_op_xmm_xmm 5) (va_op_xmm_xmm 3) (va_opr_code_Mem128 (va_op_heaplet_mem_heaplet 6)
(va_op_reg64_reg64 rRdi) 16 Secret)) (va_pbool_and (va_codegen_success_VAESNI_enc
(va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_xmm_xmm 15)) (va_pbool_and
(va_codegen_success_Mem128_lemma ()) (va_pbool_and (va_codegen_success_VPxor (va_op_xmm_xmm 6)
(va_op_xmm_xmm 3) (va_opr_code_Mem128 (va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 32
Secret)) (va_pbool_and (va_codegen_success_VAESNI_enc (va_op_xmm_xmm 12) (va_op_xmm_xmm 12)
(va_op_xmm_xmm 15)) (va_pbool_and (va_codegen_success_Mem128_lemma ()) (va_pbool_and
(va_codegen_success_VPxor (va_op_xmm_xmm 8) (va_op_xmm_xmm 3) (va_opr_code_Mem128
(va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 48 Secret)) (va_pbool_and
(va_codegen_success_VAESNI_enc (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_xmm_xmm 15))
(va_pbool_and (va_codegen_success_Mem128_lemma ()) (va_pbool_and (va_codegen_success_VPxor
(va_op_xmm_xmm 2) (va_op_xmm_xmm 3) (va_opr_code_Mem128 (va_op_heaplet_mem_heaplet 6)
(va_op_reg64_reg64 rRdi) 64 Secret)) (va_pbool_and (va_codegen_success_VAESNI_enc
(va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_xmm_xmm 15)) (va_pbool_and
(va_codegen_success_Mem128_lemma ()) (va_pbool_and (va_codegen_success_VPxor (va_op_xmm_xmm 3)
(va_op_xmm_xmm 3) (va_opr_code_Mem128 (va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 80
Secret)) (va_pbool_and (va_codegen_success_AddLea64 (va_op_dst_opr64_reg64 rRdi)
(va_op_opr64_reg64 rRdi) (va_const_opr64 96)) (va_ttrue ())))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_AESNI_ctr32_6x_round9 (va_mods:va_mods_t) (alg:algorithm) (count:nat) (in_b:buffer128)
(key_words:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (init0:quad32)
(init1:quad32) (init2:quad32) (init3:quad32) (init4:quad32) (init5:quad32) : (va_quickCode unit
(va_code_AESNI_ctr32_6x_round9 alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 1260 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_qInlineIf va_mods (alg = AES_128) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1261 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 3) (va_op_reg_opr64_reg64
rRcx) (160 - 128) Secret keys_b 10) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) ->
va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1263 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 3) (va_op_reg_opr64_reg64
rRcx) (224 - 128) Secret keys_b 14) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1266 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VAESNI_enc (va_op_xmm_xmm 9) (va_op_xmm_xmm 9) (va_op_xmm_xmm 15)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1267 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Mem128_lemma (va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 0 Secret in_b
(count `op_Multiply` 6 + 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1267 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 4) (va_op_xmm_xmm 3) (va_opr_code_Mem128
(va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 0 Secret)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1268 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VAESNI_enc (va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_xmm_xmm 15)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1269 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Mem128_lemma (va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 16 Secret in_b
(count `op_Multiply` 6 + 1)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1269 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 5) (va_op_xmm_xmm 3) (va_opr_code_Mem128
(va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 16 Secret)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1270 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VAESNI_enc (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_xmm_xmm 15)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1271 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Mem128_lemma (va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 32 Secret in_b
(count `op_Multiply` 6 + 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 6) (va_op_xmm_xmm 3) (va_opr_code_Mem128
(va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 32 Secret)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1272 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VAESNI_enc (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_xmm_xmm 15)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1273 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Mem128_lemma (va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 48 Secret in_b
(count `op_Multiply` 6 + 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1273 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 8) (va_op_xmm_xmm 3) (va_opr_code_Mem128
(va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 48 Secret)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1274 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VAESNI_enc (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_xmm_xmm 15)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1275 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Mem128_lemma (va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 64 Secret in_b
(count `op_Multiply` 6 + 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1275 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 2) (va_op_xmm_xmm 3) (va_opr_code_Mem128
(va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 64 Secret)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1276 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VAESNI_enc (va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_xmm_xmm 15)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1277 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Mem128_lemma (va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 80 Secret in_b
(count `op_Multiply` 6 + 5)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 1277 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 3) (va_op_xmm_xmm 3) (va_opr_code_Mem128
(va_op_heaplet_mem_heaplet 6) (va_op_reg64_reg64 rRdi) 80 Secret)) (fun (va_s:va_state) _ ->
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1279 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_s.eval_rounds_reveal ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1280 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.commute_sub_bytes_shift_rows_forall ()) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRdi) (va_const_opr64 96))
(va_QEmpty (())))))))))))))))))))))))))
val va_lemma_AESNI_ctr32_6x_round9 : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> count:nat
-> in_b:buffer128 -> key_words:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 ->
init0:quad32 -> init1:quad32 -> init2:quad32 -> init3:quad32 -> init4:quad32 -> init5:quad32
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_ctr32_6x_round9 alg) va_s0 /\ va_get_ok va_s0 /\
(sse_enabled /\ Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rRdi va_s0) in_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret /\
va_get_reg64 rRdi va_s0 + 96 < pow2_64 /\ aes_reqs_offset alg key_words round_keys keys_b
(va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ va_get_xmm
15 va_s0 == FStar.Seq.Base.index #quad32 round_keys (Vale.AES.AES_common_s.nr alg - 1) /\
va_get_xmm 9 va_s0 == Vale.AES.AES_s.eval_rounds init0 round_keys (Vale.AES.AES_common_s.nr alg
- 2) /\ va_get_xmm 10 va_s0 == Vale.AES.AES_s.eval_rounds init1 round_keys
(Vale.AES.AES_common_s.nr alg - 2) /\ va_get_xmm 11 va_s0 == Vale.AES.AES_s.eval_rounds init2
round_keys (Vale.AES.AES_common_s.nr alg - 2) /\ va_get_xmm 12 va_s0 ==
Vale.AES.AES_s.eval_rounds init3 round_keys (Vale.AES.AES_common_s.nr alg - 2) /\ va_get_xmm 13
va_s0 == Vale.AES.AES_s.eval_rounds init4 round_keys (Vale.AES.AES_common_s.nr alg - 2) /\
va_get_xmm 14 va_s0 == Vale.AES.AES_s.eval_rounds init5 round_keys (Vale.AES.AES_common_s.nr
alg - 2))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(va_get_xmm 9 va_sM == Vale.AES.AES_s.eval_rounds init0 round_keys (Vale.AES.AES_common_s.nr
alg - 1) /\ va_get_xmm 10 va_sM == Vale.AES.AES_s.eval_rounds init1 round_keys
(Vale.AES.AES_common_s.nr alg - 1) /\ va_get_xmm 11 va_sM == Vale.AES.AES_s.eval_rounds init2
round_keys (Vale.AES.AES_common_s.nr alg - 1) /\ va_get_xmm 12 va_sM ==
Vale.AES.AES_s.eval_rounds init3 round_keys (Vale.AES.AES_common_s.nr alg - 1) /\ va_get_xmm 13
va_sM == Vale.AES.AES_s.eval_rounds init4 round_keys (Vale.AES.AES_common_s.nr alg - 1) /\
va_get_xmm 14 va_sM == Vale.AES.AES_s.eval_rounds init5 round_keys (Vale.AES.AES_common_s.nr
alg - 1) /\ (let rk = FStar.Seq.Base.index #quad32 round_keys (Vale.AES.AES_common_s.nr alg) in
va_get_xmm 4 va_sM == Vale.Def.Types_s.quad32_xor rk (Vale.X64.Decls.buffer128_read in_b (count
`op_Multiply` 6 + 0) (va_get_mem_heaplet 6 va_sM)) /\ va_get_xmm 5 va_sM ==
Vale.Def.Types_s.quad32_xor rk (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 1)
(va_get_mem_heaplet 6 va_sM)) /\ va_get_xmm 6 va_sM == Vale.Def.Types_s.quad32_xor rk
(Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 2) (va_get_mem_heaplet 6 va_sM))
/\ va_get_xmm 8 va_sM == Vale.Def.Types_s.quad32_xor rk (Vale.X64.Decls.buffer128_read in_b
(count `op_Multiply` 6 + 3) (va_get_mem_heaplet 6 va_sM)) /\ va_get_xmm 2 va_sM ==
Vale.Def.Types_s.quad32_xor rk (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 4)
(va_get_mem_heaplet 6 va_sM)) /\ va_get_xmm 3 va_sM == Vale.Def.Types_s.quad32_xor rk
(Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 5) (va_get_mem_heaplet 6 va_sM))
/\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 + 96)) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM
(va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 9 va_sM
(va_update_xmm 8 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM
(va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_reg64 rRdi va_sM (va_update_ok va_sM
va_s0))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_AESNI_ctr32_6x_round9 va_b0 va_s0 alg count in_b key_words round_keys keys_b init0
init1 init2 init3 init4 init5 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm
12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_reg64 rRdi; va_Mod_ok] in
let va_qc = va_qcode_AESNI_ctr32_6x_round9 va_mods alg count in_b key_words round_keys keys_b
init0 init1 init2 init3 init4 init5 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_AESNI_ctr32_6x_round9 alg) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 1191 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ (label va_range1
"***** POSTCONDITION NOT MET AT line 1243 column 66 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 9 va_sM == Vale.AES.AES_s.eval_rounds init0 round_keys (Vale.AES.AES_common_s.nr
alg - 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1244 column 66 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 10 va_sM == Vale.AES.AES_s.eval_rounds init1 round_keys (Vale.AES.AES_common_s.nr
alg - 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1245 column 66 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 11 va_sM == Vale.AES.AES_s.eval_rounds init2 round_keys (Vale.AES.AES_common_s.nr
alg - 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1246 column 66 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 12 va_sM == Vale.AES.AES_s.eval_rounds init3 round_keys (Vale.AES.AES_common_s.nr
alg - 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1247 column 66 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 13 va_sM == Vale.AES.AES_s.eval_rounds init4 round_keys (Vale.AES.AES_common_s.nr
alg - 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1248 column 66 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 14 va_sM == Vale.AES.AES_s.eval_rounds init5 round_keys (Vale.AES.AES_common_s.nr
alg - 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1250 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(let rk = FStar.Seq.Base.index #quad32 round_keys (Vale.AES.AES_common_s.nr alg) in label
va_range1
"***** POSTCONDITION NOT MET AT line 1251 column 73 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 4 va_sM == Vale.Def.Types_s.quad32_xor rk (Vale.X64.Decls.buffer128_read in_b
(count `op_Multiply` 6 + 0) (va_get_mem_heaplet 6 va_sM))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1252 column 73 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 5 va_sM == Vale.Def.Types_s.quad32_xor rk (Vale.X64.Decls.buffer128_read in_b
(count `op_Multiply` 6 + 1) (va_get_mem_heaplet 6 va_sM))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1253 column 73 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 6 va_sM == Vale.Def.Types_s.quad32_xor rk (Vale.X64.Decls.buffer128_read in_b
(count `op_Multiply` 6 + 2) (va_get_mem_heaplet 6 va_sM))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1254 column 73 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 8 va_sM == Vale.Def.Types_s.quad32_xor rk (Vale.X64.Decls.buffer128_read in_b
(count `op_Multiply` 6 + 3) (va_get_mem_heaplet 6 va_sM))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1255 column 73 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Types_s.quad32_xor rk (Vale.X64.Decls.buffer128_read in_b
(count `op_Multiply` 6 + 4) (va_get_mem_heaplet 6 va_sM))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1256 column 73 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 3 va_sM == Vale.Def.Types_s.quad32_xor rk (Vale.X64.Decls.buffer128_read in_b
(count `op_Multiply` 6 + 5) (va_get_mem_heaplet 6 va_sM))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1258 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 + 96)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12;
va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_reg64 rRdi; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_ctr32_6x_round9 (alg:algorithm) (count:nat) (in_b:buffer128) (key_words:(seq
nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (init0:quad32) (init1:quad32) (init2:quad32)
(init3:quad32) (init4:quad32) (init5:quad32) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_s0) (va_get_reg64 rRdi va_s0) in_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0)
Secret /\ va_get_reg64 rRdi va_s0 + 96 < pow2_64 /\ aes_reqs_offset alg key_words round_keys
keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\
va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32 round_keys (Vale.AES.AES_common_s.nr alg -
1) /\ va_get_xmm 9 va_s0 == Vale.AES.AES_s.eval_rounds init0 round_keys
(Vale.AES.AES_common_s.nr alg - 2) /\ va_get_xmm 10 va_s0 == Vale.AES.AES_s.eval_rounds init1
round_keys (Vale.AES.AES_common_s.nr alg - 2) /\ va_get_xmm 11 va_s0 ==
Vale.AES.AES_s.eval_rounds init2 round_keys (Vale.AES.AES_common_s.nr alg - 2) /\ va_get_xmm 12
va_s0 == Vale.AES.AES_s.eval_rounds init3 round_keys (Vale.AES.AES_common_s.nr alg - 2) /\
va_get_xmm 13 va_s0 == Vale.AES.AES_s.eval_rounds init4 round_keys (Vale.AES.AES_common_s.nr
alg - 2) /\ va_get_xmm 14 va_s0 == Vale.AES.AES_s.eval_rounds init5 round_keys
(Vale.AES.AES_common_s.nr alg - 2)) /\ (forall (va_x_rdi:nat64) (va_x_xmm2:quad32)
(va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32) (va_x_xmm8:quad32)
(va_x_xmm9:quad32) (va_x_xmm10:quad32) (va_x_xmm11:quad32) (va_x_xmm12:quad32)
(va_x_xmm13:quad32) (va_x_xmm14:quad32) (va_x_xmm15:quad32) (va_x_efl:Vale.X64.Flags.t) . let
va_sM = va_upd_flags va_x_efl (va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14 va_x_xmm14 (va_upd_xmm
13 va_x_xmm13 (va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10 va_x_xmm10
(va_upd_xmm 9 va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5 va_x_xmm5
(va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2 (va_upd_reg64 rRdi
va_x_rdi va_s0)))))))))))))) in va_get_ok va_sM /\ (va_get_xmm 9 va_sM ==
Vale.AES.AES_s.eval_rounds init0 round_keys (Vale.AES.AES_common_s.nr alg - 1) /\ va_get_xmm 10
va_sM == Vale.AES.AES_s.eval_rounds init1 round_keys (Vale.AES.AES_common_s.nr alg - 1) /\
va_get_xmm 11 va_sM == Vale.AES.AES_s.eval_rounds init2 round_keys (Vale.AES.AES_common_s.nr
alg - 1) /\ va_get_xmm 12 va_sM == Vale.AES.AES_s.eval_rounds init3 round_keys
(Vale.AES.AES_common_s.nr alg - 1) /\ va_get_xmm 13 va_sM == Vale.AES.AES_s.eval_rounds init4
round_keys (Vale.AES.AES_common_s.nr alg - 1) /\ va_get_xmm 14 va_sM ==
Vale.AES.AES_s.eval_rounds init5 round_keys (Vale.AES.AES_common_s.nr alg - 1) /\ (let rk =
FStar.Seq.Base.index #quad32 round_keys (Vale.AES.AES_common_s.nr alg) in va_get_xmm 4 va_sM ==
Vale.Def.Types_s.quad32_xor rk (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 0)
(va_get_mem_heaplet 6 va_sM)) /\ va_get_xmm 5 va_sM == Vale.Def.Types_s.quad32_xor rk
(Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 1) (va_get_mem_heaplet 6 va_sM))
/\ va_get_xmm 6 va_sM == Vale.Def.Types_s.quad32_xor rk (Vale.X64.Decls.buffer128_read in_b
(count `op_Multiply` 6 + 2) (va_get_mem_heaplet 6 va_sM)) /\ va_get_xmm 8 va_sM ==
Vale.Def.Types_s.quad32_xor rk (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 3)
(va_get_mem_heaplet 6 va_sM)) /\ va_get_xmm 2 va_sM == Vale.Def.Types_s.quad32_xor rk
(Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 4) (va_get_mem_heaplet 6 va_sM))
/\ va_get_xmm 3 va_sM == Vale.Def.Types_s.quad32_xor rk (Vale.X64.Decls.buffer128_read in_b
(count `op_Multiply` 6 + 5) (va_get_mem_heaplet 6 va_sM)) /\ va_get_reg64 rRdi va_sM ==
va_get_reg64 rRdi va_s0 + 96)) ==> va_k va_sM (())))
val va_wpProof_AESNI_ctr32_6x_round9 : alg:algorithm -> count:nat -> in_b:buffer128 ->
key_words:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> init0:quad32 ->
init1:quad32 -> init2:quad32 -> init3:quad32 -> init4:quad32 -> init5: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_AESNI_ctr32_6x_round9 alg count in_b key_words round_keys
keys_b init0 init1 init2 init3 init4 init5 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_ctr32_6x_round9 alg)
([va_Mod_flags; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11;
va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm
3; va_Mod_xmm 2; va_Mod_reg64 rRdi]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_ctr32_6x_round9 alg count in_b key_words round_keys keys_b init0 init1 init2
init3 init4 init5 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_ctr32_6x_round9 (va_code_AESNI_ctr32_6x_round9 alg) va_s0 alg
count in_b key_words round_keys keys_b init0 init1 init2 init3 init4 init5 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM
(va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM
(va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM
(va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_reg64 rRdi
va_sM (va_update_ok va_sM va_s0)))))))))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12;
va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_reg64 rRdi]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AESNI_ctr32_6x_round9 (alg:algorithm) (count:nat) (in_b:buffer128) (key_words:(seq
nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (init0:quad32) (init1:quad32) (init2:quad32)
(init3:quad32) (init4:quad32) (init5:quad32) : (va_quickCode unit (va_code_AESNI_ctr32_6x_round9
alg)) =
(va_QProc (va_code_AESNI_ctr32_6x_round9 alg) ([va_Mod_flags; va_Mod_xmm 15; va_Mod_xmm 14;
va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8;
va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_reg64 rRdi])
(va_wp_AESNI_ctr32_6x_round9 alg count in_b key_words round_keys keys_b init0 init1 init2 init3
init4 init5) (va_wpProof_AESNI_ctr32_6x_round9 alg count in_b key_words round_keys keys_b init0
init1 init2 init3 init4 init5))
#pop-options
//--
//-- AESNI_ctr32_6x_final
val va_code_AESNI_ctr32_6x_final : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_AESNI_ctr32_6x_final alg =
(va_Block (va_CCons (va_code_VAESNI_enc_last (va_op_xmm_xmm 9) (va_op_xmm_xmm 9) (va_op_xmm_xmm
4)) (va_CCons (va_code_VAESNI_enc_last (va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_xmm_xmm 5))
(va_CCons (va_code_VAESNI_enc_last (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_xmm_xmm 6))
(va_CCons (va_code_VAESNI_enc_last (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_xmm_xmm 8))
(va_CCons (va_code_VAESNI_enc_last (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_xmm_xmm 2))
(va_CCons (va_code_VAESNI_enc_last (va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_xmm_xmm 3))
(va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 9) 0 Secret) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 6)
(va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 10) 16 Secret) (va_CCons (va_code_Store128_buffer
(va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 11) 32 Secret)
(va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 12) 48 Secret) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 6)
(va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 13) 64 Secret) (va_CCons (va_code_Store128_buffer
(va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 14) 80 Secret)
(va_CCons (va_code_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi)
(va_const_opr64 96)) (va_CNil ())))))))))))))))
val va_codegen_success_AESNI_ctr32_6x_final : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_AESNI_ctr32_6x_final alg =
(va_pbool_and (va_codegen_success_VAESNI_enc_last (va_op_xmm_xmm 9) (va_op_xmm_xmm 9)
(va_op_xmm_xmm 4)) (va_pbool_and (va_codegen_success_VAESNI_enc_last (va_op_xmm_xmm 10)
(va_op_xmm_xmm 10) (va_op_xmm_xmm 5)) (va_pbool_and (va_codegen_success_VAESNI_enc_last
(va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_xmm_xmm 6)) (va_pbool_and
(va_codegen_success_VAESNI_enc_last (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_xmm_xmm 8))
(va_pbool_and (va_codegen_success_VAESNI_enc_last (va_op_xmm_xmm 13) (va_op_xmm_xmm 13)
(va_op_xmm_xmm 2)) (va_pbool_and (va_codegen_success_VAESNI_enc_last (va_op_xmm_xmm 14)
(va_op_xmm_xmm 14) (va_op_xmm_xmm 3)) (va_pbool_and (va_codegen_success_Store128_buffer
(va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 9) 0 Secret)
(va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 6)
(va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 10) 16 Secret) (va_pbool_and
(va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 11) 32 Secret) (va_pbool_and (va_codegen_success_Store128_buffer
(va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 12) 48 Secret)
(va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 6)
(va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 13) 64 Secret) (va_pbool_and
(va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 14) 80 Secret) (va_pbool_and (va_codegen_success_AddLea64 (va_op_dst_opr64_reg64
rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 96)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_AESNI_ctr32_6x_final (va_mods:va_mods_t) (alg:algorithm) (count:nat) (out_b:buffer128)
(key_words:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (init0:quad32)
(init1:quad32) (init2:quad32) (init3:quad32) (init4:quad32) (init5:quad32) (ctr0:quad32)
(ctr1:quad32) (ctr2:quad32) (ctr3:quad32) (ctr4:quad32) (ctr5:quad32) (plain0:quad32)
(plain1:quad32) (plain2:quad32) (plain3:quad32) (plain4:quad32) (plain5:quad32) : (va_quickCode
unit (va_code_AESNI_ctr32_6x_final alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1381 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VAESNI_enc_last (va_op_xmm_xmm 9) (va_op_xmm_xmm 9) (va_op_xmm_xmm 4)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1382 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VAESNI_enc_last (va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_xmm_xmm 5)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1383 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VAESNI_enc_last (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_xmm_xmm 6)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1384 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VAESNI_enc_last (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_xmm_xmm 8)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1385 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VAESNI_enc_last (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_xmm_xmm 2)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1386 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VAESNI_enc_last (va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_xmm_xmm 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 1388 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 9) 0 Secret out_b (count `op_Multiply` 6 + 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1389 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 10) 16 Secret out_b (count `op_Multiply` 6 + 1)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1390 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 11) 32 Secret out_b (count `op_Multiply` 6 + 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1391 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 12) 48 Secret out_b (count `op_Multiply` 6 + 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1392 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 13) 64 Secret out_b (count `op_Multiply` 6 + 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1393 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 14) 80 Secret out_b (count `op_Multiply` 6 + 5)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 1395 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 96))
(fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1397 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes_forall ()) (let
(va_arg84:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = round_keys in let
(va_arg83:Vale.Def.Types_s.quad32) = va_get_xmm 9 va_s in let
(va_arg82:Vale.Def.Types_s.quad32) = va_get_xmm 9 va_old_s in let
(va_arg81:Vale.Def.Types_s.quad32) = init0 in let (va_arg80:Vale.Def.Types_s.quad32) = plain0
in let (va_arg79:Vale.Def.Types_s.quad32) = ctr0 in let
(va_arg78:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1398 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.finish_cipher_opt va_arg78 va_arg79 va_arg80 va_arg81
va_arg82 va_arg83 va_arg84) (let (va_arg77:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) =
round_keys in let (va_arg76:Vale.Def.Types_s.quad32) = va_get_xmm 10 va_s in let
(va_arg75:Vale.Def.Types_s.quad32) = va_get_xmm 10 va_old_s in let
(va_arg74:Vale.Def.Types_s.quad32) = init1 in let (va_arg73:Vale.Def.Types_s.quad32) = plain1
in let (va_arg72:Vale.Def.Types_s.quad32) = ctr1 in let
(va_arg71:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1399 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.finish_cipher_opt va_arg71 va_arg72 va_arg73 va_arg74
va_arg75 va_arg76 va_arg77) (let (va_arg70:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) =
round_keys in let (va_arg69:Vale.Def.Types_s.quad32) = va_get_xmm 11 va_s in let
(va_arg68:Vale.Def.Types_s.quad32) = va_get_xmm 11 va_old_s in let
(va_arg67:Vale.Def.Types_s.quad32) = init2 in let (va_arg66:Vale.Def.Types_s.quad32) = plain2
in let (va_arg65:Vale.Def.Types_s.quad32) = ctr2 in let
(va_arg64:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1400 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.finish_cipher_opt va_arg64 va_arg65 va_arg66 va_arg67
va_arg68 va_arg69 va_arg70) (let (va_arg63:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) =
round_keys in let (va_arg62:Vale.Def.Types_s.quad32) = va_get_xmm 12 va_s in let
(va_arg61:Vale.Def.Types_s.quad32) = va_get_xmm 12 va_old_s in let
(va_arg60:Vale.Def.Types_s.quad32) = init3 in let (va_arg59:Vale.Def.Types_s.quad32) = plain3
in let (va_arg58:Vale.Def.Types_s.quad32) = ctr3 in let
(va_arg57:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1401 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.finish_cipher_opt va_arg57 va_arg58 va_arg59 va_arg60
va_arg61 va_arg62 va_arg63) (let (va_arg56:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) =
round_keys in let (va_arg55:Vale.Def.Types_s.quad32) = va_get_xmm 13 va_s in let
(va_arg54:Vale.Def.Types_s.quad32) = va_get_xmm 13 va_old_s in let
(va_arg53:Vale.Def.Types_s.quad32) = init4 in let (va_arg52:Vale.Def.Types_s.quad32) = plain4
in let (va_arg51:Vale.Def.Types_s.quad32) = ctr4 in let
(va_arg50:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1402 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.finish_cipher_opt va_arg50 va_arg51 va_arg52 va_arg53
va_arg54 va_arg55 va_arg56) (let (va_arg49:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) =
round_keys in let (va_arg48:Vale.Def.Types_s.quad32) = va_get_xmm 14 va_s in let
(va_arg47:Vale.Def.Types_s.quad32) = va_get_xmm 14 va_old_s in let
(va_arg46:Vale.Def.Types_s.quad32) = init5 in let (va_arg45:Vale.Def.Types_s.quad32) = plain5
in let (va_arg44:Vale.Def.Types_s.quad32) = ctr5 in let
(va_arg43:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1403 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.finish_cipher_opt va_arg43 va_arg44 va_arg45 va_arg46
va_arg47 va_arg48 va_arg49) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 1404 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
((fun (alg:algorithm) (input_LE:quad32) (key:(seq nat32)) -> Vale.AES.AES_s.is_aes_key_LE alg
key) alg ctr0 key_words) (fun _ -> (fun (alg:algorithm) (input_LE:quad32) (key:(seq nat32)) ->
Vale.AES.AES_s.aes_encrypt_LE alg key input_LE == Vale.AES.AES_s.eval_cipher alg input_LE
(Vale.AES.AES_s.key_to_round_keys_LE alg key)) alg ctr0 key_words) (fun (_:unit) ->
finish_aes_encrypt_le alg ctr0 key_words) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 1405 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
((fun (alg:algorithm) (input_LE:quad32) (key:(seq nat32)) -> Vale.AES.AES_s.is_aes_key_LE alg
key) alg ctr1 key_words) (fun _ -> (fun (alg:algorithm) (input_LE:quad32) (key:(seq nat32)) ->
Vale.AES.AES_s.aes_encrypt_LE alg key input_LE == Vale.AES.AES_s.eval_cipher alg input_LE
(Vale.AES.AES_s.key_to_round_keys_LE alg key)) alg ctr1 key_words) (fun (_:unit) ->
finish_aes_encrypt_le alg ctr1 key_words) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 1406 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
((fun (alg:algorithm) (input_LE:quad32) (key:(seq nat32)) -> Vale.AES.AES_s.is_aes_key_LE alg
key) alg ctr2 key_words) (fun _ -> (fun (alg:algorithm) (input_LE:quad32) (key:(seq nat32)) ->
Vale.AES.AES_s.aes_encrypt_LE alg key input_LE == Vale.AES.AES_s.eval_cipher alg input_LE
(Vale.AES.AES_s.key_to_round_keys_LE alg key)) alg ctr2 key_words) (fun (_:unit) ->
finish_aes_encrypt_le alg ctr2 key_words) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 1407 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
((fun (alg:algorithm) (input_LE:quad32) (key:(seq nat32)) -> Vale.AES.AES_s.is_aes_key_LE alg
key) alg ctr3 key_words) (fun _ -> (fun (alg:algorithm) (input_LE:quad32) (key:(seq nat32)) ->
Vale.AES.AES_s.aes_encrypt_LE alg key input_LE == Vale.AES.AES_s.eval_cipher alg input_LE
(Vale.AES.AES_s.key_to_round_keys_LE alg key)) alg ctr3 key_words) (fun (_:unit) ->
finish_aes_encrypt_le alg ctr3 key_words) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 1408 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
((fun (alg:algorithm) (input_LE:quad32) (key:(seq nat32)) -> Vale.AES.AES_s.is_aes_key_LE alg
key) alg ctr4 key_words) (fun _ -> (fun (alg:algorithm) (input_LE:quad32) (key:(seq nat32)) ->
Vale.AES.AES_s.aes_encrypt_LE alg key input_LE == Vale.AES.AES_s.eval_cipher alg input_LE
(Vale.AES.AES_s.key_to_round_keys_LE alg key)) alg ctr4 key_words) (fun (_:unit) ->
finish_aes_encrypt_le alg ctr4 key_words) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 1409 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
((fun (alg:algorithm) (input_LE:quad32) (key:(seq nat32)) -> Vale.AES.AES_s.is_aes_key_LE alg
key) alg ctr5 key_words) (fun _ -> (fun (alg:algorithm) (input_LE:quad32) (key:(seq nat32)) ->
Vale.AES.AES_s.aes_encrypt_LE alg key input_LE == Vale.AES.AES_s.eval_cipher alg input_LE
(Vale.AES.AES_s.key_to_round_keys_LE alg key)) alg ctr5 key_words) (fun (_:unit) ->
finish_aes_encrypt_le alg ctr5 key_words) (va_QEmpty (())))))))))))))))))))))))))))))
val va_lemma_AESNI_ctr32_6x_final : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> count:nat
-> out_b:buffer128 -> key_words:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 ->
init0:quad32 -> init1:quad32 -> init2:quad32 -> init3:quad32 -> init4:quad32 -> init5:quad32 ->
ctr0:quad32 -> ctr1:quad32 -> ctr2:quad32 -> ctr3:quad32 -> ctr4:quad32 -> ctr5:quad32 ->
plain0:quad32 -> plain1:quad32 -> plain2:quad32 -> plain3:quad32 -> plain4:quad32 -> plain5:quad32
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_ctr32_6x_final alg) va_s0 /\ va_get_ok va_s0 /\
(sse_enabled /\ Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rRsi va_s0) out_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret /\
va_get_reg64 rRsi va_s0 + 96 < pow2_64 /\ aes_reqs_offset alg key_words round_keys keys_b
(va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ init0 ==
Vale.Def.Types_s.quad32_xor ctr0 (FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)
/\ init1 == Vale.Def.Types_s.quad32_xor ctr1 (FStar.Seq.Base.index #Vale.Def.Types_s.quad32
round_keys 0) /\ init2 == Vale.Def.Types_s.quad32_xor ctr2 (FStar.Seq.Base.index
#Vale.Def.Types_s.quad32 round_keys 0) /\ init3 == Vale.Def.Types_s.quad32_xor ctr3
(FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0) /\ init4 ==
Vale.Def.Types_s.quad32_xor ctr4 (FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)
/\ init5 == Vale.Def.Types_s.quad32_xor ctr5 (FStar.Seq.Base.index #Vale.Def.Types_s.quad32
round_keys 0) /\ va_get_xmm 9 va_s0 == Vale.AES.AES_s.eval_rounds init0 round_keys
(Vale.AES.AES_common_s.nr alg - 1) /\ va_get_xmm 10 va_s0 == Vale.AES.AES_s.eval_rounds init1
round_keys (Vale.AES.AES_common_s.nr alg - 1) /\ va_get_xmm 11 va_s0 ==
Vale.AES.AES_s.eval_rounds init2 round_keys (Vale.AES.AES_common_s.nr alg - 1) /\ va_get_xmm 12
va_s0 == Vale.AES.AES_s.eval_rounds init3 round_keys (Vale.AES.AES_common_s.nr alg - 1) /\
va_get_xmm 13 va_s0 == Vale.AES.AES_s.eval_rounds init4 round_keys (Vale.AES.AES_common_s.nr
alg - 1) /\ va_get_xmm 14 va_s0 == Vale.AES.AES_s.eval_rounds init5 round_keys
(Vale.AES.AES_common_s.nr alg - 1) /\ (let rk = FStar.Seq.Base.index #quad32 round_keys
(Vale.AES.AES_common_s.nr alg) in va_get_xmm 4 va_s0 == Vale.Def.Types_s.quad32_xor rk plain0
/\ va_get_xmm 5 va_s0 == Vale.Def.Types_s.quad32_xor rk plain1 /\ va_get_xmm 6 va_s0 ==
Vale.Def.Types_s.quad32_xor rk plain2 /\ va_get_xmm 8 va_s0 == Vale.Def.Types_s.quad32_xor rk
plain3 /\ va_get_xmm 2 va_s0 == Vale.Def.Types_s.quad32_xor rk plain4 /\ va_get_xmm 3 va_s0 ==
Vale.Def.Types_s.quad32_xor rk plain5))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(Vale.X64.Decls.modifies_buffer_specific128 out_b (va_get_mem_heaplet 6 va_s0)
(va_get_mem_heaplet 6 va_sM) (count `op_Multiply` 6 + 0) (count `op_Multiply` 6 + 5) /\
FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
out_b) 0 (6 `op_Multiply` count) == FStar.Seq.Base.slice #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) out_b) 0 (6 `op_Multiply` count) /\
va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + 96 /\ Vale.X64.Decls.buffer128_read out_b
(count `op_Multiply` 6 + 0) (va_get_mem_heaplet 6 va_sM) == va_get_xmm 9 va_sM /\
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 1) (va_get_mem_heaplet 6 va_sM) ==
va_get_xmm 10 va_sM /\ Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 2)
(va_get_mem_heaplet 6 va_sM) == va_get_xmm 11 va_sM /\ Vale.X64.Decls.buffer128_read out_b
(count `op_Multiply` 6 + 3) (va_get_mem_heaplet 6 va_sM) == va_get_xmm 12 va_sM /\
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 4) (va_get_mem_heaplet 6 va_sM) ==
va_get_xmm 13 va_sM /\ Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 5)
(va_get_mem_heaplet 6 va_sM) == va_get_xmm 14 va_sM /\ va_get_xmm 9 va_sM ==
Vale.Def.Types_s.quad32_xor plain0 (Vale.AES.AES_s.aes_encrypt_LE alg key_words ctr0) /\
va_get_xmm 10 va_sM == Vale.Def.Types_s.quad32_xor plain1 (Vale.AES.AES_s.aes_encrypt_LE alg
key_words ctr1) /\ va_get_xmm 11 va_sM == Vale.Def.Types_s.quad32_xor plain2
(Vale.AES.AES_s.aes_encrypt_LE alg key_words ctr2) /\ va_get_xmm 12 va_sM ==
Vale.Def.Types_s.quad32_xor plain3 (Vale.AES.AES_s.aes_encrypt_LE alg key_words ctr3) /\
va_get_xmm 13 va_sM == Vale.Def.Types_s.quad32_xor plain4 (Vale.AES.AES_s.aes_encrypt_LE alg
key_words ctr4) /\ va_get_xmm 14 va_sM == Vale.Def.Types_s.quad32_xor plain5
(Vale.AES.AES_s.aes_encrypt_LE alg key_words ctr5)) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_mem_heaplet 6 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm
13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm
9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4
va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_reg64 rRsi va_sM (va_update_ok
va_sM (va_update_mem va_sM va_s0))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_AESNI_ctr32_6x_final va_b0 va_s0 alg count out_b key_words round_keys keys_b init0
init1 init2 init3 init4 init5 ctr0 ctr1 ctr2 ctr3 ctr4 ctr5 plain0 plain1 plain2 plain3 plain4
plain5 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14;
va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8;
va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_reg64 rRsi;
va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_AESNI_ctr32_6x_final va_mods alg count out_b key_words round_keys keys_b
init0 init1 init2 init3 init4 init5 ctr0 ctr1 ctr2 ctr3 ctr4 ctr5 plain0 plain1 plain2 plain3
plain4 plain5 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_AESNI_ctr32_6x_final alg) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 1285 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ (label va_range1
"***** POSTCONDITION NOT MET AT line 1362 column 84 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 out_b (va_get_mem_heaplet 6 va_s0)
(va_get_mem_heaplet 6 va_sM) (count `op_Multiply` 6 + 0) (count `op_Multiply` 6 + 5)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 1363 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
out_b) 0 (6 `op_Multiply` count) == FStar.Seq.Base.slice #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) out_b) 0 (6 `op_Multiply` count)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 1364 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + 96) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1366 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 0) (va_get_mem_heaplet 6 va_sM)
== va_get_xmm 9 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1367 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 1) (va_get_mem_heaplet 6 va_sM)
== va_get_xmm 10 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1368 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 2) (va_get_mem_heaplet 6 va_sM)
== va_get_xmm 11 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1369 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 3) (va_get_mem_heaplet 6 va_sM)
== va_get_xmm 12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1370 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 4) (va_get_mem_heaplet 6 va_sM)
== va_get_xmm 13 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1371 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 5) (va_get_mem_heaplet 6 va_sM)
== va_get_xmm 14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1373 column 75 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor plain0 (Vale.AES.AES_s.aes_encrypt_LE alg
key_words ctr0)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1374 column 75 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 10 va_sM == Vale.Def.Types_s.quad32_xor plain1 (Vale.AES.AES_s.aes_encrypt_LE alg
key_words ctr1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1375 column 75 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 11 va_sM == Vale.Def.Types_s.quad32_xor plain2 (Vale.AES.AES_s.aes_encrypt_LE alg
key_words ctr2)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1376 column 75 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 12 va_sM == Vale.Def.Types_s.quad32_xor plain3 (Vale.AES.AES_s.aes_encrypt_LE alg
key_words ctr3)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1377 column 75 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 13 va_sM == Vale.Def.Types_s.quad32_xor plain4 (Vale.AES.AES_s.aes_encrypt_LE alg
key_words ctr4)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1378 column 75 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 14 va_sM == Vale.Def.Types_s.quad32_xor plain5 (Vale.AES.AES_s.aes_encrypt_LE alg
key_words ctr5)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm
13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 6;
va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_reg64 rRsi; va_Mod_ok;
va_Mod_mem]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_ctr32_6x_final (alg:algorithm) (count:nat) (out_b:buffer128) (key_words:(seq
nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (init0:quad32) (init1:quad32) (init2:quad32)
(init3:quad32) (init4:quad32) (init5:quad32) (ctr0:quad32) (ctr1:quad32) (ctr2:quad32)
(ctr3:quad32) (ctr4:quad32) (ctr5:quad32) (plain0:quad32) (plain1:quad32) (plain2:quad32)
(plain3:quad32) (plain4:quad32) (plain5:quad32) (va_s0:va_state) (va_k:(va_state -> unit ->
Type0)) : Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6
va_s0) (va_get_reg64 rRsi va_s0) out_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0)
Secret /\ va_get_reg64 rRsi va_s0 + 96 < pow2_64 /\ aes_reqs_offset alg key_words round_keys
keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\
init0 == Vale.Def.Types_s.quad32_xor ctr0 (FStar.Seq.Base.index #Vale.Def.Types_s.quad32
round_keys 0) /\ init1 == Vale.Def.Types_s.quad32_xor ctr1 (FStar.Seq.Base.index
#Vale.Def.Types_s.quad32 round_keys 0) /\ init2 == Vale.Def.Types_s.quad32_xor ctr2
(FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0) /\ init3 ==
Vale.Def.Types_s.quad32_xor ctr3 (FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0)
/\ init4 == Vale.Def.Types_s.quad32_xor ctr4 (FStar.Seq.Base.index #Vale.Def.Types_s.quad32
round_keys 0) /\ init5 == Vale.Def.Types_s.quad32_xor ctr5 (FStar.Seq.Base.index
#Vale.Def.Types_s.quad32 round_keys 0) /\ va_get_xmm 9 va_s0 == Vale.AES.AES_s.eval_rounds
init0 round_keys (Vale.AES.AES_common_s.nr alg - 1) /\ va_get_xmm 10 va_s0 ==
Vale.AES.AES_s.eval_rounds init1 round_keys (Vale.AES.AES_common_s.nr alg - 1) /\ va_get_xmm 11
va_s0 == Vale.AES.AES_s.eval_rounds init2 round_keys (Vale.AES.AES_common_s.nr alg - 1) /\
va_get_xmm 12 va_s0 == Vale.AES.AES_s.eval_rounds init3 round_keys (Vale.AES.AES_common_s.nr
alg - 1) /\ va_get_xmm 13 va_s0 == Vale.AES.AES_s.eval_rounds init4 round_keys
(Vale.AES.AES_common_s.nr alg - 1) /\ va_get_xmm 14 va_s0 == Vale.AES.AES_s.eval_rounds init5
round_keys (Vale.AES.AES_common_s.nr alg - 1) /\ (let rk = FStar.Seq.Base.index #quad32
round_keys (Vale.AES.AES_common_s.nr alg) in va_get_xmm 4 va_s0 == Vale.Def.Types_s.quad32_xor
rk plain0 /\ va_get_xmm 5 va_s0 == Vale.Def.Types_s.quad32_xor rk plain1 /\ va_get_xmm 6 va_s0
== Vale.Def.Types_s.quad32_xor rk plain2 /\ va_get_xmm 8 va_s0 == Vale.Def.Types_s.quad32_xor
rk plain3 /\ va_get_xmm 2 va_s0 == Vale.Def.Types_s.quad32_xor rk plain4 /\ va_get_xmm 3 va_s0
== Vale.Def.Types_s.quad32_xor rk plain5)) /\ (forall (va_x_mem:vale_heap) (va_x_rsi:nat64)
(va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32)
(va_x_xmm8:quad32) (va_x_xmm9:quad32) (va_x_xmm10:quad32) (va_x_xmm11:quad32)
(va_x_xmm12:quad32) (va_x_xmm13:quad32) (va_x_xmm14:quad32) (va_x_xmm15:quad32)
(va_x_heap6:vale_heap) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl
(va_upd_mem_heaplet 6 va_x_heap6 (va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14 va_x_xmm14
(va_upd_xmm 13 va_x_xmm13 (va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10
va_x_xmm10 (va_upd_xmm 9 va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 6 va_x_xmm6 (va_upd_xmm
5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2
(va_upd_reg64 rRsi va_x_rsi (va_upd_mem va_x_mem va_s0)))))))))))))))) in va_get_ok va_sM /\
(Vale.X64.Decls.modifies_buffer_specific128 out_b (va_get_mem_heaplet 6 va_s0)
(va_get_mem_heaplet 6 va_sM) (count `op_Multiply` 6 + 0) (count `op_Multiply` 6 + 5) /\
FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
out_b) 0 (6 `op_Multiply` count) == FStar.Seq.Base.slice #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) out_b) 0 (6 `op_Multiply` count) /\
va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + 96 /\ Vale.X64.Decls.buffer128_read out_b
(count `op_Multiply` 6 + 0) (va_get_mem_heaplet 6 va_sM) == va_get_xmm 9 va_sM /\
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 1) (va_get_mem_heaplet 6 va_sM) ==
va_get_xmm 10 va_sM /\ Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 2)
(va_get_mem_heaplet 6 va_sM) == va_get_xmm 11 va_sM /\ Vale.X64.Decls.buffer128_read out_b
(count `op_Multiply` 6 + 3) (va_get_mem_heaplet 6 va_sM) == va_get_xmm 12 va_sM /\
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 4) (va_get_mem_heaplet 6 va_sM) ==
va_get_xmm 13 va_sM /\ Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 5)
(va_get_mem_heaplet 6 va_sM) == va_get_xmm 14 va_sM /\ va_get_xmm 9 va_sM ==
Vale.Def.Types_s.quad32_xor plain0 (Vale.AES.AES_s.aes_encrypt_LE alg key_words ctr0) /\
va_get_xmm 10 va_sM == Vale.Def.Types_s.quad32_xor plain1 (Vale.AES.AES_s.aes_encrypt_LE alg
key_words ctr1) /\ va_get_xmm 11 va_sM == Vale.Def.Types_s.quad32_xor plain2
(Vale.AES.AES_s.aes_encrypt_LE alg key_words ctr2) /\ va_get_xmm 12 va_sM ==
Vale.Def.Types_s.quad32_xor plain3 (Vale.AES.AES_s.aes_encrypt_LE alg key_words ctr3) /\
va_get_xmm 13 va_sM == Vale.Def.Types_s.quad32_xor plain4 (Vale.AES.AES_s.aes_encrypt_LE alg
key_words ctr4) /\ va_get_xmm 14 va_sM == Vale.Def.Types_s.quad32_xor plain5
(Vale.AES.AES_s.aes_encrypt_LE alg key_words ctr5)) ==> va_k va_sM (())))
val va_wpProof_AESNI_ctr32_6x_final : alg:algorithm -> count:nat -> out_b:buffer128 ->
key_words:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> init0:quad32 ->
init1:quad32 -> init2:quad32 -> init3:quad32 -> init4:quad32 -> init5:quad32 -> ctr0:quad32 ->
ctr1:quad32 -> ctr2:quad32 -> ctr3:quad32 -> ctr4:quad32 -> ctr5:quad32 -> plain0:quad32 ->
plain1:quad32 -> plain2:quad32 -> plain3:quad32 -> plain4:quad32 -> plain5: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_AESNI_ctr32_6x_final alg count out_b key_words round_keys
keys_b init0 init1 init2 init3 init4 init5 ctr0 ctr1 ctr2 ctr3 ctr4 ctr5 plain0 plain1 plain2
plain3 plain4 plain5 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_ctr32_6x_final alg)
([va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm
12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_reg64 rRsi; va_Mod_mem]) va_s0 va_k ((va_sM,
va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_ctr32_6x_final alg count out_b key_words round_keys keys_b init0 init1 init2
init3 init4 init5 ctr0 ctr1 ctr2 ctr3 ctr4 ctr5 plain0 plain1 plain2 plain3 plain4 plain5 va_s0
va_k =
let (va_sM, va_f0) = va_lemma_AESNI_ctr32_6x_final (va_code_AESNI_ctr32_6x_final alg) va_s0 alg
count out_b key_words round_keys keys_b init0 init1 init2 init3 init4 init5 ctr0 ctr1 ctr2 ctr3
ctr4 ctr5 plain0 plain1 plain2 plain3 plain4 plain5 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 6 va_sM (va_update_xmm 15
va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11
va_sM (va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 6
va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2
va_sM (va_update_reg64 rRsi va_sM (va_update_ok va_sM (va_update_mem va_sM
va_s0)))))))))))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm
13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 6;
va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_reg64 rRsi; va_Mod_mem]) va_sM
va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AESNI_ctr32_6x_final (alg:algorithm) (count:nat) (out_b:buffer128) (key_words:(seq
nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (init0:quad32) (init1:quad32) (init2:quad32)
(init3:quad32) (init4:quad32) (init5:quad32) (ctr0:quad32) (ctr1:quad32) (ctr2:quad32)
(ctr3:quad32) (ctr4:quad32) (ctr5:quad32) (plain0:quad32) (plain1:quad32) (plain2:quad32)
(plain3:quad32) (plain4:quad32) (plain5:quad32) : (va_quickCode unit
(va_code_AESNI_ctr32_6x_final alg)) =
(va_QProc (va_code_AESNI_ctr32_6x_final alg) ([va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_xmm 15;
va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9;
va_Mod_xmm 8; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2;
va_Mod_reg64 rRsi; va_Mod_mem]) (va_wp_AESNI_ctr32_6x_final alg count out_b key_words
round_keys keys_b init0 init1 init2 init3 init4 init5 ctr0 ctr1 ctr2 ctr3 ctr4 ctr5 plain0
plain1 plain2 plain3 plain4 plain5) (va_wpProof_AESNI_ctr32_6x_final alg count out_b key_words
round_keys keys_b init0 init1 init2 init3 init4 init5 ctr0 ctr1 ctr2 ctr3 ctr4 ctr5 plain0
plain1 plain2 plain3 plain4 plain5))
//--
//-- AESNI_ctr32_6x
val va_code_AESNI_ctr32_6x : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_AESNI_ctr32_6x alg =
(va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons
(va_Block (va_CNil ())) (va_CCons (va_code_AESNI_ctr32_6x_preamble alg) (va_CCons (if (alg =
AES_128) then va_Block (va_CCons (va_code_AESNI_ctr32_6x_loop_recursive alg 7) (va_CNil ()))
else va_Block (va_CCons (va_code_AESNI_ctr32_6x_loop_recursive alg 11) (va_CNil ()))) (va_CCons
(va_code_AESNI_ctr32_6x_round9 alg) (va_CCons (va_code_AESNI_ctr32_6x_final alg) (va_CCons
(va_Block (va_CNil ())) (va_CNil ())))))))))))))
val va_codegen_success_AESNI_ctr32_6x : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_AESNI_ctr32_6x alg =
(va_pbool_and (va_codegen_success_AESNI_ctr32_6x_preamble alg) (va_pbool_and (if (alg = AES_128)
then va_pbool_and (va_codegen_success_AESNI_ctr32_6x_loop_recursive alg 7) (va_ttrue ()) else
va_pbool_and (va_codegen_success_AESNI_ctr32_6x_loop_recursive alg 11) (va_ttrue ()))
(va_pbool_and (va_codegen_success_AESNI_ctr32_6x_round9 alg) (va_pbool_and
(va_codegen_success_AESNI_ctr32_6x_final alg) (va_ttrue ())))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_AESNI_ctr32_6x (va_mods:va_mods_t) (alg:algorithm) (count:nat) (in_b:buffer128)
(out_b:buffer128) (plain_quads:(seq quad32)) (key_words:(seq nat32)) (round_keys:(seq quad32))
(keys_b:buffer128) (ctr_BE:quad32) (ctr_BE_orig:quad32) : (va_quickCode unit
(va_code_AESNI_ctr32_6x alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 1492 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
((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)))
Vale.Def.Types_s.quad32 round_keys 0) (fun _ -> let (init0:Vale.Def.Types_s.quad32) =
Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 0)) (FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0) in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 1493 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
((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)))
Vale.Def.Types_s.quad32 round_keys 0) (fun _ -> let (init1:Vale.Def.Types_s.quad32) =
Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 1)) (FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0) in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 1494 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
((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)))
Vale.Def.Types_s.quad32 round_keys 0) (fun _ -> let (init2:Vale.Def.Types_s.quad32) =
Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 2)) (FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0) in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 1495 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
((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)))
Vale.Def.Types_s.quad32 round_keys 0) (fun _ -> let (init3:Vale.Def.Types_s.quad32) =
Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 3)) (FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0) in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 1496 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
((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)))
Vale.Def.Types_s.quad32 round_keys 0) (fun _ -> let (init4:Vale.Def.Types_s.quad32) =
Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 4)) (FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0) in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 1497 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
((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)))
Vale.Def.Types_s.quad32 round_keys 0) (fun _ -> let (init5:Vale.Def.Types_s.quad32) =
Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 5)) (FStar.Seq.Base.index #Vale.Def.Types_s.quad32 round_keys 0) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 1499 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_AESNI_ctr32_6x_preamble alg key_words round_keys keys_b ctr_BE) (fun (va_s:va_state)
_ -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 1500 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_qInlineIf va_mods (alg = AES_128) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1501 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_AESNI_ctr32_6x_loop_recursive alg 7 key_words round_keys keys_b init0 init1 init2
init3 init4 init5) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_AESNI_ctr32_6x_loop_recursive alg 11 key_words round_keys keys_b init0 init1 init2
init3 init4 init5) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 1505 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_AESNI_ctr32_6x_round9 alg count in_b key_words round_keys keys_b init0 init1 init2
init3 init4 init5) (fun (va_s:va_state) _ -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 1506 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_AESNI_ctr32_6x_final alg count out_b key_words round_keys keys_b init0 init1 init2
init3 init4 init5 (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 0))
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 1))
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 2))
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 3))
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 4))
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 5))
(Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 0) (va_get_mem_heaplet 6 va_s))
(Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 1) (va_get_mem_heaplet 6 va_s))
(Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 2) (va_get_mem_heaplet 6 va_s))
(Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 3) (va_get_mem_heaplet 6 va_s))
(Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 4) (va_get_mem_heaplet 6 va_s))
(Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 5) (va_get_mem_heaplet 6 va_s)))
(fun (va_s:va_state) _ -> let (plain:(FStar.Seq.Base.seq Vale.X64.Decls.quad32)) =
Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old_s) in_b in let (cipher:(FStar.Seq.Base.seq
Vale.X64.Decls.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b in let
(bound:(va_int_at_least 0)) = count `op_Multiply` 6 in va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 1523 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(bound >= 0 /\ bound <= 4294967295) (fun _ -> let (va_arg61:Vale.Def.Types_s.quad32) =
ctr_BE_orig in let (va_arg60:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = key_words in let
(va_arg59:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = cipher in let
(va_arg58:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old_s) out_b in let (va_arg57:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = plain_quads in let (va_arg56:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = plain_quads in let (va_arg55:Vale.Def.Types_s.nat32) = bound in let
(va_arg54:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1523 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_partial_opaque_ignores_postfix va_arg54 va_arg55 va_arg56
va_arg57 va_arg58 va_arg59 va_arg60 va_arg61) (let (va_arg53:Vale.Def.Types_s.quad32) =
ctr_BE_orig in let (va_arg52:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = key_words in let
(va_arg51:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = cipher in let
(va_arg50:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = plain_quads in let
(va_arg49:Prims.nat) = bound in let (va_arg48:Vale.AES.AES_common_s.algorithm) = alg in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 1525 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_partial_extend6 va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53) (va_QEmpty (()))))))))))))))))
val va_lemma_AESNI_ctr32_6x : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> count:nat ->
in_b:buffer128 -> out_b:buffer128 -> plain_quads:(seq quad32) -> key_words:(seq nat32) ->
round_keys:(seq quad32) -> keys_b:buffer128 -> ctr_BE:quad32 -> ctr_BE_orig:quad32
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AESNI_ctr32_6x alg) va_s0 /\ va_get_ok va_s0 /\
(sse_enabled /\ Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rRdi va_s0) in_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
out_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret /\
Vale.AES.GCTR.partial_seq_agreement plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_s0) in_b) (count `op_Multiply` 6) (count `op_Multiply` 6 + 6) /\ va_get_reg64 rRdi va_s0 +
96 < pow2_64 /\ va_get_reg64 rRsi va_s0 + 96 < pow2_64 /\ aes_reqs_offset alg key_words
round_keys keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout
va_s0) /\ va_get_reg64 rRcx va_s0 - 96 >= 0 /\ va_get_xmm 0 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ count `op_Multiply` 6 + 6 <
pow2_32 /\ ctr_BE == Vale.AES.GCTR.inc32lite ctr_BE_orig (count `op_Multiply` 6) /\ va_get_xmm
1 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 0) /\
va_get_reg64 rRbx va_s0 == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_BE `op_Modulus` 256
/\ Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` count) plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) out_b) key_words ctr_BE_orig)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(Vale.X64.Decls.modifies_buffer_specific128 out_b (va_get_mem_heaplet 6 va_s0)
(va_get_mem_heaplet 6 va_sM) (count `op_Multiply` 6 + 0) (count `op_Multiply` 6 + 5) /\
FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
out_b) 0 (6 `op_Multiply` count) == FStar.Seq.Base.slice #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) out_b) 0 (6 `op_Multiply` count) /\
va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 + 96 /\ va_get_reg64 rRsi va_sM ==
va_get_reg64 rRsi va_s0 + 96 /\ va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 6) /\ (0 <= va_get_reg64 rRbx va_sM /\ va_get_reg64 rRbx va_sM
< 256) /\ va_get_reg64 rRbx va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0
(Vale.AES.GCTR.inc32lite ctr_BE 6) `op_Modulus` 256 /\ Vale.X64.Decls.buffer128_read out_b
(count `op_Multiply` 6 + 0) (va_get_mem_heaplet 6 va_sM) == va_get_xmm 9 va_sM /\
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 1) (va_get_mem_heaplet 6 va_sM) ==
va_get_xmm 10 va_sM /\ Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 2)
(va_get_mem_heaplet 6 va_sM) == va_get_xmm 11 va_sM /\ Vale.X64.Decls.buffer128_read out_b
(count `op_Multiply` 6 + 3) (va_get_mem_heaplet 6 va_sM) == va_get_xmm 12 va_sM /\
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 4) (va_get_mem_heaplet 6 va_sM) ==
va_get_xmm 13 va_sM /\ Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 5)
(va_get_mem_heaplet 6 va_sM) == va_get_xmm 14 va_sM /\ Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (count + 1)) plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out_b)
key_words ctr_BE_orig) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 6
va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12
va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8
va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3
va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_reg64 rR12 va_sM
(va_update_reg64 rR11 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRsi va_sM
(va_update_reg64 rRdi va_sM (va_update_ok va_sM (va_update_mem va_sM
va_s0)))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_AESNI_ctr32_6x va_b0 va_s0 alg count in_b out_b plain_quads key_words round_keys
keys_b ctr_BE ctr_BE_orig =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14;
va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8;
va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi;
va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_AESNI_ctr32_6x va_mods alg count in_b out_b plain_quads key_words round_keys
keys_b ctr_BE ctr_BE_orig in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_AESNI_ctr32_6x alg) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 1412 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ (label va_range1
"***** POSTCONDITION NOT MET AT line 1473 column 84 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 out_b (va_get_mem_heaplet 6 va_s0)
(va_get_mem_heaplet 6 va_sM) (count `op_Multiply` 6 + 0) (count `op_Multiply` 6 + 5)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 1474 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
out_b) 0 (6 `op_Multiply` count) == FStar.Seq.Base.slice #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) out_b) 0 (6 `op_Multiply` count)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 1475 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 + 96) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1476 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + 96) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1478 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE
6)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1479 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(0 <= va_get_reg64 rRbx va_sM /\ va_get_reg64 rRbx va_sM < 256) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1480 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 (Vale.AES.GCTR.inc32lite
ctr_BE 6) `op_Modulus` 256) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1482 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 0) (va_get_mem_heaplet 6 va_sM)
== va_get_xmm 9 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1483 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 1) (va_get_mem_heaplet 6 va_sM)
== va_get_xmm 10 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1484 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 2) (va_get_mem_heaplet 6 va_sM)
== va_get_xmm 11 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1485 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 3) (va_get_mem_heaplet 6 va_sM)
== va_get_xmm 12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1486 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 4) (va_get_mem_heaplet 6 va_sM)
== va_get_xmm 13 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1487 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 5) (va_get_mem_heaplet 6 va_sM)
== va_get_xmm 14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1490 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` (count + 1)) plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) out_b) key_words ctr_BE_orig))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm
13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 6;
va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_ok;
va_Mod_mem]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_AESNI_ctr32_6x (alg:algorithm) (count:nat) (in_b:buffer128) (out_b:buffer128)
(plain_quads:(seq quad32)) (key_words:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128)
(ctr_BE:quad32) (ctr_BE_orig:quad32) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_s0) (va_get_reg64 rRdi va_s0) in_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi
va_s0) out_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret /\
Vale.AES.GCTR.partial_seq_agreement plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_s0) in_b) (count `op_Multiply` 6) (count `op_Multiply` 6 + 6) /\ va_get_reg64 rRdi va_s0 +
96 < pow2_64 /\ va_get_reg64 rRsi va_s0 + 96 < pow2_64 /\ aes_reqs_offset alg key_words
round_keys keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout
va_s0) /\ va_get_reg64 rRcx va_s0 - 96 >= 0 /\ va_get_xmm 0 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ count `op_Multiply` 6 + 6 <
pow2_32 /\ ctr_BE == Vale.AES.GCTR.inc32lite ctr_BE_orig (count `op_Multiply` 6) /\ va_get_xmm
1 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 0) /\
va_get_reg64 rRbx va_s0 == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_BE `op_Modulus` 256
/\ Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` count) plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) out_b) key_words ctr_BE_orig) /\ (forall (va_x_mem:vale_heap)
(va_x_rdi:nat64) (va_x_rsi:nat64) (va_x_rbx:nat64) (va_x_r11:nat64) (va_x_r12:nat64)
(va_x_xmm1:quad32) (va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32)
(va_x_xmm6:quad32) (va_x_xmm8:quad32) (va_x_xmm9:quad32) (va_x_xmm10:quad32)
(va_x_xmm11:quad32) (va_x_xmm12:quad32) (va_x_xmm13:quad32) (va_x_xmm14:quad32)
(va_x_xmm15:quad32) (va_x_heap6:vale_heap) (va_x_efl:Vale.X64.Flags.t) . let va_sM =
va_upd_flags va_x_efl (va_upd_mem_heaplet 6 va_x_heap6 (va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14
va_x_xmm14 (va_upd_xmm 13 va_x_xmm13 (va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11 va_x_xmm11
(va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 9 va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 6
va_x_xmm6 (va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2
va_x_xmm2 (va_upd_xmm 1 va_x_xmm1 (va_upd_reg64 rR12 va_x_r12 (va_upd_reg64 rR11 va_x_r11
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdi va_x_rdi (va_upd_mem
va_x_mem va_s0))))))))))))))))))))) in va_get_ok va_sM /\
(Vale.X64.Decls.modifies_buffer_specific128 out_b (va_get_mem_heaplet 6 va_s0)
(va_get_mem_heaplet 6 va_sM) (count `op_Multiply` 6 + 0) (count `op_Multiply` 6 + 5) /\
FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
out_b) 0 (6 `op_Multiply` count) == FStar.Seq.Base.slice #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) out_b) 0 (6 `op_Multiply` count) /\
va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 + 96 /\ va_get_reg64 rRsi va_sM ==
va_get_reg64 rRsi va_s0 + 96 /\ va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 6) /\ (0 <= va_get_reg64 rRbx va_sM /\ va_get_reg64 rRbx va_sM
< 256) /\ va_get_reg64 rRbx va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0
(Vale.AES.GCTR.inc32lite ctr_BE 6) `op_Modulus` 256 /\ Vale.X64.Decls.buffer128_read out_b
(count `op_Multiply` 6 + 0) (va_get_mem_heaplet 6 va_sM) == va_get_xmm 9 va_sM /\
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 1) (va_get_mem_heaplet 6 va_sM) ==
va_get_xmm 10 va_sM /\ Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 2)
(va_get_mem_heaplet 6 va_sM) == va_get_xmm 11 va_sM /\ Vale.X64.Decls.buffer128_read out_b
(count `op_Multiply` 6 + 3) (va_get_mem_heaplet 6 va_sM) == va_get_xmm 12 va_sM /\
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 4) (va_get_mem_heaplet 6 va_sM) ==
va_get_xmm 13 va_sM /\ Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 5)
(va_get_mem_heaplet 6 va_sM) == va_get_xmm 14 va_sM /\ Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (count + 1)) plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out_b)
key_words ctr_BE_orig) ==> va_k va_sM (())))
val va_wpProof_AESNI_ctr32_6x : alg:algorithm -> count:nat -> in_b:buffer128 -> out_b:buffer128 ->
plain_quads:(seq quad32) -> key_words:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128
-> ctr_BE:quad32 -> ctr_BE_orig: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_AESNI_ctr32_6x alg count in_b out_b plain_quads key_words
round_keys keys_b ctr_BE ctr_BE_orig va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESNI_ctr32_6x alg) ([va_Mod_flags;
va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm
11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4;
va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64
rRbx; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AESNI_ctr32_6x alg count in_b out_b plain_quads key_words round_keys keys_b ctr_BE
ctr_BE_orig va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AESNI_ctr32_6x (va_code_AESNI_ctr32_6x alg) va_s0 alg count in_b
out_b plain_quads key_words round_keys keys_b ctr_BE ctr_BE_orig in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 6 va_sM (va_update_xmm 15
va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11
va_sM (va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 6
va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2
va_sM (va_update_xmm 1 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM
(va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm
13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 6;
va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_mem]) va_sM
va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AESNI_ctr32_6x (alg:algorithm) (count:nat) (in_b:buffer128) (out_b:buffer128)
(plain_quads:(seq quad32)) (key_words:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128)
(ctr_BE:quad32) (ctr_BE_orig:quad32) : (va_quickCode unit (va_code_AESNI_ctr32_6x alg)) =
(va_QProc (va_code_AESNI_ctr32_6x alg) ([va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_xmm 15;
va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9;
va_Mod_xmm 8; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm
1; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRsi; va_Mod_reg64
rRdi; va_Mod_mem]) (va_wp_AESNI_ctr32_6x alg count in_b out_b plain_quads key_words round_keys
keys_b ctr_BE ctr_BE_orig) (va_wpProof_AESNI_ctr32_6x alg count in_b out_b plain_quads
key_words round_keys keys_b ctr_BE ctr_BE_orig))
//--
//-- Encrypt_save_and_shuffle_output
val va_code_Encrypt_save_and_shuffle_output : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Encrypt_save_and_shuffle_output () =
(va_Block (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64
rRsi) (va_op_xmm_xmm 9) (0 - 96) Secret) (va_CCons (va_code_VPshufb (va_op_xmm_xmm 9)
(va_op_xmm_xmm 9) (va_op_xmm_xmm 0)) (va_CCons (va_code_VPxor (va_op_xmm_xmm 1) (va_op_xmm_xmm
1) (va_op_opr128_xmm 7)) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 6)
(va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 10) (0 - 80) Secret) (va_CCons (va_code_VPshufb
(va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_xmm_xmm 0)) (va_CCons (va_code_Store128_buffer
(va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 11) (0 - 64) Secret)
(va_CCons (va_code_VPshufb (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_xmm_xmm 0)) (va_CCons
(va_code_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 12) (0 - 48) Secret) (va_CCons (va_code_VPshufb (va_op_xmm_xmm 12)
(va_op_xmm_xmm 12) (va_op_xmm_xmm 0)) (va_CCons (va_code_Store128_buffer
(va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 13) (0 - 32) Secret)
(va_CCons (va_code_VPshufb (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_xmm_xmm 0)) (va_CCons
(va_code_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 14) (0 - 16) Secret) (va_CCons (va_code_VPshufb (va_op_xmm_xmm 14)
(va_op_xmm_xmm 14) (va_op_xmm_xmm 0)) (va_CNil ())))))))))))))))
val va_codegen_success_Encrypt_save_and_shuffle_output : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Encrypt_save_and_shuffle_output () =
(va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 6)
(va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 9) (0 - 96) Secret) (va_pbool_and
(va_codegen_success_VPshufb (va_op_xmm_xmm 9) (va_op_xmm_xmm 9) (va_op_xmm_xmm 0))
(va_pbool_and (va_codegen_success_VPxor (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_opr128_xmm
7)) (va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 6)
(va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 10) (0 - 80) Secret) (va_pbool_and
(va_codegen_success_VPshufb (va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_xmm_xmm 0))
(va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 6)
(va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 11) (0 - 64) Secret) (va_pbool_and
(va_codegen_success_VPshufb (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_xmm_xmm 0))
(va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 6)
(va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 12) (0 - 48) Secret) (va_pbool_and
(va_codegen_success_VPshufb (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_xmm_xmm 0))
(va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 6)
(va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 13) (0 - 32) Secret) (va_pbool_and
(va_codegen_success_VPshufb (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_xmm_xmm 0))
(va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 6)
(va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 14) (0 - 16) Secret) (va_pbool_and
(va_codegen_success_VPshufb (va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_xmm_xmm 0)) (va_ttrue
()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Encrypt_save_and_shuffle_output (va_mods:va_mods_t) (count:nat) (out_b:buffer128) :
(va_quickCode unit (va_code_Encrypt_save_and_shuffle_output ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1573 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 9) (0 - 96) Secret out_b (count `op_Multiply` 6 + 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1574 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 9) (va_op_xmm_xmm 9) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1575 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_opr128_xmm 7)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1576 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 10) (0 - 80) Secret out_b (count `op_Multiply` 6 + 1)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1577 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1578 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 11) (0 - 64) Secret out_b (count `op_Multiply` 6 + 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1579 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1580 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 12) (0 - 48) Secret out_b (count `op_Multiply` 6 + 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1581 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1582 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 13) (0 - 32) Secret out_b (count `op_Multiply` 6 + 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1583 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1584 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 14) (0 - 16) Secret out_b (count `op_Multiply` 6 + 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1585 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_xmm_xmm 0)) (va_QEmpty
(()))))))))))))))))
val va_lemma_Encrypt_save_and_shuffle_output : va_b0:va_code -> va_s0:va_state -> count:nat ->
out_b:buffer128
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Encrypt_save_and_shuffle_output ()) va_s0 /\ va_get_ok
va_s0 /\ (avx_enabled /\ sse_enabled /\ Vale.X64.Decls.validDstAddrsOffset128
(va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0 - 96) out_b (count `op_Multiply` 6) 6
(va_get_mem_layout va_s0) Secret /\ va_get_xmm 0 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(Vale.X64.Decls.modifies_buffer_specific128 out_b (va_get_mem_heaplet 6 va_s0)
(va_get_mem_heaplet 6 va_sM) (count `op_Multiply` 6 + 0) (count `op_Multiply` 6 + 5) /\
FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
out_b) 0 (6 `op_Multiply` count) == FStar.Seq.Base.slice #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) out_b) 0 (6 `op_Multiply` count) /\
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 0) (va_get_mem_heaplet 6 va_sM) ==
va_get_xmm 9 va_s0 /\ Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 1)
(va_get_mem_heaplet 6 va_sM) == va_get_xmm 10 va_s0 /\ Vale.X64.Decls.buffer128_read out_b
(count `op_Multiply` 6 + 2) (va_get_mem_heaplet 6 va_sM) == va_get_xmm 11 va_s0 /\
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 3) (va_get_mem_heaplet 6 va_sM) ==
va_get_xmm 12 va_s0 /\ Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 4)
(va_get_mem_heaplet 6 va_sM) == va_get_xmm 13 va_s0 /\ Vale.X64.Decls.buffer128_read out_b
(count `op_Multiply` 6 + 5) (va_get_mem_heaplet 6 va_sM) == va_get_xmm 14 va_s0 /\ va_get_xmm 1
va_sM == Vale.Def.Types_s.quad32_xor (va_get_xmm 1 va_s0) (va_get_xmm 7 va_sM) /\ va_get_xmm 9
va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 9 va_s0) /\ va_get_xmm 10 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 10 va_s0) /\ va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 11 va_s0) /\ va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 12 va_s0) /\ va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 13 va_s0) /\ va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 14 va_s0)) /\ va_state_eq va_sM
(va_update_mem_heaplet 6 va_sM (va_update_flags va_sM (va_update_xmm 14 va_sM (va_update_xmm 13
va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 9
va_sM (va_update_xmm 1 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))
[@"opaque_to_smt"]
let va_lemma_Encrypt_save_and_shuffle_output va_b0 va_s0 count out_b =
let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 6; va_Mod_flags; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 1; va_Mod_ok; va_Mod_mem]
in
let va_qc = va_qcode_Encrypt_save_and_shuffle_output va_mods count out_b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Encrypt_save_and_shuffle_output ())
va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 1528 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ (label va_range1
"***** POSTCONDITION NOT MET AT line 1554 column 84 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 out_b (va_get_mem_heaplet 6 va_s0)
(va_get_mem_heaplet 6 va_sM) (count `op_Multiply` 6 + 0) (count `op_Multiply` 6 + 5)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 1555 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
out_b) 0 (6 `op_Multiply` count) == FStar.Seq.Base.slice #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) out_b) 0 (6 `op_Multiply` count)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 1557 column 65 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 0) (va_get_mem_heaplet 6 va_sM)
== va_get_xmm 9 va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1558 column 65 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 1) (va_get_mem_heaplet 6 va_sM)
== va_get_xmm 10 va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1559 column 65 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 2) (va_get_mem_heaplet 6 va_sM)
== va_get_xmm 11 va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1560 column 65 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 3) (va_get_mem_heaplet 6 va_sM)
== va_get_xmm 12 va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1561 column 65 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 4) (va_get_mem_heaplet 6 va_sM)
== va_get_xmm 13 va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1562 column 65 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 5) (va_get_mem_heaplet 6 va_sM)
== va_get_xmm 14 va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1564 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 1 va_sM == Vale.Def.Types_s.quad32_xor (va_get_xmm 1 va_s0) (va_get_xmm 7 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 1565 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 9 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 9 va_s0)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 1566 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 10 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 10 va_s0)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 1567 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 11 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 11 va_s0)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 1568 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 12 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 12 va_s0)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 1569 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 13 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 13 va_s0)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 1570 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 14 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 14 va_s0)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_mem_heaplet 6; va_Mod_flags; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm
12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 1; va_Mod_ok; va_Mod_mem]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Encrypt_save_and_shuffle_output (count:nat) (out_b:buffer128) (va_s0:va_state)
(va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (avx_enabled /\ sse_enabled /\ Vale.X64.Decls.validDstAddrsOffset128
(va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0 - 96) out_b (count `op_Multiply` 6) 6
(va_get_mem_layout va_s0) Secret /\ va_get_xmm 0 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051) /\ (forall (va_x_mem:vale_heap)
(va_x_xmm1:quad32) (va_x_xmm9:quad32) (va_x_xmm10:quad32) (va_x_xmm11:quad32)
(va_x_xmm12:quad32) (va_x_xmm13:quad32) (va_x_xmm14:quad32) (va_x_efl:Vale.X64.Flags.t)
(va_x_heap6:vale_heap) . let va_sM = va_upd_mem_heaplet 6 va_x_heap6 (va_upd_flags va_x_efl
(va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13 va_x_xmm13 (va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11
va_x_xmm11 (va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 9 va_x_xmm9 (va_upd_xmm 1 va_x_xmm1
(va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\
(Vale.X64.Decls.modifies_buffer_specific128 out_b (va_get_mem_heaplet 6 va_s0)
(va_get_mem_heaplet 6 va_sM) (count `op_Multiply` 6 + 0) (count `op_Multiply` 6 + 5) /\
FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
out_b) 0 (6 `op_Multiply` count) == FStar.Seq.Base.slice #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) out_b) 0 (6 `op_Multiply` count) /\
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 0) (va_get_mem_heaplet 6 va_sM) ==
va_get_xmm 9 va_s0 /\ Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 1)
(va_get_mem_heaplet 6 va_sM) == va_get_xmm 10 va_s0 /\ Vale.X64.Decls.buffer128_read out_b
(count `op_Multiply` 6 + 2) (va_get_mem_heaplet 6 va_sM) == va_get_xmm 11 va_s0 /\
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 3) (va_get_mem_heaplet 6 va_sM) ==
va_get_xmm 12 va_s0 /\ Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 4)
(va_get_mem_heaplet 6 va_sM) == va_get_xmm 13 va_s0 /\ Vale.X64.Decls.buffer128_read out_b
(count `op_Multiply` 6 + 5) (va_get_mem_heaplet 6 va_sM) == va_get_xmm 14 va_s0 /\ va_get_xmm 1
va_sM == Vale.Def.Types_s.quad32_xor (va_get_xmm 1 va_s0) (va_get_xmm 7 va_sM) /\ va_get_xmm 9
va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 9 va_s0) /\ va_get_xmm 10 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 10 va_s0) /\ va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 11 va_s0) /\ va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 12 va_s0) /\ va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 13 va_s0) /\ va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 14 va_s0)) ==> va_k va_sM (())))
val va_wpProof_Encrypt_save_and_shuffle_output : count:nat -> out_b:buffer128 -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Encrypt_save_and_shuffle_output count out_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Encrypt_save_and_shuffle_output ())
([va_Mod_mem_heaplet 6; va_Mod_flags; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm
11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 1; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Encrypt_save_and_shuffle_output count out_b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Encrypt_save_and_shuffle_output
(va_code_Encrypt_save_and_shuffle_output ()) va_s0 count out_b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_mem_heaplet 6 va_sM (va_update_flags va_sM (va_update_xmm 14
va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10
va_sM (va_update_xmm 9 va_sM (va_update_xmm 1 va_sM (va_update_ok va_sM (va_update_mem va_sM
va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_mem_heaplet 6; va_Mod_flags; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm
12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 1; va_Mod_mem]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Encrypt_save_and_shuffle_output (count:nat) (out_b:buffer128) : (va_quickCode unit
(va_code_Encrypt_save_and_shuffle_output ())) =
(va_QProc (va_code_Encrypt_save_and_shuffle_output ()) ([va_Mod_mem_heaplet 6; va_Mod_flags;
va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9;
va_Mod_xmm 1; va_Mod_mem]) (va_wp_Encrypt_save_and_shuffle_output count out_b)
(va_wpProof_Encrypt_save_and_shuffle_output count out_b))
//--
//-- UpdateScratch
val va_code_UpdateScratch : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_UpdateScratch () =
(va_Block (va_CCons (va_code_ZeroXmm (va_op_xmm_xmm 4)) (va_CCons (va_code_Mov128 (va_op_xmm_xmm
7) (va_op_xmm_xmm 14)) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 3)
(va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 4) 16 Secret) (va_CCons (va_code_Store128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 13) 48 Secret)
(va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 12) 64 Secret) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 3)
(va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 11) 80 Secret) (va_CCons (va_code_Store128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 10) 96 Secret)
(va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 9) 112 Secret) (va_CNil ()))))))))))
val va_codegen_success_UpdateScratch : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_UpdateScratch () =
(va_pbool_and (va_codegen_success_ZeroXmm (va_op_xmm_xmm 4)) (va_pbool_and
(va_codegen_success_Mov128 (va_op_xmm_xmm 7) (va_op_xmm_xmm 14)) (va_pbool_and
(va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 4) 16 Secret) (va_pbool_and (va_codegen_success_Store128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 13) 48 Secret)
(va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 3)
(va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 12) 64 Secret) (va_pbool_and
(va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 11) 80 Secret) (va_pbool_and (va_codegen_success_Store128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 10) 96 Secret)
(va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 3)
(va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 9) 112 Secret) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_UpdateScratch (va_mods:va_mods_t) (scratch_b:buffer128) : (va_quickCode unit
(va_code_UpdateScratch ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1623 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_ZeroXmm (va_op_xmm_xmm 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1624 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Mov128 (va_op_xmm_xmm 7) (va_op_xmm_xmm 14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1625 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 4) 16 Secret scratch_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1626 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 13) 48 Secret scratch_b 3) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1627 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 12) 64 Secret scratch_b 4) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1628 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 11) 80 Secret scratch_b 5) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1629 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 10) 96 Secret scratch_b 6) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 1630 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 9) 112 Secret scratch_b 7) (va_QEmpty (())))))))))))
val va_lemma_UpdateScratch : va_b0:va_code -> va_s0:va_state -> scratch_b:buffer128
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_UpdateScratch ()) va_s0 /\ va_get_ok va_s0 /\
(sse_enabled /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp
va_s0) scratch_b 8 (va_get_mem_layout va_s0) Secret)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(Vale.X64.Decls.modifies_buffer128 scratch_b (va_get_mem_heaplet 3 va_s0) (va_get_mem_heaplet 3
va_sM) /\ Vale.X64.Decls.buffer_modifies_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 7 /\ Vale.X64.Decls.buffer128_read scratch_b 1
(va_get_mem_heaplet 3 va_sM) == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0 /\
Vale.X64.Decls.buffer128_read scratch_b 2 (va_get_mem_heaplet 3 va_s0) ==
Vale.X64.Decls.buffer128_read scratch_b 2 (va_get_mem_heaplet 3 va_sM) /\
Vale.X64.Decls.buffer128_read scratch_b 3 (va_get_mem_heaplet 3 va_sM) == va_get_xmm 13 va_sM
/\ Vale.X64.Decls.buffer128_read scratch_b 4 (va_get_mem_heaplet 3 va_sM) == va_get_xmm 12
va_sM /\ Vale.X64.Decls.buffer128_read scratch_b 5 (va_get_mem_heaplet 3 va_sM) == va_get_xmm
11 va_sM /\ Vale.X64.Decls.buffer128_read scratch_b 6 (va_get_mem_heaplet 3 va_sM) ==
va_get_xmm 10 va_sM /\ Vale.X64.Decls.buffer128_read scratch_b 7 (va_get_mem_heaplet 3 va_sM)
== va_get_xmm 9 va_sM /\ va_get_xmm 7 va_sM == va_get_xmm 14 va_sM /\ va_get_xmm 4 va_sM ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) /\ va_state_eq va_sM (va_update_flags
va_sM (va_update_mem_heaplet 3 va_sM (va_update_xmm 7 va_sM (va_update_xmm 4 va_sM
(va_update_ok va_sM (va_update_mem va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_UpdateScratch va_b0 va_s0 scratch_b =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_xmm 7; va_Mod_xmm 4;
va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_UpdateScratch va_mods scratch_b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_UpdateScratch ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 1588 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ (label va_range1
"***** POSTCONDITION NOT MET AT line 1610 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer128 scratch_b (va_get_mem_heaplet 3 va_s0) (va_get_mem_heaplet 3
va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1611 column 72 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer_modifies_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 7) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1613 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read scratch_b 1 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1614 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read scratch_b 2 (va_get_mem_heaplet 3 va_s0) ==
Vale.X64.Decls.buffer128_read scratch_b 2 (va_get_mem_heaplet 3 va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1615 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read scratch_b 3 (va_get_mem_heaplet 3 va_sM) == va_get_xmm 13 va_sM)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 1616 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read scratch_b 4 (va_get_mem_heaplet 3 va_sM) == va_get_xmm 12 va_sM)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 1617 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read scratch_b 5 (va_get_mem_heaplet 3 va_sM) == va_get_xmm 11 va_sM)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 1618 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read scratch_b 6 (va_get_mem_heaplet 3 va_sM) == va_get_xmm 10 va_sM)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 1619 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read scratch_b 7 (va_get_mem_heaplet 3 va_sM) == va_get_xmm 9 va_sM)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 1620 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 7 va_sM == va_get_xmm 14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 1621 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 4 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_xmm 7; va_Mod_xmm 4; va_Mod_ok;
va_Mod_mem]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_UpdateScratch (scratch_b:buffer128) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0)
(va_get_reg64 rRbp va_s0) scratch_b 8 (va_get_mem_layout va_s0) Secret) /\ (forall
(va_x_mem:vale_heap) (va_x_xmm4:quad32) (va_x_xmm7:quad32) (va_x_heap3:vale_heap)
(va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_mem_heaplet 3
va_x_heap3 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 4 va_x_xmm4 (va_upd_mem va_x_mem va_s0)))) in
va_get_ok va_sM /\ (Vale.X64.Decls.modifies_buffer128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) /\ Vale.X64.Decls.buffer_modifies_specific128 scratch_b
(va_get_mem_heaplet 3 va_s0) (va_get_mem_heaplet 3 va_sM) 1 7 /\ Vale.X64.Decls.buffer128_read
scratch_b 1 (va_get_mem_heaplet 3 va_sM) == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0
0 0 /\ Vale.X64.Decls.buffer128_read scratch_b 2 (va_get_mem_heaplet 3 va_s0) ==
Vale.X64.Decls.buffer128_read scratch_b 2 (va_get_mem_heaplet 3 va_sM) /\
Vale.X64.Decls.buffer128_read scratch_b 3 (va_get_mem_heaplet 3 va_sM) == va_get_xmm 13 va_sM
/\ Vale.X64.Decls.buffer128_read scratch_b 4 (va_get_mem_heaplet 3 va_sM) == va_get_xmm 12
va_sM /\ Vale.X64.Decls.buffer128_read scratch_b 5 (va_get_mem_heaplet 3 va_sM) == va_get_xmm
11 va_sM /\ Vale.X64.Decls.buffer128_read scratch_b 6 (va_get_mem_heaplet 3 va_sM) ==
va_get_xmm 10 va_sM /\ Vale.X64.Decls.buffer128_read scratch_b 7 (va_get_mem_heaplet 3 va_sM)
== va_get_xmm 9 va_sM /\ va_get_xmm 7 va_sM == va_get_xmm 14 va_sM /\ va_get_xmm 4 va_sM ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) ==> va_k va_sM (())))
val va_wpProof_UpdateScratch : scratch_b:buffer128 -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_UpdateScratch scratch_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_UpdateScratch ()) ([va_Mod_flags;
va_Mod_mem_heaplet 3; va_Mod_xmm 7; va_Mod_xmm 4; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0,
va_g))))
[@"opaque_to_smt"]
let va_wpProof_UpdateScratch scratch_b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_UpdateScratch (va_code_UpdateScratch ()) va_s0 scratch_b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 3 va_sM (va_update_xmm 7
va_sM (va_update_xmm 4 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_xmm 7; va_Mod_xmm 4; va_Mod_mem])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_UpdateScratch (scratch_b:buffer128) : (va_quickCode unit (va_code_UpdateScratch ())) =
(va_QProc (va_code_UpdateScratch ()) ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_xmm 7;
va_Mod_xmm 4; va_Mod_mem]) (va_wp_UpdateScratch scratch_b) (va_wpProof_UpdateScratch scratch_b))
//--
//-- AES_GCM_encrypt_6mult
#push-options "--z3rlimit 40000 --z3refresh --max_ifuel 0 --z3seed 7"
#restart-solver
[@ "opaque_to_smt" va_qattr]
let va_code_AES_GCM_encrypt_6mult alg =
(va_Block (va_CCons (va_IfElse (va_cmp_eq (va_op_cmp_reg64 rRdx) (va_const_cmp 0)) (va_Block
(va_CCons (va_code_VPshufb (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm 0)) (va_CCons
(va_code_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 1) 32 Secret) (va_CNil ())))) (va_Block (va_CCons (va_code_Store128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 8) 32 Secret)
(va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 128)) (va_CCons
(va_code_Pextrq (va_op_dst_opr64_reg64 rRbx) (va_op_xmm_xmm 1) 0) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 255)) (va_CCons (va_code_VPshufb (va_op_xmm_xmm 1)
(va_op_xmm_xmm 1) (va_op_xmm_xmm 0)) (va_CCons (va_code_AddLea64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRsi) (va_const_opr64 96)) (va_CCons (va_code_AESNI_ctr32_6x alg) (va_CCons
(va_code_VPshufb (va_op_xmm_xmm 8) (va_op_xmm_xmm 9) (va_op_xmm_xmm 0)) (va_CCons
(va_code_VPshufb (va_op_xmm_xmm 2) (va_op_xmm_xmm 10) (va_op_xmm_xmm 0)) (va_CCons
(va_code_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 8) 112 Secret) (va_CCons (va_code_VPshufb (va_op_xmm_xmm 4) (va_op_xmm_xmm 11)
(va_op_xmm_xmm 0)) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 3)
(va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 2) 96 Secret) (va_CCons (va_code_VPshufb
(va_op_xmm_xmm 5) (va_op_xmm_xmm 12) (va_op_xmm_xmm 0)) (va_CCons (va_code_Store128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 4) 80 Secret)
(va_CCons (va_code_VPshufb (va_op_xmm_xmm 6) (va_op_xmm_xmm 13) (va_op_xmm_xmm 0)) (va_CCons
(va_code_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 5) 64 Secret) (va_CCons (va_code_VPshufb (va_op_xmm_xmm 7) (va_op_xmm_xmm 14)
(va_op_xmm_xmm 0)) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 3)
(va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 6) 48 Secret) (va_CCons (va_code_AESNI_ctr32_6x
alg) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 12)) (va_CCons
(va_code_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 8) (va_op_reg_opr64_reg64
rRbp) 32 Secret) (va_CCons (va_code_Ctr32_ghash_6_prelude alg) (va_CCons (va_code_Loop6x_loop
alg) (va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 7)
(va_op_reg_opr64_reg64 rRbp) 32 Secret) (va_CCons (va_code_Store128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 1) 32 Secret)
(va_CCons (va_code_ZeroXmm (va_op_xmm_xmm 4)) (va_CCons (va_code_Store128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 4) 16 Secret)
(va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll6x ()) (va_CCons (va_Block
(va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_InitPshufbMask
(va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rR12)) (va_CCons (va_Block (va_CNil ())) (va_CCons
(va_code_Encrypt_save_and_shuffle_output ()) (va_CCons (va_code_UpdateScratch ()) (va_CCons
(va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll6x ()) (va_CCons (va_Block (va_CNil ()))
(va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_Sub64
(va_op_dst_opr64_reg64 rRcx) (va_const_opr64 128)) (va_CNil
())))))))))))))))))))))))))))))))))))))))))))) (va_CNil ())))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_AES_GCM_encrypt_6mult alg =
(va_pbool_and (va_pbool_and (va_codegen_success_VPshufb (va_op_xmm_xmm 1) (va_op_xmm_xmm 1)
(va_op_xmm_xmm 0)) (va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet
3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 1) 32 Secret) (va_pbool_and
(va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 8) 32 Secret) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64
rRcx) (va_const_opr64 128)) (va_pbool_and (va_codegen_success_Pextrq (va_op_dst_opr64_reg64
rRbx) (va_op_xmm_xmm 1) 0) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbx)
(va_const_opr64 255)) (va_pbool_and (va_codegen_success_VPshufb (va_op_xmm_xmm 1)
(va_op_xmm_xmm 1) (va_op_xmm_xmm 0)) (va_pbool_and (va_codegen_success_AddLea64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRsi) (va_const_opr64 96)) (va_pbool_and
(va_codegen_success_AESNI_ctr32_6x alg) (va_pbool_and (va_codegen_success_VPshufb
(va_op_xmm_xmm 8) (va_op_xmm_xmm 9) (va_op_xmm_xmm 0)) (va_pbool_and
(va_codegen_success_VPshufb (va_op_xmm_xmm 2) (va_op_xmm_xmm 10) (va_op_xmm_xmm 0))
(va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 3)
(va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 8) 112 Secret) (va_pbool_and
(va_codegen_success_VPshufb (va_op_xmm_xmm 4) (va_op_xmm_xmm 11) (va_op_xmm_xmm 0))
(va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 3)
(va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 2) 96 Secret) (va_pbool_and
(va_codegen_success_VPshufb (va_op_xmm_xmm 5) (va_op_xmm_xmm 12) (va_op_xmm_xmm 0))
(va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 3)
(va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 4) 80 Secret) (va_pbool_and
(va_codegen_success_VPshufb (va_op_xmm_xmm 6) (va_op_xmm_xmm 13) (va_op_xmm_xmm 0))
(va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 3)
(va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 5) 64 Secret) (va_pbool_and
(va_codegen_success_VPshufb (va_op_xmm_xmm 7) (va_op_xmm_xmm 14) (va_op_xmm_xmm 0))
(va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 3)
(va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 6) 48 Secret) (va_pbool_and
(va_codegen_success_AESNI_ctr32_6x alg) (va_pbool_and (va_codegen_success_Sub64
(va_op_dst_opr64_reg64 rRdx) (va_const_opr64 12)) (va_pbool_and
(va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 8)
(va_op_reg_opr64_reg64 rRbp) 32 Secret) (va_pbool_and (va_codegen_success_Ctr32_ghash_6_prelude
alg) (va_pbool_and (va_codegen_success_Loop6x_loop alg) (va_pbool_and
(va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 7)
(va_op_reg_opr64_reg64 rRbp) 32 Secret) (va_pbool_and (va_codegen_success_Store128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 1) 32 Secret)
(va_pbool_and (va_codegen_success_ZeroXmm (va_op_xmm_xmm 4)) (va_pbool_and
(va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 4) 16 Secret) (va_pbool_and (va_codegen_success_GhashUnroll6x ()) (va_pbool_and
(va_codegen_success_InitPshufbMask (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rR12))
(va_pbool_and (va_codegen_success_Encrypt_save_and_shuffle_output ()) (va_pbool_and
(va_codegen_success_UpdateScratch ()) (va_pbool_and (va_codegen_success_GhashUnroll6x ())
(va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64
128)))))))))))))))))))))))))))))))))))) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_AES_GCM_encrypt_6mult (va_mods:va_mods_t) (alg:algorithm) (h_LE:quad32)
(iv_b:buffer128) (in_b:buffer128) (out_b:buffer128) (scratch_b:buffer128) (key_words:(seq nat32))
(round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) : (va_quickCode unit
(va_code_AES_GCM_encrypt_6mult alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2176 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_qIf va_mods (Cmp_eq (va_op_cmp_reg64 rRdx) (va_const_cmp 0)) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2178 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2179 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 1) 32 Secret scratch_b 2) (fun (va_s:va_state) _ -> let
(va_arg104:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_old_s in let
(va_arg103:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = key_words in let
(va_arg102:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) out_b in let (va_arg101:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in_b in let
(va_arg100:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2180 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_partial_opaque_init va_arg100 va_arg101 va_arg102 va_arg103
va_arg104) (va_QEmpty (())))))) (qblock va_mods (fun (va_s:va_state) -> let
(plain_quads:(FStar.Seq.Base.seq Vale.X64.Decls.quad32)) = Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) in_b in let (y_orig:Vale.Def.Types_s.quad32) =
Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2187 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 8) 32 Secret scratch_b 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2189 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 128)) (fun (va_s:va_state) _ ->
let (ctr_BE:quad32) = va_get_xmm 1 va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2195 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Pextrq (va_op_dst_opr64_reg64 rRbx) (va_op_xmm_xmm 1) 0) (fun (va_s:va_state) _ ->
let (full_counter:nat64) = va_get_reg64 rRbx va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2197 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 255)) (fun (va_s:va_state) _ ->
let (va_arg136:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in let
(va_arg135:Vale.Def.Types_s.nat64) = full_counter in let (va_arg134:Vale.Def.Types_s.quad32) =
va_get_xmm 1 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2198 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.lemma_counter_init va_arg134 va_arg135 va_arg136) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 2200 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2203 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRsi) (va_const_opr64 96))
(fun (va_s:va_state) _ -> let (va_arg133:Vale.Def.Types_s.quad32) = ctr_BE in let
(va_arg132:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = key_words in let
(va_arg131:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) out_b in let (va_arg130:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in_b in let
(va_arg129:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2205 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_partial_opaque_init va_arg129 va_arg130 va_arg131 va_arg132
va_arg133) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2206 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_AESNI_ctr32_6x alg 0 in_b out_b plain_quads key_words round_keys keys_b ctr_BE
ctr_BE) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2208 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 8) (va_op_xmm_xmm 9) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2209 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 2) (va_op_xmm_xmm 10) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2210 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 8) 112 Secret scratch_b 7) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2211 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 4) (va_op_xmm_xmm 11) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2212 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 2) 96 Secret scratch_b 6) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2213 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 5) (va_op_xmm_xmm 12) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2214 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 4) 80 Secret scratch_b 5) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2215 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 6) (va_op_xmm_xmm 13) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2216 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 5) 64 Secret scratch_b 4) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2217 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 7) (va_op_xmm_xmm 14) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2218 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 6) 48 Secret scratch_b 3) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2220 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_AESNI_ctr32_6x alg 1 in_b out_b plain_quads key_words round_keys keys_b
(Vale.AES.GCTR_s.inc32 ctr_BE 6) ctr_BE) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2221 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 12)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2223 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 8) (va_op_reg_opr64_reg64
rRbp) 32 Secret scratch_b 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2226 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Ctr32_ghash_6_prelude alg scratch_b key_words round_keys keys_b
(Vale.AES.GCTR_s.inc32 ctr_BE 12)) (fun (va_s:va_state) _ -> let (mid_len:nat64) = va_get_reg64
rRdx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2233 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_zero ()) (let
(va_arg128:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2234 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_zero va_arg128) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 2235 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s) == add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
scratch_b 1 (va_get_mem_heaplet 3 va_s)))) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 2236 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s)) ==
va_get_xmm 8 va_s) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2237 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x_loop alg h_LE (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s))
(Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s)) 2 iv_b out_b in_b out_b scratch_b
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old_s) in_b) key_words round_keys keys_b hkeys_b
ctr_BE (Vale.AES.GCTR_s.inc32 ctr_BE 12)) (fun (va_s:va_state) (y_new:quad32) -> let
(out_snapshot:(FStar.Seq.Base.seq Vale.X64.Decls.quad32)) = Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) out_b in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2240 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 7) (va_op_reg_opr64_reg64
rRbp) 32 Secret scratch_b 2) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2243 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 1) 32 Secret scratch_b 2) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2246 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_ZeroXmm (va_op_xmm_xmm 4)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2247 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 4) 16 Secret scratch_b 1) (fun (va_s:va_state) _ -> let
(va_arg127:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2248 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_zero va_arg127) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 2250 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_old_s - 12 >= 0 /\ va_get_reg64 rRdx va_old_s - 6 >= 0 /\ (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.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b) (va_get_reg64
rRdx va_old_s - 12) (va_get_reg64 rRdx va_old_s - 6)) (fun _ -> let (data:(FStar.Seq.Base.seq
Vale.X64.Decls.quad32)) = FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) out_b) (va_get_reg64 rRdx va_old_s - 12) (va_get_reg64 rRdx
va_old_s - 6) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2251 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_GhashUnroll6x hkeys_b scratch_b h_LE y_new data) (fun (va_s:va_state) _ -> let
(y_new':Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in
va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 2253 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_old_s - 12 >= 0 /\ (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.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) out_b) 0 (va_get_reg64 rRdx va_old_s - 12)) (fun _ -> let
(va_arg126:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg125:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice
#Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b) 0 (va_get_reg64
rRdx va_old_s - 12) in let (va_arg124:Vale.Def.Types_s.quad32) = y_new in let
(va_arg123:Vale.Def.Types_s.quad32) = h_LE in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2253 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GHash.lemma_ghash_incremental0_append va_arg123 y_orig va_arg124
y_new' va_arg125 va_arg126) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 2255 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_old_s - 12 >= 0 /\ (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.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) out_b) 0 (va_get_reg64 rRdx va_old_s - 12) /\ va_get_reg64 rRdx
va_old_s - 6 >= 0 /\ (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.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) out_b) 0 (va_get_reg64 rRdx va_old_s - 6)) (fun _ -> va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 2255 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(FStar.Seq.Base.equal #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32
(FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s)
out_b) 0 (va_get_reg64 rRdx va_old_s - 12)) data) (FStar.Seq.Base.slice #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b) 0 (va_get_reg64 rRdx va_old_s - 6)))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2260 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_InitPshufbMask (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rR12)) (fun (va_s:va_state) _
-> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 2267 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_old_s `op_Division` 6 - 1 >= 0) (fun _ -> let (offset_in:nat) =
va_get_reg64 rRdx va_old_s `op_Division` 6 - 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2268 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Encrypt_save_and_shuffle_output offset_in out_b) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2271 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_UpdateScratch scratch_b) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 2273 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_old_s - 6 >= 0 /\ va_get_reg64 rRdx va_old_s >= 0 /\ (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.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b) (va_get_reg64
rRdx va_old_s - 6) (va_get_reg64 rRdx va_old_s)) (fun _ -> let data = FStar.Seq.Base.slice
#Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b) (va_get_reg64
rRdx va_old_s - 6) (va_get_reg64 rRdx va_old_s) in let (va_arg122:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2274 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_zero va_arg122) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2275 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_GhashUnroll6x hkeys_b scratch_b h_LE y_new' data) (fun (va_s:va_state) _ -> let
(y_new'':Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s)
in va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 2278 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_old_s - 6 >= 0 /\ (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.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) out_b) 0 (va_get_reg64 rRdx va_old_s - 6)) (fun _ -> let
(va_arg121:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg120:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice
#Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b) 0 (va_get_reg64
rRdx va_old_s - 6) in let (va_arg119:Vale.Def.Types_s.quad32) = h_LE in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2278 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GHash.lemma_ghash_incremental0_append va_arg119 y_orig y_new' y_new''
va_arg120 va_arg121) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 2280 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_old_s - 6 >= 0 /\ (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.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) out_b) 0 (va_get_reg64 rRdx va_old_s - 6)) (fun _ -> va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 2280 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(FStar.Seq.Base.equal #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32
(FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s)
out_b) 0 (va_get_reg64 rRdx va_old_s - 6)) data) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_s) out_b)) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 2286 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(12 + mid_len - 6 >= 0 /\ 12 + mid_len - 6 <= 4294967295) (fun _ -> let
(va_arg118:Vale.Def.Types_s.quad32) = ctr_BE in let (va_arg117:(FStar.Seq.Base.seq
Vale.Def.Types_s.nat32)) = key_words in let (va_arg116:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b in let
(va_arg115:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = out_snapshot in let
(va_arg114:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old_s) in_b in let (va_arg113:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old_s) in_b in let
(va_arg112:Vale.Def.Types_s.nat32) = 12 + mid_len - 6 in let
(va_arg111:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2286 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_partial_opaque_ignores_postfix va_arg111 va_arg112
va_arg113 va_arg114 va_arg115 va_arg116 va_arg117 va_arg118) (let
(va_arg110:Vale.Def.Types_s.quad32) = ctr_BE in let (va_arg109:(FStar.Seq.Base.seq
Vale.Def.Types_s.nat32)) = key_words in let (va_arg108:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b in let
(va_arg107:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old_s) in_b in let (va_arg106:Prims.nat) = 12 + mid_len - 6 in let
(va_arg105:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2287 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_partial_extend6 va_arg105 va_arg106 va_arg107 va_arg108
va_arg109 va_arg110) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2289 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 128)) (va_QEmpty
(()))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (fun (va_s:va_state) va_g ->
va_QEmpty (()))))
[@"opaque_to_smt"]
let va_lemma_AES_GCM_encrypt_6mult va_b0 va_s0 alg h_LE iv_b in_b out_b scratch_b key_words
round_keys keys_b hkeys_b =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2;
va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm
11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14;
va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRax; va_Mod_ok;
va_Mod_mem] in
let va_qc = va_qcode_AES_GCM_encrypt_6mult va_mods alg h_LE iv_b in_b out_b scratch_b key_words
round_keys keys_b hkeys_b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_AES_GCM_encrypt_6mult alg) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 2086 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ (label va_range1
"***** POSTCONDITION NOT MET AT line 2159 column 53 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer128 out_b (va_get_mem_heaplet 6 va_s0) (va_get_mem_heaplet 6
va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 2160 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer128 iv_b (va_get_mem_heaplet 2 va_s0) (va_get_mem_heaplet 2
va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 2161 column 72 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 8) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 2163 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 2166 column 100 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.AES.GCTR.gctr_partial alg (va_get_reg64 rRdx va_s0) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) in_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out_b)
key_words (va_get_xmm 1 va_s0)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 2169 column 112 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_sM) ==
Vale.AES.GHash.ghash_incremental0 h_LE (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8
va_s0)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out_b)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 2173 column 98 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(l_and (va_get_reg64 rRdx va_s0 < pow2_32) (Vale.X64.Decls.buffer128_read scratch_b 2
(va_get_mem_heaplet 3 va_sM) == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
(va_get_xmm 1 va_s0) (va_get_reg64 rRdx va_s0)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet
6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10;
va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm
3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64
rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_AES_GCM_encrypt_6mult alg h_LE iv_b in_b out_b scratch_b key_words round_keys keys_b
hkeys_b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AES_GCM_encrypt_6mult (va_code_AES_GCM_encrypt_6mult alg) va_s0 alg
h_LE iv_b in_b out_b scratch_b key_words round_keys keys_b hkeys_b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 3 va_sM
(va_update_mem_heaplet 2 va_sM (va_update_mem_heaplet 6 va_sM (va_update_xmm 15 va_sM
(va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM
(va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM
(va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM
(va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR14
va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))))))))))))))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet
6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10;
va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm
3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64
rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
#pop-options
//--
//-- DecryptPrelude
val va_code_DecryptPrelude : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_DecryptPrelude () =
(va_Block (va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_xmm_xmm 7)
(va_op_reg_opr64_reg64 rRdi) 80 Secret) (va_CCons (va_code_Load128_buffer
(va_op_heaplet_mem_heaplet 6) (va_op_xmm_xmm 4) (va_op_reg_opr64_reg64 rRdi) 64 Secret)
(va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_xmm_xmm 5)
(va_op_reg_opr64_reg64 rRdi) 48 Secret) (va_CCons (va_code_Load128_buffer
(va_op_heaplet_mem_heaplet 6) (va_op_xmm_xmm 6) (va_op_reg_opr64_reg64 rRdi) 32 Secret)
(va_CCons (va_code_VPshufb (va_op_xmm_xmm 7) (va_op_xmm_xmm 7) (va_op_xmm_xmm 0)) (va_CCons
(va_code_Load128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_xmm_xmm 2) (va_op_reg_opr64_reg64
rRdi) 16 Secret) (va_CCons (va_code_VPshufb (va_op_xmm_xmm 4) (va_op_xmm_xmm 4) (va_op_xmm_xmm
0)) (va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_xmm_xmm 3)
(va_op_reg_opr64_reg64 rRdi) 0 Secret) (va_CCons (va_code_VPshufb (va_op_xmm_xmm 5)
(va_op_xmm_xmm 5) (va_op_xmm_xmm 0)) (va_CCons (va_code_Store128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 4) 48 Secret)
(va_CCons (va_code_VPshufb (va_op_xmm_xmm 6) (va_op_xmm_xmm 6) (va_op_xmm_xmm 0)) (va_CCons
(va_code_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 5) 64 Secret) (va_CCons (va_code_VPshufb (va_op_xmm_xmm 2) (va_op_xmm_xmm 2)
(va_op_xmm_xmm 0)) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 3)
(va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 6) 80 Secret) (va_CCons (va_code_VPshufb
(va_op_xmm_xmm 3) (va_op_xmm_xmm 3) (va_op_xmm_xmm 0)) (va_CCons (va_code_Store128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 2) 96 Secret)
(va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 3) 112 Secret) (va_CNil ())))))))))))))))))))
val va_codegen_success_DecryptPrelude : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_DecryptPrelude () =
(va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_xmm_xmm 7)
(va_op_reg_opr64_reg64 rRdi) 80 Secret) (va_pbool_and (va_codegen_success_Load128_buffer
(va_op_heaplet_mem_heaplet 6) (va_op_xmm_xmm 4) (va_op_reg_opr64_reg64 rRdi) 64 Secret)
(va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_xmm_xmm
5) (va_op_reg_opr64_reg64 rRdi) 48 Secret) (va_pbool_and (va_codegen_success_Load128_buffer
(va_op_heaplet_mem_heaplet 6) (va_op_xmm_xmm 6) (va_op_reg_opr64_reg64 rRdi) 32 Secret)
(va_pbool_and (va_codegen_success_VPshufb (va_op_xmm_xmm 7) (va_op_xmm_xmm 7) (va_op_xmm_xmm
0)) (va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 6)
(va_op_xmm_xmm 2) (va_op_reg_opr64_reg64 rRdi) 16 Secret) (va_pbool_and
(va_codegen_success_VPshufb (va_op_xmm_xmm 4) (va_op_xmm_xmm 4) (va_op_xmm_xmm 0))
(va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_xmm_xmm
3) (va_op_reg_opr64_reg64 rRdi) 0 Secret) (va_pbool_and (va_codegen_success_VPshufb
(va_op_xmm_xmm 5) (va_op_xmm_xmm 5) (va_op_xmm_xmm 0)) (va_pbool_and
(va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 4) 48 Secret) (va_pbool_and (va_codegen_success_VPshufb (va_op_xmm_xmm 6)
(va_op_xmm_xmm 6) (va_op_xmm_xmm 0)) (va_pbool_and (va_codegen_success_Store128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 5) 64 Secret)
(va_pbool_and (va_codegen_success_VPshufb (va_op_xmm_xmm 2) (va_op_xmm_xmm 2) (va_op_xmm_xmm
0)) (va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 3)
(va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 6) 80 Secret) (va_pbool_and
(va_codegen_success_VPshufb (va_op_xmm_xmm 3) (va_op_xmm_xmm 3) (va_op_xmm_xmm 0))
(va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 3)
(va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 2) 96 Secret) (va_pbool_and
(va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 3) 112 Secret) (va_ttrue ()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_DecryptPrelude (va_mods:va_mods_t) (in_b:buffer128) (scratch_b:buffer128) :
(va_quickCode unit (va_code_DecryptPrelude ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2339 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_xmm_xmm 7) (va_op_reg_opr64_reg64
rRdi) 80 Secret in_b 5) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2340 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_xmm_xmm 4) (va_op_reg_opr64_reg64
rRdi) 64 Secret in_b 4) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2341 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_xmm_xmm 5) (va_op_reg_opr64_reg64
rRdi) 48 Secret in_b 3) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2342 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_xmm_xmm 6) (va_op_reg_opr64_reg64
rRdi) 32 Secret in_b 2) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2344 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 7) (va_op_xmm_xmm 7) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2345 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_xmm_xmm 2) (va_op_reg_opr64_reg64
rRdi) 16 Secret in_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2346 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 4) (va_op_xmm_xmm 4) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2347 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_xmm_xmm 3) (va_op_reg_opr64_reg64
rRdi) 0 Secret in_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2348 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 5) (va_op_xmm_xmm 5) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2349 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 4) 48 Secret scratch_b 3) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2350 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 6) (va_op_xmm_xmm 6) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2351 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 5) 64 Secret scratch_b 4) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2352 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 2) (va_op_xmm_xmm 2) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2353 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 6) 80 Secret scratch_b 5) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2354 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 3) (va_op_xmm_xmm 3) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2355 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 2) 96 Secret scratch_b 6) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2356 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 3) 112 Secret scratch_b 7) (va_QEmpty (()))))))))))))))))))))
val va_lemma_DecryptPrelude : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 ->
scratch_b:buffer128
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_DecryptPrelude ()) va_s0 /\ va_get_ok va_s0 /\
(avx_enabled /\ sse_enabled /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rRdi va_s0) in_b 6 (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
scratch_b 8 (va_get_mem_layout va_s0) Secret /\ va_get_xmm 0 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 3 7 /\ Vale.X64.Decls.buffer128_read scratch_b 7
(va_get_mem_heaplet 3 va_sM) == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.X64.Decls.buffer128_read in_b 0 (va_get_mem_heaplet 6 va_sM)) /\
Vale.X64.Decls.buffer128_read scratch_b 6 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read in_b 1 (va_get_mem_heaplet
6 va_sM)) /\ Vale.X64.Decls.buffer128_read scratch_b 5 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read in_b 2 (va_get_mem_heaplet
6 va_sM)) /\ Vale.X64.Decls.buffer128_read scratch_b 4 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read in_b 3 (va_get_mem_heaplet
6 va_sM)) /\ Vale.X64.Decls.buffer128_read scratch_b 3 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read in_b 4 (va_get_mem_heaplet
6 va_sM)) /\ va_get_xmm 7 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.X64.Decls.buffer128_read in_b 5 (va_get_mem_heaplet 6 va_sM))) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_mem_heaplet 3 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6
va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2
va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_DecryptPrelude va_b0 va_s0 in_b scratch_b =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_xmm 7; va_Mod_xmm 6;
va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_DecryptPrelude va_mods in_b scratch_b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_DecryptPrelude ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 2295 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ (label va_range1
"***** POSTCONDITION NOT MET AT line 2323 column 72 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 3 7) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 2325 column 100 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read scratch_b 7 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read in_b 0 (va_get_mem_heaplet
6 va_sM))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 2326 column 100 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read scratch_b 6 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read in_b 1 (va_get_mem_heaplet
6 va_sM))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 2327 column 100 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read scratch_b 5 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read in_b 2 (va_get_mem_heaplet
6 va_sM))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 2328 column 100 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read scratch_b 4 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read in_b 3 (va_get_mem_heaplet
6 va_sM))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 2329 column 100 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read scratch_b 3 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read in_b 4 (va_get_mem_heaplet
6 va_sM))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 2331 column 67 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 7 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read
in_b 5 (va_get_mem_heaplet 6 va_sM))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm
5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_ok; va_Mod_mem]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_DecryptPrelude (in_b:buffer128) (scratch_b:buffer128) (va_s0:va_state) (va_k:(va_state ->
unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (avx_enabled /\ sse_enabled /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi va_s0) in_b 6 (va_get_mem_layout va_s0) Secret
/\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
scratch_b 8 (va_get_mem_layout va_s0) Secret /\ va_get_xmm 0 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051) /\ (forall (va_x_mem:vale_heap)
(va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32)
(va_x_xmm7:quad32) (va_x_heap3:vale_heap) (va_x_efl:Vale.X64.Flags.t) . let va_sM =
va_upd_flags va_x_efl (va_upd_mem_heaplet 3 va_x_heap3 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6
va_x_xmm6 (va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2
va_x_xmm2 (va_upd_mem va_x_mem va_s0)))))))) in va_get_ok va_sM /\
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 3 7 /\ Vale.X64.Decls.buffer128_read scratch_b 7
(va_get_mem_heaplet 3 va_sM) == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.X64.Decls.buffer128_read in_b 0 (va_get_mem_heaplet 6 va_sM)) /\
Vale.X64.Decls.buffer128_read scratch_b 6 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read in_b 1 (va_get_mem_heaplet
6 va_sM)) /\ Vale.X64.Decls.buffer128_read scratch_b 5 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read in_b 2 (va_get_mem_heaplet
6 va_sM)) /\ Vale.X64.Decls.buffer128_read scratch_b 4 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read in_b 3 (va_get_mem_heaplet
6 va_sM)) /\ Vale.X64.Decls.buffer128_read scratch_b 3 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read in_b 4 (va_get_mem_heaplet
6 va_sM)) /\ va_get_xmm 7 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.X64.Decls.buffer128_read in_b 5 (va_get_mem_heaplet 6 va_sM))) ==> va_k va_sM (())))
val va_wpProof_DecryptPrelude : in_b:buffer128 -> scratch_b:buffer128 -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_DecryptPrelude in_b scratch_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_DecryptPrelude ()) ([va_Mod_flags;
va_Mod_mem_heaplet 3; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3;
va_Mod_xmm 2; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_DecryptPrelude in_b scratch_b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_DecryptPrelude (va_code_DecryptPrelude ()) va_s0 in_b scratch_b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 3 va_sM (va_update_xmm 7
va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3
va_sM (va_update_xmm 2 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm
5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_mem]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_DecryptPrelude (in_b:buffer128) (scratch_b:buffer128) : (va_quickCode unit
(va_code_DecryptPrelude ())) =
(va_QProc (va_code_DecryptPrelude ()) ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_xmm 7;
va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_mem])
(va_wp_DecryptPrelude in_b scratch_b) (va_wpProof_DecryptPrelude in_b scratch_b))
//--
//-- AES_GCM_decrypt_6mult
#push-options "--z3rlimit 100"
[@ "opaque_to_smt" va_qattr]
let va_code_AES_GCM_decrypt_6mult alg =
(va_Block (va_CCons (va_IfElse (va_cmp_eq (va_op_cmp_reg64 rRdx) (va_const_cmp 0)) (va_Block
(va_CCons (va_code_VPshufb (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm 0)) (va_CCons
(va_code_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 1) 32 Secret) (va_CNil ())))) (va_Block (va_CCons (va_code_Store128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 8) 32 Secret)
(va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 128)) (va_CCons
(va_code_Pextrq (va_op_dst_opr64_reg64 rRbx) (va_op_xmm_xmm 1) 0) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 255)) (va_CCons (va_code_VPshufb (va_op_xmm_xmm 1)
(va_op_xmm_xmm 1) (va_op_xmm_xmm 0)) (va_CCons (va_code_AddLea64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRdi) (va_const_opr64 96)) (va_CCons (va_code_Load128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 8) (va_op_reg_opr64_reg64 rRbp) 32 Secret)
(va_CCons (va_code_DecryptPrelude ()) (va_CCons (va_code_Ctr32_ghash_6_prelude alg) (va_CCons
(va_code_Loop6x_loop_decrypt alg) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet
3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 1) 32 Secret) (va_CCons (va_code_Store128_buffer
(va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 9) (0 - 96) Secret)
(va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 10) (0 - 80) Secret) (va_CCons (va_code_Store128_buffer
(va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 11) (0 - 64) Secret)
(va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 12) (0 - 48) Secret) (va_CCons (va_code_Store128_buffer
(va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 13) (0 - 32) Secret)
(va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 14) (0 - 16) Secret) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 128))
(va_CNil ()))))))))))))))))))))))) (va_CNil ())))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_AES_GCM_decrypt_6mult alg =
(va_pbool_and (va_pbool_and (va_codegen_success_VPshufb (va_op_xmm_xmm 1) (va_op_xmm_xmm 1)
(va_op_xmm_xmm 0)) (va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet
3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 1) 32 Secret) (va_pbool_and
(va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 8) 32 Secret) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64
rRcx) (va_const_opr64 128)) (va_pbool_and (va_codegen_success_Pextrq (va_op_dst_opr64_reg64
rRbx) (va_op_xmm_xmm 1) 0) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbx)
(va_const_opr64 255)) (va_pbool_and (va_codegen_success_VPshufb (va_op_xmm_xmm 1)
(va_op_xmm_xmm 1) (va_op_xmm_xmm 0)) (va_pbool_and (va_codegen_success_AddLea64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdi) (va_const_opr64 96)) (va_pbool_and
(va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 8)
(va_op_reg_opr64_reg64 rRbp) 32 Secret) (va_pbool_and (va_codegen_success_DecryptPrelude ())
(va_pbool_and (va_codegen_success_Ctr32_ghash_6_prelude alg) (va_pbool_and
(va_codegen_success_Loop6x_loop_decrypt alg) (va_pbool_and (va_codegen_success_Store128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 1) 32 Secret)
(va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 6)
(va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 9) (0 - 96) Secret) (va_pbool_and
(va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 10) (0 - 80) Secret) (va_pbool_and (va_codegen_success_Store128_buffer
(va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 11) (0 - 64) Secret)
(va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 6)
(va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 12) (0 - 48) Secret) (va_pbool_and
(va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 13) (0 - 32) Secret) (va_pbool_and (va_codegen_success_Store128_buffer
(va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi) (va_op_xmm_xmm 14) (0 - 16) Secret)
(va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 128)))))))))))))))))))))
(va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_AES_GCM_decrypt_6mult (va_mods:va_mods_t) (alg:algorithm) (h_LE:quad32)
(iv_b:buffer128) (in_b:buffer128) (out_b:buffer128) (scratch_b:buffer128) (key_words:(seq nat32))
(round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) : (va_quickCode unit
(va_code_AES_GCM_decrypt_6mult alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2445 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_qIf va_mods (Cmp_eq (va_op_cmp_reg64 rRdx) (va_const_cmp 0)) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2453 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2454 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 1) 32 Secret scratch_b 2) (fun (va_s:va_state) _ -> let
(va_arg71:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_old_s in let (va_arg70:(FStar.Seq.Base.seq
Vale.Def.Types_s.nat32)) = key_words in let (va_arg69:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b in let
(va_arg68:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) in_b in let (va_arg67:Vale.AES.AES_common_s.algorithm) = alg in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2455 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_partial_opaque_init va_arg67 va_arg68 va_arg69 va_arg70
va_arg71) (va_QEmpty (())))))) (qblock va_mods (fun (va_s:va_state) -> let
(plain_quads:(FStar.Seq.Base.seq Vale.X64.Decls.quad32)) = Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) in_b in let (y_orig:Vale.Def.Types_s.quad32) =
Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2461 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 8) 32 Secret scratch_b 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2462 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 128)) (fun (va_s:va_state) _ ->
let (ctr_BE:quad32) = va_get_xmm 1 va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2464 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Pextrq (va_op_dst_opr64_reg64 rRbx) (va_op_xmm_xmm 1) 0) (fun (va_s:va_state) _ ->
let (full_counter:nat64) = va_get_reg64 rRbx va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2466 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 255)) (fun (va_s:va_state) _ ->
let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in let
(va_arg88:Vale.Def.Types_s.nat64) = full_counter in let (va_arg87:Vale.Def.Types_s.quad32) =
va_get_xmm 1 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2467 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.lemma_counter_init va_arg87 va_arg88 va_arg89) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 2469 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2472 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdi) (va_const_opr64 96))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2475 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 8) (va_op_reg_opr64_reg64
rRbp) 32 Secret scratch_b 2) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2478 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_DecryptPrelude in_b scratch_b) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2480 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Ctr32_ghash_6_prelude alg scratch_b key_words round_keys keys_b
(Vale.AES.GCTR_s.inc32 ctr_BE 0)) (fun (va_s:va_state) _ -> let (mid_len:nat64) = va_get_reg64
rRdx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2482 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_zero ()) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2483 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_zero va_arg86) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 2484 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s) == add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
scratch_b 1 (va_get_mem_heaplet 3 va_s)))) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 2485 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s)) ==
va_get_xmm 8 va_s) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2486 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x_loop_decrypt alg h_LE (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8
va_s)) (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s)) iv_b in_b in_b out_b
scratch_b key_words round_keys keys_b hkeys_b ctr_BE (Vale.AES.GCTR_s.inc32 ctr_BE 0)) (fun
(va_s:va_state) (y_new:quad32) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 2488 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 1) 32 Secret scratch_b 2) (fun (va_s:va_state) _ -> let
(out_snapshot:(FStar.Seq.Base.seq Vale.X64.Decls.quad32)) = Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) out_b in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2492 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 9) (0 - 96) Secret out_b (va_get_reg64 rRdx va_old_s - 6 + 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 2493 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 10) (0 - 80) Secret out_b (va_get_reg64 rRdx va_old_s - 6 + 1)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 2494 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 11) (0 - 64) Secret out_b (va_get_reg64 rRdx va_old_s - 6 + 2)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 2495 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 12) (0 - 48) Secret out_b (va_get_reg64 rRdx va_old_s - 6 + 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 2496 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 13) (0 - 32) Secret out_b (va_get_reg64 rRdx va_old_s - 6 + 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 2497 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 6) (va_op_reg_opr64_reg64 rRsi)
(va_op_xmm_xmm 14) (0 - 16) Secret out_b (va_get_reg64 rRdx va_old_s - 6 + 5)) (fun
(va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 2499 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(mid_len - 6 >= 0 /\ mid_len - 6 <= 4294967295) (fun _ -> let
(va_arg85:Vale.Def.Types_s.quad32) = ctr_BE in let (va_arg84:(FStar.Seq.Base.seq
Vale.Def.Types_s.nat32)) = key_words in let (va_arg83:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b in let
(va_arg82:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = out_snapshot in let
(va_arg81:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old_s) in_b in let (va_arg80:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old_s) in_b in let
(va_arg79:Vale.Def.Types_s.nat32) = mid_len - 6 in let
(va_arg78:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2499 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_partial_opaque_ignores_postfix va_arg78 va_arg79 va_arg80
va_arg81 va_arg82 va_arg83 va_arg84 va_arg85) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 2500 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(mid_len - 6 >= 0 /\ mid_len - 6 <= 4294967295) (fun _ -> let
(va_arg77:Vale.Def.Types_s.quad32) = ctr_BE in let (va_arg76:(FStar.Seq.Base.seq
Vale.Def.Types_s.nat32)) = key_words in let (va_arg75:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b in let
(va_arg74:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old_s) in_b in let (va_arg73:Prims.nat) = mid_len - 6 in let
(va_arg72:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 2500 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_partial_extend6 va_arg72 va_arg73 va_arg74 va_arg75
va_arg76 va_arg77) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 2505 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 128)) (va_QEmpty
(()))))))))))))))))))))))))))))))) (fun (va_s:va_state) va_g -> va_QEmpty (())))) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.State.fsti.checked",
"Vale.X64.QuickCodes.fsti.checked",
"Vale.X64.QuickCode.fst.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.InsVector.fsti.checked",
"Vale.X64.InsMem.fsti.checked",
"Vale.X64.InsBasic.fsti.checked",
"Vale.X64.InsAes.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fsti.checked",
"Vale.X64.CPU_Features_s.fst.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.AES.X64.PolyOps.fsti.checked",
"Vale.AES.X64.AESopt2.fsti.checked",
"Vale.AES.X64.AESopt.fsti.checked",
"Vale.AES.GHash.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_s.fst.checked",
"Vale.AES.GCTR.fsti.checked",
"Vale.AES.GCM_helpers.fsti.checked",
"Vale.AES.AES_s.fst.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_common_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked"
],
"interface_file": true,
"source_file": "Vale.AES.X64.AESGCM.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.AES.X64.AESopt2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.X64.AESopt",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash",
"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.X64.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsAes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"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": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.X64.AESopt2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.X64.AESopt",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash",
"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.X64.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsAes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"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": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.X64",
"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": 100,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_b0: Vale.X64.Decls.va_code ->
va_s0: Vale.X64.Decls.va_state ->
alg: Vale.AES.AES_common_s.algorithm ->
h_LE: Vale.X64.Decls.quad32 ->
iv_b: Vale.X64.Memory.buffer128 ->
in_b: Vale.X64.Memory.buffer128 ->
out_b: Vale.X64.Memory.buffer128 ->
scratch_b: Vale.X64.Memory.buffer128 ->
key_words: FStar.Seq.Base.seq Vale.X64.Memory.nat32 ->
round_keys: FStar.Seq.Base.seq Vale.X64.Decls.quad32 ->
keys_b: Vale.X64.Memory.buffer128 ->
hkeys_b: Vale.X64.Memory.buffer128
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.AES.AES_common_s.algorithm",
"Vale.X64.Decls.quad32",
"Vale.X64.Memory.buffer128",
"FStar.Seq.Base.seq",
"Vale.X64.Memory.nat32",
"Vale.X64.QuickCodes.fuel",
"Prims.unit",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_fuel",
"Vale.X64.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.X64.QuickCode.mod_t",
"Vale.X64.QuickCode.va_Mod_flags",
"Vale.X64.QuickCode.va_Mod_mem_heaplet",
"Vale.X64.QuickCode.va_Mod_xmm",
"Vale.X64.QuickCode.va_Mod_reg64",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Machine_s.rR13",
"Vale.X64.Machine_s.rR12",
"Vale.X64.Machine_s.rR11",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rRcx",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Machine_s.rRsi",
"Vale.X64.Machine_s.rRdi",
"Vale.X64.Machine_s.rRax",
"Vale.X64.QuickCode.va_Mod_ok",
"Vale.X64.QuickCode.va_Mod_mem",
"Prims.Nil",
"FStar.Pervasives.assert_norm",
"Prims.eq2",
"Prims.list",
"Vale.X64.QuickCode.__proj__QProc__item__mods",
"Vale.AES.X64.AESGCM.va_code_AES_GCM_decrypt_6mult",
"FStar.Pervasives.Native.tuple2",
"FStar.Pervasives.Native.tuple3",
"Vale.X64.State.vale_state",
"Vale.X64.QuickCodes.va_wp_sound_code_norm",
"Prims.l_and",
"Vale.X64.QuickCodes.label",
"Vale.X64.QuickCodes.va_range1",
"Prims.b2t",
"Vale.X64.Decls.va_get_ok",
"Vale.X64.Decls.modifies_buffer128",
"Vale.X64.Decls.va_get_mem_heaplet",
"Vale.X64.Decls.modifies_buffer_specific128",
"Vale.Def.Types_s.nat64",
"Vale.X64.Decls.va_get_reg64",
"Vale.AES.GCTR.gctr_partial",
"Vale.X64.Decls.s128",
"Vale.X64.Decls.va_get_xmm",
"Vale.Def.Types_s.quad32",
"Vale.Def.Types_s.reverse_bytes_quad32",
"Vale.AES.GHash.ghash_incremental0",
"Prims.op_LessThan",
"Vale.X64.Machine_s.pow2_32",
"Vale.X64.Decls.buffer128_read",
"Vale.AES.GCTR.inc32lite",
"Vale.X64.QuickCode.quickCode",
"Vale.AES.X64.AESGCM.va_qcode_AES_GCM_decrypt_6mult"
] | [] | false | false | false | false | false | let va_lemma_AES_GCM_decrypt_6mult
va_b0
va_s0
alg
h_LE
iv_b
in_b
out_b
scratch_b
key_words
round_keys
keys_b
hkeys_b
=
| let va_mods:va_mods_t =
[
va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 6; va_Mod_xmm 15;
va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9;
va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2;
va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdi; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem
]
in
let va_qc =
va_qcode_AES_GCM_decrypt_6mult va_mods alg h_LE iv_b in_b out_b scratch_b key_words round_keys
keys_b hkeys_b
in
let va_sM, va_fM, va_g =
va_wp_sound_code_norm (va_code_AES_GCM_decrypt_6mult alg)
va_qc
va_s0
(fun va_s0 va_sM va_g ->
let () = va_g in
label va_range1
"***** POSTCONDITION NOT MET AT line 2359 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\
(label va_range1
"***** POSTCONDITION NOT MET AT line 2429 column 53 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer128 out_b
(va_get_mem_heaplet 6 va_s0)
(va_get_mem_heaplet 6 va_sM)) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 2430 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer128 iv_b
(va_get_mem_heaplet 2 va_s0)
(va_get_mem_heaplet 2 va_sM)) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 2431 column 72 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b
(va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM)
1
8) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 2433 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 2436 column 100 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.AES.GCTR.gctr_partial alg
(va_get_reg64 rRdx va_s0)
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in_b)
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out_b)
key_words
(va_get_xmm 1 va_s0)) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 2439 column 116 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_sM) ==
Vale.AES.GHash.ghash_incremental0 h_LE
(Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s0))
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in_b)) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 2443 column 98 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(l_and (va_get_reg64 rRdx va_s0 < pow2_32)
(Vale.X64.Decls.buffer128_read scratch_b 2 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite (va_get_xmm 1 va_s0
)
(va_get_reg64 rRdx va_s0))))))
in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([
va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 6; va_Mod_xmm 15;
va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9;
va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3;
va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem
])
va_sM
va_s0;
(va_sM, va_fM) | false |
Vale.X64.InsAes.fst | Vale.X64.InsAes.va_lemma_VPclmulqdq | val va_lemma_VPclmulqdq : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm ->
src1:va_operand_xmm -> src2:va_operand_xmm -> src1Hi:bool -> src2Hi:bool
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi) va_s0 /\
va_is_dst_xmm dst va_s0 /\ va_is_src_xmm src1 va_s0 /\ va_is_src_xmm src2 va_s0 /\ va_get_ok
va_s0 /\ (pclmulqdq_enabled /\ avx_enabled)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2.Bits_s.of_double32 (if src1Hi then Vale.Arch.Types.quad32_double_hi
(va_eval_xmm va_s0 src1) else Vale.Arch.Types.quad32_double_lo (va_eval_xmm va_s0 src1)))
(Vale.Math.Poly2.Bits_s.of_double32 (if src2Hi then Vale.Arch.Types.quad32_double_hi
(va_eval_xmm va_s0 src2) else Vale.Arch.Types.quad32_double_lo (va_eval_xmm va_s0 src2)))) /\
va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM
va_s0))))) | val va_lemma_VPclmulqdq : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm ->
src1:va_operand_xmm -> src2:va_operand_xmm -> src1Hi:bool -> src2Hi:bool
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi) va_s0 /\
va_is_dst_xmm dst va_s0 /\ va_is_src_xmm src1 va_s0 /\ va_is_src_xmm src2 va_s0 /\ va_get_ok
va_s0 /\ (pclmulqdq_enabled /\ avx_enabled)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2.Bits_s.of_double32 (if src1Hi then Vale.Arch.Types.quad32_double_hi
(va_eval_xmm va_s0 src1) else Vale.Arch.Types.quad32_double_lo (va_eval_xmm va_s0 src1)))
(Vale.Math.Poly2.Bits_s.of_double32 (if src2Hi then Vale.Arch.Types.quad32_double_hi
(va_eval_xmm va_s0 src2) else Vale.Arch.Types.quad32_double_lo (va_eval_xmm va_s0 src2)))) /\
va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM
va_s0))))) | let va_lemma_VPclmulqdq va_b0 va_s0 dst src1 src2 src1Hi src2Hi =
va_reveal_opaque (`%va_code_VPclmulqdq) (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then
16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0)
+ (if src2Hi then 16 else 0))) (OReg dst) (OReg src1) (OReg src2))) va_s0 in
(va_sM, va_fM) | {
"file_name": "obj/Vale.X64.InsAes.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 70,
"start_col": 0,
"start_line": 63
} | module Vale.X64.InsAes
open Vale.Def.Types_s
open Vale.X64.Machine_s
open Vale.X64
open Vale.X64.State
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.Decls
open Vale.X64.CPU_Features_s
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
module P = Vale.X64.Print_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 4 --max_fuel 4 --z3rlimit 20"
//-- Pclmulqdq
[@ "opaque_to_smt"]
let va_code_Pclmulqdq dst src dstHi srcHi =
(mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16 else 0)))
(OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_Pclmulqdq dst src dstHi srcHi =
(va_ttrue ())
[@"opaque_to_smt"]
let va_lemma_Pclmulqdq va_b0 va_s0 dst src dstHi srcHi =
va_reveal_opaque (`%va_code_Pclmulqdq) (va_code_Pclmulqdq dst src dstHi srcHi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16
else 0))) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) +
(if srcHi then 16 else 0))) (OReg dst) (OReg src))) va_s0 in
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Pclmulqdq dst src dstHi srcHi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Pclmulqdq (va_code_Pclmulqdq dst src dstHi srcHi) va_s0 dst src
dstHi srcHi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst
va_sM va_s0))));
va_lemma_norm_mods ([va_Mod_flags; va_mod_xmm dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- VPclmulqdq
[@ "opaque_to_smt"]
let va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) + (if src2Hi then 16 else 0)))
(OReg dst) (OReg src1) (OReg src2)))
[@ "opaque_to_smt"]
let va_codegen_success_VPclmulqdq dst src1 src2 src1Hi src2Hi =
(va_ttrue ()) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.State.fsti.checked",
"Vale.X64.Print_s.fst.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.AES.AES_s.fst.checked",
"Vale.AES.AES_common_s.fst.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsAes.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Print_s",
"short_module": "P"
},
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"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.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"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": 4,
"initial_ifuel": 0,
"max_fuel": 4,
"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 |
va_b0: Vale.X64.Decls.va_code ->
va_s0: Vale.X64.Decls.va_state ->
dst: Vale.X64.Decls.va_operand_xmm ->
src1: Vale.X64.Decls.va_operand_xmm ->
src2: Vale.X64.Decls.va_operand_xmm ->
src1Hi: Prims.bool ->
src2Hi: Prims.bool
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.Decls.va_operand_xmm",
"Prims.bool",
"Vale.X64.State.vale_state",
"Vale.X64.Lemmas.fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.tuple2",
"Prims.nat",
"Vale.X64.Decls.va_eval_ins",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.out",
"Vale.X64.Instruction_s.opXmm",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_VPclmulqdq",
"Prims.op_Addition",
"Prims.int",
"Vale.X64.Machine_s.OReg",
"Vale.X64.Machine_s.quad32",
"Vale.X64.Machine_s.reg_xmm",
"Prims.unit",
"Vale.X64.Decls.va_ins_lemma",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.InsAes.va_code_VPclmulqdq"
] | [] | false | false | false | false | false | let va_lemma_VPclmulqdq va_b0 va_s0 dst src1 src2 src1Hi src2Hi =
| va_reveal_opaque (`%va_code_VPclmulqdq) (va_code_VPclmulqdq dst src1 src2 src1Hi src2Hi);
let va_old_s:va_state = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) +
(if src2Hi then 16 else 0)))
(OReg dst)
(OReg src1)
(OReg src2)))
va_s0;
let va_sM, va_fM =
va_eval_ins (mk_ins (make_instr (I.ins_VPclmulqdq ((if src1Hi then 1 else 0) +
(if src2Hi then 16 else 0)))
(OReg dst)
(OReg src1)
(OReg src2)))
va_s0
in
(va_sM, va_fM) | false |
Vale.X64.InsAes.fst | Vale.X64.InsAes.va_lemma_Pclmulqdq | val va_lemma_Pclmulqdq : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm ->
src:va_operand_xmm -> dstHi:bool -> srcHi:bool
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Pclmulqdq dst src dstHi srcHi) va_s0 /\ va_is_dst_xmm
dst va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ pclmulqdq_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2.Bits_s.of_double32 (if dstHi then Vale.Arch.Types.quad32_double_hi
(va_eval_xmm va_s0 dst) else Vale.Arch.Types.quad32_double_lo (va_eval_xmm va_s0 dst)))
(Vale.Math.Poly2.Bits_s.of_double32 (if srcHi then Vale.Arch.Types.quad32_double_hi
(va_eval_xmm va_s0 src) else Vale.Arch.Types.quad32_double_lo (va_eval_xmm va_s0 src)))) /\
va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM
va_s0))))) | val va_lemma_Pclmulqdq : va_b0:va_code -> va_s0:va_state -> dst:va_operand_xmm ->
src:va_operand_xmm -> dstHi:bool -> srcHi:bool
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Pclmulqdq dst src dstHi srcHi) va_s0 /\ va_is_dst_xmm
dst va_s0 /\ va_is_src_xmm src va_s0 /\ va_get_ok va_s0 /\ pclmulqdq_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_xmm va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2.Bits_s.of_double32 (if dstHi then Vale.Arch.Types.quad32_double_hi
(va_eval_xmm va_s0 dst) else Vale.Arch.Types.quad32_double_lo (va_eval_xmm va_s0 dst)))
(Vale.Math.Poly2.Bits_s.of_double32 (if srcHi then Vale.Arch.Types.quad32_double_hi
(va_eval_xmm va_s0 src) else Vale.Arch.Types.quad32_double_lo (va_eval_xmm va_s0 src)))) /\
va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_xmm dst va_sM
va_s0))))) | let va_lemma_Pclmulqdq va_b0 va_s0 dst src dstHi srcHi =
va_reveal_opaque (`%va_code_Pclmulqdq) (va_code_Pclmulqdq dst src dstHi srcHi);
let (va_old_s:va_state) = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16
else 0))) (OReg dst) (OReg src))) va_s0;
let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) +
(if srcHi then 16 else 0))) (OReg dst) (OReg src))) va_s0 in
(va_sM, va_fM) | {
"file_name": "obj/Vale.X64.InsAes.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 36,
"start_col": 0,
"start_line": 29
} | module Vale.X64.InsAes
open Vale.Def.Types_s
open Vale.X64.Machine_s
open Vale.X64
open Vale.X64.State
open Vale.X64.StateLemmas
open Vale.X64.InsLemmas
open Vale.X64.Taint_Semantics
open Vale.X64.Decls
open Vale.X64.CPU_Features_s
module I = Vale.X64.Instructions_s
module S = Vale.X64.Machine_Semantics_s
module P = Vale.X64.Print_s
friend Vale.X64.Decls
#reset-options "--initial_fuel 4 --max_fuel 4 --z3rlimit 20"
//-- Pclmulqdq
[@ "opaque_to_smt"]
let va_code_Pclmulqdq dst src dstHi srcHi =
(mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) + (if srcHi then 16 else 0)))
(OReg dst) (OReg src)))
[@ "opaque_to_smt"]
let va_codegen_success_Pclmulqdq dst src dstHi srcHi =
(va_ttrue ()) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.Taint_Semantics.fst.checked",
"Vale.X64.StateLemmas.fsti.checked",
"Vale.X64.State.fsti.checked",
"Vale.X64.Print_s.fst.checked",
"Vale.X64.Machine_Semantics_s.fst.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.Instructions_s.fsti.checked",
"Vale.X64.InsLemmas.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.Decls.fst.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.AES.AES_s.fst.checked",
"Vale.AES.AES_common_s.fst.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.X64.InsAes.fst"
} | [
{
"abbrev": true,
"full_module": "Vale.X64.Print_s",
"short_module": "P"
},
{
"abbrev": true,
"full_module": "Vale.X64.Machine_Semantics_s",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "Vale.X64.Instructions_s",
"short_module": "I"
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Taint_Semantics",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.StateLemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"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.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64",
"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": 4,
"initial_ifuel": 0,
"max_fuel": 4,
"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 |
va_b0: Vale.X64.Decls.va_code ->
va_s0: Vale.X64.Decls.va_state ->
dst: Vale.X64.Decls.va_operand_xmm ->
src: Vale.X64.Decls.va_operand_xmm ->
dstHi: Prims.bool ->
srcHi: Prims.bool
-> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.Decls.va_operand_xmm",
"Prims.bool",
"Vale.X64.State.vale_state",
"Vale.X64.Lemmas.fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.tuple2",
"Prims.nat",
"Vale.X64.Decls.va_eval_ins",
"Vale.X64.Taint_Semantics.mk_ins",
"Vale.X64.InsLemmas.make_instr",
"Prims.Cons",
"Vale.X64.Instruction_s.instr_out",
"Vale.X64.Instruction_s.inOut",
"Vale.X64.Instruction_s.opXmm",
"Prims.Nil",
"Vale.X64.Instruction_s.instr_operand",
"Vale.X64.Instruction_s.PreserveFlags",
"Vale.X64.Instructions_s.ins_Pclmulqdq",
"Prims.op_Addition",
"Prims.int",
"Vale.X64.Machine_s.OReg",
"Vale.X64.Machine_s.quad32",
"Vale.X64.Machine_s.reg_xmm",
"Prims.unit",
"Vale.X64.Decls.va_ins_lemma",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.InsAes.va_code_Pclmulqdq"
] | [] | false | false | false | false | false | let va_lemma_Pclmulqdq va_b0 va_s0 dst src dstHi srcHi =
| va_reveal_opaque (`%va_code_Pclmulqdq) (va_code_Pclmulqdq dst src dstHi srcHi);
let va_old_s:va_state = va_s0 in
va_ins_lemma (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) +
(if srcHi then 16 else 0)))
(OReg dst)
(OReg src)))
va_s0;
let va_sM, va_fM =
va_eval_ins (mk_ins (make_instr (I.ins_Pclmulqdq ((if dstHi then 1 else 0) +
(if srcHi then 16 else 0)))
(OReg dst)
(OReg src)))
va_s0
in
(va_sM, va_fM) | false |
Vale.Curve25519.X64.FastWide.fsti | Vale.Curve25519.X64.FastWide.va_ens_Fmul | val va_ens_Fmul
(va_b0: va_code)
(va_s0: va_state)
(tmp_b inA_b dst_b inB_b: buffer64)
(va_sM: va_state)
(va_fM: va_fuel)
: prop | val va_ens_Fmul
(va_b0: va_code)
(va_s0: va_state)
(tmp_b inA_b dst_b inB_b: buffer64)
(va_sM: va_state)
(va_fM: va_fuel)
: prop | let va_ens_Fmul (va_b0:va_code) (va_s0:va_state) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
(inB_b:buffer64) (va_sM:va_state) (va_fM:va_fuel) : prop =
(va_req_Fmul va_b0 va_s0 tmp_b inA_b dst_b inB_b /\ va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) =
va_get_reg64 rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) =
va_get_reg64 rRcx va_s0 in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in
let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM)) /\ va_state_eq va_sM (va_update_mem_layout va_sM
(va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsi va_sM
(va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem
va_sM va_s0)))))))))))))))))) | {
"file_name": "obj/Vale.Curve25519.X64.FastWide.fsti",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 33,
"end_line": 63,
"start_col": 0,
"start_line": 37
} | module Vale.Curve25519.X64.FastWide
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.X64.Machine_s
open Vale.X64.Memory
open Vale.X64.Stack_i
open Vale.X64.State
open Vale.X64.Decls
open Vale.X64.InsBasic
open Vale.X64.InsMem
open Vale.X64.InsStack
open Vale.X64.QuickCode
open Vale.X64.QuickCodes
open Vale.Curve25519.Fast_defs
open Vale.X64.CPU_Features_s
//-- Fmul
val va_code_Fmul : va_dummy:unit -> Tot va_code
val va_codegen_success_Fmul : va_dummy:unit -> Tot va_pbool
let va_req_Fmul (va_b0:va_code) (va_s0:va_state) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
(inB_b:buffer64) : prop =
(va_require_total va_b0 (va_code_Fmul ()) va_s0 /\ va_get_ok va_s0 /\ (let (tmp_in:nat64) =
va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0 in let (dst_in:nat64) =
va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64 rRcx va_s0 in adx_enabled /\
bmi2_enabled /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in | {
"checked_file": "/",
"dependencies": [
"Vale.X64.State.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.QuickCodes.fsti.checked",
"Vale.X64.QuickCode.fst.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.InsStack.fsti.checked",
"Vale.X64.InsMem.fsti.checked",
"Vale.X64.InsBasic.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fsti.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Curve25519.Fast_defs.fst.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": false,
"source_file": "Vale.Curve25519.X64.FastWide.fsti"
} | [
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Curve25519.Fast_defs",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsStack",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_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": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Curve25519.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Curve25519.X64",
"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": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_b0: Vale.X64.Decls.va_code ->
va_s0: Vale.X64.Decls.va_state ->
tmp_b: Vale.X64.Memory.buffer64 ->
inA_b: Vale.X64.Memory.buffer64 ->
dst_b: Vale.X64.Memory.buffer64 ->
inB_b: Vale.X64.Memory.buffer64 ->
va_sM: Vale.X64.Decls.va_state ->
va_fM: Vale.X64.Decls.va_fuel
-> Prims.prop | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.Memory.buffer64",
"Vale.X64.Decls.va_fuel",
"Prims.l_and",
"Vale.Curve25519.X64.FastWide.va_req_Fmul",
"Vale.X64.Decls.va_ensure_total",
"Prims.b2t",
"Vale.X64.Decls.va_get_ok",
"Prims.eq2",
"Prims.int",
"Prims.op_Modulus",
"Vale.Curve25519.Fast_defs.prime",
"Vale.X64.Decls.va_mul_nat",
"Vale.X64.Decls.modifies_buffer_2",
"Vale.X64.Decls.va_get_mem",
"Prims.nat",
"Vale.Curve25519.Fast_defs.pow2_four",
"Vale.Def.Words_s.nat64",
"Vale.X64.Decls.buffer64_read",
"Vale.X64.Decls.va_get_reg64",
"Vale.X64.Machine_s.rRcx",
"Vale.X64.Machine_s.rR15",
"Vale.X64.Machine_s.rRsi",
"Vale.X64.Machine_s.rRdi",
"Vale.X64.Decls.va_state_eq",
"Vale.X64.Decls.va_update_mem_layout",
"Vale.X64.Decls.va_update_mem_heaplet",
"Vale.X64.Decls.va_update_flags",
"Vale.X64.Decls.va_update_reg64",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Machine_s.rR13",
"Vale.X64.Machine_s.rR11",
"Vale.X64.Machine_s.rR10",
"Vale.X64.Machine_s.rR9",
"Vale.X64.Machine_s.rR8",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Decls.va_update_ok",
"Vale.X64.Decls.va_update_mem",
"Prims.prop"
] | [] | false | false | false | true | true | let va_ens_Fmul
(va_b0: va_code)
(va_s0: va_state)
(tmp_b inA_b dst_b inB_b: buffer64)
(va_sM: va_state)
(va_fM: va_fuel)
: prop =
| (va_req_Fmul va_b0 va_s0 tmp_b inA_b dst_b inB_b /\ va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\
(let tmp_in:nat64 = va_get_reg64 rRdi va_s0 in
let inA_in:nat64 = va_get_reg64 rRsi va_s0 in
let dst_in:nat64 = va_get_reg64 rR15 va_s0 in
let inB_in:nat64 = va_get_reg64 rRcx va_s0 in
let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in
let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in
let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in
let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in
let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in
let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in
let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in
let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in
let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in
let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in
let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in
let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in
let a = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in
let b = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in
let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in
d `op_Modulus` prime == (va_mul_nat a b) `op_Modulus` prime /\
Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b (va_get_mem va_s0) (va_get_mem va_sM)) /\
va_state_eq va_sM
(va_update_mem_layout va_sM
(va_update_mem_heaplet 0
va_sM
(va_update_flags va_sM
(va_update_reg64 rR14
va_sM
(va_update_reg64 rR13
va_sM
(va_update_reg64 rR11
va_sM
(va_update_reg64 rR10
va_sM
(va_update_reg64 rR9
va_sM
(va_update_reg64 rR8
va_sM
(va_update_reg64 rRsi
va_sM
(va_update_reg64 rRdi
va_sM
(va_update_reg64 rRdx
va_sM
(va_update_reg64 rRcx
va_sM
(va_update_reg64 rRbx
va_sM
(va_update_reg64 rRax
va_sM
(va_update_ok va_sM
(va_update_mem va_sM va_s0))))))
)))))))))))) | false |
Steel.ST.GenElim.fst | Steel.ST.GenElim.compute_gen_elim_tele_correct_exists_unit | val compute_gen_elim_tele_correct_exists_unit (ty: _) (body: (ty -> gen_unit_elim_i))
: Tot (ge_to_tele_t (GEExistsUnit #ty body)) | val compute_gen_elim_tele_correct_exists_unit (ty: _) (body: (ty -> gen_unit_elim_i))
: Tot (ge_to_tele_t (GEExistsUnit #ty body)) | let compute_gen_elim_tele_correct_exists_unit
(ty: _)
(body: ty -> gen_unit_elim_i)
: Tot (ge_to_tele_t (GEExistsUnit #ty body))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p _) (exists_ (fun x -> compute_gen_unit_elim_p (body x)));
let x = elim_exists' () in
compute_gen_unit_elim_f (body x) _;
intro_pure (compute_gen_unit_elim_post (body x));
intro_exists x (fun x -> compute_gen_unit_elim_q (body x) `star` pure (compute_gen_unit_elim_post (body x)));
rewrite_with_trefl (exists_ _) (tele_p _) | {
"file_name": "lib/steel/Steel.ST.GenElim.fst",
"git_rev": "f984200f79bdc452374ae994a5ca837496476c41",
"git_url": "https://github.com/FStarLang/steel.git",
"project_name": "steel"
} | {
"end_col": 43,
"end_line": 319,
"start_col": 0,
"start_line": 309
} | module Steel.ST.GenElim
let gen_elim_f
(p: vprop)
(a: Type0) // FIXME: generalize this universe
(q: (a -> vprop))
(post: (a -> prop))
: Tot Type
= ((opened: inames) -> STGhost a opened p q True post)
let gen_unit_elim_t (i: gen_unit_elim_i) : Tot Type =
gen_elim_f (compute_gen_unit_elim_p i) unit (fun _ -> compute_gen_unit_elim_q i) (fun _ -> compute_gen_unit_elim_post i)
let compute_gen_unit_elim_f_id
(v: vprop)
: Tot (gen_unit_elim_t (GUEId v))
= fun _ -> noop ()
let compute_gen_unit_elim_f_pure
(p: prop)
: Tot (gen_unit_elim_t (GUEPure p))
= fun _ ->
rewrite (compute_gen_unit_elim_p (GUEPure p)) (pure p);
elim_pure p
let compute_gen_unit_elim_f_star
(i1 i2: gen_unit_elim_i)
(f1: gen_unit_elim_t i1)
(f2: gen_unit_elim_t i2)
: Tot (gen_unit_elim_t (GUEStar i1 i2))
= fun _ ->
rewrite (compute_gen_unit_elim_p (GUEStar i1 i2)) (compute_gen_unit_elim_p i1 `star` compute_gen_unit_elim_p i2);
f1 _; f2 _;
rewrite (compute_gen_unit_elim_q i1 `star` compute_gen_unit_elim_q i2) (compute_gen_unit_elim_q (GUEStar i1 i2))
let rec compute_gen_unit_elim_f
(i: gen_unit_elim_i)
: GTot (gen_unit_elim_t i)
= match i returns (gen_unit_elim_t i) with
| GUEId v -> compute_gen_unit_elim_f_id v
| GUEPure p -> compute_gen_unit_elim_f_pure p
| GUEStar i1 i2 -> compute_gen_unit_elim_f_star i1 i2 (compute_gen_unit_elim_f i1) (compute_gen_unit_elim_f i2)
let gen_elim_t (i: gen_elim_i) : Tot Type =
gen_elim_f (compute_gen_elim_p i) (compute_gen_elim_a i) (compute_gen_elim_q i) (compute_gen_elim_post i)
let compute_gen_elim_f_unit
(i: gen_unit_elim_i)
: GTot (gen_elim_t (GEUnit i))
= compute_gen_unit_elim_f i
let compute_gen_elim_f_star_l
(i1: gen_elim_i)
(f1: gen_elim_t i1)
(i2: gen_unit_elim_i)
: GTot (gen_elim_t (GEStarL i1 i2))
= let f2 = compute_gen_unit_elim_f i2 in
fun _ ->
rewrite (compute_gen_elim_p (GEStarL i1 i2)) (compute_gen_elim_p i1 `star` compute_gen_unit_elim_p i2);
let res = f1 _ in
f2 _;
let res' : compute_gen_elim_a (GEStarL i1 i2) = coerce_with_trefl res in
rewrite (compute_gen_elim_q i1 res `star` compute_gen_unit_elim_q i2) (compute_gen_elim_q (GEStarL i1 i2) res');
res'
let compute_gen_elim_f_star_r
(i1: gen_unit_elim_i)
(i2: gen_elim_i)
(f2: gen_elim_t i2)
: GTot (gen_elim_t (GEStarR i1 i2))
= let f1 = compute_gen_unit_elim_f i1 in
fun _ ->
rewrite (compute_gen_elim_p (GEStarR i1 i2)) (compute_gen_unit_elim_p i1 `star` compute_gen_elim_p i2);
f1 _;
let res = f2 _ in
let res' : compute_gen_elim_a (GEStarR i1 i2) = coerce_with_trefl res in
rewrite (compute_gen_unit_elim_q i1 `star` compute_gen_elim_q i2 res) (compute_gen_elim_q (GEStarR i1 i2) res');
res'
let compute_gen_elim_f_star
(i1: gen_elim_i)
(f1: gen_elim_t i1)
(i2: gen_elim_i)
(f2: gen_elim_t i2)
: GTot (gen_elim_t (GEStar i1 i2))
= fun _ ->
rewrite (compute_gen_elim_p (GEStar i1 i2)) (compute_gen_elim_p i1 `star` compute_gen_elim_p i2);
let res1 = f1 _ in
let res2 = f2 _ in
let res : compute_gen_elim_a (GEStar i1 i2) = coerce_with_trefl (res1, res2) in
rewrite (compute_gen_elim_q i1 res1 `star` compute_gen_elim_q i2 res2) (compute_gen_elim_q (GEStar i1 i2) res);
res
let compute_gen_elim_f_exists_no_abs
(a: Type0)
(body: (a -> vprop))
: GTot (gen_elim_t (GEExistsNoAbs body))
= fun _ ->
rewrite (compute_gen_elim_p (GEExistsNoAbs body)) (exists_ body);
let gres = elim_exists () in
let res : compute_gen_elim_a (GEExistsNoAbs body) = coerce_with_trefl (Ghost.reveal gres) in
rewrite (body gres) (compute_gen_elim_q (GEExistsNoAbs body) res);
res
let rewrite_with_trefl (#opened:_) (p q:vprop)
: STGhost unit opened
p
(fun _ -> q)
(requires T.with_tactic T.trefl (p == q))
(ensures fun _ -> True)
= rewrite p q
let compute_gen_elim_f_exists_unit
(a: Type0)
(body: a -> gen_unit_elim_i)
: Tot (gen_elim_t (GEExistsUnit body))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p (GEExistsUnit body)) (exists_ (fun x -> compute_gen_unit_elim_p (body x)));
let gres = elim_exists () in
compute_gen_unit_elim_f (body gres) _;
let res : compute_gen_elim_a (GEExistsUnit body) = coerce_with_trefl (Ghost.reveal gres) in
rewrite (compute_gen_unit_elim_q (body gres)) (compute_gen_elim_q (GEExistsUnit body) res);
res
let compute_gen_elim_f_exists
(a: Type0)
(body: a -> gen_elim_i)
(f: (x: a) -> GTot (gen_elim_t (body x)))
: Tot (gen_elim_t (GEExists body))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p (GEExists body)) (exists_ (fun x -> compute_gen_elim_p (body x)));
let gres1 = elim_exists () in
let gres2 = f gres1 _ in
let res : compute_gen_elim_a (GEExists body) = coerce_with_trefl (Mkdtuple2 #a #(fun x -> compute_gen_elim_a (body x)) (Ghost.reveal gres1) (Ghost.reveal gres2)) in
rewrite (compute_gen_elim_q (body gres1) gres2) (compute_gen_elim_q (GEExists body) res);
res
let rec compute_gen_elim_f
(i: gen_elim_i)
: GTot (gen_elim_t i)
= match i returns (gen_elim_t i) with
| GEUnit i -> compute_gen_elim_f_unit i
| GEStarL i1 i2 -> compute_gen_elim_f_star_l i1 (compute_gen_elim_f i1) i2
| GEStarR i1 i2 -> compute_gen_elim_f_star_r i1 i2 (compute_gen_elim_f i2)
| GEStar i1 i2 -> compute_gen_elim_f_star i1 (compute_gen_elim_f i1) i2 (compute_gen_elim_f i2)
| GEExistsNoAbs body -> compute_gen_elim_f_exists_no_abs _ body
| GEExistsUnit body -> compute_gen_elim_f_exists_unit _ body
| GEExists body -> compute_gen_elim_f_exists _ body (fun x -> compute_gen_elim_f (body x))
let rec tele_p (x: gen_elim_tele) : Tot vprop =
match x with
| TRet v p -> v `star` pure p
| TExists ty body -> exists_ (fun x -> tele_p (body x))
let elim_exists' (#a:Type)
(#opened_invariants:_)
(#p:a -> vprop)
(_:unit)
: STGhostT (a) opened_invariants
(exists_ p)
(fun x -> p x)
= let gx = elim_exists () in
let x = Ghost.reveal gx in
rewrite (p gx) (p x);
x
let vprop_rewrite (from to: vprop) : Tot Type =
gen_elim_f from unit (fun _ -> to) (fun _ -> True)
let tele_star_vprop_correct_ret
(v': vprop) (p': prop) (v: vprop) (p: prop)
: Tot (vprop_rewrite (tele_p (TRet v' p') `star` v `star` pure p) (tele_p (tele_star_vprop (TRet v' p') v p)))
= fun _ ->
elim_pure p;
rewrite (tele_p _) (v' `star` pure p');
elim_pure p';
intro_pure (p /\ p');
rewrite ((v `star` v') `star` pure (p /\ p')) (tele_p _)
let tele_star_vprop_correct_exists
(v: vprop) (p: prop)
(ty: _) (body: ty -> gen_elim_tele) (ih: (x: ty) -> GTot (vprop_rewrite (tele_p (body x) `star` v `star` pure p) (tele_p (tele_star_vprop (body x) v p))))
: Tot (vprop_rewrite (tele_p (TExists ty body) `star` v `star` pure p) (tele_p (tele_star_vprop (TExists ty body) v p)))
= fun _ ->
rewrite_with_trefl (tele_p _) (exists_ (fun x -> tele_p (body x)));
let x = elim_exists' () in
ih x _;
intro_exists x (fun x -> tele_p (tele_star_vprop (body x) v p));
rewrite_with_trefl (exists_ (fun x -> tele_p (tele_star_vprop (body x) v p))) (tele_p _)
let rec tele_star_vprop_correct
(i: gen_elim_tele) (v: vprop) (p: prop)
: GTot (vprop_rewrite
(tele_p i `star` v `star` pure p)
(tele_p (tele_star_vprop i v p))
)
= match i returns vprop_rewrite
(tele_p i `star` v `star` pure p)
(tele_p (tele_star_vprop i v p)) with
| TRet v' p' -> tele_star_vprop_correct_ret v' p' v p
| TExists ty body -> tele_star_vprop_correct_exists v p ty body (fun x -> tele_star_vprop_correct (body x) v p)
let tele_star_correct_ret_l
(v1: vprop) (p1: prop) (i2: gen_elim_tele)
: Tot (vprop_rewrite (tele_p (TRet v1 p1) `star` tele_p i2) (tele_p (TRet v1 p1 `tele_star` i2)))
= fun _ ->
rewrite (tele_p (TRet v1 p1)) (v1 `star` pure p1);
tele_star_vprop_correct i2 v1 p1 _;
rewrite (tele_p _) (tele_p _)
let tele_star_correct_ret_r
(i1: gen_elim_tele { ~ (TRet? i1) }) (v2: vprop) (p2: prop)
: Tot (vprop_rewrite (tele_p i1 `star` tele_p (TRet v2 p2)) (tele_p (i1 `tele_star` TRet v2 p2)))
= fun _ ->
rewrite (tele_p (TRet v2 p2)) (v2 `star` pure p2);
tele_star_vprop_correct i1 v2 p2 _;
rewrite (tele_p _) (tele_p (i1 `tele_star` TRet v2 p2))
let tele_star_correct_exists
(ty1: _) (f1: ty1 -> gen_elim_tele) (ty2: _) (f2: ty2 -> gen_elim_tele)
(ih: (x1: ty1) -> (x2: ty2) -> GTot (vprop_rewrite (tele_p (f1 x1) `star` tele_p (f2 x2)) (tele_p (f1 x1 `tele_star` f2 x2))))
: Tot (vprop_rewrite (tele_p (TExists ty1 f1) `star` tele_p (TExists ty2 f2)) (tele_p (tele_star (TExists ty1 f1) (TExists ty2 f2))))
= fun _ ->
rewrite_with_trefl (tele_p (TExists ty1 f1)) (exists_ (fun x1 -> tele_p (f1 x1)));
let x1 = elim_exists' () in
rewrite_with_trefl (tele_p (TExists ty2 f2)) (exists_ (fun x2 -> tele_p (f2 x2)));
let x2 = elim_exists' () in
ih x1 x2 _;
intro_exists x2 (fun x2 -> tele_p (tele_star (f1 x1) (f2 x2)));
intro_exists x1 (fun x1 -> exists_ (fun x2 -> tele_p (tele_star (f1 x1) (f2 x2))));
rewrite_with_trefl (exists_ _) (tele_p _)
let rec tele_star_correct
(i1 i2: gen_elim_tele)
: GTot (vprop_rewrite (tele_p i1 `star` tele_p i2) (tele_p (i1 `tele_star` i2)))
= match i1 returns vprop_rewrite (tele_p i1 `star` tele_p i2) (tele_p (i1 `tele_star` i2)) with
| TRet v1 p1 -> tele_star_correct_ret_l v1 p1 i2
| TExists ty1 f1 ->
begin match i2 returns vprop_rewrite (tele_p (TExists ty1 f1) `star` tele_p i2) (tele_p (TExists ty1 f1 `tele_star` i2)) with
| TRet v2 p2 -> tele_star_correct_ret_r (TExists ty1 f1) v2 p2
| TExists ty2 f2 -> tele_star_correct_exists ty1 f1 ty2 f2 (fun x1 x2 -> tele_star_correct (f1 x1) (f2 x2))
end
[@@noextract_to "Plugin" ]
let ge_to_tele_t
(i: gen_elim_i)
: Tot Type
= vprop_rewrite (compute_gen_elim_p i) (tele_p (compute_gen_elim_tele i))
let compute_gen_elim_tele_correct_unit
(v: gen_unit_elim_i)
: Tot (ge_to_tele_t (GEUnit v))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p _) (compute_gen_unit_elim_p v);
compute_gen_unit_elim_f v _;
intro_pure (compute_gen_unit_elim_post v);
rewrite_with_trefl (compute_gen_unit_elim_q v `star` pure _) (tele_p _)
let compute_gen_elim_tele_correct_star_l
(l: gen_elim_i)
(ihl: ge_to_tele_t l)
(ru: gen_unit_elim_i)
: Tot (ge_to_tele_t (GEStarL l ru))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p _) (compute_gen_elim_p l `star` compute_gen_unit_elim_p ru);
ihl _;
compute_gen_unit_elim_f ru _;
intro_pure (compute_gen_unit_elim_post ru);
tele_star_vprop_correct _ _ _ _;
rewrite_with_trefl (tele_p _) (tele_p _)
let compute_gen_elim_tele_correct_star_r
(lu: gen_unit_elim_i)
(r: gen_elim_i)
(ihr: ge_to_tele_t r)
: Tot (ge_to_tele_t (GEStarR lu r))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p _) (compute_gen_unit_elim_p lu `star` compute_gen_elim_p r);
ihr _;
compute_gen_unit_elim_f lu _;
intro_pure (compute_gen_unit_elim_post lu);
tele_star_vprop_correct _ _ _ _;
rewrite_with_trefl (tele_p _) (tele_p _)
let compute_gen_elim_tele_correct_star
(l: gen_elim_i)
(ihl: ge_to_tele_t l)
(r: gen_elim_i)
(ihr: ge_to_tele_t r)
: Tot (ge_to_tele_t (GEStar l r))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p _) (compute_gen_elim_p l `star` compute_gen_elim_p r);
ihl _;
ihr _;
tele_star_correct (compute_gen_elim_tele l) (compute_gen_elim_tele r) _;
rewrite_with_trefl (tele_p _) (tele_p _)
let compute_gen_elim_tele_correct_exists_no_abs
(ty: _)
(body: ty -> vprop)
: Tot (ge_to_tele_t (GEExistsNoAbs #ty body))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p _) (exists_ body);
let x = elim_exists' () in
intro_pure True;
intro_exists x (fun x -> body x `star` pure True);
rewrite_with_trefl (exists_ _) (tele_p _) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Ghost.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": true,
"source_file": "Steel.ST.GenElim.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.Tactics",
"short_module": "T"
},
{
"abbrev": false,
"full_module": "Steel.ST.GenElim.Base",
"short_module": null
},
{
"abbrev": false,
"full_module": "Steel.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "Steel.ST",
"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 | ty: Type0 -> body: (_: ty -> Steel.ST.GenElim.Base.gen_unit_elim_i)
-> Steel.ST.GenElim.ge_to_tele_t (Steel.ST.GenElim.Base.GEExistsUnit body) | Prims.Tot | [
"total"
] | [] | [
"Steel.ST.GenElim.Base.gen_unit_elim_i",
"Steel.Memory.inames",
"Steel.ST.GenElim.rewrite_with_trefl",
"Steel.ST.Util.exists_",
"Steel.Effect.Common.star",
"Steel.ST.GenElim.Base.compute_gen_unit_elim_q",
"Steel.ST.Util.pure",
"Steel.ST.GenElim.Base.compute_gen_unit_elim_post",
"Steel.Effect.Common.vprop",
"Steel.ST.GenElim.tele_p",
"Steel.ST.GenElim.Base.compute_gen_elim_tele",
"Steel.ST.GenElim.Base.GEExistsUnit",
"Prims.unit",
"Steel.ST.Util.intro_exists",
"Steel.ST.Util.intro_pure",
"Steel.ST.GenElim.compute_gen_unit_elim_f",
"Steel.ST.GenElim.elim_exists'",
"Steel.ST.GenElim.Base.compute_gen_unit_elim_p",
"Steel.ST.GenElim.Base.compute_gen_elim_p",
"Steel.ST.GenElim.ge_to_tele_t"
] | [] | false | false | false | false | false | let compute_gen_elim_tele_correct_exists_unit (ty: _) (body: (ty -> gen_unit_elim_i))
: Tot (ge_to_tele_t (GEExistsUnit #ty body)) =
| fun _ ->
rewrite_with_trefl (compute_gen_elim_p _) (exists_ (fun x -> compute_gen_unit_elim_p (body x)));
let x = elim_exists' () in
compute_gen_unit_elim_f (body x) _;
intro_pure (compute_gen_unit_elim_post (body x));
intro_exists x
(fun x -> (compute_gen_unit_elim_q (body x)) `star` (pure (compute_gen_unit_elim_post (body x)))
);
rewrite_with_trefl (exists_ _) (tele_p _) | false |
Vale.Curve25519.X64.FastWide.fsti | Vale.Curve25519.X64.FastWide.va_wp_Fmul | val va_wp_Fmul
(tmp_b inA_b dst_b inB_b: buffer64)
(va_s0: va_state)
(va_k: (va_state -> unit -> Type0))
: Type0 | val va_wp_Fmul
(tmp_b inA_b dst_b inB_b: buffer64)
(va_s0: va_state)
(va_k: (va_state -> unit -> Type0))
: Type0 | let va_wp_Fmul (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64) (va_s0:va_state)
(va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) =
va_get_reg64 rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) =
va_get_reg64 rRcx va_s0 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Memory.is_initial_heap
(va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/
dst_b == inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64)
(va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rdi:nat64) (va_x_rsi:nat64)
(va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64)
(va_x_r14:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap)
(va_x_memLayout:vale_heap_layout) . let va_sM = va_upd_mem_layout va_x_memLayout
(va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64
rRdi va_x_rdi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx
va_x_rbx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))))))))) in va_get_ok
va_sM /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64
rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64
rRcx va_s0 in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1 =
Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM)) ==> va_k va_sM (()))) | {
"file_name": "obj/Vale.Curve25519.X64.FastWide.fsti",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 64,
"end_line": 147,
"start_col": 0,
"start_line": 107
} | module Vale.Curve25519.X64.FastWide
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.X64.Machine_s
open Vale.X64.Memory
open Vale.X64.Stack_i
open Vale.X64.State
open Vale.X64.Decls
open Vale.X64.InsBasic
open Vale.X64.InsMem
open Vale.X64.InsStack
open Vale.X64.QuickCode
open Vale.X64.QuickCodes
open Vale.Curve25519.Fast_defs
open Vale.X64.CPU_Features_s
//-- Fmul
val va_code_Fmul : va_dummy:unit -> Tot va_code
val va_codegen_success_Fmul : va_dummy:unit -> Tot va_pbool
let va_req_Fmul (va_b0:va_code) (va_s0:va_state) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
(inB_b:buffer64) : prop =
(va_require_total va_b0 (va_code_Fmul ()) va_s0 /\ va_get_ok va_s0 /\ (let (tmp_in:nat64) =
va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0 in let (dst_in:nat64) =
va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64 rRcx va_s0 in adx_enabled /\
bmi2_enabled /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret))
let va_ens_Fmul (va_b0:va_code) (va_s0:va_state) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
(inB_b:buffer64) (va_sM:va_state) (va_fM:va_fuel) : prop =
(va_req_Fmul va_b0 va_s0 tmp_b inA_b dst_b inB_b /\ va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) =
va_get_reg64 rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) =
va_get_reg64 rRcx va_s0 in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in
let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM)) /\ va_state_eq va_sM (va_update_mem_layout va_sM
(va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsi va_sM
(va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem
va_sM va_s0))))))))))))))))))
val va_lemma_Fmul : va_b0:va_code -> va_s0:va_state -> tmp_b:buffer64 -> inA_b:buffer64 ->
dst_b:buffer64 -> inB_b:buffer64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Fmul ()) va_s0 /\ va_get_ok va_s0 /\ (let
(tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0 in let
(dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64 rRcx va_s0 in
adx_enabled /\ bmi2_enabled /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0)
(va_get_mem va_s0) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0
in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64 rRcx va_s0
in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1 =
Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM)) /\ va_state_eq va_sM (va_update_mem_layout va_sM
(va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsi va_sM
(va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem
va_sM va_s0))))))))))))))))))) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.State.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.QuickCodes.fsti.checked",
"Vale.X64.QuickCode.fst.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.InsStack.fsti.checked",
"Vale.X64.InsMem.fsti.checked",
"Vale.X64.InsBasic.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fsti.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Curve25519.Fast_defs.fst.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": false,
"source_file": "Vale.Curve25519.X64.FastWide.fsti"
} | [
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Curve25519.Fast_defs",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsStack",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_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": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Curve25519.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Curve25519.X64",
"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": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
tmp_b: Vale.X64.Memory.buffer64 ->
inA_b: Vale.X64.Memory.buffer64 ->
dst_b: Vale.X64.Memory.buffer64 ->
inB_b: Vale.X64.Memory.buffer64 ->
va_s0: Vale.X64.Decls.va_state ->
va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0)
-> Type0 | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.Memory.buffer64",
"Vale.X64.Decls.va_state",
"Prims.unit",
"Prims.l_and",
"Prims.b2t",
"Vale.X64.Decls.va_get_ok",
"Vale.X64.CPU_Features_s.adx_enabled",
"Vale.X64.CPU_Features_s.bmi2_enabled",
"Vale.X64.Memory.is_initial_heap",
"Vale.X64.Decls.va_get_mem_layout",
"Vale.X64.Decls.va_get_mem",
"Prims.l_or",
"Vale.X64.Decls.buffers_disjoint",
"Prims.eq2",
"Vale.X64.Decls.validDstAddrs64",
"Vale.Arch.HeapTypes_s.Secret",
"Vale.X64.Decls.validSrcAddrs64",
"Vale.Def.Words_s.nat64",
"Vale.X64.Decls.va_get_reg64",
"Vale.X64.Machine_s.rRcx",
"Vale.X64.Machine_s.rR15",
"Vale.X64.Machine_s.rRsi",
"Vale.X64.Machine_s.rRdi",
"Prims.l_Forall",
"Vale.X64.InsBasic.vale_heap",
"Vale.X64.Memory.nat64",
"Vale.X64.Flags.t",
"Vale.Arch.HeapImpl.vale_heap_layout",
"Prims.l_imp",
"Prims.int",
"Prims.op_Modulus",
"Vale.Curve25519.Fast_defs.prime",
"Vale.X64.Decls.va_mul_nat",
"Vale.X64.Decls.modifies_buffer_2",
"Prims.nat",
"Vale.Curve25519.Fast_defs.pow2_four",
"Vale.X64.Decls.buffer64_read",
"Vale.X64.State.vale_state",
"Vale.X64.Decls.va_upd_mem_layout",
"Vale.X64.Decls.va_upd_mem_heaplet",
"Vale.X64.Decls.va_upd_flags",
"Vale.X64.Decls.va_upd_reg64",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Machine_s.rR13",
"Vale.X64.Machine_s.rR11",
"Vale.X64.Machine_s.rR10",
"Vale.X64.Machine_s.rR9",
"Vale.X64.Machine_s.rR8",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Decls.va_upd_mem"
] | [] | false | false | false | true | true | let va_wp_Fmul
(tmp_b inA_b dst_b inB_b: buffer64)
(va_s0: va_state)
(va_k: (va_state -> unit -> Type0))
: Type0 =
| (va_get_ok va_s0 /\
(let tmp_in:nat64 = va_get_reg64 rRdi va_s0 in
let inA_in:nat64 = va_get_reg64 rRsi va_s0 in
let dst_in:nat64 = va_get_reg64 rR15 va_s0 in
let inB_in:nat64 = va_get_reg64 rRcx va_s0 in
adx_enabled /\ bmi2_enabled /\
Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0)
dst_in
dst_b
4
(va_get_mem_layout va_s0)
Secret /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0)
inA_in
inA_b
4
(va_get_mem_layout va_s0)
Secret /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0)
inB_in
inB_b
4
(va_get_mem_layout va_s0)
Secret /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0)
tmp_in
tmp_b
8
(va_get_mem_layout va_s0)
Secret) /\
(forall (va_x_mem: vale_heap) (va_x_rax: nat64) (va_x_rbx: nat64) (va_x_rcx: nat64)
(va_x_rdx: nat64) (va_x_rdi: nat64) (va_x_rsi: nat64) (va_x_r8: nat64) (va_x_r9: nat64)
(va_x_r10: nat64) (va_x_r11: nat64) (va_x_r13: nat64) (va_x_r14: nat64)
(va_x_efl: Vale.X64.Flags.t) (va_x_heap0: vale_heap) (va_x_memLayout: vale_heap_layout).
let va_sM =
va_upd_mem_layout va_x_memLayout
(va_upd_mem_heaplet 0
va_x_heap0
(va_upd_flags va_x_efl
(va_upd_reg64 rR14
va_x_r14
(va_upd_reg64 rR13
va_x_r13
(va_upd_reg64 rR11
va_x_r11
(va_upd_reg64 rR10
va_x_r10
(va_upd_reg64 rR9
va_x_r9
(va_upd_reg64 rR8
va_x_r8
(va_upd_reg64 rRsi
va_x_rsi
(va_upd_reg64 rRdi
va_x_rdi
(va_upd_reg64 rRdx
va_x_rdx
(va_upd_reg64 rRcx
va_x_rcx
(va_upd_reg64 rRbx
va_x_rbx
(va_upd_reg64 rRax
va_x_rax
(va_upd_mem va_x_mem va_s0))))))))
)))))))
in
va_get_ok va_sM /\
(let tmp_in:nat64 = va_get_reg64 rRdi va_s0 in
let inA_in:nat64 = va_get_reg64 rRsi va_s0 in
let dst_in:nat64 = va_get_reg64 rR15 va_s0 in
let inB_in:nat64 = va_get_reg64 rRcx va_s0 in
let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in
let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in
let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in
let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in
let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in
let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in
let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in
let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in
let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in
let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in
let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in
let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in
let a = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in
let b = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in
let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in
d `op_Modulus` prime == (va_mul_nat a b) `op_Modulus` prime /\
Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b (va_get_mem va_s0) (va_get_mem va_sM)) ==>
va_k va_sM (()))) | false |
Vale.Curve25519.X64.FastWide.fsti | Vale.Curve25519.X64.FastWide.va_req_Fmul | val va_req_Fmul (va_b0: va_code) (va_s0: va_state) (tmp_b inA_b dst_b inB_b: buffer64) : prop | val va_req_Fmul (va_b0: va_code) (va_s0: va_state) (tmp_b inA_b dst_b inB_b: buffer64) : prop | let va_req_Fmul (va_b0:va_code) (va_s0:va_state) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
(inB_b:buffer64) : prop =
(va_require_total va_b0 (va_code_Fmul ()) va_s0 /\ va_get_ok va_s0 /\ (let (tmp_in:nat64) =
va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0 in let (dst_in:nat64) =
va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64 rRcx va_s0 in adx_enabled /\
bmi2_enabled /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret)) | {
"file_name": "obj/Vale.Curve25519.X64.FastWide.fsti",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 46,
"end_line": 36,
"start_col": 0,
"start_line": 22
} | module Vale.Curve25519.X64.FastWide
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.X64.Machine_s
open Vale.X64.Memory
open Vale.X64.Stack_i
open Vale.X64.State
open Vale.X64.Decls
open Vale.X64.InsBasic
open Vale.X64.InsMem
open Vale.X64.InsStack
open Vale.X64.QuickCode
open Vale.X64.QuickCodes
open Vale.Curve25519.Fast_defs
open Vale.X64.CPU_Features_s
//-- Fmul
val va_code_Fmul : va_dummy:unit -> Tot va_code | {
"checked_file": "/",
"dependencies": [
"Vale.X64.State.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.QuickCodes.fsti.checked",
"Vale.X64.QuickCode.fst.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.InsStack.fsti.checked",
"Vale.X64.InsMem.fsti.checked",
"Vale.X64.InsBasic.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fsti.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Curve25519.Fast_defs.fst.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": false,
"source_file": "Vale.Curve25519.X64.FastWide.fsti"
} | [
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Curve25519.Fast_defs",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsStack",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_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": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Curve25519.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Curve25519.X64",
"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": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_b0: Vale.X64.Decls.va_code ->
va_s0: Vale.X64.Decls.va_state ->
tmp_b: Vale.X64.Memory.buffer64 ->
inA_b: Vale.X64.Memory.buffer64 ->
dst_b: Vale.X64.Memory.buffer64 ->
inB_b: Vale.X64.Memory.buffer64
-> Prims.prop | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.Memory.buffer64",
"Prims.l_and",
"Vale.X64.Decls.va_require_total",
"Vale.Curve25519.X64.FastWide.va_code_Fmul",
"Prims.b2t",
"Vale.X64.Decls.va_get_ok",
"Vale.X64.CPU_Features_s.adx_enabled",
"Vale.X64.CPU_Features_s.bmi2_enabled",
"Vale.X64.Memory.is_initial_heap",
"Vale.X64.Decls.va_get_mem_layout",
"Vale.X64.Decls.va_get_mem",
"Prims.l_or",
"Vale.X64.Decls.buffers_disjoint",
"Prims.eq2",
"Vale.X64.Decls.validDstAddrs64",
"Vale.Arch.HeapTypes_s.Secret",
"Vale.X64.Decls.validSrcAddrs64",
"Vale.Def.Words_s.nat64",
"Vale.X64.Decls.va_get_reg64",
"Vale.X64.Machine_s.rRcx",
"Vale.X64.Machine_s.rR15",
"Vale.X64.Machine_s.rRsi",
"Vale.X64.Machine_s.rRdi",
"Prims.prop"
] | [] | false | false | false | true | true | let va_req_Fmul (va_b0: va_code) (va_s0: va_state) (tmp_b inA_b dst_b inB_b: buffer64) : prop =
| (va_require_total va_b0 (va_code_Fmul ()) va_s0 /\ va_get_ok va_s0 /\
(let tmp_in:nat64 = va_get_reg64 rRdi va_s0 in
let inA_in:nat64 = va_get_reg64 rRsi va_s0 in
let dst_in:nat64 = va_get_reg64 rR15 va_s0 in
let inB_in:nat64 = va_get_reg64 rRcx va_s0 in
adx_enabled /\ bmi2_enabled /\
Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0)
dst_in
dst_b
4
(va_get_mem_layout va_s0)
Secret /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0)
inA_in
inA_b
4
(va_get_mem_layout va_s0)
Secret /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0)
inB_in
inB_b
4
(va_get_mem_layout va_s0)
Secret /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0)
tmp_in
tmp_b
8
(va_get_mem_layout va_s0)
Secret)) | false |
Steel.ST.GenElim.fst | Steel.ST.GenElim.compute_gen_elim_tele_correct_star_l | val compute_gen_elim_tele_correct_star_l (l: gen_elim_i) (ihl: ge_to_tele_t l) (ru: gen_unit_elim_i)
: Tot (ge_to_tele_t (GEStarL l ru)) | val compute_gen_elim_tele_correct_star_l (l: gen_elim_i) (ihl: ge_to_tele_t l) (ru: gen_unit_elim_i)
: Tot (ge_to_tele_t (GEStarL l ru)) | let compute_gen_elim_tele_correct_star_l
(l: gen_elim_i)
(ihl: ge_to_tele_t l)
(ru: gen_unit_elim_i)
: Tot (ge_to_tele_t (GEStarL l ru))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p _) (compute_gen_elim_p l `star` compute_gen_unit_elim_p ru);
ihl _;
compute_gen_unit_elim_f ru _;
intro_pure (compute_gen_unit_elim_post ru);
tele_star_vprop_correct _ _ _ _;
rewrite_with_trefl (tele_p _) (tele_p _) | {
"file_name": "lib/steel/Steel.ST.GenElim.fst",
"git_rev": "f984200f79bdc452374ae994a5ca837496476c41",
"git_url": "https://github.com/FStarLang/steel.git",
"project_name": "steel"
} | {
"end_col": 42,
"end_line": 270,
"start_col": 0,
"start_line": 259
} | module Steel.ST.GenElim
let gen_elim_f
(p: vprop)
(a: Type0) // FIXME: generalize this universe
(q: (a -> vprop))
(post: (a -> prop))
: Tot Type
= ((opened: inames) -> STGhost a opened p q True post)
let gen_unit_elim_t (i: gen_unit_elim_i) : Tot Type =
gen_elim_f (compute_gen_unit_elim_p i) unit (fun _ -> compute_gen_unit_elim_q i) (fun _ -> compute_gen_unit_elim_post i)
let compute_gen_unit_elim_f_id
(v: vprop)
: Tot (gen_unit_elim_t (GUEId v))
= fun _ -> noop ()
let compute_gen_unit_elim_f_pure
(p: prop)
: Tot (gen_unit_elim_t (GUEPure p))
= fun _ ->
rewrite (compute_gen_unit_elim_p (GUEPure p)) (pure p);
elim_pure p
let compute_gen_unit_elim_f_star
(i1 i2: gen_unit_elim_i)
(f1: gen_unit_elim_t i1)
(f2: gen_unit_elim_t i2)
: Tot (gen_unit_elim_t (GUEStar i1 i2))
= fun _ ->
rewrite (compute_gen_unit_elim_p (GUEStar i1 i2)) (compute_gen_unit_elim_p i1 `star` compute_gen_unit_elim_p i2);
f1 _; f2 _;
rewrite (compute_gen_unit_elim_q i1 `star` compute_gen_unit_elim_q i2) (compute_gen_unit_elim_q (GUEStar i1 i2))
let rec compute_gen_unit_elim_f
(i: gen_unit_elim_i)
: GTot (gen_unit_elim_t i)
= match i returns (gen_unit_elim_t i) with
| GUEId v -> compute_gen_unit_elim_f_id v
| GUEPure p -> compute_gen_unit_elim_f_pure p
| GUEStar i1 i2 -> compute_gen_unit_elim_f_star i1 i2 (compute_gen_unit_elim_f i1) (compute_gen_unit_elim_f i2)
let gen_elim_t (i: gen_elim_i) : Tot Type =
gen_elim_f (compute_gen_elim_p i) (compute_gen_elim_a i) (compute_gen_elim_q i) (compute_gen_elim_post i)
let compute_gen_elim_f_unit
(i: gen_unit_elim_i)
: GTot (gen_elim_t (GEUnit i))
= compute_gen_unit_elim_f i
let compute_gen_elim_f_star_l
(i1: gen_elim_i)
(f1: gen_elim_t i1)
(i2: gen_unit_elim_i)
: GTot (gen_elim_t (GEStarL i1 i2))
= let f2 = compute_gen_unit_elim_f i2 in
fun _ ->
rewrite (compute_gen_elim_p (GEStarL i1 i2)) (compute_gen_elim_p i1 `star` compute_gen_unit_elim_p i2);
let res = f1 _ in
f2 _;
let res' : compute_gen_elim_a (GEStarL i1 i2) = coerce_with_trefl res in
rewrite (compute_gen_elim_q i1 res `star` compute_gen_unit_elim_q i2) (compute_gen_elim_q (GEStarL i1 i2) res');
res'
let compute_gen_elim_f_star_r
(i1: gen_unit_elim_i)
(i2: gen_elim_i)
(f2: gen_elim_t i2)
: GTot (gen_elim_t (GEStarR i1 i2))
= let f1 = compute_gen_unit_elim_f i1 in
fun _ ->
rewrite (compute_gen_elim_p (GEStarR i1 i2)) (compute_gen_unit_elim_p i1 `star` compute_gen_elim_p i2);
f1 _;
let res = f2 _ in
let res' : compute_gen_elim_a (GEStarR i1 i2) = coerce_with_trefl res in
rewrite (compute_gen_unit_elim_q i1 `star` compute_gen_elim_q i2 res) (compute_gen_elim_q (GEStarR i1 i2) res');
res'
let compute_gen_elim_f_star
(i1: gen_elim_i)
(f1: gen_elim_t i1)
(i2: gen_elim_i)
(f2: gen_elim_t i2)
: GTot (gen_elim_t (GEStar i1 i2))
= fun _ ->
rewrite (compute_gen_elim_p (GEStar i1 i2)) (compute_gen_elim_p i1 `star` compute_gen_elim_p i2);
let res1 = f1 _ in
let res2 = f2 _ in
let res : compute_gen_elim_a (GEStar i1 i2) = coerce_with_trefl (res1, res2) in
rewrite (compute_gen_elim_q i1 res1 `star` compute_gen_elim_q i2 res2) (compute_gen_elim_q (GEStar i1 i2) res);
res
let compute_gen_elim_f_exists_no_abs
(a: Type0)
(body: (a -> vprop))
: GTot (gen_elim_t (GEExistsNoAbs body))
= fun _ ->
rewrite (compute_gen_elim_p (GEExistsNoAbs body)) (exists_ body);
let gres = elim_exists () in
let res : compute_gen_elim_a (GEExistsNoAbs body) = coerce_with_trefl (Ghost.reveal gres) in
rewrite (body gres) (compute_gen_elim_q (GEExistsNoAbs body) res);
res
let rewrite_with_trefl (#opened:_) (p q:vprop)
: STGhost unit opened
p
(fun _ -> q)
(requires T.with_tactic T.trefl (p == q))
(ensures fun _ -> True)
= rewrite p q
let compute_gen_elim_f_exists_unit
(a: Type0)
(body: a -> gen_unit_elim_i)
: Tot (gen_elim_t (GEExistsUnit body))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p (GEExistsUnit body)) (exists_ (fun x -> compute_gen_unit_elim_p (body x)));
let gres = elim_exists () in
compute_gen_unit_elim_f (body gres) _;
let res : compute_gen_elim_a (GEExistsUnit body) = coerce_with_trefl (Ghost.reveal gres) in
rewrite (compute_gen_unit_elim_q (body gres)) (compute_gen_elim_q (GEExistsUnit body) res);
res
let compute_gen_elim_f_exists
(a: Type0)
(body: a -> gen_elim_i)
(f: (x: a) -> GTot (gen_elim_t (body x)))
: Tot (gen_elim_t (GEExists body))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p (GEExists body)) (exists_ (fun x -> compute_gen_elim_p (body x)));
let gres1 = elim_exists () in
let gres2 = f gres1 _ in
let res : compute_gen_elim_a (GEExists body) = coerce_with_trefl (Mkdtuple2 #a #(fun x -> compute_gen_elim_a (body x)) (Ghost.reveal gres1) (Ghost.reveal gres2)) in
rewrite (compute_gen_elim_q (body gres1) gres2) (compute_gen_elim_q (GEExists body) res);
res
let rec compute_gen_elim_f
(i: gen_elim_i)
: GTot (gen_elim_t i)
= match i returns (gen_elim_t i) with
| GEUnit i -> compute_gen_elim_f_unit i
| GEStarL i1 i2 -> compute_gen_elim_f_star_l i1 (compute_gen_elim_f i1) i2
| GEStarR i1 i2 -> compute_gen_elim_f_star_r i1 i2 (compute_gen_elim_f i2)
| GEStar i1 i2 -> compute_gen_elim_f_star i1 (compute_gen_elim_f i1) i2 (compute_gen_elim_f i2)
| GEExistsNoAbs body -> compute_gen_elim_f_exists_no_abs _ body
| GEExistsUnit body -> compute_gen_elim_f_exists_unit _ body
| GEExists body -> compute_gen_elim_f_exists _ body (fun x -> compute_gen_elim_f (body x))
let rec tele_p (x: gen_elim_tele) : Tot vprop =
match x with
| TRet v p -> v `star` pure p
| TExists ty body -> exists_ (fun x -> tele_p (body x))
let elim_exists' (#a:Type)
(#opened_invariants:_)
(#p:a -> vprop)
(_:unit)
: STGhostT (a) opened_invariants
(exists_ p)
(fun x -> p x)
= let gx = elim_exists () in
let x = Ghost.reveal gx in
rewrite (p gx) (p x);
x
let vprop_rewrite (from to: vprop) : Tot Type =
gen_elim_f from unit (fun _ -> to) (fun _ -> True)
let tele_star_vprop_correct_ret
(v': vprop) (p': prop) (v: vprop) (p: prop)
: Tot (vprop_rewrite (tele_p (TRet v' p') `star` v `star` pure p) (tele_p (tele_star_vprop (TRet v' p') v p)))
= fun _ ->
elim_pure p;
rewrite (tele_p _) (v' `star` pure p');
elim_pure p';
intro_pure (p /\ p');
rewrite ((v `star` v') `star` pure (p /\ p')) (tele_p _)
let tele_star_vprop_correct_exists
(v: vprop) (p: prop)
(ty: _) (body: ty -> gen_elim_tele) (ih: (x: ty) -> GTot (vprop_rewrite (tele_p (body x) `star` v `star` pure p) (tele_p (tele_star_vprop (body x) v p))))
: Tot (vprop_rewrite (tele_p (TExists ty body) `star` v `star` pure p) (tele_p (tele_star_vprop (TExists ty body) v p)))
= fun _ ->
rewrite_with_trefl (tele_p _) (exists_ (fun x -> tele_p (body x)));
let x = elim_exists' () in
ih x _;
intro_exists x (fun x -> tele_p (tele_star_vprop (body x) v p));
rewrite_with_trefl (exists_ (fun x -> tele_p (tele_star_vprop (body x) v p))) (tele_p _)
let rec tele_star_vprop_correct
(i: gen_elim_tele) (v: vprop) (p: prop)
: GTot (vprop_rewrite
(tele_p i `star` v `star` pure p)
(tele_p (tele_star_vprop i v p))
)
= match i returns vprop_rewrite
(tele_p i `star` v `star` pure p)
(tele_p (tele_star_vprop i v p)) with
| TRet v' p' -> tele_star_vprop_correct_ret v' p' v p
| TExists ty body -> tele_star_vprop_correct_exists v p ty body (fun x -> tele_star_vprop_correct (body x) v p)
let tele_star_correct_ret_l
(v1: vprop) (p1: prop) (i2: gen_elim_tele)
: Tot (vprop_rewrite (tele_p (TRet v1 p1) `star` tele_p i2) (tele_p (TRet v1 p1 `tele_star` i2)))
= fun _ ->
rewrite (tele_p (TRet v1 p1)) (v1 `star` pure p1);
tele_star_vprop_correct i2 v1 p1 _;
rewrite (tele_p _) (tele_p _)
let tele_star_correct_ret_r
(i1: gen_elim_tele { ~ (TRet? i1) }) (v2: vprop) (p2: prop)
: Tot (vprop_rewrite (tele_p i1 `star` tele_p (TRet v2 p2)) (tele_p (i1 `tele_star` TRet v2 p2)))
= fun _ ->
rewrite (tele_p (TRet v2 p2)) (v2 `star` pure p2);
tele_star_vprop_correct i1 v2 p2 _;
rewrite (tele_p _) (tele_p (i1 `tele_star` TRet v2 p2))
let tele_star_correct_exists
(ty1: _) (f1: ty1 -> gen_elim_tele) (ty2: _) (f2: ty2 -> gen_elim_tele)
(ih: (x1: ty1) -> (x2: ty2) -> GTot (vprop_rewrite (tele_p (f1 x1) `star` tele_p (f2 x2)) (tele_p (f1 x1 `tele_star` f2 x2))))
: Tot (vprop_rewrite (tele_p (TExists ty1 f1) `star` tele_p (TExists ty2 f2)) (tele_p (tele_star (TExists ty1 f1) (TExists ty2 f2))))
= fun _ ->
rewrite_with_trefl (tele_p (TExists ty1 f1)) (exists_ (fun x1 -> tele_p (f1 x1)));
let x1 = elim_exists' () in
rewrite_with_trefl (tele_p (TExists ty2 f2)) (exists_ (fun x2 -> tele_p (f2 x2)));
let x2 = elim_exists' () in
ih x1 x2 _;
intro_exists x2 (fun x2 -> tele_p (tele_star (f1 x1) (f2 x2)));
intro_exists x1 (fun x1 -> exists_ (fun x2 -> tele_p (tele_star (f1 x1) (f2 x2))));
rewrite_with_trefl (exists_ _) (tele_p _)
let rec tele_star_correct
(i1 i2: gen_elim_tele)
: GTot (vprop_rewrite (tele_p i1 `star` tele_p i2) (tele_p (i1 `tele_star` i2)))
= match i1 returns vprop_rewrite (tele_p i1 `star` tele_p i2) (tele_p (i1 `tele_star` i2)) with
| TRet v1 p1 -> tele_star_correct_ret_l v1 p1 i2
| TExists ty1 f1 ->
begin match i2 returns vprop_rewrite (tele_p (TExists ty1 f1) `star` tele_p i2) (tele_p (TExists ty1 f1 `tele_star` i2)) with
| TRet v2 p2 -> tele_star_correct_ret_r (TExists ty1 f1) v2 p2
| TExists ty2 f2 -> tele_star_correct_exists ty1 f1 ty2 f2 (fun x1 x2 -> tele_star_correct (f1 x1) (f2 x2))
end
[@@noextract_to "Plugin" ]
let ge_to_tele_t
(i: gen_elim_i)
: Tot Type
= vprop_rewrite (compute_gen_elim_p i) (tele_p (compute_gen_elim_tele i))
let compute_gen_elim_tele_correct_unit
(v: gen_unit_elim_i)
: Tot (ge_to_tele_t (GEUnit v))
= fun _ ->
rewrite_with_trefl (compute_gen_elim_p _) (compute_gen_unit_elim_p v);
compute_gen_unit_elim_f v _;
intro_pure (compute_gen_unit_elim_post v);
rewrite_with_trefl (compute_gen_unit_elim_q v `star` pure _) (tele_p _) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Ghost.fsti.checked",
"FStar.Classical.fsti.checked"
],
"interface_file": true,
"source_file": "Steel.ST.GenElim.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.Tactics",
"short_module": "T"
},
{
"abbrev": false,
"full_module": "Steel.ST.GenElim.Base",
"short_module": null
},
{
"abbrev": false,
"full_module": "Steel.ST",
"short_module": null
},
{
"abbrev": false,
"full_module": "Steel.ST",
"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 |
l: Steel.ST.GenElim.Base.gen_elim_i ->
ihl: Steel.ST.GenElim.ge_to_tele_t l ->
ru: Steel.ST.GenElim.Base.gen_unit_elim_i
-> Steel.ST.GenElim.ge_to_tele_t (Steel.ST.GenElim.Base.GEStarL l ru) | Prims.Tot | [
"total"
] | [] | [
"Steel.ST.GenElim.Base.gen_elim_i",
"Steel.ST.GenElim.ge_to_tele_t",
"Steel.ST.GenElim.Base.gen_unit_elim_i",
"Steel.Memory.inames",
"Steel.ST.GenElim.rewrite_with_trefl",
"Steel.ST.GenElim.tele_p",
"Steel.ST.GenElim.Base.tele_star_vprop",
"Steel.ST.GenElim.Base.compute_gen_elim_tele",
"Steel.ST.GenElim.Base.compute_gen_unit_elim_q",
"Steel.ST.GenElim.Base.compute_gen_unit_elim_post",
"Steel.ST.GenElim.Base.GEStarL",
"Prims.unit",
"Steel.ST.GenElim.tele_star_vprop_correct",
"Steel.ST.Util.intro_pure",
"Steel.ST.GenElim.compute_gen_unit_elim_f",
"Steel.ST.GenElim.Base.compute_gen_elim_p",
"Steel.Effect.Common.star",
"Steel.ST.GenElim.Base.compute_gen_unit_elim_p"
] | [] | false | false | false | false | false | let compute_gen_elim_tele_correct_star_l (l: gen_elim_i) (ihl: ge_to_tele_t l) (ru: gen_unit_elim_i)
: Tot (ge_to_tele_t (GEStarL l ru)) =
| fun _ ->
rewrite_with_trefl (compute_gen_elim_p _)
((compute_gen_elim_p l) `star` (compute_gen_unit_elim_p ru));
ihl _;
compute_gen_unit_elim_f ru _;
intro_pure (compute_gen_unit_elim_post ru);
tele_star_vprop_correct _ _ _ _;
rewrite_with_trefl (tele_p _) (tele_p _) | false |
Vale.AES.X64.AESGCM.fst | Vale.AES.X64.AESGCM.va_wp_Loop6x_loop_body0 | val va_wp_Loop6x_loop_body0
(va_old: va_state)
(alg: algorithm)
(va_in_count: nat)
(va_in_ctr_BE_orig va_in_h_LE: quad32)
(va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b: buffer128)
(va_in_key_words: (seq nat32))
(va_in_keys_b va_in_out_b: buffer128)
(va_in_plain_quads va_in_round_keys: (seq quad32))
(va_in_scratch_b: buffer128)
(va_in_y_orig va_in_ctr: quad32)
(va_in_iter: nat)
(va_in_y_cur: quad32)
(va_s0: va_state)
(va_k: (va_state -> (quad32 & nat & quad32) -> Type0))
: Type0 | val va_wp_Loop6x_loop_body0
(va_old: va_state)
(alg: algorithm)
(va_in_count: nat)
(va_in_ctr_BE_orig va_in_h_LE: quad32)
(va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b: buffer128)
(va_in_key_words: (seq nat32))
(va_in_keys_b va_in_out_b: buffer128)
(va_in_plain_quads va_in_round_keys: (seq quad32))
(va_in_scratch_b: buffer128)
(va_in_y_orig va_in_ctr: quad32)
(va_in_iter: nat)
(va_in_y_cur: quad32)
(va_s0: va_state)
(va_k: (va_state -> (quad32 & nat & quad32) -> Type0))
: Type0 | let va_wp_Loop6x_loop_body0 (va_old:va_state) (alg:algorithm) (va_in_count:nat)
(va_in_ctr_BE_orig:quad32) (va_in_h_LE:quad32) (va_in_hkeys_b:buffer128) (va_in_in0_b:buffer128)
(va_in_in_b:buffer128) (va_in_iv_b:buffer128) (va_in_key_words:(seq nat32))
(va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32))
(va_in_round_keys:(seq quad32)) (va_in_scratch_b:buffer128) (va_in_y_orig:quad32)
(va_in_ctr:quad32) (va_in_iter:nat) (va_in_y_cur:quad32) (va_s0:va_state) (va_k:(va_state ->
(quad32 & nat & quad32) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_s0 == va_get_reg64
rRdx va_old - 6 `op_Multiply` va_in_iter /\ va_get_reg64 rR14 va_s0 == va_get_reg64 rR14 va_old
+ 96 `op_Multiply` va_in_iter /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old + 96
`op_Multiply` va_in_iter /\ va_get_reg64 rRsi va_s0 == va_get_reg64 rRsi va_old + 96
`op_Multiply` va_in_iter /\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2
va_s0) (va_get_reg64 rR8 va_s0) va_in_iv_b 1 (va_get_mem_layout va_s0) Public /\ (va_get_reg64
rRdx va_s0 > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b ((va_in_count - 1) `op_Multiply` 6 + va_in_iter
`op_Multiply` 6) (va_get_reg64 rRdx va_old - va_in_iter `op_Multiply` 6) (va_get_mem_layout
va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi va_s0) va_in_in_b (va_in_count `op_Multiply` 6
+ va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - va_in_iter `op_Multiply` 6)
(va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
va_in_out_b (va_in_count `op_Multiply` 6 + va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - va_in_iter `op_Multiply` 6) (va_get_mem_layout va_s0) Secret) /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
va_in_scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) va_in_hkeys_b 8 (va_get_mem_layout
va_s0) Secret /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b ==
va_in_out_b) /\ va_in_in0_b == va_in_out_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_s0
> 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in_b) (6 `op_Multiply` va_in_count + 6 `op_Multiply`
va_in_iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64
rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\ (va_get_reg64 rRdx va_s0 >
0 ==> va_get_reg64 rR14 va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\
(va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx
va_s0 < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b
(va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_s0) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 +
va_in_iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_s0 == 0 ==> va_get_reg64 rRdx va_old
>= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 +
va_get_reg64 rRdx va_old - 1)) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b
(va_get_mem_heaplet 2 va_old) (va_get_mem_heaplet 2 va_s0) 0 0 /\ aes_reqs_offset alg
va_in_key_words va_in_round_keys va_in_keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0
va_s0) (va_get_mem_layout va_s0) /\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32
va_in_round_keys 0 /\ pclmulqdq_enabled /\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg
va_in_key_words (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) /\
Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) va_in_hkeys_b)
(Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE) /\ va_in_count + va_in_iter - 2 >= 0 /\
(va_get_reg64 rRdx va_s0 > 0 ==> scratch_reqs va_in_scratch_b (va_in_count + va_in_iter - 2)
(va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in0_b)
(va_get_xmm 7 va_s0)) /\ (va_get_reg64 rRdx va_s0 == 0 ==> scratch_reqs va_in_scratch_b
(va_in_count + va_in_iter - 2) (va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in0_b) (Vale.X64.Decls.buffer128_read va_in_scratch_b 2
(va_get_mem_heaplet 3 va_s0))) /\ va_in_y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE
va_in_y_orig (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in0_b) 0 ((va_in_count + va_in_iter - 2) `op_Multiply` 6))
/\ (va_get_reg64 rRdx va_s0 > 0 ==> va_in_y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_s0)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_s0)))))) /\ (va_get_reg64 rRdx va_s0 == 0 ==> va_get_xmm 8 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 va_in_y_cur) /\ 2 <= va_in_count /\ va_get_reg64 rRdx
va_s0 `op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ (6 <= va_get_reg64 rRdx
va_old /\ va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_count
`op_Multiply` 6 + va_in_iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64 rRdx va_s0 > 0 ==>
va_get_reg64 rRdx va_s0 >= 6) /\ va_in_ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (6
`op_Multiply` va_in_count + va_in_iter `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 0) /\ va_get_reg64
rRbx va_s0 == va_in_ctr.lo0 `op_Modulus` 256 /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite va_in_ctr 0)) (va_get_xmm 15 va_s0)) /\ (va_get_reg64 rRdx va_s0 > 0
==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 10 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 1))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 2))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 3))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 4))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 5))) /\ (va_get_reg64
rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s0) (va_get_xmm 10 va_s0)
(va_get_xmm 11 va_s0) (va_get_xmm 12 va_s0) (va_get_xmm 13 va_s0) (va_get_xmm 14 va_s0)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_count + va_in_iter - 1)) /\
(va_get_reg64 rRdx va_s0 > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` va_in_iter) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_s0 == 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count + 6 `op_Multiply` (va_in_iter - 1))
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ va_get_reg64 rRdx va_s0 > 0 /\ (forall
(va_x_efl:Vale.X64.Flags.t) (va_x_heap2:vale_heap) (va_x_heap3:vale_heap)
(va_x_heap6:vale_heap) (va_x_mem:vale_heap) (va_x_ok:bool) (va_x_r11:nat64) (va_x_r12:nat64)
(va_x_r13:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rdi:nat64) (va_x_rdx:nat64)
(va_x_rsi:nat64) (va_x_xmm0:quad32) (va_x_xmm1:quad32) (va_x_xmm10:quad32) (va_x_xmm11:quad32)
(va_x_xmm12:quad32) (va_x_xmm13:quad32) (va_x_xmm14:quad32) (va_x_xmm15:quad32)
(va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32)
(va_x_xmm7:quad32) (va_x_xmm8:quad32) (va_x_xmm9:quad32) (ctr:quad32) (iter:nat) (y_cur:quad32)
. let va_sM = va_upd_xmm 9 va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7
(va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3
(va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13
va_x_xmm13 (va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10 va_x_xmm10
(va_upd_xmm 1 va_x_xmm1 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx
va_x_rdx (va_upd_reg64 rRdi va_x_rdi (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR12 va_x_r12 (va_upd_reg64 rR11 va_x_r11 (va_upd_ok
va_x_ok (va_upd_mem va_x_mem (va_upd_mem_heaplet 6 va_x_heap6 (va_upd_mem_heaplet 3 va_x_heap3
(va_upd_mem_heaplet 2 va_x_heap2 (va_upd_flags va_x_efl va_s0))))))))))))))))))))))))))))) in
va_get_ok va_sM /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_sM == va_get_reg64
rRdx va_old - 6 `op_Multiply` iter /\ va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_old + 96
`op_Multiply` iter /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96 `op_Multiply`
iter /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter /\
va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b ((va_in_count - 1) `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM >
0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRdi
va_sM) va_in_in_b (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM >
0 ==> Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRsi
va_sM) va_in_out_b (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_sM) (va_get_reg64 rRbp va_sM)
va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32) va_in_hkeys_b 8 (va_get_mem_layout
va_sM) Secret /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b ==
va_in_out_b) /\ va_in_in0_b == va_in_out_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_sM
> 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in_b) (6 `op_Multiply` va_in_count + 6 `op_Multiply` iter)
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdi va_sM + 16
`op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64 rRdx va_sM > 0 ==>
va_get_reg64 rR14 va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM <
pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b (va_get_mem_heaplet 3
va_old) (va_get_mem_heaplet 3 va_sM) 1 8 /\ Vale.X64.Decls.modifies_buffer_specific128
va_in_out_b (va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) (va_in_count
`op_Multiply` 6) (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx
va_sM == 0 ==> va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128
va_in_out_b (va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) (va_in_count
`op_Multiply` 6) (va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)
/\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_sM) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ va_in_count + iter - 2 >= 0 /\ (va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b
(va_in_count + iter - 2) (va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\ (va_get_reg64 rRdx va_sM == 0 ==> scratch_reqs
va_in_scratch_b (va_in_count + iter - 2) (va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in0_b) (Vale.X64.Decls.buffer128_read va_in_scratch_b 2
(va_get_mem_heaplet 3 va_sM))) /\ y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE
va_in_y_orig (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in0_b) 0 ((va_in_count + iter - 2) `op_Multiply` 6)) /\
(va_get_reg64 rRdx va_sM > 0 ==> y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_sM)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ 2 <= va_in_count /\ va_get_reg64 rRdx va_sM
`op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_sM < pow2_32 /\ (6 <= va_get_reg64 rRdx va_old /\
va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_count
`op_Multiply` 6 + iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64 rRdx va_sM > 0 ==>
va_get_reg64 rRdx va_sM >= 6) /\ ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (6
`op_Multiply` va_in_count + iter `op_Multiply` 6) /\ va_get_xmm 2 va_sM ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\ va_get_reg64 rRbx
va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256 /\ (va_get_reg64 rRdx
va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ (va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM
== Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ (va_get_reg64
rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ (va_get_reg64 rRdx
va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm 10 va_sM)
(va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14 va_sM)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_count + iter - 1)) /\
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` iter) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_sM == 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count + 6 `op_Multiply` (iter - 1))
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ precedes_wrap (va_get_reg64 rRdx va_sM) (va_get_reg64
rRdx va_s0) ==> va_k va_sM ((ctr, iter, y_cur)))) | {
"file_name": "obj/Vale.AES.X64.AESGCM.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 53,
"end_line": 3747,
"start_col": 0,
"start_line": 3550
} | module Vale.AES.X64.AESGCM
open FStar.Mul
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.AES.AES_s
open Vale.X64.Machine_s
open Vale.X64.Memory
open Vale.X64.State
open Vale.X64.Decls
open Vale.X64.InsBasic
open Vale.X64.InsMem
open Vale.X64.InsVector
open Vale.X64.InsAes
open Vale.X64.QuickCode
open Vale.X64.QuickCodes
open Vale.Arch.Types
open Vale.AES.AES_helpers
//open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers
open Vale.AES.GCTR_s
open Vale.AES.GCTR
open Vale.Arch.TypesNative
open Vale.X64.CPU_Features_s
open Vale.AES.X64.PolyOps
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
open Vale.AES.X64.AESopt
open Vale.AES.X64.AESopt2
unfold let lo(x:poly):poly = mask x 64
unfold let hi(x:poly):poly = shift x (-64)
//let scratch_reqs (scratch_b:buffer128) (count:nat) (heap3:vale_heap) (s:seq quad32) (z3:quad32) : prop0 =
// count * 6 + 6 <= length s /\
// (let data = slice s (count * 6) (count * 6 + 6) in
// z3 == reverse_bytes_quad32 (index data 5) /\
// buffer128_read scratch_b 3 heap3 == reverse_bytes_quad32 (index data 4) /\
// buffer128_read scratch_b 4 heap3 == reverse_bytes_quad32 (index data 3) /\
// buffer128_read scratch_b 5 heap3 == reverse_bytes_quad32 (index data 2) /\
// buffer128_read scratch_b 6 heap3 == reverse_bytes_quad32 (index data 1) /\
// buffer128_read scratch_b 7 heap3 == reverse_bytes_quad32 (index data 0))
let scratch_reqs_simple (scratch_b:buffer128) (heap3:vale_heap) (data:seq quad32) (z3:quad32) : prop0 =
length data == 6 /\
z3 == reverse_bytes_quad32 (index data 5) /\
buffer128_read scratch_b 3 heap3 == reverse_bytes_quad32 (index data 4) /\
buffer128_read scratch_b 4 heap3 == reverse_bytes_quad32 (index data 3) /\
buffer128_read scratch_b 5 heap3 == reverse_bytes_quad32 (index data 2) /\
buffer128_read scratch_b 6 heap3 == reverse_bytes_quad32 (index data 1) /\
buffer128_read scratch_b 7 heap3 == reverse_bytes_quad32 (index data 0)
//-- finish_aes_encrypt_le
val finish_aes_encrypt_le : alg:algorithm -> input_LE:quad32 -> key:(seq nat32)
-> Lemma
(requires (Vale.AES.AES_s.is_aes_key_LE alg key))
(ensures (Vale.AES.AES_s.aes_encrypt_LE alg key input_LE == Vale.AES.AES_s.eval_cipher alg
input_LE (Vale.AES.AES_s.key_to_round_keys_LE alg key)))
let finish_aes_encrypt_le alg input_LE key =
Vale.AES.AES_s.aes_encrypt_LE_reveal ();
Vale.AES.AES_s.eval_cipher_reveal ();
()
//--
let va_subscript_FStar__Seq__Base__seq = Seq.index
#reset-options "--z3rlimit 30"
//-- Load_one_msb
val va_code_Load_one_msb : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Load_one_msb () =
(va_Block (va_CCons (va_code_ZeroXmm (va_op_xmm_xmm 2)) (va_CCons (va_code_PinsrqImm
(va_op_xmm_xmm 2) 72057594037927936 1 (va_op_reg_opr64_reg64 rR11)) (va_CNil ()))))
val va_codegen_success_Load_one_msb : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Load_one_msb () =
(va_pbool_and (va_codegen_success_ZeroXmm (va_op_xmm_xmm 2)) (va_pbool_and
(va_codegen_success_PinsrqImm (va_op_xmm_xmm 2) 72057594037927936 1 (va_op_reg_opr64_reg64
rR11)) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Load_one_msb (va_mods:va_mods_t) : (va_quickCode unit (va_code_Load_one_msb ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 145 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_ZeroXmm (va_op_xmm_xmm 2)) (fun (va_s:va_state) _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 146 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Arch.Types.two_to_nat32 (Vale.Def.Words_s.Mktwo #Vale.Def.Words_s.nat32 0 16777216) ==
72057594037927936) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 147 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_PinsrqImm (va_op_xmm_xmm 2) 72057594037927936 1 (va_op_reg_opr64_reg64 rR11)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.Def.Types_s.insert_nat64_reveal ()) (va_QEmpty (())))))))
val va_lemma_Load_one_msb : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Load_one_msb ()) va_s0 /\ va_get_ok va_s0 /\
sse_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
va_state_eq va_sM (va_update_flags va_sM (va_update_xmm 2 va_sM (va_update_reg64 rR11 va_sM
(va_update_ok va_sM va_s0))))))
[@"opaque_to_smt"]
let va_lemma_Load_one_msb va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_xmm 2; va_Mod_reg64 rR11; va_Mod_ok] in
let va_qc = va_qcode_Load_one_msb va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Load_one_msb ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 138 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 143 column 46 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 2; va_Mod_reg64 rR11; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Load_one_msb (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ sse_enabled /\ (forall (va_x_r11:nat64) (va_x_xmm2:quad32)
(va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_xmm 2 va_x_xmm2
(va_upd_reg64 rR11 va_x_r11 va_s0)) in va_get_ok va_sM /\ va_get_xmm 2 va_sM ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 ==> va_k va_sM (())))
val va_wpProof_Load_one_msb : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Load_one_msb va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Load_one_msb ()) ([va_Mod_flags;
va_Mod_xmm 2; va_Mod_reg64 rR11]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Load_one_msb va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Load_one_msb (va_code_Load_one_msb ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_xmm 2 va_sM (va_update_reg64 rR11
va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 2; va_Mod_reg64 rR11]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Load_one_msb () : (va_quickCode unit (va_code_Load_one_msb ())) =
(va_QProc (va_code_Load_one_msb ()) ([va_Mod_flags; va_Mod_xmm 2; va_Mod_reg64 rR11])
va_wp_Load_one_msb va_wpProof_Load_one_msb)
//--
//-- Ctr32_ghash_6_prelude
val va_code_Ctr32_ghash_6_prelude : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ctr32_ghash_6_prelude alg =
(va_Block (va_CCons (va_code_Load_one_msb ()) (va_CCons (va_code_VPxor (va_op_xmm_xmm 4)
(va_op_xmm_xmm 4) (va_op_opr128_xmm 4)) (va_CCons (va_code_Load128_buffer
(va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 15) (va_op_reg_opr64_reg64 rRcx) (0 - 128) Secret)
(va_CCons (va_code_VPaddd (va_op_xmm_xmm 10) (va_op_xmm_xmm 1) (va_op_xmm_xmm 2)) (va_CCons
(va_code_VPaddd (va_op_xmm_xmm 11) (va_op_xmm_xmm 10) (va_op_xmm_xmm 2)) (va_CCons
(va_code_VPaddd (va_op_xmm_xmm 12) (va_op_xmm_xmm 11) (va_op_xmm_xmm 2)) (va_CCons
(va_code_VPaddd (va_op_xmm_xmm 13) (va_op_xmm_xmm 12) (va_op_xmm_xmm 2)) (va_CCons
(va_code_VPaddd (va_op_xmm_xmm 14) (va_op_xmm_xmm 13) (va_op_xmm_xmm 2)) (va_CCons
(va_code_VPxor (va_op_xmm_xmm 9) (va_op_xmm_xmm 1) (va_op_opr128_xmm 15)) (va_CCons
(va_code_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 4) 16 Secret) (va_CNil ()))))))))))))
val va_codegen_success_Ctr32_ghash_6_prelude : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ctr32_ghash_6_prelude alg =
(va_pbool_and (va_codegen_success_Load_one_msb ()) (va_pbool_and (va_codegen_success_VPxor
(va_op_xmm_xmm 4) (va_op_xmm_xmm 4) (va_op_opr128_xmm 4)) (va_pbool_and
(va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 15)
(va_op_reg_opr64_reg64 rRcx) (0 - 128) Secret) (va_pbool_and (va_codegen_success_VPaddd
(va_op_xmm_xmm 10) (va_op_xmm_xmm 1) (va_op_xmm_xmm 2)) (va_pbool_and
(va_codegen_success_VPaddd (va_op_xmm_xmm 11) (va_op_xmm_xmm 10) (va_op_xmm_xmm 2))
(va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 12) (va_op_xmm_xmm 11) (va_op_xmm_xmm
2)) (va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 13) (va_op_xmm_xmm 12)
(va_op_xmm_xmm 2)) (va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 14) (va_op_xmm_xmm
13) (va_op_xmm_xmm 2)) (va_pbool_and (va_codegen_success_VPxor (va_op_xmm_xmm 9) (va_op_xmm_xmm
1) (va_op_opr128_xmm 15)) (va_pbool_and (va_codegen_success_Store128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 4) 16 Secret)
(va_ttrue ())))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ctr32_ghash_6_prelude (va_mods:va_mods_t) (alg:algorithm) (scratch_b:buffer128)
(key_words:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (ctr_orig:quad32) :
(va_quickCode unit (va_code_Ctr32_ghash_6_prelude alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 211 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load_one_msb ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 212 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 4) (va_op_xmm_xmm 4) (va_op_opr128_xmm 4)) (fun (va_s:va_state)
_ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.Arch.Types.lemma_quad32_xor ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 214 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 15)
(va_op_reg_opr64_reg64 rRcx) (0 - 128) Secret keys_b 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 215 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 10) (va_op_xmm_xmm 1) (va_op_xmm_xmm 2)) (fun (va_s:va_state) _
-> let (va_arg44:Vale.Def.Types_s.quad32) = va_get_xmm 10 va_s in let
(va_arg43:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_old_s in let
(va_arg42:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite ctr_orig 0 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.lemma_incr_msb va_arg42 va_arg43 va_arg44 1) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 216 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 11) (va_op_xmm_xmm 10) (va_op_xmm_xmm 2)) (fun (va_s:va_state)
_ -> let (va_arg41:Vale.Def.Types_s.quad32) = va_get_xmm 11 va_s in let
(va_arg40:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_old_s in let
(va_arg39:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite ctr_orig 0 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.lemma_incr_msb va_arg39 va_arg40 va_arg41 2) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 217 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 12) (va_op_xmm_xmm 11) (va_op_xmm_xmm 2)) (fun (va_s:va_state)
_ -> let (va_arg38:Vale.Def.Types_s.quad32) = va_get_xmm 12 va_s in let
(va_arg37:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_old_s in let
(va_arg36:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite ctr_orig 0 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 217 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.lemma_incr_msb va_arg36 va_arg37 va_arg38 3) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 218 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 13) (va_op_xmm_xmm 12) (va_op_xmm_xmm 2)) (fun (va_s:va_state)
_ -> let (va_arg35:Vale.Def.Types_s.quad32) = va_get_xmm 13 va_s in let
(va_arg34:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_old_s in let
(va_arg33:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite ctr_orig 0 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.lemma_incr_msb va_arg33 va_arg34 va_arg35 4) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 219 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 14) (va_op_xmm_xmm 13) (va_op_xmm_xmm 2)) (fun (va_s:va_state)
_ -> let (va_arg32:Vale.Def.Types_s.quad32) = va_get_xmm 14 va_s in let
(va_arg31:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_old_s in let
(va_arg30:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite ctr_orig 0 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 219 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.lemma_incr_msb va_arg30 va_arg31 va_arg32 5) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 220 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 9) (va_op_xmm_xmm 1) (va_op_opr128_xmm 15)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 221 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 4) 16 Secret scratch_b 1) (va_QEmpty (())))))))))))))))))))
val va_lemma_Ctr32_ghash_6_prelude : va_b0:va_code -> va_s0:va_state -> alg:algorithm ->
scratch_b:buffer128 -> key_words:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 ->
ctr_orig:quad32
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Ctr32_ghash_6_prelude alg) va_s0 /\ va_get_ok va_s0 /\
(sse_enabled /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp
va_s0) scratch_b 8 (va_get_mem_layout va_s0) Secret /\ aes_reqs_offset alg key_words round_keys
keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\
va_get_xmm 1 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig
0))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 1 /\ va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32
round_keys 0 /\ va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 0)) (va_get_xmm 15
va_sM) /\ (let counter = Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_orig `op_Modulus` 256
in (counter + 6 < 256 ==> va_get_xmm 10 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 1)) /\ (counter + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 2)) /\ (counter + 6 <
256 ==> va_get_xmm 12 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_orig 3)) /\ (counter + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 4)) /\ (counter + 6 <
256 ==> va_get_xmm 14 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_orig 5)) /\ Vale.X64.Decls.buffer128_read scratch_b 1 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0 /\ va_get_xmm 4 va_sM ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0)) /\ va_state_eq va_sM (va_update_flags
va_sM (va_update_mem_heaplet 3 va_sM (va_update_reg64 rR11 va_sM (va_update_xmm 15 va_sM
(va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM
(va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 4 va_sM (va_update_xmm 2 va_sM
(va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ctr32_ghash_6_prelude va_b0 va_s0 alg scratch_b key_words round_keys keys_b ctr_orig =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_reg64 rR11; va_Mod_xmm 15;
va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9;
va_Mod_xmm 4; va_Mod_xmm 2; va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_Ctr32_ghash_6_prelude va_mods alg scratch_b key_words round_keys keys_b
ctr_orig in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ctr32_ghash_6_prelude alg) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 151 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ (label va_range1
"***** POSTCONDITION NOT MET AT line 194 column 72 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 1) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 196 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 197 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 round_keys 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 199 column 83 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 0)) (va_get_xmm 15 va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(let counter = Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_orig `op_Modulus` 256 in label
va_range1
"***** POSTCONDITION NOT MET AT line 201 column 85 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(counter + 6 < 256 ==> va_get_xmm 10 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 85 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(counter + 6 < 256 ==> va_get_xmm 11 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 2)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 203 column 85 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(counter + 6 < 256 ==> va_get_xmm 12 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 3)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 204 column 85 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(counter + 6 < 256 ==> va_get_xmm 13 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 4)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 205 column 85 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(counter + 6 < 256 ==> va_get_xmm 14 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 5)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 207 column 66 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read scratch_b 1 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 208 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 4 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_reg64 rR11; va_Mod_xmm 15;
va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9;
va_Mod_xmm 4; va_Mod_xmm 2; va_Mod_ok; va_Mod_mem]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Ctr32_ghash_6_prelude (alg:algorithm) (scratch_b:buffer128) (key_words:(seq nat32))
(round_keys:(seq quad32)) (keys_b:buffer128) (ctr_orig:quad32) (va_s0:va_state) (va_k:(va_state
-> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0)
(va_get_reg64 rRbp va_s0) scratch_b 8 (va_get_mem_layout va_s0) Secret /\ aes_reqs_offset alg
key_words round_keys keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0)
(va_get_mem_layout va_s0) /\ va_get_xmm 1 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 0)) /\ (forall (va_x_mem:vale_heap) (va_x_xmm2:quad32)
(va_x_xmm4:quad32) (va_x_xmm9:quad32) (va_x_xmm10:quad32) (va_x_xmm11:quad32)
(va_x_xmm12:quad32) (va_x_xmm13:quad32) (va_x_xmm14:quad32) (va_x_xmm15:quad32)
(va_x_r11:nat64) (va_x_heap3:vale_heap) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags
va_x_efl (va_upd_mem_heaplet 3 va_x_heap3 (va_upd_reg64 rR11 va_x_r11 (va_upd_xmm 15 va_x_xmm15
(va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13 va_x_xmm13 (va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11
va_x_xmm11 (va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 9 va_x_xmm9 (va_upd_xmm 4 va_x_xmm4
(va_upd_xmm 2 va_x_xmm2 (va_upd_mem va_x_mem va_s0)))))))))))) in va_get_ok va_sM /\
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 1 /\ va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32
round_keys 0 /\ va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 0)) (va_get_xmm 15
va_sM) /\ (let counter = Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_orig `op_Modulus` 256
in (counter + 6 < 256 ==> va_get_xmm 10 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 1)) /\ (counter + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 2)) /\ (counter + 6 <
256 ==> va_get_xmm 12 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_orig 3)) /\ (counter + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 4)) /\ (counter + 6 <
256 ==> va_get_xmm 14 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_orig 5)) /\ Vale.X64.Decls.buffer128_read scratch_b 1 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0 /\ va_get_xmm 4 va_sM ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0)) ==> va_k va_sM (())))
val va_wpProof_Ctr32_ghash_6_prelude : alg:algorithm -> scratch_b:buffer128 -> key_words:(seq
nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> ctr_orig: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_Ctr32_ghash_6_prelude alg scratch_b key_words round_keys
keys_b ctr_orig va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ctr32_ghash_6_prelude alg)
([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_reg64 rR11; va_Mod_xmm 15; va_Mod_xmm 14;
va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 4;
va_Mod_xmm 2; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ctr32_ghash_6_prelude alg scratch_b key_words round_keys keys_b ctr_orig va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ctr32_ghash_6_prelude (va_code_Ctr32_ghash_6_prelude alg) va_s0 alg
scratch_b key_words round_keys keys_b ctr_orig in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 3 va_sM (va_update_reg64
rR11 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM
(va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 9 va_sM
(va_update_xmm 4 va_sM (va_update_xmm 2 va_sM (va_update_ok va_sM (va_update_mem va_sM
va_s0)))))))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_reg64 rR11; va_Mod_xmm 15;
va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9;
va_Mod_xmm 4; va_Mod_xmm 2; va_Mod_mem]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ctr32_ghash_6_prelude (alg:algorithm) (scratch_b:buffer128) (key_words:(seq nat32))
(round_keys:(seq quad32)) (keys_b:buffer128) (ctr_orig:quad32) : (va_quickCode unit
(va_code_Ctr32_ghash_6_prelude alg)) =
(va_QProc (va_code_Ctr32_ghash_6_prelude alg) ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_reg64
rR11; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10;
va_Mod_xmm 9; va_Mod_xmm 4; va_Mod_xmm 2; va_Mod_mem]) (va_wp_Ctr32_ghash_6_prelude alg
scratch_b key_words round_keys keys_b ctr_orig) (va_wpProof_Ctr32_ghash_6_prelude alg scratch_b
key_words round_keys keys_b ctr_orig))
//--
//-- Handle_ctr32_2
val va_code_Handle_ctr32_2 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Handle_ctr32_2 () =
(va_Block (va_CCons (va_code_VPshufb (va_op_xmm_xmm 6) (va_op_xmm_xmm 1) (va_op_xmm_xmm 0))
(va_CCons (va_code_Load_one_lsb (va_op_xmm_xmm 5)) (va_CCons (va_code_VPaddd (va_op_xmm_xmm 10)
(va_op_xmm_xmm 6) (va_op_xmm_xmm 5)) (va_CCons (va_code_Load_two_lsb (va_op_xmm_xmm 5))
(va_CCons (va_code_VPaddd (va_op_xmm_xmm 11) (va_op_xmm_xmm 6) (va_op_xmm_xmm 5)) (va_CCons
(va_code_VPaddd (va_op_xmm_xmm 12) (va_op_xmm_xmm 10) (va_op_xmm_xmm 5)) (va_CCons
(va_code_VPshufb (va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_xmm_xmm 0)) (va_CCons
(va_code_VPaddd (va_op_xmm_xmm 13) (va_op_xmm_xmm 11) (va_op_xmm_xmm 5)) (va_CCons
(va_code_VPshufb (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_xmm_xmm 0)) (va_CCons
(va_code_VPxor (va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_opr128_xmm 4)) (va_CCons
(va_code_VPaddd (va_op_xmm_xmm 14) (va_op_xmm_xmm 12) (va_op_xmm_xmm 5)) (va_CCons
(va_code_VPshufb (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_xmm_xmm 0)) (va_CCons
(va_code_VPxor (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_opr128_xmm 4)) (va_CCons
(va_code_VPaddd (va_op_xmm_xmm 1) (va_op_xmm_xmm 13) (va_op_xmm_xmm 5)) (va_CCons
(va_code_VPshufb (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_xmm_xmm 0)) (va_CCons
(va_code_VPxor (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_opr128_xmm 4)) (va_CCons
(va_code_VPshufb (va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_xmm_xmm 0)) (va_CCons
(va_code_VPxor (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_opr128_xmm 4)) (va_CCons
(va_code_VPshufb (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm 0)) (va_CCons
(va_code_VPxor (va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_opr128_xmm 4)) (va_CNil
()))))))))))))))))))))))
val va_codegen_success_Handle_ctr32_2 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Handle_ctr32_2 () =
(va_pbool_and (va_codegen_success_VPshufb (va_op_xmm_xmm 6) (va_op_xmm_xmm 1) (va_op_xmm_xmm 0))
(va_pbool_and (va_codegen_success_Load_one_lsb (va_op_xmm_xmm 5)) (va_pbool_and
(va_codegen_success_VPaddd (va_op_xmm_xmm 10) (va_op_xmm_xmm 6) (va_op_xmm_xmm 5))
(va_pbool_and (va_codegen_success_Load_two_lsb (va_op_xmm_xmm 5)) (va_pbool_and
(va_codegen_success_VPaddd (va_op_xmm_xmm 11) (va_op_xmm_xmm 6) (va_op_xmm_xmm 5))
(va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 12) (va_op_xmm_xmm 10) (va_op_xmm_xmm
5)) (va_pbool_and (va_codegen_success_VPshufb (va_op_xmm_xmm 10) (va_op_xmm_xmm 10)
(va_op_xmm_xmm 0)) (va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 13) (va_op_xmm_xmm
11) (va_op_xmm_xmm 5)) (va_pbool_and (va_codegen_success_VPshufb (va_op_xmm_xmm 11)
(va_op_xmm_xmm 11) (va_op_xmm_xmm 0)) (va_pbool_and (va_codegen_success_VPxor (va_op_xmm_xmm
10) (va_op_xmm_xmm 10) (va_op_opr128_xmm 4)) (va_pbool_and (va_codegen_success_VPaddd
(va_op_xmm_xmm 14) (va_op_xmm_xmm 12) (va_op_xmm_xmm 5)) (va_pbool_and
(va_codegen_success_VPshufb (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_xmm_xmm 0))
(va_pbool_and (va_codegen_success_VPxor (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_opr128_xmm
4)) (va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 1) (va_op_xmm_xmm 13)
(va_op_xmm_xmm 5)) (va_pbool_and (va_codegen_success_VPshufb (va_op_xmm_xmm 13) (va_op_xmm_xmm
13) (va_op_xmm_xmm 0)) (va_pbool_and (va_codegen_success_VPxor (va_op_xmm_xmm 12)
(va_op_xmm_xmm 12) (va_op_opr128_xmm 4)) (va_pbool_and (va_codegen_success_VPshufb
(va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_xmm_xmm 0)) (va_pbool_and
(va_codegen_success_VPxor (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_opr128_xmm 4))
(va_pbool_and (va_codegen_success_VPshufb (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm
0)) (va_pbool_and (va_codegen_success_VPxor (va_op_xmm_xmm 14) (va_op_xmm_xmm 14)
(va_op_opr128_xmm 4)) (va_ttrue ())))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Handle_ctr32_2 (va_mods:va_mods_t) (ctr_BE:quad32) : (va_quickCode unit
(va_code_Handle_ctr32_2 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 253 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 6) (va_op_xmm_xmm 1) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 258 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load_one_lsb (va_op_xmm_xmm 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 260 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 10) (va_op_xmm_xmm 6) (va_op_xmm_xmm 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 262 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load_two_lsb (va_op_xmm_xmm 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 263 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 11) (va_op_xmm_xmm 6) (va_op_xmm_xmm 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 265 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 12) (va_op_xmm_xmm 10) (va_op_xmm_xmm 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 266 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 267 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 13) (va_op_xmm_xmm 11) (va_op_xmm_xmm 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 268 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 269 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_opr128_xmm 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 14) (va_op_xmm_xmm 12) (va_op_xmm_xmm 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 271 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 272 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_opr128_xmm 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 273 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 1) (va_op_xmm_xmm 13) (va_op_xmm_xmm 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 274 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 275 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_opr128_xmm 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 276 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 277 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_opr128_xmm 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_opr128_xmm 4)) (va_QEmpty
(())))))))))))))))))))))))
val va_lemma_Handle_ctr32_2 : va_b0:va_code -> va_s0:va_state -> ctr_BE:quad32
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Handle_ctr32_2 ()) va_s0 /\ va_get_ok va_s0 /\
(avx_enabled /\ sse_enabled /\ va_get_xmm 0 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 ctr_BE)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(va_get_xmm 10 va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 1)) (va_get_xmm 4 va_sM) /\ va_get_xmm 11 va_sM ==
Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 2)) (va_get_xmm 4 va_sM) /\ va_get_xmm 12 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 3)) (va_get_xmm 4 va_sM)
/\ va_get_xmm 13 va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 4)) (va_get_xmm 4 va_sM) /\ va_get_xmm 14 va_sM ==
Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 5)) (va_get_xmm 4 va_sM) /\ va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 6)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_xmm
14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm
10 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1
va_sM (va_update_reg64 rR11 va_sM (va_update_ok va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Handle_ctr32_2 va_b0 va_s0 ctr_BE =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm
11; va_Mod_xmm 10; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_reg64 rR11;
va_Mod_ok] in
let va_qc = va_qcode_Handle_ctr32_2 va_mods ctr_BE in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Handle_ctr32_2 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ (label va_range1
"***** POSTCONDITION NOT MET AT line 246 column 77 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 10 va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 1)) (va_get_xmm 4 va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 247 column 77 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 11 va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 2)) (va_get_xmm 4 va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 248 column 77 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 12 va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 3)) (va_get_xmm 4 va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 249 column 77 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 13 va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 4)) (va_get_xmm 4 va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 250 column 77 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 14 va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 5)) (va_get_xmm 4 va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 251 column 72 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE
6)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11;
va_Mod_xmm 10; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_reg64 rR11;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Handle_ctr32_2 (ctr_BE:quad32) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ (avx_enabled /\ sse_enabled /\ va_get_xmm 0 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 ctr_BE) /\ (forall (va_x_r11:nat64) (va_x_xmm1:quad32)
(va_x_xmm2:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32) (va_x_xmm10:quad32)
(va_x_xmm11:quad32) (va_x_xmm12:quad32) (va_x_xmm13:quad32) (va_x_xmm14:quad32)
(va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_xmm 14 va_x_xmm14
(va_upd_xmm 13 va_x_xmm13 (va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10
va_x_xmm10 (va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 2 va_x_xmm2 (va_upd_xmm
1 va_x_xmm1 (va_upd_reg64 rR11 va_x_r11 va_s0)))))))))) in va_get_ok va_sM /\ (va_get_xmm 10
va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 1)) (va_get_xmm 4 va_sM) /\ va_get_xmm 11 va_sM ==
Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 2)) (va_get_xmm 4 va_sM) /\ va_get_xmm 12 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 3)) (va_get_xmm 4 va_sM)
/\ va_get_xmm 13 va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 4)) (va_get_xmm 4 va_sM) /\ va_get_xmm 14 va_sM ==
Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 5)) (va_get_xmm 4 va_sM) /\ va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 6)) ==> va_k va_sM (())))
val va_wpProof_Handle_ctr32_2 : ctr_BE: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_Handle_ctr32_2 ctr_BE va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Handle_ctr32_2 ()) ([va_Mod_flags;
va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 6;
va_Mod_xmm 5; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_reg64 rR11]) va_s0 va_k ((va_sM, va_f0,
va_g))))
[@"opaque_to_smt"]
let va_wpProof_Handle_ctr32_2 ctr_BE va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Handle_ctr32_2 (va_code_Handle_ctr32_2 ()) va_s0 ctr_BE in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM
(va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 6 va_sM
(va_update_xmm 5 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_reg64 rR11
va_sM (va_update_ok va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11;
va_Mod_xmm 10; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_reg64 rR11])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Handle_ctr32_2 (ctr_BE:quad32) : (va_quickCode unit (va_code_Handle_ctr32_2 ())) =
(va_QProc (va_code_Handle_ctr32_2 ()) ([va_Mod_flags; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm
12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 2; va_Mod_xmm 1;
va_Mod_reg64 rR11]) (va_wp_Handle_ctr32_2 ctr_BE) (va_wpProof_Handle_ctr32_2 ctr_BE))
//--
//-- Loop6x_decrypt
#push-options "--z3rlimit 300"
val va_code_Loop6x_decrypt : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Loop6x_decrypt alg =
(va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CCons (va_code_Loop6x_partial alg) (va_CCons (va_code_Loop6x_final alg)
(va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 6)) (va_CCons (va_IfElse
(va_cmp_gt (va_op_cmp_reg64 rRdx) (va_const_cmp 6)) (va_Block (va_CCons (va_code_Add64
(va_op_dst_opr64_reg64 rR14) (va_const_opr64 96)) (va_CNil ()))) (va_Block (va_CNil ())))
(va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_IfElse (va_cmp_gt
(va_op_cmp_reg64 rRdx) (va_const_cmp 0)) (va_Block (va_CCons (va_code_Loop6x_save_output ())
(va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 7)
(va_op_reg_opr64_reg64 rRbp) 32 Secret) (va_CCons (va_Block (va_CNil ())) (va_CNil ())))))
(va_Block (va_CCons (va_code_Mem128_lemma ()) (va_CCons (va_code_VPolyAdd (va_op_xmm_xmm 8)
(va_op_xmm_xmm 8) (va_opr_code_Mem128 (va_op_heaplet_mem_heaplet 3) (va_op_reg64_reg64 rRbp) 16
Secret)) (va_CCons (va_code_VPolyAdd (va_op_xmm_xmm 8) (va_op_xmm_xmm 8) (va_op_opr128_xmm 4))
(va_CNil ())))))) (va_CNil ()))))))))))))))
val va_codegen_success_Loop6x_decrypt : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Loop6x_decrypt alg =
(va_pbool_and (va_codegen_success_Loop6x_partial alg) (va_pbool_and
(va_codegen_success_Loop6x_final alg) (va_pbool_and (va_codegen_success_Sub64
(va_op_dst_opr64_reg64 rRdx) (va_const_opr64 6)) (va_pbool_and (va_codegen_success_Add64
(va_op_dst_opr64_reg64 rR14) (va_const_opr64 96)) (va_pbool_and (va_pbool_and
(va_codegen_success_Loop6x_save_output ()) (va_pbool_and (va_codegen_success_Load128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 7) (va_op_reg_opr64_reg64 rRbp) 32 Secret)
(va_pbool_and (va_codegen_success_Mem128_lemma ()) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_xmm_xmm 8) (va_op_xmm_xmm 8) (va_opr_code_Mem128 (va_op_heaplet_mem_heaplet 3)
(va_op_reg64_reg64 rRbp) 16 Secret)) (va_codegen_success_VPolyAdd (va_op_xmm_xmm 8)
(va_op_xmm_xmm 8) (va_op_opr128_xmm 4)))))) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Loop6x_decrypt (va_mods:va_mods_t) (alg:algorithm) (h_LE:quad32) (y_orig:quad32)
(y_prev:quad32) (count:nat) (iv_b:buffer128) (in0_b:buffer128) (in_b:buffer128) (out_b:buffer128)
(scratch_b:buffer128) (plain_quads:(seq quad32)) (key_words:(seq nat32)) (round_keys:(seq
quad32)) (keys_b:buffer128) (hkeys_b:buffer128) (ctr_BE_orig:quad32) (ctr_BE:quad32) :
(va_quickCode (quad32) (va_code_Loop6x_decrypt alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(prev:Vale.Math.Poly2_s.poly) = add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s))
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_s))) (Vale.Math.Poly2.Bits_s.of_quad32
(Vale.X64.Decls.buffer128_read scratch_b 1 (va_get_mem_heaplet 3 va_s))) in let
(y_prev:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 prev) in va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 449 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.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.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in0_b) (count
`op_Multiply` 6) (count `op_Multiply` 6 + 6)) (fun _ -> let (data:(FStar.Seq.Base.seq
Vale.X64.Decls.quad32)) = FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) in0_b) (count `op_Multiply` 6) (count `op_Multiply` 6 + 6) in
va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 450 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.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.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in_b) (count
`op_Multiply` 6) (count `op_Multiply` 6 + 6)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 450 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(FStar.Seq.Base.equal #Vale.X64.Decls.quad32 data (FStar.Seq.Base.slice #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in_b) (count `op_Multiply` 6) (count
`op_Multiply` 6 + 6))) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 451 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.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.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in_b) (count
`op_Multiply` 6) (count `op_Multiply` 6 + 6) /\ (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)))) quad32 plain_quads (count `op_Multiply` 6) (count
`op_Multiply` 6 + 6)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 451 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(FStar.Seq.Base.equal #Vale.X64.Decls.quad32 (FStar.Seq.Base.slice #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in_b) (count `op_Multiply` 6) (count
`op_Multiply` 6 + 6)) (FStar.Seq.Base.slice #quad32 plain_quads (count `op_Multiply` 6) (count
`op_Multiply` 6 + 6))) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 453 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Math.Poly2_s.degree (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s)) < 128)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 454 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Math.Poly2_s.degree (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_s)) < 128)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 455 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Math.Poly2_s.degree (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
scratch_b 1 (va_get_mem_heaplet 3 va_s))) < 128) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Math.Poly2_s.degree prev < 128) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 457 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 prev) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x_partial alg h_LE y_prev data count (va_if (va_get_reg64 rRdx va_s > 6) (fun _
-> count + 1) (fun _ -> count)) iv_b in0_b in_b scratch_b key_words round_keys keys_b hkeys_b
ctr_BE) (fun (va_s:va_state) (init:quad32_6) -> let (eventual_Xi:Vale.Math.Poly2_s.poly) = add
(add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s)) (Vale.Math.Poly2.Bits_s.of_quad32
(Vale.X64.Decls.buffer128_read scratch_b 1 (va_get_mem_heaplet 3 va_s))))
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_s)) in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 463 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(eventual_Xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GHash.ghash_incremental h_LE y_prev data))) (let (ctrs:(six_of
Vale.Def.Types_s.quad32)) = make_six_of #Vale.Def.Types_s.quad32 (fun (i:(va_int_range 0 5)) ->
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE i)) in let
(plains:(six_of Vale.X64.Decls.quad32)) = make_six_of #Vale.X64.Decls.quad32 (fun
(i:(va_int_range 0 5)) -> Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + i)
(va_get_mem_heaplet 6 va_s)) in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 468 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x_final alg iv_b scratch_b key_words round_keys keys_b (Vale.AES.GCTR.inc32lite
ctr_BE 6) init ctrs plains (Vale.X64.Decls.buffer128_read in0_b (va_if (va_get_reg64 rRdx va_s
> 6) (fun _ -> count + 1) (fun _ -> count) `op_Multiply` 6 + 0) (va_get_mem_heaplet 6 va_s)))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 471 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 6)) (fun (va_s:va_state) _ ->
va_QBind va_range1
"***** PRECONDITION NOT MET AT line 472 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_qIf va_mods (Cmp_gt (va_op_cmp_reg64 rRdx) (va_const_cmp 6)) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 474 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rR14) (va_const_opr64 96)) (va_QEmpty (())))) (qblock
va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> let
(y_new:quad32) = Vale.AES.GHash.ghash_incremental0 h_LE y_prev data in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 479 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.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)))) quad32
plain_quads 0 (count `op_Multiply` 6)) (fun _ -> let (va_arg104:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = data in let (va_arg103:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #quad32 plain_quads 0 (count `op_Multiply` 6)
in let (va_arg102:Vale.Def.Types_s.quad32) = y_new in let (va_arg101:Vale.Def.Types_s.quad32) =
y_orig in let (va_arg100:Vale.Def.Types_s.quad32) = h_LE in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 479 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GHash.lemma_ghash_incremental0_append va_arg100 va_arg101 y_prev
va_arg102 va_arg103 va_arg104) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 480 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.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)))) quad32
plain_quads 0 (count `op_Multiply` 6)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 480 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(y_new == Vale.AES.GHash.ghash_incremental0 h_LE y_orig (FStar.Seq.Base.append #quad32
(FStar.Seq.Base.slice #quad32 plain_quads 0 (count `op_Multiply` 6)) data)) (va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 481 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.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)))) quad32
plain_quads 0 (count `op_Multiply` 6) /\ (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)))) quad32 plain_quads 0 ((count + 1) `op_Multiply` 6))
(fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 481 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(FStar.Seq.Base.equal #quad32 (FStar.Seq.Base.append #quad32 (FStar.Seq.Base.slice #quad32
plain_quads 0 (count `op_Multiply` 6)) data) (FStar.Seq.Base.slice #quad32 plain_quads 0
((count + 1) `op_Multiply` 6))) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 483 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.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)))) quad32
plain_quads 0 ((count + 1) `op_Multiply` 6)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 483 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(y_new == Vale.AES.GHash.ghash_incremental0 h_LE y_orig (FStar.Seq.Base.slice #quad32
plain_quads 0 ((count + 1) `op_Multiply` 6))) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 486 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_qIf va_mods (Cmp_gt (va_op_cmp_reg64 rRdx) (va_const_cmp 0)) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 488 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x_save_output count out_b) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 492 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 7) (va_op_reg_opr64_reg64
rRbp) 32 Secret scratch_b 2) (fun (va_s:va_state) _ -> let (plain:(FStar.Seq.Base.seq
Vale.X64.Decls.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old_s) in_b in let
(cipher:(FStar.Seq.Base.seq Vale.X64.Decls.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_s) out_b in let (bound:(va_int_at_least 0)) = count `op_Multiply` 6 in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 497 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(bound >= 0 /\ bound <= 4294967295) (fun _ -> let (va_arg99:Vale.Def.Types_s.quad32) =
ctr_BE_orig in let (va_arg98:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = key_words in let
(va_arg97:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = cipher in let
(va_arg96:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old_s) out_b in let (va_arg95:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = plain_quads in let (va_arg94:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = plain_quads in let (va_arg93:Vale.Def.Types_s.nat32) = bound in let
(va_arg92:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 497 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_partial_opaque_ignores_postfix va_arg92 va_arg93 va_arg94
va_arg95 va_arg96 va_arg97 va_arg98 va_arg99) (let (va_arg91:Vale.Def.Types_s.quad32) =
ctr_BE_orig in let (va_arg90:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = key_words in let
(va_arg89:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = cipher in let
(va_arg88:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = plain_quads in let
(va_arg87:Prims.nat) = bound in let (va_arg86:Vale.AES.AES_common_s.algorithm) = alg in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 499 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_partial_extend6 va_arg86 va_arg87 va_arg88 va_arg89
va_arg90 va_arg91) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s) in let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(Vale.X64.Decls.buffer128_read scratch_b 1 (va_get_mem_heaplet 3 va_s)) in let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 501 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GHash.lemma_add_manip va_arg83 va_arg84 va_arg85) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 507 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(y_new == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GHash.ghash_incremental h_LE y_prev data))))) (va_QEmpty (())))))))))) (qblock
va_mods (fun (va_s:va_state) -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 511 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(eventual_Xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GHash.ghash_incremental h_LE y_prev data))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 512 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Mem128_lemma (va_op_heaplet_mem_heaplet 3) (va_op_reg64_reg64 rRbp) 16 Secret
scratch_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 512 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPolyAdd (va_op_xmm_xmm 8) (va_op_xmm_xmm 8) (va_opr_code_Mem128
(va_op_heaplet_mem_heaplet 3) (va_op_reg64_reg64 rRbp) 16 Secret)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 513 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPolyAdd (va_op_xmm_xmm 8) (va_op_xmm_xmm 8) (va_op_opr128_xmm 4)) (fun
(va_s:va_state) _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 514 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s) == Vale.Math.Poly2.Bits_s.of_quad32
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GHash.ghash_incremental h_LE y_prev data)))
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 515 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s)) ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2.Bits_s.of_quad32
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GHash.ghash_incremental h_LE y_prev data))))
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 516 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 8 va_s == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GHash.ghash_incremental
h_LE y_prev data)) (va_QEmpty (()))))))))))) (fun (va_s:va_state) va_g -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 518 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_registers_reveal ()) (va_QEmpty
((y_new)))))))))))))))))))))))))))))
val va_lemma_Loop6x_decrypt : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> h_LE:quad32 ->
y_orig:quad32 -> y_prev:quad32 -> count:nat -> iv_b:buffer128 -> in0_b:buffer128 ->
in_b:buffer128 -> out_b:buffer128 -> scratch_b:buffer128 -> plain_quads:(seq quad32) ->
key_words:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 ->
ctr_BE_orig:quad32 -> ctr_BE:quad32
-> Ghost (va_state & va_fuel & quad32)
(requires (va_require_total va_b0 (va_code_Loop6x_decrypt alg) va_s0 /\ va_get_ok va_s0 /\
(sse_enabled /\ movbe_enabled /\ va_get_reg64 rRdx va_s0 >= 6 /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_s0) (va_get_reg64 rR8 va_s0) iv_b 1
(va_get_mem_layout va_s0) Public /\ (va_get_reg64 rRdx va_s0 > 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rR14 va_s0)
in0_b ((count + 1) `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx
va_s0 == 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64
rR14 va_s0) in0_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret) /\
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi va_s0)
in_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
out_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0)
Secret /\ Vale.AES.GCTR.partial_seq_agreement plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) in_b) (count `op_Multiply` 6) (count `op_Multiply` 6 + 6) /\
(Vale.X64.Decls.buffers_disjoint128 in_b out_b \/ in_b == out_b) /\ in0_b == in_b /\
va_get_reg64 rRdi va_s0 + 96 < pow2_64 /\ va_get_reg64 rR14 va_s0 + 96 < pow2_64 /\
va_get_reg64 rRsi va_s0 + 96 < pow2_64 /\ aes_reqs_offset alg key_words round_keys keys_b
(va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ va_get_xmm
15 va_s0 == FStar.Seq.Base.index #quad32 round_keys 0 /\ pclmulqdq_enabled /\ h_LE ==
Vale.AES.AES_s.aes_encrypt_LE alg key_words (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0)
hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ scratch_reqs scratch_b count
(va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in0_b)
(va_get_xmm 7 va_s0) /\ y_prev == Vale.AES.GHash.ghash_incremental0 h_LE y_orig
(FStar.Seq.Base.slice #quad32 plain_quads 0 (count `op_Multiply` 6)) /\ y_prev ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s0))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
scratch_b 1 (va_get_mem_heaplet 3 va_s0))))) /\ count `op_Multiply` 6 + 6 < pow2_32 /\ ctr_BE
== Vale.AES.GCTR.inc32lite ctr_BE_orig (count `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 0) /\ va_get_reg64 rRbx
va_s0 == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_BE `op_Modulus` 256 /\ va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 0)) (va_get_xmm 15 va_s0) /\ (va_get_reg64 rRbx va_s0 + 6 < 256
==> va_get_xmm 10 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 1)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 2)) /\ (va_get_reg64 rRbx
va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 3)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13
va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 4)) /\
(va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 5)) /\
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` count) plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) out_b) key_words ctr_BE_orig)))
(ensures (fun (va_sM, va_fM, y_new) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM
/\ ((va_get_reg64 rRdx va_sM == 0 ==> va_get_mem_heaplet 6 va_sM == va_get_mem_heaplet 6 va_s0)
/\ Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 8 /\ Vale.X64.Decls.modifies_buffer_specific128 out_b
(va_get_mem_heaplet 6 va_s0) (va_get_mem_heaplet 6 va_sM) (count `op_Multiply` 6 + 0) (count
`op_Multiply` 6 + 5) /\ Vale.X64.Decls.modifies_buffer_specific128 iv_b (va_get_mem_heaplet 2
va_s0) (va_get_mem_heaplet 2 va_sM) 0 0 /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.AES.GCTR.partial_seq_agreement plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_sM) in_b) ((count + 1) `op_Multiply` 6) ((count + 1) `op_Multiply` 6)) /\ va_get_reg64 rRdx
va_sM == va_get_reg64 rRdx va_s0 - 6 /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 + 96
/\ va_get_reg64 rR14 va_sM == (if (va_get_reg64 rRdx va_sM > 6) then (va_get_reg64 rR14 va_s0 +
96) else va_get_reg64 rR14 va_s0) /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + 96 /\
va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 round_keys 0 /\ va_get_xmm 2 va_sM ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 6) /\ (va_get_reg64 rRbx
va_sM + 6 < 256 ==> va_get_xmm 0 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 7)) /\ (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 5
va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 8)) /\
(va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 6 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 9)) /\ (va_get_reg64 rRdx
va_sM == 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 7 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 10))) /\ (va_get_reg64
rRbx va_sM + 6 < 256 ==> va_get_xmm 3 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 11)) /\ va_get_reg64 rRbx va_sM ==
Vale.Def.Words_s.__proj__Mkfour__item__lo0 (Vale.AES.GCTR.inc32lite ctr_BE 6) `op_Modulus` 256
/\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM)
(va_get_xmm 10 va_sM) (va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM)
(va_get_xmm 14 va_sM) plain_quads alg key_words ctr_BE_orig count) /\ (va_get_reg64 rRdx va_sM
> 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 6)) (va_get_xmm 15
va_sM)) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 10 va_sM == va_get_xmm 0 va_sM) /\
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 11 va_sM == va_get_xmm 5 va_sM) /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_xmm 12 va_sM == va_get_xmm 6 va_sM) /\ (va_get_reg64 rRdx va_sM > 0
==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 10))) /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_xmm 14 va_sM == va_get_xmm 3 va_sM) /\ (va_get_reg64 rRdx va_sM > 0
==> Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 0) (va_get_mem_heaplet 6
va_sM) == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply`
6 + 0) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 0))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 1) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 1)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 1))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 2) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 2)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 2))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 3) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 3)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 3))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 4) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 4)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 4))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 5) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 5)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 5))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` (count + 1)) plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) out_b) key_words ctr_BE_orig) /\ y_new ==
Vale.AES.GHash.ghash_incremental0 h_LE y_orig (FStar.Seq.Base.slice #quad32 plain_quads 0
((count + 1) `op_Multiply` 6)) /\ (va_get_reg64 rRdx va_sM > 0 ==> y_new ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_sM))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
scratch_b 1 (va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8
va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_new) /\ (va_get_reg64 rRdx va_sM > 0 ==>
scratch_reqs scratch_b (count + 1) (va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) in0_b) (va_get_xmm 7 va_sM))) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2 va_sM
(va_update_mem_heaplet 6 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm
13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm
9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5
va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1
va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM
(va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM
(va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Loop6x_decrypt va_b0 va_s0 alg h_LE y_orig y_prev count iv_b in0_b in_b out_b
scratch_b plain_quads key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2;
va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm
11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14;
va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_Loop6x_decrypt va_mods alg h_LE y_orig y_prev count iv_b in0_b in_b out_b
scratch_b plain_quads key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Loop6x_decrypt alg) va_qc va_s0 (fun
va_s0 va_sM va_g -> let y_new = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 290 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ (label va_range1
"***** POSTCONDITION NOT MET AT line 388 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_mem_heaplet 6 va_sM == va_get_mem_heaplet 6 va_s0) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 389 column 72 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 8) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 390 column 94 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 out_b (va_get_mem_heaplet 6 va_s0)
(va_get_mem_heaplet 6 va_sM) (count `op_Multiply` 6 + 0) (count `op_Multiply` 6 + 5)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 391 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 iv_b (va_get_mem_heaplet 2 va_s0)
(va_get_mem_heaplet 2 va_sM) 0 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 392 column 100 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.partial_seq_agreement plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) in_b) ((count + 1) `op_Multiply` 6) ((count +
1) `op_Multiply` 6)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 397 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_s0 - 6) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 398 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 + 96) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 399 column 64 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rR14 va_sM == va_if (va_get_reg64 rRdx va_sM > 6) (fun _ -> va_get_reg64 rR14
va_s0 + 96) (fun _ -> va_get_reg64 rR14 va_s0)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 400 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + 96) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 402 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 round_keys 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 405 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 407 column 59 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE
6)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 408 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 0 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 7)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 409 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 5 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 8)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 410 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 6 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 9)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 411 column 94 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 7 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 10))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 412 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 3 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 11)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 414 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 (Vale.AES.GCTR.inc32lite
ctr_BE 6) `op_Modulus` 256) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 418 column 85 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm
10 va_sM) (va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14
va_sM) plain_quads alg key_words ctr_BE_orig count) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 420 column 93 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 6)) (va_get_xmm 15
va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 421 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 10 va_sM == va_get_xmm 0 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 422 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 11 va_sM == va_get_xmm 5 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 423 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 12 va_sM == va_get_xmm 6 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 424 column 98 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 10))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 425 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 14 va_sM == va_get_xmm 3 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 427 column 177 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 +
0) (va_get_mem_heaplet 6 va_sM) == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read
in_b (count `op_Multiply` 6 + 0) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE 0))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 428 column 177 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 +
1) (va_get_mem_heaplet 6 va_sM) == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read
in_b (count `op_Multiply` 6 + 1) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE 1))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 429 column 177 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 +
2) (va_get_mem_heaplet 6 va_sM) == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read
in_b (count `op_Multiply` 6 + 2) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE 2))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 430 column 177 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 +
3) (va_get_mem_heaplet 6 va_sM) == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read
in_b (count `op_Multiply` 6 + 3) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE 3))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 431 column 177 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 +
4) (va_get_mem_heaplet 6 va_sM) == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read
in_b (count `op_Multiply` 6 + 4) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE 4))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 432 column 177 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 +
5) (va_get_mem_heaplet 6 va_sM) == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read
in_b (count `op_Multiply` 6 + 5) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE 5))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 435 column 108 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` (count + 1))
plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out_b) key_words ctr_BE_orig) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 438 column 90 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(y_new == Vale.AES.GHash.ghash_incremental0 h_LE y_orig (FStar.Seq.Base.slice #quad32
plain_quads 0 ((count + 1) `op_Multiply` 6))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 440 column 103 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> y_new == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_sM)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read scratch_b 1
(va_get_mem_heaplet 3 va_sM)))))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 441 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
y_new) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 443 column 89 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs scratch_b (count + 1) (va_get_mem_heaplet 3
va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in0_b) (va_get_xmm 7 va_sM)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet
6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10;
va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm
3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_reg64
rRdi; va_Mod_ok; va_Mod_mem]) va_sM va_s0;
let y_new = va_g in
(va_sM, va_fM, y_new)
[@ va_qattr]
let va_wp_Loop6x_decrypt (alg:algorithm) (h_LE:quad32) (y_orig:quad32) (y_prev:quad32) (count:nat)
(iv_b:buffer128) (in0_b:buffer128) (in_b:buffer128) (out_b:buffer128) (scratch_b:buffer128)
(plain_quads:(seq quad32)) (key_words:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128)
(hkeys_b:buffer128) (ctr_BE_orig:quad32) (ctr_BE:quad32) (va_s0:va_state) (va_k:(va_state ->
quad32 -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ movbe_enabled /\ va_get_reg64 rRdx va_s0 >= 6 /\ va_get_xmm 2
va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_s0) (va_get_reg64 rR8 va_s0) iv_b 1
(va_get_mem_layout va_s0) Public /\ (va_get_reg64 rRdx va_s0 > 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rR14 va_s0)
in0_b ((count + 1) `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx
va_s0 == 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64
rR14 va_s0) in0_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret) /\
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi va_s0)
in_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
out_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0)
Secret /\ Vale.AES.GCTR.partial_seq_agreement plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) in_b) (count `op_Multiply` 6) (count `op_Multiply` 6 + 6) /\
(Vale.X64.Decls.buffers_disjoint128 in_b out_b \/ in_b == out_b) /\ in0_b == in_b /\
va_get_reg64 rRdi va_s0 + 96 < pow2_64 /\ va_get_reg64 rR14 va_s0 + 96 < pow2_64 /\
va_get_reg64 rRsi va_s0 + 96 < pow2_64 /\ aes_reqs_offset alg key_words round_keys keys_b
(va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ va_get_xmm
15 va_s0 == FStar.Seq.Base.index #quad32 round_keys 0 /\ pclmulqdq_enabled /\ h_LE ==
Vale.AES.AES_s.aes_encrypt_LE alg key_words (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0)
hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ scratch_reqs scratch_b count
(va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in0_b)
(va_get_xmm 7 va_s0) /\ y_prev == Vale.AES.GHash.ghash_incremental0 h_LE y_orig
(FStar.Seq.Base.slice #quad32 plain_quads 0 (count `op_Multiply` 6)) /\ y_prev ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s0))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
scratch_b 1 (va_get_mem_heaplet 3 va_s0))))) /\ count `op_Multiply` 6 + 6 < pow2_32 /\ ctr_BE
== Vale.AES.GCTR.inc32lite ctr_BE_orig (count `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 0) /\ va_get_reg64 rRbx
va_s0 == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_BE `op_Modulus` 256 /\ va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 0)) (va_get_xmm 15 va_s0) /\ (va_get_reg64 rRbx va_s0 + 6 < 256
==> va_get_xmm 10 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 1)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 2)) /\ (va_get_reg64 rRbx
va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 3)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13
va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 4)) /\
(va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 5)) /\
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` count) plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) out_b) key_words ctr_BE_orig) /\ (forall (va_x_mem:vale_heap)
(va_x_rdi:nat64) (va_x_rsi:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r11:nat64)
(va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_xmm0:quad32) (va_x_xmm1:quad32)
(va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32)
(va_x_xmm7:quad32) (va_x_xmm8:quad32) (va_x_xmm9:quad32) (va_x_xmm10:quad32)
(va_x_xmm11:quad32) (va_x_xmm12:quad32) (va_x_xmm13:quad32) (va_x_xmm14:quad32)
(va_x_xmm15:quad32) (va_x_heap6:vale_heap) (va_x_heap2:vale_heap) (va_x_heap3:vale_heap)
(va_x_efl:Vale.X64.Flags.t) (y_new:quad32) . let va_sM = va_upd_flags va_x_efl
(va_upd_mem_heaplet 3 va_x_heap3 (va_upd_mem_heaplet 2 va_x_heap2 (va_upd_mem_heaplet 6
va_x_heap6 (va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13 va_x_xmm13
(va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 9
va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5
va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 1
va_x_xmm1 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13
(va_upd_reg64 rR12 va_x_r12 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdi va_x_rdi (va_upd_mem
va_x_mem va_s0)))))))))))))))))))))))))))) in va_get_ok va_sM /\ ((va_get_reg64 rRdx va_sM == 0
==> va_get_mem_heaplet 6 va_sM == va_get_mem_heaplet 6 va_s0) /\
Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 8 /\ Vale.X64.Decls.modifies_buffer_specific128 out_b
(va_get_mem_heaplet 6 va_s0) (va_get_mem_heaplet 6 va_sM) (count `op_Multiply` 6 + 0) (count
`op_Multiply` 6 + 5) /\ Vale.X64.Decls.modifies_buffer_specific128 iv_b (va_get_mem_heaplet 2
va_s0) (va_get_mem_heaplet 2 va_sM) 0 0 /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.AES.GCTR.partial_seq_agreement plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_sM) in_b) ((count + 1) `op_Multiply` 6) ((count + 1) `op_Multiply` 6)) /\ va_get_reg64 rRdx
va_sM == va_get_reg64 rRdx va_s0 - 6 /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 + 96
/\ va_get_reg64 rR14 va_sM == va_if (va_get_reg64 rRdx va_sM > 6) (fun _ -> va_get_reg64 rR14
va_s0 + 96) (fun _ -> va_get_reg64 rR14 va_s0) /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi
va_s0 + 96 /\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 round_keys 0 /\ va_get_xmm 2
va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM
== Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 6) /\ (va_get_reg64
rRbx va_sM + 6 < 256 ==> va_get_xmm 0 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 7)) /\ (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 5
va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 8)) /\
(va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 6 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 9)) /\ (va_get_reg64 rRdx
va_sM == 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 7 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 10))) /\ (va_get_reg64
rRbx va_sM + 6 < 256 ==> va_get_xmm 3 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 11)) /\ va_get_reg64 rRbx va_sM ==
Vale.Def.Words_s.__proj__Mkfour__item__lo0 (Vale.AES.GCTR.inc32lite ctr_BE 6) `op_Modulus` 256
/\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM)
(va_get_xmm 10 va_sM) (va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM)
(va_get_xmm 14 va_sM) plain_quads alg key_words ctr_BE_orig count) /\ (va_get_reg64 rRdx va_sM
> 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 6)) (va_get_xmm 15
va_sM)) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 10 va_sM == va_get_xmm 0 va_sM) /\
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 11 va_sM == va_get_xmm 5 va_sM) /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_xmm 12 va_sM == va_get_xmm 6 va_sM) /\ (va_get_reg64 rRdx va_sM > 0
==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 10))) /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_xmm 14 va_sM == va_get_xmm 3 va_sM) /\ (va_get_reg64 rRdx va_sM > 0
==> Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 0) (va_get_mem_heaplet 6
va_sM) == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply`
6 + 0) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 0))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 1) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 1)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 1))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 2) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 2)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 2))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 3) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 3)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 3))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 4) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 4)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 4))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 5) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 5)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 5))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` (count + 1)) plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) out_b) key_words ctr_BE_orig) /\ y_new ==
Vale.AES.GHash.ghash_incremental0 h_LE y_orig (FStar.Seq.Base.slice #quad32 plain_quads 0
((count + 1) `op_Multiply` 6)) /\ (va_get_reg64 rRdx va_sM > 0 ==> y_new ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_sM))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
scratch_b 1 (va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8
va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_new) /\ (va_get_reg64 rRdx va_sM > 0 ==>
scratch_reqs scratch_b (count + 1) (va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) in0_b) (va_get_xmm 7 va_sM))) ==> va_k va_sM ((y_new))))
val va_wpProof_Loop6x_decrypt : alg:algorithm -> h_LE:quad32 -> y_orig:quad32 -> y_prev:quad32 ->
count:nat -> iv_b:buffer128 -> in0_b:buffer128 -> in_b:buffer128 -> out_b:buffer128 ->
scratch_b:buffer128 -> plain_quads:(seq quad32) -> key_words:(seq nat32) -> round_keys:(seq
quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 -> ctr_BE_orig:quad32 -> ctr_BE:quad32 ->
va_s0:va_state -> va_k:(va_state -> quad32 -> Type0)
-> Ghost (va_state & va_fuel & quad32)
(requires (va_t_require va_s0 /\ va_wp_Loop6x_decrypt alg h_LE y_orig y_prev count iv_b in0_b
in_b out_b scratch_b plain_quads key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE va_s0
va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Loop6x_decrypt alg) ([va_Mod_flags;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14;
va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8;
va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm
1; va_Mod_xmm 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11;
va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_mem]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Loop6x_decrypt alg h_LE y_orig y_prev count iv_b in0_b in_b out_b scratch_b
plain_quads key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE va_s0 va_k =
let (va_sM, va_f0, y_new) = va_lemma_Loop6x_decrypt (va_code_Loop6x_decrypt alg) va_s0 alg h_LE
y_orig y_prev count iv_b in0_b in_b out_b scratch_b plain_quads key_words round_keys keys_b
hkeys_b ctr_BE_orig ctr_BE in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 3 va_sM
(va_update_mem_heaplet 2 va_sM (va_update_mem_heaplet 6 va_sM (va_update_xmm 15 va_sM
(va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM
(va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM
(va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM
(va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR14
va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRsi va_sM
(va_update_reg64 rRdi va_sM (va_update_ok va_sM (va_update_mem va_sM
va_s0)))))))))))))))))))))))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet
6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10;
va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm
3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_reg64
rRdi; va_Mod_mem]) va_sM va_s0;
let va_g = (y_new) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Loop6x_decrypt (alg:algorithm) (h_LE:quad32) (y_orig:quad32) (y_prev:quad32)
(count:nat) (iv_b:buffer128) (in0_b:buffer128) (in_b:buffer128) (out_b:buffer128)
(scratch_b:buffer128) (plain_quads:(seq quad32)) (key_words:(seq nat32)) (round_keys:(seq
quad32)) (keys_b:buffer128) (hkeys_b:buffer128) (ctr_BE_orig:quad32) (ctr_BE:quad32) :
(va_quickCode quad32 (va_code_Loop6x_decrypt alg)) =
(va_QProc (va_code_Loop6x_decrypt alg) ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet
2; va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm
11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14;
va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_mem]) (va_wp_Loop6x_decrypt alg h_LE y_orig y_prev
count iv_b in0_b in_b out_b scratch_b plain_quads key_words round_keys keys_b hkeys_b
ctr_BE_orig ctr_BE) (va_wpProof_Loop6x_decrypt alg h_LE y_orig y_prev count iv_b in0_b in_b
out_b scratch_b plain_quads key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE))
#pop-options
//--
//-- Loop6x_loop_decrypt_body0
#push-options "--z3rlimit 700"
val va_code_Loop6x_loop_decrypt_body0 : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Loop6x_loop_decrypt_body0 alg =
(va_Block (va_CCons (va_code_Loop6x_decrypt alg) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))
val va_codegen_success_Loop6x_loop_decrypt_body0 : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Loop6x_loop_decrypt_body0 alg =
(va_pbool_and (va_codegen_success_Loop6x_decrypt alg) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Loop6x_loop_decrypt_body0 (va_mods:va_mods_t) (va_old:va_state) (alg:algorithm)
(va_in_ctr_BE_orig:quad32) (va_in_h_LE:quad32) (va_in_hkeys_b:buffer128) (va_in_in0_b:buffer128)
(va_in_in_b:buffer128) (va_in_iv_b:buffer128) (va_in_key_words:(seq nat32))
(va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32))
(va_in_round_keys:(seq quad32)) (va_in_scratch_b:buffer128) (va_in_y_orig:quad32)
(va_in_ctr:quad32) (va_in_iter:nat) (va_in_y_cur:quad32) : (va_quickCode (quad32 & nat & quad32)
(va_code_Loop6x_loop_decrypt_body0 alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(ctr_BE_orig:quad32) = va_in_ctr_BE_orig in let (h_LE:quad32) = va_in_h_LE in let
(hkeys_b:buffer128) = va_in_hkeys_b in let (in0_b:buffer128) = va_in_in0_b in let
(in_b:buffer128) = va_in_in_b in let (iv_b:buffer128) = va_in_iv_b in let (key_words:(seq
nat32)) = va_in_key_words in let (keys_b:buffer128) = va_in_keys_b in let (out_b:buffer128) =
va_in_out_b in let (plain_quads:(seq quad32)) = va_in_plain_quads in let (round_keys:(seq
quad32)) = va_in_round_keys in let (scratch_b:buffer128) = va_in_scratch_b in let
(y_orig:quad32) = va_in_y_orig in let (ctr:quad32) = va_in_ctr in let (iter:nat) = va_in_iter
in let (y_cur:quad32) = va_in_y_cur in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 733 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x_decrypt alg h_LE y_orig y_cur iter iv_b in0_b in_b out_b scratch_b plain_quads
key_words round_keys keys_b hkeys_b ctr_BE_orig ctr) (fun (va_s:va_state) (y_cur:quad32) ->
va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 735 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(iter + 1 >= 0) (fun _ -> let (iter:nat) = iter + 1 in let (ctr:quad32) = Vale.AES.GCTR_s.inc32
ctr 6 in va_QEmpty ((ctr, iter, y_cur))))))
val va_lemma_Loop6x_loop_decrypt_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
alg:algorithm -> va_in_ctr_BE_orig:quad32 -> va_in_h_LE:quad32 -> va_in_hkeys_b:buffer128 ->
va_in_in0_b:buffer128 -> va_in_in_b:buffer128 -> va_in_iv_b:buffer128 -> va_in_key_words:(seq
nat32) -> va_in_keys_b:buffer128 -> va_in_out_b:buffer128 -> va_in_plain_quads:(seq quad32) ->
va_in_round_keys:(seq quad32) -> va_in_scratch_b:buffer128 -> va_in_y_orig:quad32 ->
va_in_ctr:quad32 -> va_in_iter:nat -> va_in_y_cur:quad32
-> Ghost (va_state & va_fuel & quad32 & nat & quad32)
(requires (va_require_total va_b0 (va_code_Loop6x_loop_decrypt_body0 alg) va_s0 /\ va_get_ok
va_s0 /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_s0 == va_get_reg64 rRdx va_old
- 6 `op_Multiply` va_in_iter /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old + 96
`op_Multiply` va_in_iter /\ va_get_reg64 rRsi va_s0 == va_get_reg64 rRsi va_old + 96
`op_Multiply` va_in_iter /\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2
va_s0) (va_get_reg64 rR8 va_s0) va_in_iv_b 1 (va_get_mem_layout va_s0) Public /\ (va_get_reg64
rRdx va_s0 > 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b ((va_in_iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx
va_old - 6 `op_Multiply` (va_in_iter + 1)) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64
rRdx va_s0 == 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` va_in_iter) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0
==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi
va_s0) va_in_in_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply`
va_in_iter) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
va_in_out_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply`
va_in_iter) (va_get_mem_layout va_s0) Secret) /\ Vale.X64.Decls.validDstAddrs128
(va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0) va_in_scratch_b 9 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9
va_s0 - 32) va_in_hkeys_b 8 (va_get_mem_layout va_s0) Secret /\
(Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\
va_in_in0_b == va_in_in_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_s0) va_in_in_b) (6 `op_Multiply` va_in_iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_s0 >
0 ==> va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\
(va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rR14 va_s0 + 16 `op_Multiply` (va_get_reg64 rRdx
va_s0 - 6) < pow2_64) /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128
va_in_scratch_b (va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_s0) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) 0 (va_in_iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_s0 ==
0 ==> va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_s0) 0 (va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_s0) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0)
/\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_s0) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ (va_get_reg64 rRdx va_s0 > 0 ==> scratch_reqs va_in_scratch_b va_in_iter (va_get_mem_heaplet
3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in0_b) (va_get_xmm 7 va_s0))
/\ (va_in_iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==>
va_in_y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice
#quad32 va_in_plain_quads 0 (va_in_iter `op_Multiply` 6))) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
va_in_y_cur == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add
(add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s0))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
va_in_scratch_b 1 (va_get_mem_heaplet 3 va_s0)))))) /\ (va_get_reg64 rRdx va_s0 == 0 ==>
va_get_xmm 8 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 va_in_y_cur) /\ va_get_reg64 rRdx
va_s0 `op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ (6 <= va_get_reg64 rRdx
va_old /\ va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_iter `op_Multiply` 6 + 6 < pow2_32
/\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRdx va_s0 >= 6) /\ va_in_ctr ==
Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (va_in_iter `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 0) /\ va_get_reg64
rRbx va_s0 == va_in_ctr.lo0 `op_Modulus` 256 /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite va_in_ctr 0)) (va_get_xmm 15 va_s0)) /\ (va_get_reg64 rRdx va_s0 > 0
==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 10 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 1))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 2))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 3))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 4))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 5))) /\ (va_get_reg64
rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s0) (va_get_xmm 10 va_s0)
(va_get_xmm 11 va_s0) (va_get_xmm 12 va_s0) (va_get_xmm 13 va_s0) (va_get_xmm 14 va_s0)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_iter - 1)) /\ (va_get_reg64 rRdx
va_s0 > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_iter) va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_out_b) va_in_key_words
va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (va_in_iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_s0) va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ va_get_reg64 rRdx va_s0 > 0))
(ensures (fun (va_sM, va_fM, ctr, iter, y_cur) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_sM == va_get_reg64
rRdx va_old - 6 `op_Multiply` iter /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96
`op_Multiply` iter /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply`
iter /\ va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public /\ (va_get_reg64 rRdx va_sM > 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b ((iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` (iter +
1)) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM == 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRdi va_sM)
va_in_in_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRsi va_sM)
va_in_out_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3
va_sM) (va_get_reg64 rRbp va_sM) va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret /\
Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32)
va_in_hkeys_b 8 (va_get_mem_layout va_sM) Secret /\ (Vale.X64.Decls.buffers_disjoint128
va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ va_in_in0_b == va_in_in_b /\
FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old)
va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.partial_seq_agreement
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in_b) (6
`op_Multiply` iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64
rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64 rRdx va_sM >
0 ==> va_get_reg64 rR14 va_sM + 16 `op_Multiply` (va_get_reg64 rRdx va_sM - 6) < pow2_64) /\
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b
(va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_sM) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) 0 (iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_sM == 0 ==>
va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) 0 (va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)
/\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_sM) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ (va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b iter (va_get_mem_heaplet 3
va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\
(iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==> y_cur ==
Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice #quad32
va_in_plain_quads 0 (iter `op_Multiply` 6))) /\ (va_get_reg64 rRdx va_sM > 0 ==> y_cur ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_sM))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
va_in_scratch_b 1 (va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==>
va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ va_get_reg64 rRdx va_sM
`op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_sM < pow2_32 /\ (6 <= va_get_reg64 rRdx va_old /\
va_get_reg64 rRdx va_old + 6 < pow2_32) /\ iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_reg64 rRdx va_sM >= 6) /\ ctr == Vale.AES.GCTR.inc32lite
va_in_ctr_BE_orig (iter `op_Multiply` 6) /\ va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\ va_get_reg64 rRbx
va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256 /\ (va_get_reg64 rRdx
va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ (va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM
== Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ (va_get_reg64
rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ (va_get_reg64 rRdx
va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm 10 va_sM)
(va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14 va_sM)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (iter - 1)) /\ (va_get_reg64 rRdx va_sM
> 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` iter) va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b) va_in_key_words
va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ precedes_wrap (va_get_reg64 rRdx va_sM)
(va_get_reg64 rRdx va_s0) /\ va_state_eq va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM
(va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM
(va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM
(va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM
(va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx
va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM
(va_update_ok va_sM (va_update_mem va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet
3 va_sM (va_update_mem_heaplet 2 va_sM (va_update_flags va_sM
va_s0))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Loop6x_loop_decrypt_body0 va_b0 va_s0 va_old alg va_in_ctr_BE_orig va_in_h_LE
va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b
va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags] in
let va_qc = va_qcode_Loop6x_loop_decrypt_body0 va_mods va_old alg va_in_ctr_BE_orig va_in_h_LE
va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b
va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter
va_in_y_cur in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Loop6x_loop_decrypt_body0 alg) va_qc
va_s0 (fun va_s0 va_sM va_g -> let (ctr, iter, y_cur) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 521 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 653 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(sse_enabled /\ movbe_enabled) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 655 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_old - 6 `op_Multiply` iter) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 658 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96 `op_Multiply` iter) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 659 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 661 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 664 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 666 column 121 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rR14 va_sM) va_in_in0_b ((iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx
va_old - 6 `op_Multiply` (iter + 1)) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 669 column 114 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rR14 va_sM) va_in_in0_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` iter) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 671 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rRdi va_sM) va_in_in_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` iter) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 672 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rRsi va_sM) va_in_out_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` iter) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 674 column 74 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_sM) (va_get_reg64 rRbp va_sM)
va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 675 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32)
va_in_hkeys_b 8 (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 676 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 677 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_in0_b == va_in_in_b) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 679 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) va_in_in_b) >= 6) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 680 column 118 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in_b) (6 `op_Multiply` iter)
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) va_in_in_b))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 681 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 682 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rR14 va_sM + 16 `op_Multiply` (va_get_reg64 rRdx
va_sM - 6) < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 683 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 685 column 76 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b (va_get_mem_heaplet 3 va_old)
(va_get_mem_heaplet 3 va_sM) 1 8) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 686 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) 0 (iter `op_Multiply` 6 + 5)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 687 column 117 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_reg64 rRdx va_old >= 6 /\
Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) 0 (va_get_reg64 rRdx va_old - 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 688 column 74 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 691 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(aes_reqs_offset alg va_in_key_words va_in_round_keys va_in_keys_b (va_get_reg64 rRcx va_sM)
(va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 692 column 43 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 695 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
pclmulqdq_enabled /\ label va_range1
"***** POSTCONDITION NOT MET AT line 696 column 71 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 697 column 78 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_sM)
va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 698 column 85 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b iter (va_get_mem_heaplet 3 va_sM)
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 699 column 123 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==> y_cur ==
Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice #quad32
va_in_plain_quads 0 (iter `op_Multiply` 6))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 701 column 107 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_sM)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_sM)))))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 702 column 59 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
y_cur) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 705 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM `op_Modulus` 6 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 706 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 707 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(6 <= va_get_reg64 rRdx va_old /\ va_get_reg64 rRdx va_old + 6 < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 708 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(iter `op_Multiply` 6 + 6 < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 709 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdx va_sM >= 6) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 710 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (iter `op_Multiply` 6)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 711 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 712 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 713 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 715 column 94 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 717 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 718 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 719 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 720 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 721 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 724 column 90 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm
10 va_sM) (va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14
va_sM) va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (iter - 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 727 column 107 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` iter)
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 728 column 118 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` (iter - 1))
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 729 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(precedes_wrap (va_get_reg64 rRdx va_sM) (va_get_reg64 rRdx va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags]) va_sM va_s0;
let (ctr, iter, y_cur) = va_g in
(va_sM, va_fM, ctr, iter, y_cur)
[@ va_qattr]
let va_wp_Loop6x_loop_decrypt_body0 (va_old:va_state) (alg:algorithm) (va_in_ctr_BE_orig:quad32)
(va_in_h_LE:quad32) (va_in_hkeys_b:buffer128) (va_in_in0_b:buffer128) (va_in_in_b:buffer128)
(va_in_iv_b:buffer128) (va_in_key_words:(seq nat32)) (va_in_keys_b:buffer128)
(va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32)) (va_in_round_keys:(seq quad32))
(va_in_scratch_b:buffer128) (va_in_y_orig:quad32) (va_in_ctr:quad32) (va_in_iter:nat)
(va_in_y_cur:quad32) (va_s0:va_state) (va_k:(va_state -> (quad32 & nat & quad32) -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_s0 == va_get_reg64
rRdx va_old - 6 `op_Multiply` va_in_iter /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old
+ 96 `op_Multiply` va_in_iter /\ va_get_reg64 rRsi va_s0 == va_get_reg64 rRsi va_old + 96
`op_Multiply` va_in_iter /\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2
va_s0) (va_get_reg64 rR8 va_s0) va_in_iv_b 1 (va_get_mem_layout va_s0) Public /\ (va_get_reg64
rRdx va_s0 > 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b ((va_in_iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx
va_old - 6 `op_Multiply` (va_in_iter + 1)) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64
rRdx va_s0 == 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` va_in_iter) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0
==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi
va_s0) va_in_in_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply`
va_in_iter) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
va_in_out_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply`
va_in_iter) (va_get_mem_layout va_s0) Secret) /\ Vale.X64.Decls.validDstAddrs128
(va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0) va_in_scratch_b 9 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9
va_s0 - 32) va_in_hkeys_b 8 (va_get_mem_layout va_s0) Secret /\
(Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\
va_in_in0_b == va_in_in_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_s0) va_in_in_b) (6 `op_Multiply` va_in_iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_s0 >
0 ==> va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\
(va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rR14 va_s0 + 16 `op_Multiply` (va_get_reg64 rRdx
va_s0 - 6) < pow2_64) /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128
va_in_scratch_b (va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_s0) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) 0 (va_in_iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_s0 ==
0 ==> va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_s0) 0 (va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_s0) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0)
/\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_s0) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ (va_get_reg64 rRdx va_s0 > 0 ==> scratch_reqs va_in_scratch_b va_in_iter (va_get_mem_heaplet
3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in0_b) (va_get_xmm 7 va_s0))
/\ (va_in_iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==>
va_in_y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice
#quad32 va_in_plain_quads 0 (va_in_iter `op_Multiply` 6))) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
va_in_y_cur == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add
(add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s0))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
va_in_scratch_b 1 (va_get_mem_heaplet 3 va_s0)))))) /\ (va_get_reg64 rRdx va_s0 == 0 ==>
va_get_xmm 8 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 va_in_y_cur) /\ va_get_reg64 rRdx
va_s0 `op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ (6 <= va_get_reg64 rRdx
va_old /\ va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_iter `op_Multiply` 6 + 6 < pow2_32
/\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRdx va_s0 >= 6) /\ va_in_ctr ==
Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (va_in_iter `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 0) /\ va_get_reg64
rRbx va_s0 == va_in_ctr.lo0 `op_Modulus` 256 /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite va_in_ctr 0)) (va_get_xmm 15 va_s0)) /\ (va_get_reg64 rRdx va_s0 > 0
==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 10 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 1))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 2))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 3))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 4))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 5))) /\ (va_get_reg64
rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s0) (va_get_xmm 10 va_s0)
(va_get_xmm 11 va_s0) (va_get_xmm 12 va_s0) (va_get_xmm 13 va_s0) (va_get_xmm 14 va_s0)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_iter - 1)) /\ (va_get_reg64 rRdx
va_s0 > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_iter) va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_out_b) va_in_key_words
va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (va_in_iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_s0) va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ va_get_reg64 rRdx va_s0 > 0 /\
(forall (va_x_efl:Vale.X64.Flags.t) (va_x_heap2:vale_heap) (va_x_heap3:vale_heap)
(va_x_heap6:vale_heap) (va_x_mem:vale_heap) (va_x_ok:bool) (va_x_r11:nat64) (va_x_r12:nat64)
(va_x_r13:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rdi:nat64) (va_x_rdx:nat64)
(va_x_rsi:nat64) (va_x_xmm0:quad32) (va_x_xmm1:quad32) (va_x_xmm10:quad32) (va_x_xmm11:quad32)
(va_x_xmm12:quad32) (va_x_xmm13:quad32) (va_x_xmm14:quad32) (va_x_xmm15:quad32)
(va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32)
(va_x_xmm7:quad32) (va_x_xmm8:quad32) (va_x_xmm9:quad32) (ctr:quad32) (iter:nat) (y_cur:quad32)
. let va_sM = va_upd_xmm 9 va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7
(va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3
(va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13
va_x_xmm13 (va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10 va_x_xmm10
(va_upd_xmm 1 va_x_xmm1 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx
va_x_rdx (va_upd_reg64 rRdi va_x_rdi (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR12 va_x_r12 (va_upd_reg64 rR11 va_x_r11 (va_upd_ok
va_x_ok (va_upd_mem va_x_mem (va_upd_mem_heaplet 6 va_x_heap6 (va_upd_mem_heaplet 3 va_x_heap3
(va_upd_mem_heaplet 2 va_x_heap2 (va_upd_flags va_x_efl va_s0))))))))))))))))))))))))))))) in
va_get_ok va_sM /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_sM == va_get_reg64
rRdx va_old - 6 `op_Multiply` iter /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96
`op_Multiply` iter /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply`
iter /\ va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public /\ (va_get_reg64 rRdx va_sM > 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b ((iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` (iter +
1)) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM == 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRdi va_sM)
va_in_in_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRsi va_sM)
va_in_out_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3
va_sM) (va_get_reg64 rRbp va_sM) va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret /\
Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32)
va_in_hkeys_b 8 (va_get_mem_layout va_sM) Secret /\ (Vale.X64.Decls.buffers_disjoint128
va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ va_in_in0_b == va_in_in_b /\
FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old)
va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.partial_seq_agreement
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in_b) (6
`op_Multiply` iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64
rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64 rRdx va_sM >
0 ==> va_get_reg64 rR14 va_sM + 16 `op_Multiply` (va_get_reg64 rRdx va_sM - 6) < pow2_64) /\
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b
(va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_sM) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) 0 (iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_sM == 0 ==>
va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) 0 (va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)
/\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_sM) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ (va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b iter (va_get_mem_heaplet 3
va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\
(iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==> y_cur ==
Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice #quad32
va_in_plain_quads 0 (iter `op_Multiply` 6))) /\ (va_get_reg64 rRdx va_sM > 0 ==> y_cur ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_sM))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
va_in_scratch_b 1 (va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==>
va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ va_get_reg64 rRdx va_sM
`op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_sM < pow2_32 /\ (6 <= va_get_reg64 rRdx va_old /\
va_get_reg64 rRdx va_old + 6 < pow2_32) /\ iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_reg64 rRdx va_sM >= 6) /\ ctr == Vale.AES.GCTR.inc32lite
va_in_ctr_BE_orig (iter `op_Multiply` 6) /\ va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\ va_get_reg64 rRbx
va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256 /\ (va_get_reg64 rRdx
va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ (va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM
== Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ (va_get_reg64
rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ (va_get_reg64 rRdx
va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm 10 va_sM)
(va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14 va_sM)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (iter - 1)) /\ (va_get_reg64 rRdx va_sM
> 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` iter) va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b) va_in_key_words
va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ precedes_wrap (va_get_reg64 rRdx va_sM)
(va_get_reg64 rRdx va_s0) ==> va_k va_sM ((ctr, iter, y_cur))))
val va_wpProof_Loop6x_loop_decrypt_body0 : va_old:va_state -> alg:algorithm ->
va_in_ctr_BE_orig:quad32 -> va_in_h_LE:quad32 -> va_in_hkeys_b:buffer128 -> va_in_in0_b:buffer128
-> va_in_in_b:buffer128 -> va_in_iv_b:buffer128 -> va_in_key_words:(seq nat32) ->
va_in_keys_b:buffer128 -> va_in_out_b:buffer128 -> va_in_plain_quads:(seq quad32) ->
va_in_round_keys:(seq quad32) -> va_in_scratch_b:buffer128 -> va_in_y_orig:quad32 ->
va_in_ctr:quad32 -> va_in_iter:nat -> va_in_y_cur:quad32 -> va_s0:va_state -> va_k:(va_state ->
(quad32 & nat & quad32) -> Type0)
-> Ghost (va_state & va_fuel & (quad32 & nat & quad32))
(requires (va_t_require va_s0 /\ va_wp_Loop6x_loop_decrypt_body0 va_old alg va_in_ctr_BE_orig
va_in_h_LE va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b
va_in_out_b va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr
va_in_iter va_in_y_cur va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Loop6x_loop_decrypt_body0 alg)
([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4;
va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12;
va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx;
va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 3;
va_Mod_mem_heaplet 2; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Loop6x_loop_decrypt_body0 va_old alg va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b
va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur va_s0 va_k =
let (va_sM, va_f0, ctr, iter, y_cur) = va_lemma_Loop6x_loop_decrypt_body0
(va_code_Loop6x_loop_decrypt_body0 alg) va_s0 va_old alg va_in_ctr_BE_orig va_in_h_LE
va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b
va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter
va_in_y_cur in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM
(va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM
(va_update_xmm 2 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM
(va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 1 va_sM
(va_update_xmm 0 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRdi va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM
(va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_ok va_sM (va_update_mem
va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2
va_sM (va_update_flags va_sM va_s0)))))))))))))))))))))))))))))));
va_lemma_norm_mods ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags]) va_sM va_s0;
let va_g = (ctr, iter, y_cur) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Loop6x_loop_decrypt_body0 (va_old:va_state) (alg:algorithm) (va_in_ctr_BE_orig:quad32)
(va_in_h_LE:quad32) (va_in_hkeys_b:buffer128) (va_in_in0_b:buffer128) (va_in_in_b:buffer128)
(va_in_iv_b:buffer128) (va_in_key_words:(seq nat32)) (va_in_keys_b:buffer128)
(va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32)) (va_in_round_keys:(seq quad32))
(va_in_scratch_b:buffer128) (va_in_y_orig:quad32) (va_in_ctr:quad32) (va_in_iter:nat)
(va_in_y_cur:quad32) : (va_quickCode (quad32 & nat & quad32) (va_code_Loop6x_loop_decrypt_body0
alg)) =
(va_QProc (va_code_Loop6x_loop_decrypt_body0 alg) ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7;
va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm
14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0;
va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem;
va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags])
(va_wp_Loop6x_loop_decrypt_body0 va_old alg va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b
va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur)
(va_wpProof_Loop6x_loop_decrypt_body0 va_old alg va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b
va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur))
#pop-options
//--
//-- Loop6x_loop_decrypt_while0
#push-options "--z3rlimit 700"
val va_code_Loop6x_loop_decrypt_while0 : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Loop6x_loop_decrypt_while0 alg =
(va_Block (va_CCons (va_While (va_cmp_gt (va_op_cmp_reg64 rRdx) (va_const_cmp 0)) (va_Block
(va_CCons (va_code_Loop6x_loop_decrypt_body0 alg) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Loop6x_loop_decrypt_while0 : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Loop6x_loop_decrypt_while0 alg =
(va_pbool_and (va_codegen_success_Loop6x_loop_decrypt_body0 alg) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Loop6x_loop_decrypt_while0 (va_mods:va_mods_t) (va_old:va_state) (alg:algorithm)
(va_in_ctr_BE_orig:quad32) (va_in_h_LE:quad32) (va_in_hkeys_b:buffer128) (va_in_in0_b:buffer128)
(va_in_in_b:buffer128) (va_in_iv_b:buffer128) (va_in_key_words:(seq nat32))
(va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32))
(va_in_round_keys:(seq quad32)) (va_in_scratch_b:buffer128) (va_in_y_orig:quad32)
(va_in_ctr:quad32) (va_in_iter:nat) (va_in_y_cur:quad32) : (va_quickCode (quad32 & nat & quad32)
(va_code_Loop6x_loop_decrypt_while0 alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(ctr_BE_orig:quad32) = va_in_ctr_BE_orig in let (h_LE:quad32) = va_in_h_LE in let
(hkeys_b:buffer128) = va_in_hkeys_b in let (in0_b:buffer128) = va_in_in0_b in let
(in_b:buffer128) = va_in_in_b in let (iv_b:buffer128) = va_in_iv_b in let (key_words:(seq
nat32)) = va_in_key_words in let (keys_b:buffer128) = va_in_keys_b in let (out_b:buffer128) =
va_in_out_b in let (plain_quads:(seq quad32)) = va_in_plain_quads in let (round_keys:(seq
quad32)) = va_in_round_keys in let (scratch_b:buffer128) = va_in_scratch_b in let
(y_orig:quad32) = va_in_y_orig in let (ctr:quad32) = va_in_ctr in let (iter:nat) = va_in_iter
in let (y_cur:quad32) = va_in_y_cur in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 521 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_qWhile va_mods (Cmp_gt (va_op_cmp_reg64 rRdx) (va_const_cmp 0)) (fun va_g -> let
(ctr:quad32) = let (ctr, iter, y_cur) = va_g in ctr in let (iter:nat) = let (ctr, iter, y_cur)
= va_g in iter in let (y_cur:quad32) = let (ctr, iter, y_cur) = va_g in y_cur in qblock va_mods
(fun (va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 521 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x_loop_decrypt_body0 va_old alg ctr_BE_orig h_LE hkeys_b in0_b in_b iv_b
key_words keys_b out_b plain_quads round_keys scratch_b y_orig ctr iter y_cur) (fun
(va_s:va_state) va_g -> let (ctr, iter, y_cur) = va_g in va_QEmpty ((ctr, iter, y_cur))))) (fun
(va_s:va_state) va_g -> let (ctr:quad32) = let (ctr, iter, y_cur) = va_g in ctr in let
(iter:nat) = let (ctr, iter, y_cur) = va_g in iter in let (y_cur:quad32) = let (ctr, iter,
y_cur) = va_g in y_cur in va_get_ok va_s /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx
va_s == va_get_reg64 rRdx va_old - 6 `op_Multiply` iter /\ va_get_reg64 rRdi va_s ==
va_get_reg64 rRdi va_old + 96 `op_Multiply` iter /\ va_get_reg64 rRsi va_s == va_get_reg64 rRsi
va_old + 96 `op_Multiply` iter /\ va_get_xmm 2 va_s == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2
va_s) (va_get_reg64 rR8 va_s) iv_b 1 (va_get_mem_layout va_s) Public /\ (va_get_reg64 rRdx va_s
> 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s) (va_get_reg64 rR14
va_s) in0_b ((iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` (iter +
1)) (va_get_mem_layout va_s) Secret) /\ (va_get_reg64 rRdx va_s == 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s) (va_get_reg64 rR14 va_s)
in0_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_s) Secret) /\ (va_get_reg64 rRdx va_s > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s) (va_get_reg64 rRdi va_s) in_b
(iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter) (va_get_mem_layout
va_s) Secret) /\ (va_get_reg64 rRdx va_s > 0 ==> Vale.X64.Decls.validDstAddrsOffset128
(va_get_mem_heaplet 6 va_s) (va_get_reg64 rRsi va_s) out_b (iter `op_Multiply` 6) (va_get_reg64
rRdx va_old - 6 `op_Multiply` iter) (va_get_mem_layout va_s) Secret) /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s) (va_get_reg64 rRbp va_s) scratch_b
9 (va_get_mem_layout va_s) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0
va_s) (va_get_reg64 rR9 va_s - 32) hkeys_b 8 (va_get_mem_layout va_s) Secret /\
(Vale.X64.Decls.buffers_disjoint128 in_b out_b \/ in_b == out_b) /\ in0_b == in_b /\
FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old)
in_b) >= 6 /\ (va_get_reg64 rRdx va_s > 0 ==> Vale.AES.GCTR.partial_seq_agreement plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in_b) (6 `op_Multiply` iter)
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) in_b))) /\ (va_get_reg64 rRdx va_s > 0 ==> va_get_reg64 rRdi va_s + 16 `op_Multiply`
va_get_reg64 rRdx va_s < pow2_64) /\ (va_get_reg64 rRdx va_s > 0 ==> va_get_reg64 rR14 va_s +
16 `op_Multiply` (va_get_reg64 rRdx va_s - 6) < pow2_64) /\ (va_get_reg64 rRdx va_s > 0 ==>
va_get_reg64 rRsi va_s + 16 `op_Multiply` va_get_reg64 rRdx va_s < pow2_64) /\
Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_old)
(va_get_mem_heaplet 3 va_s) 1 8 /\ Vale.X64.Decls.modifies_buffer_specific128 out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_s) 0 (iter `op_Multiply` 6 + 5) /\
(va_get_reg64 rRdx va_s == 0 ==> va_get_reg64 rRdx va_old >= 6 /\
Vale.X64.Decls.buffer_modifies_specific128 out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s) 0 (va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_s) 0 0 /\ aes_reqs_offset alg key_words round_keys keys_b
(va_get_reg64 rRcx va_s) (va_get_mem_heaplet 0 va_s) (va_get_mem_layout va_s) /\ va_get_xmm 15
va_s == FStar.Seq.Base.index #quad32 round_keys 0 /\ pclmulqdq_enabled /\ h_LE ==
Vale.AES.AES_s.aes_encrypt_LE alg key_words (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s)
hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ (va_get_reg64 rRdx va_s > 0 ==>
scratch_reqs scratch_b iter (va_get_mem_heaplet 3 va_s) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) in0_b) (va_get_xmm 7 va_s)) /\ (iter `op_Multiply` 6 <=
FStar.Seq.Base.length #quad32 plain_quads ==> y_cur == Vale.AES.GHash.ghash_incremental0 h_LE
y_orig (FStar.Seq.Base.slice #quad32 plain_quads 0 (iter `op_Multiply` 6))) /\ (va_get_reg64
rRdx va_s > 0 ==> y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_s)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_s)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read scratch_b 1
(va_get_mem_heaplet 3 va_s)))))) /\ (va_get_reg64 rRdx va_s == 0 ==> va_get_xmm 8 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ va_get_reg64 rRdx va_s `op_Modulus` 6 == 0 /\
va_get_reg64 rRdx va_s < pow2_32 /\ (6 <= va_get_reg64 rRdx va_old /\ va_get_reg64 rRdx va_old
+ 6 < pow2_32) /\ iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64 rRdx va_s > 0 ==>
va_get_reg64 rRdx va_s >= 6) /\ ctr == Vale.AES.GCTR.inc32lite ctr_BE_orig (iter `op_Multiply`
6) /\ va_get_xmm 2 va_s == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
va_get_xmm 1 va_s == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\
va_get_reg64 rRbx va_s == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256 /\
(va_get_reg64 rRdx va_s > 0 ==> va_get_xmm 9 va_s == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_s))
/\ (va_get_reg64 rRdx va_s > 0 ==> (va_get_reg64 rRbx va_s + 6 < 256 ==> va_get_xmm 10 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ (va_get_reg64 rRdx
va_s > 0 ==> (va_get_reg64 rRbx va_s + 6 < 256 ==> va_get_xmm 11 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ (va_get_reg64 rRdx
va_s > 0 ==> (va_get_reg64 rRbx va_s + 6 < 256 ==> va_get_xmm 12 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ (va_get_reg64 rRdx
va_s > 0 ==> (va_get_reg64 rRbx va_s + 6 < 256 ==> va_get_xmm 13 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ (va_get_reg64 rRdx
va_s > 0 ==> (va_get_reg64 rRbx va_s + 6 < 256 ==> va_get_xmm 14 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ (va_get_reg64 rRdx
va_s == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s) (va_get_xmm 10 va_s) (va_get_xmm
11 va_s) (va_get_xmm 12 va_s) (va_get_xmm 13 va_s) (va_get_xmm 14 va_s) plain_quads alg
key_words ctr_BE_orig (iter - 1)) /\ (va_get_reg64 rRdx va_s > 0 ==> Vale.AES.GCTR.gctr_partial
alg (6 `op_Multiply` iter) plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b)
key_words ctr_BE_orig) /\ (va_get_reg64 rRdx va_s == 0 ==> Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (iter - 1)) plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b)
key_words ctr_BE_orig)) (fun (va_s:va_state) va_g -> let (ctr:quad32) = let (ctr, iter, y_cur)
= va_g in ctr in let (iter:nat) = let (ctr, iter, y_cur) = va_g in iter in let (y_cur:quad32) =
let (ctr, iter, y_cur) = va_g in y_cur in va_get_reg64 rRdx va_s) ((ctr, iter, y_cur))) (fun
(va_s:va_state) va_g -> let (ctr:quad32) = let (ctr, iter, y_cur) = va_g in ctr in let
(iter:nat) = let (ctr, iter, y_cur) = va_g in iter in let (y_cur:quad32) = let (ctr, iter,
y_cur) = va_g in y_cur in let va_g = (ctr, iter, y_cur) in let ((ctr:quad32), (iter:nat),
(y_cur:quad32)) = va_g in va_QEmpty ((ctr, iter, y_cur)))))
val va_lemma_Loop6x_loop_decrypt_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
alg:algorithm -> va_in_ctr_BE_orig:quad32 -> va_in_h_LE:quad32 -> va_in_hkeys_b:buffer128 ->
va_in_in0_b:buffer128 -> va_in_in_b:buffer128 -> va_in_iv_b:buffer128 -> va_in_key_words:(seq
nat32) -> va_in_keys_b:buffer128 -> va_in_out_b:buffer128 -> va_in_plain_quads:(seq quad32) ->
va_in_round_keys:(seq quad32) -> va_in_scratch_b:buffer128 -> va_in_y_orig:quad32 ->
va_in_ctr:quad32 -> va_in_iter:nat -> va_in_y_cur:quad32
-> Ghost (va_state & va_fuel & quad32 & nat & quad32)
(requires (va_require_total va_b0 (va_code_Loop6x_loop_decrypt_while0 alg) va_s0 /\ va_get_ok
va_s0 /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_s0 == va_get_reg64 rRdx va_old
- 6 `op_Multiply` va_in_iter /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old + 96
`op_Multiply` va_in_iter /\ va_get_reg64 rRsi va_s0 == va_get_reg64 rRsi va_old + 96
`op_Multiply` va_in_iter /\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2
va_s0) (va_get_reg64 rR8 va_s0) va_in_iv_b 1 (va_get_mem_layout va_s0) Public /\ (va_get_reg64
rRdx va_s0 > 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b ((va_in_iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx
va_old - 6 `op_Multiply` (va_in_iter + 1)) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64
rRdx va_s0 == 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` va_in_iter) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0
==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi
va_s0) va_in_in_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply`
va_in_iter) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
va_in_out_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply`
va_in_iter) (va_get_mem_layout va_s0) Secret) /\ Vale.X64.Decls.validDstAddrs128
(va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0) va_in_scratch_b 9 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9
va_s0 - 32) va_in_hkeys_b 8 (va_get_mem_layout va_s0) Secret /\
(Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\
va_in_in0_b == va_in_in_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_s0) va_in_in_b) (6 `op_Multiply` va_in_iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_s0 >
0 ==> va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\
(va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rR14 va_s0 + 16 `op_Multiply` (va_get_reg64 rRdx
va_s0 - 6) < pow2_64) /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128
va_in_scratch_b (va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_s0) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) 0 (va_in_iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_s0 ==
0 ==> va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_s0) 0 (va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_s0) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0)
/\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_s0) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ (va_get_reg64 rRdx va_s0 > 0 ==> scratch_reqs va_in_scratch_b va_in_iter (va_get_mem_heaplet
3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in0_b) (va_get_xmm 7 va_s0))
/\ (va_in_iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==>
va_in_y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice
#quad32 va_in_plain_quads 0 (va_in_iter `op_Multiply` 6))) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
va_in_y_cur == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add
(add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s0))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
va_in_scratch_b 1 (va_get_mem_heaplet 3 va_s0)))))) /\ (va_get_reg64 rRdx va_s0 == 0 ==>
va_get_xmm 8 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 va_in_y_cur) /\ va_get_reg64 rRdx
va_s0 `op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ (6 <= va_get_reg64 rRdx
va_old /\ va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_iter `op_Multiply` 6 + 6 < pow2_32
/\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRdx va_s0 >= 6) /\ va_in_ctr ==
Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (va_in_iter `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 0) /\ va_get_reg64
rRbx va_s0 == va_in_ctr.lo0 `op_Modulus` 256 /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite va_in_ctr 0)) (va_get_xmm 15 va_s0)) /\ (va_get_reg64 rRdx va_s0 > 0
==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 10 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 1))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 2))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 3))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 4))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 5))) /\ (va_get_reg64
rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s0) (va_get_xmm 10 va_s0)
(va_get_xmm 11 va_s0) (va_get_xmm 12 va_s0) (va_get_xmm 13 va_s0) (va_get_xmm 14 va_s0)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_iter - 1)) /\ (va_get_reg64 rRdx
va_s0 > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_iter) va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_out_b) va_in_key_words
va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (va_in_iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_s0) va_in_out_b) va_in_key_words va_in_ctr_BE_orig)))
(ensures (fun (va_sM, va_fM, ctr, iter, y_cur) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_sM == va_get_reg64
rRdx va_old - 6 `op_Multiply` iter /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96
`op_Multiply` iter /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply`
iter /\ va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public /\ (va_get_reg64 rRdx va_sM > 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b ((iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` (iter +
1)) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM == 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRdi va_sM)
va_in_in_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRsi va_sM)
va_in_out_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3
va_sM) (va_get_reg64 rRbp va_sM) va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret /\
Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32)
va_in_hkeys_b 8 (va_get_mem_layout va_sM) Secret /\ (Vale.X64.Decls.buffers_disjoint128
va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ va_in_in0_b == va_in_in_b /\
FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old)
va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.partial_seq_agreement
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in_b) (6
`op_Multiply` iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64
rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64 rRdx va_sM >
0 ==> va_get_reg64 rR14 va_sM + 16 `op_Multiply` (va_get_reg64 rRdx va_sM - 6) < pow2_64) /\
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b
(va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_sM) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) 0 (iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_sM == 0 ==>
va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) 0 (va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)
/\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_sM) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ (va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b iter (va_get_mem_heaplet 3
va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\
(iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==> y_cur ==
Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice #quad32
va_in_plain_quads 0 (iter `op_Multiply` 6))) /\ (va_get_reg64 rRdx va_sM > 0 ==> y_cur ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_sM))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
va_in_scratch_b 1 (va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==>
va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ va_get_reg64 rRdx va_sM
`op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_sM < pow2_32 /\ (6 <= va_get_reg64 rRdx va_old /\
va_get_reg64 rRdx va_old + 6 < pow2_32) /\ iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_reg64 rRdx va_sM >= 6) /\ ctr == Vale.AES.GCTR.inc32lite
va_in_ctr_BE_orig (iter `op_Multiply` 6) /\ va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\ va_get_reg64 rRbx
va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256 /\ (va_get_reg64 rRdx
va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ (va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM
== Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ (va_get_reg64
rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ (va_get_reg64 rRdx
va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm 10 va_sM)
(va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14 va_sM)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (iter - 1)) /\ (va_get_reg64 rRdx va_sM
> 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` iter) va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b) va_in_key_words
va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ ~(va_get_reg64 rRdx va_sM > 0) /\
va_state_eq va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM
(va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM
(va_update_xmm 2 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM
(va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 1 va_sM
(va_update_xmm 0 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRdi va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM
(va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_ok va_sM (va_update_mem
va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2
va_sM (va_update_flags va_sM va_s0))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Loop6x_loop_decrypt_while0 va_b0 va_s0 va_old alg va_in_ctr_BE_orig va_in_h_LE
va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b
va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags] in
let va_qc = va_qcode_Loop6x_loop_decrypt_while0 va_mods va_old alg va_in_ctr_BE_orig va_in_h_LE
va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b
va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter
va_in_y_cur in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Loop6x_loop_decrypt_while0 alg) va_qc
va_s0 (fun va_s0 va_sM va_g -> let (ctr, iter, y_cur) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 521 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 653 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(sse_enabled /\ movbe_enabled) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 655 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_old - 6 `op_Multiply` iter) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 658 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96 `op_Multiply` iter) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 659 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 661 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 664 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 666 column 121 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rR14 va_sM) va_in_in0_b ((iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx
va_old - 6 `op_Multiply` (iter + 1)) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 669 column 114 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rR14 va_sM) va_in_in0_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` iter) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 671 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rRdi va_sM) va_in_in_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` iter) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 672 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rRsi va_sM) va_in_out_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` iter) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 674 column 74 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_sM) (va_get_reg64 rRbp va_sM)
va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 675 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32)
va_in_hkeys_b 8 (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 676 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 677 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_in0_b == va_in_in_b) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 679 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) va_in_in_b) >= 6) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 680 column 118 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in_b) (6 `op_Multiply` iter)
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) va_in_in_b))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 681 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 682 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rR14 va_sM + 16 `op_Multiply` (va_get_reg64 rRdx
va_sM - 6) < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 683 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 685 column 76 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b (va_get_mem_heaplet 3 va_old)
(va_get_mem_heaplet 3 va_sM) 1 8) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 686 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) 0 (iter `op_Multiply` 6 + 5)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 687 column 117 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_reg64 rRdx va_old >= 6 /\
Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) 0 (va_get_reg64 rRdx va_old - 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 688 column 74 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 691 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(aes_reqs_offset alg va_in_key_words va_in_round_keys va_in_keys_b (va_get_reg64 rRcx va_sM)
(va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 692 column 43 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 695 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
pclmulqdq_enabled /\ label va_range1
"***** POSTCONDITION NOT MET AT line 696 column 71 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 697 column 78 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_sM)
va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 698 column 85 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b iter (va_get_mem_heaplet 3 va_sM)
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 699 column 123 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==> y_cur ==
Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice #quad32
va_in_plain_quads 0 (iter `op_Multiply` 6))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 701 column 107 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_sM)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_sM)))))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 702 column 59 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
y_cur) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 705 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM `op_Modulus` 6 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 706 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 707 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(6 <= va_get_reg64 rRdx va_old /\ va_get_reg64 rRdx va_old + 6 < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 708 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(iter `op_Multiply` 6 + 6 < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 709 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdx va_sM >= 6) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 710 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (iter `op_Multiply` 6)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 711 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 712 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 713 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 715 column 94 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 717 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 718 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 719 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 720 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 721 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 724 column 90 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm
10 va_sM) (va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14
va_sM) va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (iter - 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 727 column 107 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` iter)
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 728 column 118 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` (iter - 1))
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 521 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(~(va_get_reg64 rRdx va_sM > 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags]) va_sM va_s0;
let (ctr, iter, y_cur) = va_g in
(va_sM, va_fM, ctr, iter, y_cur)
[@ va_qattr]
let va_wp_Loop6x_loop_decrypt_while0 (va_old:va_state) (alg:algorithm) (va_in_ctr_BE_orig:quad32)
(va_in_h_LE:quad32) (va_in_hkeys_b:buffer128) (va_in_in0_b:buffer128) (va_in_in_b:buffer128)
(va_in_iv_b:buffer128) (va_in_key_words:(seq nat32)) (va_in_keys_b:buffer128)
(va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32)) (va_in_round_keys:(seq quad32))
(va_in_scratch_b:buffer128) (va_in_y_orig:quad32) (va_in_ctr:quad32) (va_in_iter:nat)
(va_in_y_cur:quad32) (va_s0:va_state) (va_k:(va_state -> (quad32 & nat & quad32) -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_s0 == va_get_reg64
rRdx va_old - 6 `op_Multiply` va_in_iter /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old
+ 96 `op_Multiply` va_in_iter /\ va_get_reg64 rRsi va_s0 == va_get_reg64 rRsi va_old + 96
`op_Multiply` va_in_iter /\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2
va_s0) (va_get_reg64 rR8 va_s0) va_in_iv_b 1 (va_get_mem_layout va_s0) Public /\ (va_get_reg64
rRdx va_s0 > 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b ((va_in_iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx
va_old - 6 `op_Multiply` (va_in_iter + 1)) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64
rRdx va_s0 == 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` va_in_iter) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0
==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi
va_s0) va_in_in_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply`
va_in_iter) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
va_in_out_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply`
va_in_iter) (va_get_mem_layout va_s0) Secret) /\ Vale.X64.Decls.validDstAddrs128
(va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0) va_in_scratch_b 9 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9
va_s0 - 32) va_in_hkeys_b 8 (va_get_mem_layout va_s0) Secret /\
(Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\
va_in_in0_b == va_in_in_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_s0) va_in_in_b) (6 `op_Multiply` va_in_iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_s0 >
0 ==> va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\
(va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rR14 va_s0 + 16 `op_Multiply` (va_get_reg64 rRdx
va_s0 - 6) < pow2_64) /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128
va_in_scratch_b (va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_s0) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) 0 (va_in_iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_s0 ==
0 ==> va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_s0) 0 (va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_s0) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0)
/\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_s0) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ (va_get_reg64 rRdx va_s0 > 0 ==> scratch_reqs va_in_scratch_b va_in_iter (va_get_mem_heaplet
3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in0_b) (va_get_xmm 7 va_s0))
/\ (va_in_iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==>
va_in_y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice
#quad32 va_in_plain_quads 0 (va_in_iter `op_Multiply` 6))) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
va_in_y_cur == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add
(add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s0))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
va_in_scratch_b 1 (va_get_mem_heaplet 3 va_s0)))))) /\ (va_get_reg64 rRdx va_s0 == 0 ==>
va_get_xmm 8 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 va_in_y_cur) /\ va_get_reg64 rRdx
va_s0 `op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ (6 <= va_get_reg64 rRdx
va_old /\ va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_iter `op_Multiply` 6 + 6 < pow2_32
/\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRdx va_s0 >= 6) /\ va_in_ctr ==
Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (va_in_iter `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 0) /\ va_get_reg64
rRbx va_s0 == va_in_ctr.lo0 `op_Modulus` 256 /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite va_in_ctr 0)) (va_get_xmm 15 va_s0)) /\ (va_get_reg64 rRdx va_s0 > 0
==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 10 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 1))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 2))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 3))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 4))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 5))) /\ (va_get_reg64
rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s0) (va_get_xmm 10 va_s0)
(va_get_xmm 11 va_s0) (va_get_xmm 12 va_s0) (va_get_xmm 13 va_s0) (va_get_xmm 14 va_s0)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_iter - 1)) /\ (va_get_reg64 rRdx
va_s0 > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_iter) va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_out_b) va_in_key_words
va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (va_in_iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_s0) va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ (forall (va_x_efl:Vale.X64.Flags.t)
(va_x_heap2:vale_heap) (va_x_heap3:vale_heap) (va_x_heap6:vale_heap) (va_x_mem:vale_heap)
(va_x_ok:bool) (va_x_r11:nat64) (va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64)
(va_x_rbx:nat64) (va_x_rdi:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (va_x_xmm0:quad32)
(va_x_xmm1:quad32) (va_x_xmm10:quad32) (va_x_xmm11:quad32) (va_x_xmm12:quad32)
(va_x_xmm13:quad32) (va_x_xmm14:quad32) (va_x_xmm15:quad32) (va_x_xmm2:quad32)
(va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32) (va_x_xmm7:quad32)
(va_x_xmm8:quad32) (va_x_xmm9:quad32) (ctr:quad32) (iter:nat) (y_cur:quad32) . let va_sM =
va_upd_xmm 9 va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6 va_x_xmm6
(va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2
(va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13 va_x_xmm13 (va_upd_xmm 12
va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 1 va_x_xmm1
(va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRdi va_x_rdi (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13
va_x_r13 (va_upd_reg64 rR12 va_x_r12 (va_upd_reg64 rR11 va_x_r11 (va_upd_ok va_x_ok (va_upd_mem
va_x_mem (va_upd_mem_heaplet 6 va_x_heap6 (va_upd_mem_heaplet 3 va_x_heap3 (va_upd_mem_heaplet
2 va_x_heap2 (va_upd_flags va_x_efl va_s0))))))))))))))))))))))))))))) in va_get_ok va_sM /\
(sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_old - 6
`op_Multiply` iter /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96 `op_Multiply`
iter /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter /\
va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public /\ (va_get_reg64 rRdx va_sM > 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b ((iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` (iter +
1)) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM == 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRdi va_sM)
va_in_in_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRsi va_sM)
va_in_out_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3
va_sM) (va_get_reg64 rRbp va_sM) va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret /\
Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32)
va_in_hkeys_b 8 (va_get_mem_layout va_sM) Secret /\ (Vale.X64.Decls.buffers_disjoint128
va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ va_in_in0_b == va_in_in_b /\
FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old)
va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.partial_seq_agreement
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in_b) (6
`op_Multiply` iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64
rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64 rRdx va_sM >
0 ==> va_get_reg64 rR14 va_sM + 16 `op_Multiply` (va_get_reg64 rRdx va_sM - 6) < pow2_64) /\
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b
(va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_sM) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) 0 (iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_sM == 0 ==>
va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) 0 (va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)
/\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_sM) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ (va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b iter (va_get_mem_heaplet 3
va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\
(iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==> y_cur ==
Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice #quad32
va_in_plain_quads 0 (iter `op_Multiply` 6))) /\ (va_get_reg64 rRdx va_sM > 0 ==> y_cur ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_sM))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
va_in_scratch_b 1 (va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==>
va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ va_get_reg64 rRdx va_sM
`op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_sM < pow2_32 /\ (6 <= va_get_reg64 rRdx va_old /\
va_get_reg64 rRdx va_old + 6 < pow2_32) /\ iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_reg64 rRdx va_sM >= 6) /\ ctr == Vale.AES.GCTR.inc32lite
va_in_ctr_BE_orig (iter `op_Multiply` 6) /\ va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\ va_get_reg64 rRbx
va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256 /\ (va_get_reg64 rRdx
va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ (va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM
== Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ (va_get_reg64
rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ (va_get_reg64 rRdx
va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm 10 va_sM)
(va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14 va_sM)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (iter - 1)) /\ (va_get_reg64 rRdx va_sM
> 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` iter) va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b) va_in_key_words
va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ ~(va_get_reg64 rRdx va_sM > 0) ==> va_k
va_sM ((ctr, iter, y_cur))))
val va_wpProof_Loop6x_loop_decrypt_while0 : va_old:va_state -> alg:algorithm ->
va_in_ctr_BE_orig:quad32 -> va_in_h_LE:quad32 -> va_in_hkeys_b:buffer128 -> va_in_in0_b:buffer128
-> va_in_in_b:buffer128 -> va_in_iv_b:buffer128 -> va_in_key_words:(seq nat32) ->
va_in_keys_b:buffer128 -> va_in_out_b:buffer128 -> va_in_plain_quads:(seq quad32) ->
va_in_round_keys:(seq quad32) -> va_in_scratch_b:buffer128 -> va_in_y_orig:quad32 ->
va_in_ctr:quad32 -> va_in_iter:nat -> va_in_y_cur:quad32 -> va_s0:va_state -> va_k:(va_state ->
(quad32 & nat & quad32) -> Type0)
-> Ghost (va_state & va_fuel & (quad32 & nat & quad32))
(requires (va_t_require va_s0 /\ va_wp_Loop6x_loop_decrypt_while0 va_old alg va_in_ctr_BE_orig
va_in_h_LE va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b
va_in_out_b va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr
va_in_iter va_in_y_cur va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Loop6x_loop_decrypt_while0 alg)
([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4;
va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12;
va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx;
va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 3;
va_Mod_mem_heaplet 2; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Loop6x_loop_decrypt_while0 va_old alg va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b
va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur va_s0 va_k =
let (va_sM, va_f0, ctr, iter, y_cur) = va_lemma_Loop6x_loop_decrypt_while0
(va_code_Loop6x_loop_decrypt_while0 alg) va_s0 va_old alg va_in_ctr_BE_orig va_in_h_LE
va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b
va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter
va_in_y_cur in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM
(va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM
(va_update_xmm 2 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM
(va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 1 va_sM
(va_update_xmm 0 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRdi va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM
(va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_ok va_sM (va_update_mem
va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2
va_sM (va_update_flags va_sM va_s0)))))))))))))))))))))))))))))));
va_lemma_norm_mods ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags]) va_sM va_s0;
let va_g = (ctr, iter, y_cur) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Loop6x_loop_decrypt_while0 (va_old:va_state) (alg:algorithm)
(va_in_ctr_BE_orig:quad32) (va_in_h_LE:quad32) (va_in_hkeys_b:buffer128) (va_in_in0_b:buffer128)
(va_in_in_b:buffer128) (va_in_iv_b:buffer128) (va_in_key_words:(seq nat32))
(va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32))
(va_in_round_keys:(seq quad32)) (va_in_scratch_b:buffer128) (va_in_y_orig:quad32)
(va_in_ctr:quad32) (va_in_iter:nat) (va_in_y_cur:quad32) : (va_quickCode (quad32 & nat & quad32)
(va_code_Loop6x_loop_decrypt_while0 alg)) =
(va_QProc (va_code_Loop6x_loop_decrypt_while0 alg) ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7;
va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm
14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0;
va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem;
va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags])
(va_wp_Loop6x_loop_decrypt_while0 va_old alg va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b
va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur)
(va_wpProof_Loop6x_loop_decrypt_while0 va_old alg va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b
va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur))
#pop-options
//--
//-- Loop6x_loop_decrypt
#push-options "--z3rlimit 700"
val va_code_Loop6x_loop_decrypt : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Loop6x_loop_decrypt alg =
(va_Block (va_CCons (va_IfElse (va_cmp_eq (va_op_cmp_reg64 rRdx) (va_const_cmp 6)) (va_Block
(va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR14) (va_const_opr64 96)) (va_CNil ())))
(va_Block (va_CNil ()))) (va_CCons (va_code_Loop6x_loop_decrypt_while0 alg) (va_CNil ()))))
val va_codegen_success_Loop6x_loop_decrypt : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Loop6x_loop_decrypt alg =
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR14) (va_const_opr64 96))
(va_pbool_and (va_codegen_success_Loop6x_loop_decrypt_while0 alg) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Loop6x_loop_decrypt (va_mods:va_mods_t) (alg:algorithm) (h_LE:quad32) (y_orig:quad32)
(y_prev:quad32) (iv_b:buffer128) (in0_b:buffer128) (in_b:buffer128) (out_b:buffer128)
(scratch_b:buffer128) (key_words:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128)
(hkeys_b:buffer128) (ctr_BE_orig:quad32) (ctr_BE:quad32) : (va_quickCode (quad32)
(va_code_Loop6x_loop_decrypt alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (iter:nat) = 0 in
let (ctr:quad32) = ctr_BE in let (y_cur:quad32) = y_prev in let (plain_quads:(seq quad32)) =
Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in_b in let (va_arg44:Vale.Def.Types_s.quad32)
= ctr_BE_orig in let (va_arg43:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = key_words in let
(va_arg42:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) out_b in let (va_arg41:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = plain_quads in let (va_arg40:Vale.AES.AES_common_s.algorithm) = alg
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 645 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_partial_opaque_init va_arg40 va_arg41 va_arg42 va_arg43
va_arg44) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 648 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_qIf va_mods (Cmp_eq (va_op_cmp_reg64 rRdx) (va_const_cmp 6)) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 649 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rR14) (va_const_opr64 96)) (va_QEmpty (())))) (qblock
va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 651 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x_loop_decrypt_while0 va_old_s alg ctr_BE_orig h_LE hkeys_b in0_b in_b iv_b
key_words keys_b out_b plain_quads round_keys scratch_b y_orig ctr iter y_cur) (fun
(va_s:va_state) va_g -> let (ctr, iter, y_cur) = va_g in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 738 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_registers_reveal ()) (let (y_new:quad32) = y_cur in
va_QEmpty ((y_new))))))))
val va_lemma_Loop6x_loop_decrypt : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> h_LE:quad32
-> y_orig:quad32 -> y_prev:quad32 -> iv_b:buffer128 -> in0_b:buffer128 -> in_b:buffer128 ->
out_b:buffer128 -> scratch_b:buffer128 -> key_words:(seq nat32) -> round_keys:(seq quad32) ->
keys_b:buffer128 -> hkeys_b:buffer128 -> ctr_BE_orig:quad32 -> ctr_BE:quad32
-> Ghost (va_state & va_fuel & quad32)
(requires (va_require_total va_b0 (va_code_Loop6x_loop_decrypt alg) va_s0 /\ va_get_ok va_s0 /\
(sse_enabled /\ movbe_enabled /\ (6 <= va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRdx va_s0 + 6 <
pow2_32) /\ va_get_reg64 rRdx va_s0 `op_Modulus` 6 == 0 /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_s0) (va_get_reg64 rR8 va_s0) iv_b 1
(va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_s0) (va_get_reg64 rR14 va_s0) in0_b 6 (va_get_reg64 rRdx va_s0 - 6) (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rRdi va_s0) in_b 0 (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
out_b 0 (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0)
Secret /\ (Vale.X64.Decls.buffers_disjoint128 in_b out_b \/ in_b == out_b) /\ in0_b == in_b /\
va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64
rR14 va_s0 + 16 `op_Multiply` (va_get_reg64 rRdx va_s0 - 6) < pow2_64 /\ va_get_reg64 rRsi
va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ aes_reqs_offset alg key_words
round_keys keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout
va_s0) /\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32 round_keys 0 /\ pclmulqdq_enabled
/\ h_LE == Vale.AES.AES_s.aes_encrypt_LE alg key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\
scratch_reqs scratch_b 0 (va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_s0) in0_b) (va_get_xmm 7 va_s0) /\ y_prev == y_orig /\ y_prev ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s0))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
scratch_b 1 (va_get_mem_heaplet 3 va_s0))))) /\ ctr_BE == Vale.AES.GCTR.inc32lite ctr_BE_orig 0
/\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
va_get_xmm 1 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 0)
/\ va_get_reg64 rRbx va_s0 == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_BE `op_Modulus`
256 /\ va_get_xmm 9 va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 0)) (va_get_xmm 15 va_s0) /\ (va_get_reg64 rRbx va_s0 + 6 < 256
==> va_get_xmm 10 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 1)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 2)) /\ (va_get_reg64 rRbx
va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 3)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13
va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 4)) /\
(va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 5)))))
(ensures (fun (va_sM, va_fM, y_new) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM
/\ (Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 8 /\ l_and (va_get_reg64 rRdx va_s0 - 1 > 0)
(Vale.X64.Decls.modifies_buffer_specific128 out_b (va_get_mem_heaplet 6 va_s0)
(va_get_mem_heaplet 6 va_sM) 0 (va_get_reg64 rRdx va_s0 - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 iv_b (va_get_mem_heaplet 2 va_s0)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 + 16
`op_Multiply` va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 +
16 `op_Multiply` va_get_reg64 rRdx va_s0 /\ l_and (va_get_reg64 rRdx va_s0 - 6 >= 0)
(Vale.AES.GCTR.gctr_partial alg (va_get_reg64 rRdx va_s0 - 6) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) in_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out_b)
key_words ctr_BE_orig) /\ va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 0) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6))) /\ va_get_xmm 10 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 1) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 1))) /\ va_get_xmm 11 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 2) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 2))) /\ va_get_xmm 12 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 3) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 3))) /\ va_get_xmm 13 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 4) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 4))) /\ va_get_xmm 14 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 5) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 5))) /\ y_new == Vale.AES.GHash.ghash_incremental0 h_LE y_orig
(FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0)
in_b) 0 (va_get_reg64 rRdx va_s0)) /\ va_get_xmm 8 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 y_new /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE (va_get_reg64 rRdx
va_s0))) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 3 va_sM
(va_update_mem_heaplet 2 va_sM (va_update_mem_heaplet 6 va_sM (va_update_xmm 15 va_sM
(va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM
(va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM
(va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM
(va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR14
va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRsi va_sM
(va_update_reg64 rRdi va_sM (va_update_ok va_sM (va_update_mem va_sM
va_s0))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Loop6x_loop_decrypt va_b0 va_s0 alg h_LE y_orig y_prev iv_b in0_b in_b out_b scratch_b
key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2;
va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm
11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14;
va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_Loop6x_loop_decrypt va_mods alg h_LE y_orig y_prev iv_b in0_b in_b out_b
scratch_b key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Loop6x_loop_decrypt alg) va_qc va_s0
(fun va_s0 va_sM va_g -> let y_new = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 521 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ (label va_range1
"***** POSTCONDITION NOT MET AT line 614 column 72 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 8) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 615 column 103 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(l_and (va_get_reg64 rRdx va_s0 - 1 > 0) (Vale.X64.Decls.modifies_buffer_specific128 out_b
(va_get_mem_heaplet 6 va_s0) (va_get_mem_heaplet 6 va_sM) 0 (va_get_reg64 rRdx va_s0 - 1))) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 616 column 67 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 iv_b (va_get_mem_heaplet 2 va_s0)
(va_get_mem_heaplet 2 va_sM) 0 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 621 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 622 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 625 column 135 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(l_and (va_get_reg64 rRdx va_s0 - 6 >= 0) (Vale.AES.GCTR.gctr_partial alg (va_get_reg64 rRdx
va_s0 - 6) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in_b) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) out_b) key_words ctr_BE_orig)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 627 column 149 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b
(va_get_reg64 rRdx va_s0 - 6 + 0) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (va_get_reg64 rRdx va_s0 - 6)))) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 628 column 153 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 10 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b
(va_get_reg64 rRdx va_s0 - 6 + 1) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (va_get_reg64 rRdx va_s0 - 6 + 1)))) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 629 column 153 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 11 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b
(va_get_reg64 rRdx va_s0 - 6 + 2) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (va_get_reg64 rRdx va_s0 - 6 + 2)))) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 630 column 153 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 12 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b
(va_get_reg64 rRdx va_s0 - 6 + 3) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (va_get_reg64 rRdx va_s0 - 6 + 3)))) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 631 column 153 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 13 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b
(va_get_reg64 rRdx va_s0 - 6 + 4) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (va_get_reg64 rRdx va_s0 - 6 + 4)))) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 632 column 153 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 14 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b
(va_get_reg64 rRdx va_s0 - 6 + 5) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (va_get_reg64 rRdx va_s0 - 6 + 5)))) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 635 column 89 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(y_new == Vale.AES.GHash.ghash_incremental0 h_LE y_orig (FStar.Seq.Base.slice
#Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in_b) 0 (va_get_reg64
rRdx va_s0))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 636 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_new) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 639 column 64 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE
(va_get_reg64 rRdx va_s0))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet
6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10;
va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm
3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_reg64
rRdi; va_Mod_ok; va_Mod_mem]) va_sM va_s0;
let y_new = va_g in
(va_sM, va_fM, y_new)
[@ va_qattr]
let va_wp_Loop6x_loop_decrypt (alg:algorithm) (h_LE:quad32) (y_orig:quad32) (y_prev:quad32)
(iv_b:buffer128) (in0_b:buffer128) (in_b:buffer128) (out_b:buffer128) (scratch_b:buffer128)
(key_words:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128)
(ctr_BE_orig:quad32) (ctr_BE:quad32) (va_s0:va_state) (va_k:(va_state -> quad32 -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ movbe_enabled /\ (6 <= va_get_reg64 rRdx va_s0 /\
va_get_reg64 rRdx va_s0 + 6 < pow2_32) /\ va_get_reg64 rRdx va_s0 `op_Modulus` 6 == 0 /\
va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_s0) (va_get_reg64 rR8 va_s0) iv_b 1
(va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_s0) (va_get_reg64 rR14 va_s0) in0_b 6 (va_get_reg64 rRdx va_s0 - 6) (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rRdi va_s0) in_b 0 (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
out_b 0 (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0)
Secret /\ (Vale.X64.Decls.buffers_disjoint128 in_b out_b \/ in_b == out_b) /\ in0_b == in_b /\
va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64
rR14 va_s0 + 16 `op_Multiply` (va_get_reg64 rRdx va_s0 - 6) < pow2_64 /\ va_get_reg64 rRsi
va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ aes_reqs_offset alg key_words
round_keys keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout
va_s0) /\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32 round_keys 0 /\ pclmulqdq_enabled
/\ h_LE == Vale.AES.AES_s.aes_encrypt_LE alg key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\
scratch_reqs scratch_b 0 (va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_s0) in0_b) (va_get_xmm 7 va_s0) /\ y_prev == y_orig /\ y_prev ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s0))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
scratch_b 1 (va_get_mem_heaplet 3 va_s0))))) /\ ctr_BE == Vale.AES.GCTR.inc32lite ctr_BE_orig 0
/\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
va_get_xmm 1 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 0)
/\ va_get_reg64 rRbx va_s0 == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_BE `op_Modulus`
256 /\ va_get_xmm 9 va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 0)) (va_get_xmm 15 va_s0) /\ (va_get_reg64 rRbx va_s0 + 6 < 256
==> va_get_xmm 10 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 1)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 2)) /\ (va_get_reg64 rRbx
va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 3)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13
va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 4)) /\
(va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 5))) /\ (forall
(va_x_mem:vale_heap) (va_x_rdi:nat64) (va_x_rsi:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64)
(va_x_r11:nat64) (va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_xmm0:quad32)
(va_x_xmm1:quad32) (va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32)
(va_x_xmm6:quad32) (va_x_xmm7:quad32) (va_x_xmm8:quad32) (va_x_xmm9:quad32) (va_x_xmm10:quad32)
(va_x_xmm11:quad32) (va_x_xmm12:quad32) (va_x_xmm13:quad32) (va_x_xmm14:quad32)
(va_x_xmm15:quad32) (va_x_heap6:vale_heap) (va_x_heap2:vale_heap) (va_x_heap3:vale_heap)
(va_x_efl:Vale.X64.Flags.t) (y_new:quad32) . let va_sM = va_upd_flags va_x_efl
(va_upd_mem_heaplet 3 va_x_heap3 (va_upd_mem_heaplet 2 va_x_heap2 (va_upd_mem_heaplet 6
va_x_heap6 (va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13 va_x_xmm13
(va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 9
va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5
va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 1
va_x_xmm1 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13
(va_upd_reg64 rR12 va_x_r12 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdi va_x_rdi (va_upd_mem
va_x_mem va_s0)))))))))))))))))))))))))))) in va_get_ok va_sM /\
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 8 /\ l_and (va_get_reg64 rRdx va_s0 - 1 > 0)
(Vale.X64.Decls.modifies_buffer_specific128 out_b (va_get_mem_heaplet 6 va_s0)
(va_get_mem_heaplet 6 va_sM) 0 (va_get_reg64 rRdx va_s0 - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 iv_b (va_get_mem_heaplet 2 va_s0)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 + 16
`op_Multiply` va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 +
16 `op_Multiply` va_get_reg64 rRdx va_s0 /\ l_and (va_get_reg64 rRdx va_s0 - 6 >= 0)
(Vale.AES.GCTR.gctr_partial alg (va_get_reg64 rRdx va_s0 - 6) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) in_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out_b)
key_words ctr_BE_orig) /\ va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 0) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6))) /\ va_get_xmm 10 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 1) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 1))) /\ va_get_xmm 11 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 2) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 2))) /\ va_get_xmm 12 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 3) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 3))) /\ va_get_xmm 13 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 4) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 4))) /\ va_get_xmm 14 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 5) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 5))) /\ y_new == Vale.AES.GHash.ghash_incremental0 h_LE y_orig
(FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0)
in_b) 0 (va_get_reg64 rRdx va_s0)) /\ va_get_xmm 8 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 y_new /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE (va_get_reg64 rRdx
va_s0))) ==> va_k va_sM ((y_new))))
val va_wpProof_Loop6x_loop_decrypt : alg:algorithm -> h_LE:quad32 -> y_orig:quad32 -> y_prev:quad32
-> iv_b:buffer128 -> in0_b:buffer128 -> in_b:buffer128 -> out_b:buffer128 -> scratch_b:buffer128
-> key_words:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 ->
ctr_BE_orig:quad32 -> ctr_BE:quad32 -> va_s0:va_state -> va_k:(va_state -> quad32 -> Type0)
-> Ghost (va_state & va_fuel & quad32)
(requires (va_t_require va_s0 /\ va_wp_Loop6x_loop_decrypt alg h_LE y_orig y_prev iv_b in0_b in_b
out_b scratch_b key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Loop6x_loop_decrypt alg)
([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 6; va_Mod_xmm
15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9;
va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm
2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi;
va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Loop6x_loop_decrypt alg h_LE y_orig y_prev iv_b in0_b in_b out_b scratch_b key_words
round_keys keys_b hkeys_b ctr_BE_orig ctr_BE va_s0 va_k =
let (va_sM, va_f0, y_new) = va_lemma_Loop6x_loop_decrypt (va_code_Loop6x_loop_decrypt alg) va_s0
alg h_LE y_orig y_prev iv_b in0_b in_b out_b scratch_b key_words round_keys keys_b hkeys_b
ctr_BE_orig ctr_BE in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 3 va_sM
(va_update_mem_heaplet 2 va_sM (va_update_mem_heaplet 6 va_sM (va_update_xmm 15 va_sM
(va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM
(va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM
(va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM
(va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR14
va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRsi va_sM
(va_update_reg64 rRdi va_sM (va_update_ok va_sM (va_update_mem va_sM
va_s0)))))))))))))))))))))))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet
6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10;
va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm
3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_reg64
rRdi; va_Mod_mem]) va_sM va_s0;
let va_g = (y_new) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Loop6x_loop_decrypt (alg:algorithm) (h_LE:quad32) (y_orig:quad32) (y_prev:quad32)
(iv_b:buffer128) (in0_b:buffer128) (in_b:buffer128) (out_b:buffer128) (scratch_b:buffer128)
(key_words:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128)
(ctr_BE_orig:quad32) (ctr_BE:quad32) : (va_quickCode quad32 (va_code_Loop6x_loop_decrypt alg)) =
(va_QProc (va_code_Loop6x_loop_decrypt alg) ([va_Mod_flags; va_Mod_mem_heaplet 3;
va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7;
va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm
0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64
rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_mem])
(va_wp_Loop6x_loop_decrypt alg h_LE y_orig y_prev iv_b in0_b in_b out_b scratch_b key_words
round_keys keys_b hkeys_b ctr_BE_orig ctr_BE) (va_wpProof_Loop6x_loop_decrypt alg h_LE y_orig
y_prev iv_b in0_b in_b out_b scratch_b key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE))
#pop-options
//--
//-- Loop6x_loop_body0
#push-options "--z3rlimit 750"
val va_code_Loop6x_loop_body0 : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Loop6x_loop_body0 alg =
(va_Block (va_CCons (va_code_Loop6x alg) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))
val va_codegen_success_Loop6x_loop_body0 : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Loop6x_loop_body0 alg =
(va_pbool_and (va_codegen_success_Loop6x alg) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Loop6x_loop_body0 (va_mods:va_mods_t) (va_old:va_state) (alg:algorithm)
(va_in_count:nat) (va_in_ctr_BE_orig:quad32) (va_in_h_LE:quad32) (va_in_hkeys_b:buffer128)
(va_in_in0_b:buffer128) (va_in_in_b:buffer128) (va_in_iv_b:buffer128) (va_in_key_words:(seq
nat32)) (va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32))
(va_in_round_keys:(seq quad32)) (va_in_scratch_b:buffer128) (va_in_y_orig:quad32)
(va_in_ctr:quad32) (va_in_iter:nat) (va_in_y_cur:quad32) : (va_quickCode (quad32 & nat & quad32)
(va_code_Loop6x_loop_body0 alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (count:nat) =
va_in_count in let (ctr_BE_orig:quad32) = va_in_ctr_BE_orig in let (h_LE:quad32) = va_in_h_LE
in let (hkeys_b:buffer128) = va_in_hkeys_b in let (in0_b:buffer128) = va_in_in0_b in let
(in_b:buffer128) = va_in_in_b in let (iv_b:buffer128) = va_in_iv_b in let (key_words:(seq
nat32)) = va_in_key_words in let (keys_b:buffer128) = va_in_keys_b in let (out_b:buffer128) =
va_in_out_b in let (plain_quads:(seq quad32)) = va_in_plain_quads in let (round_keys:(seq
quad32)) = va_in_round_keys in let (scratch_b:buffer128) = va_in_scratch_b in let
(y_orig:quad32) = va_in_y_orig in let (ctr:quad32) = va_in_ctr in let (iter:nat) = va_in_iter
in let (y_cur:quad32) = va_in_y_cur in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 959 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x alg h_LE y_orig y_cur (count + iter) iv_b in0_b in_b out_b scratch_b
plain_quads key_words round_keys keys_b hkeys_b ctr_BE_orig ctr) (fun (va_s:va_state)
(y_cur:quad32) -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 961 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(iter + 1 >= 0) (fun _ -> let (iter:nat) = iter + 1 in let (ctr:quad32) = Vale.AES.GCTR_s.inc32
ctr 6 in va_QEmpty ((ctr, iter, y_cur))))))
val va_lemma_Loop6x_loop_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
alg:algorithm -> va_in_count:nat -> va_in_ctr_BE_orig:quad32 -> va_in_h_LE:quad32 ->
va_in_hkeys_b:buffer128 -> va_in_in0_b:buffer128 -> va_in_in_b:buffer128 -> va_in_iv_b:buffer128
-> va_in_key_words:(seq nat32) -> va_in_keys_b:buffer128 -> va_in_out_b:buffer128 ->
va_in_plain_quads:(seq quad32) -> va_in_round_keys:(seq quad32) -> va_in_scratch_b:buffer128 ->
va_in_y_orig:quad32 -> va_in_ctr:quad32 -> va_in_iter:nat -> va_in_y_cur:quad32
-> Ghost (va_state & va_fuel & quad32 & nat & quad32)
(requires (va_require_total va_b0 (va_code_Loop6x_loop_body0 alg) va_s0 /\ va_get_ok va_s0 /\
(sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_s0 == va_get_reg64 rRdx va_old - 6
`op_Multiply` va_in_iter /\ va_get_reg64 rR14 va_s0 == va_get_reg64 rR14 va_old + 96
`op_Multiply` va_in_iter /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old + 96
`op_Multiply` va_in_iter /\ va_get_reg64 rRsi va_s0 == va_get_reg64 rRsi va_old + 96
`op_Multiply` va_in_iter /\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2
va_s0) (va_get_reg64 rR8 va_s0) va_in_iv_b 1 (va_get_mem_layout va_s0) Public /\ (va_get_reg64
rRdx va_s0 > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b ((va_in_count - 1) `op_Multiply` 6 + va_in_iter
`op_Multiply` 6) (va_get_reg64 rRdx va_old - va_in_iter `op_Multiply` 6) (va_get_mem_layout
va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi va_s0) va_in_in_b (va_in_count `op_Multiply` 6
+ va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - va_in_iter `op_Multiply` 6)
(va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
va_in_out_b (va_in_count `op_Multiply` 6 + va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - va_in_iter `op_Multiply` 6) (va_get_mem_layout va_s0) Secret) /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
va_in_scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) va_in_hkeys_b 8 (va_get_mem_layout
va_s0) Secret /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b ==
va_in_out_b) /\ va_in_in0_b == va_in_out_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_s0
> 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in_b) (6 `op_Multiply` va_in_count + 6 `op_Multiply`
va_in_iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64
rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\ (va_get_reg64 rRdx va_s0 >
0 ==> va_get_reg64 rR14 va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\
(va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx
va_s0 < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b
(va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_s0) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 +
va_in_iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_s0 == 0 ==> va_get_reg64 rRdx va_old
>= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 +
va_get_reg64 rRdx va_old - 1)) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b
(va_get_mem_heaplet 2 va_old) (va_get_mem_heaplet 2 va_s0) 0 0 /\ aes_reqs_offset alg
va_in_key_words va_in_round_keys va_in_keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0
va_s0) (va_get_mem_layout va_s0) /\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32
va_in_round_keys 0 /\ pclmulqdq_enabled /\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg
va_in_key_words (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) /\
Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) va_in_hkeys_b)
(Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE) /\ va_in_count + va_in_iter - 2 >= 0 /\
(va_get_reg64 rRdx va_s0 > 0 ==> scratch_reqs va_in_scratch_b (va_in_count + va_in_iter - 2)
(va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in0_b)
(va_get_xmm 7 va_s0)) /\ (va_get_reg64 rRdx va_s0 == 0 ==> scratch_reqs va_in_scratch_b
(va_in_count + va_in_iter - 2) (va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in0_b) (Vale.X64.Decls.buffer128_read va_in_scratch_b 2
(va_get_mem_heaplet 3 va_s0))) /\ va_in_y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE
va_in_y_orig (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in0_b) 0 ((va_in_count + va_in_iter - 2) `op_Multiply` 6))
/\ (va_get_reg64 rRdx va_s0 > 0 ==> va_in_y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_s0)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_s0)))))) /\ (va_get_reg64 rRdx va_s0 == 0 ==> va_get_xmm 8 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 va_in_y_cur) /\ 2 <= va_in_count /\ va_get_reg64 rRdx
va_s0 `op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ (6 <= va_get_reg64 rRdx
va_old /\ va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_count
`op_Multiply` 6 + va_in_iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64 rRdx va_s0 > 0 ==>
va_get_reg64 rRdx va_s0 >= 6) /\ va_in_ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (6
`op_Multiply` va_in_count + va_in_iter `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 0) /\ va_get_reg64
rRbx va_s0 == va_in_ctr.lo0 `op_Modulus` 256 /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite va_in_ctr 0)) (va_get_xmm 15 va_s0)) /\ (va_get_reg64 rRdx va_s0 > 0
==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 10 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 1))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 2))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 3))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 4))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 5))) /\ (va_get_reg64
rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s0) (va_get_xmm 10 va_s0)
(va_get_xmm 11 va_s0) (va_get_xmm 12 va_s0) (va_get_xmm 13 va_s0) (va_get_xmm 14 va_s0)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_count + va_in_iter - 1)) /\
(va_get_reg64 rRdx va_s0 > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` va_in_iter) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_s0 == 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count + 6 `op_Multiply` (va_in_iter - 1))
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ va_get_reg64 rRdx va_s0 > 0))
(ensures (fun (va_sM, va_fM, ctr, iter, y_cur) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_sM == va_get_reg64
rRdx va_old - 6 `op_Multiply` iter /\ va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_old + 96
`op_Multiply` iter /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96 `op_Multiply`
iter /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter /\
va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b ((va_in_count - 1) `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM >
0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRdi
va_sM) va_in_in_b (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM >
0 ==> Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRsi
va_sM) va_in_out_b (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_sM) (va_get_reg64 rRbp va_sM)
va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32) va_in_hkeys_b 8 (va_get_mem_layout
va_sM) Secret /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b ==
va_in_out_b) /\ va_in_in0_b == va_in_out_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_sM
> 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in_b) (6 `op_Multiply` va_in_count + 6 `op_Multiply` iter)
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdi va_sM + 16
`op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64 rRdx va_sM > 0 ==>
va_get_reg64 rR14 va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM <
pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b (va_get_mem_heaplet 3
va_old) (va_get_mem_heaplet 3 va_sM) 1 8 /\ Vale.X64.Decls.modifies_buffer_specific128
va_in_out_b (va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) (va_in_count
`op_Multiply` 6) (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx
va_sM == 0 ==> va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128
va_in_out_b (va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) (va_in_count
`op_Multiply` 6) (va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)
/\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_sM) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ va_in_count + iter - 2 >= 0 /\ (va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b
(va_in_count + iter - 2) (va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\ (va_get_reg64 rRdx va_sM == 0 ==> scratch_reqs
va_in_scratch_b (va_in_count + iter - 2) (va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in0_b) (Vale.X64.Decls.buffer128_read va_in_scratch_b 2
(va_get_mem_heaplet 3 va_sM))) /\ y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE
va_in_y_orig (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in0_b) 0 ((va_in_count + iter - 2) `op_Multiply` 6)) /\
(va_get_reg64 rRdx va_sM > 0 ==> y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_sM)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ 2 <= va_in_count /\ va_get_reg64 rRdx va_sM
`op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_sM < pow2_32 /\ (6 <= va_get_reg64 rRdx va_old /\
va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_count
`op_Multiply` 6 + iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64 rRdx va_sM > 0 ==>
va_get_reg64 rRdx va_sM >= 6) /\ ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (6
`op_Multiply` va_in_count + iter `op_Multiply` 6) /\ va_get_xmm 2 va_sM ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\ va_get_reg64 rRbx
va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256 /\ (va_get_reg64 rRdx
va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ (va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM
== Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ (va_get_reg64
rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ (va_get_reg64 rRdx
va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm 10 va_sM)
(va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14 va_sM)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_count + iter - 1)) /\
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` iter) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_sM == 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count + 6 `op_Multiply` (iter - 1))
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ precedes_wrap (va_get_reg64 rRdx va_sM) (va_get_reg64
rRdx va_s0) /\ va_state_eq va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7
va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3
va_sM (va_update_xmm 2 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13
va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 1
va_sM (va_update_xmm 0 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRdi va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM
(va_update_ok va_sM (va_update_mem va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet
3 va_sM (va_update_mem_heaplet 2 va_sM (va_update_flags va_sM
va_s0))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Loop6x_loop_body0 va_b0 va_s0 va_old alg va_in_count va_in_ctr_BE_orig va_in_h_LE
va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b
va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags] in
let va_qc = va_qcode_Loop6x_loop_body0 va_mods va_old alg va_in_count va_in_ctr_BE_orig
va_in_h_LE va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b
va_in_out_b va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr
va_in_iter va_in_y_cur in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Loop6x_loop_body0 alg) va_qc va_s0 (fun
va_s0 va_sM va_g -> let (ctr, iter, y_cur) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 742 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 878 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(sse_enabled /\ movbe_enabled) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 880 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_old - 6 `op_Multiply` iter) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 882 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_old + 96 `op_Multiply` iter) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 883 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96 `op_Multiply` iter) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 884 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 886 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 889 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 891 column 127 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rR14 va_sM) va_in_in0_b ((va_in_count - 1) `op_Multiply` 6 + iter
`op_Multiply` 6) (va_get_reg64 rRdx va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM)
Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 892 column 123 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rRdi va_sM) va_in_in_b (va_in_count `op_Multiply` 6 + iter `op_Multiply`
6) (va_get_reg64 rRdx va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 893 column 123 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rRsi va_sM) va_in_out_b (va_in_count `op_Multiply` 6 + iter `op_Multiply`
6) (va_get_reg64 rRdx va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 895 column 74 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_sM) (va_get_reg64 rRbp va_sM)
va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 896 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32)
va_in_hkeys_b 8 (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 897 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 898 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_in0_b == va_in_out_b) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 900 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) va_in_in_b) >= 6) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 901 column 128 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in_b) (6 `op_Multiply` va_in_count + 6
`op_Multiply` iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 902 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 903 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rR14 va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 904 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 906 column 76 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b (va_get_mem_heaplet 3 va_old)
(va_get_mem_heaplet 3 va_sM) 1 8) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 907 column 95 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 + iter
`op_Multiply` 6 + 5)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 908 column 131 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_reg64 rRdx va_old >= 6 /\
Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 +
va_get_reg64 rRdx va_old - 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 909 column 74 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 912 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(aes_reqs_offset alg va_in_key_words va_in_round_keys va_in_keys_b (va_get_reg64 rRcx va_sM)
(va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 913 column 43 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 916 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
pclmulqdq_enabled /\ label va_range1
"***** POSTCONDITION NOT MET AT line 917 column 71 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 918 column 78 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_sM)
va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 920 column 34 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_count + iter - 2 >= 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 921 column 103 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b (va_in_count + iter - 2)
(va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b)
(va_get_xmm 7 va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 922 column 137 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> scratch_reqs va_in_scratch_b (va_in_count + iter - 2)
(va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b)
(Vale.X64.Decls.buffer128_read va_in_scratch_b 2 (va_get_mem_heaplet 3 va_sM))) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 924 column 112 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice
#Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b) 0
((va_in_count + iter - 2) `op_Multiply` 6))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 926 column 107 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_sM)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_sM)))))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 927 column 59 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
y_cur) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 930 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(2 <= va_in_count) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 931 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM `op_Modulus` 6 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 932 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 933 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(6 <= va_get_reg64 rRdx va_old /\ va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 <
pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 934 column 43 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_count `op_Multiply` 6 + iter `op_Multiply` 6 + 6 < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 935 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdx va_sM >= 6) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 936 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (6 `op_Multiply` va_in_count + iter
`op_Multiply` 6)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 937 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 938 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 939 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 941 column 94 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 943 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 944 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 945 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 946 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 947 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 950 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm
10 va_sM) (va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14
va_sM) va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_count + iter - 1)) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 953 column 117 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` iter) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 954 column 128 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` (iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 955 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(precedes_wrap (va_get_reg64 rRdx va_sM) (va_get_reg64 rRdx va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags]) va_sM va_s0;
let (ctr, iter, y_cur) = va_g in
(va_sM, va_fM, ctr, iter, y_cur) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.State.fsti.checked",
"Vale.X64.QuickCodes.fsti.checked",
"Vale.X64.QuickCode.fst.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.InsVector.fsti.checked",
"Vale.X64.InsMem.fsti.checked",
"Vale.X64.InsBasic.fsti.checked",
"Vale.X64.InsAes.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fsti.checked",
"Vale.X64.CPU_Features_s.fst.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.AES.X64.PolyOps.fsti.checked",
"Vale.AES.X64.AESopt2.fsti.checked",
"Vale.AES.X64.AESopt.fsti.checked",
"Vale.AES.GHash.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_s.fst.checked",
"Vale.AES.GCTR.fsti.checked",
"Vale.AES.GCM_helpers.fsti.checked",
"Vale.AES.AES_s.fst.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_common_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked"
],
"interface_file": true,
"source_file": "Vale.AES.X64.AESGCM.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.AES.X64.AESopt2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.X64.AESopt",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash",
"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.X64.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsAes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"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": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.X64.AESopt2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.X64.AESopt",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash",
"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.X64.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsAes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"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": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.X64",
"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": 750,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_old: Vale.X64.Decls.va_state ->
alg: Vale.AES.AES_common_s.algorithm ->
va_in_count: Prims.nat ->
va_in_ctr_BE_orig: Vale.X64.Decls.quad32 ->
va_in_h_LE: Vale.X64.Decls.quad32 ->
va_in_hkeys_b: Vale.X64.Memory.buffer128 ->
va_in_in0_b: Vale.X64.Memory.buffer128 ->
va_in_in_b: Vale.X64.Memory.buffer128 ->
va_in_iv_b: Vale.X64.Memory.buffer128 ->
va_in_key_words: FStar.Seq.Base.seq Vale.X64.Memory.nat32 ->
va_in_keys_b: Vale.X64.Memory.buffer128 ->
va_in_out_b: Vale.X64.Memory.buffer128 ->
va_in_plain_quads: FStar.Seq.Base.seq Vale.X64.Decls.quad32 ->
va_in_round_keys: FStar.Seq.Base.seq Vale.X64.Decls.quad32 ->
va_in_scratch_b: Vale.X64.Memory.buffer128 ->
va_in_y_orig: Vale.X64.Decls.quad32 ->
va_in_ctr: Vale.X64.Decls.quad32 ->
va_in_iter: Prims.nat ->
va_in_y_cur: Vale.X64.Decls.quad32 ->
va_s0: Vale.X64.Decls.va_state ->
va_k:
(
_: Vale.X64.Decls.va_state ->
_: ((Vale.X64.Decls.quad32 * Prims.nat) * Vale.X64.Decls.quad32)
-> Type0)
-> Type0 | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.Decls.va_state",
"Vale.AES.AES_common_s.algorithm",
"Prims.nat",
"Vale.X64.Decls.quad32",
"Vale.X64.Memory.buffer128",
"FStar.Seq.Base.seq",
"Vale.X64.Memory.nat32",
"FStar.Pervasives.Native.tuple3",
"Prims.l_and",
"Prims.b2t",
"Vale.X64.Decls.va_get_ok",
"Vale.X64.CPU_Features_s.sse_enabled",
"Vale.X64.CPU_Features_s.movbe_enabled",
"Prims.eq2",
"Prims.int",
"Vale.X64.Decls.va_get_reg64",
"Vale.X64.Machine_s.rRdx",
"Prims.op_Subtraction",
"Prims.op_Multiply",
"Vale.X64.Machine_s.rR14",
"Prims.op_Addition",
"Vale.X64.Machine_s.rRdi",
"Vale.X64.Machine_s.rRsi",
"Vale.Def.Words_s.four",
"Vale.Def.Types_s.nat32",
"Vale.X64.Decls.va_get_xmm",
"Vale.Def.Words_s.Mkfour",
"Vale.X64.Decls.validDstAddrs128",
"Vale.X64.Decls.va_get_mem_heaplet",
"Vale.X64.Machine_s.rR8",
"Vale.X64.Decls.va_get_mem_layout",
"Vale.Arch.HeapTypes_s.Public",
"Prims.l_imp",
"Prims.op_GreaterThan",
"Vale.X64.Decls.validSrcAddrsOffset128",
"Vale.Arch.HeapTypes_s.Secret",
"Vale.X64.Decls.validDstAddrsOffset128",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.Decls.validSrcAddrs128",
"Vale.X64.Machine_s.rR9",
"Prims.l_or",
"Vale.X64.Decls.buffers_disjoint128",
"Prims.op_GreaterThanOrEqual",
"FStar.Seq.Base.length",
"Vale.X64.Decls.s128",
"Vale.AES.GCTR.partial_seq_agreement",
"Prims.op_LessThan",
"Vale.X64.Machine_s.pow2_64",
"Vale.X64.Decls.modifies_buffer_specific128",
"Vale.X64.Decls.buffer_modifies_specific128",
"Vale.AES.X64.AESopt.aes_reqs_offset",
"Vale.X64.Machine_s.rRcx",
"FStar.Seq.Base.index",
"Vale.X64.CPU_Features_s.pclmulqdq_enabled",
"Vale.Def.Types_s.quad32",
"Vale.AES.AES_s.aes_encrypt_LE",
"Vale.AES.GHash.hkeys_reqs_priv",
"Vale.Def.Types_s.reverse_bytes_quad32",
"Vale.AES.X64.AESopt.scratch_reqs",
"Vale.X64.Decls.buffer128_read",
"Vale.AES.GHash.ghash_incremental0",
"FStar.Seq.Base.slice",
"Vale.Math.Poly2.Bits_s.to_quad32",
"Vale.Math.Poly2_s.add",
"Vale.Math.Poly2.Bits_s.of_quad32",
"Prims.op_LessThanOrEqual",
"Prims.op_Modulus",
"Vale.X64.Machine_s.pow2_32",
"Vale.AES.GCTR.inc32lite",
"Vale.X64.Machine_s.rRbx",
"Vale.Def.Words_s.__proj__Mkfour__item__lo0",
"Vale.Def.Types_s.quad32_xor",
"Vale.AES.GCTR.gctr_registers",
"Vale.AES.GCTR.gctr_partial",
"Prims.l_Forall",
"Vale.X64.Flags.t",
"Vale.X64.InsBasic.vale_heap",
"Prims.bool",
"Vale.X64.Memory.nat64",
"Vale.X64.QuickCodes.precedes_wrap",
"Vale.Def.Types_s.nat64",
"FStar.Pervasives.Native.Mktuple3",
"Vale.X64.State.vale_state",
"Vale.X64.Decls.va_upd_xmm",
"Vale.X64.Decls.va_upd_reg64",
"Vale.X64.Machine_s.rR13",
"Vale.X64.Machine_s.rR12",
"Vale.X64.Machine_s.rR11",
"Vale.X64.Decls.va_upd_ok",
"Vale.X64.Decls.va_upd_mem",
"Vale.X64.Decls.va_upd_mem_heaplet",
"Vale.X64.Decls.va_upd_flags"
] | [] | false | false | false | true | true | let va_wp_Loop6x_loop_body0
(va_old: va_state)
(alg: algorithm)
(va_in_count: nat)
(va_in_ctr_BE_orig va_in_h_LE: quad32)
(va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b: buffer128)
(va_in_key_words: (seq nat32))
(va_in_keys_b va_in_out_b: buffer128)
(va_in_plain_quads va_in_round_keys: (seq quad32))
(va_in_scratch_b: buffer128)
(va_in_y_orig va_in_ctr: quad32)
(va_in_iter: nat)
(va_in_y_cur: quad32)
(va_s0: va_state)
(va_k: (va_state -> (quad32 & nat & quad32) -> Type0))
: Type0 =
| (va_get_ok va_s0 /\ (sse_enabled /\ movbe_enabled) /\
va_get_reg64 rRdx va_s0 == va_get_reg64 rRdx va_old - 6 `op_Multiply` va_in_iter /\
va_get_reg64 rR14 va_s0 == va_get_reg64 rR14 va_old + 96 `op_Multiply` va_in_iter /\
va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old + 96 `op_Multiply` va_in_iter /\
va_get_reg64 rRsi va_s0 == va_get_reg64 rRsi va_old + 96 `op_Multiply` va_in_iter /\
va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_s0)
(va_get_reg64 rR8 va_s0)
va_in_iv_b
1
(va_get_mem_layout va_s0)
Public /\
(va_get_reg64 rRdx va_s0 > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0)
va_in_in0_b
((va_in_count - 1) `op_Multiply` 6 + va_in_iter `op_Multiply` 6)
(va_get_reg64 rRdx va_old - va_in_iter `op_Multiply` 6)
(va_get_mem_layout va_s0)
Secret) /\
(va_get_reg64 rRdx va_s0 > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rRdi va_s0)
va_in_in_b
(va_in_count `op_Multiply` 6 + va_in_iter `op_Multiply` 6)
(va_get_reg64 rRdx va_old - va_in_iter `op_Multiply` 6)
(va_get_mem_layout va_s0)
Secret) /\
(va_get_reg64 rRdx va_s0 > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rRsi va_s0)
va_in_out_b
(va_in_count `op_Multiply` 6 + va_in_iter `op_Multiply` 6)
(va_get_reg64 rRdx va_old - va_in_iter `op_Multiply` 6)
(va_get_mem_layout va_s0)
Secret) /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0)
(va_get_reg64 rRbp va_s0)
va_in_scratch_b
9
(va_get_mem_layout va_s0)
Secret /\
Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0)
(va_get_reg64 rR9 va_s0 - 32)
va_in_hkeys_b
8
(va_get_mem_layout va_s0)
Secret /\
(Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\
va_in_in0_b == va_in_out_b /\
FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b) >=
6 /\
(va_get_reg64 rRdx va_s0 > 0 ==>
Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in_b)
(6 `op_Multiply` va_in_count + 6 `op_Multiply` va_in_iter)
(FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b))) /\
(va_get_reg64 rRdx va_s0 > 0 ==>
va_get_reg64 rRdi va_s0 + 16 `op_Multiply` (va_get_reg64 rRdx va_s0) < pow2_64) /\
(va_get_reg64 rRdx va_s0 > 0 ==>
va_get_reg64 rR14 va_s0 + 16 `op_Multiply` (va_get_reg64 rRdx va_s0) < pow2_64) /\
(va_get_reg64 rRdx va_s0 > 0 ==>
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` (va_get_reg64 rRdx va_s0) < pow2_64) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b
(va_get_mem_heaplet 3 va_old)
(va_get_mem_heaplet 3 va_s0)
1
8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0)
(va_in_count `op_Multiply` 6)
(va_in_count `op_Multiply` 6 + va_in_iter `op_Multiply` 6 + 5) /\
(va_get_reg64 rRdx va_s0 == 0 ==>
va_get_reg64 rRdx va_old >= 6 /\
Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0)
(va_in_count `op_Multiply` 6)
(va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b
(va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_s0)
0
0 /\
aes_reqs_offset alg
va_in_key_words
va_in_round_keys
va_in_keys_b
(va_get_reg64 rRcx va_s0)
(va_get_mem_heaplet 0 va_s0)
(va_get_mem_layout va_s0) /\
va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled /\
va_in_h_LE ==
Vale.AES.AES_s.aes_encrypt_LE alg
va_in_key_words
(Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) /\
Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) va_in_hkeys_b)
(Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE) /\ va_in_count + va_in_iter - 2 >= 0 /\
(va_get_reg64 rRdx va_s0 > 0 ==>
scratch_reqs va_in_scratch_b
(va_in_count + va_in_iter - 2)
(va_get_mem_heaplet 3 va_s0)
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in0_b)
(va_get_xmm 7 va_s0)) /\
(va_get_reg64 rRdx va_s0 == 0 ==>
scratch_reqs va_in_scratch_b
(va_in_count + va_in_iter - 2)
(va_get_mem_heaplet 3 va_s0)
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in0_b)
(Vale.X64.Decls.buffer128_read va_in_scratch_b 2 (va_get_mem_heaplet 3 va_s0))) /\
va_in_y_cur ==
Vale.AES.GHash.ghash_incremental0 va_in_h_LE
va_in_y_orig
(FStar.Seq.Base.slice #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in0_b)
0
((va_in_count + va_in_iter - 2) `op_Multiply` 6)) /\
(va_get_reg64 rRdx va_s0 > 0 ==>
va_in_y_cur ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 8 va_s0))
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_s0)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b
1
(va_get_mem_heaplet 3 va_s0)))))) /\
(va_get_reg64 rRdx va_s0 == 0 ==>
va_get_xmm 8 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 va_in_y_cur) /\ 2 <= va_in_count /\
(va_get_reg64 rRdx va_s0) `op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\
(6 <= va_get_reg64 rRdx va_old /\
va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 < pow2_32) /\
va_in_count `op_Multiply` 6 + va_in_iter `op_Multiply` 6 + 6 < pow2_32 /\
(va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRdx va_s0 >= 6) /\
va_in_ctr ==
Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig
(6 `op_Multiply` va_in_count + va_in_iter `op_Multiply` 6) /\
va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
va_get_xmm 1 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 0) /\
va_get_reg64 rRbx va_s0 == va_in_ctr.lo0 `op_Modulus` 256 /\
(va_get_reg64 rRdx va_s0 > 0 ==>
va_get_xmm 9 va_s0 ==
Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr
0))
(va_get_xmm 15 va_s0)) /\
(va_get_reg64 rRdx va_s0 > 0 ==>
(va_get_reg64 rRbx va_s0 + 6 < 256 ==>
va_get_xmm 10 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 1))) /\
(va_get_reg64 rRdx va_s0 > 0 ==>
(va_get_reg64 rRbx va_s0 + 6 < 256 ==>
va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 2))) /\
(va_get_reg64 rRdx va_s0 > 0 ==>
(va_get_reg64 rRbx va_s0 + 6 < 256 ==>
va_get_xmm 12 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 3))) /\
(va_get_reg64 rRdx va_s0 > 0 ==>
(va_get_reg64 rRbx va_s0 + 6 < 256 ==>
va_get_xmm 13 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 4))) /\
(va_get_reg64 rRdx va_s0 > 0 ==>
(va_get_reg64 rRbx va_s0 + 6 < 256 ==>
va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 5))) /\
(va_get_reg64 rRdx va_s0 == 0 ==>
Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s0) (va_get_xmm 10 va_s0) (va_get_xmm 11 va_s0)
(va_get_xmm 12 va_s0) (va_get_xmm 13 va_s0) (va_get_xmm 14 va_s0) va_in_plain_quads alg
va_in_key_words va_in_ctr_BE_orig (va_in_count + va_in_iter - 1)) /\
(va_get_reg64 rRdx va_s0 > 0 ==>
Vale.AES.GCTR.gctr_partial alg
(6 `op_Multiply` va_in_count + 6 `op_Multiply` va_in_iter)
va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_out_b)
va_in_key_words
va_in_ctr_BE_orig) /\
(va_get_reg64 rRdx va_s0 == 0 ==>
Vale.AES.GCTR.gctr_partial alg
(6 `op_Multiply` va_in_count + 6 `op_Multiply` (va_in_iter - 1))
va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_out_b)
va_in_key_words
va_in_ctr_BE_orig) /\ va_get_reg64 rRdx va_s0 > 0 /\
(forall (va_x_efl: Vale.X64.Flags.t) (va_x_heap2: vale_heap) (va_x_heap3: vale_heap)
(va_x_heap6: vale_heap) (va_x_mem: vale_heap) (va_x_ok: bool) (va_x_r11: nat64)
(va_x_r12: nat64) (va_x_r13: nat64) (va_x_r14: nat64) (va_x_rbx: nat64) (va_x_rdi: nat64)
(va_x_rdx: nat64) (va_x_rsi: nat64) (va_x_xmm0: quad32) (va_x_xmm1: quad32)
(va_x_xmm10: quad32) (va_x_xmm11: quad32) (va_x_xmm12: quad32) (va_x_xmm13: quad32)
(va_x_xmm14: quad32) (va_x_xmm15: quad32) (va_x_xmm2: quad32) (va_x_xmm3: quad32)
(va_x_xmm4: quad32) (va_x_xmm5: quad32) (va_x_xmm6: quad32) (va_x_xmm7: quad32)
(va_x_xmm8: quad32) (va_x_xmm9: quad32) (ctr: quad32) (iter: nat) (y_cur: quad32).
let va_sM =
va_upd_xmm 9
va_x_xmm9
(va_upd_xmm 8
va_x_xmm8
(va_upd_xmm 7
va_x_xmm7
(va_upd_xmm 6
va_x_xmm6
(va_upd_xmm 5
va_x_xmm5
(va_upd_xmm 4
va_x_xmm4
(va_upd_xmm 3
va_x_xmm3
(va_upd_xmm 2
va_x_xmm2
(va_upd_xmm 15
va_x_xmm15
(va_upd_xmm 14
va_x_xmm14
(va_upd_xmm 13
va_x_xmm13
(va_upd_xmm 12
va_x_xmm12
(va_upd_xmm 11
va_x_xmm11
(va_upd_xmm 10
va_x_xmm10
(va_upd_xmm 1
va_x_xmm1
(va_upd_xmm 0
va_x_xmm0
(va_upd_reg64 rRsi
va_x_rsi
(va_upd_reg64 rRdx
va_x_rdx
(va_upd_reg64 rRdi
va_x_rdi
(va_upd_reg64 rRbx
va_x_rbx
(va_upd_reg64 rR14
va_x_r14
(va_upd_reg64
rR13
va_x_r13
(va_upd_reg64
rR12
va_x_r12
(va_upd_reg64
rR11
va_x_r11
(
va_upd_ok
va_x_ok
(
va_upd_mem
va_x_mem
(
va_upd_mem_heaplet
6
va_x_heap6
(
va_upd_mem_heaplet
3
va_x_heap3
(
va_upd_mem_heaplet
2
va_x_heap2
(
va_upd_flags
va_x_efl
va_s0
)
)
)
)
)
)
))
))))))))))
)))))))))))
in
va_get_ok va_sM /\ (sse_enabled /\ movbe_enabled) /\
va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_old - 6 `op_Multiply` iter /\
va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_old + 96 `op_Multiply` iter /\
va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96 `op_Multiply` iter /\
va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter /\
va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM)
(va_get_reg64 rR8 va_sM)
va_in_iv_b
1
(va_get_mem_layout va_sM)
Public /\
(va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM)
(va_get_reg64 rR14 va_sM)
va_in_in0_b
((va_in_count - 1) `op_Multiply` 6 + iter `op_Multiply` 6)
(va_get_reg64 rRdx va_old - iter `op_Multiply` 6)
(va_get_mem_layout va_sM)
Secret) /\
(va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM)
(va_get_reg64 rRdi va_sM)
va_in_in_b
(va_in_count `op_Multiply` 6 + iter `op_Multiply` 6)
(va_get_reg64 rRdx va_old - iter `op_Multiply` 6)
(va_get_mem_layout va_sM)
Secret) /\
(va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_sM)
(va_get_reg64 rRsi va_sM)
va_in_out_b
(va_in_count `op_Multiply` 6 + iter `op_Multiply` 6)
(va_get_reg64 rRdx va_old - iter `op_Multiply` 6)
(va_get_mem_layout va_sM)
Secret) /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_sM)
(va_get_reg64 rRbp va_sM)
va_in_scratch_b
9
(va_get_mem_layout va_sM)
Secret /\
Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_sM)
(va_get_reg64 rR9 va_sM - 32)
va_in_hkeys_b
8
(va_get_mem_layout va_sM)
Secret /\
(Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\
va_in_in0_b == va_in_out_b /\
FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b) >=
6 /\
(va_get_reg64 rRdx va_sM > 0 ==>
Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in_b)
(6 `op_Multiply` va_in_count + 6 `op_Multiply` iter)
(FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b))) /\
(va_get_reg64 rRdx va_sM > 0 ==>
va_get_reg64 rRdi va_sM + 16 `op_Multiply` (va_get_reg64 rRdx va_sM) < pow2_64) /\
(va_get_reg64 rRdx va_sM > 0 ==>
va_get_reg64 rR14 va_sM + 16 `op_Multiply` (va_get_reg64 rRdx va_sM) < pow2_64) /\
(va_get_reg64 rRdx va_sM > 0 ==>
va_get_reg64 rRsi va_sM + 16 `op_Multiply` (va_get_reg64 rRdx va_sM) < pow2_64) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b
(va_get_mem_heaplet 3 va_old)
(va_get_mem_heaplet 3 va_sM)
1
8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM)
(va_in_count `op_Multiply` 6)
(va_in_count `op_Multiply` 6 + iter `op_Multiply` 6 + 5) /\
(va_get_reg64 rRdx va_sM == 0 ==>
va_get_reg64 rRdx va_old >= 6 /\
Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM)
(va_in_count `op_Multiply` 6)
(va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b
(va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM)
0
0 /\
aes_reqs_offset alg
va_in_key_words
va_in_round_keys
va_in_keys_b
(va_get_reg64 rRcx va_sM)
(va_get_mem_heaplet 0 va_sM)
(va_get_mem_layout va_sM) /\
va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled /\
va_in_h_LE ==
Vale.AES.AES_s.aes_encrypt_LE alg
va_in_key_words
(Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) /\
Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_sM) va_in_hkeys_b
)
(Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE) /\ va_in_count + iter - 2 >= 0 /\
(va_get_reg64 rRdx va_sM > 0 ==>
scratch_reqs va_in_scratch_b
(va_in_count + iter - 2)
(va_get_mem_heaplet 3 va_sM)
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b)
(va_get_xmm 7 va_sM)) /\
(va_get_reg64 rRdx va_sM == 0 ==>
scratch_reqs va_in_scratch_b
(va_in_count + iter - 2)
(va_get_mem_heaplet 3 va_sM)
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b)
(Vale.X64.Decls.buffer128_read va_in_scratch_b 2 (va_get_mem_heaplet 3 va_sM))) /\
y_cur ==
Vale.AES.GHash.ghash_incremental0 va_in_h_LE
va_in_y_orig
(FStar.Seq.Base.slice #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b)
0
((va_in_count + iter - 2) `op_Multiply` 6)) /\
(va_get_reg64 rRdx va_sM > 0 ==>
y_cur ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 8 va_sM))
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_sM)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b
1
(va_get_mem_heaplet 3 va_sM)))))) /\
(va_get_reg64 rRdx va_sM == 0 ==>
va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ 2 <= va_in_count /\
(va_get_reg64 rRdx va_sM) `op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_sM < pow2_32 /\
(6 <= va_get_reg64 rRdx va_old /\
va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 < pow2_32) /\
va_in_count `op_Multiply` 6 + iter `op_Multiply` 6 + 6 < pow2_32 /\
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdx va_sM >= 6) /\
ctr ==
Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (6 `op_Multiply` va_in_count + iter `op_Multiply` 6) /\
va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\
va_get_reg64 rRbx va_sM == (Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr) `op_Modulus` 256 /\
(va_get_reg64 rRdx va_sM > 0 ==>
va_get_xmm 9 va_sM ==
Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr
0))
(va_get_xmm 15 va_sM)) /\
(va_get_reg64 rRdx va_sM > 0 ==>
(va_get_reg64 rRbx va_sM + 6 < 256 ==>
va_get_xmm 10 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\
(va_get_reg64 rRdx va_sM > 0 ==>
(va_get_reg64 rRbx va_sM + 6 < 256 ==>
va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\
(va_get_reg64 rRdx va_sM > 0 ==>
(va_get_reg64 rRbx va_sM + 6 < 256 ==>
va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\
(va_get_reg64 rRdx va_sM > 0 ==>
(va_get_reg64 rRbx va_sM + 6 < 256 ==>
va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\
(va_get_reg64 rRdx va_sM > 0 ==>
(va_get_reg64 rRbx va_sM + 6 < 256 ==>
va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\
(va_get_reg64 rRdx va_sM == 0 ==>
Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm 10 va_sM)
(va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14 va_sM)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_count + iter - 1)) /\
(va_get_reg64 rRdx va_sM > 0 ==>
Vale.AES.GCTR.gctr_partial alg
(6 `op_Multiply` va_in_count + 6 `op_Multiply` iter)
va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b)
va_in_key_words
va_in_ctr_BE_orig) /\
(va_get_reg64 rRdx va_sM == 0 ==>
Vale.AES.GCTR.gctr_partial alg
(6 `op_Multiply` va_in_count + 6 `op_Multiply` (iter - 1))
va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b)
va_in_key_words
va_in_ctr_BE_orig) /\ precedes_wrap (va_get_reg64 rRdx va_sM) (va_get_reg64 rRdx va_s0) ==>
va_k va_sM ((ctr, iter, y_cur)))) | false |
Vale.Curve25519.X64.FastWide.fsti | Vale.Curve25519.X64.FastWide.va_wp_Fmul2 | val va_wp_Fmul2
(tmp_b inA_b dst_b inB_b: buffer64)
(va_s0: va_state)
(va_k: (va_state -> unit -> Type0))
: Type0 | val va_wp_Fmul2
(tmp_b inA_b dst_b inB_b: buffer64)
(va_s0: va_state)
(va_k: (va_state -> unit -> Type0))
: Type0 | let va_wp_Fmul2 (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64)
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) =
va_get_reg64 rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) =
va_get_reg64 rRcx va_s0 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Memory.is_initial_heap
(va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/
dst_b == inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 8 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 8 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 8
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 16 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64)
(va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rdi:nat64) (va_x_rsi:nat64)
(va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64)
(va_x_r14:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap)
(va_x_memLayout:vale_heap_layout) . let va_sM = va_upd_mem_layout va_x_memLayout
(va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64
rRdi va_x_rdi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx
va_x_rbx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))))))))) in va_get_ok
va_sM /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64
rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64
rRcx va_s0 in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1 =
Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let a0' = Vale.X64.Decls.buffer64_read inA_b (0 + 4) (va_get_mem va_s0) in let
a1' = Vale.X64.Decls.buffer64_read inA_b (1 + 4) (va_get_mem va_s0) in let a2' =
Vale.X64.Decls.buffer64_read inA_b (2 + 4) (va_get_mem va_s0) in let a3' =
Vale.X64.Decls.buffer64_read inA_b (3 + 4) (va_get_mem va_s0) in let b0' =
Vale.X64.Decls.buffer64_read inB_b (0 + 4) (va_get_mem va_s0) in let b1' =
Vale.X64.Decls.buffer64_read inB_b (1 + 4) (va_get_mem va_s0) in let b2' =
Vale.X64.Decls.buffer64_read inB_b (2 + 4) (va_get_mem va_s0) in let b3' =
Vale.X64.Decls.buffer64_read inB_b (3 + 4) (va_get_mem va_s0) in let a' =
Vale.Curve25519.Fast_defs.pow2_four a0' a1' a2' a3' in let b' =
Vale.Curve25519.Fast_defs.pow2_four b0' b1' b2' b3' in let d0 = Vale.X64.Decls.buffer64_read
dst_b 0 (va_get_mem va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM)
in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let d =
Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in let d0' = Vale.X64.Decls.buffer64_read dst_b
(0 + 4) (va_get_mem va_sM) in let d1' = Vale.X64.Decls.buffer64_read dst_b (1 + 4) (va_get_mem
va_sM) in let d2' = Vale.X64.Decls.buffer64_read dst_b (2 + 4) (va_get_mem va_sM) in let d3' =
Vale.X64.Decls.buffer64_read dst_b (3 + 4) (va_get_mem va_sM) in let d' =
Vale.Curve25519.Fast_defs.pow2_four d0' d1' d2' d3' in d `op_Modulus` prime == va_mul_nat a b
`op_Modulus` prime /\ d' `op_Modulus` prime == va_mul_nat a' b' `op_Modulus` prime /\
Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b (va_get_mem va_s0) (va_get_mem va_sM)) ==> va_k
va_sM (()))) | {
"file_name": "obj/Vale.Curve25519.X64.FastWide.fsti",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 547,
"start_col": 0,
"start_line": 493
} | module Vale.Curve25519.X64.FastWide
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.X64.Machine_s
open Vale.X64.Memory
open Vale.X64.Stack_i
open Vale.X64.State
open Vale.X64.Decls
open Vale.X64.InsBasic
open Vale.X64.InsMem
open Vale.X64.InsStack
open Vale.X64.QuickCode
open Vale.X64.QuickCodes
open Vale.Curve25519.Fast_defs
open Vale.X64.CPU_Features_s
//-- Fmul
val va_code_Fmul : va_dummy:unit -> Tot va_code
val va_codegen_success_Fmul : va_dummy:unit -> Tot va_pbool
let va_req_Fmul (va_b0:va_code) (va_s0:va_state) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
(inB_b:buffer64) : prop =
(va_require_total va_b0 (va_code_Fmul ()) va_s0 /\ va_get_ok va_s0 /\ (let (tmp_in:nat64) =
va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0 in let (dst_in:nat64) =
va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64 rRcx va_s0 in adx_enabled /\
bmi2_enabled /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret))
let va_ens_Fmul (va_b0:va_code) (va_s0:va_state) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
(inB_b:buffer64) (va_sM:va_state) (va_fM:va_fuel) : prop =
(va_req_Fmul va_b0 va_s0 tmp_b inA_b dst_b inB_b /\ va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) =
va_get_reg64 rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) =
va_get_reg64 rRcx va_s0 in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in
let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM)) /\ va_state_eq va_sM (va_update_mem_layout va_sM
(va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsi va_sM
(va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem
va_sM va_s0))))))))))))))))))
val va_lemma_Fmul : va_b0:va_code -> va_s0:va_state -> tmp_b:buffer64 -> inA_b:buffer64 ->
dst_b:buffer64 -> inB_b:buffer64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Fmul ()) va_s0 /\ va_get_ok va_s0 /\ (let
(tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0 in let
(dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64 rRcx va_s0 in
adx_enabled /\ bmi2_enabled /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0)
(va_get_mem va_s0) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0
in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64 rRcx va_s0
in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1 =
Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM)) /\ va_state_eq va_sM (va_update_mem_layout va_sM
(va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsi va_sM
(va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem
va_sM va_s0)))))))))))))))))))
[@ va_qattr]
let va_wp_Fmul (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64) (va_s0:va_state)
(va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) =
va_get_reg64 rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) =
va_get_reg64 rRcx va_s0 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Memory.is_initial_heap
(va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/
dst_b == inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64)
(va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rdi:nat64) (va_x_rsi:nat64)
(va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64)
(va_x_r14:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap)
(va_x_memLayout:vale_heap_layout) . let va_sM = va_upd_mem_layout va_x_memLayout
(va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64
rRdi va_x_rdi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx
va_x_rbx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))))))))) in va_get_ok
va_sM /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64
rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64
rRcx va_s0 in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1 =
Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM)) ==> va_k va_sM (())))
val va_wpProof_Fmul : tmp_b:buffer64 -> inA_b:buffer64 -> dst_b:buffer64 -> inB_b:buffer64 ->
va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Fmul tmp_b inA_b dst_b inB_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fmul ()) ([va_Mod_mem_layout;
va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@ "opaque_to_smt" va_qattr]
let va_quick_Fmul (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64) :
(va_quickCode unit (va_code_Fmul ())) =
(va_QProc (va_code_Fmul ()) ([va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64
rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64
rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64
rRbx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Fmul tmp_b inA_b dst_b inB_b) (va_wpProof_Fmul
tmp_b inA_b dst_b inB_b))
//--
//-- Fmul_stdcall
val va_code_Fmul_stdcall : win:bool -> Tot va_code
val va_codegen_success_Fmul_stdcall : win:bool -> Tot va_pbool
let va_req_Fmul_stdcall (va_b0:va_code) (va_s0:va_state) (win:bool) (tmp_b:buffer64)
(inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64) : prop =
(va_require_total va_b0 (va_code_Fmul_stdcall win) va_s0 /\ va_get_ok va_s0 /\ (let
(tmp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else
va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (dst_in:(va_int_range 0
18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in
let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR9 va_s0 else
va_get_reg64 rRcx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack
va_s0) /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(adx_enabled /\ bmi2_enabled) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b ==
inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret))
let va_ens_Fmul_stdcall (va_b0:va_code) (va_s0:va_state) (win:bool) (tmp_b:buffer64)
(inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64) (va_sM:va_state) (va_fM:va_fuel) : prop =
(va_req_Fmul_stdcall va_b0 va_s0 win tmp_b inA_b dst_b inB_b /\ va_ensure_total va_b0 va_s0 va_sM
va_fM /\ va_get_ok va_sM /\ (let (tmp_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0
18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in
let (dst_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else
va_get_reg64 rRdx va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rR9 va_s0 else va_get_reg64 rRcx va_s0) in let a0 = Vale.X64.Decls.buffer64_read
inA_b 0 (va_get_mem va_s0) in let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0)
in let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM) /\ (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx
va_s0) /\ (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ (win ==> va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_s0) /\ (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi
va_s0) /\ (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ (win ==> va_get_reg64
rR13 va_sM == va_get_reg64 rR13 va_s0) /\ (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14
va_s0) /\ (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ (~win ==>
va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ (~win ==> va_get_reg64 rRbp va_sM ==
va_get_reg64 rRbp va_s0) /\ (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\
(~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ (~win ==> va_get_reg64 rR15
va_sM == va_get_reg64 rR15 va_s0) /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\
va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout
va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem
va_sM va_s0)))))))))))))))))))))))
val va_lemma_Fmul_stdcall : va_b0:va_code -> va_s0:va_state -> win:bool -> tmp_b:buffer64 ->
inA_b:buffer64 -> dst_b:buffer64 -> inB_b:buffer64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Fmul_stdcall win) va_s0 /\ va_get_ok va_s0 /\ (let
(tmp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else
va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (dst_in:(va_int_range 0
18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in
let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR9 va_s0 else
va_get_reg64 rRcx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack
va_s0) /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(adx_enabled /\ bmi2_enabled) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b ==
inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (tmp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else
va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (dst_in:(va_int_range 0
18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in
let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR9 va_s0 else
va_get_reg64 rRcx va_s0) in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in
let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM) /\ (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx
va_s0) /\ (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ (win ==> va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_s0) /\ (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi
va_s0) /\ (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ (win ==> va_get_reg64
rR13 va_sM == va_get_reg64 rR13 va_s0) /\ (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14
va_s0) /\ (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ (~win ==>
va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ (~win ==> va_get_reg64 rRbp va_sM ==
va_get_reg64 rRbp va_s0) /\ (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\
(~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ (~win ==> va_get_reg64 rR15
va_sM == va_get_reg64 rR15 va_s0) /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\
va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout
va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem
va_sM va_s0))))))))))))))))))))))))
[@ va_qattr]
let va_wp_Fmul_stdcall (win:bool) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
(inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (tmp_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ ->
va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0
18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64
rRsi va_s0) in let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ ->
va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in let (inB_in:(va_int_range 0
18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR9 va_s0) (fun _ -> va_get_reg64
rRcx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack va_s0) /\
Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (adx_enabled /\
bmi2_enabled) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64)
(va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (va_x_rdi:nat64)
(va_x_rbp:nat64) (va_x_rsp:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64)
(va_x_r11:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_efl:Vale.X64.Flags.t)
(va_x_heap0:vale_heap) (va_x_memLayout:vale_heap_layout) (va_x_stack:vale_stack)
(va_x_stackTaint:memtaint) . let va_sM = va_upd_stackTaint va_x_stackTaint (va_upd_stack
va_x_stack (va_upd_mem_layout va_x_memLayout (va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags
va_x_efl (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13
(va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rRsp va_x_rsp (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRdi va_x_rdi
(va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem
va_s0)))))))))))))))))))) in va_get_ok va_sM /\ (let (tmp_in:(va_int_range 0
18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64
rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ ->
va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (dst_in:(va_int_range 0
18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64
rRdx va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ ->
va_get_reg64 rR9 va_s0) (fun _ -> va_get_reg64 rRcx va_s0) in let a0 =
Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1 =
Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM) /\ (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx
va_s0) /\ (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ (win ==> va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_s0) /\ (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi
va_s0) /\ (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ (win ==> va_get_reg64
rR13 va_sM == va_get_reg64 rR13 va_s0) /\ (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14
va_s0) /\ (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ (~win ==>
va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ (~win ==> va_get_reg64 rRbp va_sM ==
va_get_reg64 rRbp va_s0) /\ (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\
(~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ (~win ==> va_get_reg64 rR15
va_sM == va_get_reg64 rR15 va_s0) /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) ==>
va_k va_sM (())))
val va_wpProof_Fmul_stdcall : win:bool -> tmp_b:buffer64 -> inA_b:buffer64 -> dst_b:buffer64 ->
inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Fmul_stdcall win tmp_b inA_b dst_b inB_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fmul_stdcall win) ([va_Mod_stackTaint;
va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15;
va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@ "opaque_to_smt" va_qattr]
let va_quick_Fmul_stdcall (win:bool) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
(inB_b:buffer64) : (va_quickCode unit (va_code_Fmul_stdcall win)) =
(va_QProc (va_code_Fmul_stdcall win) ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout;
va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp;
va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Fmul_stdcall win tmp_b inA_b dst_b
inB_b) (va_wpProof_Fmul_stdcall win tmp_b inA_b dst_b inB_b))
//--
//-- Fmul2
val va_code_Fmul2 : va_dummy:unit -> Tot va_code
val va_codegen_success_Fmul2 : va_dummy:unit -> Tot va_pbool
let va_req_Fmul2 (va_b0:va_code) (va_s0:va_state) (tmp_b:buffer64) (inA_b:buffer64)
(dst_b:buffer64) (inB_b:buffer64) : prop =
(va_require_total va_b0 (va_code_Fmul2 ()) va_s0 /\ va_get_ok va_s0 /\ (let (tmp_in:nat64) =
va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0 in let (dst_in:nat64) =
va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64 rRcx va_s0 in adx_enabled /\
bmi2_enabled /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 8 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 8 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 8
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 16 (va_get_mem_layout va_s0) Secret))
let va_ens_Fmul2 (va_b0:va_code) (va_s0:va_state) (tmp_b:buffer64) (inA_b:buffer64)
(dst_b:buffer64) (inB_b:buffer64) (va_sM:va_state) (va_fM:va_fuel) : prop =
(va_req_Fmul2 va_b0 va_s0 tmp_b inA_b dst_b inB_b /\ va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) =
va_get_reg64 rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) =
va_get_reg64 rRcx va_s0 in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in
let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let a0' = Vale.X64.Decls.buffer64_read inA_b (0 + 4) (va_get_mem va_s0) in let
a1' = Vale.X64.Decls.buffer64_read inA_b (1 + 4) (va_get_mem va_s0) in let a2' =
Vale.X64.Decls.buffer64_read inA_b (2 + 4) (va_get_mem va_s0) in let a3' =
Vale.X64.Decls.buffer64_read inA_b (3 + 4) (va_get_mem va_s0) in let b0' =
Vale.X64.Decls.buffer64_read inB_b (0 + 4) (va_get_mem va_s0) in let b1' =
Vale.X64.Decls.buffer64_read inB_b (1 + 4) (va_get_mem va_s0) in let b2' =
Vale.X64.Decls.buffer64_read inB_b (2 + 4) (va_get_mem va_s0) in let b3' =
Vale.X64.Decls.buffer64_read inB_b (3 + 4) (va_get_mem va_s0) in let a' =
Vale.Curve25519.Fast_defs.pow2_four a0' a1' a2' a3' in let b' =
Vale.Curve25519.Fast_defs.pow2_four b0' b1' b2' b3' in let d0 = Vale.X64.Decls.buffer64_read
dst_b 0 (va_get_mem va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM)
in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let d =
Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in let d0' = Vale.X64.Decls.buffer64_read dst_b
(0 + 4) (va_get_mem va_sM) in let d1' = Vale.X64.Decls.buffer64_read dst_b (1 + 4) (va_get_mem
va_sM) in let d2' = Vale.X64.Decls.buffer64_read dst_b (2 + 4) (va_get_mem va_sM) in let d3' =
Vale.X64.Decls.buffer64_read dst_b (3 + 4) (va_get_mem va_sM) in let d' =
Vale.Curve25519.Fast_defs.pow2_four d0' d1' d2' d3' in d `op_Modulus` prime == va_mul_nat a b
`op_Modulus` prime /\ d' `op_Modulus` prime == va_mul_nat a' b' `op_Modulus` prime /\
Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b (va_get_mem va_s0) (va_get_mem va_sM)) /\
va_state_eq va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags
va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))
val va_lemma_Fmul2 : va_b0:va_code -> va_s0:va_state -> tmp_b:buffer64 -> inA_b:buffer64 ->
dst_b:buffer64 -> inB_b:buffer64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Fmul2 ()) va_s0 /\ va_get_ok va_s0 /\ (let
(tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0 in let
(dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64 rRcx va_s0 in
adx_enabled /\ bmi2_enabled /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0)
(va_get_mem va_s0) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 8 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 8 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 8
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 16 (va_get_mem_layout va_s0) Secret)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0
in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64 rRcx va_s0
in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1 =
Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let a0' = Vale.X64.Decls.buffer64_read inA_b (0 + 4) (va_get_mem va_s0) in let
a1' = Vale.X64.Decls.buffer64_read inA_b (1 + 4) (va_get_mem va_s0) in let a2' =
Vale.X64.Decls.buffer64_read inA_b (2 + 4) (va_get_mem va_s0) in let a3' =
Vale.X64.Decls.buffer64_read inA_b (3 + 4) (va_get_mem va_s0) in let b0' =
Vale.X64.Decls.buffer64_read inB_b (0 + 4) (va_get_mem va_s0) in let b1' =
Vale.X64.Decls.buffer64_read inB_b (1 + 4) (va_get_mem va_s0) in let b2' =
Vale.X64.Decls.buffer64_read inB_b (2 + 4) (va_get_mem va_s0) in let b3' =
Vale.X64.Decls.buffer64_read inB_b (3 + 4) (va_get_mem va_s0) in let a' =
Vale.Curve25519.Fast_defs.pow2_four a0' a1' a2' a3' in let b' =
Vale.Curve25519.Fast_defs.pow2_four b0' b1' b2' b3' in let d0 = Vale.X64.Decls.buffer64_read
dst_b 0 (va_get_mem va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM)
in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let d =
Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in let d0' = Vale.X64.Decls.buffer64_read dst_b
(0 + 4) (va_get_mem va_sM) in let d1' = Vale.X64.Decls.buffer64_read dst_b (1 + 4) (va_get_mem
va_sM) in let d2' = Vale.X64.Decls.buffer64_read dst_b (2 + 4) (va_get_mem va_sM) in let d3' =
Vale.X64.Decls.buffer64_read dst_b (3 + 4) (va_get_mem va_sM) in let d' =
Vale.Curve25519.Fast_defs.pow2_four d0' d1' d2' d3' in d `op_Modulus` prime == va_mul_nat a b
`op_Modulus` prime /\ d' `op_Modulus` prime == va_mul_nat a' b' `op_Modulus` prime /\
Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b (va_get_mem va_s0) (va_get_mem va_sM)) /\
va_state_eq va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags
va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.State.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.QuickCodes.fsti.checked",
"Vale.X64.QuickCode.fst.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.InsStack.fsti.checked",
"Vale.X64.InsMem.fsti.checked",
"Vale.X64.InsBasic.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fsti.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Curve25519.Fast_defs.fst.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": false,
"source_file": "Vale.Curve25519.X64.FastWide.fsti"
} | [
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Curve25519.Fast_defs",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsStack",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_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": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Curve25519.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Curve25519.X64",
"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": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
tmp_b: Vale.X64.Memory.buffer64 ->
inA_b: Vale.X64.Memory.buffer64 ->
dst_b: Vale.X64.Memory.buffer64 ->
inB_b: Vale.X64.Memory.buffer64 ->
va_s0: Vale.X64.Decls.va_state ->
va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0)
-> Type0 | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.Memory.buffer64",
"Vale.X64.Decls.va_state",
"Prims.unit",
"Prims.l_and",
"Prims.b2t",
"Vale.X64.Decls.va_get_ok",
"Vale.X64.CPU_Features_s.adx_enabled",
"Vale.X64.CPU_Features_s.bmi2_enabled",
"Vale.X64.Memory.is_initial_heap",
"Vale.X64.Decls.va_get_mem_layout",
"Vale.X64.Decls.va_get_mem",
"Prims.l_or",
"Vale.X64.Decls.buffers_disjoint",
"Prims.eq2",
"Vale.X64.Decls.validDstAddrs64",
"Vale.Arch.HeapTypes_s.Secret",
"Vale.X64.Decls.validSrcAddrs64",
"Vale.Def.Words_s.nat64",
"Vale.X64.Decls.va_get_reg64",
"Vale.X64.Machine_s.rRcx",
"Vale.X64.Machine_s.rR15",
"Vale.X64.Machine_s.rRsi",
"Vale.X64.Machine_s.rRdi",
"Prims.l_Forall",
"Vale.X64.InsBasic.vale_heap",
"Vale.X64.Memory.nat64",
"Vale.X64.Flags.t",
"Vale.Arch.HeapImpl.vale_heap_layout",
"Prims.l_imp",
"Prims.int",
"Prims.op_Modulus",
"Vale.Curve25519.Fast_defs.prime",
"Vale.X64.Decls.va_mul_nat",
"Vale.X64.Decls.modifies_buffer_2",
"Prims.nat",
"Vale.Curve25519.Fast_defs.pow2_four",
"Vale.X64.Decls.buffer64_read",
"Prims.op_Addition",
"Vale.X64.State.vale_state",
"Vale.X64.Decls.va_upd_mem_layout",
"Vale.X64.Decls.va_upd_mem_heaplet",
"Vale.X64.Decls.va_upd_flags",
"Vale.X64.Decls.va_upd_reg64",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Machine_s.rR13",
"Vale.X64.Machine_s.rR11",
"Vale.X64.Machine_s.rR10",
"Vale.X64.Machine_s.rR9",
"Vale.X64.Machine_s.rR8",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Decls.va_upd_mem"
] | [] | false | false | false | true | true | let va_wp_Fmul2
(tmp_b inA_b dst_b inB_b: buffer64)
(va_s0: va_state)
(va_k: (va_state -> unit -> Type0))
: Type0 =
| (va_get_ok va_s0 /\
(let tmp_in:nat64 = va_get_reg64 rRdi va_s0 in
let inA_in:nat64 = va_get_reg64 rRsi va_s0 in
let dst_in:nat64 = va_get_reg64 rR15 va_s0 in
let inB_in:nat64 = va_get_reg64 rRcx va_s0 in
adx_enabled /\ bmi2_enabled /\
Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0)
dst_in
dst_b
8
(va_get_mem_layout va_s0)
Secret /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0)
inA_in
inA_b
8
(va_get_mem_layout va_s0)
Secret /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0)
inB_in
inB_b
8
(va_get_mem_layout va_s0)
Secret /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0)
tmp_in
tmp_b
16
(va_get_mem_layout va_s0)
Secret) /\
(forall (va_x_mem: vale_heap) (va_x_rax: nat64) (va_x_rbx: nat64) (va_x_rcx: nat64)
(va_x_rdx: nat64) (va_x_rdi: nat64) (va_x_rsi: nat64) (va_x_r8: nat64) (va_x_r9: nat64)
(va_x_r10: nat64) (va_x_r11: nat64) (va_x_r13: nat64) (va_x_r14: nat64)
(va_x_efl: Vale.X64.Flags.t) (va_x_heap0: vale_heap) (va_x_memLayout: vale_heap_layout).
let va_sM =
va_upd_mem_layout va_x_memLayout
(va_upd_mem_heaplet 0
va_x_heap0
(va_upd_flags va_x_efl
(va_upd_reg64 rR14
va_x_r14
(va_upd_reg64 rR13
va_x_r13
(va_upd_reg64 rR11
va_x_r11
(va_upd_reg64 rR10
va_x_r10
(va_upd_reg64 rR9
va_x_r9
(va_upd_reg64 rR8
va_x_r8
(va_upd_reg64 rRsi
va_x_rsi
(va_upd_reg64 rRdi
va_x_rdi
(va_upd_reg64 rRdx
va_x_rdx
(va_upd_reg64 rRcx
va_x_rcx
(va_upd_reg64 rRbx
va_x_rbx
(va_upd_reg64 rRax
va_x_rax
(va_upd_mem va_x_mem va_s0))))))))
)))))))
in
va_get_ok va_sM /\
(let tmp_in:nat64 = va_get_reg64 rRdi va_s0 in
let inA_in:nat64 = va_get_reg64 rRsi va_s0 in
let dst_in:nat64 = va_get_reg64 rR15 va_s0 in
let inB_in:nat64 = va_get_reg64 rRcx va_s0 in
let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in
let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in
let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in
let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in
let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in
let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in
let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in
let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in
let a = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in
let b = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in
let a0' = Vale.X64.Decls.buffer64_read inA_b (0 + 4) (va_get_mem va_s0) in
let a1' = Vale.X64.Decls.buffer64_read inA_b (1 + 4) (va_get_mem va_s0) in
let a2' = Vale.X64.Decls.buffer64_read inA_b (2 + 4) (va_get_mem va_s0) in
let a3' = Vale.X64.Decls.buffer64_read inA_b (3 + 4) (va_get_mem va_s0) in
let b0' = Vale.X64.Decls.buffer64_read inB_b (0 + 4) (va_get_mem va_s0) in
let b1' = Vale.X64.Decls.buffer64_read inB_b (1 + 4) (va_get_mem va_s0) in
let b2' = Vale.X64.Decls.buffer64_read inB_b (2 + 4) (va_get_mem va_s0) in
let b3' = Vale.X64.Decls.buffer64_read inB_b (3 + 4) (va_get_mem va_s0) in
let a' = Vale.Curve25519.Fast_defs.pow2_four a0' a1' a2' a3' in
let b' = Vale.Curve25519.Fast_defs.pow2_four b0' b1' b2' b3' in
let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in
let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in
let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in
let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in
let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in
let d0' = Vale.X64.Decls.buffer64_read dst_b (0 + 4) (va_get_mem va_sM) in
let d1' = Vale.X64.Decls.buffer64_read dst_b (1 + 4) (va_get_mem va_sM) in
let d2' = Vale.X64.Decls.buffer64_read dst_b (2 + 4) (va_get_mem va_sM) in
let d3' = Vale.X64.Decls.buffer64_read dst_b (3 + 4) (va_get_mem va_sM) in
let d' = Vale.Curve25519.Fast_defs.pow2_four d0' d1' d2' d3' in
d `op_Modulus` prime == (va_mul_nat a b) `op_Modulus` prime /\
d' `op_Modulus` prime == (va_mul_nat a' b') `op_Modulus` prime /\
Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b (va_get_mem va_s0) (va_get_mem va_sM)) ==>
va_k va_sM (()))) | false |
Vale.Curve25519.X64.FastWide.fsti | Vale.Curve25519.X64.FastWide.va_ens_Fmul2 | val va_ens_Fmul2
(va_b0: va_code)
(va_s0: va_state)
(tmp_b inA_b dst_b inB_b: buffer64)
(va_sM: va_state)
(va_fM: va_fuel)
: prop | val va_ens_Fmul2
(va_b0: va_code)
(va_s0: va_state)
(tmp_b inA_b dst_b inB_b: buffer64)
(va_sM: va_state)
(va_fM: va_fuel)
: prop | let va_ens_Fmul2 (va_b0:va_code) (va_s0:va_state) (tmp_b:buffer64) (inA_b:buffer64)
(dst_b:buffer64) (inB_b:buffer64) (va_sM:va_state) (va_fM:va_fuel) : prop =
(va_req_Fmul2 va_b0 va_s0 tmp_b inA_b dst_b inB_b /\ va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) =
va_get_reg64 rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) =
va_get_reg64 rRcx va_s0 in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in
let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let a0' = Vale.X64.Decls.buffer64_read inA_b (0 + 4) (va_get_mem va_s0) in let
a1' = Vale.X64.Decls.buffer64_read inA_b (1 + 4) (va_get_mem va_s0) in let a2' =
Vale.X64.Decls.buffer64_read inA_b (2 + 4) (va_get_mem va_s0) in let a3' =
Vale.X64.Decls.buffer64_read inA_b (3 + 4) (va_get_mem va_s0) in let b0' =
Vale.X64.Decls.buffer64_read inB_b (0 + 4) (va_get_mem va_s0) in let b1' =
Vale.X64.Decls.buffer64_read inB_b (1 + 4) (va_get_mem va_s0) in let b2' =
Vale.X64.Decls.buffer64_read inB_b (2 + 4) (va_get_mem va_s0) in let b3' =
Vale.X64.Decls.buffer64_read inB_b (3 + 4) (va_get_mem va_s0) in let a' =
Vale.Curve25519.Fast_defs.pow2_four a0' a1' a2' a3' in let b' =
Vale.Curve25519.Fast_defs.pow2_four b0' b1' b2' b3' in let d0 = Vale.X64.Decls.buffer64_read
dst_b 0 (va_get_mem va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM)
in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let d =
Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in let d0' = Vale.X64.Decls.buffer64_read dst_b
(0 + 4) (va_get_mem va_sM) in let d1' = Vale.X64.Decls.buffer64_read dst_b (1 + 4) (va_get_mem
va_sM) in let d2' = Vale.X64.Decls.buffer64_read dst_b (2 + 4) (va_get_mem va_sM) in let d3' =
Vale.X64.Decls.buffer64_read dst_b (3 + 4) (va_get_mem va_sM) in let d' =
Vale.Curve25519.Fast_defs.pow2_four d0' d1' d2' d3' in d `op_Modulus` prime == va_mul_nat a b
`op_Modulus` prime /\ d' `op_Modulus` prime == va_mul_nat a' b' `op_Modulus` prime /\
Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b (va_get_mem va_s0) (va_get_mem va_sM)) /\
va_state_eq va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags
va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))))))) | {
"file_name": "obj/Vale.Curve25519.X64.FastWide.fsti",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 68,
"end_line": 436,
"start_col": 0,
"start_line": 397
} | module Vale.Curve25519.X64.FastWide
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.X64.Machine_s
open Vale.X64.Memory
open Vale.X64.Stack_i
open Vale.X64.State
open Vale.X64.Decls
open Vale.X64.InsBasic
open Vale.X64.InsMem
open Vale.X64.InsStack
open Vale.X64.QuickCode
open Vale.X64.QuickCodes
open Vale.Curve25519.Fast_defs
open Vale.X64.CPU_Features_s
//-- Fmul
val va_code_Fmul : va_dummy:unit -> Tot va_code
val va_codegen_success_Fmul : va_dummy:unit -> Tot va_pbool
let va_req_Fmul (va_b0:va_code) (va_s0:va_state) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
(inB_b:buffer64) : prop =
(va_require_total va_b0 (va_code_Fmul ()) va_s0 /\ va_get_ok va_s0 /\ (let (tmp_in:nat64) =
va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0 in let (dst_in:nat64) =
va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64 rRcx va_s0 in adx_enabled /\
bmi2_enabled /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret))
let va_ens_Fmul (va_b0:va_code) (va_s0:va_state) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
(inB_b:buffer64) (va_sM:va_state) (va_fM:va_fuel) : prop =
(va_req_Fmul va_b0 va_s0 tmp_b inA_b dst_b inB_b /\ va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) =
va_get_reg64 rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) =
va_get_reg64 rRcx va_s0 in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in
let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM)) /\ va_state_eq va_sM (va_update_mem_layout va_sM
(va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsi va_sM
(va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem
va_sM va_s0))))))))))))))))))
val va_lemma_Fmul : va_b0:va_code -> va_s0:va_state -> tmp_b:buffer64 -> inA_b:buffer64 ->
dst_b:buffer64 -> inB_b:buffer64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Fmul ()) va_s0 /\ va_get_ok va_s0 /\ (let
(tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0 in let
(dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64 rRcx va_s0 in
adx_enabled /\ bmi2_enabled /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0)
(va_get_mem va_s0) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0
in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64 rRcx va_s0
in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1 =
Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM)) /\ va_state_eq va_sM (va_update_mem_layout va_sM
(va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsi va_sM
(va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem
va_sM va_s0)))))))))))))))))))
[@ va_qattr]
let va_wp_Fmul (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64) (va_s0:va_state)
(va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) =
va_get_reg64 rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) =
va_get_reg64 rRcx va_s0 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Memory.is_initial_heap
(va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/
dst_b == inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64)
(va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rdi:nat64) (va_x_rsi:nat64)
(va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64)
(va_x_r14:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap)
(va_x_memLayout:vale_heap_layout) . let va_sM = va_upd_mem_layout va_x_memLayout
(va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64
rRdi va_x_rdi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx
va_x_rbx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))))))))) in va_get_ok
va_sM /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64
rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64
rRcx va_s0 in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1 =
Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM)) ==> va_k va_sM (())))
val va_wpProof_Fmul : tmp_b:buffer64 -> inA_b:buffer64 -> dst_b:buffer64 -> inB_b:buffer64 ->
va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Fmul tmp_b inA_b dst_b inB_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fmul ()) ([va_Mod_mem_layout;
va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@ "opaque_to_smt" va_qattr]
let va_quick_Fmul (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64) :
(va_quickCode unit (va_code_Fmul ())) =
(va_QProc (va_code_Fmul ()) ([va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64
rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64
rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64
rRbx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Fmul tmp_b inA_b dst_b inB_b) (va_wpProof_Fmul
tmp_b inA_b dst_b inB_b))
//--
//-- Fmul_stdcall
val va_code_Fmul_stdcall : win:bool -> Tot va_code
val va_codegen_success_Fmul_stdcall : win:bool -> Tot va_pbool
let va_req_Fmul_stdcall (va_b0:va_code) (va_s0:va_state) (win:bool) (tmp_b:buffer64)
(inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64) : prop =
(va_require_total va_b0 (va_code_Fmul_stdcall win) va_s0 /\ va_get_ok va_s0 /\ (let
(tmp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else
va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (dst_in:(va_int_range 0
18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in
let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR9 va_s0 else
va_get_reg64 rRcx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack
va_s0) /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(adx_enabled /\ bmi2_enabled) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b ==
inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret))
let va_ens_Fmul_stdcall (va_b0:va_code) (va_s0:va_state) (win:bool) (tmp_b:buffer64)
(inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64) (va_sM:va_state) (va_fM:va_fuel) : prop =
(va_req_Fmul_stdcall va_b0 va_s0 win tmp_b inA_b dst_b inB_b /\ va_ensure_total va_b0 va_s0 va_sM
va_fM /\ va_get_ok va_sM /\ (let (tmp_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0
18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in
let (dst_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else
va_get_reg64 rRdx va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rR9 va_s0 else va_get_reg64 rRcx va_s0) in let a0 = Vale.X64.Decls.buffer64_read
inA_b 0 (va_get_mem va_s0) in let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0)
in let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM) /\ (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx
va_s0) /\ (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ (win ==> va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_s0) /\ (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi
va_s0) /\ (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ (win ==> va_get_reg64
rR13 va_sM == va_get_reg64 rR13 va_s0) /\ (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14
va_s0) /\ (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ (~win ==>
va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ (~win ==> va_get_reg64 rRbp va_sM ==
va_get_reg64 rRbp va_s0) /\ (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\
(~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ (~win ==> va_get_reg64 rR15
va_sM == va_get_reg64 rR15 va_s0) /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\
va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout
va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem
va_sM va_s0)))))))))))))))))))))))
val va_lemma_Fmul_stdcall : va_b0:va_code -> va_s0:va_state -> win:bool -> tmp_b:buffer64 ->
inA_b:buffer64 -> dst_b:buffer64 -> inB_b:buffer64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Fmul_stdcall win) va_s0 /\ va_get_ok va_s0 /\ (let
(tmp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else
va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (dst_in:(va_int_range 0
18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in
let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR9 va_s0 else
va_get_reg64 rRcx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack
va_s0) /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(adx_enabled /\ bmi2_enabled) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b ==
inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (tmp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else
va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (dst_in:(va_int_range 0
18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in
let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR9 va_s0 else
va_get_reg64 rRcx va_s0) in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in
let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM) /\ (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx
va_s0) /\ (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ (win ==> va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_s0) /\ (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi
va_s0) /\ (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ (win ==> va_get_reg64
rR13 va_sM == va_get_reg64 rR13 va_s0) /\ (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14
va_s0) /\ (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ (~win ==>
va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ (~win ==> va_get_reg64 rRbp va_sM ==
va_get_reg64 rRbp va_s0) /\ (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\
(~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ (~win ==> va_get_reg64 rR15
va_sM == va_get_reg64 rR15 va_s0) /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\
va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout
va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem
va_sM va_s0))))))))))))))))))))))))
[@ va_qattr]
let va_wp_Fmul_stdcall (win:bool) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
(inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (tmp_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ ->
va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0
18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64
rRsi va_s0) in let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ ->
va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in let (inB_in:(va_int_range 0
18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR9 va_s0) (fun _ -> va_get_reg64
rRcx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack va_s0) /\
Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (adx_enabled /\
bmi2_enabled) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64)
(va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (va_x_rdi:nat64)
(va_x_rbp:nat64) (va_x_rsp:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64)
(va_x_r11:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_efl:Vale.X64.Flags.t)
(va_x_heap0:vale_heap) (va_x_memLayout:vale_heap_layout) (va_x_stack:vale_stack)
(va_x_stackTaint:memtaint) . let va_sM = va_upd_stackTaint va_x_stackTaint (va_upd_stack
va_x_stack (va_upd_mem_layout va_x_memLayout (va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags
va_x_efl (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13
(va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rRsp va_x_rsp (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRdi va_x_rdi
(va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem
va_s0)))))))))))))))))))) in va_get_ok va_sM /\ (let (tmp_in:(va_int_range 0
18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64
rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ ->
va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (dst_in:(va_int_range 0
18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64
rRdx va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ ->
va_get_reg64 rR9 va_s0) (fun _ -> va_get_reg64 rRcx va_s0) in let a0 =
Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1 =
Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM) /\ (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx
va_s0) /\ (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ (win ==> va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_s0) /\ (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi
va_s0) /\ (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ (win ==> va_get_reg64
rR13 va_sM == va_get_reg64 rR13 va_s0) /\ (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14
va_s0) /\ (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ (~win ==>
va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ (~win ==> va_get_reg64 rRbp va_sM ==
va_get_reg64 rRbp va_s0) /\ (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\
(~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ (~win ==> va_get_reg64 rR15
va_sM == va_get_reg64 rR15 va_s0) /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) ==>
va_k va_sM (())))
val va_wpProof_Fmul_stdcall : win:bool -> tmp_b:buffer64 -> inA_b:buffer64 -> dst_b:buffer64 ->
inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Fmul_stdcall win tmp_b inA_b dst_b inB_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fmul_stdcall win) ([va_Mod_stackTaint;
va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15;
va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@ "opaque_to_smt" va_qattr]
let va_quick_Fmul_stdcall (win:bool) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
(inB_b:buffer64) : (va_quickCode unit (va_code_Fmul_stdcall win)) =
(va_QProc (va_code_Fmul_stdcall win) ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout;
va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp;
va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Fmul_stdcall win tmp_b inA_b dst_b
inB_b) (va_wpProof_Fmul_stdcall win tmp_b inA_b dst_b inB_b))
//--
//-- Fmul2
val va_code_Fmul2 : va_dummy:unit -> Tot va_code
val va_codegen_success_Fmul2 : va_dummy:unit -> Tot va_pbool
let va_req_Fmul2 (va_b0:va_code) (va_s0:va_state) (tmp_b:buffer64) (inA_b:buffer64)
(dst_b:buffer64) (inB_b:buffer64) : prop =
(va_require_total va_b0 (va_code_Fmul2 ()) va_s0 /\ va_get_ok va_s0 /\ (let (tmp_in:nat64) =
va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0 in let (dst_in:nat64) =
va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64 rRcx va_s0 in adx_enabled /\
bmi2_enabled /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 8 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 8 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 8
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in | {
"checked_file": "/",
"dependencies": [
"Vale.X64.State.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.QuickCodes.fsti.checked",
"Vale.X64.QuickCode.fst.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.InsStack.fsti.checked",
"Vale.X64.InsMem.fsti.checked",
"Vale.X64.InsBasic.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fsti.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Curve25519.Fast_defs.fst.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": false,
"source_file": "Vale.Curve25519.X64.FastWide.fsti"
} | [
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Curve25519.Fast_defs",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsStack",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_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": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Curve25519.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Curve25519.X64",
"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": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_b0: Vale.X64.Decls.va_code ->
va_s0: Vale.X64.Decls.va_state ->
tmp_b: Vale.X64.Memory.buffer64 ->
inA_b: Vale.X64.Memory.buffer64 ->
dst_b: Vale.X64.Memory.buffer64 ->
inB_b: Vale.X64.Memory.buffer64 ->
va_sM: Vale.X64.Decls.va_state ->
va_fM: Vale.X64.Decls.va_fuel
-> Prims.prop | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.Memory.buffer64",
"Vale.X64.Decls.va_fuel",
"Prims.l_and",
"Vale.Curve25519.X64.FastWide.va_req_Fmul2",
"Vale.X64.Decls.va_ensure_total",
"Prims.b2t",
"Vale.X64.Decls.va_get_ok",
"Prims.eq2",
"Prims.int",
"Prims.op_Modulus",
"Vale.Curve25519.Fast_defs.prime",
"Vale.X64.Decls.va_mul_nat",
"Vale.X64.Decls.modifies_buffer_2",
"Vale.X64.Decls.va_get_mem",
"Prims.nat",
"Vale.Curve25519.Fast_defs.pow2_four",
"Vale.Def.Words_s.nat64",
"Vale.X64.Decls.buffer64_read",
"Prims.op_Addition",
"Vale.X64.Decls.va_get_reg64",
"Vale.X64.Machine_s.rRcx",
"Vale.X64.Machine_s.rR15",
"Vale.X64.Machine_s.rRsi",
"Vale.X64.Machine_s.rRdi",
"Vale.X64.Decls.va_state_eq",
"Vale.X64.Decls.va_update_mem_layout",
"Vale.X64.Decls.va_update_mem_heaplet",
"Vale.X64.Decls.va_update_flags",
"Vale.X64.Decls.va_update_reg64",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Machine_s.rR13",
"Vale.X64.Machine_s.rR11",
"Vale.X64.Machine_s.rR10",
"Vale.X64.Machine_s.rR9",
"Vale.X64.Machine_s.rR8",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Decls.va_update_ok",
"Vale.X64.Decls.va_update_mem",
"Prims.prop"
] | [] | false | false | false | true | true | let va_ens_Fmul2
(va_b0: va_code)
(va_s0: va_state)
(tmp_b inA_b dst_b inB_b: buffer64)
(va_sM: va_state)
(va_fM: va_fuel)
: prop =
| (va_req_Fmul2 va_b0 va_s0 tmp_b inA_b dst_b inB_b /\ va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\
(let tmp_in:nat64 = va_get_reg64 rRdi va_s0 in
let inA_in:nat64 = va_get_reg64 rRsi va_s0 in
let dst_in:nat64 = va_get_reg64 rR15 va_s0 in
let inB_in:nat64 = va_get_reg64 rRcx va_s0 in
let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in
let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in
let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in
let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in
let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in
let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in
let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in
let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in
let a = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in
let b = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in
let a0' = Vale.X64.Decls.buffer64_read inA_b (0 + 4) (va_get_mem va_s0) in
let a1' = Vale.X64.Decls.buffer64_read inA_b (1 + 4) (va_get_mem va_s0) in
let a2' = Vale.X64.Decls.buffer64_read inA_b (2 + 4) (va_get_mem va_s0) in
let a3' = Vale.X64.Decls.buffer64_read inA_b (3 + 4) (va_get_mem va_s0) in
let b0' = Vale.X64.Decls.buffer64_read inB_b (0 + 4) (va_get_mem va_s0) in
let b1' = Vale.X64.Decls.buffer64_read inB_b (1 + 4) (va_get_mem va_s0) in
let b2' = Vale.X64.Decls.buffer64_read inB_b (2 + 4) (va_get_mem va_s0) in
let b3' = Vale.X64.Decls.buffer64_read inB_b (3 + 4) (va_get_mem va_s0) in
let a' = Vale.Curve25519.Fast_defs.pow2_four a0' a1' a2' a3' in
let b' = Vale.Curve25519.Fast_defs.pow2_four b0' b1' b2' b3' in
let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in
let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in
let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in
let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in
let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in
let d0' = Vale.X64.Decls.buffer64_read dst_b (0 + 4) (va_get_mem va_sM) in
let d1' = Vale.X64.Decls.buffer64_read dst_b (1 + 4) (va_get_mem va_sM) in
let d2' = Vale.X64.Decls.buffer64_read dst_b (2 + 4) (va_get_mem va_sM) in
let d3' = Vale.X64.Decls.buffer64_read dst_b (3 + 4) (va_get_mem va_sM) in
let d' = Vale.Curve25519.Fast_defs.pow2_four d0' d1' d2' d3' in
d `op_Modulus` prime == (va_mul_nat a b) `op_Modulus` prime /\
d' `op_Modulus` prime == (va_mul_nat a' b') `op_Modulus` prime /\
Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b (va_get_mem va_s0) (va_get_mem va_sM)) /\
va_state_eq va_sM
(va_update_mem_layout va_sM
(va_update_mem_heaplet 0
va_sM
(va_update_flags va_sM
(va_update_reg64 rR14
va_sM
(va_update_reg64 rR13
va_sM
(va_update_reg64 rR11
va_sM
(va_update_reg64 rR10
va_sM
(va_update_reg64 rR9
va_sM
(va_update_reg64 rR8
va_sM
(va_update_reg64 rRsi
va_sM
(va_update_reg64 rRdi
va_sM
(va_update_reg64 rRdx
va_sM
(va_update_reg64 rRcx
va_sM
(va_update_reg64 rRbx
va_sM
(va_update_reg64 rRax
va_sM
(va_update_ok va_sM
(va_update_mem va_sM va_s0))))))
)))))))))))) | false |
Vale.Curve25519.X64.FastWide.fsti | Vale.Curve25519.X64.FastWide.va_req_Fsqr | val va_req_Fsqr (va_b0: va_code) (va_s0: va_state) (tmp_b inA_b dst_b: buffer64) : prop | val va_req_Fsqr (va_b0: va_code) (va_s0: va_state) (tmp_b inA_b dst_b: buffer64) : prop | let va_req_Fsqr (va_b0:va_code) (va_s0:va_state) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
: prop =
(va_require_total va_b0 (va_code_Fsqr ()) va_s0 /\ va_get_ok va_s0 /\ (let (tmp_in:nat64) =
va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0 in let (dst_in:nat64) =
va_get_reg64 rR12 va_s0 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Memory.is_initial_heap
(va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/
dst_b == inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem
va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in tmp_b 8 (va_get_mem_layout va_s0)
Secret)) | {
"file_name": "obj/Vale.Curve25519.X64.FastWide.fsti",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 12,
"end_line": 832,
"start_col": 0,
"start_line": 821
} | module Vale.Curve25519.X64.FastWide
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.X64.Machine_s
open Vale.X64.Memory
open Vale.X64.Stack_i
open Vale.X64.State
open Vale.X64.Decls
open Vale.X64.InsBasic
open Vale.X64.InsMem
open Vale.X64.InsStack
open Vale.X64.QuickCode
open Vale.X64.QuickCodes
open Vale.Curve25519.Fast_defs
open Vale.X64.CPU_Features_s
//-- Fmul
val va_code_Fmul : va_dummy:unit -> Tot va_code
val va_codegen_success_Fmul : va_dummy:unit -> Tot va_pbool
let va_req_Fmul (va_b0:va_code) (va_s0:va_state) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
(inB_b:buffer64) : prop =
(va_require_total va_b0 (va_code_Fmul ()) va_s0 /\ va_get_ok va_s0 /\ (let (tmp_in:nat64) =
va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0 in let (dst_in:nat64) =
va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64 rRcx va_s0 in adx_enabled /\
bmi2_enabled /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret))
let va_ens_Fmul (va_b0:va_code) (va_s0:va_state) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
(inB_b:buffer64) (va_sM:va_state) (va_fM:va_fuel) : prop =
(va_req_Fmul va_b0 va_s0 tmp_b inA_b dst_b inB_b /\ va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) =
va_get_reg64 rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) =
va_get_reg64 rRcx va_s0 in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in
let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM)) /\ va_state_eq va_sM (va_update_mem_layout va_sM
(va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsi va_sM
(va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem
va_sM va_s0))))))))))))))))))
val va_lemma_Fmul : va_b0:va_code -> va_s0:va_state -> tmp_b:buffer64 -> inA_b:buffer64 ->
dst_b:buffer64 -> inB_b:buffer64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Fmul ()) va_s0 /\ va_get_ok va_s0 /\ (let
(tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0 in let
(dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64 rRcx va_s0 in
adx_enabled /\ bmi2_enabled /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0)
(va_get_mem va_s0) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0
in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64 rRcx va_s0
in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1 =
Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM)) /\ va_state_eq va_sM (va_update_mem_layout va_sM
(va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsi va_sM
(va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem
va_sM va_s0)))))))))))))))))))
[@ va_qattr]
let va_wp_Fmul (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64) (va_s0:va_state)
(va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) =
va_get_reg64 rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) =
va_get_reg64 rRcx va_s0 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Memory.is_initial_heap
(va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/
dst_b == inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64)
(va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rdi:nat64) (va_x_rsi:nat64)
(va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64)
(va_x_r14:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap)
(va_x_memLayout:vale_heap_layout) . let va_sM = va_upd_mem_layout va_x_memLayout
(va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64
rRdi va_x_rdi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx
va_x_rbx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))))))))) in va_get_ok
va_sM /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64
rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64
rRcx va_s0 in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1 =
Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM)) ==> va_k va_sM (())))
val va_wpProof_Fmul : tmp_b:buffer64 -> inA_b:buffer64 -> dst_b:buffer64 -> inB_b:buffer64 ->
va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Fmul tmp_b inA_b dst_b inB_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fmul ()) ([va_Mod_mem_layout;
va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@ "opaque_to_smt" va_qattr]
let va_quick_Fmul (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64) :
(va_quickCode unit (va_code_Fmul ())) =
(va_QProc (va_code_Fmul ()) ([va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64
rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64
rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64
rRbx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Fmul tmp_b inA_b dst_b inB_b) (va_wpProof_Fmul
tmp_b inA_b dst_b inB_b))
//--
//-- Fmul_stdcall
val va_code_Fmul_stdcall : win:bool -> Tot va_code
val va_codegen_success_Fmul_stdcall : win:bool -> Tot va_pbool
let va_req_Fmul_stdcall (va_b0:va_code) (va_s0:va_state) (win:bool) (tmp_b:buffer64)
(inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64) : prop =
(va_require_total va_b0 (va_code_Fmul_stdcall win) va_s0 /\ va_get_ok va_s0 /\ (let
(tmp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else
va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (dst_in:(va_int_range 0
18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in
let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR9 va_s0 else
va_get_reg64 rRcx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack
va_s0) /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(adx_enabled /\ bmi2_enabled) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b ==
inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret))
let va_ens_Fmul_stdcall (va_b0:va_code) (va_s0:va_state) (win:bool) (tmp_b:buffer64)
(inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64) (va_sM:va_state) (va_fM:va_fuel) : prop =
(va_req_Fmul_stdcall va_b0 va_s0 win tmp_b inA_b dst_b inB_b /\ va_ensure_total va_b0 va_s0 va_sM
va_fM /\ va_get_ok va_sM /\ (let (tmp_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0
18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in
let (dst_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else
va_get_reg64 rRdx va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rR9 va_s0 else va_get_reg64 rRcx va_s0) in let a0 = Vale.X64.Decls.buffer64_read
inA_b 0 (va_get_mem va_s0) in let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0)
in let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM) /\ (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx
va_s0) /\ (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ (win ==> va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_s0) /\ (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi
va_s0) /\ (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ (win ==> va_get_reg64
rR13 va_sM == va_get_reg64 rR13 va_s0) /\ (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14
va_s0) /\ (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ (~win ==>
va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ (~win ==> va_get_reg64 rRbp va_sM ==
va_get_reg64 rRbp va_s0) /\ (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\
(~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ (~win ==> va_get_reg64 rR15
va_sM == va_get_reg64 rR15 va_s0) /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\
va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout
va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem
va_sM va_s0)))))))))))))))))))))))
val va_lemma_Fmul_stdcall : va_b0:va_code -> va_s0:va_state -> win:bool -> tmp_b:buffer64 ->
inA_b:buffer64 -> dst_b:buffer64 -> inB_b:buffer64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Fmul_stdcall win) va_s0 /\ va_get_ok va_s0 /\ (let
(tmp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else
va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (dst_in:(va_int_range 0
18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in
let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR9 va_s0 else
va_get_reg64 rRcx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack
va_s0) /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(adx_enabled /\ bmi2_enabled) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b ==
inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (tmp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else
va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (dst_in:(va_int_range 0
18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in
let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR9 va_s0 else
va_get_reg64 rRcx va_s0) in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in
let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM) /\ (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx
va_s0) /\ (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ (win ==> va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_s0) /\ (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi
va_s0) /\ (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ (win ==> va_get_reg64
rR13 va_sM == va_get_reg64 rR13 va_s0) /\ (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14
va_s0) /\ (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ (~win ==>
va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ (~win ==> va_get_reg64 rRbp va_sM ==
va_get_reg64 rRbp va_s0) /\ (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\
(~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ (~win ==> va_get_reg64 rR15
va_sM == va_get_reg64 rR15 va_s0) /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\
va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout
va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem
va_sM va_s0))))))))))))))))))))))))
[@ va_qattr]
let va_wp_Fmul_stdcall (win:bool) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
(inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (tmp_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ ->
va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0
18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64
rRsi va_s0) in let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ ->
va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in let (inB_in:(va_int_range 0
18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR9 va_s0) (fun _ -> va_get_reg64
rRcx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack va_s0) /\
Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (adx_enabled /\
bmi2_enabled) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64)
(va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (va_x_rdi:nat64)
(va_x_rbp:nat64) (va_x_rsp:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64)
(va_x_r11:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_efl:Vale.X64.Flags.t)
(va_x_heap0:vale_heap) (va_x_memLayout:vale_heap_layout) (va_x_stack:vale_stack)
(va_x_stackTaint:memtaint) . let va_sM = va_upd_stackTaint va_x_stackTaint (va_upd_stack
va_x_stack (va_upd_mem_layout va_x_memLayout (va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags
va_x_efl (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13
(va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rRsp va_x_rsp (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRdi va_x_rdi
(va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem
va_s0)))))))))))))))))))) in va_get_ok va_sM /\ (let (tmp_in:(va_int_range 0
18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64
rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ ->
va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (dst_in:(va_int_range 0
18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64
rRdx va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ ->
va_get_reg64 rR9 va_s0) (fun _ -> va_get_reg64 rRcx va_s0) in let a0 =
Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1 =
Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM) /\ (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx
va_s0) /\ (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ (win ==> va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_s0) /\ (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi
va_s0) /\ (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ (win ==> va_get_reg64
rR13 va_sM == va_get_reg64 rR13 va_s0) /\ (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14
va_s0) /\ (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ (~win ==>
va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ (~win ==> va_get_reg64 rRbp va_sM ==
va_get_reg64 rRbp va_s0) /\ (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\
(~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ (~win ==> va_get_reg64 rR15
va_sM == va_get_reg64 rR15 va_s0) /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) ==>
va_k va_sM (())))
val va_wpProof_Fmul_stdcall : win:bool -> tmp_b:buffer64 -> inA_b:buffer64 -> dst_b:buffer64 ->
inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Fmul_stdcall win tmp_b inA_b dst_b inB_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fmul_stdcall win) ([va_Mod_stackTaint;
va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15;
va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@ "opaque_to_smt" va_qattr]
let va_quick_Fmul_stdcall (win:bool) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
(inB_b:buffer64) : (va_quickCode unit (va_code_Fmul_stdcall win)) =
(va_QProc (va_code_Fmul_stdcall win) ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout;
va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp;
va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Fmul_stdcall win tmp_b inA_b dst_b
inB_b) (va_wpProof_Fmul_stdcall win tmp_b inA_b dst_b inB_b))
//--
//-- Fmul2
val va_code_Fmul2 : va_dummy:unit -> Tot va_code
val va_codegen_success_Fmul2 : va_dummy:unit -> Tot va_pbool
let va_req_Fmul2 (va_b0:va_code) (va_s0:va_state) (tmp_b:buffer64) (inA_b:buffer64)
(dst_b:buffer64) (inB_b:buffer64) : prop =
(va_require_total va_b0 (va_code_Fmul2 ()) va_s0 /\ va_get_ok va_s0 /\ (let (tmp_in:nat64) =
va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0 in let (dst_in:nat64) =
va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64 rRcx va_s0 in adx_enabled /\
bmi2_enabled /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 8 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 8 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 8
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 16 (va_get_mem_layout va_s0) Secret))
let va_ens_Fmul2 (va_b0:va_code) (va_s0:va_state) (tmp_b:buffer64) (inA_b:buffer64)
(dst_b:buffer64) (inB_b:buffer64) (va_sM:va_state) (va_fM:va_fuel) : prop =
(va_req_Fmul2 va_b0 va_s0 tmp_b inA_b dst_b inB_b /\ va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) =
va_get_reg64 rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) =
va_get_reg64 rRcx va_s0 in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in
let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let a0' = Vale.X64.Decls.buffer64_read inA_b (0 + 4) (va_get_mem va_s0) in let
a1' = Vale.X64.Decls.buffer64_read inA_b (1 + 4) (va_get_mem va_s0) in let a2' =
Vale.X64.Decls.buffer64_read inA_b (2 + 4) (va_get_mem va_s0) in let a3' =
Vale.X64.Decls.buffer64_read inA_b (3 + 4) (va_get_mem va_s0) in let b0' =
Vale.X64.Decls.buffer64_read inB_b (0 + 4) (va_get_mem va_s0) in let b1' =
Vale.X64.Decls.buffer64_read inB_b (1 + 4) (va_get_mem va_s0) in let b2' =
Vale.X64.Decls.buffer64_read inB_b (2 + 4) (va_get_mem va_s0) in let b3' =
Vale.X64.Decls.buffer64_read inB_b (3 + 4) (va_get_mem va_s0) in let a' =
Vale.Curve25519.Fast_defs.pow2_four a0' a1' a2' a3' in let b' =
Vale.Curve25519.Fast_defs.pow2_four b0' b1' b2' b3' in let d0 = Vale.X64.Decls.buffer64_read
dst_b 0 (va_get_mem va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM)
in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let d =
Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in let d0' = Vale.X64.Decls.buffer64_read dst_b
(0 + 4) (va_get_mem va_sM) in let d1' = Vale.X64.Decls.buffer64_read dst_b (1 + 4) (va_get_mem
va_sM) in let d2' = Vale.X64.Decls.buffer64_read dst_b (2 + 4) (va_get_mem va_sM) in let d3' =
Vale.X64.Decls.buffer64_read dst_b (3 + 4) (va_get_mem va_sM) in let d' =
Vale.Curve25519.Fast_defs.pow2_four d0' d1' d2' d3' in d `op_Modulus` prime == va_mul_nat a b
`op_Modulus` prime /\ d' `op_Modulus` prime == va_mul_nat a' b' `op_Modulus` prime /\
Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b (va_get_mem va_s0) (va_get_mem va_sM)) /\
va_state_eq va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags
va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))
val va_lemma_Fmul2 : va_b0:va_code -> va_s0:va_state -> tmp_b:buffer64 -> inA_b:buffer64 ->
dst_b:buffer64 -> inB_b:buffer64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Fmul2 ()) va_s0 /\ va_get_ok va_s0 /\ (let
(tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0 in let
(dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64 rRcx va_s0 in
adx_enabled /\ bmi2_enabled /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0)
(va_get_mem va_s0) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 8 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 8 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 8
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 16 (va_get_mem_layout va_s0) Secret)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0
in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64 rRcx va_s0
in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1 =
Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let a0' = Vale.X64.Decls.buffer64_read inA_b (0 + 4) (va_get_mem va_s0) in let
a1' = Vale.X64.Decls.buffer64_read inA_b (1 + 4) (va_get_mem va_s0) in let a2' =
Vale.X64.Decls.buffer64_read inA_b (2 + 4) (va_get_mem va_s0) in let a3' =
Vale.X64.Decls.buffer64_read inA_b (3 + 4) (va_get_mem va_s0) in let b0' =
Vale.X64.Decls.buffer64_read inB_b (0 + 4) (va_get_mem va_s0) in let b1' =
Vale.X64.Decls.buffer64_read inB_b (1 + 4) (va_get_mem va_s0) in let b2' =
Vale.X64.Decls.buffer64_read inB_b (2 + 4) (va_get_mem va_s0) in let b3' =
Vale.X64.Decls.buffer64_read inB_b (3 + 4) (va_get_mem va_s0) in let a' =
Vale.Curve25519.Fast_defs.pow2_four a0' a1' a2' a3' in let b' =
Vale.Curve25519.Fast_defs.pow2_four b0' b1' b2' b3' in let d0 = Vale.X64.Decls.buffer64_read
dst_b 0 (va_get_mem va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM)
in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let d =
Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in let d0' = Vale.X64.Decls.buffer64_read dst_b
(0 + 4) (va_get_mem va_sM) in let d1' = Vale.X64.Decls.buffer64_read dst_b (1 + 4) (va_get_mem
va_sM) in let d2' = Vale.X64.Decls.buffer64_read dst_b (2 + 4) (va_get_mem va_sM) in let d3' =
Vale.X64.Decls.buffer64_read dst_b (3 + 4) (va_get_mem va_sM) in let d' =
Vale.Curve25519.Fast_defs.pow2_four d0' d1' d2' d3' in d `op_Modulus` prime == va_mul_nat a b
`op_Modulus` prime /\ d' `op_Modulus` prime == va_mul_nat a' b' `op_Modulus` prime /\
Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b (va_get_mem va_s0) (va_get_mem va_sM)) /\
va_state_eq va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags
va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))))))))
[@ va_qattr]
let va_wp_Fmul2 (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64)
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) =
va_get_reg64 rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) =
va_get_reg64 rRcx va_s0 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Memory.is_initial_heap
(va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/
dst_b == inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 8 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 8 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 8
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 16 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64)
(va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rdi:nat64) (va_x_rsi:nat64)
(va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64)
(va_x_r14:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap)
(va_x_memLayout:vale_heap_layout) . let va_sM = va_upd_mem_layout va_x_memLayout
(va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64
rRdi va_x_rdi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx
va_x_rbx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))))))))) in va_get_ok
va_sM /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64
rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64
rRcx va_s0 in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1 =
Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let a0' = Vale.X64.Decls.buffer64_read inA_b (0 + 4) (va_get_mem va_s0) in let
a1' = Vale.X64.Decls.buffer64_read inA_b (1 + 4) (va_get_mem va_s0) in let a2' =
Vale.X64.Decls.buffer64_read inA_b (2 + 4) (va_get_mem va_s0) in let a3' =
Vale.X64.Decls.buffer64_read inA_b (3 + 4) (va_get_mem va_s0) in let b0' =
Vale.X64.Decls.buffer64_read inB_b (0 + 4) (va_get_mem va_s0) in let b1' =
Vale.X64.Decls.buffer64_read inB_b (1 + 4) (va_get_mem va_s0) in let b2' =
Vale.X64.Decls.buffer64_read inB_b (2 + 4) (va_get_mem va_s0) in let b3' =
Vale.X64.Decls.buffer64_read inB_b (3 + 4) (va_get_mem va_s0) in let a' =
Vale.Curve25519.Fast_defs.pow2_four a0' a1' a2' a3' in let b' =
Vale.Curve25519.Fast_defs.pow2_four b0' b1' b2' b3' in let d0 = Vale.X64.Decls.buffer64_read
dst_b 0 (va_get_mem va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM)
in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let d =
Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in let d0' = Vale.X64.Decls.buffer64_read dst_b
(0 + 4) (va_get_mem va_sM) in let d1' = Vale.X64.Decls.buffer64_read dst_b (1 + 4) (va_get_mem
va_sM) in let d2' = Vale.X64.Decls.buffer64_read dst_b (2 + 4) (va_get_mem va_sM) in let d3' =
Vale.X64.Decls.buffer64_read dst_b (3 + 4) (va_get_mem va_sM) in let d' =
Vale.Curve25519.Fast_defs.pow2_four d0' d1' d2' d3' in d `op_Modulus` prime == va_mul_nat a b
`op_Modulus` prime /\ d' `op_Modulus` prime == va_mul_nat a' b' `op_Modulus` prime /\
Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b (va_get_mem va_s0) (va_get_mem va_sM)) ==> va_k
va_sM (())))
val va_wpProof_Fmul2 : tmp_b:buffer64 -> inA_b:buffer64 -> dst_b:buffer64 -> inB_b:buffer64 ->
va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Fmul2 tmp_b inA_b dst_b inB_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fmul2 ()) ([va_Mod_mem_layout;
va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@ "opaque_to_smt" va_qattr]
let va_quick_Fmul2 (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64) :
(va_quickCode unit (va_code_Fmul2 ())) =
(va_QProc (va_code_Fmul2 ()) ([va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags;
va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Fmul2 tmp_b inA_b dst_b inB_b)
(va_wpProof_Fmul2 tmp_b inA_b dst_b inB_b))
//--
//-- Fmul2_stdcall
val va_code_Fmul2_stdcall : win:bool -> Tot va_code
val va_codegen_success_Fmul2_stdcall : win:bool -> Tot va_pbool
let va_req_Fmul2_stdcall (va_b0:va_code) (va_s0:va_state) (win:bool) (tmp_b:buffer64)
(inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64) : prop =
(va_require_total va_b0 (va_code_Fmul2_stdcall win) va_s0 /\ va_get_ok va_s0 /\ (let
(tmp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else
va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (dst_in:(va_int_range 0
18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in
let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR9 va_s0 else
va_get_reg64 rRcx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack
va_s0) /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(adx_enabled /\ bmi2_enabled) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b ==
inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 8 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 8 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 8
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 16 (va_get_mem_layout va_s0) Secret))
let va_ens_Fmul2_stdcall (va_b0:va_code) (va_s0:va_state) (win:bool) (tmp_b:buffer64)
(inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64) (va_sM:va_state) (va_fM:va_fuel) : prop =
(va_req_Fmul2_stdcall va_b0 va_s0 win tmp_b inA_b dst_b inB_b /\ va_ensure_total va_b0 va_s0
va_sM va_fM /\ va_get_ok va_sM /\ (let (tmp_in:(va_int_range 0 18446744073709551615)) = (if win
then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0
18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in
let (dst_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else
va_get_reg64 rRdx va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rR9 va_s0 else va_get_reg64 rRcx va_s0) in let a0 = Vale.X64.Decls.buffer64_read
inA_b 0 (va_get_mem va_s0) in let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0)
in let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let a0' = Vale.X64.Decls.buffer64_read inA_b (0 + 4) (va_get_mem va_s0) in let
a1' = Vale.X64.Decls.buffer64_read inA_b (1 + 4) (va_get_mem va_s0) in let a2' =
Vale.X64.Decls.buffer64_read inA_b (2 + 4) (va_get_mem va_s0) in let a3' =
Vale.X64.Decls.buffer64_read inA_b (3 + 4) (va_get_mem va_s0) in let b0' =
Vale.X64.Decls.buffer64_read inB_b (0 + 4) (va_get_mem va_s0) in let b1' =
Vale.X64.Decls.buffer64_read inB_b (1 + 4) (va_get_mem va_s0) in let b2' =
Vale.X64.Decls.buffer64_read inB_b (2 + 4) (va_get_mem va_s0) in let b3' =
Vale.X64.Decls.buffer64_read inB_b (3 + 4) (va_get_mem va_s0) in let a' =
Vale.Curve25519.Fast_defs.pow2_four a0' a1' a2' a3' in let b' =
Vale.Curve25519.Fast_defs.pow2_four b0' b1' b2' b3' in let d0 = Vale.X64.Decls.buffer64_read
dst_b 0 (va_get_mem va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM)
in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let d =
Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in let d0' = Vale.X64.Decls.buffer64_read dst_b
(0 + 4) (va_get_mem va_sM) in let d1' = Vale.X64.Decls.buffer64_read dst_b (1 + 4) (va_get_mem
va_sM) in let d2' = Vale.X64.Decls.buffer64_read dst_b (2 + 4) (va_get_mem va_sM) in let d3' =
Vale.X64.Decls.buffer64_read dst_b (3 + 4) (va_get_mem va_sM) in let d' =
Vale.Curve25519.Fast_defs.pow2_four d0' d1' d2' d3' in d `op_Modulus` prime == va_mul_nat a b
`op_Modulus` prime /\ d' `op_Modulus` prime == va_mul_nat a' b' `op_Modulus` prime /\
Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (win ==>
va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ (win ==> va_get_reg64 rRbp va_sM ==
va_get_reg64 rRbp va_s0) /\ (win ==> va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\
(win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0) /\ (win ==> va_get_reg64 rRsp
va_sM == va_get_reg64 rRsp va_s0) /\ (win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13
va_s0) /\ (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ (win ==> va_get_reg64
rR15 va_sM == va_get_reg64 rR15 va_s0) /\ (~win ==> va_get_reg64 rRbx va_sM == va_get_reg64
rRbx va_s0) /\ (~win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ (~win ==>
va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ (~win ==> va_get_reg64 rR14 va_sM ==
va_get_reg64 rR14 va_s0) /\ (~win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\
va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ va_state_eq va_sM (va_update_stackTaint
va_sM (va_update_stack va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM
(va_update_flags va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64
rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM
(va_update_reg64 rRdi va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))))))))))))
val va_lemma_Fmul2_stdcall : va_b0:va_code -> va_s0:va_state -> win:bool -> tmp_b:buffer64 ->
inA_b:buffer64 -> dst_b:buffer64 -> inB_b:buffer64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Fmul2_stdcall win) va_s0 /\ va_get_ok va_s0 /\ (let
(tmp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else
va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (dst_in:(va_int_range 0
18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in
let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR9 va_s0 else
va_get_reg64 rRcx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack
va_s0) /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(adx_enabled /\ bmi2_enabled) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b ==
inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 8 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 8 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 8
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 16 (va_get_mem_layout va_s0) Secret)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (tmp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else
va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (dst_in:(va_int_range 0
18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in
let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR9 va_s0 else
va_get_reg64 rRcx va_s0) in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in
let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let a0' = Vale.X64.Decls.buffer64_read inA_b (0 + 4) (va_get_mem va_s0) in let
a1' = Vale.X64.Decls.buffer64_read inA_b (1 + 4) (va_get_mem va_s0) in let a2' =
Vale.X64.Decls.buffer64_read inA_b (2 + 4) (va_get_mem va_s0) in let a3' =
Vale.X64.Decls.buffer64_read inA_b (3 + 4) (va_get_mem va_s0) in let b0' =
Vale.X64.Decls.buffer64_read inB_b (0 + 4) (va_get_mem va_s0) in let b1' =
Vale.X64.Decls.buffer64_read inB_b (1 + 4) (va_get_mem va_s0) in let b2' =
Vale.X64.Decls.buffer64_read inB_b (2 + 4) (va_get_mem va_s0) in let b3' =
Vale.X64.Decls.buffer64_read inB_b (3 + 4) (va_get_mem va_s0) in let a' =
Vale.Curve25519.Fast_defs.pow2_four a0' a1' a2' a3' in let b' =
Vale.Curve25519.Fast_defs.pow2_four b0' b1' b2' b3' in let d0 = Vale.X64.Decls.buffer64_read
dst_b 0 (va_get_mem va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM)
in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let d =
Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in let d0' = Vale.X64.Decls.buffer64_read dst_b
(0 + 4) (va_get_mem va_sM) in let d1' = Vale.X64.Decls.buffer64_read dst_b (1 + 4) (va_get_mem
va_sM) in let d2' = Vale.X64.Decls.buffer64_read dst_b (2 + 4) (va_get_mem va_sM) in let d3' =
Vale.X64.Decls.buffer64_read dst_b (3 + 4) (va_get_mem va_sM) in let d' =
Vale.Curve25519.Fast_defs.pow2_four d0' d1' d2' d3' in d `op_Modulus` prime == va_mul_nat a b
`op_Modulus` prime /\ d' `op_Modulus` prime == va_mul_nat a' b' `op_Modulus` prime /\
Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (win ==>
va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ (win ==> va_get_reg64 rRbp va_sM ==
va_get_reg64 rRbp va_s0) /\ (win ==> va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\
(win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0) /\ (win ==> va_get_reg64 rRsp
va_sM == va_get_reg64 rRsp va_s0) /\ (win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13
va_s0) /\ (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ (win ==> va_get_reg64
rR15 va_sM == va_get_reg64 rR15 va_s0) /\ (~win ==> va_get_reg64 rRbx va_sM == va_get_reg64
rRbx va_s0) /\ (~win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ (~win ==>
va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ (~win ==> va_get_reg64 rR14 va_sM ==
va_get_reg64 rR14 va_s0) /\ (~win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\
va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ va_state_eq va_sM (va_update_stackTaint
va_sM (va_update_stack va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM
(va_update_flags va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64
rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM
(va_update_reg64 rRdi va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))))
[@ va_qattr]
let va_wp_Fmul2_stdcall (win:bool) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
(inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (tmp_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ ->
va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0
18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64
rRsi va_s0) in let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ ->
va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in let (inB_in:(va_int_range 0
18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR9 va_s0) (fun _ -> va_get_reg64
rRcx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack va_s0) /\
Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (adx_enabled /\
bmi2_enabled) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 8 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 8 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 8
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 16 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64)
(va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (va_x_rdi:nat64)
(va_x_rbp:nat64) (va_x_rsp:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64)
(va_x_r11:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_efl:Vale.X64.Flags.t)
(va_x_heap0:vale_heap) (va_x_memLayout:vale_heap_layout) (va_x_stack:vale_stack)
(va_x_stackTaint:memtaint) . let va_sM = va_upd_stackTaint va_x_stackTaint (va_upd_stack
va_x_stack (va_upd_mem_layout va_x_memLayout (va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags
va_x_efl (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13
(va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rRsp va_x_rsp (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRdi va_x_rdi
(va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem
va_s0)))))))))))))))))))) in va_get_ok va_sM /\ (let (tmp_in:(va_int_range 0
18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64
rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ ->
va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (dst_in:(va_int_range 0
18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64
rRdx va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ ->
va_get_reg64 rR9 va_s0) (fun _ -> va_get_reg64 rRcx va_s0) in let a0 =
Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1 =
Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let a0' = Vale.X64.Decls.buffer64_read inA_b (0 + 4) (va_get_mem va_s0) in let
a1' = Vale.X64.Decls.buffer64_read inA_b (1 + 4) (va_get_mem va_s0) in let a2' =
Vale.X64.Decls.buffer64_read inA_b (2 + 4) (va_get_mem va_s0) in let a3' =
Vale.X64.Decls.buffer64_read inA_b (3 + 4) (va_get_mem va_s0) in let b0' =
Vale.X64.Decls.buffer64_read inB_b (0 + 4) (va_get_mem va_s0) in let b1' =
Vale.X64.Decls.buffer64_read inB_b (1 + 4) (va_get_mem va_s0) in let b2' =
Vale.X64.Decls.buffer64_read inB_b (2 + 4) (va_get_mem va_s0) in let b3' =
Vale.X64.Decls.buffer64_read inB_b (3 + 4) (va_get_mem va_s0) in let a' =
Vale.Curve25519.Fast_defs.pow2_four a0' a1' a2' a3' in let b' =
Vale.Curve25519.Fast_defs.pow2_four b0' b1' b2' b3' in let d0 = Vale.X64.Decls.buffer64_read
dst_b 0 (va_get_mem va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM)
in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let d =
Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in let d0' = Vale.X64.Decls.buffer64_read dst_b
(0 + 4) (va_get_mem va_sM) in let d1' = Vale.X64.Decls.buffer64_read dst_b (1 + 4) (va_get_mem
va_sM) in let d2' = Vale.X64.Decls.buffer64_read dst_b (2 + 4) (va_get_mem va_sM) in let d3' =
Vale.X64.Decls.buffer64_read dst_b (3 + 4) (va_get_mem va_sM) in let d' =
Vale.Curve25519.Fast_defs.pow2_four d0' d1' d2' d3' in d `op_Modulus` prime == va_mul_nat a b
`op_Modulus` prime /\ d' `op_Modulus` prime == va_mul_nat a' b' `op_Modulus` prime /\
Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (win ==>
va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ (win ==> va_get_reg64 rRbp va_sM ==
va_get_reg64 rRbp va_s0) /\ (win ==> va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\
(win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0) /\ (win ==> va_get_reg64 rRsp
va_sM == va_get_reg64 rRsp va_s0) /\ (win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13
va_s0) /\ (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ (win ==> va_get_reg64
rR15 va_sM == va_get_reg64 rR15 va_s0) /\ (~win ==> va_get_reg64 rRbx va_sM == va_get_reg64
rRbx va_s0) /\ (~win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ (~win ==>
va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ (~win ==> va_get_reg64 rR14 va_sM ==
va_get_reg64 rR14 va_s0) /\ (~win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\
va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) ==> va_k va_sM (())))
val va_wpProof_Fmul2_stdcall : win:bool -> tmp_b:buffer64 -> inA_b:buffer64 -> dst_b:buffer64 ->
inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Fmul2_stdcall win tmp_b inA_b dst_b inB_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fmul2_stdcall win)
([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags;
va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10;
va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi;
va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax;
va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@ "opaque_to_smt" va_qattr]
let va_quick_Fmul2_stdcall (win:bool) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
(inB_b:buffer64) : (va_quickCode unit (va_code_Fmul2_stdcall win)) =
(va_QProc (va_code_Fmul2_stdcall win) ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout;
va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp;
va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Fmul2_stdcall win tmp_b inA_b dst_b
inB_b) (va_wpProof_Fmul2_stdcall win tmp_b inA_b dst_b inB_b))
//--
//-- Fsqr
val va_code_Fsqr : va_dummy:unit -> Tot va_code | {
"checked_file": "/",
"dependencies": [
"Vale.X64.State.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.QuickCodes.fsti.checked",
"Vale.X64.QuickCode.fst.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.InsStack.fsti.checked",
"Vale.X64.InsMem.fsti.checked",
"Vale.X64.InsBasic.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fsti.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Curve25519.Fast_defs.fst.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": false,
"source_file": "Vale.Curve25519.X64.FastWide.fsti"
} | [
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Curve25519.Fast_defs",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsStack",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_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": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Curve25519.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Curve25519.X64",
"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": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_b0: Vale.X64.Decls.va_code ->
va_s0: Vale.X64.Decls.va_state ->
tmp_b: Vale.X64.Memory.buffer64 ->
inA_b: Vale.X64.Memory.buffer64 ->
dst_b: Vale.X64.Memory.buffer64
-> Prims.prop | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.Memory.buffer64",
"Prims.l_and",
"Vale.X64.Decls.va_require_total",
"Vale.Curve25519.X64.FastWide.va_code_Fsqr",
"Prims.b2t",
"Vale.X64.Decls.va_get_ok",
"Vale.X64.CPU_Features_s.adx_enabled",
"Vale.X64.CPU_Features_s.bmi2_enabled",
"Vale.X64.Memory.is_initial_heap",
"Vale.X64.Decls.va_get_mem_layout",
"Vale.X64.Decls.va_get_mem",
"Prims.l_or",
"Vale.X64.Decls.buffers_disjoint",
"Prims.eq2",
"Vale.X64.Decls.validDstAddrs64",
"Vale.Arch.HeapTypes_s.Secret",
"Vale.X64.Decls.validSrcAddrs64",
"Vale.Def.Words_s.nat64",
"Vale.X64.Decls.va_get_reg64",
"Vale.X64.Machine_s.rR12",
"Vale.X64.Machine_s.rRsi",
"Vale.X64.Machine_s.rRdi",
"Prims.prop"
] | [] | false | false | false | true | true | let va_req_Fsqr (va_b0: va_code) (va_s0: va_state) (tmp_b inA_b dst_b: buffer64) : prop =
| (va_require_total va_b0 (va_code_Fsqr ()) va_s0 /\ va_get_ok va_s0 /\
(let tmp_in:nat64 = va_get_reg64 rRdi va_s0 in
let inA_in:nat64 = va_get_reg64 rRsi va_s0 in
let dst_in:nat64 = va_get_reg64 rR12 va_s0 in
adx_enabled /\ bmi2_enabled /\
Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0)
dst_in
dst_b
4
(va_get_mem_layout va_s0)
Secret /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0)
inA_in
inA_b
4
(va_get_mem_layout va_s0)
Secret /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0)
tmp_in
tmp_b
8
(va_get_mem_layout va_s0)
Secret)) | false |
Vale.Curve25519.X64.FastWide.fsti | Vale.Curve25519.X64.FastWide.va_req_Fmul2 | val va_req_Fmul2 (va_b0: va_code) (va_s0: va_state) (tmp_b inA_b dst_b inB_b: buffer64) : prop | val va_req_Fmul2 (va_b0: va_code) (va_s0: va_state) (tmp_b inA_b dst_b inB_b: buffer64) : prop | let va_req_Fmul2 (va_b0:va_code) (va_s0:va_state) (tmp_b:buffer64) (inA_b:buffer64)
(dst_b:buffer64) (inB_b:buffer64) : prop =
(va_require_total va_b0 (va_code_Fmul2 ()) va_s0 /\ va_get_ok va_s0 /\ (let (tmp_in:nat64) =
va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0 in let (dst_in:nat64) =
va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64 rRcx va_s0 in adx_enabled /\
bmi2_enabled /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 8 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 8 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 8
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 16 (va_get_mem_layout va_s0) Secret)) | {
"file_name": "obj/Vale.Curve25519.X64.FastWide.fsti",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 47,
"end_line": 396,
"start_col": 0,
"start_line": 382
} | module Vale.Curve25519.X64.FastWide
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.X64.Machine_s
open Vale.X64.Memory
open Vale.X64.Stack_i
open Vale.X64.State
open Vale.X64.Decls
open Vale.X64.InsBasic
open Vale.X64.InsMem
open Vale.X64.InsStack
open Vale.X64.QuickCode
open Vale.X64.QuickCodes
open Vale.Curve25519.Fast_defs
open Vale.X64.CPU_Features_s
//-- Fmul
val va_code_Fmul : va_dummy:unit -> Tot va_code
val va_codegen_success_Fmul : va_dummy:unit -> Tot va_pbool
let va_req_Fmul (va_b0:va_code) (va_s0:va_state) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
(inB_b:buffer64) : prop =
(va_require_total va_b0 (va_code_Fmul ()) va_s0 /\ va_get_ok va_s0 /\ (let (tmp_in:nat64) =
va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0 in let (dst_in:nat64) =
va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64 rRcx va_s0 in adx_enabled /\
bmi2_enabled /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret))
let va_ens_Fmul (va_b0:va_code) (va_s0:va_state) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
(inB_b:buffer64) (va_sM:va_state) (va_fM:va_fuel) : prop =
(va_req_Fmul va_b0 va_s0 tmp_b inA_b dst_b inB_b /\ va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) =
va_get_reg64 rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) =
va_get_reg64 rRcx va_s0 in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in
let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM)) /\ va_state_eq va_sM (va_update_mem_layout va_sM
(va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsi va_sM
(va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem
va_sM va_s0))))))))))))))))))
val va_lemma_Fmul : va_b0:va_code -> va_s0:va_state -> tmp_b:buffer64 -> inA_b:buffer64 ->
dst_b:buffer64 -> inB_b:buffer64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Fmul ()) va_s0 /\ va_get_ok va_s0 /\ (let
(tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0 in let
(dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64 rRcx va_s0 in
adx_enabled /\ bmi2_enabled /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0)
(va_get_mem va_s0) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0
in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64 rRcx va_s0
in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1 =
Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM)) /\ va_state_eq va_sM (va_update_mem_layout va_sM
(va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsi va_sM
(va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem
va_sM va_s0)))))))))))))))))))
[@ va_qattr]
let va_wp_Fmul (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64) (va_s0:va_state)
(va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) =
va_get_reg64 rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) =
va_get_reg64 rRcx va_s0 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Memory.is_initial_heap
(va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/
dst_b == inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64)
(va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rdi:nat64) (va_x_rsi:nat64)
(va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64)
(va_x_r14:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap)
(va_x_memLayout:vale_heap_layout) . let va_sM = va_upd_mem_layout va_x_memLayout
(va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64
rRdi va_x_rdi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx
va_x_rbx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))))))))) in va_get_ok
va_sM /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64
rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64
rRcx va_s0 in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1 =
Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM)) ==> va_k va_sM (())))
val va_wpProof_Fmul : tmp_b:buffer64 -> inA_b:buffer64 -> dst_b:buffer64 -> inB_b:buffer64 ->
va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Fmul tmp_b inA_b dst_b inB_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fmul ()) ([va_Mod_mem_layout;
va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@ "opaque_to_smt" va_qattr]
let va_quick_Fmul (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64) :
(va_quickCode unit (va_code_Fmul ())) =
(va_QProc (va_code_Fmul ()) ([va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64
rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64
rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64
rRbx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Fmul tmp_b inA_b dst_b inB_b) (va_wpProof_Fmul
tmp_b inA_b dst_b inB_b))
//--
//-- Fmul_stdcall
val va_code_Fmul_stdcall : win:bool -> Tot va_code
val va_codegen_success_Fmul_stdcall : win:bool -> Tot va_pbool
let va_req_Fmul_stdcall (va_b0:va_code) (va_s0:va_state) (win:bool) (tmp_b:buffer64)
(inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64) : prop =
(va_require_total va_b0 (va_code_Fmul_stdcall win) va_s0 /\ va_get_ok va_s0 /\ (let
(tmp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else
va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (dst_in:(va_int_range 0
18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in
let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR9 va_s0 else
va_get_reg64 rRcx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack
va_s0) /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(adx_enabled /\ bmi2_enabled) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b ==
inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret))
let va_ens_Fmul_stdcall (va_b0:va_code) (va_s0:va_state) (win:bool) (tmp_b:buffer64)
(inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64) (va_sM:va_state) (va_fM:va_fuel) : prop =
(va_req_Fmul_stdcall va_b0 va_s0 win tmp_b inA_b dst_b inB_b /\ va_ensure_total va_b0 va_s0 va_sM
va_fM /\ va_get_ok va_sM /\ (let (tmp_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0
18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in
let (dst_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else
va_get_reg64 rRdx va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rR9 va_s0 else va_get_reg64 rRcx va_s0) in let a0 = Vale.X64.Decls.buffer64_read
inA_b 0 (va_get_mem va_s0) in let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0)
in let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM) /\ (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx
va_s0) /\ (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ (win ==> va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_s0) /\ (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi
va_s0) /\ (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ (win ==> va_get_reg64
rR13 va_sM == va_get_reg64 rR13 va_s0) /\ (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14
va_s0) /\ (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ (~win ==>
va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ (~win ==> va_get_reg64 rRbp va_sM ==
va_get_reg64 rRbp va_s0) /\ (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\
(~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ (~win ==> va_get_reg64 rR15
va_sM == va_get_reg64 rR15 va_s0) /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\
va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout
va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem
va_sM va_s0)))))))))))))))))))))))
val va_lemma_Fmul_stdcall : va_b0:va_code -> va_s0:va_state -> win:bool -> tmp_b:buffer64 ->
inA_b:buffer64 -> dst_b:buffer64 -> inB_b:buffer64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Fmul_stdcall win) va_s0 /\ va_get_ok va_s0 /\ (let
(tmp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else
va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (dst_in:(va_int_range 0
18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in
let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR9 va_s0 else
va_get_reg64 rRcx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack
va_s0) /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(adx_enabled /\ bmi2_enabled) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b ==
inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (tmp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else
va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (dst_in:(va_int_range 0
18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in
let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR9 va_s0 else
va_get_reg64 rRcx va_s0) in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in
let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM) /\ (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx
va_s0) /\ (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ (win ==> va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_s0) /\ (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi
va_s0) /\ (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ (win ==> va_get_reg64
rR13 va_sM == va_get_reg64 rR13 va_s0) /\ (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14
va_s0) /\ (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ (~win ==>
va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ (~win ==> va_get_reg64 rRbp va_sM ==
va_get_reg64 rRbp va_s0) /\ (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\
(~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ (~win ==> va_get_reg64 rR15
va_sM == va_get_reg64 rR15 va_s0) /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\
va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout
va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem
va_sM va_s0))))))))))))))))))))))))
[@ va_qattr]
let va_wp_Fmul_stdcall (win:bool) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
(inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (tmp_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ ->
va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0
18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64
rRsi va_s0) in let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ ->
va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in let (inB_in:(va_int_range 0
18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR9 va_s0) (fun _ -> va_get_reg64
rRcx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack va_s0) /\
Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (adx_enabled /\
bmi2_enabled) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64)
(va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (va_x_rdi:nat64)
(va_x_rbp:nat64) (va_x_rsp:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64)
(va_x_r11:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_efl:Vale.X64.Flags.t)
(va_x_heap0:vale_heap) (va_x_memLayout:vale_heap_layout) (va_x_stack:vale_stack)
(va_x_stackTaint:memtaint) . let va_sM = va_upd_stackTaint va_x_stackTaint (va_upd_stack
va_x_stack (va_upd_mem_layout va_x_memLayout (va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags
va_x_efl (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13
(va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rRsp va_x_rsp (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRdi va_x_rdi
(va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem
va_s0)))))))))))))))))))) in va_get_ok va_sM /\ (let (tmp_in:(va_int_range 0
18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64
rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ ->
va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (dst_in:(va_int_range 0
18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64
rRdx va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ ->
va_get_reg64 rR9 va_s0) (fun _ -> va_get_reg64 rRcx va_s0) in let a0 =
Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1 =
Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM) /\ (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx
va_s0) /\ (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ (win ==> va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_s0) /\ (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi
va_s0) /\ (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ (win ==> va_get_reg64
rR13 va_sM == va_get_reg64 rR13 va_s0) /\ (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14
va_s0) /\ (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ (~win ==>
va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ (~win ==> va_get_reg64 rRbp va_sM ==
va_get_reg64 rRbp va_s0) /\ (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\
(~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ (~win ==> va_get_reg64 rR15
va_sM == va_get_reg64 rR15 va_s0) /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) ==>
va_k va_sM (())))
val va_wpProof_Fmul_stdcall : win:bool -> tmp_b:buffer64 -> inA_b:buffer64 -> dst_b:buffer64 ->
inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Fmul_stdcall win tmp_b inA_b dst_b inB_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fmul_stdcall win) ([va_Mod_stackTaint;
va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15;
va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@ "opaque_to_smt" va_qattr]
let va_quick_Fmul_stdcall (win:bool) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
(inB_b:buffer64) : (va_quickCode unit (va_code_Fmul_stdcall win)) =
(va_QProc (va_code_Fmul_stdcall win) ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout;
va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp;
va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Fmul_stdcall win tmp_b inA_b dst_b
inB_b) (va_wpProof_Fmul_stdcall win tmp_b inA_b dst_b inB_b))
//--
//-- Fmul2
val va_code_Fmul2 : va_dummy:unit -> Tot va_code | {
"checked_file": "/",
"dependencies": [
"Vale.X64.State.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.QuickCodes.fsti.checked",
"Vale.X64.QuickCode.fst.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.InsStack.fsti.checked",
"Vale.X64.InsMem.fsti.checked",
"Vale.X64.InsBasic.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fsti.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Curve25519.Fast_defs.fst.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": false,
"source_file": "Vale.Curve25519.X64.FastWide.fsti"
} | [
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Curve25519.Fast_defs",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsStack",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_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": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Curve25519.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Curve25519.X64",
"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": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_b0: Vale.X64.Decls.va_code ->
va_s0: Vale.X64.Decls.va_state ->
tmp_b: Vale.X64.Memory.buffer64 ->
inA_b: Vale.X64.Memory.buffer64 ->
dst_b: Vale.X64.Memory.buffer64 ->
inB_b: Vale.X64.Memory.buffer64
-> Prims.prop | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.Memory.buffer64",
"Prims.l_and",
"Vale.X64.Decls.va_require_total",
"Vale.Curve25519.X64.FastWide.va_code_Fmul2",
"Prims.b2t",
"Vale.X64.Decls.va_get_ok",
"Vale.X64.CPU_Features_s.adx_enabled",
"Vale.X64.CPU_Features_s.bmi2_enabled",
"Vale.X64.Memory.is_initial_heap",
"Vale.X64.Decls.va_get_mem_layout",
"Vale.X64.Decls.va_get_mem",
"Prims.l_or",
"Vale.X64.Decls.buffers_disjoint",
"Prims.eq2",
"Vale.X64.Decls.validDstAddrs64",
"Vale.Arch.HeapTypes_s.Secret",
"Vale.X64.Decls.validSrcAddrs64",
"Vale.Def.Words_s.nat64",
"Vale.X64.Decls.va_get_reg64",
"Vale.X64.Machine_s.rRcx",
"Vale.X64.Machine_s.rR15",
"Vale.X64.Machine_s.rRsi",
"Vale.X64.Machine_s.rRdi",
"Prims.prop"
] | [] | false | false | false | true | true | let va_req_Fmul2 (va_b0: va_code) (va_s0: va_state) (tmp_b inA_b dst_b inB_b: buffer64) : prop =
| (va_require_total va_b0 (va_code_Fmul2 ()) va_s0 /\ va_get_ok va_s0 /\
(let tmp_in:nat64 = va_get_reg64 rRdi va_s0 in
let inA_in:nat64 = va_get_reg64 rRsi va_s0 in
let dst_in:nat64 = va_get_reg64 rR15 va_s0 in
let inB_in:nat64 = va_get_reg64 rRcx va_s0 in
adx_enabled /\ bmi2_enabled /\
Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0)
dst_in
dst_b
8
(va_get_mem_layout va_s0)
Secret /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0)
inA_in
inA_b
8
(va_get_mem_layout va_s0)
Secret /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0)
inB_in
inB_b
8
(va_get_mem_layout va_s0)
Secret /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0)
tmp_in
tmp_b
16
(va_get_mem_layout va_s0)
Secret)) | false |
Vale.Curve25519.X64.FastWide.fsti | Vale.Curve25519.X64.FastWide.va_wp_Fsqr | val va_wp_Fsqr (tmp_b inA_b dst_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0))
: Type0 | val va_wp_Fsqr (tmp_b inA_b dst_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0))
: Type0 | let va_wp_Fsqr (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state
-> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) =
va_get_reg64 rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR12 va_s0 in adx_enabled /\
bmi2_enabled /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem
va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in tmp_b 8 (va_get_mem_layout va_s0)
Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64)
(va_x_rdx:nat64) (va_x_rdi:nat64) (va_x_rsi:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_r15:nat64)
(va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) (va_x_memLayout:vale_heap_layout) . let
va_sM = va_upd_mem_layout va_x_memLayout (va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags
va_x_efl (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13
(va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdi va_x_rdi (va_upd_reg64 rRdx va_x_rdx
(va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax (va_upd_mem
va_x_mem va_s0)))))))))))))))) in va_get_ok va_sM /\ (let (tmp_in:nat64) = va_get_reg64 rRdi
va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR12
va_s0 in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1 =
Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_four
d0 d1 d2 d3 in d `op_Modulus` prime == va_mul_nat a a `op_Modulus` prime /\ va_get_reg64 rR12
va_s0 == va_get_reg64 rR12 va_sM /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b (va_get_mem
va_s0) (va_get_mem va_sM)) ==> va_k va_sM (()))) | {
"file_name": "obj/Vale.Curve25519.X64.FastWide.fsti",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 52,
"end_line": 925,
"start_col": 0,
"start_line": 892
} | module Vale.Curve25519.X64.FastWide
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.X64.Machine_s
open Vale.X64.Memory
open Vale.X64.Stack_i
open Vale.X64.State
open Vale.X64.Decls
open Vale.X64.InsBasic
open Vale.X64.InsMem
open Vale.X64.InsStack
open Vale.X64.QuickCode
open Vale.X64.QuickCodes
open Vale.Curve25519.Fast_defs
open Vale.X64.CPU_Features_s
//-- Fmul
val va_code_Fmul : va_dummy:unit -> Tot va_code
val va_codegen_success_Fmul : va_dummy:unit -> Tot va_pbool
let va_req_Fmul (va_b0:va_code) (va_s0:va_state) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
(inB_b:buffer64) : prop =
(va_require_total va_b0 (va_code_Fmul ()) va_s0 /\ va_get_ok va_s0 /\ (let (tmp_in:nat64) =
va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0 in let (dst_in:nat64) =
va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64 rRcx va_s0 in adx_enabled /\
bmi2_enabled /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret))
let va_ens_Fmul (va_b0:va_code) (va_s0:va_state) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
(inB_b:buffer64) (va_sM:va_state) (va_fM:va_fuel) : prop =
(va_req_Fmul va_b0 va_s0 tmp_b inA_b dst_b inB_b /\ va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) =
va_get_reg64 rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) =
va_get_reg64 rRcx va_s0 in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in
let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM)) /\ va_state_eq va_sM (va_update_mem_layout va_sM
(va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsi va_sM
(va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem
va_sM va_s0))))))))))))))))))
val va_lemma_Fmul : va_b0:va_code -> va_s0:va_state -> tmp_b:buffer64 -> inA_b:buffer64 ->
dst_b:buffer64 -> inB_b:buffer64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Fmul ()) va_s0 /\ va_get_ok va_s0 /\ (let
(tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0 in let
(dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64 rRcx va_s0 in
adx_enabled /\ bmi2_enabled /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0)
(va_get_mem va_s0) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0
in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64 rRcx va_s0
in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1 =
Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM)) /\ va_state_eq va_sM (va_update_mem_layout va_sM
(va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsi va_sM
(va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem
va_sM va_s0)))))))))))))))))))
[@ va_qattr]
let va_wp_Fmul (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64) (va_s0:va_state)
(va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) =
va_get_reg64 rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) =
va_get_reg64 rRcx va_s0 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Memory.is_initial_heap
(va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/
dst_b == inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64)
(va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rdi:nat64) (va_x_rsi:nat64)
(va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64)
(va_x_r14:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap)
(va_x_memLayout:vale_heap_layout) . let va_sM = va_upd_mem_layout va_x_memLayout
(va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64
rRdi va_x_rdi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx
va_x_rbx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))))))))) in va_get_ok
va_sM /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64
rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64
rRcx va_s0 in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1 =
Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM)) ==> va_k va_sM (())))
val va_wpProof_Fmul : tmp_b:buffer64 -> inA_b:buffer64 -> dst_b:buffer64 -> inB_b:buffer64 ->
va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Fmul tmp_b inA_b dst_b inB_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fmul ()) ([va_Mod_mem_layout;
va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@ "opaque_to_smt" va_qattr]
let va_quick_Fmul (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64) :
(va_quickCode unit (va_code_Fmul ())) =
(va_QProc (va_code_Fmul ()) ([va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64
rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64
rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64
rRbx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Fmul tmp_b inA_b dst_b inB_b) (va_wpProof_Fmul
tmp_b inA_b dst_b inB_b))
//--
//-- Fmul_stdcall
val va_code_Fmul_stdcall : win:bool -> Tot va_code
val va_codegen_success_Fmul_stdcall : win:bool -> Tot va_pbool
let va_req_Fmul_stdcall (va_b0:va_code) (va_s0:va_state) (win:bool) (tmp_b:buffer64)
(inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64) : prop =
(va_require_total va_b0 (va_code_Fmul_stdcall win) va_s0 /\ va_get_ok va_s0 /\ (let
(tmp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else
va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (dst_in:(va_int_range 0
18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in
let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR9 va_s0 else
va_get_reg64 rRcx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack
va_s0) /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(adx_enabled /\ bmi2_enabled) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b ==
inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret))
let va_ens_Fmul_stdcall (va_b0:va_code) (va_s0:va_state) (win:bool) (tmp_b:buffer64)
(inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64) (va_sM:va_state) (va_fM:va_fuel) : prop =
(va_req_Fmul_stdcall va_b0 va_s0 win tmp_b inA_b dst_b inB_b /\ va_ensure_total va_b0 va_s0 va_sM
va_fM /\ va_get_ok va_sM /\ (let (tmp_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0
18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in
let (dst_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else
va_get_reg64 rRdx va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rR9 va_s0 else va_get_reg64 rRcx va_s0) in let a0 = Vale.X64.Decls.buffer64_read
inA_b 0 (va_get_mem va_s0) in let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0)
in let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM) /\ (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx
va_s0) /\ (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ (win ==> va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_s0) /\ (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi
va_s0) /\ (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ (win ==> va_get_reg64
rR13 va_sM == va_get_reg64 rR13 va_s0) /\ (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14
va_s0) /\ (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ (~win ==>
va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ (~win ==> va_get_reg64 rRbp va_sM ==
va_get_reg64 rRbp va_s0) /\ (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\
(~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ (~win ==> va_get_reg64 rR15
va_sM == va_get_reg64 rR15 va_s0) /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\
va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout
va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem
va_sM va_s0)))))))))))))))))))))))
val va_lemma_Fmul_stdcall : va_b0:va_code -> va_s0:va_state -> win:bool -> tmp_b:buffer64 ->
inA_b:buffer64 -> dst_b:buffer64 -> inB_b:buffer64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Fmul_stdcall win) va_s0 /\ va_get_ok va_s0 /\ (let
(tmp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else
va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (dst_in:(va_int_range 0
18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in
let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR9 va_s0 else
va_get_reg64 rRcx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack
va_s0) /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(adx_enabled /\ bmi2_enabled) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b ==
inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (tmp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else
va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (dst_in:(va_int_range 0
18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in
let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR9 va_s0 else
va_get_reg64 rRcx va_s0) in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in
let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM) /\ (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx
va_s0) /\ (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ (win ==> va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_s0) /\ (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi
va_s0) /\ (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ (win ==> va_get_reg64
rR13 va_sM == va_get_reg64 rR13 va_s0) /\ (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14
va_s0) /\ (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ (~win ==>
va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ (~win ==> va_get_reg64 rRbp va_sM ==
va_get_reg64 rRbp va_s0) /\ (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\
(~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ (~win ==> va_get_reg64 rR15
va_sM == va_get_reg64 rR15 va_s0) /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\
va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout
va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem
va_sM va_s0))))))))))))))))))))))))
[@ va_qattr]
let va_wp_Fmul_stdcall (win:bool) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
(inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (tmp_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ ->
va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0
18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64
rRsi va_s0) in let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ ->
va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in let (inB_in:(va_int_range 0
18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR9 va_s0) (fun _ -> va_get_reg64
rRcx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack va_s0) /\
Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (adx_enabled /\
bmi2_enabled) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64)
(va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (va_x_rdi:nat64)
(va_x_rbp:nat64) (va_x_rsp:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64)
(va_x_r11:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_efl:Vale.X64.Flags.t)
(va_x_heap0:vale_heap) (va_x_memLayout:vale_heap_layout) (va_x_stack:vale_stack)
(va_x_stackTaint:memtaint) . let va_sM = va_upd_stackTaint va_x_stackTaint (va_upd_stack
va_x_stack (va_upd_mem_layout va_x_memLayout (va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags
va_x_efl (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13
(va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rRsp va_x_rsp (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRdi va_x_rdi
(va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem
va_s0)))))))))))))))))))) in va_get_ok va_sM /\ (let (tmp_in:(va_int_range 0
18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64
rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ ->
va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (dst_in:(va_int_range 0
18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64
rRdx va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ ->
va_get_reg64 rR9 va_s0) (fun _ -> va_get_reg64 rRcx va_s0) in let a0 =
Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1 =
Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM) /\ (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx
va_s0) /\ (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ (win ==> va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_s0) /\ (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi
va_s0) /\ (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ (win ==> va_get_reg64
rR13 va_sM == va_get_reg64 rR13 va_s0) /\ (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14
va_s0) /\ (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ (~win ==>
va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ (~win ==> va_get_reg64 rRbp va_sM ==
va_get_reg64 rRbp va_s0) /\ (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\
(~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ (~win ==> va_get_reg64 rR15
va_sM == va_get_reg64 rR15 va_s0) /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) ==>
va_k va_sM (())))
val va_wpProof_Fmul_stdcall : win:bool -> tmp_b:buffer64 -> inA_b:buffer64 -> dst_b:buffer64 ->
inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Fmul_stdcall win tmp_b inA_b dst_b inB_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fmul_stdcall win) ([va_Mod_stackTaint;
va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15;
va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@ "opaque_to_smt" va_qattr]
let va_quick_Fmul_stdcall (win:bool) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
(inB_b:buffer64) : (va_quickCode unit (va_code_Fmul_stdcall win)) =
(va_QProc (va_code_Fmul_stdcall win) ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout;
va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp;
va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Fmul_stdcall win tmp_b inA_b dst_b
inB_b) (va_wpProof_Fmul_stdcall win tmp_b inA_b dst_b inB_b))
//--
//-- Fmul2
val va_code_Fmul2 : va_dummy:unit -> Tot va_code
val va_codegen_success_Fmul2 : va_dummy:unit -> Tot va_pbool
let va_req_Fmul2 (va_b0:va_code) (va_s0:va_state) (tmp_b:buffer64) (inA_b:buffer64)
(dst_b:buffer64) (inB_b:buffer64) : prop =
(va_require_total va_b0 (va_code_Fmul2 ()) va_s0 /\ va_get_ok va_s0 /\ (let (tmp_in:nat64) =
va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0 in let (dst_in:nat64) =
va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64 rRcx va_s0 in adx_enabled /\
bmi2_enabled /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 8 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 8 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 8
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 16 (va_get_mem_layout va_s0) Secret))
let va_ens_Fmul2 (va_b0:va_code) (va_s0:va_state) (tmp_b:buffer64) (inA_b:buffer64)
(dst_b:buffer64) (inB_b:buffer64) (va_sM:va_state) (va_fM:va_fuel) : prop =
(va_req_Fmul2 va_b0 va_s0 tmp_b inA_b dst_b inB_b /\ va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) =
va_get_reg64 rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) =
va_get_reg64 rRcx va_s0 in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in
let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let a0' = Vale.X64.Decls.buffer64_read inA_b (0 + 4) (va_get_mem va_s0) in let
a1' = Vale.X64.Decls.buffer64_read inA_b (1 + 4) (va_get_mem va_s0) in let a2' =
Vale.X64.Decls.buffer64_read inA_b (2 + 4) (va_get_mem va_s0) in let a3' =
Vale.X64.Decls.buffer64_read inA_b (3 + 4) (va_get_mem va_s0) in let b0' =
Vale.X64.Decls.buffer64_read inB_b (0 + 4) (va_get_mem va_s0) in let b1' =
Vale.X64.Decls.buffer64_read inB_b (1 + 4) (va_get_mem va_s0) in let b2' =
Vale.X64.Decls.buffer64_read inB_b (2 + 4) (va_get_mem va_s0) in let b3' =
Vale.X64.Decls.buffer64_read inB_b (3 + 4) (va_get_mem va_s0) in let a' =
Vale.Curve25519.Fast_defs.pow2_four a0' a1' a2' a3' in let b' =
Vale.Curve25519.Fast_defs.pow2_four b0' b1' b2' b3' in let d0 = Vale.X64.Decls.buffer64_read
dst_b 0 (va_get_mem va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM)
in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let d =
Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in let d0' = Vale.X64.Decls.buffer64_read dst_b
(0 + 4) (va_get_mem va_sM) in let d1' = Vale.X64.Decls.buffer64_read dst_b (1 + 4) (va_get_mem
va_sM) in let d2' = Vale.X64.Decls.buffer64_read dst_b (2 + 4) (va_get_mem va_sM) in let d3' =
Vale.X64.Decls.buffer64_read dst_b (3 + 4) (va_get_mem va_sM) in let d' =
Vale.Curve25519.Fast_defs.pow2_four d0' d1' d2' d3' in d `op_Modulus` prime == va_mul_nat a b
`op_Modulus` prime /\ d' `op_Modulus` prime == va_mul_nat a' b' `op_Modulus` prime /\
Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b (va_get_mem va_s0) (va_get_mem va_sM)) /\
va_state_eq va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags
va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))
val va_lemma_Fmul2 : va_b0:va_code -> va_s0:va_state -> tmp_b:buffer64 -> inA_b:buffer64 ->
dst_b:buffer64 -> inB_b:buffer64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Fmul2 ()) va_s0 /\ va_get_ok va_s0 /\ (let
(tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0 in let
(dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64 rRcx va_s0 in
adx_enabled /\ bmi2_enabled /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0)
(va_get_mem va_s0) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 8 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 8 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 8
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 16 (va_get_mem_layout va_s0) Secret)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0
in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64 rRcx va_s0
in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1 =
Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let a0' = Vale.X64.Decls.buffer64_read inA_b (0 + 4) (va_get_mem va_s0) in let
a1' = Vale.X64.Decls.buffer64_read inA_b (1 + 4) (va_get_mem va_s0) in let a2' =
Vale.X64.Decls.buffer64_read inA_b (2 + 4) (va_get_mem va_s0) in let a3' =
Vale.X64.Decls.buffer64_read inA_b (3 + 4) (va_get_mem va_s0) in let b0' =
Vale.X64.Decls.buffer64_read inB_b (0 + 4) (va_get_mem va_s0) in let b1' =
Vale.X64.Decls.buffer64_read inB_b (1 + 4) (va_get_mem va_s0) in let b2' =
Vale.X64.Decls.buffer64_read inB_b (2 + 4) (va_get_mem va_s0) in let b3' =
Vale.X64.Decls.buffer64_read inB_b (3 + 4) (va_get_mem va_s0) in let a' =
Vale.Curve25519.Fast_defs.pow2_four a0' a1' a2' a3' in let b' =
Vale.Curve25519.Fast_defs.pow2_four b0' b1' b2' b3' in let d0 = Vale.X64.Decls.buffer64_read
dst_b 0 (va_get_mem va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM)
in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let d =
Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in let d0' = Vale.X64.Decls.buffer64_read dst_b
(0 + 4) (va_get_mem va_sM) in let d1' = Vale.X64.Decls.buffer64_read dst_b (1 + 4) (va_get_mem
va_sM) in let d2' = Vale.X64.Decls.buffer64_read dst_b (2 + 4) (va_get_mem va_sM) in let d3' =
Vale.X64.Decls.buffer64_read dst_b (3 + 4) (va_get_mem va_sM) in let d' =
Vale.Curve25519.Fast_defs.pow2_four d0' d1' d2' d3' in d `op_Modulus` prime == va_mul_nat a b
`op_Modulus` prime /\ d' `op_Modulus` prime == va_mul_nat a' b' `op_Modulus` prime /\
Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b (va_get_mem va_s0) (va_get_mem va_sM)) /\
va_state_eq va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags
va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))))))))
[@ va_qattr]
let va_wp_Fmul2 (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64)
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) =
va_get_reg64 rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) =
va_get_reg64 rRcx va_s0 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Memory.is_initial_heap
(va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/
dst_b == inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 8 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 8 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 8
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 16 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64)
(va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rdi:nat64) (va_x_rsi:nat64)
(va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64)
(va_x_r14:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap)
(va_x_memLayout:vale_heap_layout) . let va_sM = va_upd_mem_layout va_x_memLayout
(va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64
rRdi va_x_rdi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx
va_x_rbx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))))))))) in va_get_ok
va_sM /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64
rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64
rRcx va_s0 in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1 =
Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let a0' = Vale.X64.Decls.buffer64_read inA_b (0 + 4) (va_get_mem va_s0) in let
a1' = Vale.X64.Decls.buffer64_read inA_b (1 + 4) (va_get_mem va_s0) in let a2' =
Vale.X64.Decls.buffer64_read inA_b (2 + 4) (va_get_mem va_s0) in let a3' =
Vale.X64.Decls.buffer64_read inA_b (3 + 4) (va_get_mem va_s0) in let b0' =
Vale.X64.Decls.buffer64_read inB_b (0 + 4) (va_get_mem va_s0) in let b1' =
Vale.X64.Decls.buffer64_read inB_b (1 + 4) (va_get_mem va_s0) in let b2' =
Vale.X64.Decls.buffer64_read inB_b (2 + 4) (va_get_mem va_s0) in let b3' =
Vale.X64.Decls.buffer64_read inB_b (3 + 4) (va_get_mem va_s0) in let a' =
Vale.Curve25519.Fast_defs.pow2_four a0' a1' a2' a3' in let b' =
Vale.Curve25519.Fast_defs.pow2_four b0' b1' b2' b3' in let d0 = Vale.X64.Decls.buffer64_read
dst_b 0 (va_get_mem va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM)
in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let d =
Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in let d0' = Vale.X64.Decls.buffer64_read dst_b
(0 + 4) (va_get_mem va_sM) in let d1' = Vale.X64.Decls.buffer64_read dst_b (1 + 4) (va_get_mem
va_sM) in let d2' = Vale.X64.Decls.buffer64_read dst_b (2 + 4) (va_get_mem va_sM) in let d3' =
Vale.X64.Decls.buffer64_read dst_b (3 + 4) (va_get_mem va_sM) in let d' =
Vale.Curve25519.Fast_defs.pow2_four d0' d1' d2' d3' in d `op_Modulus` prime == va_mul_nat a b
`op_Modulus` prime /\ d' `op_Modulus` prime == va_mul_nat a' b' `op_Modulus` prime /\
Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b (va_get_mem va_s0) (va_get_mem va_sM)) ==> va_k
va_sM (())))
val va_wpProof_Fmul2 : tmp_b:buffer64 -> inA_b:buffer64 -> dst_b:buffer64 -> inB_b:buffer64 ->
va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Fmul2 tmp_b inA_b dst_b inB_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fmul2 ()) ([va_Mod_mem_layout;
va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@ "opaque_to_smt" va_qattr]
let va_quick_Fmul2 (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64) :
(va_quickCode unit (va_code_Fmul2 ())) =
(va_QProc (va_code_Fmul2 ()) ([va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags;
va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Fmul2 tmp_b inA_b dst_b inB_b)
(va_wpProof_Fmul2 tmp_b inA_b dst_b inB_b))
//--
//-- Fmul2_stdcall
val va_code_Fmul2_stdcall : win:bool -> Tot va_code
val va_codegen_success_Fmul2_stdcall : win:bool -> Tot va_pbool
let va_req_Fmul2_stdcall (va_b0:va_code) (va_s0:va_state) (win:bool) (tmp_b:buffer64)
(inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64) : prop =
(va_require_total va_b0 (va_code_Fmul2_stdcall win) va_s0 /\ va_get_ok va_s0 /\ (let
(tmp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else
va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (dst_in:(va_int_range 0
18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in
let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR9 va_s0 else
va_get_reg64 rRcx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack
va_s0) /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(adx_enabled /\ bmi2_enabled) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b ==
inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 8 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 8 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 8
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 16 (va_get_mem_layout va_s0) Secret))
let va_ens_Fmul2_stdcall (va_b0:va_code) (va_s0:va_state) (win:bool) (tmp_b:buffer64)
(inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64) (va_sM:va_state) (va_fM:va_fuel) : prop =
(va_req_Fmul2_stdcall va_b0 va_s0 win tmp_b inA_b dst_b inB_b /\ va_ensure_total va_b0 va_s0
va_sM va_fM /\ va_get_ok va_sM /\ (let (tmp_in:(va_int_range 0 18446744073709551615)) = (if win
then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0
18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in
let (dst_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else
va_get_reg64 rRdx va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rR9 va_s0 else va_get_reg64 rRcx va_s0) in let a0 = Vale.X64.Decls.buffer64_read
inA_b 0 (va_get_mem va_s0) in let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0)
in let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let a0' = Vale.X64.Decls.buffer64_read inA_b (0 + 4) (va_get_mem va_s0) in let
a1' = Vale.X64.Decls.buffer64_read inA_b (1 + 4) (va_get_mem va_s0) in let a2' =
Vale.X64.Decls.buffer64_read inA_b (2 + 4) (va_get_mem va_s0) in let a3' =
Vale.X64.Decls.buffer64_read inA_b (3 + 4) (va_get_mem va_s0) in let b0' =
Vale.X64.Decls.buffer64_read inB_b (0 + 4) (va_get_mem va_s0) in let b1' =
Vale.X64.Decls.buffer64_read inB_b (1 + 4) (va_get_mem va_s0) in let b2' =
Vale.X64.Decls.buffer64_read inB_b (2 + 4) (va_get_mem va_s0) in let b3' =
Vale.X64.Decls.buffer64_read inB_b (3 + 4) (va_get_mem va_s0) in let a' =
Vale.Curve25519.Fast_defs.pow2_four a0' a1' a2' a3' in let b' =
Vale.Curve25519.Fast_defs.pow2_four b0' b1' b2' b3' in let d0 = Vale.X64.Decls.buffer64_read
dst_b 0 (va_get_mem va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM)
in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let d =
Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in let d0' = Vale.X64.Decls.buffer64_read dst_b
(0 + 4) (va_get_mem va_sM) in let d1' = Vale.X64.Decls.buffer64_read dst_b (1 + 4) (va_get_mem
va_sM) in let d2' = Vale.X64.Decls.buffer64_read dst_b (2 + 4) (va_get_mem va_sM) in let d3' =
Vale.X64.Decls.buffer64_read dst_b (3 + 4) (va_get_mem va_sM) in let d' =
Vale.Curve25519.Fast_defs.pow2_four d0' d1' d2' d3' in d `op_Modulus` prime == va_mul_nat a b
`op_Modulus` prime /\ d' `op_Modulus` prime == va_mul_nat a' b' `op_Modulus` prime /\
Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (win ==>
va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ (win ==> va_get_reg64 rRbp va_sM ==
va_get_reg64 rRbp va_s0) /\ (win ==> va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\
(win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0) /\ (win ==> va_get_reg64 rRsp
va_sM == va_get_reg64 rRsp va_s0) /\ (win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13
va_s0) /\ (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ (win ==> va_get_reg64
rR15 va_sM == va_get_reg64 rR15 va_s0) /\ (~win ==> va_get_reg64 rRbx va_sM == va_get_reg64
rRbx va_s0) /\ (~win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ (~win ==>
va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ (~win ==> va_get_reg64 rR14 va_sM ==
va_get_reg64 rR14 va_s0) /\ (~win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\
va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ va_state_eq va_sM (va_update_stackTaint
va_sM (va_update_stack va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM
(va_update_flags va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64
rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM
(va_update_reg64 rRdi va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))))))))))))
val va_lemma_Fmul2_stdcall : va_b0:va_code -> va_s0:va_state -> win:bool -> tmp_b:buffer64 ->
inA_b:buffer64 -> dst_b:buffer64 -> inB_b:buffer64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Fmul2_stdcall win) va_s0 /\ va_get_ok va_s0 /\ (let
(tmp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else
va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (dst_in:(va_int_range 0
18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in
let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR9 va_s0 else
va_get_reg64 rRcx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack
va_s0) /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(adx_enabled /\ bmi2_enabled) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b ==
inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 8 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 8 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 8
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 16 (va_get_mem_layout va_s0) Secret)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (tmp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else
va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (dst_in:(va_int_range 0
18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in
let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR9 va_s0 else
va_get_reg64 rRcx va_s0) in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in
let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let a0' = Vale.X64.Decls.buffer64_read inA_b (0 + 4) (va_get_mem va_s0) in let
a1' = Vale.X64.Decls.buffer64_read inA_b (1 + 4) (va_get_mem va_s0) in let a2' =
Vale.X64.Decls.buffer64_read inA_b (2 + 4) (va_get_mem va_s0) in let a3' =
Vale.X64.Decls.buffer64_read inA_b (3 + 4) (va_get_mem va_s0) in let b0' =
Vale.X64.Decls.buffer64_read inB_b (0 + 4) (va_get_mem va_s0) in let b1' =
Vale.X64.Decls.buffer64_read inB_b (1 + 4) (va_get_mem va_s0) in let b2' =
Vale.X64.Decls.buffer64_read inB_b (2 + 4) (va_get_mem va_s0) in let b3' =
Vale.X64.Decls.buffer64_read inB_b (3 + 4) (va_get_mem va_s0) in let a' =
Vale.Curve25519.Fast_defs.pow2_four a0' a1' a2' a3' in let b' =
Vale.Curve25519.Fast_defs.pow2_four b0' b1' b2' b3' in let d0 = Vale.X64.Decls.buffer64_read
dst_b 0 (va_get_mem va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM)
in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let d =
Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in let d0' = Vale.X64.Decls.buffer64_read dst_b
(0 + 4) (va_get_mem va_sM) in let d1' = Vale.X64.Decls.buffer64_read dst_b (1 + 4) (va_get_mem
va_sM) in let d2' = Vale.X64.Decls.buffer64_read dst_b (2 + 4) (va_get_mem va_sM) in let d3' =
Vale.X64.Decls.buffer64_read dst_b (3 + 4) (va_get_mem va_sM) in let d' =
Vale.Curve25519.Fast_defs.pow2_four d0' d1' d2' d3' in d `op_Modulus` prime == va_mul_nat a b
`op_Modulus` prime /\ d' `op_Modulus` prime == va_mul_nat a' b' `op_Modulus` prime /\
Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (win ==>
va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ (win ==> va_get_reg64 rRbp va_sM ==
va_get_reg64 rRbp va_s0) /\ (win ==> va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\
(win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0) /\ (win ==> va_get_reg64 rRsp
va_sM == va_get_reg64 rRsp va_s0) /\ (win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13
va_s0) /\ (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ (win ==> va_get_reg64
rR15 va_sM == va_get_reg64 rR15 va_s0) /\ (~win ==> va_get_reg64 rRbx va_sM == va_get_reg64
rRbx va_s0) /\ (~win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ (~win ==>
va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ (~win ==> va_get_reg64 rR14 va_sM ==
va_get_reg64 rR14 va_s0) /\ (~win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\
va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ va_state_eq va_sM (va_update_stackTaint
va_sM (va_update_stack va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM
(va_update_flags va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64
rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM
(va_update_reg64 rRdi va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))))
[@ va_qattr]
let va_wp_Fmul2_stdcall (win:bool) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
(inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (tmp_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ ->
va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0
18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64
rRsi va_s0) in let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ ->
va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in let (inB_in:(va_int_range 0
18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR9 va_s0) (fun _ -> va_get_reg64
rRcx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack va_s0) /\
Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (adx_enabled /\
bmi2_enabled) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 8 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 8 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 8
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 16 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64)
(va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (va_x_rdi:nat64)
(va_x_rbp:nat64) (va_x_rsp:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64)
(va_x_r11:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_efl:Vale.X64.Flags.t)
(va_x_heap0:vale_heap) (va_x_memLayout:vale_heap_layout) (va_x_stack:vale_stack)
(va_x_stackTaint:memtaint) . let va_sM = va_upd_stackTaint va_x_stackTaint (va_upd_stack
va_x_stack (va_upd_mem_layout va_x_memLayout (va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags
va_x_efl (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13
(va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rRsp va_x_rsp (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRdi va_x_rdi
(va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem
va_s0)))))))))))))))))))) in va_get_ok va_sM /\ (let (tmp_in:(va_int_range 0
18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64
rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ ->
va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (dst_in:(va_int_range 0
18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64
rRdx va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ ->
va_get_reg64 rR9 va_s0) (fun _ -> va_get_reg64 rRcx va_s0) in let a0 =
Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1 =
Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let a0' = Vale.X64.Decls.buffer64_read inA_b (0 + 4) (va_get_mem va_s0) in let
a1' = Vale.X64.Decls.buffer64_read inA_b (1 + 4) (va_get_mem va_s0) in let a2' =
Vale.X64.Decls.buffer64_read inA_b (2 + 4) (va_get_mem va_s0) in let a3' =
Vale.X64.Decls.buffer64_read inA_b (3 + 4) (va_get_mem va_s0) in let b0' =
Vale.X64.Decls.buffer64_read inB_b (0 + 4) (va_get_mem va_s0) in let b1' =
Vale.X64.Decls.buffer64_read inB_b (1 + 4) (va_get_mem va_s0) in let b2' =
Vale.X64.Decls.buffer64_read inB_b (2 + 4) (va_get_mem va_s0) in let b3' =
Vale.X64.Decls.buffer64_read inB_b (3 + 4) (va_get_mem va_s0) in let a' =
Vale.Curve25519.Fast_defs.pow2_four a0' a1' a2' a3' in let b' =
Vale.Curve25519.Fast_defs.pow2_four b0' b1' b2' b3' in let d0 = Vale.X64.Decls.buffer64_read
dst_b 0 (va_get_mem va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM)
in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let d =
Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in let d0' = Vale.X64.Decls.buffer64_read dst_b
(0 + 4) (va_get_mem va_sM) in let d1' = Vale.X64.Decls.buffer64_read dst_b (1 + 4) (va_get_mem
va_sM) in let d2' = Vale.X64.Decls.buffer64_read dst_b (2 + 4) (va_get_mem va_sM) in let d3' =
Vale.X64.Decls.buffer64_read dst_b (3 + 4) (va_get_mem va_sM) in let d' =
Vale.Curve25519.Fast_defs.pow2_four d0' d1' d2' d3' in d `op_Modulus` prime == va_mul_nat a b
`op_Modulus` prime /\ d' `op_Modulus` prime == va_mul_nat a' b' `op_Modulus` prime /\
Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (win ==>
va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ (win ==> va_get_reg64 rRbp va_sM ==
va_get_reg64 rRbp va_s0) /\ (win ==> va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\
(win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0) /\ (win ==> va_get_reg64 rRsp
va_sM == va_get_reg64 rRsp va_s0) /\ (win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13
va_s0) /\ (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ (win ==> va_get_reg64
rR15 va_sM == va_get_reg64 rR15 va_s0) /\ (~win ==> va_get_reg64 rRbx va_sM == va_get_reg64
rRbx va_s0) /\ (~win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ (~win ==>
va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ (~win ==> va_get_reg64 rR14 va_sM ==
va_get_reg64 rR14 va_s0) /\ (~win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\
va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) ==> va_k va_sM (())))
val va_wpProof_Fmul2_stdcall : win:bool -> tmp_b:buffer64 -> inA_b:buffer64 -> dst_b:buffer64 ->
inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Fmul2_stdcall win tmp_b inA_b dst_b inB_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fmul2_stdcall win)
([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags;
va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10;
va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi;
va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax;
va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@ "opaque_to_smt" va_qattr]
let va_quick_Fmul2_stdcall (win:bool) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
(inB_b:buffer64) : (va_quickCode unit (va_code_Fmul2_stdcall win)) =
(va_QProc (va_code_Fmul2_stdcall win) ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout;
va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp;
va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Fmul2_stdcall win tmp_b inA_b dst_b
inB_b) (va_wpProof_Fmul2_stdcall win tmp_b inA_b dst_b inB_b))
//--
//-- Fsqr
val va_code_Fsqr : va_dummy:unit -> Tot va_code
val va_codegen_success_Fsqr : va_dummy:unit -> Tot va_pbool
let va_req_Fsqr (va_b0:va_code) (va_s0:va_state) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
: prop =
(va_require_total va_b0 (va_code_Fsqr ()) va_s0 /\ va_get_ok va_s0 /\ (let (tmp_in:nat64) =
va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0 in let (dst_in:nat64) =
va_get_reg64 rR12 va_s0 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Memory.is_initial_heap
(va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/
dst_b == inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem
va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in tmp_b 8 (va_get_mem_layout va_s0)
Secret))
let va_ens_Fsqr (va_b0:va_code) (va_s0:va_state) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
(va_sM:va_state) (va_fM:va_fuel) : prop =
(va_req_Fsqr va_b0 va_s0 tmp_b inA_b dst_b /\ va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) =
va_get_reg64 rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR12 va_s0 in let a0 =
Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1 =
Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_four
d0 d1 d2 d3 in d `op_Modulus` prime == va_mul_nat a a `op_Modulus` prime /\ va_get_reg64 rR12
va_s0 == va_get_reg64 rR12 va_sM /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b (va_get_mem
va_s0) (va_get_mem va_sM)) /\ va_state_eq va_sM (va_update_mem_layout va_sM
(va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))))))))
val va_lemma_Fsqr : va_b0:va_code -> va_s0:va_state -> tmp_b:buffer64 -> inA_b:buffer64 ->
dst_b:buffer64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Fsqr ()) va_s0 /\ va_get_ok va_s0 /\ (let
(tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0 in let
(dst_in:nat64) = va_get_reg64 rR12 va_s0 in adx_enabled /\ bmi2_enabled /\
Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem
va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in tmp_b 8 (va_get_mem_layout va_s0)
Secret)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0
in let (dst_in:nat64) = va_get_reg64 rR12 va_s0 in let a0 = Vale.X64.Decls.buffer64_read inA_b
0 (va_get_mem va_s0) in let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let
a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_four
d0 d1 d2 d3 in d `op_Modulus` prime == va_mul_nat a a `op_Modulus` prime /\ va_get_reg64 rR12
va_s0 == va_get_reg64 rR12 va_sM /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b (va_get_mem
va_s0) (va_get_mem va_sM)) /\ va_state_eq va_sM (va_update_mem_layout va_sM
(va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))))))))) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.State.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.QuickCodes.fsti.checked",
"Vale.X64.QuickCode.fst.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.InsStack.fsti.checked",
"Vale.X64.InsMem.fsti.checked",
"Vale.X64.InsBasic.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fsti.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Curve25519.Fast_defs.fst.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": false,
"source_file": "Vale.Curve25519.X64.FastWide.fsti"
} | [
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Curve25519.Fast_defs",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsStack",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_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": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Curve25519.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Curve25519.X64",
"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": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
tmp_b: Vale.X64.Memory.buffer64 ->
inA_b: Vale.X64.Memory.buffer64 ->
dst_b: Vale.X64.Memory.buffer64 ->
va_s0: Vale.X64.Decls.va_state ->
va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0)
-> Type0 | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.Memory.buffer64",
"Vale.X64.Decls.va_state",
"Prims.unit",
"Prims.l_and",
"Prims.b2t",
"Vale.X64.Decls.va_get_ok",
"Vale.X64.CPU_Features_s.adx_enabled",
"Vale.X64.CPU_Features_s.bmi2_enabled",
"Vale.X64.Memory.is_initial_heap",
"Vale.X64.Decls.va_get_mem_layout",
"Vale.X64.Decls.va_get_mem",
"Prims.l_or",
"Vale.X64.Decls.buffers_disjoint",
"Prims.eq2",
"Vale.X64.Decls.validDstAddrs64",
"Vale.Arch.HeapTypes_s.Secret",
"Vale.X64.Decls.validSrcAddrs64",
"Vale.Def.Words_s.nat64",
"Vale.X64.Decls.va_get_reg64",
"Vale.X64.Machine_s.rR12",
"Vale.X64.Machine_s.rRsi",
"Vale.X64.Machine_s.rRdi",
"Prims.l_Forall",
"Vale.X64.InsBasic.vale_heap",
"Vale.X64.Memory.nat64",
"Vale.X64.Flags.t",
"Vale.Arch.HeapImpl.vale_heap_layout",
"Prims.l_imp",
"Prims.int",
"Prims.op_Modulus",
"Vale.Curve25519.Fast_defs.prime",
"Vale.X64.Decls.va_mul_nat",
"Vale.Def.Types_s.nat64",
"Vale.X64.Decls.modifies_buffer_2",
"Prims.nat",
"Vale.Curve25519.Fast_defs.pow2_four",
"Vale.X64.Decls.buffer64_read",
"Vale.X64.State.vale_state",
"Vale.X64.Decls.va_upd_mem_layout",
"Vale.X64.Decls.va_upd_mem_heaplet",
"Vale.X64.Decls.va_upd_flags",
"Vale.X64.Decls.va_upd_reg64",
"Vale.X64.Machine_s.rR15",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Machine_s.rR13",
"Vale.X64.Machine_s.rR11",
"Vale.X64.Machine_s.rR10",
"Vale.X64.Machine_s.rR9",
"Vale.X64.Machine_s.rR8",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Machine_s.rRcx",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Decls.va_upd_mem"
] | [] | false | false | false | true | true | let va_wp_Fsqr (tmp_b inA_b dst_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0))
: Type0 =
| (va_get_ok va_s0 /\
(let tmp_in:nat64 = va_get_reg64 rRdi va_s0 in
let inA_in:nat64 = va_get_reg64 rRsi va_s0 in
let dst_in:nat64 = va_get_reg64 rR12 va_s0 in
adx_enabled /\ bmi2_enabled /\
Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0)
dst_in
dst_b
4
(va_get_mem_layout va_s0)
Secret /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0)
inA_in
inA_b
4
(va_get_mem_layout va_s0)
Secret /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0)
tmp_in
tmp_b
8
(va_get_mem_layout va_s0)
Secret) /\
(forall (va_x_mem: vale_heap) (va_x_rax: nat64) (va_x_rbx: nat64) (va_x_rcx: nat64)
(va_x_rdx: nat64) (va_x_rdi: nat64) (va_x_rsi: nat64) (va_x_r8: nat64) (va_x_r9: nat64)
(va_x_r10: nat64) (va_x_r11: nat64) (va_x_r13: nat64) (va_x_r14: nat64) (va_x_r15: nat64)
(va_x_efl: Vale.X64.Flags.t) (va_x_heap0: vale_heap) (va_x_memLayout: vale_heap_layout).
let va_sM =
va_upd_mem_layout va_x_memLayout
(va_upd_mem_heaplet 0
va_x_heap0
(va_upd_flags va_x_efl
(va_upd_reg64 rR15
va_x_r15
(va_upd_reg64 rR14
va_x_r14
(va_upd_reg64 rR13
va_x_r13
(va_upd_reg64 rR11
va_x_r11
(va_upd_reg64 rR10
va_x_r10
(va_upd_reg64 rR9
va_x_r9
(va_upd_reg64 rR8
va_x_r8
(va_upd_reg64 rRsi
va_x_rsi
(va_upd_reg64 rRdi
va_x_rdi
(va_upd_reg64 rRdx
va_x_rdx
(va_upd_reg64 rRcx
va_x_rcx
(va_upd_reg64 rRbx
va_x_rbx
(va_upd_reg64 rRax
va_x_rax
(va_upd_mem va_x_mem va_s0))))
))))))))))))
in
va_get_ok va_sM /\
(let tmp_in:nat64 = va_get_reg64 rRdi va_s0 in
let inA_in:nat64 = va_get_reg64 rRsi va_s0 in
let dst_in:nat64 = va_get_reg64 rR12 va_s0 in
let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in
let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in
let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in
let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in
let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in
let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in
let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in
let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in
let a = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in
let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in
d `op_Modulus` prime == (va_mul_nat a a) `op_Modulus` prime /\
va_get_reg64 rR12 va_s0 == va_get_reg64 rR12 va_sM /\
Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b (va_get_mem va_s0) (va_get_mem va_sM)) ==>
va_k va_sM (()))) | false |
Vale.Curve25519.X64.FastWide.fsti | Vale.Curve25519.X64.FastWide.va_ens_Fsqr | val va_ens_Fsqr
(va_b0: va_code)
(va_s0: va_state)
(tmp_b inA_b dst_b: buffer64)
(va_sM: va_state)
(va_fM: va_fuel)
: prop | val va_ens_Fsqr
(va_b0: va_code)
(va_s0: va_state)
(tmp_b inA_b dst_b: buffer64)
(va_sM: va_state)
(va_fM: va_fuel)
: prop | let va_ens_Fsqr (va_b0:va_code) (va_s0:va_state) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
(va_sM:va_state) (va_fM:va_fuel) : prop =
(va_req_Fsqr va_b0 va_s0 tmp_b inA_b dst_b /\ va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) =
va_get_reg64 rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR12 va_s0 in let a0 =
Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1 =
Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_four
d0 d1 d2 d3 in d `op_Modulus` prime == va_mul_nat a a `op_Modulus` prime /\ va_get_reg64 rR12
va_s0 == va_get_reg64 rR12 va_sM /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b (va_get_mem
va_s0) (va_get_mem va_sM)) /\ va_state_eq va_sM (va_update_mem_layout va_sM
(va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))) | {
"file_name": "obj/Vale.Curve25519.X64.FastWide.fsti",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 69,
"end_line": 855,
"start_col": 0,
"start_line": 833
} | module Vale.Curve25519.X64.FastWide
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.X64.Machine_s
open Vale.X64.Memory
open Vale.X64.Stack_i
open Vale.X64.State
open Vale.X64.Decls
open Vale.X64.InsBasic
open Vale.X64.InsMem
open Vale.X64.InsStack
open Vale.X64.QuickCode
open Vale.X64.QuickCodes
open Vale.Curve25519.Fast_defs
open Vale.X64.CPU_Features_s
//-- Fmul
val va_code_Fmul : va_dummy:unit -> Tot va_code
val va_codegen_success_Fmul : va_dummy:unit -> Tot va_pbool
let va_req_Fmul (va_b0:va_code) (va_s0:va_state) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
(inB_b:buffer64) : prop =
(va_require_total va_b0 (va_code_Fmul ()) va_s0 /\ va_get_ok va_s0 /\ (let (tmp_in:nat64) =
va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0 in let (dst_in:nat64) =
va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64 rRcx va_s0 in adx_enabled /\
bmi2_enabled /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret))
let va_ens_Fmul (va_b0:va_code) (va_s0:va_state) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
(inB_b:buffer64) (va_sM:va_state) (va_fM:va_fuel) : prop =
(va_req_Fmul va_b0 va_s0 tmp_b inA_b dst_b inB_b /\ va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) =
va_get_reg64 rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) =
va_get_reg64 rRcx va_s0 in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in
let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM)) /\ va_state_eq va_sM (va_update_mem_layout va_sM
(va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsi va_sM
(va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem
va_sM va_s0))))))))))))))))))
val va_lemma_Fmul : va_b0:va_code -> va_s0:va_state -> tmp_b:buffer64 -> inA_b:buffer64 ->
dst_b:buffer64 -> inB_b:buffer64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Fmul ()) va_s0 /\ va_get_ok va_s0 /\ (let
(tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0 in let
(dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64 rRcx va_s0 in
adx_enabled /\ bmi2_enabled /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0)
(va_get_mem va_s0) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0
in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64 rRcx va_s0
in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1 =
Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM)) /\ va_state_eq va_sM (va_update_mem_layout va_sM
(va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsi va_sM
(va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem
va_sM va_s0)))))))))))))))))))
[@ va_qattr]
let va_wp_Fmul (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64) (va_s0:va_state)
(va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) =
va_get_reg64 rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) =
va_get_reg64 rRcx va_s0 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Memory.is_initial_heap
(va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/
dst_b == inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64)
(va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rdi:nat64) (va_x_rsi:nat64)
(va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64)
(va_x_r14:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap)
(va_x_memLayout:vale_heap_layout) . let va_sM = va_upd_mem_layout va_x_memLayout
(va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64
rRdi va_x_rdi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx
va_x_rbx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))))))))) in va_get_ok
va_sM /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64
rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64
rRcx va_s0 in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1 =
Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM)) ==> va_k va_sM (())))
val va_wpProof_Fmul : tmp_b:buffer64 -> inA_b:buffer64 -> dst_b:buffer64 -> inB_b:buffer64 ->
va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Fmul tmp_b inA_b dst_b inB_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fmul ()) ([va_Mod_mem_layout;
va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@ "opaque_to_smt" va_qattr]
let va_quick_Fmul (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64) :
(va_quickCode unit (va_code_Fmul ())) =
(va_QProc (va_code_Fmul ()) ([va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64
rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64
rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64
rRbx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Fmul tmp_b inA_b dst_b inB_b) (va_wpProof_Fmul
tmp_b inA_b dst_b inB_b))
//--
//-- Fmul_stdcall
val va_code_Fmul_stdcall : win:bool -> Tot va_code
val va_codegen_success_Fmul_stdcall : win:bool -> Tot va_pbool
let va_req_Fmul_stdcall (va_b0:va_code) (va_s0:va_state) (win:bool) (tmp_b:buffer64)
(inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64) : prop =
(va_require_total va_b0 (va_code_Fmul_stdcall win) va_s0 /\ va_get_ok va_s0 /\ (let
(tmp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else
va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (dst_in:(va_int_range 0
18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in
let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR9 va_s0 else
va_get_reg64 rRcx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack
va_s0) /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(adx_enabled /\ bmi2_enabled) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b ==
inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret))
let va_ens_Fmul_stdcall (va_b0:va_code) (va_s0:va_state) (win:bool) (tmp_b:buffer64)
(inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64) (va_sM:va_state) (va_fM:va_fuel) : prop =
(va_req_Fmul_stdcall va_b0 va_s0 win tmp_b inA_b dst_b inB_b /\ va_ensure_total va_b0 va_s0 va_sM
va_fM /\ va_get_ok va_sM /\ (let (tmp_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0
18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in
let (dst_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else
va_get_reg64 rRdx va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rR9 va_s0 else va_get_reg64 rRcx va_s0) in let a0 = Vale.X64.Decls.buffer64_read
inA_b 0 (va_get_mem va_s0) in let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0)
in let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM) /\ (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx
va_s0) /\ (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ (win ==> va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_s0) /\ (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi
va_s0) /\ (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ (win ==> va_get_reg64
rR13 va_sM == va_get_reg64 rR13 va_s0) /\ (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14
va_s0) /\ (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ (~win ==>
va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ (~win ==> va_get_reg64 rRbp va_sM ==
va_get_reg64 rRbp va_s0) /\ (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\
(~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ (~win ==> va_get_reg64 rR15
va_sM == va_get_reg64 rR15 va_s0) /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\
va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout
va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem
va_sM va_s0)))))))))))))))))))))))
val va_lemma_Fmul_stdcall : va_b0:va_code -> va_s0:va_state -> win:bool -> tmp_b:buffer64 ->
inA_b:buffer64 -> dst_b:buffer64 -> inB_b:buffer64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Fmul_stdcall win) va_s0 /\ va_get_ok va_s0 /\ (let
(tmp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else
va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (dst_in:(va_int_range 0
18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in
let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR9 va_s0 else
va_get_reg64 rRcx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack
va_s0) /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(adx_enabled /\ bmi2_enabled) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b ==
inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (tmp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else
va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (dst_in:(va_int_range 0
18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in
let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR9 va_s0 else
va_get_reg64 rRcx va_s0) in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in
let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM) /\ (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx
va_s0) /\ (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ (win ==> va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_s0) /\ (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi
va_s0) /\ (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ (win ==> va_get_reg64
rR13 va_sM == va_get_reg64 rR13 va_s0) /\ (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14
va_s0) /\ (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ (~win ==>
va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ (~win ==> va_get_reg64 rRbp va_sM ==
va_get_reg64 rRbp va_s0) /\ (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\
(~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ (~win ==> va_get_reg64 rR15
va_sM == va_get_reg64 rR15 va_s0) /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\
va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout
va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem
va_sM va_s0))))))))))))))))))))))))
[@ va_qattr]
let va_wp_Fmul_stdcall (win:bool) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
(inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (tmp_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ ->
va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0
18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64
rRsi va_s0) in let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ ->
va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in let (inB_in:(va_int_range 0
18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR9 va_s0) (fun _ -> va_get_reg64
rRcx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack va_s0) /\
Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (adx_enabled /\
bmi2_enabled) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 8 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64)
(va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (va_x_rdi:nat64)
(va_x_rbp:nat64) (va_x_rsp:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64)
(va_x_r11:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_efl:Vale.X64.Flags.t)
(va_x_heap0:vale_heap) (va_x_memLayout:vale_heap_layout) (va_x_stack:vale_stack)
(va_x_stackTaint:memtaint) . let va_sM = va_upd_stackTaint va_x_stackTaint (va_upd_stack
va_x_stack (va_upd_mem_layout va_x_memLayout (va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags
va_x_efl (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13
(va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rRsp va_x_rsp (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRdi va_x_rdi
(va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem
va_s0)))))))))))))))))))) in va_get_ok va_sM /\ (let (tmp_in:(va_int_range 0
18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64
rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ ->
va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (dst_in:(va_int_range 0
18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64
rRdx va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ ->
va_get_reg64 rR9 va_s0) (fun _ -> va_get_reg64 rRcx va_s0) in let a0 =
Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1 =
Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 =
Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 =
Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 =
Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime
== va_mul_nat a b `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b
(va_get_mem va_s0) (va_get_mem va_sM) /\ (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx
va_s0) /\ (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ (win ==> va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_s0) /\ (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi
va_s0) /\ (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ (win ==> va_get_reg64
rR13 va_sM == va_get_reg64 rR13 va_s0) /\ (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14
va_s0) /\ (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ (~win ==>
va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ (~win ==> va_get_reg64 rRbp va_sM ==
va_get_reg64 rRbp va_s0) /\ (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\
(~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ (~win ==> va_get_reg64 rR15
va_sM == va_get_reg64 rR15 va_s0) /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) ==>
va_k va_sM (())))
val va_wpProof_Fmul_stdcall : win:bool -> tmp_b:buffer64 -> inA_b:buffer64 -> dst_b:buffer64 ->
inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Fmul_stdcall win tmp_b inA_b dst_b inB_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fmul_stdcall win) ([va_Mod_stackTaint;
va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15;
va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@ "opaque_to_smt" va_qattr]
let va_quick_Fmul_stdcall (win:bool) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
(inB_b:buffer64) : (va_quickCode unit (va_code_Fmul_stdcall win)) =
(va_QProc (va_code_Fmul_stdcall win) ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout;
va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp;
va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Fmul_stdcall win tmp_b inA_b dst_b
inB_b) (va_wpProof_Fmul_stdcall win tmp_b inA_b dst_b inB_b))
//--
//-- Fmul2
val va_code_Fmul2 : va_dummy:unit -> Tot va_code
val va_codegen_success_Fmul2 : va_dummy:unit -> Tot va_pbool
let va_req_Fmul2 (va_b0:va_code) (va_s0:va_state) (tmp_b:buffer64) (inA_b:buffer64)
(dst_b:buffer64) (inB_b:buffer64) : prop =
(va_require_total va_b0 (va_code_Fmul2 ()) va_s0 /\ va_get_ok va_s0 /\ (let (tmp_in:nat64) =
va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0 in let (dst_in:nat64) =
va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64 rRcx va_s0 in adx_enabled /\
bmi2_enabled /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 8 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 8 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 8
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 16 (va_get_mem_layout va_s0) Secret))
let va_ens_Fmul2 (va_b0:va_code) (va_s0:va_state) (tmp_b:buffer64) (inA_b:buffer64)
(dst_b:buffer64) (inB_b:buffer64) (va_sM:va_state) (va_fM:va_fuel) : prop =
(va_req_Fmul2 va_b0 va_s0 tmp_b inA_b dst_b inB_b /\ va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) =
va_get_reg64 rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) =
va_get_reg64 rRcx va_s0 in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in
let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let a0' = Vale.X64.Decls.buffer64_read inA_b (0 + 4) (va_get_mem va_s0) in let
a1' = Vale.X64.Decls.buffer64_read inA_b (1 + 4) (va_get_mem va_s0) in let a2' =
Vale.X64.Decls.buffer64_read inA_b (2 + 4) (va_get_mem va_s0) in let a3' =
Vale.X64.Decls.buffer64_read inA_b (3 + 4) (va_get_mem va_s0) in let b0' =
Vale.X64.Decls.buffer64_read inB_b (0 + 4) (va_get_mem va_s0) in let b1' =
Vale.X64.Decls.buffer64_read inB_b (1 + 4) (va_get_mem va_s0) in let b2' =
Vale.X64.Decls.buffer64_read inB_b (2 + 4) (va_get_mem va_s0) in let b3' =
Vale.X64.Decls.buffer64_read inB_b (3 + 4) (va_get_mem va_s0) in let a' =
Vale.Curve25519.Fast_defs.pow2_four a0' a1' a2' a3' in let b' =
Vale.Curve25519.Fast_defs.pow2_four b0' b1' b2' b3' in let d0 = Vale.X64.Decls.buffer64_read
dst_b 0 (va_get_mem va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM)
in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let d =
Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in let d0' = Vale.X64.Decls.buffer64_read dst_b
(0 + 4) (va_get_mem va_sM) in let d1' = Vale.X64.Decls.buffer64_read dst_b (1 + 4) (va_get_mem
va_sM) in let d2' = Vale.X64.Decls.buffer64_read dst_b (2 + 4) (va_get_mem va_sM) in let d3' =
Vale.X64.Decls.buffer64_read dst_b (3 + 4) (va_get_mem va_sM) in let d' =
Vale.Curve25519.Fast_defs.pow2_four d0' d1' d2' d3' in d `op_Modulus` prime == va_mul_nat a b
`op_Modulus` prime /\ d' `op_Modulus` prime == va_mul_nat a' b' `op_Modulus` prime /\
Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b (va_get_mem va_s0) (va_get_mem va_sM)) /\
va_state_eq va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags
va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))
val va_lemma_Fmul2 : va_b0:va_code -> va_s0:va_state -> tmp_b:buffer64 -> inA_b:buffer64 ->
dst_b:buffer64 -> inB_b:buffer64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Fmul2 ()) va_s0 /\ va_get_ok va_s0 /\ (let
(tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0 in let
(dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64 rRcx va_s0 in
adx_enabled /\ bmi2_enabled /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0)
(va_get_mem va_s0) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 8 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 8 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 8
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 16 (va_get_mem_layout va_s0) Secret)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0
in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64 rRcx va_s0
in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1 =
Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let a0' = Vale.X64.Decls.buffer64_read inA_b (0 + 4) (va_get_mem va_s0) in let
a1' = Vale.X64.Decls.buffer64_read inA_b (1 + 4) (va_get_mem va_s0) in let a2' =
Vale.X64.Decls.buffer64_read inA_b (2 + 4) (va_get_mem va_s0) in let a3' =
Vale.X64.Decls.buffer64_read inA_b (3 + 4) (va_get_mem va_s0) in let b0' =
Vale.X64.Decls.buffer64_read inB_b (0 + 4) (va_get_mem va_s0) in let b1' =
Vale.X64.Decls.buffer64_read inB_b (1 + 4) (va_get_mem va_s0) in let b2' =
Vale.X64.Decls.buffer64_read inB_b (2 + 4) (va_get_mem va_s0) in let b3' =
Vale.X64.Decls.buffer64_read inB_b (3 + 4) (va_get_mem va_s0) in let a' =
Vale.Curve25519.Fast_defs.pow2_four a0' a1' a2' a3' in let b' =
Vale.Curve25519.Fast_defs.pow2_four b0' b1' b2' b3' in let d0 = Vale.X64.Decls.buffer64_read
dst_b 0 (va_get_mem va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM)
in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let d =
Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in let d0' = Vale.X64.Decls.buffer64_read dst_b
(0 + 4) (va_get_mem va_sM) in let d1' = Vale.X64.Decls.buffer64_read dst_b (1 + 4) (va_get_mem
va_sM) in let d2' = Vale.X64.Decls.buffer64_read dst_b (2 + 4) (va_get_mem va_sM) in let d3' =
Vale.X64.Decls.buffer64_read dst_b (3 + 4) (va_get_mem va_sM) in let d' =
Vale.Curve25519.Fast_defs.pow2_four d0' d1' d2' d3' in d `op_Modulus` prime == va_mul_nat a b
`op_Modulus` prime /\ d' `op_Modulus` prime == va_mul_nat a' b' `op_Modulus` prime /\
Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b (va_get_mem va_s0) (va_get_mem va_sM)) /\
va_state_eq va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags
va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))))))))
[@ va_qattr]
let va_wp_Fmul2 (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64)
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) =
va_get_reg64 rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) =
va_get_reg64 rRcx va_s0 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Memory.is_initial_heap
(va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/
dst_b == inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 8 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 8 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 8
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 16 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64)
(va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rdi:nat64) (va_x_rsi:nat64)
(va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64)
(va_x_r14:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap)
(va_x_memLayout:vale_heap_layout) . let va_sM = va_upd_mem_layout va_x_memLayout
(va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64
rRdi va_x_rdi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx
va_x_rbx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))))))))) in va_get_ok
va_sM /\ (let (tmp_in:nat64) = va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64
rRsi va_s0 in let (dst_in:nat64) = va_get_reg64 rR15 va_s0 in let (inB_in:nat64) = va_get_reg64
rRcx va_s0 in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1 =
Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let a0' = Vale.X64.Decls.buffer64_read inA_b (0 + 4) (va_get_mem va_s0) in let
a1' = Vale.X64.Decls.buffer64_read inA_b (1 + 4) (va_get_mem va_s0) in let a2' =
Vale.X64.Decls.buffer64_read inA_b (2 + 4) (va_get_mem va_s0) in let a3' =
Vale.X64.Decls.buffer64_read inA_b (3 + 4) (va_get_mem va_s0) in let b0' =
Vale.X64.Decls.buffer64_read inB_b (0 + 4) (va_get_mem va_s0) in let b1' =
Vale.X64.Decls.buffer64_read inB_b (1 + 4) (va_get_mem va_s0) in let b2' =
Vale.X64.Decls.buffer64_read inB_b (2 + 4) (va_get_mem va_s0) in let b3' =
Vale.X64.Decls.buffer64_read inB_b (3 + 4) (va_get_mem va_s0) in let a' =
Vale.Curve25519.Fast_defs.pow2_four a0' a1' a2' a3' in let b' =
Vale.Curve25519.Fast_defs.pow2_four b0' b1' b2' b3' in let d0 = Vale.X64.Decls.buffer64_read
dst_b 0 (va_get_mem va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM)
in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let d =
Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in let d0' = Vale.X64.Decls.buffer64_read dst_b
(0 + 4) (va_get_mem va_sM) in let d1' = Vale.X64.Decls.buffer64_read dst_b (1 + 4) (va_get_mem
va_sM) in let d2' = Vale.X64.Decls.buffer64_read dst_b (2 + 4) (va_get_mem va_sM) in let d3' =
Vale.X64.Decls.buffer64_read dst_b (3 + 4) (va_get_mem va_sM) in let d' =
Vale.Curve25519.Fast_defs.pow2_four d0' d1' d2' d3' in d `op_Modulus` prime == va_mul_nat a b
`op_Modulus` prime /\ d' `op_Modulus` prime == va_mul_nat a' b' `op_Modulus` prime /\
Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b (va_get_mem va_s0) (va_get_mem va_sM)) ==> va_k
va_sM (())))
val va_wpProof_Fmul2 : tmp_b:buffer64 -> inA_b:buffer64 -> dst_b:buffer64 -> inB_b:buffer64 ->
va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Fmul2 tmp_b inA_b dst_b inB_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fmul2 ()) ([va_Mod_mem_layout;
va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@ "opaque_to_smt" va_qattr]
let va_quick_Fmul2 (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64) :
(va_quickCode unit (va_code_Fmul2 ())) =
(va_QProc (va_code_Fmul2 ()) ([va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags;
va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Fmul2 tmp_b inA_b dst_b inB_b)
(va_wpProof_Fmul2 tmp_b inA_b dst_b inB_b))
//--
//-- Fmul2_stdcall
val va_code_Fmul2_stdcall : win:bool -> Tot va_code
val va_codegen_success_Fmul2_stdcall : win:bool -> Tot va_pbool
let va_req_Fmul2_stdcall (va_b0:va_code) (va_s0:va_state) (win:bool) (tmp_b:buffer64)
(inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64) : prop =
(va_require_total va_b0 (va_code_Fmul2_stdcall win) va_s0 /\ va_get_ok va_s0 /\ (let
(tmp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else
va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (dst_in:(va_int_range 0
18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in
let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR9 va_s0 else
va_get_reg64 rRcx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack
va_s0) /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(adx_enabled /\ bmi2_enabled) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b ==
inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 8 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 8 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 8
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 16 (va_get_mem_layout va_s0) Secret))
let va_ens_Fmul2_stdcall (va_b0:va_code) (va_s0:va_state) (win:bool) (tmp_b:buffer64)
(inA_b:buffer64) (dst_b:buffer64) (inB_b:buffer64) (va_sM:va_state) (va_fM:va_fuel) : prop =
(va_req_Fmul2_stdcall va_b0 va_s0 win tmp_b inA_b dst_b inB_b /\ va_ensure_total va_b0 va_s0
va_sM va_fM /\ va_get_ok va_sM /\ (let (tmp_in:(va_int_range 0 18446744073709551615)) = (if win
then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0
18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in
let (dst_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else
va_get_reg64 rRdx va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rR9 va_s0 else va_get_reg64 rRcx va_s0) in let a0 = Vale.X64.Decls.buffer64_read
inA_b 0 (va_get_mem va_s0) in let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0)
in let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let a0' = Vale.X64.Decls.buffer64_read inA_b (0 + 4) (va_get_mem va_s0) in let
a1' = Vale.X64.Decls.buffer64_read inA_b (1 + 4) (va_get_mem va_s0) in let a2' =
Vale.X64.Decls.buffer64_read inA_b (2 + 4) (va_get_mem va_s0) in let a3' =
Vale.X64.Decls.buffer64_read inA_b (3 + 4) (va_get_mem va_s0) in let b0' =
Vale.X64.Decls.buffer64_read inB_b (0 + 4) (va_get_mem va_s0) in let b1' =
Vale.X64.Decls.buffer64_read inB_b (1 + 4) (va_get_mem va_s0) in let b2' =
Vale.X64.Decls.buffer64_read inB_b (2 + 4) (va_get_mem va_s0) in let b3' =
Vale.X64.Decls.buffer64_read inB_b (3 + 4) (va_get_mem va_s0) in let a' =
Vale.Curve25519.Fast_defs.pow2_four a0' a1' a2' a3' in let b' =
Vale.Curve25519.Fast_defs.pow2_four b0' b1' b2' b3' in let d0 = Vale.X64.Decls.buffer64_read
dst_b 0 (va_get_mem va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM)
in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let d =
Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in let d0' = Vale.X64.Decls.buffer64_read dst_b
(0 + 4) (va_get_mem va_sM) in let d1' = Vale.X64.Decls.buffer64_read dst_b (1 + 4) (va_get_mem
va_sM) in let d2' = Vale.X64.Decls.buffer64_read dst_b (2 + 4) (va_get_mem va_sM) in let d3' =
Vale.X64.Decls.buffer64_read dst_b (3 + 4) (va_get_mem va_sM) in let d' =
Vale.Curve25519.Fast_defs.pow2_four d0' d1' d2' d3' in d `op_Modulus` prime == va_mul_nat a b
`op_Modulus` prime /\ d' `op_Modulus` prime == va_mul_nat a' b' `op_Modulus` prime /\
Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (win ==>
va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ (win ==> va_get_reg64 rRbp va_sM ==
va_get_reg64 rRbp va_s0) /\ (win ==> va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\
(win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0) /\ (win ==> va_get_reg64 rRsp
va_sM == va_get_reg64 rRsp va_s0) /\ (win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13
va_s0) /\ (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ (win ==> va_get_reg64
rR15 va_sM == va_get_reg64 rR15 va_s0) /\ (~win ==> va_get_reg64 rRbx va_sM == va_get_reg64
rRbx va_s0) /\ (~win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ (~win ==>
va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ (~win ==> va_get_reg64 rR14 va_sM ==
va_get_reg64 rR14 va_s0) /\ (~win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\
va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ va_state_eq va_sM (va_update_stackTaint
va_sM (va_update_stack va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM
(va_update_flags va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64
rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM
(va_update_reg64 rRdi va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))))))))))))
val va_lemma_Fmul2_stdcall : va_b0:va_code -> va_s0:va_state -> win:bool -> tmp_b:buffer64 ->
inA_b:buffer64 -> dst_b:buffer64 -> inB_b:buffer64
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Fmul2_stdcall win) va_s0 /\ va_get_ok va_s0 /\ (let
(tmp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else
va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (dst_in:(va_int_range 0
18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in
let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR9 va_s0 else
va_get_reg64 rRcx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack
va_s0) /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\
(adx_enabled /\ bmi2_enabled) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b ==
inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 8 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 8 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 8
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 16 (va_get_mem_layout va_s0) Secret)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (tmp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else
va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then
va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (dst_in:(va_int_range 0
18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in
let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR9 va_s0 else
va_get_reg64 rRcx va_s0) in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in
let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let a0' = Vale.X64.Decls.buffer64_read inA_b (0 + 4) (va_get_mem va_s0) in let
a1' = Vale.X64.Decls.buffer64_read inA_b (1 + 4) (va_get_mem va_s0) in let a2' =
Vale.X64.Decls.buffer64_read inA_b (2 + 4) (va_get_mem va_s0) in let a3' =
Vale.X64.Decls.buffer64_read inA_b (3 + 4) (va_get_mem va_s0) in let b0' =
Vale.X64.Decls.buffer64_read inB_b (0 + 4) (va_get_mem va_s0) in let b1' =
Vale.X64.Decls.buffer64_read inB_b (1 + 4) (va_get_mem va_s0) in let b2' =
Vale.X64.Decls.buffer64_read inB_b (2 + 4) (va_get_mem va_s0) in let b3' =
Vale.X64.Decls.buffer64_read inB_b (3 + 4) (va_get_mem va_s0) in let a' =
Vale.Curve25519.Fast_defs.pow2_four a0' a1' a2' a3' in let b' =
Vale.Curve25519.Fast_defs.pow2_four b0' b1' b2' b3' in let d0 = Vale.X64.Decls.buffer64_read
dst_b 0 (va_get_mem va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM)
in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let d =
Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in let d0' = Vale.X64.Decls.buffer64_read dst_b
(0 + 4) (va_get_mem va_sM) in let d1' = Vale.X64.Decls.buffer64_read dst_b (1 + 4) (va_get_mem
va_sM) in let d2' = Vale.X64.Decls.buffer64_read dst_b (2 + 4) (va_get_mem va_sM) in let d3' =
Vale.X64.Decls.buffer64_read dst_b (3 + 4) (va_get_mem va_sM) in let d' =
Vale.Curve25519.Fast_defs.pow2_four d0' d1' d2' d3' in d `op_Modulus` prime == va_mul_nat a b
`op_Modulus` prime /\ d' `op_Modulus` prime == va_mul_nat a' b' `op_Modulus` prime /\
Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (win ==>
va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ (win ==> va_get_reg64 rRbp va_sM ==
va_get_reg64 rRbp va_s0) /\ (win ==> va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\
(win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0) /\ (win ==> va_get_reg64 rRsp
va_sM == va_get_reg64 rRsp va_s0) /\ (win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13
va_s0) /\ (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ (win ==> va_get_reg64
rR15 va_sM == va_get_reg64 rR15 va_s0) /\ (~win ==> va_get_reg64 rRbx va_sM == va_get_reg64
rRbx va_s0) /\ (~win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ (~win ==>
va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ (~win ==> va_get_reg64 rR14 va_sM ==
va_get_reg64 rR14 va_s0) /\ (~win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\
va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ va_state_eq va_sM (va_update_stackTaint
va_sM (va_update_stack va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM
(va_update_flags va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64
rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM
(va_update_reg64 rRdi va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))))
[@ va_qattr]
let va_wp_Fmul2_stdcall (win:bool) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
(inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (tmp_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ ->
va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0
18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64
rRsi va_s0) in let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ ->
va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in let (inB_in:(va_int_range 0
18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR9 va_s0) (fun _ -> va_get_reg64
rRcx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack va_s0) /\
Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (adx_enabled /\
bmi2_enabled) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\
(Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.buffers_disjoint tmp_b inB_b /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 8 (va_get_mem_layout va_s0)
Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 8 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 8
(va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in
tmp_b 16 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64)
(va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (va_x_rdi:nat64)
(va_x_rbp:nat64) (va_x_rsp:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64)
(va_x_r11:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_efl:Vale.X64.Flags.t)
(va_x_heap0:vale_heap) (va_x_memLayout:vale_heap_layout) (va_x_stack:vale_stack)
(va_x_stackTaint:memtaint) . let va_sM = va_upd_stackTaint va_x_stackTaint (va_upd_stack
va_x_stack (va_upd_mem_layout va_x_memLayout (va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags
va_x_efl (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13
(va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rRsp va_x_rsp (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRdi va_x_rdi
(va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem
va_s0)))))))))))))))))))) in va_get_ok va_sM /\ (let (tmp_in:(va_int_range 0
18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64
rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ ->
va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (dst_in:(va_int_range 0
18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64
rRdx va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ ->
va_get_reg64 rR9 va_s0) (fun _ -> va_get_reg64 rRcx va_s0) in let a0 =
Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1 =
Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 =
Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 =
Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 =
Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 =
Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 =
Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 =
Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let a =
Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four
b0 b1 b2 b3 in let a0' = Vale.X64.Decls.buffer64_read inA_b (0 + 4) (va_get_mem va_s0) in let
a1' = Vale.X64.Decls.buffer64_read inA_b (1 + 4) (va_get_mem va_s0) in let a2' =
Vale.X64.Decls.buffer64_read inA_b (2 + 4) (va_get_mem va_s0) in let a3' =
Vale.X64.Decls.buffer64_read inA_b (3 + 4) (va_get_mem va_s0) in let b0' =
Vale.X64.Decls.buffer64_read inB_b (0 + 4) (va_get_mem va_s0) in let b1' =
Vale.X64.Decls.buffer64_read inB_b (1 + 4) (va_get_mem va_s0) in let b2' =
Vale.X64.Decls.buffer64_read inB_b (2 + 4) (va_get_mem va_s0) in let b3' =
Vale.X64.Decls.buffer64_read inB_b (3 + 4) (va_get_mem va_s0) in let a' =
Vale.Curve25519.Fast_defs.pow2_four a0' a1' a2' a3' in let b' =
Vale.Curve25519.Fast_defs.pow2_four b0' b1' b2' b3' in let d0 = Vale.X64.Decls.buffer64_read
dst_b 0 (va_get_mem va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM)
in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 =
Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let d =
Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in let d0' = Vale.X64.Decls.buffer64_read dst_b
(0 + 4) (va_get_mem va_sM) in let d1' = Vale.X64.Decls.buffer64_read dst_b (1 + 4) (va_get_mem
va_sM) in let d2' = Vale.X64.Decls.buffer64_read dst_b (2 + 4) (va_get_mem va_sM) in let d3' =
Vale.X64.Decls.buffer64_read dst_b (3 + 4) (va_get_mem va_sM) in let d' =
Vale.Curve25519.Fast_defs.pow2_four d0' d1' d2' d3' in d `op_Modulus` prime == va_mul_nat a b
`op_Modulus` prime /\ d' `op_Modulus` prime == va_mul_nat a' b' `op_Modulus` prime /\
Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (win ==>
va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ (win ==> va_get_reg64 rRbp va_sM ==
va_get_reg64 rRbp va_s0) /\ (win ==> va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\
(win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0) /\ (win ==> va_get_reg64 rRsp
va_sM == va_get_reg64 rRsp va_s0) /\ (win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13
va_s0) /\ (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ (win ==> va_get_reg64
rR15 va_sM == va_get_reg64 rR15 va_s0) /\ (~win ==> va_get_reg64 rRbx va_sM == va_get_reg64
rRbx va_s0) /\ (~win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ (~win ==>
va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ (~win ==> va_get_reg64 rR14 va_sM ==
va_get_reg64 rR14 va_s0) /\ (~win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\
va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) ==> va_k va_sM (())))
val va_wpProof_Fmul2_stdcall : win:bool -> tmp_b:buffer64 -> inA_b:buffer64 -> dst_b:buffer64 ->
inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Fmul2_stdcall win tmp_b inA_b dst_b inB_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fmul2_stdcall win)
([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags;
va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10;
va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi;
va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax;
va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@ "opaque_to_smt" va_qattr]
let va_quick_Fmul2_stdcall (win:bool) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
(inB_b:buffer64) : (va_quickCode unit (va_code_Fmul2_stdcall win)) =
(va_QProc (va_code_Fmul2_stdcall win) ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout;
va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp;
va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Fmul2_stdcall win tmp_b inA_b dst_b
inB_b) (va_wpProof_Fmul2_stdcall win tmp_b inA_b dst_b inB_b))
//--
//-- Fsqr
val va_code_Fsqr : va_dummy:unit -> Tot va_code
val va_codegen_success_Fsqr : va_dummy:unit -> Tot va_pbool
let va_req_Fsqr (va_b0:va_code) (va_s0:va_state) (tmp_b:buffer64) (inA_b:buffer64) (dst_b:buffer64)
: prop =
(va_require_total va_b0 (va_code_Fsqr ()) va_s0 /\ va_get_ok va_s0 /\ (let (tmp_in:nat64) =
va_get_reg64 rRdi va_s0 in let (inA_in:nat64) = va_get_reg64 rRsi va_s0 in let (dst_in:nat64) =
va_get_reg64 rR12 va_s0 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Memory.is_initial_heap
(va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/
dst_b == inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b tmp_b \/ dst_b == tmp_b) /\
Vale.X64.Decls.buffers_disjoint tmp_b inA_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem
va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) tmp_in tmp_b 8 (va_get_mem_layout va_s0) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.State.fsti.checked",
"Vale.X64.Stack_i.fsti.checked",
"Vale.X64.QuickCodes.fsti.checked",
"Vale.X64.QuickCode.fst.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.InsStack.fsti.checked",
"Vale.X64.InsMem.fsti.checked",
"Vale.X64.InsBasic.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fsti.checked",
"Vale.X64.CPU_Features_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Curve25519.Fast_defs.fst.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": false,
"source_file": "Vale.Curve25519.X64.FastWide.fsti"
} | [
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Curve25519.Fast_defs",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsStack",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Stack_i",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_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": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Curve25519.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Curve25519.X64",
"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": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_b0: Vale.X64.Decls.va_code ->
va_s0: Vale.X64.Decls.va_state ->
tmp_b: Vale.X64.Memory.buffer64 ->
inA_b: Vale.X64.Memory.buffer64 ->
dst_b: Vale.X64.Memory.buffer64 ->
va_sM: Vale.X64.Decls.va_state ->
va_fM: Vale.X64.Decls.va_fuel
-> Prims.prop | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.Memory.buffer64",
"Vale.X64.Decls.va_fuel",
"Prims.l_and",
"Vale.Curve25519.X64.FastWide.va_req_Fsqr",
"Vale.X64.Decls.va_ensure_total",
"Prims.b2t",
"Vale.X64.Decls.va_get_ok",
"Prims.eq2",
"Prims.int",
"Prims.op_Modulus",
"Vale.Curve25519.Fast_defs.prime",
"Vale.X64.Decls.va_mul_nat",
"Vale.Def.Types_s.nat64",
"Vale.X64.Decls.va_get_reg64",
"Vale.X64.Machine_s.rR12",
"Vale.X64.Decls.modifies_buffer_2",
"Vale.X64.Decls.va_get_mem",
"Prims.nat",
"Vale.Curve25519.Fast_defs.pow2_four",
"Vale.Def.Words_s.nat64",
"Vale.X64.Decls.buffer64_read",
"Vale.X64.Machine_s.rRsi",
"Vale.X64.Machine_s.rRdi",
"Vale.X64.Decls.va_state_eq",
"Vale.X64.Decls.va_update_mem_layout",
"Vale.X64.Decls.va_update_mem_heaplet",
"Vale.X64.Decls.va_update_flags",
"Vale.X64.Decls.va_update_reg64",
"Vale.X64.Machine_s.rR15",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Machine_s.rR13",
"Vale.X64.Machine_s.rR11",
"Vale.X64.Machine_s.rR10",
"Vale.X64.Machine_s.rR9",
"Vale.X64.Machine_s.rR8",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Machine_s.rRcx",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Decls.va_update_ok",
"Vale.X64.Decls.va_update_mem",
"Prims.prop"
] | [] | false | false | false | true | true | let va_ens_Fsqr
(va_b0: va_code)
(va_s0: va_state)
(tmp_b inA_b dst_b: buffer64)
(va_sM: va_state)
(va_fM: va_fuel)
: prop =
| (va_req_Fsqr va_b0 va_s0 tmp_b inA_b dst_b /\ va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\
(let tmp_in:nat64 = va_get_reg64 rRdi va_s0 in
let inA_in:nat64 = va_get_reg64 rRsi va_s0 in
let dst_in:nat64 = va_get_reg64 rR12 va_s0 in
let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in
let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in
let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in
let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in
let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in
let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in
let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in
let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in
let a = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in
let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in
d `op_Modulus` prime == (va_mul_nat a a) `op_Modulus` prime /\
va_get_reg64 rR12 va_s0 == va_get_reg64 rR12 va_sM /\
Vale.X64.Decls.modifies_buffer_2 dst_b tmp_b (va_get_mem va_s0) (va_get_mem va_sM)) /\
va_state_eq va_sM
(va_update_mem_layout va_sM
(va_update_mem_heaplet 0
va_sM
(va_update_flags va_sM
(va_update_reg64 rR15
va_sM
(va_update_reg64 rR14
va_sM
(va_update_reg64 rR13
va_sM
(va_update_reg64 rR11
va_sM
(va_update_reg64 rR10
va_sM
(va_update_reg64 rR9
va_sM
(va_update_reg64 rR8
va_sM
(va_update_reg64 rRsi
va_sM
(va_update_reg64 rRdi
va_sM
(va_update_reg64 rRdx
va_sM
(va_update_reg64 rRcx
va_sM
(va_update_reg64 rRbx
va_sM
(va_update_reg64 rRax
va_sM
(va_update_ok va_sM
(va_update_mem va_sM va_s0))
))))))))))))))))) | false |
Vale.AES.X64.AESGCM.fst | Vale.AES.X64.AESGCM.va_wp_Loop6x_loop_while0 | val va_wp_Loop6x_loop_while0
(va_old: va_state)
(alg: algorithm)
(va_in_count: nat)
(va_in_ctr_BE_orig va_in_h_LE: quad32)
(va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b: buffer128)
(va_in_key_words: (seq nat32))
(va_in_keys_b va_in_out_b: buffer128)
(va_in_plain_quads va_in_round_keys: (seq quad32))
(va_in_scratch_b: buffer128)
(va_in_y_orig va_in_ctr: quad32)
(va_in_iter: nat)
(va_in_y_cur: quad32)
(va_s0: va_state)
(va_k: (va_state -> (quad32 & nat & quad32) -> Type0))
: Type0 | val va_wp_Loop6x_loop_while0
(va_old: va_state)
(alg: algorithm)
(va_in_count: nat)
(va_in_ctr_BE_orig va_in_h_LE: quad32)
(va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b: buffer128)
(va_in_key_words: (seq nat32))
(va_in_keys_b va_in_out_b: buffer128)
(va_in_plain_quads va_in_round_keys: (seq quad32))
(va_in_scratch_b: buffer128)
(va_in_y_orig va_in_ctr: quad32)
(va_in_iter: nat)
(va_in_y_cur: quad32)
(va_s0: va_state)
(va_k: (va_state -> (quad32 & nat & quad32) -> Type0))
: Type0 | let va_wp_Loop6x_loop_while0 (va_old:va_state) (alg:algorithm) (va_in_count:nat)
(va_in_ctr_BE_orig:quad32) (va_in_h_LE:quad32) (va_in_hkeys_b:buffer128) (va_in_in0_b:buffer128)
(va_in_in_b:buffer128) (va_in_iv_b:buffer128) (va_in_key_words:(seq nat32))
(va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32))
(va_in_round_keys:(seq quad32)) (va_in_scratch_b:buffer128) (va_in_y_orig:quad32)
(va_in_ctr:quad32) (va_in_iter:nat) (va_in_y_cur:quad32) (va_s0:va_state) (va_k:(va_state ->
(quad32 & nat & quad32) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_s0 == va_get_reg64
rRdx va_old - 6 `op_Multiply` va_in_iter /\ va_get_reg64 rR14 va_s0 == va_get_reg64 rR14 va_old
+ 96 `op_Multiply` va_in_iter /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old + 96
`op_Multiply` va_in_iter /\ va_get_reg64 rRsi va_s0 == va_get_reg64 rRsi va_old + 96
`op_Multiply` va_in_iter /\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2
va_s0) (va_get_reg64 rR8 va_s0) va_in_iv_b 1 (va_get_mem_layout va_s0) Public /\ (va_get_reg64
rRdx va_s0 > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b ((va_in_count - 1) `op_Multiply` 6 + va_in_iter
`op_Multiply` 6) (va_get_reg64 rRdx va_old - va_in_iter `op_Multiply` 6) (va_get_mem_layout
va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi va_s0) va_in_in_b (va_in_count `op_Multiply` 6
+ va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - va_in_iter `op_Multiply` 6)
(va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
va_in_out_b (va_in_count `op_Multiply` 6 + va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - va_in_iter `op_Multiply` 6) (va_get_mem_layout va_s0) Secret) /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
va_in_scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) va_in_hkeys_b 8 (va_get_mem_layout
va_s0) Secret /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b ==
va_in_out_b) /\ va_in_in0_b == va_in_out_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_s0
> 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in_b) (6 `op_Multiply` va_in_count + 6 `op_Multiply`
va_in_iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64
rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\ (va_get_reg64 rRdx va_s0 >
0 ==> va_get_reg64 rR14 va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\
(va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx
va_s0 < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b
(va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_s0) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 +
va_in_iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_s0 == 0 ==> va_get_reg64 rRdx va_old
>= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 +
va_get_reg64 rRdx va_old - 1)) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b
(va_get_mem_heaplet 2 va_old) (va_get_mem_heaplet 2 va_s0) 0 0 /\ aes_reqs_offset alg
va_in_key_words va_in_round_keys va_in_keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0
va_s0) (va_get_mem_layout va_s0) /\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32
va_in_round_keys 0 /\ pclmulqdq_enabled /\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg
va_in_key_words (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) /\
Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) va_in_hkeys_b)
(Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE) /\ va_in_count + va_in_iter - 2 >= 0 /\
(va_get_reg64 rRdx va_s0 > 0 ==> scratch_reqs va_in_scratch_b (va_in_count + va_in_iter - 2)
(va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in0_b)
(va_get_xmm 7 va_s0)) /\ (va_get_reg64 rRdx va_s0 == 0 ==> scratch_reqs va_in_scratch_b
(va_in_count + va_in_iter - 2) (va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in0_b) (Vale.X64.Decls.buffer128_read va_in_scratch_b 2
(va_get_mem_heaplet 3 va_s0))) /\ va_in_y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE
va_in_y_orig (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in0_b) 0 ((va_in_count + va_in_iter - 2) `op_Multiply` 6))
/\ (va_get_reg64 rRdx va_s0 > 0 ==> va_in_y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_s0)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_s0)))))) /\ (va_get_reg64 rRdx va_s0 == 0 ==> va_get_xmm 8 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 va_in_y_cur) /\ 2 <= va_in_count /\ va_get_reg64 rRdx
va_s0 `op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ (6 <= va_get_reg64 rRdx
va_old /\ va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_count
`op_Multiply` 6 + va_in_iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64 rRdx va_s0 > 0 ==>
va_get_reg64 rRdx va_s0 >= 6) /\ va_in_ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (6
`op_Multiply` va_in_count + va_in_iter `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 0) /\ va_get_reg64
rRbx va_s0 == va_in_ctr.lo0 `op_Modulus` 256 /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite va_in_ctr 0)) (va_get_xmm 15 va_s0)) /\ (va_get_reg64 rRdx va_s0 > 0
==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 10 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 1))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 2))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 3))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 4))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 5))) /\ (va_get_reg64
rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s0) (va_get_xmm 10 va_s0)
(va_get_xmm 11 va_s0) (va_get_xmm 12 va_s0) (va_get_xmm 13 va_s0) (va_get_xmm 14 va_s0)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_count + va_in_iter - 1)) /\
(va_get_reg64 rRdx va_s0 > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` va_in_iter) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_s0 == 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count + 6 `op_Multiply` (va_in_iter - 1))
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ (forall (va_x_efl:Vale.X64.Flags.t)
(va_x_heap2:vale_heap) (va_x_heap3:vale_heap) (va_x_heap6:vale_heap) (va_x_mem:vale_heap)
(va_x_ok:bool) (va_x_r11:nat64) (va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64)
(va_x_rbx:nat64) (va_x_rdi:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (va_x_xmm0:quad32)
(va_x_xmm1:quad32) (va_x_xmm10:quad32) (va_x_xmm11:quad32) (va_x_xmm12:quad32)
(va_x_xmm13:quad32) (va_x_xmm14:quad32) (va_x_xmm15:quad32) (va_x_xmm2:quad32)
(va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32) (va_x_xmm7:quad32)
(va_x_xmm8:quad32) (va_x_xmm9:quad32) (ctr:quad32) (iter:nat) (y_cur:quad32) . let va_sM =
va_upd_xmm 9 va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6 va_x_xmm6
(va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2
(va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13 va_x_xmm13 (va_upd_xmm 12
va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 1 va_x_xmm1
(va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRdi va_x_rdi (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13
va_x_r13 (va_upd_reg64 rR12 va_x_r12 (va_upd_reg64 rR11 va_x_r11 (va_upd_ok va_x_ok (va_upd_mem
va_x_mem (va_upd_mem_heaplet 6 va_x_heap6 (va_upd_mem_heaplet 3 va_x_heap3 (va_upd_mem_heaplet
2 va_x_heap2 (va_upd_flags va_x_efl va_s0))))))))))))))))))))))))))))) in va_get_ok va_sM /\
(sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_old - 6
`op_Multiply` iter /\ va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_old + 96 `op_Multiply`
iter /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96 `op_Multiply` iter /\
va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter /\ va_get_xmm 2
va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b ((va_in_count - 1) `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM >
0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRdi
va_sM) va_in_in_b (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM >
0 ==> Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRsi
va_sM) va_in_out_b (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_sM) (va_get_reg64 rRbp va_sM)
va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32) va_in_hkeys_b 8 (va_get_mem_layout
va_sM) Secret /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b ==
va_in_out_b) /\ va_in_in0_b == va_in_out_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_sM
> 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in_b) (6 `op_Multiply` va_in_count + 6 `op_Multiply` iter)
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdi va_sM + 16
`op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64 rRdx va_sM > 0 ==>
va_get_reg64 rR14 va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM <
pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b (va_get_mem_heaplet 3
va_old) (va_get_mem_heaplet 3 va_sM) 1 8 /\ Vale.X64.Decls.modifies_buffer_specific128
va_in_out_b (va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) (va_in_count
`op_Multiply` 6) (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx
va_sM == 0 ==> va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128
va_in_out_b (va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) (va_in_count
`op_Multiply` 6) (va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)
/\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_sM) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ va_in_count + iter - 2 >= 0 /\ (va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b
(va_in_count + iter - 2) (va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\ (va_get_reg64 rRdx va_sM == 0 ==> scratch_reqs
va_in_scratch_b (va_in_count + iter - 2) (va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in0_b) (Vale.X64.Decls.buffer128_read va_in_scratch_b 2
(va_get_mem_heaplet 3 va_sM))) /\ y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE
va_in_y_orig (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in0_b) 0 ((va_in_count + iter - 2) `op_Multiply` 6)) /\
(va_get_reg64 rRdx va_sM > 0 ==> y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_sM)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ 2 <= va_in_count /\ va_get_reg64 rRdx va_sM
`op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_sM < pow2_32 /\ (6 <= va_get_reg64 rRdx va_old /\
va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_count
`op_Multiply` 6 + iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64 rRdx va_sM > 0 ==>
va_get_reg64 rRdx va_sM >= 6) /\ ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (6
`op_Multiply` va_in_count + iter `op_Multiply` 6) /\ va_get_xmm 2 va_sM ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\ va_get_reg64 rRbx
va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256 /\ (va_get_reg64 rRdx
va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ (va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM
== Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ (va_get_reg64
rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ (va_get_reg64 rRdx
va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm 10 va_sM)
(va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14 va_sM)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_count + iter - 1)) /\
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` iter) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_sM == 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count + 6 `op_Multiply` (iter - 1))
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ ~(va_get_reg64 rRdx va_sM > 0) ==> va_k va_sM ((ctr,
iter, y_cur)))) | {
"file_name": "obj/Vale.AES.X64.AESGCM.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 19,
"end_line": 4540,
"start_col": 0,
"start_line": 4343
} | module Vale.AES.X64.AESGCM
open FStar.Mul
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.AES.AES_s
open Vale.X64.Machine_s
open Vale.X64.Memory
open Vale.X64.State
open Vale.X64.Decls
open Vale.X64.InsBasic
open Vale.X64.InsMem
open Vale.X64.InsVector
open Vale.X64.InsAes
open Vale.X64.QuickCode
open Vale.X64.QuickCodes
open Vale.Arch.Types
open Vale.AES.AES_helpers
//open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers
open Vale.AES.GCTR_s
open Vale.AES.GCTR
open Vale.Arch.TypesNative
open Vale.X64.CPU_Features_s
open Vale.AES.X64.PolyOps
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
open Vale.AES.X64.AESopt
open Vale.AES.X64.AESopt2
unfold let lo(x:poly):poly = mask x 64
unfold let hi(x:poly):poly = shift x (-64)
//let scratch_reqs (scratch_b:buffer128) (count:nat) (heap3:vale_heap) (s:seq quad32) (z3:quad32) : prop0 =
// count * 6 + 6 <= length s /\
// (let data = slice s (count * 6) (count * 6 + 6) in
// z3 == reverse_bytes_quad32 (index data 5) /\
// buffer128_read scratch_b 3 heap3 == reverse_bytes_quad32 (index data 4) /\
// buffer128_read scratch_b 4 heap3 == reverse_bytes_quad32 (index data 3) /\
// buffer128_read scratch_b 5 heap3 == reverse_bytes_quad32 (index data 2) /\
// buffer128_read scratch_b 6 heap3 == reverse_bytes_quad32 (index data 1) /\
// buffer128_read scratch_b 7 heap3 == reverse_bytes_quad32 (index data 0))
let scratch_reqs_simple (scratch_b:buffer128) (heap3:vale_heap) (data:seq quad32) (z3:quad32) : prop0 =
length data == 6 /\
z3 == reverse_bytes_quad32 (index data 5) /\
buffer128_read scratch_b 3 heap3 == reverse_bytes_quad32 (index data 4) /\
buffer128_read scratch_b 4 heap3 == reverse_bytes_quad32 (index data 3) /\
buffer128_read scratch_b 5 heap3 == reverse_bytes_quad32 (index data 2) /\
buffer128_read scratch_b 6 heap3 == reverse_bytes_quad32 (index data 1) /\
buffer128_read scratch_b 7 heap3 == reverse_bytes_quad32 (index data 0)
//-- finish_aes_encrypt_le
val finish_aes_encrypt_le : alg:algorithm -> input_LE:quad32 -> key:(seq nat32)
-> Lemma
(requires (Vale.AES.AES_s.is_aes_key_LE alg key))
(ensures (Vale.AES.AES_s.aes_encrypt_LE alg key input_LE == Vale.AES.AES_s.eval_cipher alg
input_LE (Vale.AES.AES_s.key_to_round_keys_LE alg key)))
let finish_aes_encrypt_le alg input_LE key =
Vale.AES.AES_s.aes_encrypt_LE_reveal ();
Vale.AES.AES_s.eval_cipher_reveal ();
()
//--
let va_subscript_FStar__Seq__Base__seq = Seq.index
#reset-options "--z3rlimit 30"
//-- Load_one_msb
val va_code_Load_one_msb : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Load_one_msb () =
(va_Block (va_CCons (va_code_ZeroXmm (va_op_xmm_xmm 2)) (va_CCons (va_code_PinsrqImm
(va_op_xmm_xmm 2) 72057594037927936 1 (va_op_reg_opr64_reg64 rR11)) (va_CNil ()))))
val va_codegen_success_Load_one_msb : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Load_one_msb () =
(va_pbool_and (va_codegen_success_ZeroXmm (va_op_xmm_xmm 2)) (va_pbool_and
(va_codegen_success_PinsrqImm (va_op_xmm_xmm 2) 72057594037927936 1 (va_op_reg_opr64_reg64
rR11)) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Load_one_msb (va_mods:va_mods_t) : (va_quickCode unit (va_code_Load_one_msb ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 145 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_ZeroXmm (va_op_xmm_xmm 2)) (fun (va_s:va_state) _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 146 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Arch.Types.two_to_nat32 (Vale.Def.Words_s.Mktwo #Vale.Def.Words_s.nat32 0 16777216) ==
72057594037927936) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 147 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_PinsrqImm (va_op_xmm_xmm 2) 72057594037927936 1 (va_op_reg_opr64_reg64 rR11)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.Def.Types_s.insert_nat64_reveal ()) (va_QEmpty (())))))))
val va_lemma_Load_one_msb : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Load_one_msb ()) va_s0 /\ va_get_ok va_s0 /\
sse_enabled))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
va_state_eq va_sM (va_update_flags va_sM (va_update_xmm 2 va_sM (va_update_reg64 rR11 va_sM
(va_update_ok va_sM va_s0))))))
[@"opaque_to_smt"]
let va_lemma_Load_one_msb va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_xmm 2; va_Mod_reg64 rR11; va_Mod_ok] in
let va_qc = va_qcode_Load_one_msb va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Load_one_msb ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 138 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 143 column 46 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 2; va_Mod_reg64 rR11; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Load_one_msb (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ sse_enabled /\ (forall (va_x_r11:nat64) (va_x_xmm2:quad32)
(va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_xmm 2 va_x_xmm2
(va_upd_reg64 rR11 va_x_r11 va_s0)) in va_get_ok va_sM /\ va_get_xmm 2 va_sM ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 ==> va_k va_sM (())))
val va_wpProof_Load_one_msb : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Load_one_msb va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Load_one_msb ()) ([va_Mod_flags;
va_Mod_xmm 2; va_Mod_reg64 rR11]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Load_one_msb va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Load_one_msb (va_code_Load_one_msb ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_xmm 2 va_sM (va_update_reg64 rR11
va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 2; va_Mod_reg64 rR11]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Load_one_msb () : (va_quickCode unit (va_code_Load_one_msb ())) =
(va_QProc (va_code_Load_one_msb ()) ([va_Mod_flags; va_Mod_xmm 2; va_Mod_reg64 rR11])
va_wp_Load_one_msb va_wpProof_Load_one_msb)
//--
//-- Ctr32_ghash_6_prelude
val va_code_Ctr32_ghash_6_prelude : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ctr32_ghash_6_prelude alg =
(va_Block (va_CCons (va_code_Load_one_msb ()) (va_CCons (va_code_VPxor (va_op_xmm_xmm 4)
(va_op_xmm_xmm 4) (va_op_opr128_xmm 4)) (va_CCons (va_code_Load128_buffer
(va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 15) (va_op_reg_opr64_reg64 rRcx) (0 - 128) Secret)
(va_CCons (va_code_VPaddd (va_op_xmm_xmm 10) (va_op_xmm_xmm 1) (va_op_xmm_xmm 2)) (va_CCons
(va_code_VPaddd (va_op_xmm_xmm 11) (va_op_xmm_xmm 10) (va_op_xmm_xmm 2)) (va_CCons
(va_code_VPaddd (va_op_xmm_xmm 12) (va_op_xmm_xmm 11) (va_op_xmm_xmm 2)) (va_CCons
(va_code_VPaddd (va_op_xmm_xmm 13) (va_op_xmm_xmm 12) (va_op_xmm_xmm 2)) (va_CCons
(va_code_VPaddd (va_op_xmm_xmm 14) (va_op_xmm_xmm 13) (va_op_xmm_xmm 2)) (va_CCons
(va_code_VPxor (va_op_xmm_xmm 9) (va_op_xmm_xmm 1) (va_op_opr128_xmm 15)) (va_CCons
(va_code_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 4) 16 Secret) (va_CNil ()))))))))))))
val va_codegen_success_Ctr32_ghash_6_prelude : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ctr32_ghash_6_prelude alg =
(va_pbool_and (va_codegen_success_Load_one_msb ()) (va_pbool_and (va_codegen_success_VPxor
(va_op_xmm_xmm 4) (va_op_xmm_xmm 4) (va_op_opr128_xmm 4)) (va_pbool_and
(va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 15)
(va_op_reg_opr64_reg64 rRcx) (0 - 128) Secret) (va_pbool_and (va_codegen_success_VPaddd
(va_op_xmm_xmm 10) (va_op_xmm_xmm 1) (va_op_xmm_xmm 2)) (va_pbool_and
(va_codegen_success_VPaddd (va_op_xmm_xmm 11) (va_op_xmm_xmm 10) (va_op_xmm_xmm 2))
(va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 12) (va_op_xmm_xmm 11) (va_op_xmm_xmm
2)) (va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 13) (va_op_xmm_xmm 12)
(va_op_xmm_xmm 2)) (va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 14) (va_op_xmm_xmm
13) (va_op_xmm_xmm 2)) (va_pbool_and (va_codegen_success_VPxor (va_op_xmm_xmm 9) (va_op_xmm_xmm
1) (va_op_opr128_xmm 15)) (va_pbool_and (va_codegen_success_Store128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 4) 16 Secret)
(va_ttrue ())))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ctr32_ghash_6_prelude (va_mods:va_mods_t) (alg:algorithm) (scratch_b:buffer128)
(key_words:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (ctr_orig:quad32) :
(va_quickCode unit (va_code_Ctr32_ghash_6_prelude alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 211 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load_one_msb ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 212 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 4) (va_op_xmm_xmm 4) (va_op_opr128_xmm 4)) (fun (va_s:va_state)
_ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.Arch.Types.lemma_quad32_xor ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 214 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 15)
(va_op_reg_opr64_reg64 rRcx) (0 - 128) Secret keys_b 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 215 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 10) (va_op_xmm_xmm 1) (va_op_xmm_xmm 2)) (fun (va_s:va_state) _
-> let (va_arg44:Vale.Def.Types_s.quad32) = va_get_xmm 10 va_s in let
(va_arg43:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_old_s in let
(va_arg42:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite ctr_orig 0 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.lemma_incr_msb va_arg42 va_arg43 va_arg44 1) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 216 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 11) (va_op_xmm_xmm 10) (va_op_xmm_xmm 2)) (fun (va_s:va_state)
_ -> let (va_arg41:Vale.Def.Types_s.quad32) = va_get_xmm 11 va_s in let
(va_arg40:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_old_s in let
(va_arg39:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite ctr_orig 0 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.lemma_incr_msb va_arg39 va_arg40 va_arg41 2) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 217 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 12) (va_op_xmm_xmm 11) (va_op_xmm_xmm 2)) (fun (va_s:va_state)
_ -> let (va_arg38:Vale.Def.Types_s.quad32) = va_get_xmm 12 va_s in let
(va_arg37:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_old_s in let
(va_arg36:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite ctr_orig 0 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 217 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.lemma_incr_msb va_arg36 va_arg37 va_arg38 3) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 218 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 13) (va_op_xmm_xmm 12) (va_op_xmm_xmm 2)) (fun (va_s:va_state)
_ -> let (va_arg35:Vale.Def.Types_s.quad32) = va_get_xmm 13 va_s in let
(va_arg34:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_old_s in let
(va_arg33:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite ctr_orig 0 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.lemma_incr_msb va_arg33 va_arg34 va_arg35 4) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 219 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 14) (va_op_xmm_xmm 13) (va_op_xmm_xmm 2)) (fun (va_s:va_state)
_ -> let (va_arg32:Vale.Def.Types_s.quad32) = va_get_xmm 14 va_s in let
(va_arg31:Vale.Def.Types_s.quad32) = va_get_xmm 1 va_old_s in let
(va_arg30:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite ctr_orig 0 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 219 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.AES_helpers.lemma_incr_msb va_arg30 va_arg31 va_arg32 5) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 220 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 9) (va_op_xmm_xmm 1) (va_op_opr128_xmm 15)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 221 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
(va_op_xmm_xmm 4) 16 Secret scratch_b 1) (va_QEmpty (())))))))))))))))))))
val va_lemma_Ctr32_ghash_6_prelude : va_b0:va_code -> va_s0:va_state -> alg:algorithm ->
scratch_b:buffer128 -> key_words:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 ->
ctr_orig:quad32
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Ctr32_ghash_6_prelude alg) va_s0 /\ va_get_ok va_s0 /\
(sse_enabled /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp
va_s0) scratch_b 8 (va_get_mem_layout va_s0) Secret /\ aes_reqs_offset alg key_words round_keys
keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\
va_get_xmm 1 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig
0))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 1 /\ va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32
round_keys 0 /\ va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 0)) (va_get_xmm 15
va_sM) /\ (let counter = Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_orig `op_Modulus` 256
in (counter + 6 < 256 ==> va_get_xmm 10 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 1)) /\ (counter + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 2)) /\ (counter + 6 <
256 ==> va_get_xmm 12 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_orig 3)) /\ (counter + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 4)) /\ (counter + 6 <
256 ==> va_get_xmm 14 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_orig 5)) /\ Vale.X64.Decls.buffer128_read scratch_b 1 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0 /\ va_get_xmm 4 va_sM ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0)) /\ va_state_eq va_sM (va_update_flags
va_sM (va_update_mem_heaplet 3 va_sM (va_update_reg64 rR11 va_sM (va_update_xmm 15 va_sM
(va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM
(va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 4 va_sM (va_update_xmm 2 va_sM
(va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ctr32_ghash_6_prelude va_b0 va_s0 alg scratch_b key_words round_keys keys_b ctr_orig =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_reg64 rR11; va_Mod_xmm 15;
va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9;
va_Mod_xmm 4; va_Mod_xmm 2; va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_Ctr32_ghash_6_prelude va_mods alg scratch_b key_words round_keys keys_b
ctr_orig in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ctr32_ghash_6_prelude alg) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 151 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ (label va_range1
"***** POSTCONDITION NOT MET AT line 194 column 72 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 1) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 196 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 197 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 round_keys 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 199 column 83 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 0)) (va_get_xmm 15 va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(let counter = Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_orig `op_Modulus` 256 in label
va_range1
"***** POSTCONDITION NOT MET AT line 201 column 85 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(counter + 6 < 256 ==> va_get_xmm 10 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 85 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(counter + 6 < 256 ==> va_get_xmm 11 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 2)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 203 column 85 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(counter + 6 < 256 ==> va_get_xmm 12 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 3)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 204 column 85 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(counter + 6 < 256 ==> va_get_xmm 13 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 4)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 205 column 85 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(counter + 6 < 256 ==> va_get_xmm 14 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 5)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 207 column 66 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffer128_read scratch_b 1 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 208 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 4 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_reg64 rR11; va_Mod_xmm 15;
va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9;
va_Mod_xmm 4; va_Mod_xmm 2; va_Mod_ok; va_Mod_mem]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Ctr32_ghash_6_prelude (alg:algorithm) (scratch_b:buffer128) (key_words:(seq nat32))
(round_keys:(seq quad32)) (keys_b:buffer128) (ctr_orig:quad32) (va_s0:va_state) (va_k:(va_state
-> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0)
(va_get_reg64 rRbp va_s0) scratch_b 8 (va_get_mem_layout va_s0) Secret /\ aes_reqs_offset alg
key_words round_keys keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0)
(va_get_mem_layout va_s0) /\ va_get_xmm 1 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 0)) /\ (forall (va_x_mem:vale_heap) (va_x_xmm2:quad32)
(va_x_xmm4:quad32) (va_x_xmm9:quad32) (va_x_xmm10:quad32) (va_x_xmm11:quad32)
(va_x_xmm12:quad32) (va_x_xmm13:quad32) (va_x_xmm14:quad32) (va_x_xmm15:quad32)
(va_x_r11:nat64) (va_x_heap3:vale_heap) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags
va_x_efl (va_upd_mem_heaplet 3 va_x_heap3 (va_upd_reg64 rR11 va_x_r11 (va_upd_xmm 15 va_x_xmm15
(va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13 va_x_xmm13 (va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11
va_x_xmm11 (va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 9 va_x_xmm9 (va_upd_xmm 4 va_x_xmm4
(va_upd_xmm 2 va_x_xmm2 (va_upd_mem va_x_mem va_s0)))))))))))) in va_get_ok va_sM /\
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 1 /\ va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32
round_keys 0 /\ va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 0)) (va_get_xmm 15
va_sM) /\ (let counter = Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_orig `op_Modulus` 256
in (counter + 6 < 256 ==> va_get_xmm 10 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_orig 1)) /\ (counter + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 2)) /\ (counter + 6 <
256 ==> va_get_xmm 12 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_orig 3)) /\ (counter + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_orig 4)) /\ (counter + 6 <
256 ==> va_get_xmm 14 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_orig 5)) /\ Vale.X64.Decls.buffer128_read scratch_b 1 (va_get_mem_heaplet 3 va_sM) ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0 /\ va_get_xmm 4 va_sM ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0)) ==> va_k va_sM (())))
val va_wpProof_Ctr32_ghash_6_prelude : alg:algorithm -> scratch_b:buffer128 -> key_words:(seq
nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> ctr_orig: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_Ctr32_ghash_6_prelude alg scratch_b key_words round_keys
keys_b ctr_orig va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ctr32_ghash_6_prelude alg)
([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_reg64 rR11; va_Mod_xmm 15; va_Mod_xmm 14;
va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 4;
va_Mod_xmm 2; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ctr32_ghash_6_prelude alg scratch_b key_words round_keys keys_b ctr_orig va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ctr32_ghash_6_prelude (va_code_Ctr32_ghash_6_prelude alg) va_s0 alg
scratch_b key_words round_keys keys_b ctr_orig in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 3 va_sM (va_update_reg64
rR11 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM
(va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 9 va_sM
(va_update_xmm 4 va_sM (va_update_xmm 2 va_sM (va_update_ok va_sM (va_update_mem va_sM
va_s0)))))))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_reg64 rR11; va_Mod_xmm 15;
va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9;
va_Mod_xmm 4; va_Mod_xmm 2; va_Mod_mem]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ctr32_ghash_6_prelude (alg:algorithm) (scratch_b:buffer128) (key_words:(seq nat32))
(round_keys:(seq quad32)) (keys_b:buffer128) (ctr_orig:quad32) : (va_quickCode unit
(va_code_Ctr32_ghash_6_prelude alg)) =
(va_QProc (va_code_Ctr32_ghash_6_prelude alg) ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_reg64
rR11; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10;
va_Mod_xmm 9; va_Mod_xmm 4; va_Mod_xmm 2; va_Mod_mem]) (va_wp_Ctr32_ghash_6_prelude alg
scratch_b key_words round_keys keys_b ctr_orig) (va_wpProof_Ctr32_ghash_6_prelude alg scratch_b
key_words round_keys keys_b ctr_orig))
//--
//-- Handle_ctr32_2
val va_code_Handle_ctr32_2 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Handle_ctr32_2 () =
(va_Block (va_CCons (va_code_VPshufb (va_op_xmm_xmm 6) (va_op_xmm_xmm 1) (va_op_xmm_xmm 0))
(va_CCons (va_code_Load_one_lsb (va_op_xmm_xmm 5)) (va_CCons (va_code_VPaddd (va_op_xmm_xmm 10)
(va_op_xmm_xmm 6) (va_op_xmm_xmm 5)) (va_CCons (va_code_Load_two_lsb (va_op_xmm_xmm 5))
(va_CCons (va_code_VPaddd (va_op_xmm_xmm 11) (va_op_xmm_xmm 6) (va_op_xmm_xmm 5)) (va_CCons
(va_code_VPaddd (va_op_xmm_xmm 12) (va_op_xmm_xmm 10) (va_op_xmm_xmm 5)) (va_CCons
(va_code_VPshufb (va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_xmm_xmm 0)) (va_CCons
(va_code_VPaddd (va_op_xmm_xmm 13) (va_op_xmm_xmm 11) (va_op_xmm_xmm 5)) (va_CCons
(va_code_VPshufb (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_xmm_xmm 0)) (va_CCons
(va_code_VPxor (va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_opr128_xmm 4)) (va_CCons
(va_code_VPaddd (va_op_xmm_xmm 14) (va_op_xmm_xmm 12) (va_op_xmm_xmm 5)) (va_CCons
(va_code_VPshufb (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_xmm_xmm 0)) (va_CCons
(va_code_VPxor (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_opr128_xmm 4)) (va_CCons
(va_code_VPaddd (va_op_xmm_xmm 1) (va_op_xmm_xmm 13) (va_op_xmm_xmm 5)) (va_CCons
(va_code_VPshufb (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_xmm_xmm 0)) (va_CCons
(va_code_VPxor (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_opr128_xmm 4)) (va_CCons
(va_code_VPshufb (va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_xmm_xmm 0)) (va_CCons
(va_code_VPxor (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_opr128_xmm 4)) (va_CCons
(va_code_VPshufb (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm 0)) (va_CCons
(va_code_VPxor (va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_opr128_xmm 4)) (va_CNil
()))))))))))))))))))))))
val va_codegen_success_Handle_ctr32_2 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Handle_ctr32_2 () =
(va_pbool_and (va_codegen_success_VPshufb (va_op_xmm_xmm 6) (va_op_xmm_xmm 1) (va_op_xmm_xmm 0))
(va_pbool_and (va_codegen_success_Load_one_lsb (va_op_xmm_xmm 5)) (va_pbool_and
(va_codegen_success_VPaddd (va_op_xmm_xmm 10) (va_op_xmm_xmm 6) (va_op_xmm_xmm 5))
(va_pbool_and (va_codegen_success_Load_two_lsb (va_op_xmm_xmm 5)) (va_pbool_and
(va_codegen_success_VPaddd (va_op_xmm_xmm 11) (va_op_xmm_xmm 6) (va_op_xmm_xmm 5))
(va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 12) (va_op_xmm_xmm 10) (va_op_xmm_xmm
5)) (va_pbool_and (va_codegen_success_VPshufb (va_op_xmm_xmm 10) (va_op_xmm_xmm 10)
(va_op_xmm_xmm 0)) (va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 13) (va_op_xmm_xmm
11) (va_op_xmm_xmm 5)) (va_pbool_and (va_codegen_success_VPshufb (va_op_xmm_xmm 11)
(va_op_xmm_xmm 11) (va_op_xmm_xmm 0)) (va_pbool_and (va_codegen_success_VPxor (va_op_xmm_xmm
10) (va_op_xmm_xmm 10) (va_op_opr128_xmm 4)) (va_pbool_and (va_codegen_success_VPaddd
(va_op_xmm_xmm 14) (va_op_xmm_xmm 12) (va_op_xmm_xmm 5)) (va_pbool_and
(va_codegen_success_VPshufb (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_xmm_xmm 0))
(va_pbool_and (va_codegen_success_VPxor (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_opr128_xmm
4)) (va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 1) (va_op_xmm_xmm 13)
(va_op_xmm_xmm 5)) (va_pbool_and (va_codegen_success_VPshufb (va_op_xmm_xmm 13) (va_op_xmm_xmm
13) (va_op_xmm_xmm 0)) (va_pbool_and (va_codegen_success_VPxor (va_op_xmm_xmm 12)
(va_op_xmm_xmm 12) (va_op_opr128_xmm 4)) (va_pbool_and (va_codegen_success_VPshufb
(va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_xmm_xmm 0)) (va_pbool_and
(va_codegen_success_VPxor (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_opr128_xmm 4))
(va_pbool_and (va_codegen_success_VPshufb (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm
0)) (va_pbool_and (va_codegen_success_VPxor (va_op_xmm_xmm 14) (va_op_xmm_xmm 14)
(va_op_opr128_xmm 4)) (va_ttrue ())))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Handle_ctr32_2 (va_mods:va_mods_t) (ctr_BE:quad32) : (va_quickCode unit
(va_code_Handle_ctr32_2 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 253 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 6) (va_op_xmm_xmm 1) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 258 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load_one_lsb (va_op_xmm_xmm 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 260 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 10) (va_op_xmm_xmm 6) (va_op_xmm_xmm 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 262 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load_two_lsb (va_op_xmm_xmm 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 263 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 11) (va_op_xmm_xmm 6) (va_op_xmm_xmm 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 265 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 12) (va_op_xmm_xmm 10) (va_op_xmm_xmm 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 266 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 267 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 13) (va_op_xmm_xmm 11) (va_op_xmm_xmm 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 268 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 269 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 10) (va_op_xmm_xmm 10) (va_op_opr128_xmm 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 14) (va_op_xmm_xmm 12) (va_op_xmm_xmm 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 271 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 272 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 11) (va_op_xmm_xmm 11) (va_op_opr128_xmm 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 273 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPaddd (va_op_xmm_xmm 1) (va_op_xmm_xmm 13) (va_op_xmm_xmm 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 274 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 275 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 12) (va_op_xmm_xmm 12) (va_op_opr128_xmm 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 276 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 277 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 13) (va_op_xmm_xmm 13) (va_op_opr128_xmm 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPshufb (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPxor (va_op_xmm_xmm 14) (va_op_xmm_xmm 14) (va_op_opr128_xmm 4)) (va_QEmpty
(())))))))))))))))))))))))
val va_lemma_Handle_ctr32_2 : va_b0:va_code -> va_s0:va_state -> ctr_BE:quad32
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Handle_ctr32_2 ()) va_s0 /\ va_get_ok va_s0 /\
(avx_enabled /\ sse_enabled /\ va_get_xmm 0 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 ctr_BE)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(va_get_xmm 10 va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 1)) (va_get_xmm 4 va_sM) /\ va_get_xmm 11 va_sM ==
Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 2)) (va_get_xmm 4 va_sM) /\ va_get_xmm 12 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 3)) (va_get_xmm 4 va_sM)
/\ va_get_xmm 13 va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 4)) (va_get_xmm 4 va_sM) /\ va_get_xmm 14 va_sM ==
Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 5)) (va_get_xmm 4 va_sM) /\ va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 6)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_xmm
14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm
10 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1
va_sM (va_update_reg64 rR11 va_sM (va_update_ok va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Handle_ctr32_2 va_b0 va_s0 ctr_BE =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm
11; va_Mod_xmm 10; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_reg64 rR11;
va_Mod_ok] in
let va_qc = va_qcode_Handle_ctr32_2 va_mods ctr_BE in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Handle_ctr32_2 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ (label va_range1
"***** POSTCONDITION NOT MET AT line 246 column 77 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 10 va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 1)) (va_get_xmm 4 va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 247 column 77 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 11 va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 2)) (va_get_xmm 4 va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 248 column 77 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 12 va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 3)) (va_get_xmm 4 va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 249 column 77 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 13 va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 4)) (va_get_xmm 4 va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 250 column 77 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 14 va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 5)) (va_get_xmm 4 va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 251 column 72 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE
6)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11;
va_Mod_xmm 10; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_reg64 rR11;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Handle_ctr32_2 (ctr_BE:quad32) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ (avx_enabled /\ sse_enabled /\ va_get_xmm 0 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 ctr_BE) /\ (forall (va_x_r11:nat64) (va_x_xmm1:quad32)
(va_x_xmm2:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32) (va_x_xmm10:quad32)
(va_x_xmm11:quad32) (va_x_xmm12:quad32) (va_x_xmm13:quad32) (va_x_xmm14:quad32)
(va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_xmm 14 va_x_xmm14
(va_upd_xmm 13 va_x_xmm13 (va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10
va_x_xmm10 (va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 2 va_x_xmm2 (va_upd_xmm
1 va_x_xmm1 (va_upd_reg64 rR11 va_x_r11 va_s0)))))))))) in va_get_ok va_sM /\ (va_get_xmm 10
va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 1)) (va_get_xmm 4 va_sM) /\ va_get_xmm 11 va_sM ==
Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 2)) (va_get_xmm 4 va_sM) /\ va_get_xmm 12 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 3)) (va_get_xmm 4 va_sM)
/\ va_get_xmm 13 va_sM == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 4)) (va_get_xmm 4 va_sM) /\ va_get_xmm 14 va_sM ==
Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 5)) (va_get_xmm 4 va_sM) /\ va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 6)) ==> va_k va_sM (())))
val va_wpProof_Handle_ctr32_2 : ctr_BE: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_Handle_ctr32_2 ctr_BE va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Handle_ctr32_2 ()) ([va_Mod_flags;
va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 6;
va_Mod_xmm 5; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_reg64 rR11]) va_s0 va_k ((va_sM, va_f0,
va_g))))
[@"opaque_to_smt"]
let va_wpProof_Handle_ctr32_2 ctr_BE va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Handle_ctr32_2 (va_code_Handle_ctr32_2 ()) va_s0 ctr_BE in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM
(va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 6 va_sM
(va_update_xmm 5 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_reg64 rR11
va_sM (va_update_ok va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11;
va_Mod_xmm 10; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_reg64 rR11])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Handle_ctr32_2 (ctr_BE:quad32) : (va_quickCode unit (va_code_Handle_ctr32_2 ())) =
(va_QProc (va_code_Handle_ctr32_2 ()) ([va_Mod_flags; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm
12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 2; va_Mod_xmm 1;
va_Mod_reg64 rR11]) (va_wp_Handle_ctr32_2 ctr_BE) (va_wpProof_Handle_ctr32_2 ctr_BE))
//--
//-- Loop6x_decrypt
#push-options "--z3rlimit 300"
val va_code_Loop6x_decrypt : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Loop6x_decrypt alg =
(va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CCons (va_code_Loop6x_partial alg) (va_CCons (va_code_Loop6x_final alg)
(va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 6)) (va_CCons (va_IfElse
(va_cmp_gt (va_op_cmp_reg64 rRdx) (va_const_cmp 6)) (va_Block (va_CCons (va_code_Add64
(va_op_dst_opr64_reg64 rR14) (va_const_opr64 96)) (va_CNil ()))) (va_Block (va_CNil ())))
(va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_IfElse (va_cmp_gt
(va_op_cmp_reg64 rRdx) (va_const_cmp 0)) (va_Block (va_CCons (va_code_Loop6x_save_output ())
(va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 7)
(va_op_reg_opr64_reg64 rRbp) 32 Secret) (va_CCons (va_Block (va_CNil ())) (va_CNil ())))))
(va_Block (va_CCons (va_code_Mem128_lemma ()) (va_CCons (va_code_VPolyAdd (va_op_xmm_xmm 8)
(va_op_xmm_xmm 8) (va_opr_code_Mem128 (va_op_heaplet_mem_heaplet 3) (va_op_reg64_reg64 rRbp) 16
Secret)) (va_CCons (va_code_VPolyAdd (va_op_xmm_xmm 8) (va_op_xmm_xmm 8) (va_op_opr128_xmm 4))
(va_CNil ())))))) (va_CNil ()))))))))))))))
val va_codegen_success_Loop6x_decrypt : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Loop6x_decrypt alg =
(va_pbool_and (va_codegen_success_Loop6x_partial alg) (va_pbool_and
(va_codegen_success_Loop6x_final alg) (va_pbool_and (va_codegen_success_Sub64
(va_op_dst_opr64_reg64 rRdx) (va_const_opr64 6)) (va_pbool_and (va_codegen_success_Add64
(va_op_dst_opr64_reg64 rR14) (va_const_opr64 96)) (va_pbool_and (va_pbool_and
(va_codegen_success_Loop6x_save_output ()) (va_pbool_and (va_codegen_success_Load128_buffer
(va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 7) (va_op_reg_opr64_reg64 rRbp) 32 Secret)
(va_pbool_and (va_codegen_success_Mem128_lemma ()) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_xmm_xmm 8) (va_op_xmm_xmm 8) (va_opr_code_Mem128 (va_op_heaplet_mem_heaplet 3)
(va_op_reg64_reg64 rRbp) 16 Secret)) (va_codegen_success_VPolyAdd (va_op_xmm_xmm 8)
(va_op_xmm_xmm 8) (va_op_opr128_xmm 4)))))) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Loop6x_decrypt (va_mods:va_mods_t) (alg:algorithm) (h_LE:quad32) (y_orig:quad32)
(y_prev:quad32) (count:nat) (iv_b:buffer128) (in0_b:buffer128) (in_b:buffer128) (out_b:buffer128)
(scratch_b:buffer128) (plain_quads:(seq quad32)) (key_words:(seq nat32)) (round_keys:(seq
quad32)) (keys_b:buffer128) (hkeys_b:buffer128) (ctr_BE_orig:quad32) (ctr_BE:quad32) :
(va_quickCode (quad32) (va_code_Loop6x_decrypt alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(prev:Vale.Math.Poly2_s.poly) = add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s))
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_s))) (Vale.Math.Poly2.Bits_s.of_quad32
(Vale.X64.Decls.buffer128_read scratch_b 1 (va_get_mem_heaplet 3 va_s))) in let
(y_prev:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 prev) in va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 449 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.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.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in0_b) (count
`op_Multiply` 6) (count `op_Multiply` 6 + 6)) (fun _ -> let (data:(FStar.Seq.Base.seq
Vale.X64.Decls.quad32)) = FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) in0_b) (count `op_Multiply` 6) (count `op_Multiply` 6 + 6) in
va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 450 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.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.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in_b) (count
`op_Multiply` 6) (count `op_Multiply` 6 + 6)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 450 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(FStar.Seq.Base.equal #Vale.X64.Decls.quad32 data (FStar.Seq.Base.slice #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in_b) (count `op_Multiply` 6) (count
`op_Multiply` 6 + 6))) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 451 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.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.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in_b) (count
`op_Multiply` 6) (count `op_Multiply` 6 + 6) /\ (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)))) quad32 plain_quads (count `op_Multiply` 6) (count
`op_Multiply` 6 + 6)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 451 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(FStar.Seq.Base.equal #Vale.X64.Decls.quad32 (FStar.Seq.Base.slice #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in_b) (count `op_Multiply` 6) (count
`op_Multiply` 6 + 6)) (FStar.Seq.Base.slice #quad32 plain_quads (count `op_Multiply` 6) (count
`op_Multiply` 6 + 6))) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 453 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Math.Poly2_s.degree (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s)) < 128)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 454 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Math.Poly2_s.degree (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_s)) < 128)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 455 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Math.Poly2_s.degree (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
scratch_b 1 (va_get_mem_heaplet 3 va_s))) < 128) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Math.Poly2_s.degree prev < 128) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 457 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 prev) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x_partial alg h_LE y_prev data count (va_if (va_get_reg64 rRdx va_s > 6) (fun _
-> count + 1) (fun _ -> count)) iv_b in0_b in_b scratch_b key_words round_keys keys_b hkeys_b
ctr_BE) (fun (va_s:va_state) (init:quad32_6) -> let (eventual_Xi:Vale.Math.Poly2_s.poly) = add
(add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s)) (Vale.Math.Poly2.Bits_s.of_quad32
(Vale.X64.Decls.buffer128_read scratch_b 1 (va_get_mem_heaplet 3 va_s))))
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_s)) in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 463 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(eventual_Xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GHash.ghash_incremental h_LE y_prev data))) (let (ctrs:(six_of
Vale.Def.Types_s.quad32)) = make_six_of #Vale.Def.Types_s.quad32 (fun (i:(va_int_range 0 5)) ->
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE i)) in let
(plains:(six_of Vale.X64.Decls.quad32)) = make_six_of #Vale.X64.Decls.quad32 (fun
(i:(va_int_range 0 5)) -> Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + i)
(va_get_mem_heaplet 6 va_s)) in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 468 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x_final alg iv_b scratch_b key_words round_keys keys_b (Vale.AES.GCTR.inc32lite
ctr_BE 6) init ctrs plains (Vale.X64.Decls.buffer128_read in0_b (va_if (va_get_reg64 rRdx va_s
> 6) (fun _ -> count + 1) (fun _ -> count) `op_Multiply` 6 + 0) (va_get_mem_heaplet 6 va_s)))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 471 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 6)) (fun (va_s:va_state) _ ->
va_QBind va_range1
"***** PRECONDITION NOT MET AT line 472 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_qIf va_mods (Cmp_gt (va_op_cmp_reg64 rRdx) (va_const_cmp 6)) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 474 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rR14) (va_const_opr64 96)) (va_QEmpty (())))) (qblock
va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> let
(y_new:quad32) = Vale.AES.GHash.ghash_incremental0 h_LE y_prev data in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 479 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.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)))) quad32
plain_quads 0 (count `op_Multiply` 6)) (fun _ -> let (va_arg104:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = data in let (va_arg103:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #quad32 plain_quads 0 (count `op_Multiply` 6)
in let (va_arg102:Vale.Def.Types_s.quad32) = y_new in let (va_arg101:Vale.Def.Types_s.quad32) =
y_orig in let (va_arg100:Vale.Def.Types_s.quad32) = h_LE in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 479 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GHash.lemma_ghash_incremental0_append va_arg100 va_arg101 y_prev
va_arg102 va_arg103 va_arg104) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 480 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.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)))) quad32
plain_quads 0 (count `op_Multiply` 6)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 480 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(y_new == Vale.AES.GHash.ghash_incremental0 h_LE y_orig (FStar.Seq.Base.append #quad32
(FStar.Seq.Base.slice #quad32 plain_quads 0 (count `op_Multiply` 6)) data)) (va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 481 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.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)))) quad32
plain_quads 0 (count `op_Multiply` 6) /\ (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)))) quad32 plain_quads 0 ((count + 1) `op_Multiply` 6))
(fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 481 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(FStar.Seq.Base.equal #quad32 (FStar.Seq.Base.append #quad32 (FStar.Seq.Base.slice #quad32
plain_quads 0 (count `op_Multiply` 6)) data) (FStar.Seq.Base.slice #quad32 plain_quads 0
((count + 1) `op_Multiply` 6))) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 483 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.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)))) quad32
plain_quads 0 ((count + 1) `op_Multiply` 6)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 483 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(y_new == Vale.AES.GHash.ghash_incremental0 h_LE y_orig (FStar.Seq.Base.slice #quad32
plain_quads 0 ((count + 1) `op_Multiply` 6))) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 486 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_qIf va_mods (Cmp_gt (va_op_cmp_reg64 rRdx) (va_const_cmp 0)) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 488 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x_save_output count out_b) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 492 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 7) (va_op_reg_opr64_reg64
rRbp) 32 Secret scratch_b 2) (fun (va_s:va_state) _ -> let (plain:(FStar.Seq.Base.seq
Vale.X64.Decls.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old_s) in_b in let
(cipher:(FStar.Seq.Base.seq Vale.X64.Decls.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_s) out_b in let (bound:(va_int_at_least 0)) = count `op_Multiply` 6 in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 497 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(bound >= 0 /\ bound <= 4294967295) (fun _ -> let (va_arg99:Vale.Def.Types_s.quad32) =
ctr_BE_orig in let (va_arg98:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = key_words in let
(va_arg97:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = cipher in let
(va_arg96:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old_s) out_b in let (va_arg95:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = plain_quads in let (va_arg94:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = plain_quads in let (va_arg93:Vale.Def.Types_s.nat32) = bound in let
(va_arg92:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 497 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_partial_opaque_ignores_postfix va_arg92 va_arg93 va_arg94
va_arg95 va_arg96 va_arg97 va_arg98 va_arg99) (let (va_arg91:Vale.Def.Types_s.quad32) =
ctr_BE_orig in let (va_arg90:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = key_words in let
(va_arg89:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = cipher in let
(va_arg88:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = plain_quads in let
(va_arg87:Prims.nat) = bound in let (va_arg86:Vale.AES.AES_common_s.algorithm) = alg in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 499 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_partial_extend6 va_arg86 va_arg87 va_arg88 va_arg89
va_arg90 va_arg91) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s) in let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(Vale.X64.Decls.buffer128_read scratch_b 1 (va_get_mem_heaplet 3 va_s)) in let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 501 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GHash.lemma_add_manip va_arg83 va_arg84 va_arg85) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 507 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(y_new == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GHash.ghash_incremental h_LE y_prev data))))) (va_QEmpty (())))))))))) (qblock
va_mods (fun (va_s:va_state) -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 511 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(eventual_Xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GHash.ghash_incremental h_LE y_prev data))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 512 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Mem128_lemma (va_op_heaplet_mem_heaplet 3) (va_op_reg64_reg64 rRbp) 16 Secret
scratch_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 512 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPolyAdd (va_op_xmm_xmm 8) (va_op_xmm_xmm 8) (va_opr_code_Mem128
(va_op_heaplet_mem_heaplet 3) (va_op_reg64_reg64 rRbp) 16 Secret)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 513 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_VPolyAdd (va_op_xmm_xmm 8) (va_op_xmm_xmm 8) (va_op_opr128_xmm 4)) (fun
(va_s:va_state) _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 514 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s) == Vale.Math.Poly2.Bits_s.of_quad32
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GHash.ghash_incremental h_LE y_prev data)))
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 515 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s)) ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2.Bits_s.of_quad32
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GHash.ghash_incremental h_LE y_prev data))))
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 516 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 8 va_s == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GHash.ghash_incremental
h_LE y_prev data)) (va_QEmpty (()))))))))))) (fun (va_s:va_state) va_g -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 518 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_registers_reveal ()) (va_QEmpty
((y_new)))))))))))))))))))))))))))))
val va_lemma_Loop6x_decrypt : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> h_LE:quad32 ->
y_orig:quad32 -> y_prev:quad32 -> count:nat -> iv_b:buffer128 -> in0_b:buffer128 ->
in_b:buffer128 -> out_b:buffer128 -> scratch_b:buffer128 -> plain_quads:(seq quad32) ->
key_words:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 ->
ctr_BE_orig:quad32 -> ctr_BE:quad32
-> Ghost (va_state & va_fuel & quad32)
(requires (va_require_total va_b0 (va_code_Loop6x_decrypt alg) va_s0 /\ va_get_ok va_s0 /\
(sse_enabled /\ movbe_enabled /\ va_get_reg64 rRdx va_s0 >= 6 /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_s0) (va_get_reg64 rR8 va_s0) iv_b 1
(va_get_mem_layout va_s0) Public /\ (va_get_reg64 rRdx va_s0 > 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rR14 va_s0)
in0_b ((count + 1) `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx
va_s0 == 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64
rR14 va_s0) in0_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret) /\
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi va_s0)
in_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
out_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0)
Secret /\ Vale.AES.GCTR.partial_seq_agreement plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) in_b) (count `op_Multiply` 6) (count `op_Multiply` 6 + 6) /\
(Vale.X64.Decls.buffers_disjoint128 in_b out_b \/ in_b == out_b) /\ in0_b == in_b /\
va_get_reg64 rRdi va_s0 + 96 < pow2_64 /\ va_get_reg64 rR14 va_s0 + 96 < pow2_64 /\
va_get_reg64 rRsi va_s0 + 96 < pow2_64 /\ aes_reqs_offset alg key_words round_keys keys_b
(va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ va_get_xmm
15 va_s0 == FStar.Seq.Base.index #quad32 round_keys 0 /\ pclmulqdq_enabled /\ h_LE ==
Vale.AES.AES_s.aes_encrypt_LE alg key_words (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0)
hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ scratch_reqs scratch_b count
(va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in0_b)
(va_get_xmm 7 va_s0) /\ y_prev == Vale.AES.GHash.ghash_incremental0 h_LE y_orig
(FStar.Seq.Base.slice #quad32 plain_quads 0 (count `op_Multiply` 6)) /\ y_prev ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s0))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
scratch_b 1 (va_get_mem_heaplet 3 va_s0))))) /\ count `op_Multiply` 6 + 6 < pow2_32 /\ ctr_BE
== Vale.AES.GCTR.inc32lite ctr_BE_orig (count `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 0) /\ va_get_reg64 rRbx
va_s0 == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_BE `op_Modulus` 256 /\ va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 0)) (va_get_xmm 15 va_s0) /\ (va_get_reg64 rRbx va_s0 + 6 < 256
==> va_get_xmm 10 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 1)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 2)) /\ (va_get_reg64 rRbx
va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 3)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13
va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 4)) /\
(va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 5)) /\
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` count) plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) out_b) key_words ctr_BE_orig)))
(ensures (fun (va_sM, va_fM, y_new) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM
/\ ((va_get_reg64 rRdx va_sM == 0 ==> va_get_mem_heaplet 6 va_sM == va_get_mem_heaplet 6 va_s0)
/\ Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 8 /\ Vale.X64.Decls.modifies_buffer_specific128 out_b
(va_get_mem_heaplet 6 va_s0) (va_get_mem_heaplet 6 va_sM) (count `op_Multiply` 6 + 0) (count
`op_Multiply` 6 + 5) /\ Vale.X64.Decls.modifies_buffer_specific128 iv_b (va_get_mem_heaplet 2
va_s0) (va_get_mem_heaplet 2 va_sM) 0 0 /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.AES.GCTR.partial_seq_agreement plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_sM) in_b) ((count + 1) `op_Multiply` 6) ((count + 1) `op_Multiply` 6)) /\ va_get_reg64 rRdx
va_sM == va_get_reg64 rRdx va_s0 - 6 /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 + 96
/\ va_get_reg64 rR14 va_sM == (if (va_get_reg64 rRdx va_sM > 6) then (va_get_reg64 rR14 va_s0 +
96) else va_get_reg64 rR14 va_s0) /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + 96 /\
va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 round_keys 0 /\ va_get_xmm 2 va_sM ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 6) /\ (va_get_reg64 rRbx
va_sM + 6 < 256 ==> va_get_xmm 0 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 7)) /\ (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 5
va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 8)) /\
(va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 6 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 9)) /\ (va_get_reg64 rRdx
va_sM == 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 7 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 10))) /\ (va_get_reg64
rRbx va_sM + 6 < 256 ==> va_get_xmm 3 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 11)) /\ va_get_reg64 rRbx va_sM ==
Vale.Def.Words_s.__proj__Mkfour__item__lo0 (Vale.AES.GCTR.inc32lite ctr_BE 6) `op_Modulus` 256
/\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM)
(va_get_xmm 10 va_sM) (va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM)
(va_get_xmm 14 va_sM) plain_quads alg key_words ctr_BE_orig count) /\ (va_get_reg64 rRdx va_sM
> 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 6)) (va_get_xmm 15
va_sM)) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 10 va_sM == va_get_xmm 0 va_sM) /\
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 11 va_sM == va_get_xmm 5 va_sM) /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_xmm 12 va_sM == va_get_xmm 6 va_sM) /\ (va_get_reg64 rRdx va_sM > 0
==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 10))) /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_xmm 14 va_sM == va_get_xmm 3 va_sM) /\ (va_get_reg64 rRdx va_sM > 0
==> Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 0) (va_get_mem_heaplet 6
va_sM) == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply`
6 + 0) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 0))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 1) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 1)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 1))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 2) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 2)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 2))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 3) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 3)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 3))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 4) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 4)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 4))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 5) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 5)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 5))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` (count + 1)) plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) out_b) key_words ctr_BE_orig) /\ y_new ==
Vale.AES.GHash.ghash_incremental0 h_LE y_orig (FStar.Seq.Base.slice #quad32 plain_quads 0
((count + 1) `op_Multiply` 6)) /\ (va_get_reg64 rRdx va_sM > 0 ==> y_new ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_sM))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
scratch_b 1 (va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8
va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_new) /\ (va_get_reg64 rRdx va_sM > 0 ==>
scratch_reqs scratch_b (count + 1) (va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) in0_b) (va_get_xmm 7 va_sM))) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2 va_sM
(va_update_mem_heaplet 6 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm
13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm
9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5
va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1
va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM
(va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM
(va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Loop6x_decrypt va_b0 va_s0 alg h_LE y_orig y_prev count iv_b in0_b in_b out_b
scratch_b plain_quads key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2;
va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm
11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14;
va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_Loop6x_decrypt va_mods alg h_LE y_orig y_prev count iv_b in0_b in_b out_b
scratch_b plain_quads key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Loop6x_decrypt alg) va_qc va_s0 (fun
va_s0 va_sM va_g -> let y_new = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 290 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ (label va_range1
"***** POSTCONDITION NOT MET AT line 388 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_mem_heaplet 6 va_sM == va_get_mem_heaplet 6 va_s0) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 389 column 72 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 8) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 390 column 94 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 out_b (va_get_mem_heaplet 6 va_s0)
(va_get_mem_heaplet 6 va_sM) (count `op_Multiply` 6 + 0) (count `op_Multiply` 6 + 5)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 391 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 iv_b (va_get_mem_heaplet 2 va_s0)
(va_get_mem_heaplet 2 va_sM) 0 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 392 column 100 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.partial_seq_agreement plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) in_b) ((count + 1) `op_Multiply` 6) ((count +
1) `op_Multiply` 6)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 397 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_s0 - 6) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 398 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 + 96) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 399 column 64 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rR14 va_sM == va_if (va_get_reg64 rRdx va_sM > 6) (fun _ -> va_get_reg64 rR14
va_s0 + 96) (fun _ -> va_get_reg64 rR14 va_s0)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 400 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + 96) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 402 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 round_keys 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 405 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 407 column 59 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE
6)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 408 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 0 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 7)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 409 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 5 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 8)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 410 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 6 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 9)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 411 column 94 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 7 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 10))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 412 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 3 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 11)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 414 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 (Vale.AES.GCTR.inc32lite
ctr_BE 6) `op_Modulus` 256) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 418 column 85 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm
10 va_sM) (va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14
va_sM) plain_quads alg key_words ctr_BE_orig count) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 420 column 93 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 6)) (va_get_xmm 15
va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 421 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 10 va_sM == va_get_xmm 0 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 422 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 11 va_sM == va_get_xmm 5 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 423 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 12 va_sM == va_get_xmm 6 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 424 column 98 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 10))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 425 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 14 va_sM == va_get_xmm 3 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 427 column 177 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 +
0) (va_get_mem_heaplet 6 va_sM) == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read
in_b (count `op_Multiply` 6 + 0) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE 0))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 428 column 177 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 +
1) (va_get_mem_heaplet 6 va_sM) == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read
in_b (count `op_Multiply` 6 + 1) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE 1))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 429 column 177 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 +
2) (va_get_mem_heaplet 6 va_sM) == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read
in_b (count `op_Multiply` 6 + 2) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE 2))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 430 column 177 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 +
3) (va_get_mem_heaplet 6 va_sM) == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read
in_b (count `op_Multiply` 6 + 3) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE 3))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 431 column 177 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 +
4) (va_get_mem_heaplet 6 va_sM) == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read
in_b (count `op_Multiply` 6 + 4) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE 4))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 432 column 177 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 +
5) (va_get_mem_heaplet 6 va_sM) == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read
in_b (count `op_Multiply` 6 + 5) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE 5))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 435 column 108 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` (count + 1))
plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out_b) key_words ctr_BE_orig) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 438 column 90 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(y_new == Vale.AES.GHash.ghash_incremental0 h_LE y_orig (FStar.Seq.Base.slice #quad32
plain_quads 0 ((count + 1) `op_Multiply` 6))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 440 column 103 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> y_new == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_sM)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read scratch_b 1
(va_get_mem_heaplet 3 va_sM)))))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 441 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
y_new) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 443 column 89 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs scratch_b (count + 1) (va_get_mem_heaplet 3
va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in0_b) (va_get_xmm 7 va_sM)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet
6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10;
va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm
3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_reg64
rRdi; va_Mod_ok; va_Mod_mem]) va_sM va_s0;
let y_new = va_g in
(va_sM, va_fM, y_new)
[@ va_qattr]
let va_wp_Loop6x_decrypt (alg:algorithm) (h_LE:quad32) (y_orig:quad32) (y_prev:quad32) (count:nat)
(iv_b:buffer128) (in0_b:buffer128) (in_b:buffer128) (out_b:buffer128) (scratch_b:buffer128)
(plain_quads:(seq quad32)) (key_words:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128)
(hkeys_b:buffer128) (ctr_BE_orig:quad32) (ctr_BE:quad32) (va_s0:va_state) (va_k:(va_state ->
quad32 -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ movbe_enabled /\ va_get_reg64 rRdx va_s0 >= 6 /\ va_get_xmm 2
va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_s0) (va_get_reg64 rR8 va_s0) iv_b 1
(va_get_mem_layout va_s0) Public /\ (va_get_reg64 rRdx va_s0 > 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rR14 va_s0)
in0_b ((count + 1) `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx
va_s0 == 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64
rR14 va_s0) in0_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret) /\
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi va_s0)
in_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
out_b (count `op_Multiply` 6) 6 (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0)
Secret /\ Vale.AES.GCTR.partial_seq_agreement plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) in_b) (count `op_Multiply` 6) (count `op_Multiply` 6 + 6) /\
(Vale.X64.Decls.buffers_disjoint128 in_b out_b \/ in_b == out_b) /\ in0_b == in_b /\
va_get_reg64 rRdi va_s0 + 96 < pow2_64 /\ va_get_reg64 rR14 va_s0 + 96 < pow2_64 /\
va_get_reg64 rRsi va_s0 + 96 < pow2_64 /\ aes_reqs_offset alg key_words round_keys keys_b
(va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ va_get_xmm
15 va_s0 == FStar.Seq.Base.index #quad32 round_keys 0 /\ pclmulqdq_enabled /\ h_LE ==
Vale.AES.AES_s.aes_encrypt_LE alg key_words (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0)
hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ scratch_reqs scratch_b count
(va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in0_b)
(va_get_xmm 7 va_s0) /\ y_prev == Vale.AES.GHash.ghash_incremental0 h_LE y_orig
(FStar.Seq.Base.slice #quad32 plain_quads 0 (count `op_Multiply` 6)) /\ y_prev ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s0))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
scratch_b 1 (va_get_mem_heaplet 3 va_s0))))) /\ count `op_Multiply` 6 + 6 < pow2_32 /\ ctr_BE
== Vale.AES.GCTR.inc32lite ctr_BE_orig (count `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 0) /\ va_get_reg64 rRbx
va_s0 == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_BE `op_Modulus` 256 /\ va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 0)) (va_get_xmm 15 va_s0) /\ (va_get_reg64 rRbx va_s0 + 6 < 256
==> va_get_xmm 10 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 1)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 2)) /\ (va_get_reg64 rRbx
va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 3)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13
va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 4)) /\
(va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 5)) /\
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` count) plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) out_b) key_words ctr_BE_orig) /\ (forall (va_x_mem:vale_heap)
(va_x_rdi:nat64) (va_x_rsi:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r11:nat64)
(va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_xmm0:quad32) (va_x_xmm1:quad32)
(va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32)
(va_x_xmm7:quad32) (va_x_xmm8:quad32) (va_x_xmm9:quad32) (va_x_xmm10:quad32)
(va_x_xmm11:quad32) (va_x_xmm12:quad32) (va_x_xmm13:quad32) (va_x_xmm14:quad32)
(va_x_xmm15:quad32) (va_x_heap6:vale_heap) (va_x_heap2:vale_heap) (va_x_heap3:vale_heap)
(va_x_efl:Vale.X64.Flags.t) (y_new:quad32) . let va_sM = va_upd_flags va_x_efl
(va_upd_mem_heaplet 3 va_x_heap3 (va_upd_mem_heaplet 2 va_x_heap2 (va_upd_mem_heaplet 6
va_x_heap6 (va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13 va_x_xmm13
(va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 9
va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5
va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 1
va_x_xmm1 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13
(va_upd_reg64 rR12 va_x_r12 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdi va_x_rdi (va_upd_mem
va_x_mem va_s0)))))))))))))))))))))))))))) in va_get_ok va_sM /\ ((va_get_reg64 rRdx va_sM == 0
==> va_get_mem_heaplet 6 va_sM == va_get_mem_heaplet 6 va_s0) /\
Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 8 /\ Vale.X64.Decls.modifies_buffer_specific128 out_b
(va_get_mem_heaplet 6 va_s0) (va_get_mem_heaplet 6 va_sM) (count `op_Multiply` 6 + 0) (count
`op_Multiply` 6 + 5) /\ Vale.X64.Decls.modifies_buffer_specific128 iv_b (va_get_mem_heaplet 2
va_s0) (va_get_mem_heaplet 2 va_sM) 0 0 /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.AES.GCTR.partial_seq_agreement plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_sM) in_b) ((count + 1) `op_Multiply` 6) ((count + 1) `op_Multiply` 6)) /\ va_get_reg64 rRdx
va_sM == va_get_reg64 rRdx va_s0 - 6 /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 + 96
/\ va_get_reg64 rR14 va_sM == va_if (va_get_reg64 rRdx va_sM > 6) (fun _ -> va_get_reg64 rR14
va_s0 + 96) (fun _ -> va_get_reg64 rR14 va_s0) /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi
va_s0 + 96 /\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 round_keys 0 /\ va_get_xmm 2
va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM
== Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 6) /\ (va_get_reg64
rRbx va_sM + 6 < 256 ==> va_get_xmm 0 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 7)) /\ (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 5
va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 8)) /\
(va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 6 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 9)) /\ (va_get_reg64 rRdx
va_sM == 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 7 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 10))) /\ (va_get_reg64
rRbx va_sM + 6 < 256 ==> va_get_xmm 3 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 11)) /\ va_get_reg64 rRbx va_sM ==
Vale.Def.Words_s.__proj__Mkfour__item__lo0 (Vale.AES.GCTR.inc32lite ctr_BE 6) `op_Modulus` 256
/\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM)
(va_get_xmm 10 va_sM) (va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM)
(va_get_xmm 14 va_sM) plain_quads alg key_words ctr_BE_orig count) /\ (va_get_reg64 rRdx va_sM
> 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 6)) (va_get_xmm 15
va_sM)) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 10 va_sM == va_get_xmm 0 va_sM) /\
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 11 va_sM == va_get_xmm 5 va_sM) /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_xmm 12 va_sM == va_get_xmm 6 va_sM) /\ (va_get_reg64 rRdx va_sM > 0
==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 10))) /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_xmm 14 va_sM == va_get_xmm 3 va_sM) /\ (va_get_reg64 rRdx va_sM > 0
==> Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 0) (va_get_mem_heaplet 6
va_sM) == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply`
6 + 0) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 0))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 1) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 1)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 1))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 2) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 2)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 2))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 3) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 3)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 3))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 4) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 4)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 4))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.buffer128_read out_b (count `op_Multiply` 6 + 5) (va_get_mem_heaplet 6 va_sM) ==
Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b (count `op_Multiply` 6 + 5)
(va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words
(Vale.AES.GCTR.inc32lite ctr_BE 5))) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` (count + 1)) plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) out_b) key_words ctr_BE_orig) /\ y_new ==
Vale.AES.GHash.ghash_incremental0 h_LE y_orig (FStar.Seq.Base.slice #quad32 plain_quads 0
((count + 1) `op_Multiply` 6)) /\ (va_get_reg64 rRdx va_sM > 0 ==> y_new ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_sM))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
scratch_b 1 (va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8
va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_new) /\ (va_get_reg64 rRdx va_sM > 0 ==>
scratch_reqs scratch_b (count + 1) (va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) in0_b) (va_get_xmm 7 va_sM))) ==> va_k va_sM ((y_new))))
val va_wpProof_Loop6x_decrypt : alg:algorithm -> h_LE:quad32 -> y_orig:quad32 -> y_prev:quad32 ->
count:nat -> iv_b:buffer128 -> in0_b:buffer128 -> in_b:buffer128 -> out_b:buffer128 ->
scratch_b:buffer128 -> plain_quads:(seq quad32) -> key_words:(seq nat32) -> round_keys:(seq
quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 -> ctr_BE_orig:quad32 -> ctr_BE:quad32 ->
va_s0:va_state -> va_k:(va_state -> quad32 -> Type0)
-> Ghost (va_state & va_fuel & quad32)
(requires (va_t_require va_s0 /\ va_wp_Loop6x_decrypt alg h_LE y_orig y_prev count iv_b in0_b
in_b out_b scratch_b plain_quads key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE va_s0
va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Loop6x_decrypt alg) ([va_Mod_flags;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14;
va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8;
va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm
1; va_Mod_xmm 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11;
va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_mem]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Loop6x_decrypt alg h_LE y_orig y_prev count iv_b in0_b in_b out_b scratch_b
plain_quads key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE va_s0 va_k =
let (va_sM, va_f0, y_new) = va_lemma_Loop6x_decrypt (va_code_Loop6x_decrypt alg) va_s0 alg h_LE
y_orig y_prev count iv_b in0_b in_b out_b scratch_b plain_quads key_words round_keys keys_b
hkeys_b ctr_BE_orig ctr_BE in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 3 va_sM
(va_update_mem_heaplet 2 va_sM (va_update_mem_heaplet 6 va_sM (va_update_xmm 15 va_sM
(va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM
(va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM
(va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM
(va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR14
va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRsi va_sM
(va_update_reg64 rRdi va_sM (va_update_ok va_sM (va_update_mem va_sM
va_s0)))))))))))))))))))))))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet
6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10;
va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm
3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_reg64
rRdi; va_Mod_mem]) va_sM va_s0;
let va_g = (y_new) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Loop6x_decrypt (alg:algorithm) (h_LE:quad32) (y_orig:quad32) (y_prev:quad32)
(count:nat) (iv_b:buffer128) (in0_b:buffer128) (in_b:buffer128) (out_b:buffer128)
(scratch_b:buffer128) (plain_quads:(seq quad32)) (key_words:(seq nat32)) (round_keys:(seq
quad32)) (keys_b:buffer128) (hkeys_b:buffer128) (ctr_BE_orig:quad32) (ctr_BE:quad32) :
(va_quickCode quad32 (va_code_Loop6x_decrypt alg)) =
(va_QProc (va_code_Loop6x_decrypt alg) ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet
2; va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm
11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14;
va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_mem]) (va_wp_Loop6x_decrypt alg h_LE y_orig y_prev
count iv_b in0_b in_b out_b scratch_b plain_quads key_words round_keys keys_b hkeys_b
ctr_BE_orig ctr_BE) (va_wpProof_Loop6x_decrypt alg h_LE y_orig y_prev count iv_b in0_b in_b
out_b scratch_b plain_quads key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE))
#pop-options
//--
//-- Loop6x_loop_decrypt_body0
#push-options "--z3rlimit 700"
val va_code_Loop6x_loop_decrypt_body0 : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Loop6x_loop_decrypt_body0 alg =
(va_Block (va_CCons (va_code_Loop6x_decrypt alg) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))
val va_codegen_success_Loop6x_loop_decrypt_body0 : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Loop6x_loop_decrypt_body0 alg =
(va_pbool_and (va_codegen_success_Loop6x_decrypt alg) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Loop6x_loop_decrypt_body0 (va_mods:va_mods_t) (va_old:va_state) (alg:algorithm)
(va_in_ctr_BE_orig:quad32) (va_in_h_LE:quad32) (va_in_hkeys_b:buffer128) (va_in_in0_b:buffer128)
(va_in_in_b:buffer128) (va_in_iv_b:buffer128) (va_in_key_words:(seq nat32))
(va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32))
(va_in_round_keys:(seq quad32)) (va_in_scratch_b:buffer128) (va_in_y_orig:quad32)
(va_in_ctr:quad32) (va_in_iter:nat) (va_in_y_cur:quad32) : (va_quickCode (quad32 & nat & quad32)
(va_code_Loop6x_loop_decrypt_body0 alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(ctr_BE_orig:quad32) = va_in_ctr_BE_orig in let (h_LE:quad32) = va_in_h_LE in let
(hkeys_b:buffer128) = va_in_hkeys_b in let (in0_b:buffer128) = va_in_in0_b in let
(in_b:buffer128) = va_in_in_b in let (iv_b:buffer128) = va_in_iv_b in let (key_words:(seq
nat32)) = va_in_key_words in let (keys_b:buffer128) = va_in_keys_b in let (out_b:buffer128) =
va_in_out_b in let (plain_quads:(seq quad32)) = va_in_plain_quads in let (round_keys:(seq
quad32)) = va_in_round_keys in let (scratch_b:buffer128) = va_in_scratch_b in let
(y_orig:quad32) = va_in_y_orig in let (ctr:quad32) = va_in_ctr in let (iter:nat) = va_in_iter
in let (y_cur:quad32) = va_in_y_cur in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 733 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x_decrypt alg h_LE y_orig y_cur iter iv_b in0_b in_b out_b scratch_b plain_quads
key_words round_keys keys_b hkeys_b ctr_BE_orig ctr) (fun (va_s:va_state) (y_cur:quad32) ->
va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 735 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(iter + 1 >= 0) (fun _ -> let (iter:nat) = iter + 1 in let (ctr:quad32) = Vale.AES.GCTR_s.inc32
ctr 6 in va_QEmpty ((ctr, iter, y_cur))))))
val va_lemma_Loop6x_loop_decrypt_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
alg:algorithm -> va_in_ctr_BE_orig:quad32 -> va_in_h_LE:quad32 -> va_in_hkeys_b:buffer128 ->
va_in_in0_b:buffer128 -> va_in_in_b:buffer128 -> va_in_iv_b:buffer128 -> va_in_key_words:(seq
nat32) -> va_in_keys_b:buffer128 -> va_in_out_b:buffer128 -> va_in_plain_quads:(seq quad32) ->
va_in_round_keys:(seq quad32) -> va_in_scratch_b:buffer128 -> va_in_y_orig:quad32 ->
va_in_ctr:quad32 -> va_in_iter:nat -> va_in_y_cur:quad32
-> Ghost (va_state & va_fuel & quad32 & nat & quad32)
(requires (va_require_total va_b0 (va_code_Loop6x_loop_decrypt_body0 alg) va_s0 /\ va_get_ok
va_s0 /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_s0 == va_get_reg64 rRdx va_old
- 6 `op_Multiply` va_in_iter /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old + 96
`op_Multiply` va_in_iter /\ va_get_reg64 rRsi va_s0 == va_get_reg64 rRsi va_old + 96
`op_Multiply` va_in_iter /\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2
va_s0) (va_get_reg64 rR8 va_s0) va_in_iv_b 1 (va_get_mem_layout va_s0) Public /\ (va_get_reg64
rRdx va_s0 > 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b ((va_in_iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx
va_old - 6 `op_Multiply` (va_in_iter + 1)) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64
rRdx va_s0 == 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` va_in_iter) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0
==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi
va_s0) va_in_in_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply`
va_in_iter) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
va_in_out_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply`
va_in_iter) (va_get_mem_layout va_s0) Secret) /\ Vale.X64.Decls.validDstAddrs128
(va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0) va_in_scratch_b 9 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9
va_s0 - 32) va_in_hkeys_b 8 (va_get_mem_layout va_s0) Secret /\
(Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\
va_in_in0_b == va_in_in_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_s0) va_in_in_b) (6 `op_Multiply` va_in_iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_s0 >
0 ==> va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\
(va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rR14 va_s0 + 16 `op_Multiply` (va_get_reg64 rRdx
va_s0 - 6) < pow2_64) /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128
va_in_scratch_b (va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_s0) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) 0 (va_in_iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_s0 ==
0 ==> va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_s0) 0 (va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_s0) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0)
/\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_s0) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ (va_get_reg64 rRdx va_s0 > 0 ==> scratch_reqs va_in_scratch_b va_in_iter (va_get_mem_heaplet
3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in0_b) (va_get_xmm 7 va_s0))
/\ (va_in_iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==>
va_in_y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice
#quad32 va_in_plain_quads 0 (va_in_iter `op_Multiply` 6))) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
va_in_y_cur == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add
(add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s0))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
va_in_scratch_b 1 (va_get_mem_heaplet 3 va_s0)))))) /\ (va_get_reg64 rRdx va_s0 == 0 ==>
va_get_xmm 8 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 va_in_y_cur) /\ va_get_reg64 rRdx
va_s0 `op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ (6 <= va_get_reg64 rRdx
va_old /\ va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_iter `op_Multiply` 6 + 6 < pow2_32
/\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRdx va_s0 >= 6) /\ va_in_ctr ==
Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (va_in_iter `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 0) /\ va_get_reg64
rRbx va_s0 == va_in_ctr.lo0 `op_Modulus` 256 /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite va_in_ctr 0)) (va_get_xmm 15 va_s0)) /\ (va_get_reg64 rRdx va_s0 > 0
==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 10 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 1))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 2))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 3))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 4))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 5))) /\ (va_get_reg64
rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s0) (va_get_xmm 10 va_s0)
(va_get_xmm 11 va_s0) (va_get_xmm 12 va_s0) (va_get_xmm 13 va_s0) (va_get_xmm 14 va_s0)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_iter - 1)) /\ (va_get_reg64 rRdx
va_s0 > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_iter) va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_out_b) va_in_key_words
va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (va_in_iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_s0) va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ va_get_reg64 rRdx va_s0 > 0))
(ensures (fun (va_sM, va_fM, ctr, iter, y_cur) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_sM == va_get_reg64
rRdx va_old - 6 `op_Multiply` iter /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96
`op_Multiply` iter /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply`
iter /\ va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public /\ (va_get_reg64 rRdx va_sM > 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b ((iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` (iter +
1)) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM == 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRdi va_sM)
va_in_in_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRsi va_sM)
va_in_out_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3
va_sM) (va_get_reg64 rRbp va_sM) va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret /\
Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32)
va_in_hkeys_b 8 (va_get_mem_layout va_sM) Secret /\ (Vale.X64.Decls.buffers_disjoint128
va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ va_in_in0_b == va_in_in_b /\
FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old)
va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.partial_seq_agreement
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in_b) (6
`op_Multiply` iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64
rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64 rRdx va_sM >
0 ==> va_get_reg64 rR14 va_sM + 16 `op_Multiply` (va_get_reg64 rRdx va_sM - 6) < pow2_64) /\
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b
(va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_sM) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) 0 (iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_sM == 0 ==>
va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) 0 (va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)
/\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_sM) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ (va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b iter (va_get_mem_heaplet 3
va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\
(iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==> y_cur ==
Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice #quad32
va_in_plain_quads 0 (iter `op_Multiply` 6))) /\ (va_get_reg64 rRdx va_sM > 0 ==> y_cur ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_sM))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
va_in_scratch_b 1 (va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==>
va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ va_get_reg64 rRdx va_sM
`op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_sM < pow2_32 /\ (6 <= va_get_reg64 rRdx va_old /\
va_get_reg64 rRdx va_old + 6 < pow2_32) /\ iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_reg64 rRdx va_sM >= 6) /\ ctr == Vale.AES.GCTR.inc32lite
va_in_ctr_BE_orig (iter `op_Multiply` 6) /\ va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\ va_get_reg64 rRbx
va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256 /\ (va_get_reg64 rRdx
va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ (va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM
== Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ (va_get_reg64
rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ (va_get_reg64 rRdx
va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm 10 va_sM)
(va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14 va_sM)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (iter - 1)) /\ (va_get_reg64 rRdx va_sM
> 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` iter) va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b) va_in_key_words
va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ precedes_wrap (va_get_reg64 rRdx va_sM)
(va_get_reg64 rRdx va_s0) /\ va_state_eq va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM
(va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM
(va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM
(va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM
(va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx
va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM
(va_update_ok va_sM (va_update_mem va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet
3 va_sM (va_update_mem_heaplet 2 va_sM (va_update_flags va_sM
va_s0))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Loop6x_loop_decrypt_body0 va_b0 va_s0 va_old alg va_in_ctr_BE_orig va_in_h_LE
va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b
va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags] in
let va_qc = va_qcode_Loop6x_loop_decrypt_body0 va_mods va_old alg va_in_ctr_BE_orig va_in_h_LE
va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b
va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter
va_in_y_cur in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Loop6x_loop_decrypt_body0 alg) va_qc
va_s0 (fun va_s0 va_sM va_g -> let (ctr, iter, y_cur) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 521 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 653 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(sse_enabled /\ movbe_enabled) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 655 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_old - 6 `op_Multiply` iter) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 658 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96 `op_Multiply` iter) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 659 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 661 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 664 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 666 column 121 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rR14 va_sM) va_in_in0_b ((iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx
va_old - 6 `op_Multiply` (iter + 1)) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 669 column 114 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rR14 va_sM) va_in_in0_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` iter) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 671 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rRdi va_sM) va_in_in_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` iter) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 672 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rRsi va_sM) va_in_out_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` iter) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 674 column 74 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_sM) (va_get_reg64 rRbp va_sM)
va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 675 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32)
va_in_hkeys_b 8 (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 676 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 677 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_in0_b == va_in_in_b) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 679 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) va_in_in_b) >= 6) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 680 column 118 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in_b) (6 `op_Multiply` iter)
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) va_in_in_b))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 681 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 682 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rR14 va_sM + 16 `op_Multiply` (va_get_reg64 rRdx
va_sM - 6) < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 683 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 685 column 76 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b (va_get_mem_heaplet 3 va_old)
(va_get_mem_heaplet 3 va_sM) 1 8) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 686 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) 0 (iter `op_Multiply` 6 + 5)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 687 column 117 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_reg64 rRdx va_old >= 6 /\
Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) 0 (va_get_reg64 rRdx va_old - 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 688 column 74 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 691 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(aes_reqs_offset alg va_in_key_words va_in_round_keys va_in_keys_b (va_get_reg64 rRcx va_sM)
(va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 692 column 43 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 695 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
pclmulqdq_enabled /\ label va_range1
"***** POSTCONDITION NOT MET AT line 696 column 71 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 697 column 78 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_sM)
va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 698 column 85 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b iter (va_get_mem_heaplet 3 va_sM)
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 699 column 123 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==> y_cur ==
Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice #quad32
va_in_plain_quads 0 (iter `op_Multiply` 6))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 701 column 107 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_sM)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_sM)))))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 702 column 59 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
y_cur) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 705 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM `op_Modulus` 6 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 706 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 707 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(6 <= va_get_reg64 rRdx va_old /\ va_get_reg64 rRdx va_old + 6 < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 708 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(iter `op_Multiply` 6 + 6 < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 709 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdx va_sM >= 6) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 710 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (iter `op_Multiply` 6)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 711 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 712 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 713 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 715 column 94 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 717 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 718 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 719 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 720 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 721 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 724 column 90 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm
10 va_sM) (va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14
va_sM) va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (iter - 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 727 column 107 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` iter)
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 728 column 118 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` (iter - 1))
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 729 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(precedes_wrap (va_get_reg64 rRdx va_sM) (va_get_reg64 rRdx va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags]) va_sM va_s0;
let (ctr, iter, y_cur) = va_g in
(va_sM, va_fM, ctr, iter, y_cur)
[@ va_qattr]
let va_wp_Loop6x_loop_decrypt_body0 (va_old:va_state) (alg:algorithm) (va_in_ctr_BE_orig:quad32)
(va_in_h_LE:quad32) (va_in_hkeys_b:buffer128) (va_in_in0_b:buffer128) (va_in_in_b:buffer128)
(va_in_iv_b:buffer128) (va_in_key_words:(seq nat32)) (va_in_keys_b:buffer128)
(va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32)) (va_in_round_keys:(seq quad32))
(va_in_scratch_b:buffer128) (va_in_y_orig:quad32) (va_in_ctr:quad32) (va_in_iter:nat)
(va_in_y_cur:quad32) (va_s0:va_state) (va_k:(va_state -> (quad32 & nat & quad32) -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_s0 == va_get_reg64
rRdx va_old - 6 `op_Multiply` va_in_iter /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old
+ 96 `op_Multiply` va_in_iter /\ va_get_reg64 rRsi va_s0 == va_get_reg64 rRsi va_old + 96
`op_Multiply` va_in_iter /\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2
va_s0) (va_get_reg64 rR8 va_s0) va_in_iv_b 1 (va_get_mem_layout va_s0) Public /\ (va_get_reg64
rRdx va_s0 > 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b ((va_in_iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx
va_old - 6 `op_Multiply` (va_in_iter + 1)) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64
rRdx va_s0 == 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` va_in_iter) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0
==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi
va_s0) va_in_in_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply`
va_in_iter) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
va_in_out_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply`
va_in_iter) (va_get_mem_layout va_s0) Secret) /\ Vale.X64.Decls.validDstAddrs128
(va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0) va_in_scratch_b 9 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9
va_s0 - 32) va_in_hkeys_b 8 (va_get_mem_layout va_s0) Secret /\
(Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\
va_in_in0_b == va_in_in_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_s0) va_in_in_b) (6 `op_Multiply` va_in_iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_s0 >
0 ==> va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\
(va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rR14 va_s0 + 16 `op_Multiply` (va_get_reg64 rRdx
va_s0 - 6) < pow2_64) /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128
va_in_scratch_b (va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_s0) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) 0 (va_in_iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_s0 ==
0 ==> va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_s0) 0 (va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_s0) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0)
/\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_s0) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ (va_get_reg64 rRdx va_s0 > 0 ==> scratch_reqs va_in_scratch_b va_in_iter (va_get_mem_heaplet
3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in0_b) (va_get_xmm 7 va_s0))
/\ (va_in_iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==>
va_in_y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice
#quad32 va_in_plain_quads 0 (va_in_iter `op_Multiply` 6))) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
va_in_y_cur == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add
(add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s0))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
va_in_scratch_b 1 (va_get_mem_heaplet 3 va_s0)))))) /\ (va_get_reg64 rRdx va_s0 == 0 ==>
va_get_xmm 8 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 va_in_y_cur) /\ va_get_reg64 rRdx
va_s0 `op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ (6 <= va_get_reg64 rRdx
va_old /\ va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_iter `op_Multiply` 6 + 6 < pow2_32
/\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRdx va_s0 >= 6) /\ va_in_ctr ==
Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (va_in_iter `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 0) /\ va_get_reg64
rRbx va_s0 == va_in_ctr.lo0 `op_Modulus` 256 /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite va_in_ctr 0)) (va_get_xmm 15 va_s0)) /\ (va_get_reg64 rRdx va_s0 > 0
==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 10 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 1))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 2))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 3))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 4))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 5))) /\ (va_get_reg64
rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s0) (va_get_xmm 10 va_s0)
(va_get_xmm 11 va_s0) (va_get_xmm 12 va_s0) (va_get_xmm 13 va_s0) (va_get_xmm 14 va_s0)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_iter - 1)) /\ (va_get_reg64 rRdx
va_s0 > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_iter) va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_out_b) va_in_key_words
va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (va_in_iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_s0) va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ va_get_reg64 rRdx va_s0 > 0 /\
(forall (va_x_efl:Vale.X64.Flags.t) (va_x_heap2:vale_heap) (va_x_heap3:vale_heap)
(va_x_heap6:vale_heap) (va_x_mem:vale_heap) (va_x_ok:bool) (va_x_r11:nat64) (va_x_r12:nat64)
(va_x_r13:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rdi:nat64) (va_x_rdx:nat64)
(va_x_rsi:nat64) (va_x_xmm0:quad32) (va_x_xmm1:quad32) (va_x_xmm10:quad32) (va_x_xmm11:quad32)
(va_x_xmm12:quad32) (va_x_xmm13:quad32) (va_x_xmm14:quad32) (va_x_xmm15:quad32)
(va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32)
(va_x_xmm7:quad32) (va_x_xmm8:quad32) (va_x_xmm9:quad32) (ctr:quad32) (iter:nat) (y_cur:quad32)
. let va_sM = va_upd_xmm 9 va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7
(va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3
(va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13
va_x_xmm13 (va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10 va_x_xmm10
(va_upd_xmm 1 va_x_xmm1 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx
va_x_rdx (va_upd_reg64 rRdi va_x_rdi (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR12 va_x_r12 (va_upd_reg64 rR11 va_x_r11 (va_upd_ok
va_x_ok (va_upd_mem va_x_mem (va_upd_mem_heaplet 6 va_x_heap6 (va_upd_mem_heaplet 3 va_x_heap3
(va_upd_mem_heaplet 2 va_x_heap2 (va_upd_flags va_x_efl va_s0))))))))))))))))))))))))))))) in
va_get_ok va_sM /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_sM == va_get_reg64
rRdx va_old - 6 `op_Multiply` iter /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96
`op_Multiply` iter /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply`
iter /\ va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public /\ (va_get_reg64 rRdx va_sM > 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b ((iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` (iter +
1)) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM == 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRdi va_sM)
va_in_in_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRsi va_sM)
va_in_out_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3
va_sM) (va_get_reg64 rRbp va_sM) va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret /\
Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32)
va_in_hkeys_b 8 (va_get_mem_layout va_sM) Secret /\ (Vale.X64.Decls.buffers_disjoint128
va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ va_in_in0_b == va_in_in_b /\
FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old)
va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.partial_seq_agreement
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in_b) (6
`op_Multiply` iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64
rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64 rRdx va_sM >
0 ==> va_get_reg64 rR14 va_sM + 16 `op_Multiply` (va_get_reg64 rRdx va_sM - 6) < pow2_64) /\
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b
(va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_sM) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) 0 (iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_sM == 0 ==>
va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) 0 (va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)
/\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_sM) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ (va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b iter (va_get_mem_heaplet 3
va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\
(iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==> y_cur ==
Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice #quad32
va_in_plain_quads 0 (iter `op_Multiply` 6))) /\ (va_get_reg64 rRdx va_sM > 0 ==> y_cur ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_sM))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
va_in_scratch_b 1 (va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==>
va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ va_get_reg64 rRdx va_sM
`op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_sM < pow2_32 /\ (6 <= va_get_reg64 rRdx va_old /\
va_get_reg64 rRdx va_old + 6 < pow2_32) /\ iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_reg64 rRdx va_sM >= 6) /\ ctr == Vale.AES.GCTR.inc32lite
va_in_ctr_BE_orig (iter `op_Multiply` 6) /\ va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\ va_get_reg64 rRbx
va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256 /\ (va_get_reg64 rRdx
va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ (va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM
== Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ (va_get_reg64
rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ (va_get_reg64 rRdx
va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm 10 va_sM)
(va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14 va_sM)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (iter - 1)) /\ (va_get_reg64 rRdx va_sM
> 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` iter) va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b) va_in_key_words
va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ precedes_wrap (va_get_reg64 rRdx va_sM)
(va_get_reg64 rRdx va_s0) ==> va_k va_sM ((ctr, iter, y_cur))))
val va_wpProof_Loop6x_loop_decrypt_body0 : va_old:va_state -> alg:algorithm ->
va_in_ctr_BE_orig:quad32 -> va_in_h_LE:quad32 -> va_in_hkeys_b:buffer128 -> va_in_in0_b:buffer128
-> va_in_in_b:buffer128 -> va_in_iv_b:buffer128 -> va_in_key_words:(seq nat32) ->
va_in_keys_b:buffer128 -> va_in_out_b:buffer128 -> va_in_plain_quads:(seq quad32) ->
va_in_round_keys:(seq quad32) -> va_in_scratch_b:buffer128 -> va_in_y_orig:quad32 ->
va_in_ctr:quad32 -> va_in_iter:nat -> va_in_y_cur:quad32 -> va_s0:va_state -> va_k:(va_state ->
(quad32 & nat & quad32) -> Type0)
-> Ghost (va_state & va_fuel & (quad32 & nat & quad32))
(requires (va_t_require va_s0 /\ va_wp_Loop6x_loop_decrypt_body0 va_old alg va_in_ctr_BE_orig
va_in_h_LE va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b
va_in_out_b va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr
va_in_iter va_in_y_cur va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Loop6x_loop_decrypt_body0 alg)
([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4;
va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12;
va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx;
va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 3;
va_Mod_mem_heaplet 2; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Loop6x_loop_decrypt_body0 va_old alg va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b
va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur va_s0 va_k =
let (va_sM, va_f0, ctr, iter, y_cur) = va_lemma_Loop6x_loop_decrypt_body0
(va_code_Loop6x_loop_decrypt_body0 alg) va_s0 va_old alg va_in_ctr_BE_orig va_in_h_LE
va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b
va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter
va_in_y_cur in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM
(va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM
(va_update_xmm 2 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM
(va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 1 va_sM
(va_update_xmm 0 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRdi va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM
(va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_ok va_sM (va_update_mem
va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2
va_sM (va_update_flags va_sM va_s0)))))))))))))))))))))))))))))));
va_lemma_norm_mods ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags]) va_sM va_s0;
let va_g = (ctr, iter, y_cur) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Loop6x_loop_decrypt_body0 (va_old:va_state) (alg:algorithm) (va_in_ctr_BE_orig:quad32)
(va_in_h_LE:quad32) (va_in_hkeys_b:buffer128) (va_in_in0_b:buffer128) (va_in_in_b:buffer128)
(va_in_iv_b:buffer128) (va_in_key_words:(seq nat32)) (va_in_keys_b:buffer128)
(va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32)) (va_in_round_keys:(seq quad32))
(va_in_scratch_b:buffer128) (va_in_y_orig:quad32) (va_in_ctr:quad32) (va_in_iter:nat)
(va_in_y_cur:quad32) : (va_quickCode (quad32 & nat & quad32) (va_code_Loop6x_loop_decrypt_body0
alg)) =
(va_QProc (va_code_Loop6x_loop_decrypt_body0 alg) ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7;
va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm
14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0;
va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem;
va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags])
(va_wp_Loop6x_loop_decrypt_body0 va_old alg va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b
va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur)
(va_wpProof_Loop6x_loop_decrypt_body0 va_old alg va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b
va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur))
#pop-options
//--
//-- Loop6x_loop_decrypt_while0
#push-options "--z3rlimit 700"
val va_code_Loop6x_loop_decrypt_while0 : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Loop6x_loop_decrypt_while0 alg =
(va_Block (va_CCons (va_While (va_cmp_gt (va_op_cmp_reg64 rRdx) (va_const_cmp 0)) (va_Block
(va_CCons (va_code_Loop6x_loop_decrypt_body0 alg) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Loop6x_loop_decrypt_while0 : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Loop6x_loop_decrypt_while0 alg =
(va_pbool_and (va_codegen_success_Loop6x_loop_decrypt_body0 alg) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Loop6x_loop_decrypt_while0 (va_mods:va_mods_t) (va_old:va_state) (alg:algorithm)
(va_in_ctr_BE_orig:quad32) (va_in_h_LE:quad32) (va_in_hkeys_b:buffer128) (va_in_in0_b:buffer128)
(va_in_in_b:buffer128) (va_in_iv_b:buffer128) (va_in_key_words:(seq nat32))
(va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32))
(va_in_round_keys:(seq quad32)) (va_in_scratch_b:buffer128) (va_in_y_orig:quad32)
(va_in_ctr:quad32) (va_in_iter:nat) (va_in_y_cur:quad32) : (va_quickCode (quad32 & nat & quad32)
(va_code_Loop6x_loop_decrypt_while0 alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(ctr_BE_orig:quad32) = va_in_ctr_BE_orig in let (h_LE:quad32) = va_in_h_LE in let
(hkeys_b:buffer128) = va_in_hkeys_b in let (in0_b:buffer128) = va_in_in0_b in let
(in_b:buffer128) = va_in_in_b in let (iv_b:buffer128) = va_in_iv_b in let (key_words:(seq
nat32)) = va_in_key_words in let (keys_b:buffer128) = va_in_keys_b in let (out_b:buffer128) =
va_in_out_b in let (plain_quads:(seq quad32)) = va_in_plain_quads in let (round_keys:(seq
quad32)) = va_in_round_keys in let (scratch_b:buffer128) = va_in_scratch_b in let
(y_orig:quad32) = va_in_y_orig in let (ctr:quad32) = va_in_ctr in let (iter:nat) = va_in_iter
in let (y_cur:quad32) = va_in_y_cur in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 521 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_qWhile va_mods (Cmp_gt (va_op_cmp_reg64 rRdx) (va_const_cmp 0)) (fun va_g -> let
(ctr:quad32) = let (ctr, iter, y_cur) = va_g in ctr in let (iter:nat) = let (ctr, iter, y_cur)
= va_g in iter in let (y_cur:quad32) = let (ctr, iter, y_cur) = va_g in y_cur in qblock va_mods
(fun (va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 521 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x_loop_decrypt_body0 va_old alg ctr_BE_orig h_LE hkeys_b in0_b in_b iv_b
key_words keys_b out_b plain_quads round_keys scratch_b y_orig ctr iter y_cur) (fun
(va_s:va_state) va_g -> let (ctr, iter, y_cur) = va_g in va_QEmpty ((ctr, iter, y_cur))))) (fun
(va_s:va_state) va_g -> let (ctr:quad32) = let (ctr, iter, y_cur) = va_g in ctr in let
(iter:nat) = let (ctr, iter, y_cur) = va_g in iter in let (y_cur:quad32) = let (ctr, iter,
y_cur) = va_g in y_cur in va_get_ok va_s /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx
va_s == va_get_reg64 rRdx va_old - 6 `op_Multiply` iter /\ va_get_reg64 rRdi va_s ==
va_get_reg64 rRdi va_old + 96 `op_Multiply` iter /\ va_get_reg64 rRsi va_s == va_get_reg64 rRsi
va_old + 96 `op_Multiply` iter /\ va_get_xmm 2 va_s == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2
va_s) (va_get_reg64 rR8 va_s) iv_b 1 (va_get_mem_layout va_s) Public /\ (va_get_reg64 rRdx va_s
> 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s) (va_get_reg64 rR14
va_s) in0_b ((iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` (iter +
1)) (va_get_mem_layout va_s) Secret) /\ (va_get_reg64 rRdx va_s == 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s) (va_get_reg64 rR14 va_s)
in0_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_s) Secret) /\ (va_get_reg64 rRdx va_s > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s) (va_get_reg64 rRdi va_s) in_b
(iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter) (va_get_mem_layout
va_s) Secret) /\ (va_get_reg64 rRdx va_s > 0 ==> Vale.X64.Decls.validDstAddrsOffset128
(va_get_mem_heaplet 6 va_s) (va_get_reg64 rRsi va_s) out_b (iter `op_Multiply` 6) (va_get_reg64
rRdx va_old - 6 `op_Multiply` iter) (va_get_mem_layout va_s) Secret) /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s) (va_get_reg64 rRbp va_s) scratch_b
9 (va_get_mem_layout va_s) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0
va_s) (va_get_reg64 rR9 va_s - 32) hkeys_b 8 (va_get_mem_layout va_s) Secret /\
(Vale.X64.Decls.buffers_disjoint128 in_b out_b \/ in_b == out_b) /\ in0_b == in_b /\
FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old)
in_b) >= 6 /\ (va_get_reg64 rRdx va_s > 0 ==> Vale.AES.GCTR.partial_seq_agreement plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in_b) (6 `op_Multiply` iter)
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) in_b))) /\ (va_get_reg64 rRdx va_s > 0 ==> va_get_reg64 rRdi va_s + 16 `op_Multiply`
va_get_reg64 rRdx va_s < pow2_64) /\ (va_get_reg64 rRdx va_s > 0 ==> va_get_reg64 rR14 va_s +
16 `op_Multiply` (va_get_reg64 rRdx va_s - 6) < pow2_64) /\ (va_get_reg64 rRdx va_s > 0 ==>
va_get_reg64 rRsi va_s + 16 `op_Multiply` va_get_reg64 rRdx va_s < pow2_64) /\
Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_old)
(va_get_mem_heaplet 3 va_s) 1 8 /\ Vale.X64.Decls.modifies_buffer_specific128 out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_s) 0 (iter `op_Multiply` 6 + 5) /\
(va_get_reg64 rRdx va_s == 0 ==> va_get_reg64 rRdx va_old >= 6 /\
Vale.X64.Decls.buffer_modifies_specific128 out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s) 0 (va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_s) 0 0 /\ aes_reqs_offset alg key_words round_keys keys_b
(va_get_reg64 rRcx va_s) (va_get_mem_heaplet 0 va_s) (va_get_mem_layout va_s) /\ va_get_xmm 15
va_s == FStar.Seq.Base.index #quad32 round_keys 0 /\ pclmulqdq_enabled /\ h_LE ==
Vale.AES.AES_s.aes_encrypt_LE alg key_words (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s)
hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ (va_get_reg64 rRdx va_s > 0 ==>
scratch_reqs scratch_b iter (va_get_mem_heaplet 3 va_s) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) in0_b) (va_get_xmm 7 va_s)) /\ (iter `op_Multiply` 6 <=
FStar.Seq.Base.length #quad32 plain_quads ==> y_cur == Vale.AES.GHash.ghash_incremental0 h_LE
y_orig (FStar.Seq.Base.slice #quad32 plain_quads 0 (iter `op_Multiply` 6))) /\ (va_get_reg64
rRdx va_s > 0 ==> y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_s)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_s)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read scratch_b 1
(va_get_mem_heaplet 3 va_s)))))) /\ (va_get_reg64 rRdx va_s == 0 ==> va_get_xmm 8 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ va_get_reg64 rRdx va_s `op_Modulus` 6 == 0 /\
va_get_reg64 rRdx va_s < pow2_32 /\ (6 <= va_get_reg64 rRdx va_old /\ va_get_reg64 rRdx va_old
+ 6 < pow2_32) /\ iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64 rRdx va_s > 0 ==>
va_get_reg64 rRdx va_s >= 6) /\ ctr == Vale.AES.GCTR.inc32lite ctr_BE_orig (iter `op_Multiply`
6) /\ va_get_xmm 2 va_s == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
va_get_xmm 1 va_s == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\
va_get_reg64 rRbx va_s == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256 /\
(va_get_reg64 rRdx va_s > 0 ==> va_get_xmm 9 va_s == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_s))
/\ (va_get_reg64 rRdx va_s > 0 ==> (va_get_reg64 rRbx va_s + 6 < 256 ==> va_get_xmm 10 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ (va_get_reg64 rRdx
va_s > 0 ==> (va_get_reg64 rRbx va_s + 6 < 256 ==> va_get_xmm 11 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ (va_get_reg64 rRdx
va_s > 0 ==> (va_get_reg64 rRbx va_s + 6 < 256 ==> va_get_xmm 12 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ (va_get_reg64 rRdx
va_s > 0 ==> (va_get_reg64 rRbx va_s + 6 < 256 ==> va_get_xmm 13 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ (va_get_reg64 rRdx
va_s > 0 ==> (va_get_reg64 rRbx va_s + 6 < 256 ==> va_get_xmm 14 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ (va_get_reg64 rRdx
va_s == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s) (va_get_xmm 10 va_s) (va_get_xmm
11 va_s) (va_get_xmm 12 va_s) (va_get_xmm 13 va_s) (va_get_xmm 14 va_s) plain_quads alg
key_words ctr_BE_orig (iter - 1)) /\ (va_get_reg64 rRdx va_s > 0 ==> Vale.AES.GCTR.gctr_partial
alg (6 `op_Multiply` iter) plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b)
key_words ctr_BE_orig) /\ (va_get_reg64 rRdx va_s == 0 ==> Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (iter - 1)) plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b)
key_words ctr_BE_orig)) (fun (va_s:va_state) va_g -> let (ctr:quad32) = let (ctr, iter, y_cur)
= va_g in ctr in let (iter:nat) = let (ctr, iter, y_cur) = va_g in iter in let (y_cur:quad32) =
let (ctr, iter, y_cur) = va_g in y_cur in va_get_reg64 rRdx va_s) ((ctr, iter, y_cur))) (fun
(va_s:va_state) va_g -> let (ctr:quad32) = let (ctr, iter, y_cur) = va_g in ctr in let
(iter:nat) = let (ctr, iter, y_cur) = va_g in iter in let (y_cur:quad32) = let (ctr, iter,
y_cur) = va_g in y_cur in let va_g = (ctr, iter, y_cur) in let ((ctr:quad32), (iter:nat),
(y_cur:quad32)) = va_g in va_QEmpty ((ctr, iter, y_cur)))))
val va_lemma_Loop6x_loop_decrypt_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
alg:algorithm -> va_in_ctr_BE_orig:quad32 -> va_in_h_LE:quad32 -> va_in_hkeys_b:buffer128 ->
va_in_in0_b:buffer128 -> va_in_in_b:buffer128 -> va_in_iv_b:buffer128 -> va_in_key_words:(seq
nat32) -> va_in_keys_b:buffer128 -> va_in_out_b:buffer128 -> va_in_plain_quads:(seq quad32) ->
va_in_round_keys:(seq quad32) -> va_in_scratch_b:buffer128 -> va_in_y_orig:quad32 ->
va_in_ctr:quad32 -> va_in_iter:nat -> va_in_y_cur:quad32
-> Ghost (va_state & va_fuel & quad32 & nat & quad32)
(requires (va_require_total va_b0 (va_code_Loop6x_loop_decrypt_while0 alg) va_s0 /\ va_get_ok
va_s0 /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_s0 == va_get_reg64 rRdx va_old
- 6 `op_Multiply` va_in_iter /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old + 96
`op_Multiply` va_in_iter /\ va_get_reg64 rRsi va_s0 == va_get_reg64 rRsi va_old + 96
`op_Multiply` va_in_iter /\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2
va_s0) (va_get_reg64 rR8 va_s0) va_in_iv_b 1 (va_get_mem_layout va_s0) Public /\ (va_get_reg64
rRdx va_s0 > 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b ((va_in_iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx
va_old - 6 `op_Multiply` (va_in_iter + 1)) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64
rRdx va_s0 == 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` va_in_iter) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0
==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi
va_s0) va_in_in_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply`
va_in_iter) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
va_in_out_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply`
va_in_iter) (va_get_mem_layout va_s0) Secret) /\ Vale.X64.Decls.validDstAddrs128
(va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0) va_in_scratch_b 9 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9
va_s0 - 32) va_in_hkeys_b 8 (va_get_mem_layout va_s0) Secret /\
(Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\
va_in_in0_b == va_in_in_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_s0) va_in_in_b) (6 `op_Multiply` va_in_iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_s0 >
0 ==> va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\
(va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rR14 va_s0 + 16 `op_Multiply` (va_get_reg64 rRdx
va_s0 - 6) < pow2_64) /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128
va_in_scratch_b (va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_s0) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) 0 (va_in_iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_s0 ==
0 ==> va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_s0) 0 (va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_s0) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0)
/\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_s0) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ (va_get_reg64 rRdx va_s0 > 0 ==> scratch_reqs va_in_scratch_b va_in_iter (va_get_mem_heaplet
3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in0_b) (va_get_xmm 7 va_s0))
/\ (va_in_iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==>
va_in_y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice
#quad32 va_in_plain_quads 0 (va_in_iter `op_Multiply` 6))) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
va_in_y_cur == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add
(add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s0))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
va_in_scratch_b 1 (va_get_mem_heaplet 3 va_s0)))))) /\ (va_get_reg64 rRdx va_s0 == 0 ==>
va_get_xmm 8 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 va_in_y_cur) /\ va_get_reg64 rRdx
va_s0 `op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ (6 <= va_get_reg64 rRdx
va_old /\ va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_iter `op_Multiply` 6 + 6 < pow2_32
/\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRdx va_s0 >= 6) /\ va_in_ctr ==
Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (va_in_iter `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 0) /\ va_get_reg64
rRbx va_s0 == va_in_ctr.lo0 `op_Modulus` 256 /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite va_in_ctr 0)) (va_get_xmm 15 va_s0)) /\ (va_get_reg64 rRdx va_s0 > 0
==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 10 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 1))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 2))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 3))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 4))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 5))) /\ (va_get_reg64
rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s0) (va_get_xmm 10 va_s0)
(va_get_xmm 11 va_s0) (va_get_xmm 12 va_s0) (va_get_xmm 13 va_s0) (va_get_xmm 14 va_s0)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_iter - 1)) /\ (va_get_reg64 rRdx
va_s0 > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_iter) va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_out_b) va_in_key_words
va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (va_in_iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_s0) va_in_out_b) va_in_key_words va_in_ctr_BE_orig)))
(ensures (fun (va_sM, va_fM, ctr, iter, y_cur) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_sM == va_get_reg64
rRdx va_old - 6 `op_Multiply` iter /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96
`op_Multiply` iter /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply`
iter /\ va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public /\ (va_get_reg64 rRdx va_sM > 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b ((iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` (iter +
1)) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM == 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRdi va_sM)
va_in_in_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRsi va_sM)
va_in_out_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3
va_sM) (va_get_reg64 rRbp va_sM) va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret /\
Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32)
va_in_hkeys_b 8 (va_get_mem_layout va_sM) Secret /\ (Vale.X64.Decls.buffers_disjoint128
va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ va_in_in0_b == va_in_in_b /\
FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old)
va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.partial_seq_agreement
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in_b) (6
`op_Multiply` iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64
rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64 rRdx va_sM >
0 ==> va_get_reg64 rR14 va_sM + 16 `op_Multiply` (va_get_reg64 rRdx va_sM - 6) < pow2_64) /\
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b
(va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_sM) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) 0 (iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_sM == 0 ==>
va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) 0 (va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)
/\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_sM) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ (va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b iter (va_get_mem_heaplet 3
va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\
(iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==> y_cur ==
Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice #quad32
va_in_plain_quads 0 (iter `op_Multiply` 6))) /\ (va_get_reg64 rRdx va_sM > 0 ==> y_cur ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_sM))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
va_in_scratch_b 1 (va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==>
va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ va_get_reg64 rRdx va_sM
`op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_sM < pow2_32 /\ (6 <= va_get_reg64 rRdx va_old /\
va_get_reg64 rRdx va_old + 6 < pow2_32) /\ iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_reg64 rRdx va_sM >= 6) /\ ctr == Vale.AES.GCTR.inc32lite
va_in_ctr_BE_orig (iter `op_Multiply` 6) /\ va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\ va_get_reg64 rRbx
va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256 /\ (va_get_reg64 rRdx
va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ (va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM
== Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ (va_get_reg64
rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ (va_get_reg64 rRdx
va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm 10 va_sM)
(va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14 va_sM)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (iter - 1)) /\ (va_get_reg64 rRdx va_sM
> 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` iter) va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b) va_in_key_words
va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ ~(va_get_reg64 rRdx va_sM > 0) /\
va_state_eq va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM
(va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM
(va_update_xmm 2 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM
(va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 1 va_sM
(va_update_xmm 0 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRdi va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM
(va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_ok va_sM (va_update_mem
va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2
va_sM (va_update_flags va_sM va_s0))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Loop6x_loop_decrypt_while0 va_b0 va_s0 va_old alg va_in_ctr_BE_orig va_in_h_LE
va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b
va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags] in
let va_qc = va_qcode_Loop6x_loop_decrypt_while0 va_mods va_old alg va_in_ctr_BE_orig va_in_h_LE
va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b
va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter
va_in_y_cur in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Loop6x_loop_decrypt_while0 alg) va_qc
va_s0 (fun va_s0 va_sM va_g -> let (ctr, iter, y_cur) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 521 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 653 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(sse_enabled /\ movbe_enabled) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 655 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_old - 6 `op_Multiply` iter) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 658 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96 `op_Multiply` iter) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 659 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 661 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 664 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 666 column 121 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rR14 va_sM) va_in_in0_b ((iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx
va_old - 6 `op_Multiply` (iter + 1)) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 669 column 114 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rR14 va_sM) va_in_in0_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` iter) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 671 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rRdi va_sM) va_in_in_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` iter) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 672 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rRsi va_sM) va_in_out_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` iter) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 674 column 74 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_sM) (va_get_reg64 rRbp va_sM)
va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 675 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32)
va_in_hkeys_b 8 (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 676 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 677 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_in0_b == va_in_in_b) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 679 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) va_in_in_b) >= 6) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 680 column 118 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in_b) (6 `op_Multiply` iter)
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) va_in_in_b))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 681 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 682 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rR14 va_sM + 16 `op_Multiply` (va_get_reg64 rRdx
va_sM - 6) < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 683 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 685 column 76 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b (va_get_mem_heaplet 3 va_old)
(va_get_mem_heaplet 3 va_sM) 1 8) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 686 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) 0 (iter `op_Multiply` 6 + 5)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 687 column 117 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_reg64 rRdx va_old >= 6 /\
Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) 0 (va_get_reg64 rRdx va_old - 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 688 column 74 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 691 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(aes_reqs_offset alg va_in_key_words va_in_round_keys va_in_keys_b (va_get_reg64 rRcx va_sM)
(va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 692 column 43 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 695 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
pclmulqdq_enabled /\ label va_range1
"***** POSTCONDITION NOT MET AT line 696 column 71 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 697 column 78 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_sM)
va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 698 column 85 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b iter (va_get_mem_heaplet 3 va_sM)
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 699 column 123 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==> y_cur ==
Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice #quad32
va_in_plain_quads 0 (iter `op_Multiply` 6))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 701 column 107 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_sM)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_sM)))))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 702 column 59 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
y_cur) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 705 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM `op_Modulus` 6 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 706 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 707 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(6 <= va_get_reg64 rRdx va_old /\ va_get_reg64 rRdx va_old + 6 < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 708 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(iter `op_Multiply` 6 + 6 < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 709 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdx va_sM >= 6) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 710 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (iter `op_Multiply` 6)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 711 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 712 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 713 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 715 column 94 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 717 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 718 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 719 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 720 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 721 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 724 column 90 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm
10 va_sM) (va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14
va_sM) va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (iter - 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 727 column 107 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` iter)
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 728 column 118 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` (iter - 1))
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 521 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(~(va_get_reg64 rRdx va_sM > 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags]) va_sM va_s0;
let (ctr, iter, y_cur) = va_g in
(va_sM, va_fM, ctr, iter, y_cur)
[@ va_qattr]
let va_wp_Loop6x_loop_decrypt_while0 (va_old:va_state) (alg:algorithm) (va_in_ctr_BE_orig:quad32)
(va_in_h_LE:quad32) (va_in_hkeys_b:buffer128) (va_in_in0_b:buffer128) (va_in_in_b:buffer128)
(va_in_iv_b:buffer128) (va_in_key_words:(seq nat32)) (va_in_keys_b:buffer128)
(va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32)) (va_in_round_keys:(seq quad32))
(va_in_scratch_b:buffer128) (va_in_y_orig:quad32) (va_in_ctr:quad32) (va_in_iter:nat)
(va_in_y_cur:quad32) (va_s0:va_state) (va_k:(va_state -> (quad32 & nat & quad32) -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_s0 == va_get_reg64
rRdx va_old - 6 `op_Multiply` va_in_iter /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old
+ 96 `op_Multiply` va_in_iter /\ va_get_reg64 rRsi va_s0 == va_get_reg64 rRsi va_old + 96
`op_Multiply` va_in_iter /\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2
va_s0) (va_get_reg64 rR8 va_s0) va_in_iv_b 1 (va_get_mem_layout va_s0) Public /\ (va_get_reg64
rRdx va_s0 > 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b ((va_in_iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx
va_old - 6 `op_Multiply` (va_in_iter + 1)) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64
rRdx va_s0 == 6 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old -
6 `op_Multiply` va_in_iter) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0
==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi
va_s0) va_in_in_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply`
va_in_iter) (va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
va_in_out_b (va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply`
va_in_iter) (va_get_mem_layout va_s0) Secret) /\ Vale.X64.Decls.validDstAddrs128
(va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0) va_in_scratch_b 9 (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9
va_s0 - 32) va_in_hkeys_b 8 (va_get_mem_layout va_s0) Secret /\
(Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\
va_in_in0_b == va_in_in_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_s0) va_in_in_b) (6 `op_Multiply` va_in_iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_s0 >
0 ==> va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\
(va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rR14 va_s0 + 16 `op_Multiply` (va_get_reg64 rRdx
va_s0 - 6) < pow2_64) /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128
va_in_scratch_b (va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_s0) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) 0 (va_in_iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_s0 ==
0 ==> va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_s0) 0 (va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_s0) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0)
/\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_s0) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ (va_get_reg64 rRdx va_s0 > 0 ==> scratch_reqs va_in_scratch_b va_in_iter (va_get_mem_heaplet
3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in0_b) (va_get_xmm 7 va_s0))
/\ (va_in_iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==>
va_in_y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice
#quad32 va_in_plain_quads 0 (va_in_iter `op_Multiply` 6))) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
va_in_y_cur == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add
(add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s0))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
va_in_scratch_b 1 (va_get_mem_heaplet 3 va_s0)))))) /\ (va_get_reg64 rRdx va_s0 == 0 ==>
va_get_xmm 8 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 va_in_y_cur) /\ va_get_reg64 rRdx
va_s0 `op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ (6 <= va_get_reg64 rRdx
va_old /\ va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_iter `op_Multiply` 6 + 6 < pow2_32
/\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRdx va_s0 >= 6) /\ va_in_ctr ==
Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (va_in_iter `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 0) /\ va_get_reg64
rRbx va_s0 == va_in_ctr.lo0 `op_Modulus` 256 /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite va_in_ctr 0)) (va_get_xmm 15 va_s0)) /\ (va_get_reg64 rRdx va_s0 > 0
==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 10 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 1))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 2))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 3))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 4))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 5))) /\ (va_get_reg64
rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s0) (va_get_xmm 10 va_s0)
(va_get_xmm 11 va_s0) (va_get_xmm 12 va_s0) (va_get_xmm 13 va_s0) (va_get_xmm 14 va_s0)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_iter - 1)) /\ (va_get_reg64 rRdx
va_s0 > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_iter) va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_out_b) va_in_key_words
va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (va_in_iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_s0) va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ (forall (va_x_efl:Vale.X64.Flags.t)
(va_x_heap2:vale_heap) (va_x_heap3:vale_heap) (va_x_heap6:vale_heap) (va_x_mem:vale_heap)
(va_x_ok:bool) (va_x_r11:nat64) (va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64)
(va_x_rbx:nat64) (va_x_rdi:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (va_x_xmm0:quad32)
(va_x_xmm1:quad32) (va_x_xmm10:quad32) (va_x_xmm11:quad32) (va_x_xmm12:quad32)
(va_x_xmm13:quad32) (va_x_xmm14:quad32) (va_x_xmm15:quad32) (va_x_xmm2:quad32)
(va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32) (va_x_xmm7:quad32)
(va_x_xmm8:quad32) (va_x_xmm9:quad32) (ctr:quad32) (iter:nat) (y_cur:quad32) . let va_sM =
va_upd_xmm 9 va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6 va_x_xmm6
(va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2
(va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13 va_x_xmm13 (va_upd_xmm 12
va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 1 va_x_xmm1
(va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRdi va_x_rdi (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13
va_x_r13 (va_upd_reg64 rR12 va_x_r12 (va_upd_reg64 rR11 va_x_r11 (va_upd_ok va_x_ok (va_upd_mem
va_x_mem (va_upd_mem_heaplet 6 va_x_heap6 (va_upd_mem_heaplet 3 va_x_heap3 (va_upd_mem_heaplet
2 va_x_heap2 (va_upd_flags va_x_efl va_s0))))))))))))))))))))))))))))) in va_get_ok va_sM /\
(sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_old - 6
`op_Multiply` iter /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96 `op_Multiply`
iter /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter /\
va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public /\ (va_get_reg64 rRdx va_sM > 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b ((iter + 1) `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` (iter +
1)) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM == 6 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRdi va_sM)
va_in_in_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRsi va_sM)
va_in_out_b (iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - 6 `op_Multiply` iter)
(va_get_mem_layout va_sM) Secret) /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3
va_sM) (va_get_reg64 rRbp va_sM) va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret /\
Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32)
va_in_hkeys_b 8 (va_get_mem_layout va_sM) Secret /\ (Vale.X64.Decls.buffers_disjoint128
va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ va_in_in0_b == va_in_in_b /\
FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old)
va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.partial_seq_agreement
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in_b) (6
`op_Multiply` iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64
rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64 rRdx va_sM >
0 ==> va_get_reg64 rR14 va_sM + 16 `op_Multiply` (va_get_reg64 rRdx va_sM - 6) < pow2_64) /\
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b
(va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_sM) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) 0 (iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_sM == 0 ==>
va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) 0 (va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)
/\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_sM) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ (va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b iter (va_get_mem_heaplet 3
va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\
(iter `op_Multiply` 6 <= FStar.Seq.Base.length #quad32 va_in_plain_quads ==> y_cur ==
Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice #quad32
va_in_plain_quads 0 (iter `op_Multiply` 6))) /\ (va_get_reg64 rRdx va_sM > 0 ==> y_cur ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_sM))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
va_in_scratch_b 1 (va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==>
va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ va_get_reg64 rRdx va_sM
`op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_sM < pow2_32 /\ (6 <= va_get_reg64 rRdx va_old /\
va_get_reg64 rRdx va_old + 6 < pow2_32) /\ iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_reg64 rRdx va_sM >= 6) /\ ctr == Vale.AES.GCTR.inc32lite
va_in_ctr_BE_orig (iter `op_Multiply` 6) /\ va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\ va_get_reg64 rRbx
va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256 /\ (va_get_reg64 rRdx
va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ (va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM
== Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ (va_get_reg64
rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ (va_get_reg64 rRdx
va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm 10 va_sM)
(va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14 va_sM)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (iter - 1)) /\ (va_get_reg64 rRdx va_sM
> 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` iter) va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b) va_in_key_words
va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_partial alg (6
`op_Multiply` (iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ ~(va_get_reg64 rRdx va_sM > 0) ==> va_k
va_sM ((ctr, iter, y_cur))))
val va_wpProof_Loop6x_loop_decrypt_while0 : va_old:va_state -> alg:algorithm ->
va_in_ctr_BE_orig:quad32 -> va_in_h_LE:quad32 -> va_in_hkeys_b:buffer128 -> va_in_in0_b:buffer128
-> va_in_in_b:buffer128 -> va_in_iv_b:buffer128 -> va_in_key_words:(seq nat32) ->
va_in_keys_b:buffer128 -> va_in_out_b:buffer128 -> va_in_plain_quads:(seq quad32) ->
va_in_round_keys:(seq quad32) -> va_in_scratch_b:buffer128 -> va_in_y_orig:quad32 ->
va_in_ctr:quad32 -> va_in_iter:nat -> va_in_y_cur:quad32 -> va_s0:va_state -> va_k:(va_state ->
(quad32 & nat & quad32) -> Type0)
-> Ghost (va_state & va_fuel & (quad32 & nat & quad32))
(requires (va_t_require va_s0 /\ va_wp_Loop6x_loop_decrypt_while0 va_old alg va_in_ctr_BE_orig
va_in_h_LE va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b
va_in_out_b va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr
va_in_iter va_in_y_cur va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Loop6x_loop_decrypt_while0 alg)
([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4;
va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12;
va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx;
va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 3;
va_Mod_mem_heaplet 2; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Loop6x_loop_decrypt_while0 va_old alg va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b
va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur va_s0 va_k =
let (va_sM, va_f0, ctr, iter, y_cur) = va_lemma_Loop6x_loop_decrypt_while0
(va_code_Loop6x_loop_decrypt_while0 alg) va_s0 va_old alg va_in_ctr_BE_orig va_in_h_LE
va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b
va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter
va_in_y_cur in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM
(va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM
(va_update_xmm 2 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM
(va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 1 va_sM
(va_update_xmm 0 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRdi va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM
(va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_ok va_sM (va_update_mem
va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2
va_sM (va_update_flags va_sM va_s0)))))))))))))))))))))))))))))));
va_lemma_norm_mods ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags]) va_sM va_s0;
let va_g = (ctr, iter, y_cur) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Loop6x_loop_decrypt_while0 (va_old:va_state) (alg:algorithm)
(va_in_ctr_BE_orig:quad32) (va_in_h_LE:quad32) (va_in_hkeys_b:buffer128) (va_in_in0_b:buffer128)
(va_in_in_b:buffer128) (va_in_iv_b:buffer128) (va_in_key_words:(seq nat32))
(va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32))
(va_in_round_keys:(seq quad32)) (va_in_scratch_b:buffer128) (va_in_y_orig:quad32)
(va_in_ctr:quad32) (va_in_iter:nat) (va_in_y_cur:quad32) : (va_quickCode (quad32 & nat & quad32)
(va_code_Loop6x_loop_decrypt_while0 alg)) =
(va_QProc (va_code_Loop6x_loop_decrypt_while0 alg) ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7;
va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm
14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0;
va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem;
va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags])
(va_wp_Loop6x_loop_decrypt_while0 va_old alg va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b
va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur)
(va_wpProof_Loop6x_loop_decrypt_while0 va_old alg va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b
va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur))
#pop-options
//--
//-- Loop6x_loop_decrypt
#push-options "--z3rlimit 700"
val va_code_Loop6x_loop_decrypt : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Loop6x_loop_decrypt alg =
(va_Block (va_CCons (va_IfElse (va_cmp_eq (va_op_cmp_reg64 rRdx) (va_const_cmp 6)) (va_Block
(va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR14) (va_const_opr64 96)) (va_CNil ())))
(va_Block (va_CNil ()))) (va_CCons (va_code_Loop6x_loop_decrypt_while0 alg) (va_CNil ()))))
val va_codegen_success_Loop6x_loop_decrypt : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Loop6x_loop_decrypt alg =
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR14) (va_const_opr64 96))
(va_pbool_and (va_codegen_success_Loop6x_loop_decrypt_while0 alg) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Loop6x_loop_decrypt (va_mods:va_mods_t) (alg:algorithm) (h_LE:quad32) (y_orig:quad32)
(y_prev:quad32) (iv_b:buffer128) (in0_b:buffer128) (in_b:buffer128) (out_b:buffer128)
(scratch_b:buffer128) (key_words:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128)
(hkeys_b:buffer128) (ctr_BE_orig:quad32) (ctr_BE:quad32) : (va_quickCode (quad32)
(va_code_Loop6x_loop_decrypt alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (iter:nat) = 0 in
let (ctr:quad32) = ctr_BE in let (y_cur:quad32) = y_prev in let (plain_quads:(seq quad32)) =
Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in_b in let (va_arg44:Vale.Def.Types_s.quad32)
= ctr_BE_orig in let (va_arg43:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = key_words in let
(va_arg42:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s) out_b in let (va_arg41:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = plain_quads in let (va_arg40:Vale.AES.AES_common_s.algorithm) = alg
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 645 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_partial_opaque_init va_arg40 va_arg41 va_arg42 va_arg43
va_arg44) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 648 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_qIf va_mods (Cmp_eq (va_op_cmp_reg64 rRdx) (va_const_cmp 6)) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 649 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rR14) (va_const_opr64 96)) (va_QEmpty (())))) (qblock
va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 651 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x_loop_decrypt_while0 va_old_s alg ctr_BE_orig h_LE hkeys_b in0_b in_b iv_b
key_words keys_b out_b plain_quads round_keys scratch_b y_orig ctr iter y_cur) (fun
(va_s:va_state) va_g -> let (ctr, iter, y_cur) = va_g in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 738 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(fun (_:unit) -> Vale.AES.GCTR.gctr_registers_reveal ()) (let (y_new:quad32) = y_cur in
va_QEmpty ((y_new))))))))
val va_lemma_Loop6x_loop_decrypt : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> h_LE:quad32
-> y_orig:quad32 -> y_prev:quad32 -> iv_b:buffer128 -> in0_b:buffer128 -> in_b:buffer128 ->
out_b:buffer128 -> scratch_b:buffer128 -> key_words:(seq nat32) -> round_keys:(seq quad32) ->
keys_b:buffer128 -> hkeys_b:buffer128 -> ctr_BE_orig:quad32 -> ctr_BE:quad32
-> Ghost (va_state & va_fuel & quad32)
(requires (va_require_total va_b0 (va_code_Loop6x_loop_decrypt alg) va_s0 /\ va_get_ok va_s0 /\
(sse_enabled /\ movbe_enabled /\ (6 <= va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRdx va_s0 + 6 <
pow2_32) /\ va_get_reg64 rRdx va_s0 `op_Modulus` 6 == 0 /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_s0) (va_get_reg64 rR8 va_s0) iv_b 1
(va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_s0) (va_get_reg64 rR14 va_s0) in0_b 6 (va_get_reg64 rRdx va_s0 - 6) (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rRdi va_s0) in_b 0 (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
out_b 0 (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0)
Secret /\ (Vale.X64.Decls.buffers_disjoint128 in_b out_b \/ in_b == out_b) /\ in0_b == in_b /\
va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64
rR14 va_s0 + 16 `op_Multiply` (va_get_reg64 rRdx va_s0 - 6) < pow2_64 /\ va_get_reg64 rRsi
va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ aes_reqs_offset alg key_words
round_keys keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout
va_s0) /\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32 round_keys 0 /\ pclmulqdq_enabled
/\ h_LE == Vale.AES.AES_s.aes_encrypt_LE alg key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\
scratch_reqs scratch_b 0 (va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_s0) in0_b) (va_get_xmm 7 va_s0) /\ y_prev == y_orig /\ y_prev ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s0))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
scratch_b 1 (va_get_mem_heaplet 3 va_s0))))) /\ ctr_BE == Vale.AES.GCTR.inc32lite ctr_BE_orig 0
/\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
va_get_xmm 1 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 0)
/\ va_get_reg64 rRbx va_s0 == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_BE `op_Modulus`
256 /\ va_get_xmm 9 va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 0)) (va_get_xmm 15 va_s0) /\ (va_get_reg64 rRbx va_s0 + 6 < 256
==> va_get_xmm 10 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 1)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 2)) /\ (va_get_reg64 rRbx
va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 3)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13
va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 4)) /\
(va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 5)))))
(ensures (fun (va_sM, va_fM, y_new) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM
/\ (Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 8 /\ l_and (va_get_reg64 rRdx va_s0 - 1 > 0)
(Vale.X64.Decls.modifies_buffer_specific128 out_b (va_get_mem_heaplet 6 va_s0)
(va_get_mem_heaplet 6 va_sM) 0 (va_get_reg64 rRdx va_s0 - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 iv_b (va_get_mem_heaplet 2 va_s0)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 + 16
`op_Multiply` va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 +
16 `op_Multiply` va_get_reg64 rRdx va_s0 /\ l_and (va_get_reg64 rRdx va_s0 - 6 >= 0)
(Vale.AES.GCTR.gctr_partial alg (va_get_reg64 rRdx va_s0 - 6) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) in_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out_b)
key_words ctr_BE_orig) /\ va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 0) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6))) /\ va_get_xmm 10 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 1) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 1))) /\ va_get_xmm 11 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 2) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 2))) /\ va_get_xmm 12 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 3) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 3))) /\ va_get_xmm 13 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 4) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 4))) /\ va_get_xmm 14 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 5) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 5))) /\ y_new == Vale.AES.GHash.ghash_incremental0 h_LE y_orig
(FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0)
in_b) 0 (va_get_reg64 rRdx va_s0)) /\ va_get_xmm 8 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 y_new /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE (va_get_reg64 rRdx
va_s0))) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 3 va_sM
(va_update_mem_heaplet 2 va_sM (va_update_mem_heaplet 6 va_sM (va_update_xmm 15 va_sM
(va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM
(va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM
(va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM
(va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR14
va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRsi va_sM
(va_update_reg64 rRdi va_sM (va_update_ok va_sM (va_update_mem va_sM
va_s0))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Loop6x_loop_decrypt va_b0 va_s0 alg h_LE y_orig y_prev iv_b in0_b in_b out_b scratch_b
key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2;
va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm
11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14;
va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_Loop6x_loop_decrypt va_mods alg h_LE y_orig y_prev iv_b in0_b in_b out_b
scratch_b key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Loop6x_loop_decrypt alg) va_qc va_s0
(fun va_s0 va_sM va_g -> let y_new = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 521 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ (label va_range1
"***** POSTCONDITION NOT MET AT line 614 column 72 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 8) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 615 column 103 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(l_and (va_get_reg64 rRdx va_s0 - 1 > 0) (Vale.X64.Decls.modifies_buffer_specific128 out_b
(va_get_mem_heaplet 6 va_s0) (va_get_mem_heaplet 6 va_sM) 0 (va_get_reg64 rRdx va_s0 - 1))) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 616 column 67 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 iv_b (va_get_mem_heaplet 2 va_s0)
(va_get_mem_heaplet 2 va_sM) 0 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 621 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 622 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 625 column 135 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(l_and (va_get_reg64 rRdx va_s0 - 6 >= 0) (Vale.AES.GCTR.gctr_partial alg (va_get_reg64 rRdx
va_s0 - 6) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in_b) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) out_b) key_words ctr_BE_orig)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 627 column 149 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b
(va_get_reg64 rRdx va_s0 - 6 + 0) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (va_get_reg64 rRdx va_s0 - 6)))) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 628 column 153 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 10 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b
(va_get_reg64 rRdx va_s0 - 6 + 1) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (va_get_reg64 rRdx va_s0 - 6 + 1)))) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 629 column 153 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 11 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b
(va_get_reg64 rRdx va_s0 - 6 + 2) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (va_get_reg64 rRdx va_s0 - 6 + 2)))) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 630 column 153 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 12 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b
(va_get_reg64 rRdx va_s0 - 6 + 3) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (va_get_reg64 rRdx va_s0 - 6 + 3)))) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 631 column 153 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 13 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b
(va_get_reg64 rRdx va_s0 - 6 + 4) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (va_get_reg64 rRdx va_s0 - 6 + 4)))) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 632 column 153 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 14 va_sM == Vale.Def.Types_s.quad32_xor (Vale.X64.Decls.buffer128_read in_b
(va_get_reg64 rRdx va_s0 - 6 + 5) (va_get_mem_heaplet 6 va_s0)) (Vale.AES.GCTR.aes_encrypt_BE
alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig (va_get_reg64 rRdx va_s0 - 6 + 5)))) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 635 column 89 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(y_new == Vale.AES.GHash.ghash_incremental0 h_LE y_orig (FStar.Seq.Base.slice
#Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in_b) 0 (va_get_reg64
rRdx va_s0))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 636 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_new) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 639 column 64 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE
(va_get_reg64 rRdx va_s0))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet
6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10;
va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm
3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_reg64
rRdi; va_Mod_ok; va_Mod_mem]) va_sM va_s0;
let y_new = va_g in
(va_sM, va_fM, y_new)
[@ va_qattr]
let va_wp_Loop6x_loop_decrypt (alg:algorithm) (h_LE:quad32) (y_orig:quad32) (y_prev:quad32)
(iv_b:buffer128) (in0_b:buffer128) (in_b:buffer128) (out_b:buffer128) (scratch_b:buffer128)
(key_words:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128)
(ctr_BE_orig:quad32) (ctr_BE:quad32) (va_s0:va_state) (va_k:(va_state -> quad32 -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ movbe_enabled /\ (6 <= va_get_reg64 rRdx va_s0 /\
va_get_reg64 rRdx va_s0 + 6 < pow2_32) /\ va_get_reg64 rRdx va_s0 `op_Modulus` 6 == 0 /\
va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_s0) (va_get_reg64 rR8 va_s0) iv_b 1
(va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_s0) (va_get_reg64 rR14 va_s0) in0_b 6 (va_get_reg64 rRdx va_s0 - 6) (va_get_mem_layout
va_s0) Secret /\ Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rRdi va_s0) in_b 0 (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
out_b 0 (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0)
Secret /\ (Vale.X64.Decls.buffers_disjoint128 in_b out_b \/ in_b == out_b) /\ in0_b == in_b /\
va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64
rR14 va_s0 + 16 `op_Multiply` (va_get_reg64 rRdx va_s0 - 6) < pow2_64 /\ va_get_reg64 rRsi
va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ aes_reqs_offset alg key_words
round_keys keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout
va_s0) /\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32 round_keys 0 /\ pclmulqdq_enabled
/\ h_LE == Vale.AES.AES_s.aes_encrypt_LE alg key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\
scratch_reqs scratch_b 0 (va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_s0) in0_b) (va_get_xmm 7 va_s0) /\ y_prev == y_orig /\ y_prev ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s0))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
scratch_b 1 (va_get_mem_heaplet 3 va_s0))))) /\ ctr_BE == Vale.AES.GCTR.inc32lite ctr_BE_orig 0
/\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
va_get_xmm 1 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 0)
/\ va_get_reg64 rRbx va_s0 == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr_BE `op_Modulus`
256 /\ va_get_xmm 9 va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 0)) (va_get_xmm 15 va_s0) /\ (va_get_reg64 rRbx va_s0 + 6 < 256
==> va_get_xmm 10 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite
ctr_BE 1)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 2)) /\ (va_get_reg64 rRbx
va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite ctr_BE 3)) /\ (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13
va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 4)) /\
(va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE 5))) /\ (forall
(va_x_mem:vale_heap) (va_x_rdi:nat64) (va_x_rsi:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64)
(va_x_r11:nat64) (va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_xmm0:quad32)
(va_x_xmm1:quad32) (va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32)
(va_x_xmm6:quad32) (va_x_xmm7:quad32) (va_x_xmm8:quad32) (va_x_xmm9:quad32) (va_x_xmm10:quad32)
(va_x_xmm11:quad32) (va_x_xmm12:quad32) (va_x_xmm13:quad32) (va_x_xmm14:quad32)
(va_x_xmm15:quad32) (va_x_heap6:vale_heap) (va_x_heap2:vale_heap) (va_x_heap3:vale_heap)
(va_x_efl:Vale.X64.Flags.t) (y_new:quad32) . let va_sM = va_upd_flags va_x_efl
(va_upd_mem_heaplet 3 va_x_heap3 (va_upd_mem_heaplet 2 va_x_heap2 (va_upd_mem_heaplet 6
va_x_heap6 (va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13 va_x_xmm13
(va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 9
va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5
va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 1
va_x_xmm1 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13
(va_upd_reg64 rR12 va_x_r12 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdi va_x_rdi (va_upd_mem
va_x_mem va_s0)))))))))))))))))))))))))))) in va_get_ok va_sM /\
(Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_s0)
(va_get_mem_heaplet 3 va_sM) 1 8 /\ l_and (va_get_reg64 rRdx va_s0 - 1 > 0)
(Vale.X64.Decls.modifies_buffer_specific128 out_b (va_get_mem_heaplet 6 va_s0)
(va_get_mem_heaplet 6 va_sM) 0 (va_get_reg64 rRdx va_s0 - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 iv_b (va_get_mem_heaplet 2 va_s0)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 + 16
`op_Multiply` va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 +
16 `op_Multiply` va_get_reg64 rRdx va_s0 /\ l_and (va_get_reg64 rRdx va_s0 - 6 >= 0)
(Vale.AES.GCTR.gctr_partial alg (va_get_reg64 rRdx va_s0 - 6) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) in_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out_b)
key_words ctr_BE_orig) /\ va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 0) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6))) /\ va_get_xmm 10 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 1) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 1))) /\ va_get_xmm 11 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 2) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 2))) /\ va_get_xmm 12 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 3) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 3))) /\ va_get_xmm 13 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 4) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 4))) /\ va_get_xmm 14 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.X64.Decls.buffer128_read in_b (va_get_reg64 rRdx va_s0 - 6 + 5) (va_get_mem_heaplet 6
va_s0)) (Vale.AES.GCTR.aes_encrypt_BE alg key_words (Vale.AES.GCTR.inc32lite ctr_BE_orig
(va_get_reg64 rRdx va_s0 - 6 + 5))) /\ y_new == Vale.AES.GHash.ghash_incremental0 h_LE y_orig
(FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0)
in_b) 0 (va_get_reg64 rRdx va_s0)) /\ va_get_xmm 8 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 y_new /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr_BE (va_get_reg64 rRdx
va_s0))) ==> va_k va_sM ((y_new))))
val va_wpProof_Loop6x_loop_decrypt : alg:algorithm -> h_LE:quad32 -> y_orig:quad32 -> y_prev:quad32
-> iv_b:buffer128 -> in0_b:buffer128 -> in_b:buffer128 -> out_b:buffer128 -> scratch_b:buffer128
-> key_words:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 ->
ctr_BE_orig:quad32 -> ctr_BE:quad32 -> va_s0:va_state -> va_k:(va_state -> quad32 -> Type0)
-> Ghost (va_state & va_fuel & quad32)
(requires (va_t_require va_s0 /\ va_wp_Loop6x_loop_decrypt alg h_LE y_orig y_prev iv_b in0_b in_b
out_b scratch_b key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Loop6x_loop_decrypt alg)
([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 6; va_Mod_xmm
15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9;
va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm
2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi;
va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Loop6x_loop_decrypt alg h_LE y_orig y_prev iv_b in0_b in_b out_b scratch_b key_words
round_keys keys_b hkeys_b ctr_BE_orig ctr_BE va_s0 va_k =
let (va_sM, va_f0, y_new) = va_lemma_Loop6x_loop_decrypt (va_code_Loop6x_loop_decrypt alg) va_s0
alg h_LE y_orig y_prev iv_b in0_b in_b out_b scratch_b key_words round_keys keys_b hkeys_b
ctr_BE_orig ctr_BE in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 3 va_sM
(va_update_mem_heaplet 2 va_sM (va_update_mem_heaplet 6 va_sM (va_update_xmm 15 va_sM
(va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM
(va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM
(va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM
(va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR14
va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRsi va_sM
(va_update_reg64 rRdi va_sM (va_update_ok va_sM (va_update_mem va_sM
va_s0)))))))))))))))))))))))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet
6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10;
va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm
3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_reg64
rRdi; va_Mod_mem]) va_sM va_s0;
let va_g = (y_new) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Loop6x_loop_decrypt (alg:algorithm) (h_LE:quad32) (y_orig:quad32) (y_prev:quad32)
(iv_b:buffer128) (in0_b:buffer128) (in_b:buffer128) (out_b:buffer128) (scratch_b:buffer128)
(key_words:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128)
(ctr_BE_orig:quad32) (ctr_BE:quad32) : (va_quickCode quad32 (va_code_Loop6x_loop_decrypt alg)) =
(va_QProc (va_code_Loop6x_loop_decrypt alg) ([va_Mod_flags; va_Mod_mem_heaplet 3;
va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 6; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7;
va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm
0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64
rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_mem])
(va_wp_Loop6x_loop_decrypt alg h_LE y_orig y_prev iv_b in0_b in_b out_b scratch_b key_words
round_keys keys_b hkeys_b ctr_BE_orig ctr_BE) (va_wpProof_Loop6x_loop_decrypt alg h_LE y_orig
y_prev iv_b in0_b in_b out_b scratch_b key_words round_keys keys_b hkeys_b ctr_BE_orig ctr_BE))
#pop-options
//--
//-- Loop6x_loop_body0
#push-options "--z3rlimit 750"
val va_code_Loop6x_loop_body0 : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Loop6x_loop_body0 alg =
(va_Block (va_CCons (va_code_Loop6x alg) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))
val va_codegen_success_Loop6x_loop_body0 : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Loop6x_loop_body0 alg =
(va_pbool_and (va_codegen_success_Loop6x alg) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Loop6x_loop_body0 (va_mods:va_mods_t) (va_old:va_state) (alg:algorithm)
(va_in_count:nat) (va_in_ctr_BE_orig:quad32) (va_in_h_LE:quad32) (va_in_hkeys_b:buffer128)
(va_in_in0_b:buffer128) (va_in_in_b:buffer128) (va_in_iv_b:buffer128) (va_in_key_words:(seq
nat32)) (va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32))
(va_in_round_keys:(seq quad32)) (va_in_scratch_b:buffer128) (va_in_y_orig:quad32)
(va_in_ctr:quad32) (va_in_iter:nat) (va_in_y_cur:quad32) : (va_quickCode (quad32 & nat & quad32)
(va_code_Loop6x_loop_body0 alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (count:nat) =
va_in_count in let (ctr_BE_orig:quad32) = va_in_ctr_BE_orig in let (h_LE:quad32) = va_in_h_LE
in let (hkeys_b:buffer128) = va_in_hkeys_b in let (in0_b:buffer128) = va_in_in0_b in let
(in_b:buffer128) = va_in_in_b in let (iv_b:buffer128) = va_in_iv_b in let (key_words:(seq
nat32)) = va_in_key_words in let (keys_b:buffer128) = va_in_keys_b in let (out_b:buffer128) =
va_in_out_b in let (plain_quads:(seq quad32)) = va_in_plain_quads in let (round_keys:(seq
quad32)) = va_in_round_keys in let (scratch_b:buffer128) = va_in_scratch_b in let
(y_orig:quad32) = va_in_y_orig in let (ctr:quad32) = va_in_ctr in let (iter:nat) = va_in_iter
in let (y_cur:quad32) = va_in_y_cur in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 959 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x alg h_LE y_orig y_cur (count + iter) iv_b in0_b in_b out_b scratch_b
plain_quads key_words round_keys keys_b hkeys_b ctr_BE_orig ctr) (fun (va_s:va_state)
(y_cur:quad32) -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 961 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(iter + 1 >= 0) (fun _ -> let (iter:nat) = iter + 1 in let (ctr:quad32) = Vale.AES.GCTR_s.inc32
ctr 6 in va_QEmpty ((ctr, iter, y_cur))))))
val va_lemma_Loop6x_loop_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
alg:algorithm -> va_in_count:nat -> va_in_ctr_BE_orig:quad32 -> va_in_h_LE:quad32 ->
va_in_hkeys_b:buffer128 -> va_in_in0_b:buffer128 -> va_in_in_b:buffer128 -> va_in_iv_b:buffer128
-> va_in_key_words:(seq nat32) -> va_in_keys_b:buffer128 -> va_in_out_b:buffer128 ->
va_in_plain_quads:(seq quad32) -> va_in_round_keys:(seq quad32) -> va_in_scratch_b:buffer128 ->
va_in_y_orig:quad32 -> va_in_ctr:quad32 -> va_in_iter:nat -> va_in_y_cur:quad32
-> Ghost (va_state & va_fuel & quad32 & nat & quad32)
(requires (va_require_total va_b0 (va_code_Loop6x_loop_body0 alg) va_s0 /\ va_get_ok va_s0 /\
(sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_s0 == va_get_reg64 rRdx va_old - 6
`op_Multiply` va_in_iter /\ va_get_reg64 rR14 va_s0 == va_get_reg64 rR14 va_old + 96
`op_Multiply` va_in_iter /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old + 96
`op_Multiply` va_in_iter /\ va_get_reg64 rRsi va_s0 == va_get_reg64 rRsi va_old + 96
`op_Multiply` va_in_iter /\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2
va_s0) (va_get_reg64 rR8 va_s0) va_in_iv_b 1 (va_get_mem_layout va_s0) Public /\ (va_get_reg64
rRdx va_s0 > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b ((va_in_count - 1) `op_Multiply` 6 + va_in_iter
`op_Multiply` 6) (va_get_reg64 rRdx va_old - va_in_iter `op_Multiply` 6) (va_get_mem_layout
va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi va_s0) va_in_in_b (va_in_count `op_Multiply` 6
+ va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - va_in_iter `op_Multiply` 6)
(va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
va_in_out_b (va_in_count `op_Multiply` 6 + va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - va_in_iter `op_Multiply` 6) (va_get_mem_layout va_s0) Secret) /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
va_in_scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) va_in_hkeys_b 8 (va_get_mem_layout
va_s0) Secret /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b ==
va_in_out_b) /\ va_in_in0_b == va_in_out_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_s0
> 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in_b) (6 `op_Multiply` va_in_count + 6 `op_Multiply`
va_in_iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64
rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\ (va_get_reg64 rRdx va_s0 >
0 ==> va_get_reg64 rR14 va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\
(va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx
va_s0 < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b
(va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_s0) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 +
va_in_iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_s0 == 0 ==> va_get_reg64 rRdx va_old
>= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 +
va_get_reg64 rRdx va_old - 1)) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b
(va_get_mem_heaplet 2 va_old) (va_get_mem_heaplet 2 va_s0) 0 0 /\ aes_reqs_offset alg
va_in_key_words va_in_round_keys va_in_keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0
va_s0) (va_get_mem_layout va_s0) /\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32
va_in_round_keys 0 /\ pclmulqdq_enabled /\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg
va_in_key_words (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) /\
Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) va_in_hkeys_b)
(Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE) /\ va_in_count + va_in_iter - 2 >= 0 /\
(va_get_reg64 rRdx va_s0 > 0 ==> scratch_reqs va_in_scratch_b (va_in_count + va_in_iter - 2)
(va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in0_b)
(va_get_xmm 7 va_s0)) /\ (va_get_reg64 rRdx va_s0 == 0 ==> scratch_reqs va_in_scratch_b
(va_in_count + va_in_iter - 2) (va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in0_b) (Vale.X64.Decls.buffer128_read va_in_scratch_b 2
(va_get_mem_heaplet 3 va_s0))) /\ va_in_y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE
va_in_y_orig (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in0_b) 0 ((va_in_count + va_in_iter - 2) `op_Multiply` 6))
/\ (va_get_reg64 rRdx va_s0 > 0 ==> va_in_y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_s0)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_s0)))))) /\ (va_get_reg64 rRdx va_s0 == 0 ==> va_get_xmm 8 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 va_in_y_cur) /\ 2 <= va_in_count /\ va_get_reg64 rRdx
va_s0 `op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ (6 <= va_get_reg64 rRdx
va_old /\ va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_count
`op_Multiply` 6 + va_in_iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64 rRdx va_s0 > 0 ==>
va_get_reg64 rRdx va_s0 >= 6) /\ va_in_ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (6
`op_Multiply` va_in_count + va_in_iter `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 0) /\ va_get_reg64
rRbx va_s0 == va_in_ctr.lo0 `op_Modulus` 256 /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite va_in_ctr 0)) (va_get_xmm 15 va_s0)) /\ (va_get_reg64 rRdx va_s0 > 0
==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 10 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 1))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 2))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 3))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 4))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 5))) /\ (va_get_reg64
rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s0) (va_get_xmm 10 va_s0)
(va_get_xmm 11 va_s0) (va_get_xmm 12 va_s0) (va_get_xmm 13 va_s0) (va_get_xmm 14 va_s0)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_count + va_in_iter - 1)) /\
(va_get_reg64 rRdx va_s0 > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` va_in_iter) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_s0 == 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count + 6 `op_Multiply` (va_in_iter - 1))
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ va_get_reg64 rRdx va_s0 > 0))
(ensures (fun (va_sM, va_fM, ctr, iter, y_cur) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_sM == va_get_reg64
rRdx va_old - 6 `op_Multiply` iter /\ va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_old + 96
`op_Multiply` iter /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96 `op_Multiply`
iter /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter /\
va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b ((va_in_count - 1) `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM >
0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRdi
va_sM) va_in_in_b (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM >
0 ==> Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRsi
va_sM) va_in_out_b (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_sM) (va_get_reg64 rRbp va_sM)
va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32) va_in_hkeys_b 8 (va_get_mem_layout
va_sM) Secret /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b ==
va_in_out_b) /\ va_in_in0_b == va_in_out_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_sM
> 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in_b) (6 `op_Multiply` va_in_count + 6 `op_Multiply` iter)
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdi va_sM + 16
`op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64 rRdx va_sM > 0 ==>
va_get_reg64 rR14 va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM <
pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b (va_get_mem_heaplet 3
va_old) (va_get_mem_heaplet 3 va_sM) 1 8 /\ Vale.X64.Decls.modifies_buffer_specific128
va_in_out_b (va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) (va_in_count
`op_Multiply` 6) (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx
va_sM == 0 ==> va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128
va_in_out_b (va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) (va_in_count
`op_Multiply` 6) (va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)
/\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_sM) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ va_in_count + iter - 2 >= 0 /\ (va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b
(va_in_count + iter - 2) (va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\ (va_get_reg64 rRdx va_sM == 0 ==> scratch_reqs
va_in_scratch_b (va_in_count + iter - 2) (va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in0_b) (Vale.X64.Decls.buffer128_read va_in_scratch_b 2
(va_get_mem_heaplet 3 va_sM))) /\ y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE
va_in_y_orig (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in0_b) 0 ((va_in_count + iter - 2) `op_Multiply` 6)) /\
(va_get_reg64 rRdx va_sM > 0 ==> y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_sM)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ 2 <= va_in_count /\ va_get_reg64 rRdx va_sM
`op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_sM < pow2_32 /\ (6 <= va_get_reg64 rRdx va_old /\
va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_count
`op_Multiply` 6 + iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64 rRdx va_sM > 0 ==>
va_get_reg64 rRdx va_sM >= 6) /\ ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (6
`op_Multiply` va_in_count + iter `op_Multiply` 6) /\ va_get_xmm 2 va_sM ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\ va_get_reg64 rRbx
va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256 /\ (va_get_reg64 rRdx
va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ (va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM
== Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ (va_get_reg64
rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ (va_get_reg64 rRdx
va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm 10 va_sM)
(va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14 va_sM)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_count + iter - 1)) /\
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` iter) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_sM == 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count + 6 `op_Multiply` (iter - 1))
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ precedes_wrap (va_get_reg64 rRdx va_sM) (va_get_reg64
rRdx va_s0) /\ va_state_eq va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7
va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3
va_sM (va_update_xmm 2 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13
va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 1
va_sM (va_update_xmm 0 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRdi va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM
(va_update_ok va_sM (va_update_mem va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet
3 va_sM (va_update_mem_heaplet 2 va_sM (va_update_flags va_sM
va_s0))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Loop6x_loop_body0 va_b0 va_s0 va_old alg va_in_count va_in_ctr_BE_orig va_in_h_LE
va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b
va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags] in
let va_qc = va_qcode_Loop6x_loop_body0 va_mods va_old alg va_in_count va_in_ctr_BE_orig
va_in_h_LE va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b
va_in_out_b va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr
va_in_iter va_in_y_cur in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Loop6x_loop_body0 alg) va_qc va_s0 (fun
va_s0 va_sM va_g -> let (ctr, iter, y_cur) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 742 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 878 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(sse_enabled /\ movbe_enabled) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 880 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_old - 6 `op_Multiply` iter) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 882 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_old + 96 `op_Multiply` iter) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 883 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96 `op_Multiply` iter) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 884 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 886 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 889 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 891 column 127 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rR14 va_sM) va_in_in0_b ((va_in_count - 1) `op_Multiply` 6 + iter
`op_Multiply` 6) (va_get_reg64 rRdx va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM)
Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 892 column 123 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rRdi va_sM) va_in_in_b (va_in_count `op_Multiply` 6 + iter `op_Multiply`
6) (va_get_reg64 rRdx va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 893 column 123 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rRsi va_sM) va_in_out_b (va_in_count `op_Multiply` 6 + iter `op_Multiply`
6) (va_get_reg64 rRdx va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 895 column 74 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_sM) (va_get_reg64 rRbp va_sM)
va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 896 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32)
va_in_hkeys_b 8 (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 897 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 898 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_in0_b == va_in_out_b) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 900 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) va_in_in_b) >= 6) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 901 column 128 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in_b) (6 `op_Multiply` va_in_count + 6
`op_Multiply` iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 902 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 903 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rR14 va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 904 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 906 column 76 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b (va_get_mem_heaplet 3 va_old)
(va_get_mem_heaplet 3 va_sM) 1 8) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 907 column 95 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 + iter
`op_Multiply` 6 + 5)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 908 column 131 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_reg64 rRdx va_old >= 6 /\
Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 +
va_get_reg64 rRdx va_old - 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 909 column 74 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 912 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(aes_reqs_offset alg va_in_key_words va_in_round_keys va_in_keys_b (va_get_reg64 rRcx va_sM)
(va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 913 column 43 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 916 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
pclmulqdq_enabled /\ label va_range1
"***** POSTCONDITION NOT MET AT line 917 column 71 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 918 column 78 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_sM)
va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 920 column 34 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_count + iter - 2 >= 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 921 column 103 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b (va_in_count + iter - 2)
(va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b)
(va_get_xmm 7 va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 922 column 137 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> scratch_reqs va_in_scratch_b (va_in_count + iter - 2)
(va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b)
(Vale.X64.Decls.buffer128_read va_in_scratch_b 2 (va_get_mem_heaplet 3 va_sM))) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 924 column 112 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice
#Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b) 0
((va_in_count + iter - 2) `op_Multiply` 6))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 926 column 107 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_sM)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_sM)))))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 927 column 59 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
y_cur) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 930 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(2 <= va_in_count) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 931 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM `op_Modulus` 6 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 932 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 933 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(6 <= va_get_reg64 rRdx va_old /\ va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 <
pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 934 column 43 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_count `op_Multiply` 6 + iter `op_Multiply` 6 + 6 < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 935 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdx va_sM >= 6) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 936 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (6 `op_Multiply` va_in_count + iter
`op_Multiply` 6)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 937 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 938 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 939 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 941 column 94 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 943 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 944 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 945 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 946 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 947 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 950 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm
10 va_sM) (va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14
va_sM) va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_count + iter - 1)) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 953 column 117 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` iter) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 954 column 128 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` (iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 955 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(precedes_wrap (va_get_reg64 rRdx va_sM) (va_get_reg64 rRdx va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags]) va_sM va_s0;
let (ctr, iter, y_cur) = va_g in
(va_sM, va_fM, ctr, iter, y_cur)
[@ va_qattr]
let va_wp_Loop6x_loop_body0 (va_old:va_state) (alg:algorithm) (va_in_count:nat)
(va_in_ctr_BE_orig:quad32) (va_in_h_LE:quad32) (va_in_hkeys_b:buffer128) (va_in_in0_b:buffer128)
(va_in_in_b:buffer128) (va_in_iv_b:buffer128) (va_in_key_words:(seq nat32))
(va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32))
(va_in_round_keys:(seq quad32)) (va_in_scratch_b:buffer128) (va_in_y_orig:quad32)
(va_in_ctr:quad32) (va_in_iter:nat) (va_in_y_cur:quad32) (va_s0:va_state) (va_k:(va_state ->
(quad32 & nat & quad32) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_s0 == va_get_reg64
rRdx va_old - 6 `op_Multiply` va_in_iter /\ va_get_reg64 rR14 va_s0 == va_get_reg64 rR14 va_old
+ 96 `op_Multiply` va_in_iter /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old + 96
`op_Multiply` va_in_iter /\ va_get_reg64 rRsi va_s0 == va_get_reg64 rRsi va_old + 96
`op_Multiply` va_in_iter /\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2
va_s0) (va_get_reg64 rR8 va_s0) va_in_iv_b 1 (va_get_mem_layout va_s0) Public /\ (va_get_reg64
rRdx va_s0 > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b ((va_in_count - 1) `op_Multiply` 6 + va_in_iter
`op_Multiply` 6) (va_get_reg64 rRdx va_old - va_in_iter `op_Multiply` 6) (va_get_mem_layout
va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi va_s0) va_in_in_b (va_in_count `op_Multiply` 6
+ va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - va_in_iter `op_Multiply` 6)
(va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
va_in_out_b (va_in_count `op_Multiply` 6 + va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - va_in_iter `op_Multiply` 6) (va_get_mem_layout va_s0) Secret) /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
va_in_scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) va_in_hkeys_b 8 (va_get_mem_layout
va_s0) Secret /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b ==
va_in_out_b) /\ va_in_in0_b == va_in_out_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_s0
> 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in_b) (6 `op_Multiply` va_in_count + 6 `op_Multiply`
va_in_iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64
rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\ (va_get_reg64 rRdx va_s0 >
0 ==> va_get_reg64 rR14 va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\
(va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx
va_s0 < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b
(va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_s0) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 +
va_in_iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_s0 == 0 ==> va_get_reg64 rRdx va_old
>= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 +
va_get_reg64 rRdx va_old - 1)) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b
(va_get_mem_heaplet 2 va_old) (va_get_mem_heaplet 2 va_s0) 0 0 /\ aes_reqs_offset alg
va_in_key_words va_in_round_keys va_in_keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0
va_s0) (va_get_mem_layout va_s0) /\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32
va_in_round_keys 0 /\ pclmulqdq_enabled /\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg
va_in_key_words (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) /\
Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) va_in_hkeys_b)
(Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE) /\ va_in_count + va_in_iter - 2 >= 0 /\
(va_get_reg64 rRdx va_s0 > 0 ==> scratch_reqs va_in_scratch_b (va_in_count + va_in_iter - 2)
(va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in0_b)
(va_get_xmm 7 va_s0)) /\ (va_get_reg64 rRdx va_s0 == 0 ==> scratch_reqs va_in_scratch_b
(va_in_count + va_in_iter - 2) (va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in0_b) (Vale.X64.Decls.buffer128_read va_in_scratch_b 2
(va_get_mem_heaplet 3 va_s0))) /\ va_in_y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE
va_in_y_orig (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in0_b) 0 ((va_in_count + va_in_iter - 2) `op_Multiply` 6))
/\ (va_get_reg64 rRdx va_s0 > 0 ==> va_in_y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_s0)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_s0)))))) /\ (va_get_reg64 rRdx va_s0 == 0 ==> va_get_xmm 8 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 va_in_y_cur) /\ 2 <= va_in_count /\ va_get_reg64 rRdx
va_s0 `op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ (6 <= va_get_reg64 rRdx
va_old /\ va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_count
`op_Multiply` 6 + va_in_iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64 rRdx va_s0 > 0 ==>
va_get_reg64 rRdx va_s0 >= 6) /\ va_in_ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (6
`op_Multiply` va_in_count + va_in_iter `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 0) /\ va_get_reg64
rRbx va_s0 == va_in_ctr.lo0 `op_Modulus` 256 /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite va_in_ctr 0)) (va_get_xmm 15 va_s0)) /\ (va_get_reg64 rRdx va_s0 > 0
==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 10 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 1))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 2))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 3))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 4))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 5))) /\ (va_get_reg64
rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s0) (va_get_xmm 10 va_s0)
(va_get_xmm 11 va_s0) (va_get_xmm 12 va_s0) (va_get_xmm 13 va_s0) (va_get_xmm 14 va_s0)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_count + va_in_iter - 1)) /\
(va_get_reg64 rRdx va_s0 > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` va_in_iter) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_s0 == 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count + 6 `op_Multiply` (va_in_iter - 1))
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ va_get_reg64 rRdx va_s0 > 0 /\ (forall
(va_x_efl:Vale.X64.Flags.t) (va_x_heap2:vale_heap) (va_x_heap3:vale_heap)
(va_x_heap6:vale_heap) (va_x_mem:vale_heap) (va_x_ok:bool) (va_x_r11:nat64) (va_x_r12:nat64)
(va_x_r13:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rdi:nat64) (va_x_rdx:nat64)
(va_x_rsi:nat64) (va_x_xmm0:quad32) (va_x_xmm1:quad32) (va_x_xmm10:quad32) (va_x_xmm11:quad32)
(va_x_xmm12:quad32) (va_x_xmm13:quad32) (va_x_xmm14:quad32) (va_x_xmm15:quad32)
(va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32)
(va_x_xmm7:quad32) (va_x_xmm8:quad32) (va_x_xmm9:quad32) (ctr:quad32) (iter:nat) (y_cur:quad32)
. let va_sM = va_upd_xmm 9 va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7
(va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3
(va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13
va_x_xmm13 (va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10 va_x_xmm10
(va_upd_xmm 1 va_x_xmm1 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx
va_x_rdx (va_upd_reg64 rRdi va_x_rdi (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR12 va_x_r12 (va_upd_reg64 rR11 va_x_r11 (va_upd_ok
va_x_ok (va_upd_mem va_x_mem (va_upd_mem_heaplet 6 va_x_heap6 (va_upd_mem_heaplet 3 va_x_heap3
(va_upd_mem_heaplet 2 va_x_heap2 (va_upd_flags va_x_efl va_s0))))))))))))))))))))))))))))) in
va_get_ok va_sM /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_sM == va_get_reg64
rRdx va_old - 6 `op_Multiply` iter /\ va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_old + 96
`op_Multiply` iter /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96 `op_Multiply`
iter /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter /\
va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b ((va_in_count - 1) `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM >
0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRdi
va_sM) va_in_in_b (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM >
0 ==> Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRsi
va_sM) va_in_out_b (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_sM) (va_get_reg64 rRbp va_sM)
va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32) va_in_hkeys_b 8 (va_get_mem_layout
va_sM) Secret /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b ==
va_in_out_b) /\ va_in_in0_b == va_in_out_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_sM
> 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in_b) (6 `op_Multiply` va_in_count + 6 `op_Multiply` iter)
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdi va_sM + 16
`op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64 rRdx va_sM > 0 ==>
va_get_reg64 rR14 va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM <
pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b (va_get_mem_heaplet 3
va_old) (va_get_mem_heaplet 3 va_sM) 1 8 /\ Vale.X64.Decls.modifies_buffer_specific128
va_in_out_b (va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) (va_in_count
`op_Multiply` 6) (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx
va_sM == 0 ==> va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128
va_in_out_b (va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) (va_in_count
`op_Multiply` 6) (va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)
/\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_sM) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ va_in_count + iter - 2 >= 0 /\ (va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b
(va_in_count + iter - 2) (va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\ (va_get_reg64 rRdx va_sM == 0 ==> scratch_reqs
va_in_scratch_b (va_in_count + iter - 2) (va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in0_b) (Vale.X64.Decls.buffer128_read va_in_scratch_b 2
(va_get_mem_heaplet 3 va_sM))) /\ y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE
va_in_y_orig (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in0_b) 0 ((va_in_count + iter - 2) `op_Multiply` 6)) /\
(va_get_reg64 rRdx va_sM > 0 ==> y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_sM)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ 2 <= va_in_count /\ va_get_reg64 rRdx va_sM
`op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_sM < pow2_32 /\ (6 <= va_get_reg64 rRdx va_old /\
va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_count
`op_Multiply` 6 + iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64 rRdx va_sM > 0 ==>
va_get_reg64 rRdx va_sM >= 6) /\ ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (6
`op_Multiply` va_in_count + iter `op_Multiply` 6) /\ va_get_xmm 2 va_sM ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\ va_get_reg64 rRbx
va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256 /\ (va_get_reg64 rRdx
va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ (va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM
== Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ (va_get_reg64
rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ (va_get_reg64 rRdx
va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm 10 va_sM)
(va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14 va_sM)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_count + iter - 1)) /\
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` iter) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_sM == 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count + 6 `op_Multiply` (iter - 1))
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ precedes_wrap (va_get_reg64 rRdx va_sM) (va_get_reg64
rRdx va_s0) ==> va_k va_sM ((ctr, iter, y_cur))))
val va_wpProof_Loop6x_loop_body0 : va_old:va_state -> alg:algorithm -> va_in_count:nat ->
va_in_ctr_BE_orig:quad32 -> va_in_h_LE:quad32 -> va_in_hkeys_b:buffer128 -> va_in_in0_b:buffer128
-> va_in_in_b:buffer128 -> va_in_iv_b:buffer128 -> va_in_key_words:(seq nat32) ->
va_in_keys_b:buffer128 -> va_in_out_b:buffer128 -> va_in_plain_quads:(seq quad32) ->
va_in_round_keys:(seq quad32) -> va_in_scratch_b:buffer128 -> va_in_y_orig:quad32 ->
va_in_ctr:quad32 -> va_in_iter:nat -> va_in_y_cur:quad32 -> va_s0:va_state -> va_k:(va_state ->
(quad32 & nat & quad32) -> Type0)
-> Ghost (va_state & va_fuel & (quad32 & nat & quad32))
(requires (va_t_require va_s0 /\ va_wp_Loop6x_loop_body0 va_old alg va_in_count va_in_ctr_BE_orig
va_in_h_LE va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b
va_in_out_b va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr
va_in_iter va_in_y_cur va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Loop6x_loop_body0 alg) ([va_Mod_xmm 9;
va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm
2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10;
va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRdi;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11;
va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2;
va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Loop6x_loop_body0 va_old alg va_in_count va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b
va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur va_s0 va_k =
let (va_sM, va_f0, ctr, iter, y_cur) = va_lemma_Loop6x_loop_body0 (va_code_Loop6x_loop_body0 alg)
va_s0 va_old alg va_in_count va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b va_in_in0_b va_in_in_b
va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys
va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM
(va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM
(va_update_xmm 2 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM
(va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 1 va_sM
(va_update_xmm 0 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRdi va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM
(va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_ok va_sM (va_update_mem
va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2
va_sM (va_update_flags va_sM va_s0)))))))))))))))))))))))))))))));
va_lemma_norm_mods ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags]) va_sM va_s0;
let va_g = (ctr, iter, y_cur) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Loop6x_loop_body0 (va_old:va_state) (alg:algorithm) (va_in_count:nat)
(va_in_ctr_BE_orig:quad32) (va_in_h_LE:quad32) (va_in_hkeys_b:buffer128) (va_in_in0_b:buffer128)
(va_in_in_b:buffer128) (va_in_iv_b:buffer128) (va_in_key_words:(seq nat32))
(va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32))
(va_in_round_keys:(seq quad32)) (va_in_scratch_b:buffer128) (va_in_y_orig:quad32)
(va_in_ctr:quad32) (va_in_iter:nat) (va_in_y_cur:quad32) : (va_quickCode (quad32 & nat & quad32)
(va_code_Loop6x_loop_body0 alg)) =
(va_QProc (va_code_Loop6x_loop_body0 alg) ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm
6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14;
va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0;
va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem;
va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags])
(va_wp_Loop6x_loop_body0 va_old alg va_in_count va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b
va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur)
(va_wpProof_Loop6x_loop_body0 va_old alg va_in_count va_in_ctr_BE_orig va_in_h_LE va_in_hkeys_b
va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b va_in_plain_quads
va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur))
#pop-options
//--
//-- Loop6x_loop_while0
#push-options "--z3rlimit 750"
val va_code_Loop6x_loop_while0 : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Loop6x_loop_while0 alg =
(va_Block (va_CCons (va_While (va_cmp_gt (va_op_cmp_reg64 rRdx) (va_const_cmp 0)) (va_Block
(va_CCons (va_code_Loop6x_loop_body0 alg) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Loop6x_loop_while0 : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Loop6x_loop_while0 alg =
(va_pbool_and (va_codegen_success_Loop6x_loop_body0 alg) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Loop6x_loop_while0 (va_mods:va_mods_t) (va_old:va_state) (alg:algorithm)
(va_in_count:nat) (va_in_ctr_BE_orig:quad32) (va_in_h_LE:quad32) (va_in_hkeys_b:buffer128)
(va_in_in0_b:buffer128) (va_in_in_b:buffer128) (va_in_iv_b:buffer128) (va_in_key_words:(seq
nat32)) (va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32))
(va_in_round_keys:(seq quad32)) (va_in_scratch_b:buffer128) (va_in_y_orig:quad32)
(va_in_ctr:quad32) (va_in_iter:nat) (va_in_y_cur:quad32) : (va_quickCode (quad32 & nat & quad32)
(va_code_Loop6x_loop_while0 alg)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (count:nat) =
va_in_count in let (ctr_BE_orig:quad32) = va_in_ctr_BE_orig in let (h_LE:quad32) = va_in_h_LE
in let (hkeys_b:buffer128) = va_in_hkeys_b in let (in0_b:buffer128) = va_in_in0_b in let
(in_b:buffer128) = va_in_in_b in let (iv_b:buffer128) = va_in_iv_b in let (key_words:(seq
nat32)) = va_in_key_words in let (keys_b:buffer128) = va_in_keys_b in let (out_b:buffer128) =
va_in_out_b in let (plain_quads:(seq quad32)) = va_in_plain_quads in let (round_keys:(seq
quad32)) = va_in_round_keys in let (scratch_b:buffer128) = va_in_scratch_b in let
(y_orig:quad32) = va_in_y_orig in let (ctr:quad32) = va_in_ctr in let (iter:nat) = va_in_iter
in let (y_cur:quad32) = va_in_y_cur in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 742 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_qWhile va_mods (Cmp_gt (va_op_cmp_reg64 rRdx) (va_const_cmp 0)) (fun va_g -> let
(ctr:quad32) = let (ctr, iter, y_cur) = va_g in ctr in let (iter:nat) = let (ctr, iter, y_cur)
= va_g in iter in let (y_cur:quad32) = let (ctr, iter, y_cur) = va_g in y_cur in qblock va_mods
(fun (va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 742 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_quick_Loop6x_loop_body0 va_old alg count ctr_BE_orig h_LE hkeys_b in0_b in_b iv_b key_words
keys_b out_b plain_quads round_keys scratch_b y_orig ctr iter y_cur) (fun (va_s:va_state) va_g
-> let (ctr, iter, y_cur) = va_g in va_QEmpty ((ctr, iter, y_cur))))) (fun (va_s:va_state) va_g
-> let (ctr:quad32) = let (ctr, iter, y_cur) = va_g in ctr in let (iter:nat) = let (ctr, iter,
y_cur) = va_g in iter in let (y_cur:quad32) = let (ctr, iter, y_cur) = va_g in y_cur in
va_get_ok va_s /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_s == va_get_reg64 rRdx
va_old - 6 `op_Multiply` iter /\ va_get_reg64 rR14 va_s == va_get_reg64 rR14 va_old + 96
`op_Multiply` iter /\ va_get_reg64 rRdi va_s == va_get_reg64 rRdi va_old + 96 `op_Multiply`
iter /\ va_get_reg64 rRsi va_s == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter /\
va_get_xmm 2 va_s == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_s) (va_get_reg64 rR8 va_s) iv_b 1
(va_get_mem_layout va_s) Public /\ (va_get_reg64 rRdx va_s > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s) (va_get_reg64 rR14 va_s)
in0_b ((count - 1) `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - iter
`op_Multiply` 6) (va_get_mem_layout va_s) Secret) /\ (va_get_reg64 rRdx va_s > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s) (va_get_reg64 rRdi va_s) in_b
(count `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - iter `op_Multiply`
6) (va_get_mem_layout va_s) Secret) /\ (va_get_reg64 rRdx va_s > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s) (va_get_reg64 rRsi va_s)
out_b (count `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - iter
`op_Multiply` 6) (va_get_mem_layout va_s) Secret) /\ Vale.X64.Decls.validDstAddrs128
(va_get_mem_heaplet 3 va_s) (va_get_reg64 rRbp va_s) scratch_b 9 (va_get_mem_layout va_s)
Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s) (va_get_reg64 rR9 va_s -
32) hkeys_b 8 (va_get_mem_layout va_s) Secret /\ (Vale.X64.Decls.buffers_disjoint128 in_b out_b
\/ in_b == out_b) /\ in0_b == out_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) in_b) >= 6 /\ (va_get_reg64 rRdx va_s > 0
==> Vale.AES.GCTR.partial_seq_agreement plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_s) in_b) (6 `op_Multiply` count + 6 `op_Multiply` iter) (FStar.Seq.Base.length
#Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) in_b))) /\
(va_get_reg64 rRdx va_s > 0 ==> va_get_reg64 rRdi va_s + 16 `op_Multiply` va_get_reg64 rRdx
va_s < pow2_64) /\ (va_get_reg64 rRdx va_s > 0 ==> va_get_reg64 rR14 va_s + 16 `op_Multiply`
va_get_reg64 rRdx va_s < pow2_64) /\ (va_get_reg64 rRdx va_s > 0 ==> va_get_reg64 rRsi va_s +
16 `op_Multiply` va_get_reg64 rRdx va_s < pow2_64) /\
Vale.X64.Decls.modifies_buffer_specific128 scratch_b (va_get_mem_heaplet 3 va_old)
(va_get_mem_heaplet 3 va_s) 1 8 /\ Vale.X64.Decls.modifies_buffer_specific128 out_b
(va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_s) (count `op_Multiply` 6) (count
`op_Multiply` 6 + iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_s == 0 ==> va_get_reg64
rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 out_b (va_get_mem_heaplet 6
va_old) (va_get_mem_heaplet 6 va_s) (count `op_Multiply` 6) (count `op_Multiply` 6 +
va_get_reg64 rRdx va_old - 1)) /\ Vale.X64.Decls.modifies_buffer_specific128 iv_b
(va_get_mem_heaplet 2 va_old) (va_get_mem_heaplet 2 va_s) 0 0 /\ aes_reqs_offset alg key_words
round_keys keys_b (va_get_reg64 rRcx va_s) (va_get_mem_heaplet 0 va_s) (va_get_mem_layout va_s)
/\ va_get_xmm 15 va_s == FStar.Seq.Base.index #quad32 round_keys 0 /\ pclmulqdq_enabled /\ h_LE
== Vale.AES.AES_s.aes_encrypt_LE alg key_words (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32
0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s)
hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ count + iter - 2 >= 0 /\ (va_get_reg64
rRdx va_s > 0 ==> scratch_reqs scratch_b (count + iter - 2) (va_get_mem_heaplet 3 va_s)
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in0_b) (va_get_xmm 7 va_s)) /\ (va_get_reg64
rRdx va_s == 0 ==> scratch_reqs scratch_b (count + iter - 2) (va_get_mem_heaplet 3 va_s)
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in0_b) (Vale.X64.Decls.buffer128_read
scratch_b 2 (va_get_mem_heaplet 3 va_s))) /\ y_cur == Vale.AES.GHash.ghash_incremental0 h_LE
y_orig (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_s) in0_b) 0 ((count + iter - 2) `op_Multiply` 6)) /\ (va_get_reg64 rRdx va_s > 0 ==> y_cur
== Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8 va_s)) (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 4 va_s))) (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read
scratch_b 1 (va_get_mem_heaplet 3 va_s)))))) /\ (va_get_reg64 rRdx va_s == 0 ==> va_get_xmm 8
va_s == Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ 2 <= count /\ va_get_reg64 rRdx va_s
`op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_s < pow2_32 /\ (6 <= va_get_reg64 rRdx va_old /\
count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 < pow2_32) /\ count `op_Multiply` 6 + iter
`op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64 rRdx va_s > 0 ==> va_get_reg64 rRdx va_s >= 6)
/\ ctr == Vale.AES.GCTR.inc32lite ctr_BE_orig (6 `op_Multiply` count + iter `op_Multiply` 6) /\
va_get_xmm 2 va_s == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
va_get_xmm 1 va_s == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\
va_get_reg64 rRbx va_s == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256 /\
(va_get_reg64 rRdx va_s > 0 ==> va_get_xmm 9 va_s == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_s))
/\ (va_get_reg64 rRdx va_s > 0 ==> (va_get_reg64 rRbx va_s + 6 < 256 ==> va_get_xmm 10 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ (va_get_reg64 rRdx
va_s > 0 ==> (va_get_reg64 rRbx va_s + 6 < 256 ==> va_get_xmm 11 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ (va_get_reg64 rRdx
va_s > 0 ==> (va_get_reg64 rRbx va_s + 6 < 256 ==> va_get_xmm 12 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ (va_get_reg64 rRdx
va_s > 0 ==> (va_get_reg64 rRbx va_s + 6 < 256 ==> va_get_xmm 13 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ (va_get_reg64 rRdx
va_s > 0 ==> (va_get_reg64 rRbx va_s + 6 < 256 ==> va_get_xmm 14 va_s ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ (va_get_reg64 rRdx
va_s == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s) (va_get_xmm 10 va_s) (va_get_xmm
11 va_s) (va_get_xmm 12 va_s) (va_get_xmm 13 va_s) (va_get_xmm 14 va_s) plain_quads alg
key_words ctr_BE_orig (count + iter - 1)) /\ (va_get_reg64 rRdx va_s > 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` count + 6 `op_Multiply` iter) plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b) key_words ctr_BE_orig) /\ (va_get_reg64
rRdx va_s == 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` count + 6 `op_Multiply`
(iter - 1)) plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out_b) key_words
ctr_BE_orig)) (fun (va_s:va_state) va_g -> let (ctr:quad32) = let (ctr, iter, y_cur) = va_g in
ctr in let (iter:nat) = let (ctr, iter, y_cur) = va_g in iter in let (y_cur:quad32) = let (ctr,
iter, y_cur) = va_g in y_cur in va_get_reg64 rRdx va_s) ((ctr, iter, y_cur))) (fun
(va_s:va_state) va_g -> let (ctr:quad32) = let (ctr, iter, y_cur) = va_g in ctr in let
(iter:nat) = let (ctr, iter, y_cur) = va_g in iter in let (y_cur:quad32) = let (ctr, iter,
y_cur) = va_g in y_cur in let va_g = (ctr, iter, y_cur) in let ((ctr:quad32), (iter:nat),
(y_cur:quad32)) = va_g in va_QEmpty ((ctr, iter, y_cur)))))
val va_lemma_Loop6x_loop_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
alg:algorithm -> va_in_count:nat -> va_in_ctr_BE_orig:quad32 -> va_in_h_LE:quad32 ->
va_in_hkeys_b:buffer128 -> va_in_in0_b:buffer128 -> va_in_in_b:buffer128 -> va_in_iv_b:buffer128
-> va_in_key_words:(seq nat32) -> va_in_keys_b:buffer128 -> va_in_out_b:buffer128 ->
va_in_plain_quads:(seq quad32) -> va_in_round_keys:(seq quad32) -> va_in_scratch_b:buffer128 ->
va_in_y_orig:quad32 -> va_in_ctr:quad32 -> va_in_iter:nat -> va_in_y_cur:quad32
-> Ghost (va_state & va_fuel & quad32 & nat & quad32)
(requires (va_require_total va_b0 (va_code_Loop6x_loop_while0 alg) va_s0 /\ va_get_ok va_s0 /\
(sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_s0 == va_get_reg64 rRdx va_old - 6
`op_Multiply` va_in_iter /\ va_get_reg64 rR14 va_s0 == va_get_reg64 rR14 va_old + 96
`op_Multiply` va_in_iter /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old + 96
`op_Multiply` va_in_iter /\ va_get_reg64 rRsi va_s0 == va_get_reg64 rRsi va_old + 96
`op_Multiply` va_in_iter /\ va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 16777216 /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2
va_s0) (va_get_reg64 rR8 va_s0) va_in_iv_b 1 (va_get_mem_layout va_s0) Public /\ (va_get_reg64
rRdx va_s0 > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0) va_in_in0_b ((va_in_count - 1) `op_Multiply` 6 + va_in_iter
`op_Multiply` 6) (va_get_reg64 rRdx va_old - va_in_iter `op_Multiply` 6) (va_get_mem_layout
va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRdi va_s0) va_in_in_b (va_in_count `op_Multiply` 6
+ va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx va_old - va_in_iter `op_Multiply` 6)
(va_get_mem_layout va_s0) Secret) /\ (va_get_reg64 rRdx va_s0 > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0) (va_get_reg64 rRsi va_s0)
va_in_out_b (va_in_count `op_Multiply` 6 + va_in_iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - va_in_iter `op_Multiply` 6) (va_get_mem_layout va_s0) Secret) /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0)
va_in_scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) va_in_hkeys_b 8 (va_get_mem_layout
va_s0) Secret /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b ==
va_in_out_b) /\ va_in_in0_b == va_in_out_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_s0
> 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in_b) (6 `op_Multiply` va_in_count + 6 `op_Multiply`
va_in_iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64
rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\ (va_get_reg64 rRdx va_s0 >
0 ==> va_get_reg64 rR14 va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64) /\
(va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx
va_s0 < pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b
(va_get_mem_heaplet 3 va_old) (va_get_mem_heaplet 3 va_s0) 1 8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 +
va_in_iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx va_s0 == 0 ==> va_get_reg64 rRdx va_old
>= 6 /\ Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 +
va_get_reg64 rRdx va_old - 1)) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b
(va_get_mem_heaplet 2 va_old) (va_get_mem_heaplet 2 va_s0) 0 0 /\ aes_reqs_offset alg
va_in_key_words va_in_round_keys va_in_keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0
va_s0) (va_get_mem_layout va_s0) /\ va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32
va_in_round_keys 0 /\ pclmulqdq_enabled /\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg
va_in_key_words (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) /\
Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) va_in_hkeys_b)
(Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE) /\ va_in_count + va_in_iter - 2 >= 0 /\
(va_get_reg64 rRdx va_s0 > 0 ==> scratch_reqs va_in_scratch_b (va_in_count + va_in_iter - 2)
(va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in0_b)
(va_get_xmm 7 va_s0)) /\ (va_get_reg64 rRdx va_s0 == 0 ==> scratch_reqs va_in_scratch_b
(va_in_count + va_in_iter - 2) (va_get_mem_heaplet 3 va_s0) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in0_b) (Vale.X64.Decls.buffer128_read va_in_scratch_b 2
(va_get_mem_heaplet 3 va_s0))) /\ va_in_y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE
va_in_y_orig (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_s0) va_in_in0_b) 0 ((va_in_count + va_in_iter - 2) `op_Multiply` 6))
/\ (va_get_reg64 rRdx va_s0 > 0 ==> va_in_y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_s0)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_s0)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_s0)))))) /\ (va_get_reg64 rRdx va_s0 == 0 ==> va_get_xmm 8 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 va_in_y_cur) /\ 2 <= va_in_count /\ va_get_reg64 rRdx
va_s0 `op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ (6 <= va_get_reg64 rRdx
va_old /\ va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_count
`op_Multiply` 6 + va_in_iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64 rRdx va_s0 > 0 ==>
va_get_reg64 rRdx va_s0 >= 6) /\ va_in_ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (6
`op_Multiply` va_in_count + va_in_iter `op_Multiply` 6) /\ va_get_xmm 2 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 0) /\ va_get_reg64
rRbx va_s0 == va_in_ctr.lo0 `op_Modulus` 256 /\ (va_get_reg64 rRdx va_s0 > 0 ==> va_get_xmm 9
va_s0 == Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32
(Vale.AES.GCTR.inc32lite va_in_ctr 0)) (va_get_xmm 15 va_s0)) /\ (va_get_reg64 rRdx va_s0 > 0
==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 10 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 1))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 2))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 12 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 3))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 13 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 4))) /\ (va_get_reg64
rRdx va_s0 > 0 ==> (va_get_reg64 rRbx va_s0 + 6 < 256 ==> va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 5))) /\ (va_get_reg64
rRdx va_s0 == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s0) (va_get_xmm 10 va_s0)
(va_get_xmm 11 va_s0) (va_get_xmm 12 va_s0) (va_get_xmm 13 va_s0) (va_get_xmm 14 va_s0)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_count + va_in_iter - 1)) /\
(va_get_reg64 rRdx va_s0 > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` va_in_iter) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_s0 == 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count + 6 `op_Multiply` (va_in_iter - 1))
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig)))
(ensures (fun (va_sM, va_fM, ctr, iter, y_cur) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ (sse_enabled /\ movbe_enabled) /\ va_get_reg64 rRdx va_sM == va_get_reg64
rRdx va_old - 6 `op_Multiply` iter /\ va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_old + 96
`op_Multiply` iter /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96 `op_Multiply`
iter /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter /\
va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public /\ (va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rR14 va_sM)
va_in_in0_b ((va_in_count - 1) `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM >
0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRdi
va_sM) va_in_in_b (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ (va_get_reg64 rRdx va_sM >
0 ==> Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_sM) (va_get_reg64 rRsi
va_sM) va_in_out_b (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6) (va_get_reg64 rRdx
va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_sM) (va_get_reg64 rRbp va_sM)
va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.validSrcAddrs128
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32) va_in_hkeys_b 8 (va_get_mem_layout
va_sM) Secret /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b ==
va_in_out_b) /\ va_in_in0_b == va_in_out_b /\ FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b) >= 6 /\ (va_get_reg64 rRdx va_sM
> 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in_b) (6 `op_Multiply` va_in_count + 6 `op_Multiply` iter)
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) va_in_in_b))) /\ (va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdi va_sM + 16
`op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64 rRdx va_sM > 0 ==>
va_get_reg64 rR14 va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ (va_get_reg64
rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM <
pow2_64) /\ Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b (va_get_mem_heaplet 3
va_old) (va_get_mem_heaplet 3 va_sM) 1 8 /\ Vale.X64.Decls.modifies_buffer_specific128
va_in_out_b (va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) (va_in_count
`op_Multiply` 6) (va_in_count `op_Multiply` 6 + iter `op_Multiply` 6 + 5) /\ (va_get_reg64 rRdx
va_sM == 0 ==> va_get_reg64 rRdx va_old >= 6 /\ Vale.X64.Decls.buffer_modifies_specific128
va_in_out_b (va_get_mem_heaplet 6 va_old) (va_get_mem_heaplet 6 va_sM) (va_in_count
`op_Multiply` 6) (va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0 /\ aes_reqs_offset alg va_in_key_words va_in_round_keys
va_in_keys_b (va_get_reg64 rRcx va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)
/\ va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled
/\ va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128
(va_get_mem_heaplet 0 va_sM) va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)
/\ va_in_count + iter - 2 >= 0 /\ (va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b
(va_in_count + iter - 2) (va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet
6 va_sM) va_in_in0_b) (va_get_xmm 7 va_sM)) /\ (va_get_reg64 rRdx va_sM == 0 ==> scratch_reqs
va_in_scratch_b (va_in_count + iter - 2) (va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in0_b) (Vale.X64.Decls.buffer128_read va_in_scratch_b 2
(va_get_mem_heaplet 3 va_sM))) /\ y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE
va_in_y_orig (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_sM) va_in_in0_b) 0 ((va_in_count + iter - 2) `op_Multiply` 6)) /\
(va_get_reg64 rRdx va_sM > 0 ==> y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_sM)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_sM)))))) /\ (va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ 2 <= va_in_count /\ va_get_reg64 rRdx va_sM
`op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_sM < pow2_32 /\ (6 <= va_get_reg64 rRdx va_old /\
va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 < pow2_32) /\ va_in_count
`op_Multiply` 6 + iter `op_Multiply` 6 + 6 < pow2_32 /\ (va_get_reg64 rRdx va_sM > 0 ==>
va_get_reg64 rRdx va_sM >= 6) /\ ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (6
`op_Multiply` va_in_count + iter `op_Multiply` 6) /\ va_get_xmm 2 va_sM ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\ va_get_xmm 1 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\ va_get_reg64 rRbx
va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256 /\ (va_get_reg64 rRdx
va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ (va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM
== Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ (va_get_reg64
rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ (va_get_reg64 rRdx
va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ (va_get_reg64 rRdx
va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm 10 va_sM)
(va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14 va_sM)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_count + iter - 1)) /\
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` iter) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ (va_get_reg64 rRdx va_sM == 0 ==>
Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count + 6 `op_Multiply` (iter - 1))
va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b)
va_in_key_words va_in_ctr_BE_orig) /\ ~(va_get_reg64 rRdx va_sM > 0) /\ va_state_eq va_sM
(va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM
(va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM
(va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM
(va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRdi va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM
(va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_ok va_sM (va_update_mem
va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2
va_sM (va_update_flags va_sM va_s0))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Loop6x_loop_while0 va_b0 va_s0 va_old alg va_in_count va_in_ctr_BE_orig va_in_h_LE
va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b va_in_out_b
va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr va_in_iter va_in_y_cur =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags] in
let va_qc = va_qcode_Loop6x_loop_while0 va_mods va_old alg va_in_count va_in_ctr_BE_orig
va_in_h_LE va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b va_in_key_words va_in_keys_b
va_in_out_b va_in_plain_quads va_in_round_keys va_in_scratch_b va_in_y_orig va_in_ctr
va_in_iter va_in_y_cur in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Loop6x_loop_while0 alg) va_qc va_s0
(fun va_s0 va_sM va_g -> let (ctr, iter, y_cur) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 742 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 878 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(sse_enabled /\ movbe_enabled) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 880 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_old - 6 `op_Multiply` iter) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 882 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_old + 96 `op_Multiply` iter) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 883 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96 `op_Multiply` iter) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 884 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 886 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 889 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM) (va_get_reg64 rR8 va_sM)
va_in_iv_b 1 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 891 column 127 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rR14 va_sM) va_in_in0_b ((va_in_count - 1) `op_Multiply` 6 + iter
`op_Multiply` 6) (va_get_reg64 rRdx va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM)
Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 892 column 123 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rRdi va_sM) va_in_in_b (va_in_count `op_Multiply` 6 + iter `op_Multiply`
6) (va_get_reg64 rRdx va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 893 column 123 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6
va_sM) (va_get_reg64 rRsi va_sM) va_in_out_b (va_in_count `op_Multiply` 6 + iter `op_Multiply`
6) (va_get_reg64 rRdx va_old - iter `op_Multiply` 6) (va_get_mem_layout va_sM) Secret) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 895 column 74 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_sM) (va_get_reg64 rRbp va_sM)
va_in_scratch_b 9 (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 896 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rR9 va_sM - 32)
va_in_hkeys_b 8 (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 897 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 898 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_in0_b == va_in_out_b) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 900 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6
va_old) va_in_in_b) >= 6) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 901 column 128 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in_b) (6 `op_Multiply` va_in_count + 6
`op_Multiply` iter) (FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128
(va_get_mem_heaplet 6 va_old) va_in_in_b))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 902 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 903 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rR14 va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 904 column 50 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rRdx
va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 906 column 76 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b (va_get_mem_heaplet 3 va_old)
(va_get_mem_heaplet 3 va_sM) 1 8) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 907 column 95 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 + iter
`op_Multiply` 6 + 5)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 908 column 131 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_reg64 rRdx va_old >= 6 /\
Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b (va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM) (va_in_count `op_Multiply` 6) (va_in_count `op_Multiply` 6 +
va_get_reg64 rRdx va_old - 1)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 909 column 74 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b (va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM) 0 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 912 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(aes_reqs_offset alg va_in_key_words va_in_round_keys va_in_keys_b (va_get_reg64 rRcx va_sM)
(va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 913 column 43 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 916 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
pclmulqdq_enabled /\ label va_range1
"***** POSTCONDITION NOT MET AT line 917 column 71 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_h_LE == Vale.AES.AES_s.aes_encrypt_LE alg va_in_key_words (Vale.Def.Words_s.Mkfour
#Vale.Def.Types_s.nat32 0 0 0 0)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 918 column 78 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_sM)
va_in_hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 920 column 34 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_count + iter - 2 >= 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 921 column 103 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> scratch_reqs va_in_scratch_b (va_in_count + iter - 2)
(va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b)
(va_get_xmm 7 va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 922 column 137 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> scratch_reqs va_in_scratch_b (va_in_count + iter - 2)
(va_get_mem_heaplet 3 va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b)
(Vale.X64.Decls.buffer128_read va_in_scratch_b 2 (va_get_mem_heaplet 3 va_sM))) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 924 column 112 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(y_cur == Vale.AES.GHash.ghash_incremental0 va_in_h_LE va_in_y_orig (FStar.Seq.Base.slice
#Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b) 0
((va_in_count + iter - 2) `op_Multiply` 6))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 926 column 107 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> y_cur == Vale.Def.Types_s.reverse_bytes_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 8
va_sM)) (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_sM)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b 1
(va_get_mem_heaplet 3 va_sM)))))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 927 column 59 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32
y_cur) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 930 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(2 <= va_in_count) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 931 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM `op_Modulus` 6 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 932 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 933 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(6 <= va_get_reg64 rRdx va_old /\ va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 <
pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 934 column 43 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_in_count `op_Multiply` 6 + iter `op_Multiply` 6 + 6 < pow2_32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 935 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdx va_sM >= 6) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 936 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(ctr == Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (6 `op_Multiply` va_in_count + iter
`op_Multiply` 6)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 937 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 938 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 939 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr `op_Modulus` 256) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 941 column 94 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> va_get_xmm 9 va_sM == Vale.Def.Types_s.quad32_xor
(Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0)) (va_get_xmm 15 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 943 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 10 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 944 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 945 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 946 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 947 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> (va_get_reg64 rRbx va_sM + 6 < 256 ==> va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 950 column 96 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm
10 va_sM) (va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14
va_sM) va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_count + iter - 1)) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 953 column 117 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM > 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` iter) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 954 column 128 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(va_get_reg64 rRdx va_sM == 0 ==> Vale.AES.GCTR.gctr_partial alg (6 `op_Multiply` va_in_count +
6 `op_Multiply` (iter - 1)) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM)
va_in_out_b) va_in_key_words va_in_ctr_BE_orig) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 742 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
(~(va_get_reg64 rRdx va_sM > 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5;
va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13;
va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRdi; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 6;
va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_flags]) va_sM va_s0;
let (ctr, iter, y_cur) = va_g in
(va_sM, va_fM, ctr, iter, y_cur) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.State.fsti.checked",
"Vale.X64.QuickCodes.fsti.checked",
"Vale.X64.QuickCode.fst.checked",
"Vale.X64.Memory.fsti.checked",
"Vale.X64.Machine_s.fst.checked",
"Vale.X64.InsVector.fsti.checked",
"Vale.X64.InsMem.fsti.checked",
"Vale.X64.InsBasic.fsti.checked",
"Vale.X64.InsAes.fsti.checked",
"Vale.X64.Flags.fsti.checked",
"Vale.X64.Decls.fsti.checked",
"Vale.X64.CPU_Features_s.fst.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.AES.X64.PolyOps.fsti.checked",
"Vale.AES.X64.AESopt2.fsti.checked",
"Vale.AES.X64.AESopt.fsti.checked",
"Vale.AES.GHash.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_s.fst.checked",
"Vale.AES.GCTR.fsti.checked",
"Vale.AES.GCM_helpers.fsti.checked",
"Vale.AES.AES_s.fst.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_common_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked"
],
"interface_file": true,
"source_file": "Vale.AES.X64.AESGCM.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.AES.X64.AESopt2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.X64.AESopt",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash",
"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.X64.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsAes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"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": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.X64.AESopt2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.X64.AESopt",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash",
"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.X64.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CPU_Features_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsAes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_s",
"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": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.X64",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.X64",
"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": 750,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_old: Vale.X64.Decls.va_state ->
alg: Vale.AES.AES_common_s.algorithm ->
va_in_count: Prims.nat ->
va_in_ctr_BE_orig: Vale.X64.Decls.quad32 ->
va_in_h_LE: Vale.X64.Decls.quad32 ->
va_in_hkeys_b: Vale.X64.Memory.buffer128 ->
va_in_in0_b: Vale.X64.Memory.buffer128 ->
va_in_in_b: Vale.X64.Memory.buffer128 ->
va_in_iv_b: Vale.X64.Memory.buffer128 ->
va_in_key_words: FStar.Seq.Base.seq Vale.X64.Memory.nat32 ->
va_in_keys_b: Vale.X64.Memory.buffer128 ->
va_in_out_b: Vale.X64.Memory.buffer128 ->
va_in_plain_quads: FStar.Seq.Base.seq Vale.X64.Decls.quad32 ->
va_in_round_keys: FStar.Seq.Base.seq Vale.X64.Decls.quad32 ->
va_in_scratch_b: Vale.X64.Memory.buffer128 ->
va_in_y_orig: Vale.X64.Decls.quad32 ->
va_in_ctr: Vale.X64.Decls.quad32 ->
va_in_iter: Prims.nat ->
va_in_y_cur: Vale.X64.Decls.quad32 ->
va_s0: Vale.X64.Decls.va_state ->
va_k:
(
_: Vale.X64.Decls.va_state ->
_: ((Vale.X64.Decls.quad32 * Prims.nat) * Vale.X64.Decls.quad32)
-> Type0)
-> Type0 | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.Decls.va_state",
"Vale.AES.AES_common_s.algorithm",
"Prims.nat",
"Vale.X64.Decls.quad32",
"Vale.X64.Memory.buffer128",
"FStar.Seq.Base.seq",
"Vale.X64.Memory.nat32",
"FStar.Pervasives.Native.tuple3",
"Prims.l_and",
"Prims.b2t",
"Vale.X64.Decls.va_get_ok",
"Vale.X64.CPU_Features_s.sse_enabled",
"Vale.X64.CPU_Features_s.movbe_enabled",
"Prims.eq2",
"Prims.int",
"Vale.X64.Decls.va_get_reg64",
"Vale.X64.Machine_s.rRdx",
"Prims.op_Subtraction",
"Prims.op_Multiply",
"Vale.X64.Machine_s.rR14",
"Prims.op_Addition",
"Vale.X64.Machine_s.rRdi",
"Vale.X64.Machine_s.rRsi",
"Vale.Def.Words_s.four",
"Vale.Def.Types_s.nat32",
"Vale.X64.Decls.va_get_xmm",
"Vale.Def.Words_s.Mkfour",
"Vale.X64.Decls.validDstAddrs128",
"Vale.X64.Decls.va_get_mem_heaplet",
"Vale.X64.Machine_s.rR8",
"Vale.X64.Decls.va_get_mem_layout",
"Vale.Arch.HeapTypes_s.Public",
"Prims.l_imp",
"Prims.op_GreaterThan",
"Vale.X64.Decls.validSrcAddrsOffset128",
"Vale.Arch.HeapTypes_s.Secret",
"Vale.X64.Decls.validDstAddrsOffset128",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.Decls.validSrcAddrs128",
"Vale.X64.Machine_s.rR9",
"Prims.l_or",
"Vale.X64.Decls.buffers_disjoint128",
"Prims.op_GreaterThanOrEqual",
"FStar.Seq.Base.length",
"Vale.X64.Decls.s128",
"Vale.AES.GCTR.partial_seq_agreement",
"Prims.op_LessThan",
"Vale.X64.Machine_s.pow2_64",
"Vale.X64.Decls.modifies_buffer_specific128",
"Vale.X64.Decls.buffer_modifies_specific128",
"Vale.AES.X64.AESopt.aes_reqs_offset",
"Vale.X64.Machine_s.rRcx",
"FStar.Seq.Base.index",
"Vale.X64.CPU_Features_s.pclmulqdq_enabled",
"Vale.Def.Types_s.quad32",
"Vale.AES.AES_s.aes_encrypt_LE",
"Vale.AES.GHash.hkeys_reqs_priv",
"Vale.Def.Types_s.reverse_bytes_quad32",
"Vale.AES.X64.AESopt.scratch_reqs",
"Vale.X64.Decls.buffer128_read",
"Vale.AES.GHash.ghash_incremental0",
"FStar.Seq.Base.slice",
"Vale.Math.Poly2.Bits_s.to_quad32",
"Vale.Math.Poly2_s.add",
"Vale.Math.Poly2.Bits_s.of_quad32",
"Prims.op_LessThanOrEqual",
"Prims.op_Modulus",
"Vale.X64.Machine_s.pow2_32",
"Vale.AES.GCTR.inc32lite",
"Vale.X64.Machine_s.rRbx",
"Vale.Def.Words_s.__proj__Mkfour__item__lo0",
"Vale.Def.Types_s.quad32_xor",
"Vale.AES.GCTR.gctr_registers",
"Vale.AES.GCTR.gctr_partial",
"Prims.l_Forall",
"Vale.X64.Flags.t",
"Vale.X64.InsBasic.vale_heap",
"Prims.bool",
"Vale.X64.Memory.nat64",
"Prims.l_not",
"FStar.Pervasives.Native.Mktuple3",
"Vale.X64.State.vale_state",
"Vale.X64.Decls.va_upd_xmm",
"Vale.X64.Decls.va_upd_reg64",
"Vale.X64.Machine_s.rR13",
"Vale.X64.Machine_s.rR12",
"Vale.X64.Machine_s.rR11",
"Vale.X64.Decls.va_upd_ok",
"Vale.X64.Decls.va_upd_mem",
"Vale.X64.Decls.va_upd_mem_heaplet",
"Vale.X64.Decls.va_upd_flags"
] | [] | false | false | false | true | true | let va_wp_Loop6x_loop_while0
(va_old: va_state)
(alg: algorithm)
(va_in_count: nat)
(va_in_ctr_BE_orig va_in_h_LE: quad32)
(va_in_hkeys_b va_in_in0_b va_in_in_b va_in_iv_b: buffer128)
(va_in_key_words: (seq nat32))
(va_in_keys_b va_in_out_b: buffer128)
(va_in_plain_quads va_in_round_keys: (seq quad32))
(va_in_scratch_b: buffer128)
(va_in_y_orig va_in_ctr: quad32)
(va_in_iter: nat)
(va_in_y_cur: quad32)
(va_s0: va_state)
(va_k: (va_state -> (quad32 & nat & quad32) -> Type0))
: Type0 =
| (va_get_ok va_s0 /\ (sse_enabled /\ movbe_enabled) /\
va_get_reg64 rRdx va_s0 == va_get_reg64 rRdx va_old - 6 `op_Multiply` va_in_iter /\
va_get_reg64 rR14 va_s0 == va_get_reg64 rR14 va_old + 96 `op_Multiply` va_in_iter /\
va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old + 96 `op_Multiply` va_in_iter /\
va_get_reg64 rRsi va_s0 == va_get_reg64 rRsi va_old + 96 `op_Multiply` va_in_iter /\
va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_s0)
(va_get_reg64 rR8 va_s0)
va_in_iv_b
1
(va_get_mem_layout va_s0)
Public /\
(va_get_reg64 rRdx va_s0 > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rR14 va_s0)
va_in_in0_b
((va_in_count - 1) `op_Multiply` 6 + va_in_iter `op_Multiply` 6)
(va_get_reg64 rRdx va_old - va_in_iter `op_Multiply` 6)
(va_get_mem_layout va_s0)
Secret) /\
(va_get_reg64 rRdx va_s0 > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rRdi va_s0)
va_in_in_b
(va_in_count `op_Multiply` 6 + va_in_iter `op_Multiply` 6)
(va_get_reg64 rRdx va_old - va_in_iter `op_Multiply` 6)
(va_get_mem_layout va_s0)
Secret) /\
(va_get_reg64 rRdx va_s0 > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_s0)
(va_get_reg64 rRsi va_s0)
va_in_out_b
(va_in_count `op_Multiply` 6 + va_in_iter `op_Multiply` 6)
(va_get_reg64 rRdx va_old - va_in_iter `op_Multiply` 6)
(va_get_mem_layout va_s0)
Secret) /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0)
(va_get_reg64 rRbp va_s0)
va_in_scratch_b
9
(va_get_mem_layout va_s0)
Secret /\
Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0)
(va_get_reg64 rR9 va_s0 - 32)
va_in_hkeys_b
8
(va_get_mem_layout va_s0)
Secret /\
(Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\
va_in_in0_b == va_in_out_b /\
FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b) >=
6 /\
(va_get_reg64 rRdx va_s0 > 0 ==>
Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in_b)
(6 `op_Multiply` va_in_count + 6 `op_Multiply` va_in_iter)
(FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b))) /\
(va_get_reg64 rRdx va_s0 > 0 ==>
va_get_reg64 rRdi va_s0 + 16 `op_Multiply` (va_get_reg64 rRdx va_s0) < pow2_64) /\
(va_get_reg64 rRdx va_s0 > 0 ==>
va_get_reg64 rR14 va_s0 + 16 `op_Multiply` (va_get_reg64 rRdx va_s0) < pow2_64) /\
(va_get_reg64 rRdx va_s0 > 0 ==>
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` (va_get_reg64 rRdx va_s0) < pow2_64) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b
(va_get_mem_heaplet 3 va_old)
(va_get_mem_heaplet 3 va_s0)
1
8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0)
(va_in_count `op_Multiply` 6)
(va_in_count `op_Multiply` 6 + va_in_iter `op_Multiply` 6 + 5) /\
(va_get_reg64 rRdx va_s0 == 0 ==>
va_get_reg64 rRdx va_old >= 6 /\
Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_s0)
(va_in_count `op_Multiply` 6)
(va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b
(va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_s0)
0
0 /\
aes_reqs_offset alg
va_in_key_words
va_in_round_keys
va_in_keys_b
(va_get_reg64 rRcx va_s0)
(va_get_mem_heaplet 0 va_s0)
(va_get_mem_layout va_s0) /\
va_get_xmm 15 va_s0 == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled /\
va_in_h_LE ==
Vale.AES.AES_s.aes_encrypt_LE alg
va_in_key_words
(Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) /\
Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) va_in_hkeys_b)
(Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE) /\ va_in_count + va_in_iter - 2 >= 0 /\
(va_get_reg64 rRdx va_s0 > 0 ==>
scratch_reqs va_in_scratch_b
(va_in_count + va_in_iter - 2)
(va_get_mem_heaplet 3 va_s0)
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in0_b)
(va_get_xmm 7 va_s0)) /\
(va_get_reg64 rRdx va_s0 == 0 ==>
scratch_reqs va_in_scratch_b
(va_in_count + va_in_iter - 2)
(va_get_mem_heaplet 3 va_s0)
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in0_b)
(Vale.X64.Decls.buffer128_read va_in_scratch_b 2 (va_get_mem_heaplet 3 va_s0))) /\
va_in_y_cur ==
Vale.AES.GHash.ghash_incremental0 va_in_h_LE
va_in_y_orig
(FStar.Seq.Base.slice #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_in0_b)
0
((va_in_count + va_in_iter - 2) `op_Multiply` 6)) /\
(va_get_reg64 rRdx va_s0 > 0 ==>
va_in_y_cur ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 8 va_s0))
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_s0)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b
1
(va_get_mem_heaplet 3 va_s0)))))) /\
(va_get_reg64 rRdx va_s0 == 0 ==>
va_get_xmm 8 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 va_in_y_cur) /\ 2 <= va_in_count /\
(va_get_reg64 rRdx va_s0) `op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\
(6 <= va_get_reg64 rRdx va_old /\
va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 < pow2_32) /\
va_in_count `op_Multiply` 6 + va_in_iter `op_Multiply` 6 + 6 < pow2_32 /\
(va_get_reg64 rRdx va_s0 > 0 ==> va_get_reg64 rRdx va_s0 >= 6) /\
va_in_ctr ==
Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig
(6 `op_Multiply` va_in_count + va_in_iter `op_Multiply` 6) /\
va_get_xmm 2 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
va_get_xmm 1 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 0) /\
va_get_reg64 rRbx va_s0 == va_in_ctr.lo0 `op_Modulus` 256 /\
(va_get_reg64 rRdx va_s0 > 0 ==>
va_get_xmm 9 va_s0 ==
Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr
0))
(va_get_xmm 15 va_s0)) /\
(va_get_reg64 rRdx va_s0 > 0 ==>
(va_get_reg64 rRbx va_s0 + 6 < 256 ==>
va_get_xmm 10 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 1))) /\
(va_get_reg64 rRdx va_s0 > 0 ==>
(va_get_reg64 rRbx va_s0 + 6 < 256 ==>
va_get_xmm 11 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 2))) /\
(va_get_reg64 rRdx va_s0 > 0 ==>
(va_get_reg64 rRbx va_s0 + 6 < 256 ==>
va_get_xmm 12 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 3))) /\
(va_get_reg64 rRdx va_s0 > 0 ==>
(va_get_reg64 rRbx va_s0 + 6 < 256 ==>
va_get_xmm 13 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 4))) /\
(va_get_reg64 rRdx va_s0 > 0 ==>
(va_get_reg64 rRbx va_s0 + 6 < 256 ==>
va_get_xmm 14 va_s0 ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite va_in_ctr 5))) /\
(va_get_reg64 rRdx va_s0 == 0 ==>
Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_s0) (va_get_xmm 10 va_s0) (va_get_xmm 11 va_s0)
(va_get_xmm 12 va_s0) (va_get_xmm 13 va_s0) (va_get_xmm 14 va_s0) va_in_plain_quads alg
va_in_key_words va_in_ctr_BE_orig (va_in_count + va_in_iter - 1)) /\
(va_get_reg64 rRdx va_s0 > 0 ==>
Vale.AES.GCTR.gctr_partial alg
(6 `op_Multiply` va_in_count + 6 `op_Multiply` va_in_iter)
va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_out_b)
va_in_key_words
va_in_ctr_BE_orig) /\
(va_get_reg64 rRdx va_s0 == 0 ==>
Vale.AES.GCTR.gctr_partial alg
(6 `op_Multiply` va_in_count + 6 `op_Multiply` (va_in_iter - 1))
va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) va_in_out_b)
va_in_key_words
va_in_ctr_BE_orig) /\
(forall (va_x_efl: Vale.X64.Flags.t) (va_x_heap2: vale_heap) (va_x_heap3: vale_heap)
(va_x_heap6: vale_heap) (va_x_mem: vale_heap) (va_x_ok: bool) (va_x_r11: nat64)
(va_x_r12: nat64) (va_x_r13: nat64) (va_x_r14: nat64) (va_x_rbx: nat64) (va_x_rdi: nat64)
(va_x_rdx: nat64) (va_x_rsi: nat64) (va_x_xmm0: quad32) (va_x_xmm1: quad32)
(va_x_xmm10: quad32) (va_x_xmm11: quad32) (va_x_xmm12: quad32) (va_x_xmm13: quad32)
(va_x_xmm14: quad32) (va_x_xmm15: quad32) (va_x_xmm2: quad32) (va_x_xmm3: quad32)
(va_x_xmm4: quad32) (va_x_xmm5: quad32) (va_x_xmm6: quad32) (va_x_xmm7: quad32)
(va_x_xmm8: quad32) (va_x_xmm9: quad32) (ctr: quad32) (iter: nat) (y_cur: quad32).
let va_sM =
va_upd_xmm 9
va_x_xmm9
(va_upd_xmm 8
va_x_xmm8
(va_upd_xmm 7
va_x_xmm7
(va_upd_xmm 6
va_x_xmm6
(va_upd_xmm 5
va_x_xmm5
(va_upd_xmm 4
va_x_xmm4
(va_upd_xmm 3
va_x_xmm3
(va_upd_xmm 2
va_x_xmm2
(va_upd_xmm 15
va_x_xmm15
(va_upd_xmm 14
va_x_xmm14
(va_upd_xmm 13
va_x_xmm13
(va_upd_xmm 12
va_x_xmm12
(va_upd_xmm 11
va_x_xmm11
(va_upd_xmm 10
va_x_xmm10
(va_upd_xmm 1
va_x_xmm1
(va_upd_xmm 0
va_x_xmm0
(va_upd_reg64 rRsi
va_x_rsi
(va_upd_reg64 rRdx
va_x_rdx
(va_upd_reg64 rRdi
va_x_rdi
(va_upd_reg64 rRbx
va_x_rbx
(va_upd_reg64 rR14
va_x_r14
(va_upd_reg64
rR13
va_x_r13
(va_upd_reg64
rR12
va_x_r12
(va_upd_reg64
rR11
va_x_r11
(
va_upd_ok
va_x_ok
(
va_upd_mem
va_x_mem
(
va_upd_mem_heaplet
6
va_x_heap6
(
va_upd_mem_heaplet
3
va_x_heap3
(
va_upd_mem_heaplet
2
va_x_heap2
(
va_upd_flags
va_x_efl
va_s0
)
)
)
)
)
)
))
))))))))))
)))))))))))
in
va_get_ok va_sM /\ (sse_enabled /\ movbe_enabled) /\
va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_old - 6 `op_Multiply` iter /\
va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_old + 96 `op_Multiply` iter /\
va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old + 96 `op_Multiply` iter /\
va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_old + 96 `op_Multiply` iter /\
va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_sM)
(va_get_reg64 rR8 va_sM)
va_in_iv_b
1
(va_get_mem_layout va_sM)
Public /\
(va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM)
(va_get_reg64 rR14 va_sM)
va_in_in0_b
((va_in_count - 1) `op_Multiply` 6 + iter `op_Multiply` 6)
(va_get_reg64 rRdx va_old - iter `op_Multiply` 6)
(va_get_mem_layout va_sM)
Secret) /\
(va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 6 va_sM)
(va_get_reg64 rRdi va_sM)
va_in_in_b
(va_in_count `op_Multiply` 6 + iter `op_Multiply` 6)
(va_get_reg64 rRdx va_old - iter `op_Multiply` 6)
(va_get_mem_layout va_sM)
Secret) /\
(va_get_reg64 rRdx va_sM > 0 ==>
Vale.X64.Decls.validDstAddrsOffset128 (va_get_mem_heaplet 6 va_sM)
(va_get_reg64 rRsi va_sM)
va_in_out_b
(va_in_count `op_Multiply` 6 + iter `op_Multiply` 6)
(va_get_reg64 rRdx va_old - iter `op_Multiply` 6)
(va_get_mem_layout va_sM)
Secret) /\
Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_sM)
(va_get_reg64 rRbp va_sM)
va_in_scratch_b
9
(va_get_mem_layout va_sM)
Secret /\
Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_sM)
(va_get_reg64 rR9 va_sM - 32)
va_in_hkeys_b
8
(va_get_mem_layout va_sM)
Secret /\
(Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\
va_in_in0_b == va_in_out_b /\
FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b) >=
6 /\
(va_get_reg64 rRdx va_sM > 0 ==>
Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in_b)
(6 `op_Multiply` va_in_count + 6 `op_Multiply` iter)
(FStar.Seq.Base.length #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old) va_in_in_b))) /\
(va_get_reg64 rRdx va_sM > 0 ==>
va_get_reg64 rRdi va_sM + 16 `op_Multiply` (va_get_reg64 rRdx va_sM) < pow2_64) /\
(va_get_reg64 rRdx va_sM > 0 ==>
va_get_reg64 rR14 va_sM + 16 `op_Multiply` (va_get_reg64 rRdx va_sM) < pow2_64) /\
(va_get_reg64 rRdx va_sM > 0 ==>
va_get_reg64 rRsi va_sM + 16 `op_Multiply` (va_get_reg64 rRdx va_sM) < pow2_64) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_scratch_b
(va_get_mem_heaplet 3 va_old)
(va_get_mem_heaplet 3 va_sM)
1
8 /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM)
(va_in_count `op_Multiply` 6)
(va_in_count `op_Multiply` 6 + iter `op_Multiply` 6 + 5) /\
(va_get_reg64 rRdx va_sM == 0 ==>
va_get_reg64 rRdx va_old >= 6 /\
Vale.X64.Decls.buffer_modifies_specific128 va_in_out_b
(va_get_mem_heaplet 6 va_old)
(va_get_mem_heaplet 6 va_sM)
(va_in_count `op_Multiply` 6)
(va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old - 1)) /\
Vale.X64.Decls.modifies_buffer_specific128 va_in_iv_b
(va_get_mem_heaplet 2 va_old)
(va_get_mem_heaplet 2 va_sM)
0
0 /\
aes_reqs_offset alg
va_in_key_words
va_in_round_keys
va_in_keys_b
(va_get_reg64 rRcx va_sM)
(va_get_mem_heaplet 0 va_sM)
(va_get_mem_layout va_sM) /\
va_get_xmm 15 va_sM == FStar.Seq.Base.index #quad32 va_in_round_keys 0 /\ pclmulqdq_enabled /\
va_in_h_LE ==
Vale.AES.AES_s.aes_encrypt_LE alg
va_in_key_words
(Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) /\
Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_sM) va_in_hkeys_b
)
(Vale.Def.Types_s.reverse_bytes_quad32 va_in_h_LE) /\ va_in_count + iter - 2 >= 0 /\
(va_get_reg64 rRdx va_sM > 0 ==>
scratch_reqs va_in_scratch_b
(va_in_count + iter - 2)
(va_get_mem_heaplet 3 va_sM)
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b)
(va_get_xmm 7 va_sM)) /\
(va_get_reg64 rRdx va_sM == 0 ==>
scratch_reqs va_in_scratch_b
(va_in_count + iter - 2)
(va_get_mem_heaplet 3 va_sM)
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b)
(Vale.X64.Decls.buffer128_read va_in_scratch_b 2 (va_get_mem_heaplet 3 va_sM))) /\
y_cur ==
Vale.AES.GHash.ghash_incremental0 va_in_h_LE
va_in_y_orig
(FStar.Seq.Base.slice #Vale.X64.Decls.quad32
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_in0_b)
0
((va_in_count + iter - 2) `op_Multiply` 6)) /\
(va_get_reg64 rRdx va_sM > 0 ==>
y_cur ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 (add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_xmm 8 va_sM))
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_xmm 4 va_sM)))
(Vale.Math.Poly2.Bits_s.of_quad32 (Vale.X64.Decls.buffer128_read va_in_scratch_b
1
(va_get_mem_heaplet 3 va_sM)))))) /\
(va_get_reg64 rRdx va_sM == 0 ==>
va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_cur) /\ 2 <= va_in_count /\
(va_get_reg64 rRdx va_sM) `op_Modulus` 6 == 0 /\ va_get_reg64 rRdx va_sM < pow2_32 /\
(6 <= va_get_reg64 rRdx va_old /\
va_in_count `op_Multiply` 6 + va_get_reg64 rRdx va_old + 6 < pow2_32) /\
va_in_count `op_Multiply` 6 + iter `op_Multiply` 6 + 6 < pow2_32 /\
(va_get_reg64 rRdx va_sM > 0 ==> va_get_reg64 rRdx va_sM >= 6) /\
ctr ==
Vale.AES.GCTR.inc32lite va_in_ctr_BE_orig (6 `op_Multiply` va_in_count + iter `op_Multiply` 6) /\
va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
va_get_xmm 1 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 0) /\
va_get_reg64 rRbx va_sM == (Vale.Def.Words_s.__proj__Mkfour__item__lo0 ctr) `op_Modulus` 256 /\
(va_get_reg64 rRdx va_sM > 0 ==>
va_get_xmm 9 va_sM ==
Vale.Def.Types_s.quad32_xor (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr
0))
(va_get_xmm 15 va_sM)) /\
(va_get_reg64 rRdx va_sM > 0 ==>
(va_get_reg64 rRbx va_sM + 6 < 256 ==>
va_get_xmm 10 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 1))) /\
(va_get_reg64 rRdx va_sM > 0 ==>
(va_get_reg64 rRbx va_sM + 6 < 256 ==>
va_get_xmm 11 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 2))) /\
(va_get_reg64 rRdx va_sM > 0 ==>
(va_get_reg64 rRbx va_sM + 6 < 256 ==>
va_get_xmm 12 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 3))) /\
(va_get_reg64 rRdx va_sM > 0 ==>
(va_get_reg64 rRbx va_sM + 6 < 256 ==>
va_get_xmm 13 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 4))) /\
(va_get_reg64 rRdx va_sM > 0 ==>
(va_get_reg64 rRbx va_sM + 6 < 256 ==>
va_get_xmm 14 va_sM ==
Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GCTR.inc32lite ctr 5))) /\
(va_get_reg64 rRdx va_sM == 0 ==>
Vale.AES.GCTR.gctr_registers (va_get_xmm 9 va_sM) (va_get_xmm 10 va_sM)
(va_get_xmm 11 va_sM) (va_get_xmm 12 va_sM) (va_get_xmm 13 va_sM) (va_get_xmm 14 va_sM)
va_in_plain_quads alg va_in_key_words va_in_ctr_BE_orig (va_in_count + iter - 1)) /\
(va_get_reg64 rRdx va_sM > 0 ==>
Vale.AES.GCTR.gctr_partial alg
(6 `op_Multiply` va_in_count + 6 `op_Multiply` iter)
va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b)
va_in_key_words
va_in_ctr_BE_orig) /\
(va_get_reg64 rRdx va_sM == 0 ==>
Vale.AES.GCTR.gctr_partial alg
(6 `op_Multiply` va_in_count + 6 `op_Multiply` (iter - 1))
va_in_plain_quads
(Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) va_in_out_b)
va_in_key_words
va_in_ctr_BE_orig) /\ ~(va_get_reg64 rRdx va_sM > 0) ==>
va_k va_sM ((ctr, iter, y_cur)))) | false |
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