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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
FStar.Tactics.CanonCommMonoidSimple.Equiv.fst | FStar.Tactics.CanonCommMonoidSimple.Equiv.convert_am | val convert_am (am: amap term) : term | val convert_am (am: amap term) : term | let convert_am (am : amap term) : term =
let (map, def) = am in
(* let def = norm_term [delta] def in *)
`( (`#(convert_map map), `#def) ) | {
"file_name": "ulib/FStar.Tactics.CanonCommMonoidSimple.Equiv.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 35,
"end_line": 330,
"start_col": 0,
"start_line": 327
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Tactics.CanonCommMonoidSimple.Equiv
open FStar.Algebra.CommMonoid.Equiv
open FStar.List
open FStar.Classical
open FStar.Tactics.CanonCommSwaps
open FStar.Tactics.V2
let term_eq = FStar.Tactics.term_eq_old
(* A simple expression canonizer for commutative monoids (working up to
some given equivalence relation as opposed to just propositional equality).
For a canonizer with more features see FStar.Tactics.CanonCommMonoid.fst.
Based on FStar.Tactics.CanonCommMonoidSimple.fst
*)
(* Only dump when debugging is on *)
//let dump m = if debugging () then dump m
(***** Expression syntax *)
// GM: ugh, we had `nat`, but then we get bitten by lack
// of subtyping over datatypes when we typecheck the amap term
// we generate (see convert_am).
let atom : eqtype = int
type exp : Type =
| Unit : exp
| Mult : exp -> exp -> exp
| Atom : atom -> exp
let rec exp_to_string (e:exp) : string =
match e with
| Unit -> "Unit"
| Atom x -> "Atom " ^ string_of_int (x <: atom)
| Mult e1 e2 -> "Mult (" ^ exp_to_string e1
^ ") (" ^ exp_to_string e2 ^ ")"
(***** Expression denotation *)
// Use a map that stores for each atom
// (1) its denotation that should be treated abstractly (type a) and
// (2) user-specified extra information depending on its term (type b)
let amap (a:Type) = list (atom * a) * a
let const (#a:Type) (xa:a) : amap a = ([], xa)
let select (#a:Type) (x:atom) (am:amap a) : Tot a =
match assoc #atom #a x (fst am) with
| Some a -> a
| _ -> snd am
let update (#a:Type) (x:atom) (xa:a) (am:amap a) : amap a =
(x, xa)::fst am, snd am
let rec mdenote (#a:Type u#aa) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : a =
match e with
| Unit -> CM?.unit m
| Atom x -> select x am
| Mult e1 e2 -> CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2)
let rec xsdenote (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) : a =
match xs with
| [] -> CM?.unit m
| [x] -> select x am
| x::xs' -> CM?.mult m (select x am) (xsdenote eq m am xs')
(***** Flattening expressions to lists of atoms *)
let rec flatten (e:exp) : list atom =
match e with
| Unit -> []
| Atom x -> [x]
| Mult e1 e2 -> flatten e1 @ flatten e2
let rec flatten_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs1 xs2:list atom)
: Lemma (xsdenote eq m am (xs1 @ xs2) `EQ?.eq eq` CM?.mult m (xsdenote eq m am xs1)
(xsdenote eq m am xs2)) =
match xs1 with
| [] ->
CM?.identity m (xsdenote eq m am xs2);
EQ?.symmetry eq (CM?.mult m (CM?.unit m) (xsdenote eq m am xs2)) (xsdenote eq m am xs2)
| [x] -> (
if (Nil? xs2)
then (right_identity eq m (select x am);
EQ?.symmetry eq (CM?.mult m (select x am) (CM?.unit m)) (select x am))
else EQ?.reflexivity eq (CM?.mult m (xsdenote eq m am [x]) (xsdenote eq m am xs2)))
| x::xs1' ->
flatten_correct_aux eq m am xs1' xs2;
EQ?.reflexivity eq (select x am);
CM?.congruence m (select x am) (xsdenote eq m am (xs1' @ xs2))
(select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2));
CM?.associativity m (select x am) (xsdenote eq m am xs1') (xsdenote eq m am xs2);
EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2))
(CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)));
EQ?.transitivity eq (CM?.mult m (select x am) (xsdenote eq m am (xs1' @ xs2)))
(CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)))
(CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2))
let rec flatten_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp)
: Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (flatten e)) =
match e with
| Unit -> EQ?.reflexivity eq (CM?.unit m)
| Atom x -> EQ?.reflexivity eq (select x am)
| Mult e1 e2 ->
flatten_correct_aux eq m am (flatten e1) (flatten e2);
EQ?.symmetry eq (xsdenote eq m am (flatten e1 @ flatten e2))
(CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)));
flatten_correct eq m am e1;
flatten_correct eq m am e2;
CM?.congruence m (mdenote eq m am e1) (mdenote eq m am e2)
(xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2));
EQ?.transitivity eq (CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2))
(CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)))
(xsdenote eq m am (flatten e1 @ flatten e2))
(***** Permuting the lists of atoms
by swapping adjacent elements *)
let permute = list atom -> list atom
// high-level correctness criterion for permutations
let permute_correct (p:permute) =
#a:Type -> eq:equiv a -> m:cm a eq -> am:amap a -> xs:list atom ->
Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs))
// sufficient condition:
// permutation has to be expressible as swaps of adjacent list elements
// In the general case, an arbitrary permutation can be done via swaps.
// (see FStar.Tactics.CanonCommSwaps for a proof)
let rec apply_swap_aux_correct (#a:Type) (n:nat) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (s:swap (length xs + n))
: Lemma (requires True)
(ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap_aux n xs s)))
(decreases xs) =
match xs with
| [] -> EQ?.reflexivity eq (CM?.unit m)
| [x] -> EQ?.reflexivity eq (select x am)
| [x1;x2] ->
if n = (s <: nat)
then CM?.commutativity m (select x1 am) (select x2 am)
else EQ?.reflexivity eq (xsdenote eq m am [x1;x2])
| x1 :: x2 :: xs' ->
if n = (s <: nat)
then (
CM?.associativity m (select x1 am) (select x2 am) (xsdenote eq m am xs');
EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs'))
(CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')));
CM?.commutativity m (select x1 am) (select x2 am);
EQ?.reflexivity eq (xsdenote eq m am xs');
CM?.congruence m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs')
(CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs');
CM?.associativity m (select x2 am) (select x1 am) (xsdenote eq m am xs');
EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')))
(CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs'))
(CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'));
EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')))
(CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'))
(CM?.mult m (select x2 am) (CM?.mult m (select x1 am) (xsdenote eq m am xs'))))
else (
apply_swap_aux_correct (n+1) eq m am (x2 :: xs') s;
EQ?.reflexivity eq (select x1 am);
CM?.congruence m (select x1 am) (xsdenote eq m am (x2 :: xs'))
(select x1 am) (xsdenote eq m am (apply_swap_aux (n+1) (x2 :: xs') s)))
let apply_swap_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (s:swap (length xs))
: Lemma (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap xs s)))
(decreases xs) =
apply_swap_aux_correct 0 eq m am xs s
let rec apply_swaps_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (ss:list (swap (length xs)))
: Lemma (requires True)
(ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swaps xs ss)))
(decreases ss) =
match ss with
| [] -> EQ?.reflexivity eq (xsdenote eq m am xs)
| s::ss' ->
apply_swap_correct eq m am xs s;
apply_swaps_correct eq m am (apply_swap xs s) ss';
EQ?.transitivity eq (xsdenote eq m am xs)
(xsdenote eq m am (apply_swap xs s))
(xsdenote eq m am (apply_swaps (apply_swap xs s) ss'))
let permute_via_swaps (p:permute) =
(#a:Type) -> (am:amap a) -> xs:list atom ->
Lemma (exists (ss:swaps_for xs). p xs == apply_swaps xs ss)
let permute_via_swaps_correct_aux (p:permute) (pvs:permute_via_swaps p)
(#a:Type) (eq:equiv a)(m:cm a eq) (am:amap a) (xs:list atom)
: Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs)) =
pvs am xs;
assert(exists (ss:swaps_for xs). p xs == apply_swaps xs ss);
exists_elim (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs))
(() <: squash (exists (ss:swaps_for xs). p xs == apply_swaps xs ss))
(fun ss -> apply_swaps_correct eq m am xs ss)
let permute_via_swaps_correct
(p:permute) (pvs:permute_via_swaps p) : permute_correct p =
fun #a -> permute_via_swaps_correct_aux p pvs #a
(***** Sorting atoms is a correct permutation
(since it can be done by swaps) *)
// Here we sort the variable numbers
let sort : permute = List.Tot.Base.sortWith #int (compare_of_bool (<))
let sort_via_swaps (#a:Type) (am:amap a) (xs:list atom)
: Lemma (exists (ss:swaps_for xs). sort xs == apply_swaps xs ss)
= List.Tot.Properties.sortWith_permutation #int (compare_of_bool (<)) xs;
let ss = equal_counts_implies_swaps xs (sort xs) in
()
let sort_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom)
: Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (sort xs)) =
permute_via_swaps_correct sort (fun #a am -> sort_via_swaps am) eq m am xs
let sort_correct : permute_correct sort = (fun #a -> sort_correct_aux #a)
(***** Canonicalization tactics *)
let canon (e:exp) = sort (flatten e)
let canon_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp)
: Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (canon e)) =
flatten_correct eq m am e;
sort_correct eq m am (flatten e);
EQ?.transitivity eq (mdenote eq m am e)
(xsdenote eq m am (flatten e))
(xsdenote eq m am (sort (flatten e)))
let monoid_reflect_orig (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e1 e2:exp)
: Lemma (requires (xsdenote eq m am (canon e1) `EQ?.eq eq` xsdenote eq m am (canon e2)))
(ensures (mdenote eq m am e1 `EQ?.eq eq` mdenote eq m am e2)) =
canon_correct eq m am e1;
canon_correct eq m am e2;
EQ?.symmetry eq (mdenote eq m am e2) (xsdenote eq m am (canon e2));
EQ?.transitivity eq (mdenote eq m am e1)
(xsdenote eq m am (canon e1))
(xsdenote eq m am (canon e2));
EQ?.transitivity eq (mdenote eq m am e1)
(xsdenote eq m am (canon e2))
(mdenote eq m am e2)
let monoid_reflect (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e1 e2:exp)
(_ : squash (xsdenote eq m am (canon e1) `EQ?.eq eq` xsdenote eq m am (canon e2)))
: squash (mdenote eq m am e1 `EQ?.eq eq` mdenote eq m am e2) =
monoid_reflect_orig #a eq m am e1 e2
(* Finds the position of first occurrence of x in xs.
This is now specialized to terms and their funny term_eq. *)
let rec where_aux (n:nat) (x:term) (xs:list term) :
Tac (option nat) =
match xs with
| [] -> None
| x'::xs' -> if term_eq x x' then Some n else where_aux (n+1) x xs'
let where = where_aux 0
let fatom (t:term) (ts:list term) (am:amap term) : Tac (exp * list term * amap term) =
match where t ts with
| Some v -> (Atom v, ts, am)
| None ->
let vfresh = length ts in
let t = norm_term [iota; zeta] t in
(Atom vfresh, ts @ [t], update vfresh t am)
// This expects that mult, unit, and t have already been normalized
let rec reification_aux (ts:list term) (am:amap term)
(mult unit t : term) : Tac (exp * list term * amap term) =
let hd, tl = collect_app t in
match inspect hd, tl with
| Tv_FVar fv, [(t1, Q_Explicit) ; (t2, Q_Explicit)] ->
if term_eq (pack (Tv_FVar fv)) mult
then (let (e1, ts, am) = reification_aux ts am mult unit t1 in
let (e2, ts, am) = reification_aux ts am mult unit t2 in
(Mult e1 e2, ts, am))
else fatom t ts am
| _, _ ->
if term_eq t unit
then (Unit, ts, am)
else fatom t ts am
let reification (eq: term) (m: term) (ts:list term) (am:amap term) (t:term) :
Tac (exp * list term * amap term) =
let mult = norm_term [iota; zeta; delta] (`CM?.mult (`#m)) in
let unit = norm_term [iota; zeta; delta] (`CM?.unit (`#m)) in
let t = norm_term [iota; zeta] t in
reification_aux ts am mult unit t
let rec repeat_cong_right_identity (eq: term) (m: term) : Tac unit =
or_else (fun _ -> apply_lemma (`right_identity))
(fun _ -> apply_lemma (`CM?.congruence (`#m));
split ();
apply_lemma (`EQ?.reflexivity (`#eq));
repeat_cong_right_identity eq m
)
let rec convert_map (m : list (atom * term)) : term =
match m with
| [] -> `[]
| (a, t)::ps ->
let a = pack (Tv_Const (C_Int a)) in
(* let t = norm_term [delta] t in *)
`((`#a, (`#t)) :: (`#(convert_map ps)))
(* `am` is an amap (basically a list) of terms, each representing a value
of type `a` (whichever we are canonicalizing). This functions converts | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Tactics.CanonCommSwaps.fst.checked",
"FStar.Tactics.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.Properties.fst.checked",
"FStar.List.Tot.Base.fst.checked",
"FStar.List.Tot.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Algebra.CommMonoid.Equiv.fst.checked"
],
"interface_file": false,
"source_file": "FStar.Tactics.CanonCommMonoidSimple.Equiv.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommSwaps",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Classical",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Algebra.CommMonoid.Equiv",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"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 | am: FStar.Tactics.CanonCommMonoidSimple.Equiv.amap FStar.Tactics.NamedView.term
-> FStar.Tactics.NamedView.term | Prims.Tot | [
"total"
] | [] | [
"FStar.Tactics.CanonCommMonoidSimple.Equiv.amap",
"FStar.Tactics.NamedView.term",
"Prims.list",
"FStar.Pervasives.Native.tuple2",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.atom",
"FStar.Stubs.Reflection.Types.term",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.convert_map"
] | [] | false | false | false | true | false | let convert_am (am: amap term) : term =
| let map, def = am in
`(((`#(convert_map map)), (`#def))) | false |
FStar.Tactics.CanonCommMonoidSimple.Equiv.fst | FStar.Tactics.CanonCommMonoidSimple.Equiv.flatten | val flatten (e: exp) : list atom | val flatten (e: exp) : list atom | let rec flatten (e:exp) : list atom =
match e with
| Unit -> []
| Atom x -> [x]
| Mult e1 e2 -> flatten e1 @ flatten e2 | {
"file_name": "ulib/FStar.Tactics.CanonCommMonoidSimple.Equiv.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 41,
"end_line": 88,
"start_col": 0,
"start_line": 84
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Tactics.CanonCommMonoidSimple.Equiv
open FStar.Algebra.CommMonoid.Equiv
open FStar.List
open FStar.Classical
open FStar.Tactics.CanonCommSwaps
open FStar.Tactics.V2
let term_eq = FStar.Tactics.term_eq_old
(* A simple expression canonizer for commutative monoids (working up to
some given equivalence relation as opposed to just propositional equality).
For a canonizer with more features see FStar.Tactics.CanonCommMonoid.fst.
Based on FStar.Tactics.CanonCommMonoidSimple.fst
*)
(* Only dump when debugging is on *)
//let dump m = if debugging () then dump m
(***** Expression syntax *)
// GM: ugh, we had `nat`, but then we get bitten by lack
// of subtyping over datatypes when we typecheck the amap term
// we generate (see convert_am).
let atom : eqtype = int
type exp : Type =
| Unit : exp
| Mult : exp -> exp -> exp
| Atom : atom -> exp
let rec exp_to_string (e:exp) : string =
match e with
| Unit -> "Unit"
| Atom x -> "Atom " ^ string_of_int (x <: atom)
| Mult e1 e2 -> "Mult (" ^ exp_to_string e1
^ ") (" ^ exp_to_string e2 ^ ")"
(***** Expression denotation *)
// Use a map that stores for each atom
// (1) its denotation that should be treated abstractly (type a) and
// (2) user-specified extra information depending on its term (type b)
let amap (a:Type) = list (atom * a) * a
let const (#a:Type) (xa:a) : amap a = ([], xa)
let select (#a:Type) (x:atom) (am:amap a) : Tot a =
match assoc #atom #a x (fst am) with
| Some a -> a
| _ -> snd am
let update (#a:Type) (x:atom) (xa:a) (am:amap a) : amap a =
(x, xa)::fst am, snd am
let rec mdenote (#a:Type u#aa) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : a =
match e with
| Unit -> CM?.unit m
| Atom x -> select x am
| Mult e1 e2 -> CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2)
let rec xsdenote (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) : a =
match xs with
| [] -> CM?.unit m
| [x] -> select x am
| x::xs' -> CM?.mult m (select x am) (xsdenote eq m am xs')
(***** Flattening expressions to lists of atoms *) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Tactics.CanonCommSwaps.fst.checked",
"FStar.Tactics.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.Properties.fst.checked",
"FStar.List.Tot.Base.fst.checked",
"FStar.List.Tot.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Algebra.CommMonoid.Equiv.fst.checked"
],
"interface_file": false,
"source_file": "FStar.Tactics.CanonCommMonoidSimple.Equiv.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommSwaps",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Classical",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Algebra.CommMonoid.Equiv",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"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 | e: FStar.Tactics.CanonCommMonoidSimple.Equiv.exp
-> Prims.list FStar.Tactics.CanonCommMonoidSimple.Equiv.atom | Prims.Tot | [
"total"
] | [] | [
"FStar.Tactics.CanonCommMonoidSimple.Equiv.exp",
"Prims.Nil",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.atom",
"Prims.Cons",
"FStar.List.Tot.Base.op_At",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.flatten",
"Prims.list"
] | [
"recursion"
] | false | false | false | true | false | let rec flatten (e: exp) : list atom =
| match e with
| Unit -> []
| Atom x -> [x]
| Mult e1 e2 -> flatten e1 @ flatten e2 | false |
FStar.Tactics.CanonCommMonoidSimple.Equiv.fst | FStar.Tactics.CanonCommMonoidSimple.Equiv.apply_swap_correct | val apply_swap_correct
(#a: Type)
(eq: equiv a)
(m: cm a eq)
(am: amap a)
(xs: list atom)
(s: swap (length xs))
: Lemma (ensures (EQ?.eq eq (xsdenote eq m am xs) (xsdenote eq m am (apply_swap xs s))))
(decreases xs) | val apply_swap_correct
(#a: Type)
(eq: equiv a)
(m: cm a eq)
(am: amap a)
(xs: list atom)
(s: swap (length xs))
: Lemma (ensures (EQ?.eq eq (xsdenote eq m am xs) (xsdenote eq m am (apply_swap xs s))))
(decreases xs) | let apply_swap_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (s:swap (length xs))
: Lemma (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap xs s)))
(decreases xs) =
apply_swap_aux_correct 0 eq m am xs s | {
"file_name": "ulib/FStar.Tactics.CanonCommMonoidSimple.Equiv.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 39,
"end_line": 186,
"start_col": 0,
"start_line": 182
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Tactics.CanonCommMonoidSimple.Equiv
open FStar.Algebra.CommMonoid.Equiv
open FStar.List
open FStar.Classical
open FStar.Tactics.CanonCommSwaps
open FStar.Tactics.V2
let term_eq = FStar.Tactics.term_eq_old
(* A simple expression canonizer for commutative monoids (working up to
some given equivalence relation as opposed to just propositional equality).
For a canonizer with more features see FStar.Tactics.CanonCommMonoid.fst.
Based on FStar.Tactics.CanonCommMonoidSimple.fst
*)
(* Only dump when debugging is on *)
//let dump m = if debugging () then dump m
(***** Expression syntax *)
// GM: ugh, we had `nat`, but then we get bitten by lack
// of subtyping over datatypes when we typecheck the amap term
// we generate (see convert_am).
let atom : eqtype = int
type exp : Type =
| Unit : exp
| Mult : exp -> exp -> exp
| Atom : atom -> exp
let rec exp_to_string (e:exp) : string =
match e with
| Unit -> "Unit"
| Atom x -> "Atom " ^ string_of_int (x <: atom)
| Mult e1 e2 -> "Mult (" ^ exp_to_string e1
^ ") (" ^ exp_to_string e2 ^ ")"
(***** Expression denotation *)
// Use a map that stores for each atom
// (1) its denotation that should be treated abstractly (type a) and
// (2) user-specified extra information depending on its term (type b)
let amap (a:Type) = list (atom * a) * a
let const (#a:Type) (xa:a) : amap a = ([], xa)
let select (#a:Type) (x:atom) (am:amap a) : Tot a =
match assoc #atom #a x (fst am) with
| Some a -> a
| _ -> snd am
let update (#a:Type) (x:atom) (xa:a) (am:amap a) : amap a =
(x, xa)::fst am, snd am
let rec mdenote (#a:Type u#aa) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : a =
match e with
| Unit -> CM?.unit m
| Atom x -> select x am
| Mult e1 e2 -> CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2)
let rec xsdenote (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) : a =
match xs with
| [] -> CM?.unit m
| [x] -> select x am
| x::xs' -> CM?.mult m (select x am) (xsdenote eq m am xs')
(***** Flattening expressions to lists of atoms *)
let rec flatten (e:exp) : list atom =
match e with
| Unit -> []
| Atom x -> [x]
| Mult e1 e2 -> flatten e1 @ flatten e2
let rec flatten_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs1 xs2:list atom)
: Lemma (xsdenote eq m am (xs1 @ xs2) `EQ?.eq eq` CM?.mult m (xsdenote eq m am xs1)
(xsdenote eq m am xs2)) =
match xs1 with
| [] ->
CM?.identity m (xsdenote eq m am xs2);
EQ?.symmetry eq (CM?.mult m (CM?.unit m) (xsdenote eq m am xs2)) (xsdenote eq m am xs2)
| [x] -> (
if (Nil? xs2)
then (right_identity eq m (select x am);
EQ?.symmetry eq (CM?.mult m (select x am) (CM?.unit m)) (select x am))
else EQ?.reflexivity eq (CM?.mult m (xsdenote eq m am [x]) (xsdenote eq m am xs2)))
| x::xs1' ->
flatten_correct_aux eq m am xs1' xs2;
EQ?.reflexivity eq (select x am);
CM?.congruence m (select x am) (xsdenote eq m am (xs1' @ xs2))
(select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2));
CM?.associativity m (select x am) (xsdenote eq m am xs1') (xsdenote eq m am xs2);
EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2))
(CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)));
EQ?.transitivity eq (CM?.mult m (select x am) (xsdenote eq m am (xs1' @ xs2)))
(CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)))
(CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2))
let rec flatten_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp)
: Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (flatten e)) =
match e with
| Unit -> EQ?.reflexivity eq (CM?.unit m)
| Atom x -> EQ?.reflexivity eq (select x am)
| Mult e1 e2 ->
flatten_correct_aux eq m am (flatten e1) (flatten e2);
EQ?.symmetry eq (xsdenote eq m am (flatten e1 @ flatten e2))
(CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)));
flatten_correct eq m am e1;
flatten_correct eq m am e2;
CM?.congruence m (mdenote eq m am e1) (mdenote eq m am e2)
(xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2));
EQ?.transitivity eq (CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2))
(CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)))
(xsdenote eq m am (flatten e1 @ flatten e2))
(***** Permuting the lists of atoms
by swapping adjacent elements *)
let permute = list atom -> list atom
// high-level correctness criterion for permutations
let permute_correct (p:permute) =
#a:Type -> eq:equiv a -> m:cm a eq -> am:amap a -> xs:list atom ->
Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs))
// sufficient condition:
// permutation has to be expressible as swaps of adjacent list elements
// In the general case, an arbitrary permutation can be done via swaps.
// (see FStar.Tactics.CanonCommSwaps for a proof)
let rec apply_swap_aux_correct (#a:Type) (n:nat) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (s:swap (length xs + n))
: Lemma (requires True)
(ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap_aux n xs s)))
(decreases xs) =
match xs with
| [] -> EQ?.reflexivity eq (CM?.unit m)
| [x] -> EQ?.reflexivity eq (select x am)
| [x1;x2] ->
if n = (s <: nat)
then CM?.commutativity m (select x1 am) (select x2 am)
else EQ?.reflexivity eq (xsdenote eq m am [x1;x2])
| x1 :: x2 :: xs' ->
if n = (s <: nat)
then (
CM?.associativity m (select x1 am) (select x2 am) (xsdenote eq m am xs');
EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs'))
(CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')));
CM?.commutativity m (select x1 am) (select x2 am);
EQ?.reflexivity eq (xsdenote eq m am xs');
CM?.congruence m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs')
(CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs');
CM?.associativity m (select x2 am) (select x1 am) (xsdenote eq m am xs');
EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')))
(CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs'))
(CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'));
EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')))
(CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'))
(CM?.mult m (select x2 am) (CM?.mult m (select x1 am) (xsdenote eq m am xs'))))
else (
apply_swap_aux_correct (n+1) eq m am (x2 :: xs') s;
EQ?.reflexivity eq (select x1 am);
CM?.congruence m (select x1 am) (xsdenote eq m am (x2 :: xs'))
(select x1 am) (xsdenote eq m am (apply_swap_aux (n+1) (x2 :: xs') s))) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Tactics.CanonCommSwaps.fst.checked",
"FStar.Tactics.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.Properties.fst.checked",
"FStar.List.Tot.Base.fst.checked",
"FStar.List.Tot.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Algebra.CommMonoid.Equiv.fst.checked"
],
"interface_file": false,
"source_file": "FStar.Tactics.CanonCommMonoidSimple.Equiv.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommSwaps",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Classical",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Algebra.CommMonoid.Equiv",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"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 |
eq: FStar.Algebra.CommMonoid.Equiv.equiv a ->
m: FStar.Algebra.CommMonoid.Equiv.cm a eq ->
am: FStar.Tactics.CanonCommMonoidSimple.Equiv.amap a ->
xs: Prims.list FStar.Tactics.CanonCommMonoidSimple.Equiv.atom ->
s: FStar.Tactics.CanonCommSwaps.swap (FStar.List.Tot.Base.length xs)
-> FStar.Pervasives.Lemma
(ensures
EQ?.eq eq
(FStar.Tactics.CanonCommMonoidSimple.Equiv.xsdenote eq m am xs)
(FStar.Tactics.CanonCommMonoidSimple.Equiv.xsdenote eq
m
am
(FStar.Tactics.CanonCommSwaps.apply_swap xs s))) (decreases xs) | FStar.Pervasives.Lemma | [
"lemma",
""
] | [] | [
"FStar.Algebra.CommMonoid.Equiv.equiv",
"FStar.Algebra.CommMonoid.Equiv.cm",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.amap",
"Prims.list",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.atom",
"FStar.Tactics.CanonCommSwaps.swap",
"FStar.List.Tot.Base.length",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.apply_swap_aux_correct",
"Prims.unit",
"Prims.l_True",
"Prims.squash",
"FStar.Algebra.CommMonoid.Equiv.__proj__EQ__item__eq",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.xsdenote",
"FStar.Tactics.CanonCommSwaps.apply_swap",
"Prims.Nil",
"FStar.Pervasives.pattern"
] | [] | true | false | true | false | false | let apply_swap_correct
(#a: Type)
(eq: equiv a)
(m: cm a eq)
(am: amap a)
(xs: list atom)
(s: swap (length xs))
: Lemma (ensures (EQ?.eq eq (xsdenote eq m am xs) (xsdenote eq m am (apply_swap xs s))))
(decreases xs) =
| apply_swap_aux_correct 0 eq m am xs s | false |
FStar.Tactics.CanonCommMonoidSimple.Equiv.fst | FStar.Tactics.CanonCommMonoidSimple.Equiv.mdenote | val mdenote (#a: Type u#aa) (eq: equiv a) (m: cm a eq) (am: amap a) (e: exp) : a | val mdenote (#a: Type u#aa) (eq: equiv a) (m: cm a eq) (am: amap a) (e: exp) : a | let rec mdenote (#a:Type u#aa) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : a =
match e with
| Unit -> CM?.unit m
| Atom x -> select x am
| Mult e1 e2 -> CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2) | {
"file_name": "ulib/FStar.Tactics.CanonCommMonoidSimple.Equiv.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 70,
"end_line": 74,
"start_col": 0,
"start_line": 70
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Tactics.CanonCommMonoidSimple.Equiv
open FStar.Algebra.CommMonoid.Equiv
open FStar.List
open FStar.Classical
open FStar.Tactics.CanonCommSwaps
open FStar.Tactics.V2
let term_eq = FStar.Tactics.term_eq_old
(* A simple expression canonizer for commutative monoids (working up to
some given equivalence relation as opposed to just propositional equality).
For a canonizer with more features see FStar.Tactics.CanonCommMonoid.fst.
Based on FStar.Tactics.CanonCommMonoidSimple.fst
*)
(* Only dump when debugging is on *)
//let dump m = if debugging () then dump m
(***** Expression syntax *)
// GM: ugh, we had `nat`, but then we get bitten by lack
// of subtyping over datatypes when we typecheck the amap term
// we generate (see convert_am).
let atom : eqtype = int
type exp : Type =
| Unit : exp
| Mult : exp -> exp -> exp
| Atom : atom -> exp
let rec exp_to_string (e:exp) : string =
match e with
| Unit -> "Unit"
| Atom x -> "Atom " ^ string_of_int (x <: atom)
| Mult e1 e2 -> "Mult (" ^ exp_to_string e1
^ ") (" ^ exp_to_string e2 ^ ")"
(***** Expression denotation *)
// Use a map that stores for each atom
// (1) its denotation that should be treated abstractly (type a) and
// (2) user-specified extra information depending on its term (type b)
let amap (a:Type) = list (atom * a) * a
let const (#a:Type) (xa:a) : amap a = ([], xa)
let select (#a:Type) (x:atom) (am:amap a) : Tot a =
match assoc #atom #a x (fst am) with
| Some a -> a
| _ -> snd am
let update (#a:Type) (x:atom) (xa:a) (am:amap a) : amap a =
(x, xa)::fst am, snd am | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Tactics.CanonCommSwaps.fst.checked",
"FStar.Tactics.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.Properties.fst.checked",
"FStar.List.Tot.Base.fst.checked",
"FStar.List.Tot.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Algebra.CommMonoid.Equiv.fst.checked"
],
"interface_file": false,
"source_file": "FStar.Tactics.CanonCommMonoidSimple.Equiv.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommSwaps",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Classical",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Algebra.CommMonoid.Equiv",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"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 |
eq: FStar.Algebra.CommMonoid.Equiv.equiv a ->
m: FStar.Algebra.CommMonoid.Equiv.cm a eq ->
am: FStar.Tactics.CanonCommMonoidSimple.Equiv.amap a ->
e: FStar.Tactics.CanonCommMonoidSimple.Equiv.exp
-> a | Prims.Tot | [
"total"
] | [] | [
"FStar.Algebra.CommMonoid.Equiv.equiv",
"FStar.Algebra.CommMonoid.Equiv.cm",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.amap",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.exp",
"FStar.Algebra.CommMonoid.Equiv.__proj__CM__item__unit",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.atom",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.select",
"FStar.Algebra.CommMonoid.Equiv.__proj__CM__item__mult",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.mdenote"
] | [
"recursion"
] | false | false | false | false | false | let rec mdenote (#a: Type u#aa) (eq: equiv a) (m: cm a eq) (am: amap a) (e: exp) : a =
| match e with
| Unit -> CM?.unit m
| Atom x -> select x am
| Mult e1 e2 -> CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2) | false |
FStar.Tactics.CanonCommMonoidSimple.Equiv.fst | FStar.Tactics.CanonCommMonoidSimple.Equiv.flatten_correct | val flatten_correct (#a: Type) (eq: equiv a) (m: cm a eq) (am: amap a) (e: exp)
: Lemma (EQ?.eq eq (mdenote eq m am e) (xsdenote eq m am (flatten e))) | val flatten_correct (#a: Type) (eq: equiv a) (m: cm a eq) (am: amap a) (e: exp)
: Lemma (EQ?.eq eq (mdenote eq m am e) (xsdenote eq m am (flatten e))) | let rec flatten_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp)
: Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (flatten e)) =
match e with
| Unit -> EQ?.reflexivity eq (CM?.unit m)
| Atom x -> EQ?.reflexivity eq (select x am)
| Mult e1 e2 ->
flatten_correct_aux eq m am (flatten e1) (flatten e2);
EQ?.symmetry eq (xsdenote eq m am (flatten e1 @ flatten e2))
(CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)));
flatten_correct eq m am e1;
flatten_correct eq m am e2;
CM?.congruence m (mdenote eq m am e1) (mdenote eq m am e2)
(xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2));
EQ?.transitivity eq (CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2))
(CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)))
(xsdenote eq m am (flatten e1 @ flatten e2)) | {
"file_name": "ulib/FStar.Tactics.CanonCommMonoidSimple.Equiv.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 70,
"end_line": 129,
"start_col": 0,
"start_line": 114
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Tactics.CanonCommMonoidSimple.Equiv
open FStar.Algebra.CommMonoid.Equiv
open FStar.List
open FStar.Classical
open FStar.Tactics.CanonCommSwaps
open FStar.Tactics.V2
let term_eq = FStar.Tactics.term_eq_old
(* A simple expression canonizer for commutative monoids (working up to
some given equivalence relation as opposed to just propositional equality).
For a canonizer with more features see FStar.Tactics.CanonCommMonoid.fst.
Based on FStar.Tactics.CanonCommMonoidSimple.fst
*)
(* Only dump when debugging is on *)
//let dump m = if debugging () then dump m
(***** Expression syntax *)
// GM: ugh, we had `nat`, but then we get bitten by lack
// of subtyping over datatypes when we typecheck the amap term
// we generate (see convert_am).
let atom : eqtype = int
type exp : Type =
| Unit : exp
| Mult : exp -> exp -> exp
| Atom : atom -> exp
let rec exp_to_string (e:exp) : string =
match e with
| Unit -> "Unit"
| Atom x -> "Atom " ^ string_of_int (x <: atom)
| Mult e1 e2 -> "Mult (" ^ exp_to_string e1
^ ") (" ^ exp_to_string e2 ^ ")"
(***** Expression denotation *)
// Use a map that stores for each atom
// (1) its denotation that should be treated abstractly (type a) and
// (2) user-specified extra information depending on its term (type b)
let amap (a:Type) = list (atom * a) * a
let const (#a:Type) (xa:a) : amap a = ([], xa)
let select (#a:Type) (x:atom) (am:amap a) : Tot a =
match assoc #atom #a x (fst am) with
| Some a -> a
| _ -> snd am
let update (#a:Type) (x:atom) (xa:a) (am:amap a) : amap a =
(x, xa)::fst am, snd am
let rec mdenote (#a:Type u#aa) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : a =
match e with
| Unit -> CM?.unit m
| Atom x -> select x am
| Mult e1 e2 -> CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2)
let rec xsdenote (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) : a =
match xs with
| [] -> CM?.unit m
| [x] -> select x am
| x::xs' -> CM?.mult m (select x am) (xsdenote eq m am xs')
(***** Flattening expressions to lists of atoms *)
let rec flatten (e:exp) : list atom =
match e with
| Unit -> []
| Atom x -> [x]
| Mult e1 e2 -> flatten e1 @ flatten e2
let rec flatten_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs1 xs2:list atom)
: Lemma (xsdenote eq m am (xs1 @ xs2) `EQ?.eq eq` CM?.mult m (xsdenote eq m am xs1)
(xsdenote eq m am xs2)) =
match xs1 with
| [] ->
CM?.identity m (xsdenote eq m am xs2);
EQ?.symmetry eq (CM?.mult m (CM?.unit m) (xsdenote eq m am xs2)) (xsdenote eq m am xs2)
| [x] -> (
if (Nil? xs2)
then (right_identity eq m (select x am);
EQ?.symmetry eq (CM?.mult m (select x am) (CM?.unit m)) (select x am))
else EQ?.reflexivity eq (CM?.mult m (xsdenote eq m am [x]) (xsdenote eq m am xs2)))
| x::xs1' ->
flatten_correct_aux eq m am xs1' xs2;
EQ?.reflexivity eq (select x am);
CM?.congruence m (select x am) (xsdenote eq m am (xs1' @ xs2))
(select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2));
CM?.associativity m (select x am) (xsdenote eq m am xs1') (xsdenote eq m am xs2);
EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2))
(CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)));
EQ?.transitivity eq (CM?.mult m (select x am) (xsdenote eq m am (xs1' @ xs2)))
(CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)))
(CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2)) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Tactics.CanonCommSwaps.fst.checked",
"FStar.Tactics.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.Properties.fst.checked",
"FStar.List.Tot.Base.fst.checked",
"FStar.List.Tot.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Algebra.CommMonoid.Equiv.fst.checked"
],
"interface_file": false,
"source_file": "FStar.Tactics.CanonCommMonoidSimple.Equiv.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommSwaps",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Classical",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Algebra.CommMonoid.Equiv",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"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 |
eq: FStar.Algebra.CommMonoid.Equiv.equiv a ->
m: FStar.Algebra.CommMonoid.Equiv.cm a eq ->
am: FStar.Tactics.CanonCommMonoidSimple.Equiv.amap a ->
e: FStar.Tactics.CanonCommMonoidSimple.Equiv.exp
-> FStar.Pervasives.Lemma
(ensures
EQ?.eq eq
(FStar.Tactics.CanonCommMonoidSimple.Equiv.mdenote eq m am e)
(FStar.Tactics.CanonCommMonoidSimple.Equiv.xsdenote eq
m
am
(FStar.Tactics.CanonCommMonoidSimple.Equiv.flatten e))) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"FStar.Algebra.CommMonoid.Equiv.equiv",
"FStar.Algebra.CommMonoid.Equiv.cm",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.amap",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.exp",
"FStar.Algebra.CommMonoid.Equiv.__proj__EQ__item__reflexivity",
"FStar.Algebra.CommMonoid.Equiv.__proj__CM__item__unit",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.atom",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.select",
"FStar.Algebra.CommMonoid.Equiv.__proj__EQ__item__transitivity",
"FStar.Algebra.CommMonoid.Equiv.__proj__CM__item__mult",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.mdenote",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.xsdenote",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.flatten",
"FStar.List.Tot.Base.op_At",
"Prims.unit",
"FStar.Algebra.CommMonoid.Equiv.__proj__CM__item__congruence",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.flatten_correct",
"FStar.Algebra.CommMonoid.Equiv.__proj__EQ__item__symmetry",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.flatten_correct_aux",
"Prims.l_True",
"Prims.squash",
"FStar.Algebra.CommMonoid.Equiv.__proj__EQ__item__eq",
"Prims.Nil",
"FStar.Pervasives.pattern"
] | [
"recursion"
] | false | false | true | false | false | let rec flatten_correct (#a: Type) (eq: equiv a) (m: cm a eq) (am: amap a) (e: exp)
: Lemma (EQ?.eq eq (mdenote eq m am e) (xsdenote eq m am (flatten e))) =
| match e with
| Unit -> EQ?.reflexivity eq (CM?.unit m)
| Atom x -> EQ?.reflexivity eq (select x am)
| Mult e1 e2 ->
flatten_correct_aux eq m am (flatten e1) (flatten e2);
EQ?.symmetry eq
(xsdenote eq m am (flatten e1 @ flatten e2))
(CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)));
flatten_correct eq m am e1;
flatten_correct eq m am e2;
CM?.congruence m
(mdenote eq m am e1)
(mdenote eq m am e2)
(xsdenote eq m am (flatten e1))
(xsdenote eq m am (flatten e2));
EQ?.transitivity eq
(CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2))
(CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)))
(xsdenote eq m am (flatten e1 @ flatten e2)) | false |
FStar.Tactics.CanonCommMonoidSimple.Equiv.fst | FStar.Tactics.CanonCommMonoidSimple.Equiv.sort_via_swaps | val sort_via_swaps (#a: Type) (am: amap a) (xs: list atom)
: Lemma (exists (ss: swaps_for xs). sort xs == apply_swaps xs ss) | val sort_via_swaps (#a: Type) (am: amap a) (xs: list atom)
: Lemma (exists (ss: swaps_for xs). sort xs == apply_swaps xs ss) | let sort_via_swaps (#a:Type) (am:amap a) (xs:list atom)
: Lemma (exists (ss:swaps_for xs). sort xs == apply_swaps xs ss)
= List.Tot.Properties.sortWith_permutation #int (compare_of_bool (<)) xs;
let ss = equal_counts_implies_swaps xs (sort xs) in
() | {
"file_name": "ulib/FStar.Tactics.CanonCommMonoidSimple.Equiv.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 6,
"end_line": 230,
"start_col": 0,
"start_line": 226
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Tactics.CanonCommMonoidSimple.Equiv
open FStar.Algebra.CommMonoid.Equiv
open FStar.List
open FStar.Classical
open FStar.Tactics.CanonCommSwaps
open FStar.Tactics.V2
let term_eq = FStar.Tactics.term_eq_old
(* A simple expression canonizer for commutative monoids (working up to
some given equivalence relation as opposed to just propositional equality).
For a canonizer with more features see FStar.Tactics.CanonCommMonoid.fst.
Based on FStar.Tactics.CanonCommMonoidSimple.fst
*)
(* Only dump when debugging is on *)
//let dump m = if debugging () then dump m
(***** Expression syntax *)
// GM: ugh, we had `nat`, but then we get bitten by lack
// of subtyping over datatypes when we typecheck the amap term
// we generate (see convert_am).
let atom : eqtype = int
type exp : Type =
| Unit : exp
| Mult : exp -> exp -> exp
| Atom : atom -> exp
let rec exp_to_string (e:exp) : string =
match e with
| Unit -> "Unit"
| Atom x -> "Atom " ^ string_of_int (x <: atom)
| Mult e1 e2 -> "Mult (" ^ exp_to_string e1
^ ") (" ^ exp_to_string e2 ^ ")"
(***** Expression denotation *)
// Use a map that stores for each atom
// (1) its denotation that should be treated abstractly (type a) and
// (2) user-specified extra information depending on its term (type b)
let amap (a:Type) = list (atom * a) * a
let const (#a:Type) (xa:a) : amap a = ([], xa)
let select (#a:Type) (x:atom) (am:amap a) : Tot a =
match assoc #atom #a x (fst am) with
| Some a -> a
| _ -> snd am
let update (#a:Type) (x:atom) (xa:a) (am:amap a) : amap a =
(x, xa)::fst am, snd am
let rec mdenote (#a:Type u#aa) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : a =
match e with
| Unit -> CM?.unit m
| Atom x -> select x am
| Mult e1 e2 -> CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2)
let rec xsdenote (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) : a =
match xs with
| [] -> CM?.unit m
| [x] -> select x am
| x::xs' -> CM?.mult m (select x am) (xsdenote eq m am xs')
(***** Flattening expressions to lists of atoms *)
let rec flatten (e:exp) : list atom =
match e with
| Unit -> []
| Atom x -> [x]
| Mult e1 e2 -> flatten e1 @ flatten e2
let rec flatten_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs1 xs2:list atom)
: Lemma (xsdenote eq m am (xs1 @ xs2) `EQ?.eq eq` CM?.mult m (xsdenote eq m am xs1)
(xsdenote eq m am xs2)) =
match xs1 with
| [] ->
CM?.identity m (xsdenote eq m am xs2);
EQ?.symmetry eq (CM?.mult m (CM?.unit m) (xsdenote eq m am xs2)) (xsdenote eq m am xs2)
| [x] -> (
if (Nil? xs2)
then (right_identity eq m (select x am);
EQ?.symmetry eq (CM?.mult m (select x am) (CM?.unit m)) (select x am))
else EQ?.reflexivity eq (CM?.mult m (xsdenote eq m am [x]) (xsdenote eq m am xs2)))
| x::xs1' ->
flatten_correct_aux eq m am xs1' xs2;
EQ?.reflexivity eq (select x am);
CM?.congruence m (select x am) (xsdenote eq m am (xs1' @ xs2))
(select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2));
CM?.associativity m (select x am) (xsdenote eq m am xs1') (xsdenote eq m am xs2);
EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2))
(CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)));
EQ?.transitivity eq (CM?.mult m (select x am) (xsdenote eq m am (xs1' @ xs2)))
(CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)))
(CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2))
let rec flatten_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp)
: Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (flatten e)) =
match e with
| Unit -> EQ?.reflexivity eq (CM?.unit m)
| Atom x -> EQ?.reflexivity eq (select x am)
| Mult e1 e2 ->
flatten_correct_aux eq m am (flatten e1) (flatten e2);
EQ?.symmetry eq (xsdenote eq m am (flatten e1 @ flatten e2))
(CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)));
flatten_correct eq m am e1;
flatten_correct eq m am e2;
CM?.congruence m (mdenote eq m am e1) (mdenote eq m am e2)
(xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2));
EQ?.transitivity eq (CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2))
(CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)))
(xsdenote eq m am (flatten e1 @ flatten e2))
(***** Permuting the lists of atoms
by swapping adjacent elements *)
let permute = list atom -> list atom
// high-level correctness criterion for permutations
let permute_correct (p:permute) =
#a:Type -> eq:equiv a -> m:cm a eq -> am:amap a -> xs:list atom ->
Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs))
// sufficient condition:
// permutation has to be expressible as swaps of adjacent list elements
// In the general case, an arbitrary permutation can be done via swaps.
// (see FStar.Tactics.CanonCommSwaps for a proof)
let rec apply_swap_aux_correct (#a:Type) (n:nat) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (s:swap (length xs + n))
: Lemma (requires True)
(ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap_aux n xs s)))
(decreases xs) =
match xs with
| [] -> EQ?.reflexivity eq (CM?.unit m)
| [x] -> EQ?.reflexivity eq (select x am)
| [x1;x2] ->
if n = (s <: nat)
then CM?.commutativity m (select x1 am) (select x2 am)
else EQ?.reflexivity eq (xsdenote eq m am [x1;x2])
| x1 :: x2 :: xs' ->
if n = (s <: nat)
then (
CM?.associativity m (select x1 am) (select x2 am) (xsdenote eq m am xs');
EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs'))
(CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')));
CM?.commutativity m (select x1 am) (select x2 am);
EQ?.reflexivity eq (xsdenote eq m am xs');
CM?.congruence m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs')
(CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs');
CM?.associativity m (select x2 am) (select x1 am) (xsdenote eq m am xs');
EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')))
(CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs'))
(CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'));
EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')))
(CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'))
(CM?.mult m (select x2 am) (CM?.mult m (select x1 am) (xsdenote eq m am xs'))))
else (
apply_swap_aux_correct (n+1) eq m am (x2 :: xs') s;
EQ?.reflexivity eq (select x1 am);
CM?.congruence m (select x1 am) (xsdenote eq m am (x2 :: xs'))
(select x1 am) (xsdenote eq m am (apply_swap_aux (n+1) (x2 :: xs') s)))
let apply_swap_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (s:swap (length xs))
: Lemma (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap xs s)))
(decreases xs) =
apply_swap_aux_correct 0 eq m am xs s
let rec apply_swaps_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (ss:list (swap (length xs)))
: Lemma (requires True)
(ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swaps xs ss)))
(decreases ss) =
match ss with
| [] -> EQ?.reflexivity eq (xsdenote eq m am xs)
| s::ss' ->
apply_swap_correct eq m am xs s;
apply_swaps_correct eq m am (apply_swap xs s) ss';
EQ?.transitivity eq (xsdenote eq m am xs)
(xsdenote eq m am (apply_swap xs s))
(xsdenote eq m am (apply_swaps (apply_swap xs s) ss'))
let permute_via_swaps (p:permute) =
(#a:Type) -> (am:amap a) -> xs:list atom ->
Lemma (exists (ss:swaps_for xs). p xs == apply_swaps xs ss)
let permute_via_swaps_correct_aux (p:permute) (pvs:permute_via_swaps p)
(#a:Type) (eq:equiv a)(m:cm a eq) (am:amap a) (xs:list atom)
: Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs)) =
pvs am xs;
assert(exists (ss:swaps_for xs). p xs == apply_swaps xs ss);
exists_elim (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs))
(() <: squash (exists (ss:swaps_for xs). p xs == apply_swaps xs ss))
(fun ss -> apply_swaps_correct eq m am xs ss)
let permute_via_swaps_correct
(p:permute) (pvs:permute_via_swaps p) : permute_correct p =
fun #a -> permute_via_swaps_correct_aux p pvs #a
(***** Sorting atoms is a correct permutation
(since it can be done by swaps) *)
// Here we sort the variable numbers
let sort : permute = List.Tot.Base.sortWith #int (compare_of_bool (<)) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Tactics.CanonCommSwaps.fst.checked",
"FStar.Tactics.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.Properties.fst.checked",
"FStar.List.Tot.Base.fst.checked",
"FStar.List.Tot.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Algebra.CommMonoid.Equiv.fst.checked"
],
"interface_file": false,
"source_file": "FStar.Tactics.CanonCommMonoidSimple.Equiv.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommSwaps",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Classical",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Algebra.CommMonoid.Equiv",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"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 |
am: FStar.Tactics.CanonCommMonoidSimple.Equiv.amap a ->
xs: Prims.list FStar.Tactics.CanonCommMonoidSimple.Equiv.atom
-> FStar.Pervasives.Lemma
(ensures
exists (ss: FStar.Tactics.CanonCommSwaps.swaps_for xs).
FStar.Tactics.CanonCommMonoidSimple.Equiv.sort xs ==
FStar.Tactics.CanonCommSwaps.apply_swaps xs ss) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"FStar.Tactics.CanonCommMonoidSimple.Equiv.amap",
"Prims.list",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.atom",
"FStar.Tactics.CanonCommSwaps.swap",
"FStar.List.Tot.Base.length",
"FStar.Tactics.CanonCommSwaps.equal_counts_implies_swaps",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.sort",
"Prims.unit",
"FStar.List.Tot.Properties.sortWith_permutation",
"Prims.int",
"FStar.List.Tot.Base.compare_of_bool",
"Prims.op_LessThan",
"Prims.l_True",
"Prims.squash",
"Prims.l_Exists",
"FStar.Tactics.CanonCommSwaps.swaps_for",
"Prims.eq2",
"FStar.Tactics.CanonCommSwaps.apply_swaps",
"Prims.Nil",
"FStar.Pervasives.pattern"
] | [] | true | false | true | false | false | let sort_via_swaps (#a: Type) (am: amap a) (xs: list atom)
: Lemma (exists (ss: swaps_for xs). sort xs == apply_swaps xs ss) =
| List.Tot.Properties.sortWith_permutation #int (compare_of_bool ( < )) xs;
let ss = equal_counts_implies_swaps xs (sort xs) in
() | false |
FStar.Tactics.CanonCommMonoidSimple.Equiv.fst | FStar.Tactics.CanonCommMonoidSimple.Equiv.apply_swaps_correct | val apply_swaps_correct
(#a: Type)
(eq: equiv a)
(m: cm a eq)
(am: amap a)
(xs: list atom)
(ss: list (swap (length xs)))
: Lemma (requires True)
(ensures (EQ?.eq eq (xsdenote eq m am xs) (xsdenote eq m am (apply_swaps xs ss))))
(decreases ss) | val apply_swaps_correct
(#a: Type)
(eq: equiv a)
(m: cm a eq)
(am: amap a)
(xs: list atom)
(ss: list (swap (length xs)))
: Lemma (requires True)
(ensures (EQ?.eq eq (xsdenote eq m am xs) (xsdenote eq m am (apply_swaps xs ss))))
(decreases ss) | let rec apply_swaps_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (ss:list (swap (length xs)))
: Lemma (requires True)
(ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swaps xs ss)))
(decreases ss) =
match ss with
| [] -> EQ?.reflexivity eq (xsdenote eq m am xs)
| s::ss' ->
apply_swap_correct eq m am xs s;
apply_swaps_correct eq m am (apply_swap xs s) ss';
EQ?.transitivity eq (xsdenote eq m am xs)
(xsdenote eq m am (apply_swap xs s))
(xsdenote eq m am (apply_swaps (apply_swap xs s) ss')) | {
"file_name": "ulib/FStar.Tactics.CanonCommMonoidSimple.Equiv.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 80,
"end_line": 200,
"start_col": 0,
"start_line": 188
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Tactics.CanonCommMonoidSimple.Equiv
open FStar.Algebra.CommMonoid.Equiv
open FStar.List
open FStar.Classical
open FStar.Tactics.CanonCommSwaps
open FStar.Tactics.V2
let term_eq = FStar.Tactics.term_eq_old
(* A simple expression canonizer for commutative monoids (working up to
some given equivalence relation as opposed to just propositional equality).
For a canonizer with more features see FStar.Tactics.CanonCommMonoid.fst.
Based on FStar.Tactics.CanonCommMonoidSimple.fst
*)
(* Only dump when debugging is on *)
//let dump m = if debugging () then dump m
(***** Expression syntax *)
// GM: ugh, we had `nat`, but then we get bitten by lack
// of subtyping over datatypes when we typecheck the amap term
// we generate (see convert_am).
let atom : eqtype = int
type exp : Type =
| Unit : exp
| Mult : exp -> exp -> exp
| Atom : atom -> exp
let rec exp_to_string (e:exp) : string =
match e with
| Unit -> "Unit"
| Atom x -> "Atom " ^ string_of_int (x <: atom)
| Mult e1 e2 -> "Mult (" ^ exp_to_string e1
^ ") (" ^ exp_to_string e2 ^ ")"
(***** Expression denotation *)
// Use a map that stores for each atom
// (1) its denotation that should be treated abstractly (type a) and
// (2) user-specified extra information depending on its term (type b)
let amap (a:Type) = list (atom * a) * a
let const (#a:Type) (xa:a) : amap a = ([], xa)
let select (#a:Type) (x:atom) (am:amap a) : Tot a =
match assoc #atom #a x (fst am) with
| Some a -> a
| _ -> snd am
let update (#a:Type) (x:atom) (xa:a) (am:amap a) : amap a =
(x, xa)::fst am, snd am
let rec mdenote (#a:Type u#aa) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : a =
match e with
| Unit -> CM?.unit m
| Atom x -> select x am
| Mult e1 e2 -> CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2)
let rec xsdenote (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) : a =
match xs with
| [] -> CM?.unit m
| [x] -> select x am
| x::xs' -> CM?.mult m (select x am) (xsdenote eq m am xs')
(***** Flattening expressions to lists of atoms *)
let rec flatten (e:exp) : list atom =
match e with
| Unit -> []
| Atom x -> [x]
| Mult e1 e2 -> flatten e1 @ flatten e2
let rec flatten_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs1 xs2:list atom)
: Lemma (xsdenote eq m am (xs1 @ xs2) `EQ?.eq eq` CM?.mult m (xsdenote eq m am xs1)
(xsdenote eq m am xs2)) =
match xs1 with
| [] ->
CM?.identity m (xsdenote eq m am xs2);
EQ?.symmetry eq (CM?.mult m (CM?.unit m) (xsdenote eq m am xs2)) (xsdenote eq m am xs2)
| [x] -> (
if (Nil? xs2)
then (right_identity eq m (select x am);
EQ?.symmetry eq (CM?.mult m (select x am) (CM?.unit m)) (select x am))
else EQ?.reflexivity eq (CM?.mult m (xsdenote eq m am [x]) (xsdenote eq m am xs2)))
| x::xs1' ->
flatten_correct_aux eq m am xs1' xs2;
EQ?.reflexivity eq (select x am);
CM?.congruence m (select x am) (xsdenote eq m am (xs1' @ xs2))
(select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2));
CM?.associativity m (select x am) (xsdenote eq m am xs1') (xsdenote eq m am xs2);
EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2))
(CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)));
EQ?.transitivity eq (CM?.mult m (select x am) (xsdenote eq m am (xs1' @ xs2)))
(CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)))
(CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2))
let rec flatten_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp)
: Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (flatten e)) =
match e with
| Unit -> EQ?.reflexivity eq (CM?.unit m)
| Atom x -> EQ?.reflexivity eq (select x am)
| Mult e1 e2 ->
flatten_correct_aux eq m am (flatten e1) (flatten e2);
EQ?.symmetry eq (xsdenote eq m am (flatten e1 @ flatten e2))
(CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)));
flatten_correct eq m am e1;
flatten_correct eq m am e2;
CM?.congruence m (mdenote eq m am e1) (mdenote eq m am e2)
(xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2));
EQ?.transitivity eq (CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2))
(CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)))
(xsdenote eq m am (flatten e1 @ flatten e2))
(***** Permuting the lists of atoms
by swapping adjacent elements *)
let permute = list atom -> list atom
// high-level correctness criterion for permutations
let permute_correct (p:permute) =
#a:Type -> eq:equiv a -> m:cm a eq -> am:amap a -> xs:list atom ->
Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs))
// sufficient condition:
// permutation has to be expressible as swaps of adjacent list elements
// In the general case, an arbitrary permutation can be done via swaps.
// (see FStar.Tactics.CanonCommSwaps for a proof)
let rec apply_swap_aux_correct (#a:Type) (n:nat) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (s:swap (length xs + n))
: Lemma (requires True)
(ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap_aux n xs s)))
(decreases xs) =
match xs with
| [] -> EQ?.reflexivity eq (CM?.unit m)
| [x] -> EQ?.reflexivity eq (select x am)
| [x1;x2] ->
if n = (s <: nat)
then CM?.commutativity m (select x1 am) (select x2 am)
else EQ?.reflexivity eq (xsdenote eq m am [x1;x2])
| x1 :: x2 :: xs' ->
if n = (s <: nat)
then (
CM?.associativity m (select x1 am) (select x2 am) (xsdenote eq m am xs');
EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs'))
(CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')));
CM?.commutativity m (select x1 am) (select x2 am);
EQ?.reflexivity eq (xsdenote eq m am xs');
CM?.congruence m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs')
(CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs');
CM?.associativity m (select x2 am) (select x1 am) (xsdenote eq m am xs');
EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')))
(CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs'))
(CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'));
EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')))
(CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'))
(CM?.mult m (select x2 am) (CM?.mult m (select x1 am) (xsdenote eq m am xs'))))
else (
apply_swap_aux_correct (n+1) eq m am (x2 :: xs') s;
EQ?.reflexivity eq (select x1 am);
CM?.congruence m (select x1 am) (xsdenote eq m am (x2 :: xs'))
(select x1 am) (xsdenote eq m am (apply_swap_aux (n+1) (x2 :: xs') s)))
let apply_swap_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (s:swap (length xs))
: Lemma (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap xs s)))
(decreases xs) =
apply_swap_aux_correct 0 eq m am xs s | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Tactics.CanonCommSwaps.fst.checked",
"FStar.Tactics.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.Properties.fst.checked",
"FStar.List.Tot.Base.fst.checked",
"FStar.List.Tot.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Algebra.CommMonoid.Equiv.fst.checked"
],
"interface_file": false,
"source_file": "FStar.Tactics.CanonCommMonoidSimple.Equiv.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommSwaps",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Classical",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Algebra.CommMonoid.Equiv",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"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 |
eq: FStar.Algebra.CommMonoid.Equiv.equiv a ->
m: FStar.Algebra.CommMonoid.Equiv.cm a eq ->
am: FStar.Tactics.CanonCommMonoidSimple.Equiv.amap a ->
xs: Prims.list FStar.Tactics.CanonCommMonoidSimple.Equiv.atom ->
ss: Prims.list (FStar.Tactics.CanonCommSwaps.swap (FStar.List.Tot.Base.length xs))
-> FStar.Pervasives.Lemma
(ensures
EQ?.eq eq
(FStar.Tactics.CanonCommMonoidSimple.Equiv.xsdenote eq m am xs)
(FStar.Tactics.CanonCommMonoidSimple.Equiv.xsdenote eq
m
am
(FStar.Tactics.CanonCommSwaps.apply_swaps xs ss))) (decreases ss) | FStar.Pervasives.Lemma | [
"lemma",
""
] | [] | [
"FStar.Algebra.CommMonoid.Equiv.equiv",
"FStar.Algebra.CommMonoid.Equiv.cm",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.amap",
"Prims.list",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.atom",
"FStar.Tactics.CanonCommSwaps.swap",
"FStar.List.Tot.Base.length",
"FStar.Algebra.CommMonoid.Equiv.__proj__EQ__item__reflexivity",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.xsdenote",
"FStar.Algebra.CommMonoid.Equiv.__proj__EQ__item__transitivity",
"FStar.Tactics.CanonCommSwaps.apply_swap",
"FStar.Tactics.CanonCommSwaps.apply_swaps",
"Prims.unit",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.apply_swaps_correct",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.apply_swap_correct",
"Prims.l_True",
"Prims.squash",
"FStar.Algebra.CommMonoid.Equiv.__proj__EQ__item__eq",
"Prims.Nil",
"FStar.Pervasives.pattern"
] | [
"recursion"
] | false | false | true | false | false | let rec apply_swaps_correct
(#a: Type)
(eq: equiv a)
(m: cm a eq)
(am: amap a)
(xs: list atom)
(ss: list (swap (length xs)))
: Lemma (requires True)
(ensures (EQ?.eq eq (xsdenote eq m am xs) (xsdenote eq m am (apply_swaps xs ss))))
(decreases ss) =
| match ss with
| [] -> EQ?.reflexivity eq (xsdenote eq m am xs)
| s :: ss' ->
apply_swap_correct eq m am xs s;
apply_swaps_correct eq m am (apply_swap xs s) ss';
EQ?.transitivity eq
(xsdenote eq m am xs)
(xsdenote eq m am (apply_swap xs s))
(xsdenote eq m am (apply_swaps (apply_swap xs s) ss')) | false |
FStar.Tactics.CanonCommMonoidSimple.Equiv.fst | FStar.Tactics.CanonCommMonoidSimple.Equiv.reification_aux | val reification_aux (ts: list term) (am: amap term) (mult unit t: term)
: Tac (exp * list term * amap term) | val reification_aux (ts: list term) (am: amap term) (mult unit t: term)
: Tac (exp * list term * amap term) | let rec reification_aux (ts:list term) (am:amap term)
(mult unit t : term) : Tac (exp * list term * amap term) =
let hd, tl = collect_app t in
match inspect hd, tl with
| Tv_FVar fv, [(t1, Q_Explicit) ; (t2, Q_Explicit)] ->
if term_eq (pack (Tv_FVar fv)) mult
then (let (e1, ts, am) = reification_aux ts am mult unit t1 in
let (e2, ts, am) = reification_aux ts am mult unit t2 in
(Mult e1 e2, ts, am))
else fatom t ts am
| _, _ ->
if term_eq t unit
then (Unit, ts, am)
else fatom t ts am | {
"file_name": "ulib/FStar.Tactics.CanonCommMonoidSimple.Equiv.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 22,
"end_line": 299,
"start_col": 0,
"start_line": 286
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Tactics.CanonCommMonoidSimple.Equiv
open FStar.Algebra.CommMonoid.Equiv
open FStar.List
open FStar.Classical
open FStar.Tactics.CanonCommSwaps
open FStar.Tactics.V2
let term_eq = FStar.Tactics.term_eq_old
(* A simple expression canonizer for commutative monoids (working up to
some given equivalence relation as opposed to just propositional equality).
For a canonizer with more features see FStar.Tactics.CanonCommMonoid.fst.
Based on FStar.Tactics.CanonCommMonoidSimple.fst
*)
(* Only dump when debugging is on *)
//let dump m = if debugging () then dump m
(***** Expression syntax *)
// GM: ugh, we had `nat`, but then we get bitten by lack
// of subtyping over datatypes when we typecheck the amap term
// we generate (see convert_am).
let atom : eqtype = int
type exp : Type =
| Unit : exp
| Mult : exp -> exp -> exp
| Atom : atom -> exp
let rec exp_to_string (e:exp) : string =
match e with
| Unit -> "Unit"
| Atom x -> "Atom " ^ string_of_int (x <: atom)
| Mult e1 e2 -> "Mult (" ^ exp_to_string e1
^ ") (" ^ exp_to_string e2 ^ ")"
(***** Expression denotation *)
// Use a map that stores for each atom
// (1) its denotation that should be treated abstractly (type a) and
// (2) user-specified extra information depending on its term (type b)
let amap (a:Type) = list (atom * a) * a
let const (#a:Type) (xa:a) : amap a = ([], xa)
let select (#a:Type) (x:atom) (am:amap a) : Tot a =
match assoc #atom #a x (fst am) with
| Some a -> a
| _ -> snd am
let update (#a:Type) (x:atom) (xa:a) (am:amap a) : amap a =
(x, xa)::fst am, snd am
let rec mdenote (#a:Type u#aa) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : a =
match e with
| Unit -> CM?.unit m
| Atom x -> select x am
| Mult e1 e2 -> CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2)
let rec xsdenote (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) : a =
match xs with
| [] -> CM?.unit m
| [x] -> select x am
| x::xs' -> CM?.mult m (select x am) (xsdenote eq m am xs')
(***** Flattening expressions to lists of atoms *)
let rec flatten (e:exp) : list atom =
match e with
| Unit -> []
| Atom x -> [x]
| Mult e1 e2 -> flatten e1 @ flatten e2
let rec flatten_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs1 xs2:list atom)
: Lemma (xsdenote eq m am (xs1 @ xs2) `EQ?.eq eq` CM?.mult m (xsdenote eq m am xs1)
(xsdenote eq m am xs2)) =
match xs1 with
| [] ->
CM?.identity m (xsdenote eq m am xs2);
EQ?.symmetry eq (CM?.mult m (CM?.unit m) (xsdenote eq m am xs2)) (xsdenote eq m am xs2)
| [x] -> (
if (Nil? xs2)
then (right_identity eq m (select x am);
EQ?.symmetry eq (CM?.mult m (select x am) (CM?.unit m)) (select x am))
else EQ?.reflexivity eq (CM?.mult m (xsdenote eq m am [x]) (xsdenote eq m am xs2)))
| x::xs1' ->
flatten_correct_aux eq m am xs1' xs2;
EQ?.reflexivity eq (select x am);
CM?.congruence m (select x am) (xsdenote eq m am (xs1' @ xs2))
(select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2));
CM?.associativity m (select x am) (xsdenote eq m am xs1') (xsdenote eq m am xs2);
EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2))
(CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)));
EQ?.transitivity eq (CM?.mult m (select x am) (xsdenote eq m am (xs1' @ xs2)))
(CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)))
(CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2))
let rec flatten_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp)
: Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (flatten e)) =
match e with
| Unit -> EQ?.reflexivity eq (CM?.unit m)
| Atom x -> EQ?.reflexivity eq (select x am)
| Mult e1 e2 ->
flatten_correct_aux eq m am (flatten e1) (flatten e2);
EQ?.symmetry eq (xsdenote eq m am (flatten e1 @ flatten e2))
(CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)));
flatten_correct eq m am e1;
flatten_correct eq m am e2;
CM?.congruence m (mdenote eq m am e1) (mdenote eq m am e2)
(xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2));
EQ?.transitivity eq (CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2))
(CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)))
(xsdenote eq m am (flatten e1 @ flatten e2))
(***** Permuting the lists of atoms
by swapping adjacent elements *)
let permute = list atom -> list atom
// high-level correctness criterion for permutations
let permute_correct (p:permute) =
#a:Type -> eq:equiv a -> m:cm a eq -> am:amap a -> xs:list atom ->
Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs))
// sufficient condition:
// permutation has to be expressible as swaps of adjacent list elements
// In the general case, an arbitrary permutation can be done via swaps.
// (see FStar.Tactics.CanonCommSwaps for a proof)
let rec apply_swap_aux_correct (#a:Type) (n:nat) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (s:swap (length xs + n))
: Lemma (requires True)
(ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap_aux n xs s)))
(decreases xs) =
match xs with
| [] -> EQ?.reflexivity eq (CM?.unit m)
| [x] -> EQ?.reflexivity eq (select x am)
| [x1;x2] ->
if n = (s <: nat)
then CM?.commutativity m (select x1 am) (select x2 am)
else EQ?.reflexivity eq (xsdenote eq m am [x1;x2])
| x1 :: x2 :: xs' ->
if n = (s <: nat)
then (
CM?.associativity m (select x1 am) (select x2 am) (xsdenote eq m am xs');
EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs'))
(CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')));
CM?.commutativity m (select x1 am) (select x2 am);
EQ?.reflexivity eq (xsdenote eq m am xs');
CM?.congruence m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs')
(CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs');
CM?.associativity m (select x2 am) (select x1 am) (xsdenote eq m am xs');
EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')))
(CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs'))
(CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'));
EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')))
(CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'))
(CM?.mult m (select x2 am) (CM?.mult m (select x1 am) (xsdenote eq m am xs'))))
else (
apply_swap_aux_correct (n+1) eq m am (x2 :: xs') s;
EQ?.reflexivity eq (select x1 am);
CM?.congruence m (select x1 am) (xsdenote eq m am (x2 :: xs'))
(select x1 am) (xsdenote eq m am (apply_swap_aux (n+1) (x2 :: xs') s)))
let apply_swap_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (s:swap (length xs))
: Lemma (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap xs s)))
(decreases xs) =
apply_swap_aux_correct 0 eq m am xs s
let rec apply_swaps_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (ss:list (swap (length xs)))
: Lemma (requires True)
(ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swaps xs ss)))
(decreases ss) =
match ss with
| [] -> EQ?.reflexivity eq (xsdenote eq m am xs)
| s::ss' ->
apply_swap_correct eq m am xs s;
apply_swaps_correct eq m am (apply_swap xs s) ss';
EQ?.transitivity eq (xsdenote eq m am xs)
(xsdenote eq m am (apply_swap xs s))
(xsdenote eq m am (apply_swaps (apply_swap xs s) ss'))
let permute_via_swaps (p:permute) =
(#a:Type) -> (am:amap a) -> xs:list atom ->
Lemma (exists (ss:swaps_for xs). p xs == apply_swaps xs ss)
let permute_via_swaps_correct_aux (p:permute) (pvs:permute_via_swaps p)
(#a:Type) (eq:equiv a)(m:cm a eq) (am:amap a) (xs:list atom)
: Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs)) =
pvs am xs;
assert(exists (ss:swaps_for xs). p xs == apply_swaps xs ss);
exists_elim (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs))
(() <: squash (exists (ss:swaps_for xs). p xs == apply_swaps xs ss))
(fun ss -> apply_swaps_correct eq m am xs ss)
let permute_via_swaps_correct
(p:permute) (pvs:permute_via_swaps p) : permute_correct p =
fun #a -> permute_via_swaps_correct_aux p pvs #a
(***** Sorting atoms is a correct permutation
(since it can be done by swaps) *)
// Here we sort the variable numbers
let sort : permute = List.Tot.Base.sortWith #int (compare_of_bool (<))
let sort_via_swaps (#a:Type) (am:amap a) (xs:list atom)
: Lemma (exists (ss:swaps_for xs). sort xs == apply_swaps xs ss)
= List.Tot.Properties.sortWith_permutation #int (compare_of_bool (<)) xs;
let ss = equal_counts_implies_swaps xs (sort xs) in
()
let sort_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom)
: Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (sort xs)) =
permute_via_swaps_correct sort (fun #a am -> sort_via_swaps am) eq m am xs
let sort_correct : permute_correct sort = (fun #a -> sort_correct_aux #a)
(***** Canonicalization tactics *)
let canon (e:exp) = sort (flatten e)
let canon_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp)
: Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (canon e)) =
flatten_correct eq m am e;
sort_correct eq m am (flatten e);
EQ?.transitivity eq (mdenote eq m am e)
(xsdenote eq m am (flatten e))
(xsdenote eq m am (sort (flatten e)))
let monoid_reflect_orig (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e1 e2:exp)
: Lemma (requires (xsdenote eq m am (canon e1) `EQ?.eq eq` xsdenote eq m am (canon e2)))
(ensures (mdenote eq m am e1 `EQ?.eq eq` mdenote eq m am e2)) =
canon_correct eq m am e1;
canon_correct eq m am e2;
EQ?.symmetry eq (mdenote eq m am e2) (xsdenote eq m am (canon e2));
EQ?.transitivity eq (mdenote eq m am e1)
(xsdenote eq m am (canon e1))
(xsdenote eq m am (canon e2));
EQ?.transitivity eq (mdenote eq m am e1)
(xsdenote eq m am (canon e2))
(mdenote eq m am e2)
let monoid_reflect (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e1 e2:exp)
(_ : squash (xsdenote eq m am (canon e1) `EQ?.eq eq` xsdenote eq m am (canon e2)))
: squash (mdenote eq m am e1 `EQ?.eq eq` mdenote eq m am e2) =
monoid_reflect_orig #a eq m am e1 e2
(* Finds the position of first occurrence of x in xs.
This is now specialized to terms and their funny term_eq. *)
let rec where_aux (n:nat) (x:term) (xs:list term) :
Tac (option nat) =
match xs with
| [] -> None
| x'::xs' -> if term_eq x x' then Some n else where_aux (n+1) x xs'
let where = where_aux 0
let fatom (t:term) (ts:list term) (am:amap term) : Tac (exp * list term * amap term) =
match where t ts with
| Some v -> (Atom v, ts, am)
| None ->
let vfresh = length ts in
let t = norm_term [iota; zeta] t in
(Atom vfresh, ts @ [t], update vfresh t am) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Tactics.CanonCommSwaps.fst.checked",
"FStar.Tactics.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.Properties.fst.checked",
"FStar.List.Tot.Base.fst.checked",
"FStar.List.Tot.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Algebra.CommMonoid.Equiv.fst.checked"
],
"interface_file": false,
"source_file": "FStar.Tactics.CanonCommMonoidSimple.Equiv.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommSwaps",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Classical",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Algebra.CommMonoid.Equiv",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"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 |
ts: Prims.list FStar.Tactics.NamedView.term ->
am: FStar.Tactics.CanonCommMonoidSimple.Equiv.amap FStar.Tactics.NamedView.term ->
mult: FStar.Tactics.NamedView.term ->
unit: FStar.Tactics.NamedView.term ->
t: FStar.Tactics.NamedView.term
-> FStar.Tactics.Effect.Tac
((FStar.Tactics.CanonCommMonoidSimple.Equiv.exp * Prims.list FStar.Tactics.NamedView.term) *
FStar.Tactics.CanonCommMonoidSimple.Equiv.amap FStar.Tactics.NamedView.term) | FStar.Tactics.Effect.Tac | [] | [] | [
"Prims.list",
"FStar.Tactics.NamedView.term",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.amap",
"FStar.Stubs.Reflection.V2.Data.argv",
"FStar.Stubs.Reflection.Types.fv",
"FStar.Stubs.Reflection.Types.term",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.exp",
"FStar.Pervasives.Native.Mktuple3",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.Mult",
"FStar.Pervasives.Native.tuple3",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.reification_aux",
"Prims.bool",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.fatom",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.term_eq",
"FStar.Tactics.NamedView.pack",
"FStar.Tactics.NamedView.Tv_FVar",
"FStar.Tactics.NamedView.named_term_view",
"FStar.Pervasives.Native.tuple2",
"FStar.Stubs.Reflection.V2.Data.aqualv",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.Unit",
"FStar.Pervasives.Native.Mktuple2",
"FStar.Tactics.NamedView.inspect",
"FStar.Tactics.V2.SyntaxHelpers.collect_app"
] | [
"recursion"
] | false | true | false | false | false | let rec reification_aux (ts: list term) (am: amap term) (mult unit t: term)
: Tac (exp * list term * amap term) =
| let hd, tl = collect_app t in
match inspect hd, tl with
| Tv_FVar fv, [t1, Q_Explicit ; t2, Q_Explicit] ->
if term_eq (pack (Tv_FVar fv)) mult
then
(let e1, ts, am = reification_aux ts am mult unit t1 in
let e2, ts, am = reification_aux ts am mult unit t2 in
(Mult e1 e2, ts, am))
else fatom t ts am
| _, _ -> if term_eq t unit then (Unit, ts, am) else fatom t ts am | false |
FStar.Seq.Base.fsti | FStar.Seq.Base.createEmpty | val createEmpty (#a: Type) : Tot (s: (seq a){length s = 0}) | val createEmpty (#a: Type) : Tot (s: (seq a){length s = 0}) | let createEmpty (#a:Type)
: Tot (s:(seq a){length s=0})
= empty #a | {
"file_name": "ulib/FStar.Seq.Base.fsti",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 14,
"end_line": 52,
"start_col": 0,
"start_line": 50
} | (*
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.
*)
(* A logical theory of sequences indexed by natural numbers in [0, n) *)
module FStar.Seq.Base
//#set-options "--initial_fuel 0 --max_fuel 0 --initial_ifuel 1 --max_ifuel 1"
module List = FStar.List.Tot
new val seq ([@@@strictly_positive] a : Type u#a) : Type u#a
(* Destructors *)
val length: #a:Type -> seq a -> Tot nat
val seq_to_list (#a:Type) (s:seq a) : Tot (l:list a{List.length l == length s})
val seq_of_list (#a:Type) (l:list a) : Tot (s:seq a{List.length l == length s})
val index: #a:Type -> s:seq a -> i:nat{i < length s} -> Tot a
val create: #a:Type -> nat -> a -> Tot (seq a)
private val init_aux (#a:Type) (len:nat) (k:nat{k < len}) (contents:(i:nat { i < len } -> Tot a))
:Tot (seq a)
inline_for_extraction val init: #a:Type -> len:nat -> contents: (i:nat { i < len } -> Tot a) -> Tot (seq a)
private val init_aux_ghost (#a:Type) (len:nat) (k:nat{k < len}) (contents:(i:nat { i < len } -> GTot a))
: GTot (seq a)
inline_for_extraction val init_ghost: #a:Type -> len:nat -> contents: (i:nat { i < len } -> GTot a) -> GTot (seq a)
val empty (#a:Type) : Tot (s:(seq a){length s=0})
[@@(deprecated "Seq.empty")] | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.fst.checked"
],
"interface_file": false,
"source_file": "FStar.Seq.Base.fsti"
} | [
{
"abbrev": true,
"full_module": "FStar.List.Tot",
"short_module": "List"
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | s: FStar.Seq.Base.seq a {FStar.Seq.Base.length s = 0} | Prims.Tot | [
"total"
] | [] | [
"FStar.Seq.Base.empty",
"FStar.Seq.Base.seq",
"Prims.b2t",
"Prims.op_Equality",
"Prims.int",
"FStar.Seq.Base.length"
] | [] | false | false | false | false | false | let createEmpty (#a: Type) : Tot (s: (seq a){length s = 0}) =
| empty #a | false |
FStar.Seq.Base.fsti | FStar.Seq.Base.op_At_Bar | val op_At_Bar : s1: FStar.Seq.Base.seq a -> s2: FStar.Seq.Base.seq a -> FStar.Seq.Base.seq a | let op_At_Bar (#a:Type) (s1:seq a) (s2:seq a) = append s1 s2 | {
"file_name": "ulib/FStar.Seq.Base.fsti",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 60,
"end_line": 62,
"start_col": 0,
"start_line": 62
} | (*
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.
*)
(* A logical theory of sequences indexed by natural numbers in [0, n) *)
module FStar.Seq.Base
//#set-options "--initial_fuel 0 --max_fuel 0 --initial_ifuel 1 --max_ifuel 1"
module List = FStar.List.Tot
new val seq ([@@@strictly_positive] a : Type u#a) : Type u#a
(* Destructors *)
val length: #a:Type -> seq a -> Tot nat
val seq_to_list (#a:Type) (s:seq a) : Tot (l:list a{List.length l == length s})
val seq_of_list (#a:Type) (l:list a) : Tot (s:seq a{List.length l == length s})
val index: #a:Type -> s:seq a -> i:nat{i < length s} -> Tot a
val create: #a:Type -> nat -> a -> Tot (seq a)
private val init_aux (#a:Type) (len:nat) (k:nat{k < len}) (contents:(i:nat { i < len } -> Tot a))
:Tot (seq a)
inline_for_extraction val init: #a:Type -> len:nat -> contents: (i:nat { i < len } -> Tot a) -> Tot (seq a)
private val init_aux_ghost (#a:Type) (len:nat) (k:nat{k < len}) (contents:(i:nat { i < len } -> GTot a))
: GTot (seq a)
inline_for_extraction val init_ghost: #a:Type -> len:nat -> contents: (i:nat { i < len } -> GTot a) -> GTot (seq a)
val empty (#a:Type) : Tot (s:(seq a){length s=0})
[@@(deprecated "Seq.empty")]
unfold
let createEmpty (#a:Type)
: Tot (s:(seq a){length s=0})
= empty #a
val lemma_empty (#a:Type) (s:seq a) : Lemma (length s = 0 ==> s == empty #a)
val upd: #a:Type -> s:seq a -> n:nat{n < length s} -> a -> Tot (seq a)
val append: #a:Type -> seq a -> seq a -> Tot (seq a)
let cons (#a:Type) (x:a) (s:seq a) : Tot (seq a) = append (create 1 x) s | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.fst.checked"
],
"interface_file": false,
"source_file": "FStar.Seq.Base.fsti"
} | [
{
"abbrev": true,
"full_module": "FStar.List.Tot",
"short_module": "List"
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"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 | s1: FStar.Seq.Base.seq a -> s2: FStar.Seq.Base.seq a -> FStar.Seq.Base.seq a | Prims.Tot | [
"total"
] | [] | [
"FStar.Seq.Base.seq",
"FStar.Seq.Base.append"
] | [] | false | false | false | true | false | let ( @| ) (#a: Type) (s1 s2: seq a) =
| append s1 s2 | false |
|
FStar.Seq.Base.fsti | FStar.Seq.Base.cons | val cons (#a: Type) (x: a) (s: seq a) : Tot (seq a) | val cons (#a: Type) (x: a) (s: seq a) : Tot (seq a) | let cons (#a:Type) (x:a) (s:seq a) : Tot (seq a) = append (create 1 x) s | {
"file_name": "ulib/FStar.Seq.Base.fsti",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 72,
"end_line": 60,
"start_col": 0,
"start_line": 60
} | (*
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.
*)
(* A logical theory of sequences indexed by natural numbers in [0, n) *)
module FStar.Seq.Base
//#set-options "--initial_fuel 0 --max_fuel 0 --initial_ifuel 1 --max_ifuel 1"
module List = FStar.List.Tot
new val seq ([@@@strictly_positive] a : Type u#a) : Type u#a
(* Destructors *)
val length: #a:Type -> seq a -> Tot nat
val seq_to_list (#a:Type) (s:seq a) : Tot (l:list a{List.length l == length s})
val seq_of_list (#a:Type) (l:list a) : Tot (s:seq a{List.length l == length s})
val index: #a:Type -> s:seq a -> i:nat{i < length s} -> Tot a
val create: #a:Type -> nat -> a -> Tot (seq a)
private val init_aux (#a:Type) (len:nat) (k:nat{k < len}) (contents:(i:nat { i < len } -> Tot a))
:Tot (seq a)
inline_for_extraction val init: #a:Type -> len:nat -> contents: (i:nat { i < len } -> Tot a) -> Tot (seq a)
private val init_aux_ghost (#a:Type) (len:nat) (k:nat{k < len}) (contents:(i:nat { i < len } -> GTot a))
: GTot (seq a)
inline_for_extraction val init_ghost: #a:Type -> len:nat -> contents: (i:nat { i < len } -> GTot a) -> GTot (seq a)
val empty (#a:Type) : Tot (s:(seq a){length s=0})
[@@(deprecated "Seq.empty")]
unfold
let createEmpty (#a:Type)
: Tot (s:(seq a){length s=0})
= empty #a
val lemma_empty (#a:Type) (s:seq a) : Lemma (length s = 0 ==> s == empty #a)
val upd: #a:Type -> s:seq a -> n:nat{n < length s} -> a -> Tot (seq a)
val append: #a:Type -> seq a -> seq a -> Tot (seq a) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.fst.checked"
],
"interface_file": false,
"source_file": "FStar.Seq.Base.fsti"
} | [
{
"abbrev": true,
"full_module": "FStar.List.Tot",
"short_module": "List"
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"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 -> s: FStar.Seq.Base.seq a -> FStar.Seq.Base.seq a | Prims.Tot | [
"total"
] | [] | [
"FStar.Seq.Base.seq",
"FStar.Seq.Base.append",
"FStar.Seq.Base.create"
] | [] | false | false | false | true | false | let cons (#a: Type) (x: a) (s: seq a) : Tot (seq a) =
| append (create 1 x) s | false |
FStar.Tactics.CanonCommMonoidSimple.Equiv.fst | FStar.Tactics.CanonCommMonoidSimple.Equiv.flatten_correct_aux | val flatten_correct_aux (#a: Type) (eq: equiv a) (m: cm a eq) (am: amap a) (xs1 xs2: list atom)
: Lemma
(EQ?.eq eq
(xsdenote eq m am (xs1 @ xs2))
(CM?.mult m (xsdenote eq m am xs1) (xsdenote eq m am xs2))) | val flatten_correct_aux (#a: Type) (eq: equiv a) (m: cm a eq) (am: amap a) (xs1 xs2: list atom)
: Lemma
(EQ?.eq eq
(xsdenote eq m am (xs1 @ xs2))
(CM?.mult m (xsdenote eq m am xs1) (xsdenote eq m am xs2))) | let rec flatten_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs1 xs2:list atom)
: Lemma (xsdenote eq m am (xs1 @ xs2) `EQ?.eq eq` CM?.mult m (xsdenote eq m am xs1)
(xsdenote eq m am xs2)) =
match xs1 with
| [] ->
CM?.identity m (xsdenote eq m am xs2);
EQ?.symmetry eq (CM?.mult m (CM?.unit m) (xsdenote eq m am xs2)) (xsdenote eq m am xs2)
| [x] -> (
if (Nil? xs2)
then (right_identity eq m (select x am);
EQ?.symmetry eq (CM?.mult m (select x am) (CM?.unit m)) (select x am))
else EQ?.reflexivity eq (CM?.mult m (xsdenote eq m am [x]) (xsdenote eq m am xs2)))
| x::xs1' ->
flatten_correct_aux eq m am xs1' xs2;
EQ?.reflexivity eq (select x am);
CM?.congruence m (select x am) (xsdenote eq m am (xs1' @ xs2))
(select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2));
CM?.associativity m (select x am) (xsdenote eq m am xs1') (xsdenote eq m am xs2);
EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2))
(CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)));
EQ?.transitivity eq (CM?.mult m (select x am) (xsdenote eq m am (xs1' @ xs2)))
(CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)))
(CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2)) | {
"file_name": "ulib/FStar.Tactics.CanonCommMonoidSimple.Equiv.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 112,
"end_line": 112,
"start_col": 0,
"start_line": 90
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Tactics.CanonCommMonoidSimple.Equiv
open FStar.Algebra.CommMonoid.Equiv
open FStar.List
open FStar.Classical
open FStar.Tactics.CanonCommSwaps
open FStar.Tactics.V2
let term_eq = FStar.Tactics.term_eq_old
(* A simple expression canonizer for commutative monoids (working up to
some given equivalence relation as opposed to just propositional equality).
For a canonizer with more features see FStar.Tactics.CanonCommMonoid.fst.
Based on FStar.Tactics.CanonCommMonoidSimple.fst
*)
(* Only dump when debugging is on *)
//let dump m = if debugging () then dump m
(***** Expression syntax *)
// GM: ugh, we had `nat`, but then we get bitten by lack
// of subtyping over datatypes when we typecheck the amap term
// we generate (see convert_am).
let atom : eqtype = int
type exp : Type =
| Unit : exp
| Mult : exp -> exp -> exp
| Atom : atom -> exp
let rec exp_to_string (e:exp) : string =
match e with
| Unit -> "Unit"
| Atom x -> "Atom " ^ string_of_int (x <: atom)
| Mult e1 e2 -> "Mult (" ^ exp_to_string e1
^ ") (" ^ exp_to_string e2 ^ ")"
(***** Expression denotation *)
// Use a map that stores for each atom
// (1) its denotation that should be treated abstractly (type a) and
// (2) user-specified extra information depending on its term (type b)
let amap (a:Type) = list (atom * a) * a
let const (#a:Type) (xa:a) : amap a = ([], xa)
let select (#a:Type) (x:atom) (am:amap a) : Tot a =
match assoc #atom #a x (fst am) with
| Some a -> a
| _ -> snd am
let update (#a:Type) (x:atom) (xa:a) (am:amap a) : amap a =
(x, xa)::fst am, snd am
let rec mdenote (#a:Type u#aa) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : a =
match e with
| Unit -> CM?.unit m
| Atom x -> select x am
| Mult e1 e2 -> CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2)
let rec xsdenote (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) : a =
match xs with
| [] -> CM?.unit m
| [x] -> select x am
| x::xs' -> CM?.mult m (select x am) (xsdenote eq m am xs')
(***** Flattening expressions to lists of atoms *)
let rec flatten (e:exp) : list atom =
match e with
| Unit -> []
| Atom x -> [x]
| Mult e1 e2 -> flatten e1 @ flatten e2 | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Tactics.CanonCommSwaps.fst.checked",
"FStar.Tactics.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.Properties.fst.checked",
"FStar.List.Tot.Base.fst.checked",
"FStar.List.Tot.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Algebra.CommMonoid.Equiv.fst.checked"
],
"interface_file": false,
"source_file": "FStar.Tactics.CanonCommMonoidSimple.Equiv.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommSwaps",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Classical",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Algebra.CommMonoid.Equiv",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"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 |
eq: FStar.Algebra.CommMonoid.Equiv.equiv a ->
m: FStar.Algebra.CommMonoid.Equiv.cm a eq ->
am: FStar.Tactics.CanonCommMonoidSimple.Equiv.amap a ->
xs1: Prims.list FStar.Tactics.CanonCommMonoidSimple.Equiv.atom ->
xs2: Prims.list FStar.Tactics.CanonCommMonoidSimple.Equiv.atom
-> FStar.Pervasives.Lemma
(ensures
EQ?.eq eq
(FStar.Tactics.CanonCommMonoidSimple.Equiv.xsdenote eq m am (xs1 @ xs2))
(CM?.mult m
(FStar.Tactics.CanonCommMonoidSimple.Equiv.xsdenote eq m am xs1)
(FStar.Tactics.CanonCommMonoidSimple.Equiv.xsdenote eq m am xs2))) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"FStar.Algebra.CommMonoid.Equiv.equiv",
"FStar.Algebra.CommMonoid.Equiv.cm",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.amap",
"Prims.list",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.atom",
"FStar.Algebra.CommMonoid.Equiv.__proj__EQ__item__symmetry",
"FStar.Algebra.CommMonoid.Equiv.__proj__CM__item__mult",
"FStar.Algebra.CommMonoid.Equiv.__proj__CM__item__unit",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.xsdenote",
"Prims.unit",
"FStar.Algebra.CommMonoid.Equiv.__proj__CM__item__identity",
"Prims.uu___is_Nil",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.select",
"FStar.Algebra.CommMonoid.Equiv.right_identity",
"Prims.bool",
"FStar.Algebra.CommMonoid.Equiv.__proj__EQ__item__reflexivity",
"Prims.Cons",
"Prims.Nil",
"FStar.Algebra.CommMonoid.Equiv.__proj__EQ__item__transitivity",
"FStar.List.Tot.Base.op_At",
"FStar.Algebra.CommMonoid.Equiv.__proj__CM__item__associativity",
"FStar.Algebra.CommMonoid.Equiv.__proj__CM__item__congruence",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.flatten_correct_aux",
"Prims.l_True",
"Prims.squash",
"FStar.Algebra.CommMonoid.Equiv.__proj__EQ__item__eq",
"FStar.Pervasives.pattern"
] | [
"recursion"
] | false | false | true | false | false | let rec flatten_correct_aux (#a: Type) (eq: equiv a) (m: cm a eq) (am: amap a) (xs1 xs2: list atom)
: Lemma
(EQ?.eq eq
(xsdenote eq m am (xs1 @ xs2))
(CM?.mult m (xsdenote eq m am xs1) (xsdenote eq m am xs2))) =
| match xs1 with
| [] ->
CM?.identity m (xsdenote eq m am xs2);
EQ?.symmetry eq (CM?.mult m (CM?.unit m) (xsdenote eq m am xs2)) (xsdenote eq m am xs2)
| [x] ->
(if (Nil? xs2)
then
(right_identity eq m (select x am);
EQ?.symmetry eq (CM?.mult m (select x am) (CM?.unit m)) (select x am))
else EQ?.reflexivity eq (CM?.mult m (xsdenote eq m am [x]) (xsdenote eq m am xs2)))
| x :: xs1' ->
flatten_correct_aux eq m am xs1' xs2;
EQ?.reflexivity eq (select x am);
CM?.congruence m
(select x am)
(xsdenote eq m am (xs1' @ xs2))
(select x am)
(CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2));
CM?.associativity m (select x am) (xsdenote eq m am xs1') (xsdenote eq m am xs2);
EQ?.symmetry eq
(CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2))
(CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)));
EQ?.transitivity eq
(CM?.mult m (select x am) (xsdenote eq m am (xs1' @ xs2)))
(CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)))
(CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2)) | false |
FStar.Tactics.CanonCommMonoidSimple.Equiv.fst | FStar.Tactics.CanonCommMonoidSimple.Equiv.canon_lhs_rhs | val canon_lhs_rhs (eq m lhs rhs: term) : Tac unit | val canon_lhs_rhs (eq m lhs rhs: term) : Tac unit | let canon_lhs_rhs (eq: term) (m: term) (lhs rhs:term) : Tac unit =
let m_unit = norm_term [iota; zeta; delta](`CM?.unit (`#m)) in
let am = const m_unit in (* empty map *)
let (r1, ts, am) = reification eq m [] am lhs in
let (r2, _, am) = reification eq m ts am rhs in
//dump ("am = " ^ term_to_string (quote am));
//dump ("r1 = " ^ term_to_string (norm_term [delta;primops] (quote (mdenote eq m am r1))));
//dump ("r2 = " ^ term_to_string (norm_term [delta;primops] (quote (mdenote eq m am r2))));
//dump ("before = " ^ term_to_string (norm_term [hnf;delta;primops]
// (quote (mdenote eq m am r1 `EQ?.eq eq` mdenote eq m am r2))));
//dump ("current goal -- " ^ term_to_string (cur_goal ()));
let am = convert_am am in
let r1 = quote_exp r1 in
let r2 = quote_exp r2 in
change_sq (`(mdenote (`#eq) (`#m) (`#am) (`#r1)
`EQ?.eq (`#eq)`
mdenote (`#eq) (`#m) (`#am) (`#r2)));
(* dump ("expected after = " ^ term_to_string (norm_term [delta;primops] *)
(* (quote (xsdenote eq m am (canon r1) `EQ?.eq eq` *)
(* xsdenote eq m am (canon r2))))); *)
apply (`monoid_reflect);
//dump ("after apply monoid_reflect");
norm [iota; zeta; delta_only [`%canon; `%xsdenote; `%flatten; `%sort;
`%select; `%assoc; `%fst; `%__proj__Mktuple2__item___1;
`%(@); `%append; `%List.Tot.sortWith;
`%List.Tot.partition; `%bool_of_compare;
`%compare_of_bool;
]; primops];
//dump "before refl";
or_else (fun _ -> apply_lemma (`(EQ?.reflexivity (`#eq))))
(fun _ -> repeat_cong_right_identity eq m) | {
"file_name": "ulib/FStar.Tactics.CanonCommMonoidSimple.Equiv.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 52,
"end_line": 369,
"start_col": 0,
"start_line": 339
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Tactics.CanonCommMonoidSimple.Equiv
open FStar.Algebra.CommMonoid.Equiv
open FStar.List
open FStar.Classical
open FStar.Tactics.CanonCommSwaps
open FStar.Tactics.V2
let term_eq = FStar.Tactics.term_eq_old
(* A simple expression canonizer for commutative monoids (working up to
some given equivalence relation as opposed to just propositional equality).
For a canonizer with more features see FStar.Tactics.CanonCommMonoid.fst.
Based on FStar.Tactics.CanonCommMonoidSimple.fst
*)
(* Only dump when debugging is on *)
//let dump m = if debugging () then dump m
(***** Expression syntax *)
// GM: ugh, we had `nat`, but then we get bitten by lack
// of subtyping over datatypes when we typecheck the amap term
// we generate (see convert_am).
let atom : eqtype = int
type exp : Type =
| Unit : exp
| Mult : exp -> exp -> exp
| Atom : atom -> exp
let rec exp_to_string (e:exp) : string =
match e with
| Unit -> "Unit"
| Atom x -> "Atom " ^ string_of_int (x <: atom)
| Mult e1 e2 -> "Mult (" ^ exp_to_string e1
^ ") (" ^ exp_to_string e2 ^ ")"
(***** Expression denotation *)
// Use a map that stores for each atom
// (1) its denotation that should be treated abstractly (type a) and
// (2) user-specified extra information depending on its term (type b)
let amap (a:Type) = list (atom * a) * a
let const (#a:Type) (xa:a) : amap a = ([], xa)
let select (#a:Type) (x:atom) (am:amap a) : Tot a =
match assoc #atom #a x (fst am) with
| Some a -> a
| _ -> snd am
let update (#a:Type) (x:atom) (xa:a) (am:amap a) : amap a =
(x, xa)::fst am, snd am
let rec mdenote (#a:Type u#aa) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : a =
match e with
| Unit -> CM?.unit m
| Atom x -> select x am
| Mult e1 e2 -> CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2)
let rec xsdenote (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) : a =
match xs with
| [] -> CM?.unit m
| [x] -> select x am
| x::xs' -> CM?.mult m (select x am) (xsdenote eq m am xs')
(***** Flattening expressions to lists of atoms *)
let rec flatten (e:exp) : list atom =
match e with
| Unit -> []
| Atom x -> [x]
| Mult e1 e2 -> flatten e1 @ flatten e2
let rec flatten_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs1 xs2:list atom)
: Lemma (xsdenote eq m am (xs1 @ xs2) `EQ?.eq eq` CM?.mult m (xsdenote eq m am xs1)
(xsdenote eq m am xs2)) =
match xs1 with
| [] ->
CM?.identity m (xsdenote eq m am xs2);
EQ?.symmetry eq (CM?.mult m (CM?.unit m) (xsdenote eq m am xs2)) (xsdenote eq m am xs2)
| [x] -> (
if (Nil? xs2)
then (right_identity eq m (select x am);
EQ?.symmetry eq (CM?.mult m (select x am) (CM?.unit m)) (select x am))
else EQ?.reflexivity eq (CM?.mult m (xsdenote eq m am [x]) (xsdenote eq m am xs2)))
| x::xs1' ->
flatten_correct_aux eq m am xs1' xs2;
EQ?.reflexivity eq (select x am);
CM?.congruence m (select x am) (xsdenote eq m am (xs1' @ xs2))
(select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2));
CM?.associativity m (select x am) (xsdenote eq m am xs1') (xsdenote eq m am xs2);
EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2))
(CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)));
EQ?.transitivity eq (CM?.mult m (select x am) (xsdenote eq m am (xs1' @ xs2)))
(CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)))
(CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2))
let rec flatten_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp)
: Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (flatten e)) =
match e with
| Unit -> EQ?.reflexivity eq (CM?.unit m)
| Atom x -> EQ?.reflexivity eq (select x am)
| Mult e1 e2 ->
flatten_correct_aux eq m am (flatten e1) (flatten e2);
EQ?.symmetry eq (xsdenote eq m am (flatten e1 @ flatten e2))
(CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)));
flatten_correct eq m am e1;
flatten_correct eq m am e2;
CM?.congruence m (mdenote eq m am e1) (mdenote eq m am e2)
(xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2));
EQ?.transitivity eq (CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2))
(CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)))
(xsdenote eq m am (flatten e1 @ flatten e2))
(***** Permuting the lists of atoms
by swapping adjacent elements *)
let permute = list atom -> list atom
// high-level correctness criterion for permutations
let permute_correct (p:permute) =
#a:Type -> eq:equiv a -> m:cm a eq -> am:amap a -> xs:list atom ->
Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs))
// sufficient condition:
// permutation has to be expressible as swaps of adjacent list elements
// In the general case, an arbitrary permutation can be done via swaps.
// (see FStar.Tactics.CanonCommSwaps for a proof)
let rec apply_swap_aux_correct (#a:Type) (n:nat) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (s:swap (length xs + n))
: Lemma (requires True)
(ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap_aux n xs s)))
(decreases xs) =
match xs with
| [] -> EQ?.reflexivity eq (CM?.unit m)
| [x] -> EQ?.reflexivity eq (select x am)
| [x1;x2] ->
if n = (s <: nat)
then CM?.commutativity m (select x1 am) (select x2 am)
else EQ?.reflexivity eq (xsdenote eq m am [x1;x2])
| x1 :: x2 :: xs' ->
if n = (s <: nat)
then (
CM?.associativity m (select x1 am) (select x2 am) (xsdenote eq m am xs');
EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs'))
(CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')));
CM?.commutativity m (select x1 am) (select x2 am);
EQ?.reflexivity eq (xsdenote eq m am xs');
CM?.congruence m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs')
(CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs');
CM?.associativity m (select x2 am) (select x1 am) (xsdenote eq m am xs');
EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')))
(CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs'))
(CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'));
EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')))
(CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'))
(CM?.mult m (select x2 am) (CM?.mult m (select x1 am) (xsdenote eq m am xs'))))
else (
apply_swap_aux_correct (n+1) eq m am (x2 :: xs') s;
EQ?.reflexivity eq (select x1 am);
CM?.congruence m (select x1 am) (xsdenote eq m am (x2 :: xs'))
(select x1 am) (xsdenote eq m am (apply_swap_aux (n+1) (x2 :: xs') s)))
let apply_swap_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (s:swap (length xs))
: Lemma (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap xs s)))
(decreases xs) =
apply_swap_aux_correct 0 eq m am xs s
let rec apply_swaps_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (ss:list (swap (length xs)))
: Lemma (requires True)
(ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swaps xs ss)))
(decreases ss) =
match ss with
| [] -> EQ?.reflexivity eq (xsdenote eq m am xs)
| s::ss' ->
apply_swap_correct eq m am xs s;
apply_swaps_correct eq m am (apply_swap xs s) ss';
EQ?.transitivity eq (xsdenote eq m am xs)
(xsdenote eq m am (apply_swap xs s))
(xsdenote eq m am (apply_swaps (apply_swap xs s) ss'))
let permute_via_swaps (p:permute) =
(#a:Type) -> (am:amap a) -> xs:list atom ->
Lemma (exists (ss:swaps_for xs). p xs == apply_swaps xs ss)
let permute_via_swaps_correct_aux (p:permute) (pvs:permute_via_swaps p)
(#a:Type) (eq:equiv a)(m:cm a eq) (am:amap a) (xs:list atom)
: Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs)) =
pvs am xs;
assert(exists (ss:swaps_for xs). p xs == apply_swaps xs ss);
exists_elim (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs))
(() <: squash (exists (ss:swaps_for xs). p xs == apply_swaps xs ss))
(fun ss -> apply_swaps_correct eq m am xs ss)
let permute_via_swaps_correct
(p:permute) (pvs:permute_via_swaps p) : permute_correct p =
fun #a -> permute_via_swaps_correct_aux p pvs #a
(***** Sorting atoms is a correct permutation
(since it can be done by swaps) *)
// Here we sort the variable numbers
let sort : permute = List.Tot.Base.sortWith #int (compare_of_bool (<))
let sort_via_swaps (#a:Type) (am:amap a) (xs:list atom)
: Lemma (exists (ss:swaps_for xs). sort xs == apply_swaps xs ss)
= List.Tot.Properties.sortWith_permutation #int (compare_of_bool (<)) xs;
let ss = equal_counts_implies_swaps xs (sort xs) in
()
let sort_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom)
: Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (sort xs)) =
permute_via_swaps_correct sort (fun #a am -> sort_via_swaps am) eq m am xs
let sort_correct : permute_correct sort = (fun #a -> sort_correct_aux #a)
(***** Canonicalization tactics *)
let canon (e:exp) = sort (flatten e)
let canon_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp)
: Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (canon e)) =
flatten_correct eq m am e;
sort_correct eq m am (flatten e);
EQ?.transitivity eq (mdenote eq m am e)
(xsdenote eq m am (flatten e))
(xsdenote eq m am (sort (flatten e)))
let monoid_reflect_orig (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e1 e2:exp)
: Lemma (requires (xsdenote eq m am (canon e1) `EQ?.eq eq` xsdenote eq m am (canon e2)))
(ensures (mdenote eq m am e1 `EQ?.eq eq` mdenote eq m am e2)) =
canon_correct eq m am e1;
canon_correct eq m am e2;
EQ?.symmetry eq (mdenote eq m am e2) (xsdenote eq m am (canon e2));
EQ?.transitivity eq (mdenote eq m am e1)
(xsdenote eq m am (canon e1))
(xsdenote eq m am (canon e2));
EQ?.transitivity eq (mdenote eq m am e1)
(xsdenote eq m am (canon e2))
(mdenote eq m am e2)
let monoid_reflect (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e1 e2:exp)
(_ : squash (xsdenote eq m am (canon e1) `EQ?.eq eq` xsdenote eq m am (canon e2)))
: squash (mdenote eq m am e1 `EQ?.eq eq` mdenote eq m am e2) =
monoid_reflect_orig #a eq m am e1 e2
(* Finds the position of first occurrence of x in xs.
This is now specialized to terms and their funny term_eq. *)
let rec where_aux (n:nat) (x:term) (xs:list term) :
Tac (option nat) =
match xs with
| [] -> None
| x'::xs' -> if term_eq x x' then Some n else where_aux (n+1) x xs'
let where = where_aux 0
let fatom (t:term) (ts:list term) (am:amap term) : Tac (exp * list term * amap term) =
match where t ts with
| Some v -> (Atom v, ts, am)
| None ->
let vfresh = length ts in
let t = norm_term [iota; zeta] t in
(Atom vfresh, ts @ [t], update vfresh t am)
// This expects that mult, unit, and t have already been normalized
let rec reification_aux (ts:list term) (am:amap term)
(mult unit t : term) : Tac (exp * list term * amap term) =
let hd, tl = collect_app t in
match inspect hd, tl with
| Tv_FVar fv, [(t1, Q_Explicit) ; (t2, Q_Explicit)] ->
if term_eq (pack (Tv_FVar fv)) mult
then (let (e1, ts, am) = reification_aux ts am mult unit t1 in
let (e2, ts, am) = reification_aux ts am mult unit t2 in
(Mult e1 e2, ts, am))
else fatom t ts am
| _, _ ->
if term_eq t unit
then (Unit, ts, am)
else fatom t ts am
let reification (eq: term) (m: term) (ts:list term) (am:amap term) (t:term) :
Tac (exp * list term * amap term) =
let mult = norm_term [iota; zeta; delta] (`CM?.mult (`#m)) in
let unit = norm_term [iota; zeta; delta] (`CM?.unit (`#m)) in
let t = norm_term [iota; zeta] t in
reification_aux ts am mult unit t
let rec repeat_cong_right_identity (eq: term) (m: term) : Tac unit =
or_else (fun _ -> apply_lemma (`right_identity))
(fun _ -> apply_lemma (`CM?.congruence (`#m));
split ();
apply_lemma (`EQ?.reflexivity (`#eq));
repeat_cong_right_identity eq m
)
let rec convert_map (m : list (atom * term)) : term =
match m with
| [] -> `[]
| (a, t)::ps ->
let a = pack (Tv_Const (C_Int a)) in
(* let t = norm_term [delta] t in *)
`((`#a, (`#t)) :: (`#(convert_map ps)))
(* `am` is an amap (basically a list) of terms, each representing a value
of type `a` (whichever we are canonicalizing). This functions converts
`am` into a single `term` of type `amap a`, suitable to call `mdenote` with *)
let convert_am (am : amap term) : term =
let (map, def) = am in
(* let def = norm_term [delta] def in *)
`( (`#(convert_map map), `#def) )
let rec quote_exp (e:exp) : term =
match e with
| Unit -> (`Unit)
| Mult e1 e2 -> (`Mult (`#(quote_exp e1)) (`#(quote_exp e2)))
| Atom n -> let nt = pack (Tv_Const (C_Int n)) in
(`Atom (`#nt)) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Tactics.CanonCommSwaps.fst.checked",
"FStar.Tactics.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.Properties.fst.checked",
"FStar.List.Tot.Base.fst.checked",
"FStar.List.Tot.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Algebra.CommMonoid.Equiv.fst.checked"
],
"interface_file": false,
"source_file": "FStar.Tactics.CanonCommMonoidSimple.Equiv.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommSwaps",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Classical",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Algebra.CommMonoid.Equiv",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"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 |
eq: FStar.Tactics.NamedView.term ->
m: FStar.Tactics.NamedView.term ->
lhs: FStar.Tactics.NamedView.term ->
rhs: FStar.Tactics.NamedView.term
-> FStar.Tactics.Effect.Tac Prims.unit | FStar.Tactics.Effect.Tac | [] | [] | [
"FStar.Tactics.NamedView.term",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.exp",
"Prims.list",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.amap",
"FStar.Tactics.V2.Derived.or_else",
"Prims.unit",
"FStar.Tactics.V2.Derived.apply_lemma",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.repeat_cong_right_identity",
"FStar.Stubs.Tactics.V2.Builtins.norm",
"Prims.Cons",
"FStar.Pervasives.norm_step",
"FStar.Pervasives.iota",
"FStar.Pervasives.zeta",
"FStar.Pervasives.delta_only",
"Prims.string",
"Prims.Nil",
"FStar.Pervasives.primops",
"FStar.Tactics.V2.Derived.apply",
"FStar.Tactics.V2.Derived.change_sq",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.quote_exp",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.convert_am",
"FStar.Pervasives.Native.tuple3",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.reification",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.const",
"FStar.Tactics.V2.Derived.norm_term",
"FStar.Pervasives.delta"
] | [] | false | true | false | false | false | let canon_lhs_rhs (eq m lhs rhs: term) : Tac unit =
| let m_unit = norm_term [iota; zeta; delta] (`CM?.unit (`#m)) in
let am = const m_unit in
let r1, ts, am = reification eq m [] am lhs in
let r2, _, am = reification eq m ts am rhs in
let am = convert_am am in
let r1 = quote_exp r1 in
let r2 = quote_exp r2 in
change_sq (`(EQ?.eq (`#eq) (mdenote (`#eq) (`#m) (`#am) (`#r1)) (mdenote (`#eq) (`#m) (`#am) (`#r2))
));
apply (`monoid_reflect);
norm [
iota;
zeta;
delta_only [
`%canon; `%xsdenote; `%flatten; `%sort; `%select; `%assoc; `%fst;
`%__proj__Mktuple2__item___1; `%( @ ); `%append; `%List.Tot.sortWith; `%List.Tot.partition;
`%bool_of_compare; `%compare_of_bool
];
primops
];
or_else (fun _ -> apply_lemma (`(EQ?.reflexivity (`#eq))))
(fun _ -> repeat_cong_right_identity eq m) | false |
FStar.Tactics.CanonCommMonoidSimple.Equiv.fst | FStar.Tactics.CanonCommMonoidSimple.Equiv.monoid_reflect | val monoid_reflect:
#a: Type ->
eq: equiv a ->
m: cm a eq ->
am: amap a ->
e1: exp ->
e2: exp ->
squash (EQ?.eq eq (xsdenote eq m am (canon e1)) (xsdenote eq m am (canon e2)))
-> squash (EQ?.eq eq (mdenote eq m am e1) (mdenote eq m am e2)) | val monoid_reflect:
#a: Type ->
eq: equiv a ->
m: cm a eq ->
am: amap a ->
e1: exp ->
e2: exp ->
squash (EQ?.eq eq (xsdenote eq m am (canon e1)) (xsdenote eq m am (canon e2)))
-> squash (EQ?.eq eq (mdenote eq m am e1) (mdenote eq m am e2)) | let monoid_reflect (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e1 e2:exp)
(_ : squash (xsdenote eq m am (canon e1) `EQ?.eq eq` xsdenote eq m am (canon e2)))
: squash (mdenote eq m am e1 `EQ?.eq eq` mdenote eq m am e2) =
monoid_reflect_orig #a eq m am e1 e2 | {
"file_name": "ulib/FStar.Tactics.CanonCommMonoidSimple.Equiv.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 38,
"end_line": 266,
"start_col": 0,
"start_line": 263
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Tactics.CanonCommMonoidSimple.Equiv
open FStar.Algebra.CommMonoid.Equiv
open FStar.List
open FStar.Classical
open FStar.Tactics.CanonCommSwaps
open FStar.Tactics.V2
let term_eq = FStar.Tactics.term_eq_old
(* A simple expression canonizer for commutative monoids (working up to
some given equivalence relation as opposed to just propositional equality).
For a canonizer with more features see FStar.Tactics.CanonCommMonoid.fst.
Based on FStar.Tactics.CanonCommMonoidSimple.fst
*)
(* Only dump when debugging is on *)
//let dump m = if debugging () then dump m
(***** Expression syntax *)
// GM: ugh, we had `nat`, but then we get bitten by lack
// of subtyping over datatypes when we typecheck the amap term
// we generate (see convert_am).
let atom : eqtype = int
type exp : Type =
| Unit : exp
| Mult : exp -> exp -> exp
| Atom : atom -> exp
let rec exp_to_string (e:exp) : string =
match e with
| Unit -> "Unit"
| Atom x -> "Atom " ^ string_of_int (x <: atom)
| Mult e1 e2 -> "Mult (" ^ exp_to_string e1
^ ") (" ^ exp_to_string e2 ^ ")"
(***** Expression denotation *)
// Use a map that stores for each atom
// (1) its denotation that should be treated abstractly (type a) and
// (2) user-specified extra information depending on its term (type b)
let amap (a:Type) = list (atom * a) * a
let const (#a:Type) (xa:a) : amap a = ([], xa)
let select (#a:Type) (x:atom) (am:amap a) : Tot a =
match assoc #atom #a x (fst am) with
| Some a -> a
| _ -> snd am
let update (#a:Type) (x:atom) (xa:a) (am:amap a) : amap a =
(x, xa)::fst am, snd am
let rec mdenote (#a:Type u#aa) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : a =
match e with
| Unit -> CM?.unit m
| Atom x -> select x am
| Mult e1 e2 -> CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2)
let rec xsdenote (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) : a =
match xs with
| [] -> CM?.unit m
| [x] -> select x am
| x::xs' -> CM?.mult m (select x am) (xsdenote eq m am xs')
(***** Flattening expressions to lists of atoms *)
let rec flatten (e:exp) : list atom =
match e with
| Unit -> []
| Atom x -> [x]
| Mult e1 e2 -> flatten e1 @ flatten e2
let rec flatten_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs1 xs2:list atom)
: Lemma (xsdenote eq m am (xs1 @ xs2) `EQ?.eq eq` CM?.mult m (xsdenote eq m am xs1)
(xsdenote eq m am xs2)) =
match xs1 with
| [] ->
CM?.identity m (xsdenote eq m am xs2);
EQ?.symmetry eq (CM?.mult m (CM?.unit m) (xsdenote eq m am xs2)) (xsdenote eq m am xs2)
| [x] -> (
if (Nil? xs2)
then (right_identity eq m (select x am);
EQ?.symmetry eq (CM?.mult m (select x am) (CM?.unit m)) (select x am))
else EQ?.reflexivity eq (CM?.mult m (xsdenote eq m am [x]) (xsdenote eq m am xs2)))
| x::xs1' ->
flatten_correct_aux eq m am xs1' xs2;
EQ?.reflexivity eq (select x am);
CM?.congruence m (select x am) (xsdenote eq m am (xs1' @ xs2))
(select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2));
CM?.associativity m (select x am) (xsdenote eq m am xs1') (xsdenote eq m am xs2);
EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2))
(CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)));
EQ?.transitivity eq (CM?.mult m (select x am) (xsdenote eq m am (xs1' @ xs2)))
(CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)))
(CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2))
let rec flatten_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp)
: Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (flatten e)) =
match e with
| Unit -> EQ?.reflexivity eq (CM?.unit m)
| Atom x -> EQ?.reflexivity eq (select x am)
| Mult e1 e2 ->
flatten_correct_aux eq m am (flatten e1) (flatten e2);
EQ?.symmetry eq (xsdenote eq m am (flatten e1 @ flatten e2))
(CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)));
flatten_correct eq m am e1;
flatten_correct eq m am e2;
CM?.congruence m (mdenote eq m am e1) (mdenote eq m am e2)
(xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2));
EQ?.transitivity eq (CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2))
(CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)))
(xsdenote eq m am (flatten e1 @ flatten e2))
(***** Permuting the lists of atoms
by swapping adjacent elements *)
let permute = list atom -> list atom
// high-level correctness criterion for permutations
let permute_correct (p:permute) =
#a:Type -> eq:equiv a -> m:cm a eq -> am:amap a -> xs:list atom ->
Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs))
// sufficient condition:
// permutation has to be expressible as swaps of adjacent list elements
// In the general case, an arbitrary permutation can be done via swaps.
// (see FStar.Tactics.CanonCommSwaps for a proof)
let rec apply_swap_aux_correct (#a:Type) (n:nat) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (s:swap (length xs + n))
: Lemma (requires True)
(ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap_aux n xs s)))
(decreases xs) =
match xs with
| [] -> EQ?.reflexivity eq (CM?.unit m)
| [x] -> EQ?.reflexivity eq (select x am)
| [x1;x2] ->
if n = (s <: nat)
then CM?.commutativity m (select x1 am) (select x2 am)
else EQ?.reflexivity eq (xsdenote eq m am [x1;x2])
| x1 :: x2 :: xs' ->
if n = (s <: nat)
then (
CM?.associativity m (select x1 am) (select x2 am) (xsdenote eq m am xs');
EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs'))
(CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')));
CM?.commutativity m (select x1 am) (select x2 am);
EQ?.reflexivity eq (xsdenote eq m am xs');
CM?.congruence m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs')
(CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs');
CM?.associativity m (select x2 am) (select x1 am) (xsdenote eq m am xs');
EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')))
(CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs'))
(CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'));
EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')))
(CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'))
(CM?.mult m (select x2 am) (CM?.mult m (select x1 am) (xsdenote eq m am xs'))))
else (
apply_swap_aux_correct (n+1) eq m am (x2 :: xs') s;
EQ?.reflexivity eq (select x1 am);
CM?.congruence m (select x1 am) (xsdenote eq m am (x2 :: xs'))
(select x1 am) (xsdenote eq m am (apply_swap_aux (n+1) (x2 :: xs') s)))
let apply_swap_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (s:swap (length xs))
: Lemma (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap xs s)))
(decreases xs) =
apply_swap_aux_correct 0 eq m am xs s
let rec apply_swaps_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (ss:list (swap (length xs)))
: Lemma (requires True)
(ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swaps xs ss)))
(decreases ss) =
match ss with
| [] -> EQ?.reflexivity eq (xsdenote eq m am xs)
| s::ss' ->
apply_swap_correct eq m am xs s;
apply_swaps_correct eq m am (apply_swap xs s) ss';
EQ?.transitivity eq (xsdenote eq m am xs)
(xsdenote eq m am (apply_swap xs s))
(xsdenote eq m am (apply_swaps (apply_swap xs s) ss'))
let permute_via_swaps (p:permute) =
(#a:Type) -> (am:amap a) -> xs:list atom ->
Lemma (exists (ss:swaps_for xs). p xs == apply_swaps xs ss)
let permute_via_swaps_correct_aux (p:permute) (pvs:permute_via_swaps p)
(#a:Type) (eq:equiv a)(m:cm a eq) (am:amap a) (xs:list atom)
: Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs)) =
pvs am xs;
assert(exists (ss:swaps_for xs). p xs == apply_swaps xs ss);
exists_elim (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs))
(() <: squash (exists (ss:swaps_for xs). p xs == apply_swaps xs ss))
(fun ss -> apply_swaps_correct eq m am xs ss)
let permute_via_swaps_correct
(p:permute) (pvs:permute_via_swaps p) : permute_correct p =
fun #a -> permute_via_swaps_correct_aux p pvs #a
(***** Sorting atoms is a correct permutation
(since it can be done by swaps) *)
// Here we sort the variable numbers
let sort : permute = List.Tot.Base.sortWith #int (compare_of_bool (<))
let sort_via_swaps (#a:Type) (am:amap a) (xs:list atom)
: Lemma (exists (ss:swaps_for xs). sort xs == apply_swaps xs ss)
= List.Tot.Properties.sortWith_permutation #int (compare_of_bool (<)) xs;
let ss = equal_counts_implies_swaps xs (sort xs) in
()
let sort_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom)
: Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (sort xs)) =
permute_via_swaps_correct sort (fun #a am -> sort_via_swaps am) eq m am xs
let sort_correct : permute_correct sort = (fun #a -> sort_correct_aux #a)
(***** Canonicalization tactics *)
let canon (e:exp) = sort (flatten e)
let canon_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp)
: Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (canon e)) =
flatten_correct eq m am e;
sort_correct eq m am (flatten e);
EQ?.transitivity eq (mdenote eq m am e)
(xsdenote eq m am (flatten e))
(xsdenote eq m am (sort (flatten e)))
let monoid_reflect_orig (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e1 e2:exp)
: Lemma (requires (xsdenote eq m am (canon e1) `EQ?.eq eq` xsdenote eq m am (canon e2)))
(ensures (mdenote eq m am e1 `EQ?.eq eq` mdenote eq m am e2)) =
canon_correct eq m am e1;
canon_correct eq m am e2;
EQ?.symmetry eq (mdenote eq m am e2) (xsdenote eq m am (canon e2));
EQ?.transitivity eq (mdenote eq m am e1)
(xsdenote eq m am (canon e1))
(xsdenote eq m am (canon e2));
EQ?.transitivity eq (mdenote eq m am e1)
(xsdenote eq m am (canon e2))
(mdenote eq m am e2) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Tactics.CanonCommSwaps.fst.checked",
"FStar.Tactics.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.Properties.fst.checked",
"FStar.List.Tot.Base.fst.checked",
"FStar.List.Tot.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Algebra.CommMonoid.Equiv.fst.checked"
],
"interface_file": false,
"source_file": "FStar.Tactics.CanonCommMonoidSimple.Equiv.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommSwaps",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Classical",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Algebra.CommMonoid.Equiv",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"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 |
eq: FStar.Algebra.CommMonoid.Equiv.equiv a ->
m: FStar.Algebra.CommMonoid.Equiv.cm a eq ->
am: FStar.Tactics.CanonCommMonoidSimple.Equiv.amap a ->
e1: FStar.Tactics.CanonCommMonoidSimple.Equiv.exp ->
e2: FStar.Tactics.CanonCommMonoidSimple.Equiv.exp ->
_:
Prims.squash (EQ?.eq eq
(FStar.Tactics.CanonCommMonoidSimple.Equiv.xsdenote eq
m
am
(FStar.Tactics.CanonCommMonoidSimple.Equiv.canon e1))
(FStar.Tactics.CanonCommMonoidSimple.Equiv.xsdenote eq
m
am
(FStar.Tactics.CanonCommMonoidSimple.Equiv.canon e2)))
-> Prims.squash (EQ?.eq eq
(FStar.Tactics.CanonCommMonoidSimple.Equiv.mdenote eq m am e1)
(FStar.Tactics.CanonCommMonoidSimple.Equiv.mdenote eq m am e2)) | Prims.Tot | [
"total"
] | [] | [
"FStar.Algebra.CommMonoid.Equiv.equiv",
"FStar.Algebra.CommMonoid.Equiv.cm",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.amap",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.exp",
"Prims.squash",
"FStar.Algebra.CommMonoid.Equiv.__proj__EQ__item__eq",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.xsdenote",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.canon",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.monoid_reflect_orig",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.mdenote"
] | [] | false | false | true | false | false | let monoid_reflect
(#a: Type)
(eq: equiv a)
(m: cm a eq)
(am: amap a)
(e1: exp)
(e2: exp)
(_: squash (EQ?.eq eq (xsdenote eq m am (canon e1)) (xsdenote eq m am (canon e2))))
: squash (EQ?.eq eq (mdenote eq m am e1) (mdenote eq m am e2)) =
| monoid_reflect_orig #a eq m am e1 e2 | false |
FStar.Tactics.CanonCommMonoidSimple.Equiv.fst | FStar.Tactics.CanonCommMonoidSimple.Equiv.canon_correct | val canon_correct (#a: Type) (eq: equiv a) (m: cm a eq) (am: amap a) (e: exp)
: Lemma (EQ?.eq eq (mdenote eq m am e) (xsdenote eq m am (canon e))) | val canon_correct (#a: Type) (eq: equiv a) (m: cm a eq) (am: amap a) (e: exp)
: Lemma (EQ?.eq eq (mdenote eq m am e) (xsdenote eq m am (canon e))) | let canon_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp)
: Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (canon e)) =
flatten_correct eq m am e;
sort_correct eq m am (flatten e);
EQ?.transitivity eq (mdenote eq m am e)
(xsdenote eq m am (flatten e))
(xsdenote eq m am (sort (flatten e))) | {
"file_name": "ulib/FStar.Tactics.CanonCommMonoidSimple.Equiv.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 59,
"end_line": 248,
"start_col": 0,
"start_line": 242
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Tactics.CanonCommMonoidSimple.Equiv
open FStar.Algebra.CommMonoid.Equiv
open FStar.List
open FStar.Classical
open FStar.Tactics.CanonCommSwaps
open FStar.Tactics.V2
let term_eq = FStar.Tactics.term_eq_old
(* A simple expression canonizer for commutative monoids (working up to
some given equivalence relation as opposed to just propositional equality).
For a canonizer with more features see FStar.Tactics.CanonCommMonoid.fst.
Based on FStar.Tactics.CanonCommMonoidSimple.fst
*)
(* Only dump when debugging is on *)
//let dump m = if debugging () then dump m
(***** Expression syntax *)
// GM: ugh, we had `nat`, but then we get bitten by lack
// of subtyping over datatypes when we typecheck the amap term
// we generate (see convert_am).
let atom : eqtype = int
type exp : Type =
| Unit : exp
| Mult : exp -> exp -> exp
| Atom : atom -> exp
let rec exp_to_string (e:exp) : string =
match e with
| Unit -> "Unit"
| Atom x -> "Atom " ^ string_of_int (x <: atom)
| Mult e1 e2 -> "Mult (" ^ exp_to_string e1
^ ") (" ^ exp_to_string e2 ^ ")"
(***** Expression denotation *)
// Use a map that stores for each atom
// (1) its denotation that should be treated abstractly (type a) and
// (2) user-specified extra information depending on its term (type b)
let amap (a:Type) = list (atom * a) * a
let const (#a:Type) (xa:a) : amap a = ([], xa)
let select (#a:Type) (x:atom) (am:amap a) : Tot a =
match assoc #atom #a x (fst am) with
| Some a -> a
| _ -> snd am
let update (#a:Type) (x:atom) (xa:a) (am:amap a) : amap a =
(x, xa)::fst am, snd am
let rec mdenote (#a:Type u#aa) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : a =
match e with
| Unit -> CM?.unit m
| Atom x -> select x am
| Mult e1 e2 -> CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2)
let rec xsdenote (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) : a =
match xs with
| [] -> CM?.unit m
| [x] -> select x am
| x::xs' -> CM?.mult m (select x am) (xsdenote eq m am xs')
(***** Flattening expressions to lists of atoms *)
let rec flatten (e:exp) : list atom =
match e with
| Unit -> []
| Atom x -> [x]
| Mult e1 e2 -> flatten e1 @ flatten e2
let rec flatten_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs1 xs2:list atom)
: Lemma (xsdenote eq m am (xs1 @ xs2) `EQ?.eq eq` CM?.mult m (xsdenote eq m am xs1)
(xsdenote eq m am xs2)) =
match xs1 with
| [] ->
CM?.identity m (xsdenote eq m am xs2);
EQ?.symmetry eq (CM?.mult m (CM?.unit m) (xsdenote eq m am xs2)) (xsdenote eq m am xs2)
| [x] -> (
if (Nil? xs2)
then (right_identity eq m (select x am);
EQ?.symmetry eq (CM?.mult m (select x am) (CM?.unit m)) (select x am))
else EQ?.reflexivity eq (CM?.mult m (xsdenote eq m am [x]) (xsdenote eq m am xs2)))
| x::xs1' ->
flatten_correct_aux eq m am xs1' xs2;
EQ?.reflexivity eq (select x am);
CM?.congruence m (select x am) (xsdenote eq m am (xs1' @ xs2))
(select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2));
CM?.associativity m (select x am) (xsdenote eq m am xs1') (xsdenote eq m am xs2);
EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2))
(CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)));
EQ?.transitivity eq (CM?.mult m (select x am) (xsdenote eq m am (xs1' @ xs2)))
(CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)))
(CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2))
let rec flatten_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp)
: Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (flatten e)) =
match e with
| Unit -> EQ?.reflexivity eq (CM?.unit m)
| Atom x -> EQ?.reflexivity eq (select x am)
| Mult e1 e2 ->
flatten_correct_aux eq m am (flatten e1) (flatten e2);
EQ?.symmetry eq (xsdenote eq m am (flatten e1 @ flatten e2))
(CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)));
flatten_correct eq m am e1;
flatten_correct eq m am e2;
CM?.congruence m (mdenote eq m am e1) (mdenote eq m am e2)
(xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2));
EQ?.transitivity eq (CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2))
(CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)))
(xsdenote eq m am (flatten e1 @ flatten e2))
(***** Permuting the lists of atoms
by swapping adjacent elements *)
let permute = list atom -> list atom
// high-level correctness criterion for permutations
let permute_correct (p:permute) =
#a:Type -> eq:equiv a -> m:cm a eq -> am:amap a -> xs:list atom ->
Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs))
// sufficient condition:
// permutation has to be expressible as swaps of adjacent list elements
// In the general case, an arbitrary permutation can be done via swaps.
// (see FStar.Tactics.CanonCommSwaps for a proof)
let rec apply_swap_aux_correct (#a:Type) (n:nat) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (s:swap (length xs + n))
: Lemma (requires True)
(ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap_aux n xs s)))
(decreases xs) =
match xs with
| [] -> EQ?.reflexivity eq (CM?.unit m)
| [x] -> EQ?.reflexivity eq (select x am)
| [x1;x2] ->
if n = (s <: nat)
then CM?.commutativity m (select x1 am) (select x2 am)
else EQ?.reflexivity eq (xsdenote eq m am [x1;x2])
| x1 :: x2 :: xs' ->
if n = (s <: nat)
then (
CM?.associativity m (select x1 am) (select x2 am) (xsdenote eq m am xs');
EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs'))
(CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')));
CM?.commutativity m (select x1 am) (select x2 am);
EQ?.reflexivity eq (xsdenote eq m am xs');
CM?.congruence m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs')
(CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs');
CM?.associativity m (select x2 am) (select x1 am) (xsdenote eq m am xs');
EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')))
(CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs'))
(CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'));
EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')))
(CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'))
(CM?.mult m (select x2 am) (CM?.mult m (select x1 am) (xsdenote eq m am xs'))))
else (
apply_swap_aux_correct (n+1) eq m am (x2 :: xs') s;
EQ?.reflexivity eq (select x1 am);
CM?.congruence m (select x1 am) (xsdenote eq m am (x2 :: xs'))
(select x1 am) (xsdenote eq m am (apply_swap_aux (n+1) (x2 :: xs') s)))
let apply_swap_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (s:swap (length xs))
: Lemma (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap xs s)))
(decreases xs) =
apply_swap_aux_correct 0 eq m am xs s
let rec apply_swaps_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (ss:list (swap (length xs)))
: Lemma (requires True)
(ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swaps xs ss)))
(decreases ss) =
match ss with
| [] -> EQ?.reflexivity eq (xsdenote eq m am xs)
| s::ss' ->
apply_swap_correct eq m am xs s;
apply_swaps_correct eq m am (apply_swap xs s) ss';
EQ?.transitivity eq (xsdenote eq m am xs)
(xsdenote eq m am (apply_swap xs s))
(xsdenote eq m am (apply_swaps (apply_swap xs s) ss'))
let permute_via_swaps (p:permute) =
(#a:Type) -> (am:amap a) -> xs:list atom ->
Lemma (exists (ss:swaps_for xs). p xs == apply_swaps xs ss)
let permute_via_swaps_correct_aux (p:permute) (pvs:permute_via_swaps p)
(#a:Type) (eq:equiv a)(m:cm a eq) (am:amap a) (xs:list atom)
: Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs)) =
pvs am xs;
assert(exists (ss:swaps_for xs). p xs == apply_swaps xs ss);
exists_elim (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs))
(() <: squash (exists (ss:swaps_for xs). p xs == apply_swaps xs ss))
(fun ss -> apply_swaps_correct eq m am xs ss)
let permute_via_swaps_correct
(p:permute) (pvs:permute_via_swaps p) : permute_correct p =
fun #a -> permute_via_swaps_correct_aux p pvs #a
(***** Sorting atoms is a correct permutation
(since it can be done by swaps) *)
// Here we sort the variable numbers
let sort : permute = List.Tot.Base.sortWith #int (compare_of_bool (<))
let sort_via_swaps (#a:Type) (am:amap a) (xs:list atom)
: Lemma (exists (ss:swaps_for xs). sort xs == apply_swaps xs ss)
= List.Tot.Properties.sortWith_permutation #int (compare_of_bool (<)) xs;
let ss = equal_counts_implies_swaps xs (sort xs) in
()
let sort_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom)
: Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (sort xs)) =
permute_via_swaps_correct sort (fun #a am -> sort_via_swaps am) eq m am xs
let sort_correct : permute_correct sort = (fun #a -> sort_correct_aux #a)
(***** Canonicalization tactics *)
let canon (e:exp) = sort (flatten e) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Tactics.CanonCommSwaps.fst.checked",
"FStar.Tactics.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.Properties.fst.checked",
"FStar.List.Tot.Base.fst.checked",
"FStar.List.Tot.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Algebra.CommMonoid.Equiv.fst.checked"
],
"interface_file": false,
"source_file": "FStar.Tactics.CanonCommMonoidSimple.Equiv.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommSwaps",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Classical",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Algebra.CommMonoid.Equiv",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"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 |
eq: FStar.Algebra.CommMonoid.Equiv.equiv a ->
m: FStar.Algebra.CommMonoid.Equiv.cm a eq ->
am: FStar.Tactics.CanonCommMonoidSimple.Equiv.amap a ->
e: FStar.Tactics.CanonCommMonoidSimple.Equiv.exp
-> FStar.Pervasives.Lemma
(ensures
EQ?.eq eq
(FStar.Tactics.CanonCommMonoidSimple.Equiv.mdenote eq m am e)
(FStar.Tactics.CanonCommMonoidSimple.Equiv.xsdenote eq
m
am
(FStar.Tactics.CanonCommMonoidSimple.Equiv.canon e))) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"FStar.Algebra.CommMonoid.Equiv.equiv",
"FStar.Algebra.CommMonoid.Equiv.cm",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.amap",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.exp",
"FStar.Algebra.CommMonoid.Equiv.__proj__EQ__item__transitivity",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.mdenote",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.xsdenote",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.flatten",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.sort",
"Prims.unit",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.sort_correct",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.flatten_correct",
"Prims.l_True",
"Prims.squash",
"FStar.Algebra.CommMonoid.Equiv.__proj__EQ__item__eq",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.canon",
"Prims.Nil",
"FStar.Pervasives.pattern"
] | [] | true | false | true | false | false | let canon_correct (#a: Type) (eq: equiv a) (m: cm a eq) (am: amap a) (e: exp)
: Lemma (EQ?.eq eq (mdenote eq m am e) (xsdenote eq m am (canon e))) =
| flatten_correct eq m am e;
sort_correct eq m am (flatten e);
EQ?.transitivity eq
(mdenote eq m am e)
(xsdenote eq m am (flatten e))
(xsdenote eq m am (sort (flatten e))) | false |
FStar.Tactics.CanonCommMonoidSimple.Equiv.fst | FStar.Tactics.CanonCommMonoidSimple.Equiv.fatom | val fatom (t: term) (ts: list term) (am: amap term) : Tac (exp * list term * amap term) | val fatom (t: term) (ts: list term) (am: amap term) : Tac (exp * list term * amap term) | let fatom (t:term) (ts:list term) (am:amap term) : Tac (exp * list term * amap term) =
match where t ts with
| Some v -> (Atom v, ts, am)
| None ->
let vfresh = length ts in
let t = norm_term [iota; zeta] t in
(Atom vfresh, ts @ [t], update vfresh t am) | {
"file_name": "ulib/FStar.Tactics.CanonCommMonoidSimple.Equiv.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 47,
"end_line": 283,
"start_col": 0,
"start_line": 277
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Tactics.CanonCommMonoidSimple.Equiv
open FStar.Algebra.CommMonoid.Equiv
open FStar.List
open FStar.Classical
open FStar.Tactics.CanonCommSwaps
open FStar.Tactics.V2
let term_eq = FStar.Tactics.term_eq_old
(* A simple expression canonizer for commutative monoids (working up to
some given equivalence relation as opposed to just propositional equality).
For a canonizer with more features see FStar.Tactics.CanonCommMonoid.fst.
Based on FStar.Tactics.CanonCommMonoidSimple.fst
*)
(* Only dump when debugging is on *)
//let dump m = if debugging () then dump m
(***** Expression syntax *)
// GM: ugh, we had `nat`, but then we get bitten by lack
// of subtyping over datatypes when we typecheck the amap term
// we generate (see convert_am).
let atom : eqtype = int
type exp : Type =
| Unit : exp
| Mult : exp -> exp -> exp
| Atom : atom -> exp
let rec exp_to_string (e:exp) : string =
match e with
| Unit -> "Unit"
| Atom x -> "Atom " ^ string_of_int (x <: atom)
| Mult e1 e2 -> "Mult (" ^ exp_to_string e1
^ ") (" ^ exp_to_string e2 ^ ")"
(***** Expression denotation *)
// Use a map that stores for each atom
// (1) its denotation that should be treated abstractly (type a) and
// (2) user-specified extra information depending on its term (type b)
let amap (a:Type) = list (atom * a) * a
let const (#a:Type) (xa:a) : amap a = ([], xa)
let select (#a:Type) (x:atom) (am:amap a) : Tot a =
match assoc #atom #a x (fst am) with
| Some a -> a
| _ -> snd am
let update (#a:Type) (x:atom) (xa:a) (am:amap a) : amap a =
(x, xa)::fst am, snd am
let rec mdenote (#a:Type u#aa) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : a =
match e with
| Unit -> CM?.unit m
| Atom x -> select x am
| Mult e1 e2 -> CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2)
let rec xsdenote (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) : a =
match xs with
| [] -> CM?.unit m
| [x] -> select x am
| x::xs' -> CM?.mult m (select x am) (xsdenote eq m am xs')
(***** Flattening expressions to lists of atoms *)
let rec flatten (e:exp) : list atom =
match e with
| Unit -> []
| Atom x -> [x]
| Mult e1 e2 -> flatten e1 @ flatten e2
let rec flatten_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs1 xs2:list atom)
: Lemma (xsdenote eq m am (xs1 @ xs2) `EQ?.eq eq` CM?.mult m (xsdenote eq m am xs1)
(xsdenote eq m am xs2)) =
match xs1 with
| [] ->
CM?.identity m (xsdenote eq m am xs2);
EQ?.symmetry eq (CM?.mult m (CM?.unit m) (xsdenote eq m am xs2)) (xsdenote eq m am xs2)
| [x] -> (
if (Nil? xs2)
then (right_identity eq m (select x am);
EQ?.symmetry eq (CM?.mult m (select x am) (CM?.unit m)) (select x am))
else EQ?.reflexivity eq (CM?.mult m (xsdenote eq m am [x]) (xsdenote eq m am xs2)))
| x::xs1' ->
flatten_correct_aux eq m am xs1' xs2;
EQ?.reflexivity eq (select x am);
CM?.congruence m (select x am) (xsdenote eq m am (xs1' @ xs2))
(select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2));
CM?.associativity m (select x am) (xsdenote eq m am xs1') (xsdenote eq m am xs2);
EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2))
(CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)));
EQ?.transitivity eq (CM?.mult m (select x am) (xsdenote eq m am (xs1' @ xs2)))
(CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)))
(CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2))
let rec flatten_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp)
: Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (flatten e)) =
match e with
| Unit -> EQ?.reflexivity eq (CM?.unit m)
| Atom x -> EQ?.reflexivity eq (select x am)
| Mult e1 e2 ->
flatten_correct_aux eq m am (flatten e1) (flatten e2);
EQ?.symmetry eq (xsdenote eq m am (flatten e1 @ flatten e2))
(CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)));
flatten_correct eq m am e1;
flatten_correct eq m am e2;
CM?.congruence m (mdenote eq m am e1) (mdenote eq m am e2)
(xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2));
EQ?.transitivity eq (CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2))
(CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)))
(xsdenote eq m am (flatten e1 @ flatten e2))
(***** Permuting the lists of atoms
by swapping adjacent elements *)
let permute = list atom -> list atom
// high-level correctness criterion for permutations
let permute_correct (p:permute) =
#a:Type -> eq:equiv a -> m:cm a eq -> am:amap a -> xs:list atom ->
Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs))
// sufficient condition:
// permutation has to be expressible as swaps of adjacent list elements
// In the general case, an arbitrary permutation can be done via swaps.
// (see FStar.Tactics.CanonCommSwaps for a proof)
let rec apply_swap_aux_correct (#a:Type) (n:nat) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (s:swap (length xs + n))
: Lemma (requires True)
(ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap_aux n xs s)))
(decreases xs) =
match xs with
| [] -> EQ?.reflexivity eq (CM?.unit m)
| [x] -> EQ?.reflexivity eq (select x am)
| [x1;x2] ->
if n = (s <: nat)
then CM?.commutativity m (select x1 am) (select x2 am)
else EQ?.reflexivity eq (xsdenote eq m am [x1;x2])
| x1 :: x2 :: xs' ->
if n = (s <: nat)
then (
CM?.associativity m (select x1 am) (select x2 am) (xsdenote eq m am xs');
EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs'))
(CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')));
CM?.commutativity m (select x1 am) (select x2 am);
EQ?.reflexivity eq (xsdenote eq m am xs');
CM?.congruence m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs')
(CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs');
CM?.associativity m (select x2 am) (select x1 am) (xsdenote eq m am xs');
EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')))
(CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs'))
(CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'));
EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')))
(CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'))
(CM?.mult m (select x2 am) (CM?.mult m (select x1 am) (xsdenote eq m am xs'))))
else (
apply_swap_aux_correct (n+1) eq m am (x2 :: xs') s;
EQ?.reflexivity eq (select x1 am);
CM?.congruence m (select x1 am) (xsdenote eq m am (x2 :: xs'))
(select x1 am) (xsdenote eq m am (apply_swap_aux (n+1) (x2 :: xs') s)))
let apply_swap_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (s:swap (length xs))
: Lemma (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap xs s)))
(decreases xs) =
apply_swap_aux_correct 0 eq m am xs s
let rec apply_swaps_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (ss:list (swap (length xs)))
: Lemma (requires True)
(ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swaps xs ss)))
(decreases ss) =
match ss with
| [] -> EQ?.reflexivity eq (xsdenote eq m am xs)
| s::ss' ->
apply_swap_correct eq m am xs s;
apply_swaps_correct eq m am (apply_swap xs s) ss';
EQ?.transitivity eq (xsdenote eq m am xs)
(xsdenote eq m am (apply_swap xs s))
(xsdenote eq m am (apply_swaps (apply_swap xs s) ss'))
let permute_via_swaps (p:permute) =
(#a:Type) -> (am:amap a) -> xs:list atom ->
Lemma (exists (ss:swaps_for xs). p xs == apply_swaps xs ss)
let permute_via_swaps_correct_aux (p:permute) (pvs:permute_via_swaps p)
(#a:Type) (eq:equiv a)(m:cm a eq) (am:amap a) (xs:list atom)
: Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs)) =
pvs am xs;
assert(exists (ss:swaps_for xs). p xs == apply_swaps xs ss);
exists_elim (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs))
(() <: squash (exists (ss:swaps_for xs). p xs == apply_swaps xs ss))
(fun ss -> apply_swaps_correct eq m am xs ss)
let permute_via_swaps_correct
(p:permute) (pvs:permute_via_swaps p) : permute_correct p =
fun #a -> permute_via_swaps_correct_aux p pvs #a
(***** Sorting atoms is a correct permutation
(since it can be done by swaps) *)
// Here we sort the variable numbers
let sort : permute = List.Tot.Base.sortWith #int (compare_of_bool (<))
let sort_via_swaps (#a:Type) (am:amap a) (xs:list atom)
: Lemma (exists (ss:swaps_for xs). sort xs == apply_swaps xs ss)
= List.Tot.Properties.sortWith_permutation #int (compare_of_bool (<)) xs;
let ss = equal_counts_implies_swaps xs (sort xs) in
()
let sort_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom)
: Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (sort xs)) =
permute_via_swaps_correct sort (fun #a am -> sort_via_swaps am) eq m am xs
let sort_correct : permute_correct sort = (fun #a -> sort_correct_aux #a)
(***** Canonicalization tactics *)
let canon (e:exp) = sort (flatten e)
let canon_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp)
: Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (canon e)) =
flatten_correct eq m am e;
sort_correct eq m am (flatten e);
EQ?.transitivity eq (mdenote eq m am e)
(xsdenote eq m am (flatten e))
(xsdenote eq m am (sort (flatten e)))
let monoid_reflect_orig (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e1 e2:exp)
: Lemma (requires (xsdenote eq m am (canon e1) `EQ?.eq eq` xsdenote eq m am (canon e2)))
(ensures (mdenote eq m am e1 `EQ?.eq eq` mdenote eq m am e2)) =
canon_correct eq m am e1;
canon_correct eq m am e2;
EQ?.symmetry eq (mdenote eq m am e2) (xsdenote eq m am (canon e2));
EQ?.transitivity eq (mdenote eq m am e1)
(xsdenote eq m am (canon e1))
(xsdenote eq m am (canon e2));
EQ?.transitivity eq (mdenote eq m am e1)
(xsdenote eq m am (canon e2))
(mdenote eq m am e2)
let monoid_reflect (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e1 e2:exp)
(_ : squash (xsdenote eq m am (canon e1) `EQ?.eq eq` xsdenote eq m am (canon e2)))
: squash (mdenote eq m am e1 `EQ?.eq eq` mdenote eq m am e2) =
monoid_reflect_orig #a eq m am e1 e2
(* Finds the position of first occurrence of x in xs.
This is now specialized to terms and their funny term_eq. *)
let rec where_aux (n:nat) (x:term) (xs:list term) :
Tac (option nat) =
match xs with
| [] -> None
| x'::xs' -> if term_eq x x' then Some n else where_aux (n+1) x xs'
let where = where_aux 0 | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Tactics.CanonCommSwaps.fst.checked",
"FStar.Tactics.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.Properties.fst.checked",
"FStar.List.Tot.Base.fst.checked",
"FStar.List.Tot.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Algebra.CommMonoid.Equiv.fst.checked"
],
"interface_file": false,
"source_file": "FStar.Tactics.CanonCommMonoidSimple.Equiv.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommSwaps",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Classical",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Algebra.CommMonoid.Equiv",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"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 |
t: FStar.Tactics.NamedView.term ->
ts: Prims.list FStar.Tactics.NamedView.term ->
am: FStar.Tactics.CanonCommMonoidSimple.Equiv.amap FStar.Tactics.NamedView.term
-> FStar.Tactics.Effect.Tac
((FStar.Tactics.CanonCommMonoidSimple.Equiv.exp * Prims.list FStar.Tactics.NamedView.term) *
FStar.Tactics.CanonCommMonoidSimple.Equiv.amap FStar.Tactics.NamedView.term) | FStar.Tactics.Effect.Tac | [] | [] | [
"FStar.Tactics.NamedView.term",
"Prims.list",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.amap",
"Prims.nat",
"FStar.Pervasives.Native.Mktuple3",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.exp",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.Atom",
"FStar.Pervasives.Native.tuple3",
"FStar.List.Tot.Base.op_At",
"Prims.Cons",
"Prims.Nil",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.update",
"FStar.Tactics.V2.Derived.norm_term",
"FStar.Pervasives.norm_step",
"FStar.Pervasives.iota",
"FStar.Pervasives.zeta",
"FStar.List.Tot.Base.length",
"FStar.Pervasives.Native.option",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.where"
] | [] | false | true | false | false | false | let fatom (t: term) (ts: list term) (am: amap term) : Tac (exp * list term * amap term) =
| match where t ts with
| Some v -> (Atom v, ts, am)
| None ->
let vfresh = length ts in
let t = norm_term [iota; zeta] t in
(Atom vfresh, ts @ [t], update vfresh t am) | false |
FStar.Tactics.CanonCommMonoidSimple.Equiv.fst | FStar.Tactics.CanonCommMonoidSimple.Equiv.where_aux | val where_aux (n: nat) (x: term) (xs: list term) : Tac (option nat) | val where_aux (n: nat) (x: term) (xs: list term) : Tac (option nat) | let rec where_aux (n:nat) (x:term) (xs:list term) :
Tac (option nat) =
match xs with
| [] -> None
| x'::xs' -> if term_eq x x' then Some n else where_aux (n+1) x xs' | {
"file_name": "ulib/FStar.Tactics.CanonCommMonoidSimple.Equiv.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 69,
"end_line": 274,
"start_col": 0,
"start_line": 270
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Tactics.CanonCommMonoidSimple.Equiv
open FStar.Algebra.CommMonoid.Equiv
open FStar.List
open FStar.Classical
open FStar.Tactics.CanonCommSwaps
open FStar.Tactics.V2
let term_eq = FStar.Tactics.term_eq_old
(* A simple expression canonizer for commutative monoids (working up to
some given equivalence relation as opposed to just propositional equality).
For a canonizer with more features see FStar.Tactics.CanonCommMonoid.fst.
Based on FStar.Tactics.CanonCommMonoidSimple.fst
*)
(* Only dump when debugging is on *)
//let dump m = if debugging () then dump m
(***** Expression syntax *)
// GM: ugh, we had `nat`, but then we get bitten by lack
// of subtyping over datatypes when we typecheck the amap term
// we generate (see convert_am).
let atom : eqtype = int
type exp : Type =
| Unit : exp
| Mult : exp -> exp -> exp
| Atom : atom -> exp
let rec exp_to_string (e:exp) : string =
match e with
| Unit -> "Unit"
| Atom x -> "Atom " ^ string_of_int (x <: atom)
| Mult e1 e2 -> "Mult (" ^ exp_to_string e1
^ ") (" ^ exp_to_string e2 ^ ")"
(***** Expression denotation *)
// Use a map that stores for each atom
// (1) its denotation that should be treated abstractly (type a) and
// (2) user-specified extra information depending on its term (type b)
let amap (a:Type) = list (atom * a) * a
let const (#a:Type) (xa:a) : amap a = ([], xa)
let select (#a:Type) (x:atom) (am:amap a) : Tot a =
match assoc #atom #a x (fst am) with
| Some a -> a
| _ -> snd am
let update (#a:Type) (x:atom) (xa:a) (am:amap a) : amap a =
(x, xa)::fst am, snd am
let rec mdenote (#a:Type u#aa) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : a =
match e with
| Unit -> CM?.unit m
| Atom x -> select x am
| Mult e1 e2 -> CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2)
let rec xsdenote (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) : a =
match xs with
| [] -> CM?.unit m
| [x] -> select x am
| x::xs' -> CM?.mult m (select x am) (xsdenote eq m am xs')
(***** Flattening expressions to lists of atoms *)
let rec flatten (e:exp) : list atom =
match e with
| Unit -> []
| Atom x -> [x]
| Mult e1 e2 -> flatten e1 @ flatten e2
let rec flatten_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs1 xs2:list atom)
: Lemma (xsdenote eq m am (xs1 @ xs2) `EQ?.eq eq` CM?.mult m (xsdenote eq m am xs1)
(xsdenote eq m am xs2)) =
match xs1 with
| [] ->
CM?.identity m (xsdenote eq m am xs2);
EQ?.symmetry eq (CM?.mult m (CM?.unit m) (xsdenote eq m am xs2)) (xsdenote eq m am xs2)
| [x] -> (
if (Nil? xs2)
then (right_identity eq m (select x am);
EQ?.symmetry eq (CM?.mult m (select x am) (CM?.unit m)) (select x am))
else EQ?.reflexivity eq (CM?.mult m (xsdenote eq m am [x]) (xsdenote eq m am xs2)))
| x::xs1' ->
flatten_correct_aux eq m am xs1' xs2;
EQ?.reflexivity eq (select x am);
CM?.congruence m (select x am) (xsdenote eq m am (xs1' @ xs2))
(select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2));
CM?.associativity m (select x am) (xsdenote eq m am xs1') (xsdenote eq m am xs2);
EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2))
(CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)));
EQ?.transitivity eq (CM?.mult m (select x am) (xsdenote eq m am (xs1' @ xs2)))
(CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)))
(CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2))
let rec flatten_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp)
: Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (flatten e)) =
match e with
| Unit -> EQ?.reflexivity eq (CM?.unit m)
| Atom x -> EQ?.reflexivity eq (select x am)
| Mult e1 e2 ->
flatten_correct_aux eq m am (flatten e1) (flatten e2);
EQ?.symmetry eq (xsdenote eq m am (flatten e1 @ flatten e2))
(CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)));
flatten_correct eq m am e1;
flatten_correct eq m am e2;
CM?.congruence m (mdenote eq m am e1) (mdenote eq m am e2)
(xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2));
EQ?.transitivity eq (CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2))
(CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)))
(xsdenote eq m am (flatten e1 @ flatten e2))
(***** Permuting the lists of atoms
by swapping adjacent elements *)
let permute = list atom -> list atom
// high-level correctness criterion for permutations
let permute_correct (p:permute) =
#a:Type -> eq:equiv a -> m:cm a eq -> am:amap a -> xs:list atom ->
Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs))
// sufficient condition:
// permutation has to be expressible as swaps of adjacent list elements
// In the general case, an arbitrary permutation can be done via swaps.
// (see FStar.Tactics.CanonCommSwaps for a proof)
let rec apply_swap_aux_correct (#a:Type) (n:nat) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (s:swap (length xs + n))
: Lemma (requires True)
(ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap_aux n xs s)))
(decreases xs) =
match xs with
| [] -> EQ?.reflexivity eq (CM?.unit m)
| [x] -> EQ?.reflexivity eq (select x am)
| [x1;x2] ->
if n = (s <: nat)
then CM?.commutativity m (select x1 am) (select x2 am)
else EQ?.reflexivity eq (xsdenote eq m am [x1;x2])
| x1 :: x2 :: xs' ->
if n = (s <: nat)
then (
CM?.associativity m (select x1 am) (select x2 am) (xsdenote eq m am xs');
EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs'))
(CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')));
CM?.commutativity m (select x1 am) (select x2 am);
EQ?.reflexivity eq (xsdenote eq m am xs');
CM?.congruence m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs')
(CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs');
CM?.associativity m (select x2 am) (select x1 am) (xsdenote eq m am xs');
EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')))
(CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs'))
(CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'));
EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')))
(CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'))
(CM?.mult m (select x2 am) (CM?.mult m (select x1 am) (xsdenote eq m am xs'))))
else (
apply_swap_aux_correct (n+1) eq m am (x2 :: xs') s;
EQ?.reflexivity eq (select x1 am);
CM?.congruence m (select x1 am) (xsdenote eq m am (x2 :: xs'))
(select x1 am) (xsdenote eq m am (apply_swap_aux (n+1) (x2 :: xs') s)))
let apply_swap_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (s:swap (length xs))
: Lemma (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap xs s)))
(decreases xs) =
apply_swap_aux_correct 0 eq m am xs s
let rec apply_swaps_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (ss:list (swap (length xs)))
: Lemma (requires True)
(ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swaps xs ss)))
(decreases ss) =
match ss with
| [] -> EQ?.reflexivity eq (xsdenote eq m am xs)
| s::ss' ->
apply_swap_correct eq m am xs s;
apply_swaps_correct eq m am (apply_swap xs s) ss';
EQ?.transitivity eq (xsdenote eq m am xs)
(xsdenote eq m am (apply_swap xs s))
(xsdenote eq m am (apply_swaps (apply_swap xs s) ss'))
let permute_via_swaps (p:permute) =
(#a:Type) -> (am:amap a) -> xs:list atom ->
Lemma (exists (ss:swaps_for xs). p xs == apply_swaps xs ss)
let permute_via_swaps_correct_aux (p:permute) (pvs:permute_via_swaps p)
(#a:Type) (eq:equiv a)(m:cm a eq) (am:amap a) (xs:list atom)
: Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs)) =
pvs am xs;
assert(exists (ss:swaps_for xs). p xs == apply_swaps xs ss);
exists_elim (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs))
(() <: squash (exists (ss:swaps_for xs). p xs == apply_swaps xs ss))
(fun ss -> apply_swaps_correct eq m am xs ss)
let permute_via_swaps_correct
(p:permute) (pvs:permute_via_swaps p) : permute_correct p =
fun #a -> permute_via_swaps_correct_aux p pvs #a
(***** Sorting atoms is a correct permutation
(since it can be done by swaps) *)
// Here we sort the variable numbers
let sort : permute = List.Tot.Base.sortWith #int (compare_of_bool (<))
let sort_via_swaps (#a:Type) (am:amap a) (xs:list atom)
: Lemma (exists (ss:swaps_for xs). sort xs == apply_swaps xs ss)
= List.Tot.Properties.sortWith_permutation #int (compare_of_bool (<)) xs;
let ss = equal_counts_implies_swaps xs (sort xs) in
()
let sort_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom)
: Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (sort xs)) =
permute_via_swaps_correct sort (fun #a am -> sort_via_swaps am) eq m am xs
let sort_correct : permute_correct sort = (fun #a -> sort_correct_aux #a)
(***** Canonicalization tactics *)
let canon (e:exp) = sort (flatten e)
let canon_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp)
: Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (canon e)) =
flatten_correct eq m am e;
sort_correct eq m am (flatten e);
EQ?.transitivity eq (mdenote eq m am e)
(xsdenote eq m am (flatten e))
(xsdenote eq m am (sort (flatten e)))
let monoid_reflect_orig (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e1 e2:exp)
: Lemma (requires (xsdenote eq m am (canon e1) `EQ?.eq eq` xsdenote eq m am (canon e2)))
(ensures (mdenote eq m am e1 `EQ?.eq eq` mdenote eq m am e2)) =
canon_correct eq m am e1;
canon_correct eq m am e2;
EQ?.symmetry eq (mdenote eq m am e2) (xsdenote eq m am (canon e2));
EQ?.transitivity eq (mdenote eq m am e1)
(xsdenote eq m am (canon e1))
(xsdenote eq m am (canon e2));
EQ?.transitivity eq (mdenote eq m am e1)
(xsdenote eq m am (canon e2))
(mdenote eq m am e2)
let monoid_reflect (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e1 e2:exp)
(_ : squash (xsdenote eq m am (canon e1) `EQ?.eq eq` xsdenote eq m am (canon e2)))
: squash (mdenote eq m am e1 `EQ?.eq eq` mdenote eq m am e2) =
monoid_reflect_orig #a eq m am e1 e2
(* Finds the position of first occurrence of x in xs. | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Tactics.CanonCommSwaps.fst.checked",
"FStar.Tactics.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.Properties.fst.checked",
"FStar.List.Tot.Base.fst.checked",
"FStar.List.Tot.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Algebra.CommMonoid.Equiv.fst.checked"
],
"interface_file": false,
"source_file": "FStar.Tactics.CanonCommMonoidSimple.Equiv.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommSwaps",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Classical",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Algebra.CommMonoid.Equiv",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"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 -> x: FStar.Tactics.NamedView.term -> xs: Prims.list FStar.Tactics.NamedView.term
-> FStar.Tactics.Effect.Tac (FStar.Pervasives.Native.option Prims.nat) | FStar.Tactics.Effect.Tac | [] | [] | [
"Prims.nat",
"FStar.Tactics.NamedView.term",
"Prims.list",
"FStar.Pervasives.Native.None",
"FStar.Pervasives.Native.option",
"FStar.Pervasives.Native.Some",
"Prims.bool",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.where_aux",
"Prims.op_Addition",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.term_eq"
] | [
"recursion"
] | false | true | false | false | false | let rec where_aux (n: nat) (x: term) (xs: list term) : Tac (option nat) =
| match xs with
| [] -> None
| x' :: xs' -> if term_eq x x' then Some n else where_aux (n + 1) x xs' | false |
FStar.Tactics.CanonCommMonoidSimple.Equiv.fst | FStar.Tactics.CanonCommMonoidSimple.Equiv.convert_map | val convert_map (m: list (atom * term)) : term | val convert_map (m: list (atom * term)) : term | let rec convert_map (m : list (atom * term)) : term =
match m with
| [] -> `[]
| (a, t)::ps ->
let a = pack (Tv_Const (C_Int a)) in
(* let t = norm_term [delta] t in *)
`((`#a, (`#t)) :: (`#(convert_map ps))) | {
"file_name": "ulib/FStar.Tactics.CanonCommMonoidSimple.Equiv.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 45,
"end_line": 322,
"start_col": 0,
"start_line": 316
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Tactics.CanonCommMonoidSimple.Equiv
open FStar.Algebra.CommMonoid.Equiv
open FStar.List
open FStar.Classical
open FStar.Tactics.CanonCommSwaps
open FStar.Tactics.V2
let term_eq = FStar.Tactics.term_eq_old
(* A simple expression canonizer for commutative monoids (working up to
some given equivalence relation as opposed to just propositional equality).
For a canonizer with more features see FStar.Tactics.CanonCommMonoid.fst.
Based on FStar.Tactics.CanonCommMonoidSimple.fst
*)
(* Only dump when debugging is on *)
//let dump m = if debugging () then dump m
(***** Expression syntax *)
// GM: ugh, we had `nat`, but then we get bitten by lack
// of subtyping over datatypes when we typecheck the amap term
// we generate (see convert_am).
let atom : eqtype = int
type exp : Type =
| Unit : exp
| Mult : exp -> exp -> exp
| Atom : atom -> exp
let rec exp_to_string (e:exp) : string =
match e with
| Unit -> "Unit"
| Atom x -> "Atom " ^ string_of_int (x <: atom)
| Mult e1 e2 -> "Mult (" ^ exp_to_string e1
^ ") (" ^ exp_to_string e2 ^ ")"
(***** Expression denotation *)
// Use a map that stores for each atom
// (1) its denotation that should be treated abstractly (type a) and
// (2) user-specified extra information depending on its term (type b)
let amap (a:Type) = list (atom * a) * a
let const (#a:Type) (xa:a) : amap a = ([], xa)
let select (#a:Type) (x:atom) (am:amap a) : Tot a =
match assoc #atom #a x (fst am) with
| Some a -> a
| _ -> snd am
let update (#a:Type) (x:atom) (xa:a) (am:amap a) : amap a =
(x, xa)::fst am, snd am
let rec mdenote (#a:Type u#aa) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : a =
match e with
| Unit -> CM?.unit m
| Atom x -> select x am
| Mult e1 e2 -> CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2)
let rec xsdenote (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) : a =
match xs with
| [] -> CM?.unit m
| [x] -> select x am
| x::xs' -> CM?.mult m (select x am) (xsdenote eq m am xs')
(***** Flattening expressions to lists of atoms *)
let rec flatten (e:exp) : list atom =
match e with
| Unit -> []
| Atom x -> [x]
| Mult e1 e2 -> flatten e1 @ flatten e2
let rec flatten_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs1 xs2:list atom)
: Lemma (xsdenote eq m am (xs1 @ xs2) `EQ?.eq eq` CM?.mult m (xsdenote eq m am xs1)
(xsdenote eq m am xs2)) =
match xs1 with
| [] ->
CM?.identity m (xsdenote eq m am xs2);
EQ?.symmetry eq (CM?.mult m (CM?.unit m) (xsdenote eq m am xs2)) (xsdenote eq m am xs2)
| [x] -> (
if (Nil? xs2)
then (right_identity eq m (select x am);
EQ?.symmetry eq (CM?.mult m (select x am) (CM?.unit m)) (select x am))
else EQ?.reflexivity eq (CM?.mult m (xsdenote eq m am [x]) (xsdenote eq m am xs2)))
| x::xs1' ->
flatten_correct_aux eq m am xs1' xs2;
EQ?.reflexivity eq (select x am);
CM?.congruence m (select x am) (xsdenote eq m am (xs1' @ xs2))
(select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2));
CM?.associativity m (select x am) (xsdenote eq m am xs1') (xsdenote eq m am xs2);
EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2))
(CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)));
EQ?.transitivity eq (CM?.mult m (select x am) (xsdenote eq m am (xs1' @ xs2)))
(CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)))
(CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2))
let rec flatten_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp)
: Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (flatten e)) =
match e with
| Unit -> EQ?.reflexivity eq (CM?.unit m)
| Atom x -> EQ?.reflexivity eq (select x am)
| Mult e1 e2 ->
flatten_correct_aux eq m am (flatten e1) (flatten e2);
EQ?.symmetry eq (xsdenote eq m am (flatten e1 @ flatten e2))
(CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)));
flatten_correct eq m am e1;
flatten_correct eq m am e2;
CM?.congruence m (mdenote eq m am e1) (mdenote eq m am e2)
(xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2));
EQ?.transitivity eq (CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2))
(CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)))
(xsdenote eq m am (flatten e1 @ flatten e2))
(***** Permuting the lists of atoms
by swapping adjacent elements *)
let permute = list atom -> list atom
// high-level correctness criterion for permutations
let permute_correct (p:permute) =
#a:Type -> eq:equiv a -> m:cm a eq -> am:amap a -> xs:list atom ->
Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs))
// sufficient condition:
// permutation has to be expressible as swaps of adjacent list elements
// In the general case, an arbitrary permutation can be done via swaps.
// (see FStar.Tactics.CanonCommSwaps for a proof)
let rec apply_swap_aux_correct (#a:Type) (n:nat) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (s:swap (length xs + n))
: Lemma (requires True)
(ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap_aux n xs s)))
(decreases xs) =
match xs with
| [] -> EQ?.reflexivity eq (CM?.unit m)
| [x] -> EQ?.reflexivity eq (select x am)
| [x1;x2] ->
if n = (s <: nat)
then CM?.commutativity m (select x1 am) (select x2 am)
else EQ?.reflexivity eq (xsdenote eq m am [x1;x2])
| x1 :: x2 :: xs' ->
if n = (s <: nat)
then (
CM?.associativity m (select x1 am) (select x2 am) (xsdenote eq m am xs');
EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs'))
(CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')));
CM?.commutativity m (select x1 am) (select x2 am);
EQ?.reflexivity eq (xsdenote eq m am xs');
CM?.congruence m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs')
(CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs');
CM?.associativity m (select x2 am) (select x1 am) (xsdenote eq m am xs');
EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')))
(CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs'))
(CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'));
EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')))
(CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'))
(CM?.mult m (select x2 am) (CM?.mult m (select x1 am) (xsdenote eq m am xs'))))
else (
apply_swap_aux_correct (n+1) eq m am (x2 :: xs') s;
EQ?.reflexivity eq (select x1 am);
CM?.congruence m (select x1 am) (xsdenote eq m am (x2 :: xs'))
(select x1 am) (xsdenote eq m am (apply_swap_aux (n+1) (x2 :: xs') s)))
let apply_swap_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (s:swap (length xs))
: Lemma (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap xs s)))
(decreases xs) =
apply_swap_aux_correct 0 eq m am xs s
let rec apply_swaps_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (ss:list (swap (length xs)))
: Lemma (requires True)
(ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swaps xs ss)))
(decreases ss) =
match ss with
| [] -> EQ?.reflexivity eq (xsdenote eq m am xs)
| s::ss' ->
apply_swap_correct eq m am xs s;
apply_swaps_correct eq m am (apply_swap xs s) ss';
EQ?.transitivity eq (xsdenote eq m am xs)
(xsdenote eq m am (apply_swap xs s))
(xsdenote eq m am (apply_swaps (apply_swap xs s) ss'))
let permute_via_swaps (p:permute) =
(#a:Type) -> (am:amap a) -> xs:list atom ->
Lemma (exists (ss:swaps_for xs). p xs == apply_swaps xs ss)
let permute_via_swaps_correct_aux (p:permute) (pvs:permute_via_swaps p)
(#a:Type) (eq:equiv a)(m:cm a eq) (am:amap a) (xs:list atom)
: Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs)) =
pvs am xs;
assert(exists (ss:swaps_for xs). p xs == apply_swaps xs ss);
exists_elim (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs))
(() <: squash (exists (ss:swaps_for xs). p xs == apply_swaps xs ss))
(fun ss -> apply_swaps_correct eq m am xs ss)
let permute_via_swaps_correct
(p:permute) (pvs:permute_via_swaps p) : permute_correct p =
fun #a -> permute_via_swaps_correct_aux p pvs #a
(***** Sorting atoms is a correct permutation
(since it can be done by swaps) *)
// Here we sort the variable numbers
let sort : permute = List.Tot.Base.sortWith #int (compare_of_bool (<))
let sort_via_swaps (#a:Type) (am:amap a) (xs:list atom)
: Lemma (exists (ss:swaps_for xs). sort xs == apply_swaps xs ss)
= List.Tot.Properties.sortWith_permutation #int (compare_of_bool (<)) xs;
let ss = equal_counts_implies_swaps xs (sort xs) in
()
let sort_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom)
: Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (sort xs)) =
permute_via_swaps_correct sort (fun #a am -> sort_via_swaps am) eq m am xs
let sort_correct : permute_correct sort = (fun #a -> sort_correct_aux #a)
(***** Canonicalization tactics *)
let canon (e:exp) = sort (flatten e)
let canon_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp)
: Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (canon e)) =
flatten_correct eq m am e;
sort_correct eq m am (flatten e);
EQ?.transitivity eq (mdenote eq m am e)
(xsdenote eq m am (flatten e))
(xsdenote eq m am (sort (flatten e)))
let monoid_reflect_orig (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e1 e2:exp)
: Lemma (requires (xsdenote eq m am (canon e1) `EQ?.eq eq` xsdenote eq m am (canon e2)))
(ensures (mdenote eq m am e1 `EQ?.eq eq` mdenote eq m am e2)) =
canon_correct eq m am e1;
canon_correct eq m am e2;
EQ?.symmetry eq (mdenote eq m am e2) (xsdenote eq m am (canon e2));
EQ?.transitivity eq (mdenote eq m am e1)
(xsdenote eq m am (canon e1))
(xsdenote eq m am (canon e2));
EQ?.transitivity eq (mdenote eq m am e1)
(xsdenote eq m am (canon e2))
(mdenote eq m am e2)
let monoid_reflect (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e1 e2:exp)
(_ : squash (xsdenote eq m am (canon e1) `EQ?.eq eq` xsdenote eq m am (canon e2)))
: squash (mdenote eq m am e1 `EQ?.eq eq` mdenote eq m am e2) =
monoid_reflect_orig #a eq m am e1 e2
(* Finds the position of first occurrence of x in xs.
This is now specialized to terms and their funny term_eq. *)
let rec where_aux (n:nat) (x:term) (xs:list term) :
Tac (option nat) =
match xs with
| [] -> None
| x'::xs' -> if term_eq x x' then Some n else where_aux (n+1) x xs'
let where = where_aux 0
let fatom (t:term) (ts:list term) (am:amap term) : Tac (exp * list term * amap term) =
match where t ts with
| Some v -> (Atom v, ts, am)
| None ->
let vfresh = length ts in
let t = norm_term [iota; zeta] t in
(Atom vfresh, ts @ [t], update vfresh t am)
// This expects that mult, unit, and t have already been normalized
let rec reification_aux (ts:list term) (am:amap term)
(mult unit t : term) : Tac (exp * list term * amap term) =
let hd, tl = collect_app t in
match inspect hd, tl with
| Tv_FVar fv, [(t1, Q_Explicit) ; (t2, Q_Explicit)] ->
if term_eq (pack (Tv_FVar fv)) mult
then (let (e1, ts, am) = reification_aux ts am mult unit t1 in
let (e2, ts, am) = reification_aux ts am mult unit t2 in
(Mult e1 e2, ts, am))
else fatom t ts am
| _, _ ->
if term_eq t unit
then (Unit, ts, am)
else fatom t ts am
let reification (eq: term) (m: term) (ts:list term) (am:amap term) (t:term) :
Tac (exp * list term * amap term) =
let mult = norm_term [iota; zeta; delta] (`CM?.mult (`#m)) in
let unit = norm_term [iota; zeta; delta] (`CM?.unit (`#m)) in
let t = norm_term [iota; zeta] t in
reification_aux ts am mult unit t
let rec repeat_cong_right_identity (eq: term) (m: term) : Tac unit =
or_else (fun _ -> apply_lemma (`right_identity))
(fun _ -> apply_lemma (`CM?.congruence (`#m));
split ();
apply_lemma (`EQ?.reflexivity (`#eq));
repeat_cong_right_identity eq m
) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Tactics.CanonCommSwaps.fst.checked",
"FStar.Tactics.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.Properties.fst.checked",
"FStar.List.Tot.Base.fst.checked",
"FStar.List.Tot.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Algebra.CommMonoid.Equiv.fst.checked"
],
"interface_file": false,
"source_file": "FStar.Tactics.CanonCommMonoidSimple.Equiv.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommSwaps",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Classical",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Algebra.CommMonoid.Equiv",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"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 | m: Prims.list (FStar.Tactics.CanonCommMonoidSimple.Equiv.atom * FStar.Tactics.NamedView.term)
-> FStar.Tactics.NamedView.term | Prims.Tot | [
"total"
] | [] | [
"Prims.list",
"FStar.Pervasives.Native.tuple2",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.atom",
"FStar.Tactics.NamedView.term",
"FStar.Stubs.Reflection.Types.term",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.convert_map",
"FStar.Tactics.NamedView.pack",
"FStar.Tactics.NamedView.Tv_Const",
"FStar.Stubs.Reflection.V2.Data.C_Int"
] | [
"recursion"
] | false | false | false | true | false | let rec convert_map (m: list (atom * term)) : term =
| match m with
| [] -> `[]
| (a, t) :: ps ->
let a = pack (Tv_Const (C_Int a)) in
`(((`#a), (`#t)) :: (`#(convert_map ps))) | false |
EverParse3d.InputStream.Extern.Base.fsti | EverParse3d.InputStream.Extern.Base.t | val t : Type0 | let t = input_stream_base | {
"file_name": "src/3d/prelude/extern/EverParse3d.InputStream.Extern.Base.fsti",
"git_rev": "00217c4a89f5ba56002ba9aa5b4a9d5903bfe9fa",
"git_url": "https://github.com/project-everest/everparse.git",
"project_name": "everparse"
} | {
"end_col": 25,
"end_line": 15,
"start_col": 0,
"start_line": 15
} | module EverParse3d.InputStream.Extern.Base
module B = LowStar.Buffer
module HS = FStar.HyperStack
module HST = FStar.HyperStack.ST
module U32 = FStar.UInt32
module U8 = FStar.UInt8
module LPE = EverParse3d.ErrorCode
module U64 = FStar.UInt64
val input_stream_base : Type0
inline_for_extraction | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"LowStar.Buffer.fst.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt64.fsti.checked",
"FStar.UInt32.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.HyperStack.ST.fsti.checked",
"FStar.HyperStack.fst.checked",
"EverParse3d.Util.fst.checked",
"EverParse3d.ErrorCode.fst.checked"
],
"interface_file": false,
"source_file": "EverParse3d.InputStream.Extern.Base.fsti"
} | [
{
"abbrev": true,
"full_module": "FStar.UInt64",
"short_module": "U64"
},
{
"abbrev": true,
"full_module": "EverParse3d.ErrorCode",
"short_module": "LPE"
},
{
"abbrev": true,
"full_module": "FStar.UInt8",
"short_module": "U8"
},
{
"abbrev": true,
"full_module": "FStar.UInt32",
"short_module": "U32"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack.ST",
"short_module": "HST"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack",
"short_module": "HS"
},
{
"abbrev": true,
"full_module": "LowStar.Buffer",
"short_module": "B"
},
{
"abbrev": false,
"full_module": "EverParse3d.InputStream.Extern",
"short_module": null
},
{
"abbrev": false,
"full_module": "EverParse3d.InputStream.Extern",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 2,
"max_fuel": 0,
"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": [
"smt.qi.eager_threshold=100"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 8,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | Type0 | Prims.Tot | [
"total"
] | [] | [
"EverParse3d.InputStream.Extern.Base.input_stream_base"
] | [] | false | false | false | true | true | let t =
| input_stream_base | false |
|
FStar.Tactics.CanonCommMonoidSimple.Equiv.fst | FStar.Tactics.CanonCommMonoidSimple.Equiv.apply_swap_aux_correct | val apply_swap_aux_correct
(#a: Type)
(n: nat)
(eq: equiv a)
(m: cm a eq)
(am: amap a)
(xs: list atom)
(s: swap (length xs + n))
: Lemma (requires True)
(ensures (EQ?.eq eq (xsdenote eq m am xs) (xsdenote eq m am (apply_swap_aux n xs s))))
(decreases xs) | val apply_swap_aux_correct
(#a: Type)
(n: nat)
(eq: equiv a)
(m: cm a eq)
(am: amap a)
(xs: list atom)
(s: swap (length xs + n))
: Lemma (requires True)
(ensures (EQ?.eq eq (xsdenote eq m am xs) (xsdenote eq m am (apply_swap_aux n xs s))))
(decreases xs) | let rec apply_swap_aux_correct (#a:Type) (n:nat) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (s:swap (length xs + n))
: Lemma (requires True)
(ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap_aux n xs s)))
(decreases xs) =
match xs with
| [] -> EQ?.reflexivity eq (CM?.unit m)
| [x] -> EQ?.reflexivity eq (select x am)
| [x1;x2] ->
if n = (s <: nat)
then CM?.commutativity m (select x1 am) (select x2 am)
else EQ?.reflexivity eq (xsdenote eq m am [x1;x2])
| x1 :: x2 :: xs' ->
if n = (s <: nat)
then (
CM?.associativity m (select x1 am) (select x2 am) (xsdenote eq m am xs');
EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs'))
(CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')));
CM?.commutativity m (select x1 am) (select x2 am);
EQ?.reflexivity eq (xsdenote eq m am xs');
CM?.congruence m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs')
(CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs');
CM?.associativity m (select x2 am) (select x1 am) (xsdenote eq m am xs');
EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')))
(CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs'))
(CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'));
EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')))
(CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'))
(CM?.mult m (select x2 am) (CM?.mult m (select x1 am) (xsdenote eq m am xs'))))
else (
apply_swap_aux_correct (n+1) eq m am (x2 :: xs') s;
EQ?.reflexivity eq (select x1 am);
CM?.congruence m (select x1 am) (xsdenote eq m am (x2 :: xs'))
(select x1 am) (xsdenote eq m am (apply_swap_aux (n+1) (x2 :: xs') s))) | {
"file_name": "ulib/FStar.Tactics.CanonCommMonoidSimple.Equiv.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 96,
"end_line": 180,
"start_col": 0,
"start_line": 147
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Tactics.CanonCommMonoidSimple.Equiv
open FStar.Algebra.CommMonoid.Equiv
open FStar.List
open FStar.Classical
open FStar.Tactics.CanonCommSwaps
open FStar.Tactics.V2
let term_eq = FStar.Tactics.term_eq_old
(* A simple expression canonizer for commutative monoids (working up to
some given equivalence relation as opposed to just propositional equality).
For a canonizer with more features see FStar.Tactics.CanonCommMonoid.fst.
Based on FStar.Tactics.CanonCommMonoidSimple.fst
*)
(* Only dump when debugging is on *)
//let dump m = if debugging () then dump m
(***** Expression syntax *)
// GM: ugh, we had `nat`, but then we get bitten by lack
// of subtyping over datatypes when we typecheck the amap term
// we generate (see convert_am).
let atom : eqtype = int
type exp : Type =
| Unit : exp
| Mult : exp -> exp -> exp
| Atom : atom -> exp
let rec exp_to_string (e:exp) : string =
match e with
| Unit -> "Unit"
| Atom x -> "Atom " ^ string_of_int (x <: atom)
| Mult e1 e2 -> "Mult (" ^ exp_to_string e1
^ ") (" ^ exp_to_string e2 ^ ")"
(***** Expression denotation *)
// Use a map that stores for each atom
// (1) its denotation that should be treated abstractly (type a) and
// (2) user-specified extra information depending on its term (type b)
let amap (a:Type) = list (atom * a) * a
let const (#a:Type) (xa:a) : amap a = ([], xa)
let select (#a:Type) (x:atom) (am:amap a) : Tot a =
match assoc #atom #a x (fst am) with
| Some a -> a
| _ -> snd am
let update (#a:Type) (x:atom) (xa:a) (am:amap a) : amap a =
(x, xa)::fst am, snd am
let rec mdenote (#a:Type u#aa) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : a =
match e with
| Unit -> CM?.unit m
| Atom x -> select x am
| Mult e1 e2 -> CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2)
let rec xsdenote (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) : a =
match xs with
| [] -> CM?.unit m
| [x] -> select x am
| x::xs' -> CM?.mult m (select x am) (xsdenote eq m am xs')
(***** Flattening expressions to lists of atoms *)
let rec flatten (e:exp) : list atom =
match e with
| Unit -> []
| Atom x -> [x]
| Mult e1 e2 -> flatten e1 @ flatten e2
let rec flatten_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs1 xs2:list atom)
: Lemma (xsdenote eq m am (xs1 @ xs2) `EQ?.eq eq` CM?.mult m (xsdenote eq m am xs1)
(xsdenote eq m am xs2)) =
match xs1 with
| [] ->
CM?.identity m (xsdenote eq m am xs2);
EQ?.symmetry eq (CM?.mult m (CM?.unit m) (xsdenote eq m am xs2)) (xsdenote eq m am xs2)
| [x] -> (
if (Nil? xs2)
then (right_identity eq m (select x am);
EQ?.symmetry eq (CM?.mult m (select x am) (CM?.unit m)) (select x am))
else EQ?.reflexivity eq (CM?.mult m (xsdenote eq m am [x]) (xsdenote eq m am xs2)))
| x::xs1' ->
flatten_correct_aux eq m am xs1' xs2;
EQ?.reflexivity eq (select x am);
CM?.congruence m (select x am) (xsdenote eq m am (xs1' @ xs2))
(select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2));
CM?.associativity m (select x am) (xsdenote eq m am xs1') (xsdenote eq m am xs2);
EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2))
(CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)));
EQ?.transitivity eq (CM?.mult m (select x am) (xsdenote eq m am (xs1' @ xs2)))
(CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)))
(CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2))
let rec flatten_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp)
: Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (flatten e)) =
match e with
| Unit -> EQ?.reflexivity eq (CM?.unit m)
| Atom x -> EQ?.reflexivity eq (select x am)
| Mult e1 e2 ->
flatten_correct_aux eq m am (flatten e1) (flatten e2);
EQ?.symmetry eq (xsdenote eq m am (flatten e1 @ flatten e2))
(CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)));
flatten_correct eq m am e1;
flatten_correct eq m am e2;
CM?.congruence m (mdenote eq m am e1) (mdenote eq m am e2)
(xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2));
EQ?.transitivity eq (CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2))
(CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)))
(xsdenote eq m am (flatten e1 @ flatten e2))
(***** Permuting the lists of atoms
by swapping adjacent elements *)
let permute = list atom -> list atom
// high-level correctness criterion for permutations
let permute_correct (p:permute) =
#a:Type -> eq:equiv a -> m:cm a eq -> am:amap a -> xs:list atom ->
Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs))
// sufficient condition:
// permutation has to be expressible as swaps of adjacent list elements
// In the general case, an arbitrary permutation can be done via swaps.
// (see FStar.Tactics.CanonCommSwaps for a proof) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Tactics.CanonCommSwaps.fst.checked",
"FStar.Tactics.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.Properties.fst.checked",
"FStar.List.Tot.Base.fst.checked",
"FStar.List.Tot.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Algebra.CommMonoid.Equiv.fst.checked"
],
"interface_file": false,
"source_file": "FStar.Tactics.CanonCommMonoidSimple.Equiv.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommSwaps",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Classical",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Algebra.CommMonoid.Equiv",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"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 ->
eq: FStar.Algebra.CommMonoid.Equiv.equiv a ->
m: FStar.Algebra.CommMonoid.Equiv.cm a eq ->
am: FStar.Tactics.CanonCommMonoidSimple.Equiv.amap a ->
xs: Prims.list FStar.Tactics.CanonCommMonoidSimple.Equiv.atom ->
s: FStar.Tactics.CanonCommSwaps.swap (FStar.List.Tot.Base.length xs + n)
-> FStar.Pervasives.Lemma
(ensures
EQ?.eq eq
(FStar.Tactics.CanonCommMonoidSimple.Equiv.xsdenote eq m am xs)
(FStar.Tactics.CanonCommMonoidSimple.Equiv.xsdenote eq
m
am
(FStar.Tactics.CanonCommSwaps.apply_swap_aux n xs s))) (decreases xs) | FStar.Pervasives.Lemma | [
"lemma",
""
] | [] | [
"Prims.nat",
"FStar.Algebra.CommMonoid.Equiv.equiv",
"FStar.Algebra.CommMonoid.Equiv.cm",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.amap",
"Prims.list",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.atom",
"FStar.Tactics.CanonCommSwaps.swap",
"Prims.op_Addition",
"FStar.List.Tot.Base.length",
"FStar.Algebra.CommMonoid.Equiv.__proj__EQ__item__reflexivity",
"FStar.Algebra.CommMonoid.Equiv.__proj__CM__item__unit",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.select",
"Prims.op_Equality",
"FStar.Algebra.CommMonoid.Equiv.__proj__CM__item__commutativity",
"Prims.bool",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.xsdenote",
"Prims.Cons",
"Prims.Nil",
"Prims.unit",
"FStar.Algebra.CommMonoid.Equiv.__proj__EQ__item__transitivity",
"FStar.Algebra.CommMonoid.Equiv.__proj__CM__item__mult",
"FStar.Algebra.CommMonoid.Equiv.__proj__CM__item__associativity",
"FStar.Algebra.CommMonoid.Equiv.__proj__CM__item__congruence",
"FStar.Algebra.CommMonoid.Equiv.__proj__EQ__item__symmetry",
"FStar.Tactics.CanonCommSwaps.apply_swap_aux",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.apply_swap_aux_correct",
"Prims.l_True",
"Prims.squash",
"FStar.Algebra.CommMonoid.Equiv.__proj__EQ__item__eq",
"FStar.Pervasives.pattern"
] | [
"recursion"
] | false | false | true | false | false | let rec apply_swap_aux_correct
(#a: Type)
(n: nat)
(eq: equiv a)
(m: cm a eq)
(am: amap a)
(xs: list atom)
(s: swap (length xs + n))
: Lemma (requires True)
(ensures (EQ?.eq eq (xsdenote eq m am xs) (xsdenote eq m am (apply_swap_aux n xs s))))
(decreases xs) =
| match xs with
| [] -> EQ?.reflexivity eq (CM?.unit m)
| [x] -> EQ?.reflexivity eq (select x am)
| [x1 ; x2] ->
if n = (s <: nat)
then CM?.commutativity m (select x1 am) (select x2 am)
else EQ?.reflexivity eq (xsdenote eq m am [x1; x2])
| x1 :: x2 :: xs' ->
if n = (s <: nat)
then
(CM?.associativity m (select x1 am) (select x2 am) (xsdenote eq m am xs');
EQ?.symmetry eq
(CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs'))
(CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')));
CM?.commutativity m (select x1 am) (select x2 am);
EQ?.reflexivity eq (xsdenote eq m am xs');
CM?.congruence m
(CM?.mult m (select x1 am) (select x2 am))
(xsdenote eq m am xs')
(CM?.mult m (select x2 am) (select x1 am))
(xsdenote eq m am xs');
CM?.associativity m (select x2 am) (select x1 am) (xsdenote eq m am xs');
EQ?.transitivity eq
(CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')))
(CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs'))
(CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'));
EQ?.transitivity eq
(CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')))
(CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'))
(CM?.mult m (select x2 am) (CM?.mult m (select x1 am) (xsdenote eq m am xs'))))
else
(apply_swap_aux_correct (n + 1) eq m am (x2 :: xs') s;
EQ?.reflexivity eq (select x1 am);
CM?.congruence m
(select x1 am)
(xsdenote eq m am (x2 :: xs'))
(select x1 am)
(xsdenote eq m am (apply_swap_aux (n + 1) (x2 :: xs') s))) | false |
EverParse3d.InputStream.Extern.Base.fsti | EverParse3d.InputStream.Extern.Base.peep_pre | val peep_pre (#[EverParse3d.Util.solve_from_ctx ()] _extra_t: extra_t) (x: t) (n: U64.t) (h: HS.mem)
: Tot prop | val peep_pre (#[EverParse3d.Util.solve_from_ctx ()] _extra_t: extra_t) (x: t) (n: U64.t) (h: HS.mem)
: Tot prop | let peep_pre
(#[EverParse3d.Util.solve_from_ctx ()] _extra_t: extra_t)
(x: t)
(n: U64.t)
(h: HS.mem)
: Tot prop
=
live x h /\
Seq.length (get_remaining x h) >= U64.v n | {
"file_name": "src/3d/prelude/extern/EverParse3d.InputStream.Extern.Base.fsti",
"git_rev": "00217c4a89f5ba56002ba9aa5b4a9d5903bfe9fa",
"git_url": "https://github.com/project-everest/everparse.git",
"project_name": "everparse"
} | {
"end_col": 47,
"end_line": 106,
"start_col": 0,
"start_line": 98
} | module EverParse3d.InputStream.Extern.Base
module B = LowStar.Buffer
module HS = FStar.HyperStack
module HST = FStar.HyperStack.ST
module U32 = FStar.UInt32
module U8 = FStar.UInt8
module LPE = EverParse3d.ErrorCode
module U64 = FStar.UInt64
val input_stream_base : Type0
inline_for_extraction
noextract
let t = input_stream_base
val live: t -> HS.mem -> Tot prop
val footprint
(x: t)
: Ghost B.loc
(requires True)
(ensures (fun y -> B.address_liveness_insensitive_locs `B.loc_includes` y))
val live_not_unused_in :
(x: t) ->
(h: HS.mem) ->
Lemma
(requires (live x h))
(ensures (B.loc_not_unused_in h `B.loc_includes` footprint x))
val len_all: (x: t) -> GTot LPE.pos_t
/// WARNING: the following assumes that no computations shall overflow
val get_all: (x: t) -> Ghost (Seq.seq U8.t)
(requires True)
(ensures (fun y -> Seq.length y == U64.v (len_all x)))
val get_remaining: (x: t) -> (h: HS.mem) -> Ghost (Seq.seq U8.t)
(requires (live x h))
(ensures (fun y -> Seq.length y <= U64.v (len_all x)))
val get_read: (x: t) -> (h: HS.mem) -> Ghost (Seq.seq U8.t)
(requires (live x h))
(ensures (fun y -> get_all x `Seq.equal` (y `Seq.append` get_remaining x h)))
val preserved:
(x: t) ->
(l: B.loc) ->
(h: HS.mem) ->
(h' : HS.mem) ->
Lemma
(requires (live x h /\ B.modifies l h h' /\ B.loc_disjoint (footprint x) l))
(ensures (
live x h' /\
get_remaining x h' == get_remaining x h /\
get_read x h' == get_read x h
))
val extra_t: Type0
val has:
(#[EverParse3d.Util.solve_from_ctx ()] _extra_t: extra_t) ->
(x: t) ->
(n: U64.t) ->
HST.Stack bool
(requires (fun h -> live x h))
(ensures (fun h res h' ->
B.modifies B.loc_none h h' /\
(res == true <==> Seq.length (get_remaining x h) >= U64.v n)
))
val read:
(#[EverParse3d.Util.solve_from_ctx ()] _extra_t: extra_t) ->
(x: t) ->
(n: U64.t) ->
(dst: B.buffer U8.t) ->
HST.Stack (B.buffer U8.t)
(requires (fun h ->
live x h /\
B.live h dst /\
B.loc_disjoint (footprint x) (B.loc_buffer dst) /\
B.length dst == U64.v n /\
Seq.length (get_remaining x h) >= U64.v n
))
(ensures (fun h dst' h' ->
let s = get_remaining x h in
B.modifies (B.loc_buffer dst `B.loc_union` footprint x) h h' /\
B.as_seq h' dst' `Seq.equal` Seq.slice s 0 (U64.v n) /\
live x h' /\
B.live h' dst /\
B.live h' dst' /\
(B.loc_buffer dst `B.loc_union` footprint x) `B.loc_includes` B.loc_buffer dst' /\
get_remaining x h' == Seq.slice s (U64.v n) (Seq.length s)
)) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"LowStar.Buffer.fst.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt64.fsti.checked",
"FStar.UInt32.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.HyperStack.ST.fsti.checked",
"FStar.HyperStack.fst.checked",
"EverParse3d.Util.fst.checked",
"EverParse3d.ErrorCode.fst.checked"
],
"interface_file": false,
"source_file": "EverParse3d.InputStream.Extern.Base.fsti"
} | [
{
"abbrev": true,
"full_module": "FStar.UInt64",
"short_module": "U64"
},
{
"abbrev": true,
"full_module": "EverParse3d.ErrorCode",
"short_module": "LPE"
},
{
"abbrev": true,
"full_module": "FStar.UInt8",
"short_module": "U8"
},
{
"abbrev": true,
"full_module": "FStar.UInt32",
"short_module": "U32"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack.ST",
"short_module": "HST"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack",
"short_module": "HS"
},
{
"abbrev": true,
"full_module": "LowStar.Buffer",
"short_module": "B"
},
{
"abbrev": false,
"full_module": "EverParse3d.InputStream.Extern",
"short_module": null
},
{
"abbrev": false,
"full_module": "EverParse3d.InputStream.Extern",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 2,
"max_fuel": 0,
"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": [
"smt.qi.eager_threshold=100"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 8,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | x: EverParse3d.InputStream.Extern.Base.t -> n: FStar.UInt64.t -> h: FStar.Monotonic.HyperStack.mem
-> Prims.prop | Prims.Tot | [
"total"
] | [] | [
"EverParse3d.InputStream.Extern.Base.extra_t",
"EverParse3d.InputStream.Extern.Base.t",
"FStar.UInt64.t",
"FStar.Monotonic.HyperStack.mem",
"Prims.l_and",
"EverParse3d.InputStream.Extern.Base.live",
"Prims.b2t",
"Prims.op_GreaterThanOrEqual",
"FStar.Seq.Base.length",
"FStar.UInt8.t",
"EverParse3d.InputStream.Extern.Base.get_remaining",
"FStar.UInt64.v",
"Prims.prop"
] | [] | false | false | false | true | true | let peep_pre (#[EverParse3d.Util.solve_from_ctx ()] _extra_t: extra_t) (x: t) (n: U64.t) (h: HS.mem)
: Tot prop =
| live x h /\ Seq.length (get_remaining x h) >= U64.v n | false |
Rel.fst | Rel.same | val same : x: _ -> Rel.rel _ | let same x = R x x | {
"file_name": "examples/rel/Rel.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 18,
"end_line": 24,
"start_col": 0,
"start_line": 24
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module Rel
(* General Definitions *)
type rel (t:Type) =
| R : l:t -> r:t -> rel t
type eq (t:Type) = v:(rel t){R?.l v == R?.r v} | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": false,
"source_file": "Rel.fst"
} | [
{
"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: _ -> Rel.rel _ | Prims.Tot | [
"total"
] | [] | [
"Rel.R",
"Rel.rel"
] | [] | false | false | false | true | false | let same x =
| R x x | false |
|
Rel.fst | Rel.lift | val lift : #t:Type -> #t2:Type
-> f:(t -> Tot t2) -> rel t
-> Tot (rel t2) | val lift : #t:Type -> #t2:Type
-> f:(t -> Tot t2) -> rel t
-> Tot (rel t2) | let lift #t #t2 f (R x y) = R (f x) (f y) | {
"file_name": "examples/rel/Rel.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 41,
"end_line": 29,
"start_col": 0,
"start_line": 29
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module Rel
(* General Definitions *)
type rel (t:Type) =
| R : l:t -> r:t -> rel t
type eq (t:Type) = v:(rel t){R?.l v == R?.r v}
let same x = R x x
val lift : #t:Type -> #t2:Type
-> f:(t -> Tot t2) -> rel t | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": false,
"source_file": "Rel.fst"
} | [
{
"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: (_: t -> t2) -> _: Rel.rel t -> Rel.rel t2 | Prims.Tot | [
"total"
] | [] | [
"Rel.rel",
"Rel.R"
] | [] | false | false | false | true | false | let lift #t #t2 f (R x y) =
| R (f x) (f y) | false |
Rel.fst | Rel.lift3 | val lift3 : #t:Type -> #t2:Type -> #t3:Type -> #t4:Type
-> f:(t -> t2 -> t3 -> Tot t4) -> rel t -> rel t2 -> rel t3
-> Tot (rel t4) | val lift3 : #t:Type -> #t2:Type -> #t3:Type -> #t4:Type
-> f:(t -> t2 -> t3 -> Tot t4) -> rel t -> rel t2 -> rel t3
-> Tot (rel t4) | let lift3 #t #t2 #t3 #t4 f (R x y) (R x2 y2) (R x3 y3) = R (f x x2 x3) (f y y2 y3) | {
"file_name": "examples/rel/Rel.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 82,
"end_line": 39,
"start_col": 0,
"start_line": 39
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module Rel
(* General Definitions *)
type rel (t:Type) =
| R : l:t -> r:t -> rel t
type eq (t:Type) = v:(rel t){R?.l v == R?.r v}
let same x = R x x
val lift : #t:Type -> #t2:Type
-> f:(t -> Tot t2) -> rel t
-> Tot (rel t2)
let lift #t #t2 f (R x y) = R (f x) (f y)
val lift2 : #t:Type -> #t2:Type -> #t3:Type
-> f:(t -> t2 -> Tot t3) -> rel t -> rel t2
-> Tot (rel t3)
let lift2 #t #t2 #t3 f (R x y) (R x2 y2) = R (f x x2) (f y y2)
val lift3 : #t:Type -> #t2:Type -> #t3:Type -> #t4:Type
-> f:(t -> t2 -> t3 -> Tot t4) -> rel t -> rel t2 -> rel t3 | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": false,
"source_file": "Rel.fst"
} | [
{
"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: (_: t -> _: t2 -> _: t3 -> t4) -> _: Rel.rel t -> _: Rel.rel t2 -> _: Rel.rel t3 -> Rel.rel t4 | Prims.Tot | [
"total"
] | [] | [
"Rel.rel",
"FStar.Pervasives.Native.Mktuple3",
"Rel.R"
] | [] | false | false | false | true | false | let lift3 #t #t2 #t3 #t4 f (R x y) (R x2 y2) (R x3 y3) =
| R (f x x2 x3) (f y y2 y3) | false |
Rel.fst | Rel.lift2 | val lift2 : #t:Type -> #t2:Type -> #t3:Type
-> f:(t -> t2 -> Tot t3) -> rel t -> rel t2
-> Tot (rel t3) | val lift2 : #t:Type -> #t2:Type -> #t3:Type
-> f:(t -> t2 -> Tot t3) -> rel t -> rel t2
-> Tot (rel t3) | let lift2 #t #t2 #t3 f (R x y) (R x2 y2) = R (f x x2) (f y y2) | {
"file_name": "examples/rel/Rel.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 62,
"end_line": 34,
"start_col": 0,
"start_line": 34
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module Rel
(* General Definitions *)
type rel (t:Type) =
| R : l:t -> r:t -> rel t
type eq (t:Type) = v:(rel t){R?.l v == R?.r v}
let same x = R x x
val lift : #t:Type -> #t2:Type
-> f:(t -> Tot t2) -> rel t
-> Tot (rel t2)
let lift #t #t2 f (R x y) = R (f x) (f y)
val lift2 : #t:Type -> #t2:Type -> #t3:Type
-> f:(t -> t2 -> Tot t3) -> rel t -> rel t2 | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": false,
"source_file": "Rel.fst"
} | [
{
"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: (_: t -> _: t2 -> t3) -> _: Rel.rel t -> _: Rel.rel t2 -> Rel.rel t3 | Prims.Tot | [
"total"
] | [] | [
"Rel.rel",
"FStar.Pervasives.Native.Mktuple2",
"Rel.R"
] | [] | false | false | false | true | false | let lift2 #t #t2 #t3 f (R x y) (R x2 y2) =
| R (f x x2) (f y y2) | false |
FStar.Tactics.CanonCommMonoidSimple.Equiv.fst | FStar.Tactics.CanonCommMonoidSimple.Equiv.monoid_reflect_orig | val monoid_reflect_orig (#a: Type) (eq: equiv a) (m: cm a eq) (am: amap a) (e1 e2: exp)
: Lemma (requires (EQ?.eq eq (xsdenote eq m am (canon e1)) (xsdenote eq m am (canon e2))))
(ensures (EQ?.eq eq (mdenote eq m am e1) (mdenote eq m am e2))) | val monoid_reflect_orig (#a: Type) (eq: equiv a) (m: cm a eq) (am: amap a) (e1 e2: exp)
: Lemma (requires (EQ?.eq eq (xsdenote eq m am (canon e1)) (xsdenote eq m am (canon e2))))
(ensures (EQ?.eq eq (mdenote eq m am e1) (mdenote eq m am e2))) | let monoid_reflect_orig (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e1 e2:exp)
: Lemma (requires (xsdenote eq m am (canon e1) `EQ?.eq eq` xsdenote eq m am (canon e2)))
(ensures (mdenote eq m am e1 `EQ?.eq eq` mdenote eq m am e2)) =
canon_correct eq m am e1;
canon_correct eq m am e2;
EQ?.symmetry eq (mdenote eq m am e2) (xsdenote eq m am (canon e2));
EQ?.transitivity eq (mdenote eq m am e1)
(xsdenote eq m am (canon e1))
(xsdenote eq m am (canon e2));
EQ?.transitivity eq (mdenote eq m am e1)
(xsdenote eq m am (canon e2))
(mdenote eq m am e2) | {
"file_name": "ulib/FStar.Tactics.CanonCommMonoidSimple.Equiv.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 42,
"end_line": 261,
"start_col": 0,
"start_line": 250
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Tactics.CanonCommMonoidSimple.Equiv
open FStar.Algebra.CommMonoid.Equiv
open FStar.List
open FStar.Classical
open FStar.Tactics.CanonCommSwaps
open FStar.Tactics.V2
let term_eq = FStar.Tactics.term_eq_old
(* A simple expression canonizer for commutative monoids (working up to
some given equivalence relation as opposed to just propositional equality).
For a canonizer with more features see FStar.Tactics.CanonCommMonoid.fst.
Based on FStar.Tactics.CanonCommMonoidSimple.fst
*)
(* Only dump when debugging is on *)
//let dump m = if debugging () then dump m
(***** Expression syntax *)
// GM: ugh, we had `nat`, but then we get bitten by lack
// of subtyping over datatypes when we typecheck the amap term
// we generate (see convert_am).
let atom : eqtype = int
type exp : Type =
| Unit : exp
| Mult : exp -> exp -> exp
| Atom : atom -> exp
let rec exp_to_string (e:exp) : string =
match e with
| Unit -> "Unit"
| Atom x -> "Atom " ^ string_of_int (x <: atom)
| Mult e1 e2 -> "Mult (" ^ exp_to_string e1
^ ") (" ^ exp_to_string e2 ^ ")"
(***** Expression denotation *)
// Use a map that stores for each atom
// (1) its denotation that should be treated abstractly (type a) and
// (2) user-specified extra information depending on its term (type b)
let amap (a:Type) = list (atom * a) * a
let const (#a:Type) (xa:a) : amap a = ([], xa)
let select (#a:Type) (x:atom) (am:amap a) : Tot a =
match assoc #atom #a x (fst am) with
| Some a -> a
| _ -> snd am
let update (#a:Type) (x:atom) (xa:a) (am:amap a) : amap a =
(x, xa)::fst am, snd am
let rec mdenote (#a:Type u#aa) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : a =
match e with
| Unit -> CM?.unit m
| Atom x -> select x am
| Mult e1 e2 -> CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2)
let rec xsdenote (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) : a =
match xs with
| [] -> CM?.unit m
| [x] -> select x am
| x::xs' -> CM?.mult m (select x am) (xsdenote eq m am xs')
(***** Flattening expressions to lists of atoms *)
let rec flatten (e:exp) : list atom =
match e with
| Unit -> []
| Atom x -> [x]
| Mult e1 e2 -> flatten e1 @ flatten e2
let rec flatten_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs1 xs2:list atom)
: Lemma (xsdenote eq m am (xs1 @ xs2) `EQ?.eq eq` CM?.mult m (xsdenote eq m am xs1)
(xsdenote eq m am xs2)) =
match xs1 with
| [] ->
CM?.identity m (xsdenote eq m am xs2);
EQ?.symmetry eq (CM?.mult m (CM?.unit m) (xsdenote eq m am xs2)) (xsdenote eq m am xs2)
| [x] -> (
if (Nil? xs2)
then (right_identity eq m (select x am);
EQ?.symmetry eq (CM?.mult m (select x am) (CM?.unit m)) (select x am))
else EQ?.reflexivity eq (CM?.mult m (xsdenote eq m am [x]) (xsdenote eq m am xs2)))
| x::xs1' ->
flatten_correct_aux eq m am xs1' xs2;
EQ?.reflexivity eq (select x am);
CM?.congruence m (select x am) (xsdenote eq m am (xs1' @ xs2))
(select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2));
CM?.associativity m (select x am) (xsdenote eq m am xs1') (xsdenote eq m am xs2);
EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2))
(CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)));
EQ?.transitivity eq (CM?.mult m (select x am) (xsdenote eq m am (xs1' @ xs2)))
(CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)))
(CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2))
let rec flatten_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp)
: Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (flatten e)) =
match e with
| Unit -> EQ?.reflexivity eq (CM?.unit m)
| Atom x -> EQ?.reflexivity eq (select x am)
| Mult e1 e2 ->
flatten_correct_aux eq m am (flatten e1) (flatten e2);
EQ?.symmetry eq (xsdenote eq m am (flatten e1 @ flatten e2))
(CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)));
flatten_correct eq m am e1;
flatten_correct eq m am e2;
CM?.congruence m (mdenote eq m am e1) (mdenote eq m am e2)
(xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2));
EQ?.transitivity eq (CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2))
(CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)))
(xsdenote eq m am (flatten e1 @ flatten e2))
(***** Permuting the lists of atoms
by swapping adjacent elements *)
let permute = list atom -> list atom
// high-level correctness criterion for permutations
let permute_correct (p:permute) =
#a:Type -> eq:equiv a -> m:cm a eq -> am:amap a -> xs:list atom ->
Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs))
// sufficient condition:
// permutation has to be expressible as swaps of adjacent list elements
// In the general case, an arbitrary permutation can be done via swaps.
// (see FStar.Tactics.CanonCommSwaps for a proof)
let rec apply_swap_aux_correct (#a:Type) (n:nat) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (s:swap (length xs + n))
: Lemma (requires True)
(ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap_aux n xs s)))
(decreases xs) =
match xs with
| [] -> EQ?.reflexivity eq (CM?.unit m)
| [x] -> EQ?.reflexivity eq (select x am)
| [x1;x2] ->
if n = (s <: nat)
then CM?.commutativity m (select x1 am) (select x2 am)
else EQ?.reflexivity eq (xsdenote eq m am [x1;x2])
| x1 :: x2 :: xs' ->
if n = (s <: nat)
then (
CM?.associativity m (select x1 am) (select x2 am) (xsdenote eq m am xs');
EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs'))
(CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')));
CM?.commutativity m (select x1 am) (select x2 am);
EQ?.reflexivity eq (xsdenote eq m am xs');
CM?.congruence m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs')
(CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs');
CM?.associativity m (select x2 am) (select x1 am) (xsdenote eq m am xs');
EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')))
(CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs'))
(CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'));
EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')))
(CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'))
(CM?.mult m (select x2 am) (CM?.mult m (select x1 am) (xsdenote eq m am xs'))))
else (
apply_swap_aux_correct (n+1) eq m am (x2 :: xs') s;
EQ?.reflexivity eq (select x1 am);
CM?.congruence m (select x1 am) (xsdenote eq m am (x2 :: xs'))
(select x1 am) (xsdenote eq m am (apply_swap_aux (n+1) (x2 :: xs') s)))
let apply_swap_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (s:swap (length xs))
: Lemma (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap xs s)))
(decreases xs) =
apply_swap_aux_correct 0 eq m am xs s
let rec apply_swaps_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (ss:list (swap (length xs)))
: Lemma (requires True)
(ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swaps xs ss)))
(decreases ss) =
match ss with
| [] -> EQ?.reflexivity eq (xsdenote eq m am xs)
| s::ss' ->
apply_swap_correct eq m am xs s;
apply_swaps_correct eq m am (apply_swap xs s) ss';
EQ?.transitivity eq (xsdenote eq m am xs)
(xsdenote eq m am (apply_swap xs s))
(xsdenote eq m am (apply_swaps (apply_swap xs s) ss'))
let permute_via_swaps (p:permute) =
(#a:Type) -> (am:amap a) -> xs:list atom ->
Lemma (exists (ss:swaps_for xs). p xs == apply_swaps xs ss)
let permute_via_swaps_correct_aux (p:permute) (pvs:permute_via_swaps p)
(#a:Type) (eq:equiv a)(m:cm a eq) (am:amap a) (xs:list atom)
: Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs)) =
pvs am xs;
assert(exists (ss:swaps_for xs). p xs == apply_swaps xs ss);
exists_elim (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs))
(() <: squash (exists (ss:swaps_for xs). p xs == apply_swaps xs ss))
(fun ss -> apply_swaps_correct eq m am xs ss)
let permute_via_swaps_correct
(p:permute) (pvs:permute_via_swaps p) : permute_correct p =
fun #a -> permute_via_swaps_correct_aux p pvs #a
(***** Sorting atoms is a correct permutation
(since it can be done by swaps) *)
// Here we sort the variable numbers
let sort : permute = List.Tot.Base.sortWith #int (compare_of_bool (<))
let sort_via_swaps (#a:Type) (am:amap a) (xs:list atom)
: Lemma (exists (ss:swaps_for xs). sort xs == apply_swaps xs ss)
= List.Tot.Properties.sortWith_permutation #int (compare_of_bool (<)) xs;
let ss = equal_counts_implies_swaps xs (sort xs) in
()
let sort_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom)
: Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (sort xs)) =
permute_via_swaps_correct sort (fun #a am -> sort_via_swaps am) eq m am xs
let sort_correct : permute_correct sort = (fun #a -> sort_correct_aux #a)
(***** Canonicalization tactics *)
let canon (e:exp) = sort (flatten e)
let canon_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp)
: Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (canon e)) =
flatten_correct eq m am e;
sort_correct eq m am (flatten e);
EQ?.transitivity eq (mdenote eq m am e)
(xsdenote eq m am (flatten e))
(xsdenote eq m am (sort (flatten e))) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Tactics.CanonCommSwaps.fst.checked",
"FStar.Tactics.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.Properties.fst.checked",
"FStar.List.Tot.Base.fst.checked",
"FStar.List.Tot.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Algebra.CommMonoid.Equiv.fst.checked"
],
"interface_file": false,
"source_file": "FStar.Tactics.CanonCommMonoidSimple.Equiv.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommSwaps",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Classical",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Algebra.CommMonoid.Equiv",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"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 |
eq: FStar.Algebra.CommMonoid.Equiv.equiv a ->
m: FStar.Algebra.CommMonoid.Equiv.cm a eq ->
am: FStar.Tactics.CanonCommMonoidSimple.Equiv.amap a ->
e1: FStar.Tactics.CanonCommMonoidSimple.Equiv.exp ->
e2: FStar.Tactics.CanonCommMonoidSimple.Equiv.exp
-> FStar.Pervasives.Lemma
(requires
EQ?.eq eq
(FStar.Tactics.CanonCommMonoidSimple.Equiv.xsdenote eq
m
am
(FStar.Tactics.CanonCommMonoidSimple.Equiv.canon e1))
(FStar.Tactics.CanonCommMonoidSimple.Equiv.xsdenote eq
m
am
(FStar.Tactics.CanonCommMonoidSimple.Equiv.canon e2)))
(ensures
EQ?.eq eq
(FStar.Tactics.CanonCommMonoidSimple.Equiv.mdenote eq m am e1)
(FStar.Tactics.CanonCommMonoidSimple.Equiv.mdenote eq m am e2)) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"FStar.Algebra.CommMonoid.Equiv.equiv",
"FStar.Algebra.CommMonoid.Equiv.cm",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.amap",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.exp",
"FStar.Algebra.CommMonoid.Equiv.__proj__EQ__item__transitivity",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.mdenote",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.xsdenote",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.canon",
"Prims.unit",
"FStar.Algebra.CommMonoid.Equiv.__proj__EQ__item__symmetry",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.canon_correct",
"FStar.Algebra.CommMonoid.Equiv.__proj__EQ__item__eq",
"Prims.squash",
"Prims.Nil",
"FStar.Pervasives.pattern"
] | [] | true | false | true | false | false | let monoid_reflect_orig (#a: Type) (eq: equiv a) (m: cm a eq) (am: amap a) (e1 e2: exp)
: Lemma (requires (EQ?.eq eq (xsdenote eq m am (canon e1)) (xsdenote eq m am (canon e2))))
(ensures (EQ?.eq eq (mdenote eq m am e1) (mdenote eq m am e2))) =
| canon_correct eq m am e1;
canon_correct eq m am e2;
EQ?.symmetry eq (mdenote eq m am e2) (xsdenote eq m am (canon e2));
EQ?.transitivity eq (mdenote eq m am e1) (xsdenote eq m am (canon e1)) (xsdenote eq m am (canon e2));
EQ?.transitivity eq (mdenote eq m am e1) (xsdenote eq m am (canon e2)) (mdenote eq m am e2) | false |
FStar.Tactics.CanonCommMonoidSimple.Equiv.fst | FStar.Tactics.CanonCommMonoidSimple.Equiv.quote_exp | val quote_exp (e: exp) : term | val quote_exp (e: exp) : term | let rec quote_exp (e:exp) : term =
match e with
| Unit -> (`Unit)
| Mult e1 e2 -> (`Mult (`#(quote_exp e1)) (`#(quote_exp e2)))
| Atom n -> let nt = pack (Tv_Const (C_Int n)) in
(`Atom (`#nt)) | {
"file_name": "ulib/FStar.Tactics.CanonCommMonoidSimple.Equiv.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 30,
"end_line": 337,
"start_col": 0,
"start_line": 332
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Tactics.CanonCommMonoidSimple.Equiv
open FStar.Algebra.CommMonoid.Equiv
open FStar.List
open FStar.Classical
open FStar.Tactics.CanonCommSwaps
open FStar.Tactics.V2
let term_eq = FStar.Tactics.term_eq_old
(* A simple expression canonizer for commutative monoids (working up to
some given equivalence relation as opposed to just propositional equality).
For a canonizer with more features see FStar.Tactics.CanonCommMonoid.fst.
Based on FStar.Tactics.CanonCommMonoidSimple.fst
*)
(* Only dump when debugging is on *)
//let dump m = if debugging () then dump m
(***** Expression syntax *)
// GM: ugh, we had `nat`, but then we get bitten by lack
// of subtyping over datatypes when we typecheck the amap term
// we generate (see convert_am).
let atom : eqtype = int
type exp : Type =
| Unit : exp
| Mult : exp -> exp -> exp
| Atom : atom -> exp
let rec exp_to_string (e:exp) : string =
match e with
| Unit -> "Unit"
| Atom x -> "Atom " ^ string_of_int (x <: atom)
| Mult e1 e2 -> "Mult (" ^ exp_to_string e1
^ ") (" ^ exp_to_string e2 ^ ")"
(***** Expression denotation *)
// Use a map that stores for each atom
// (1) its denotation that should be treated abstractly (type a) and
// (2) user-specified extra information depending on its term (type b)
let amap (a:Type) = list (atom * a) * a
let const (#a:Type) (xa:a) : amap a = ([], xa)
let select (#a:Type) (x:atom) (am:amap a) : Tot a =
match assoc #atom #a x (fst am) with
| Some a -> a
| _ -> snd am
let update (#a:Type) (x:atom) (xa:a) (am:amap a) : amap a =
(x, xa)::fst am, snd am
let rec mdenote (#a:Type u#aa) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : a =
match e with
| Unit -> CM?.unit m
| Atom x -> select x am
| Mult e1 e2 -> CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2)
let rec xsdenote (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) : a =
match xs with
| [] -> CM?.unit m
| [x] -> select x am
| x::xs' -> CM?.mult m (select x am) (xsdenote eq m am xs')
(***** Flattening expressions to lists of atoms *)
let rec flatten (e:exp) : list atom =
match e with
| Unit -> []
| Atom x -> [x]
| Mult e1 e2 -> flatten e1 @ flatten e2
let rec flatten_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs1 xs2:list atom)
: Lemma (xsdenote eq m am (xs1 @ xs2) `EQ?.eq eq` CM?.mult m (xsdenote eq m am xs1)
(xsdenote eq m am xs2)) =
match xs1 with
| [] ->
CM?.identity m (xsdenote eq m am xs2);
EQ?.symmetry eq (CM?.mult m (CM?.unit m) (xsdenote eq m am xs2)) (xsdenote eq m am xs2)
| [x] -> (
if (Nil? xs2)
then (right_identity eq m (select x am);
EQ?.symmetry eq (CM?.mult m (select x am) (CM?.unit m)) (select x am))
else EQ?.reflexivity eq (CM?.mult m (xsdenote eq m am [x]) (xsdenote eq m am xs2)))
| x::xs1' ->
flatten_correct_aux eq m am xs1' xs2;
EQ?.reflexivity eq (select x am);
CM?.congruence m (select x am) (xsdenote eq m am (xs1' @ xs2))
(select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2));
CM?.associativity m (select x am) (xsdenote eq m am xs1') (xsdenote eq m am xs2);
EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2))
(CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)));
EQ?.transitivity eq (CM?.mult m (select x am) (xsdenote eq m am (xs1' @ xs2)))
(CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)))
(CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2))
let rec flatten_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp)
: Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (flatten e)) =
match e with
| Unit -> EQ?.reflexivity eq (CM?.unit m)
| Atom x -> EQ?.reflexivity eq (select x am)
| Mult e1 e2 ->
flatten_correct_aux eq m am (flatten e1) (flatten e2);
EQ?.symmetry eq (xsdenote eq m am (flatten e1 @ flatten e2))
(CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)));
flatten_correct eq m am e1;
flatten_correct eq m am e2;
CM?.congruence m (mdenote eq m am e1) (mdenote eq m am e2)
(xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2));
EQ?.transitivity eq (CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2))
(CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)))
(xsdenote eq m am (flatten e1 @ flatten e2))
(***** Permuting the lists of atoms
by swapping adjacent elements *)
let permute = list atom -> list atom
// high-level correctness criterion for permutations
let permute_correct (p:permute) =
#a:Type -> eq:equiv a -> m:cm a eq -> am:amap a -> xs:list atom ->
Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs))
// sufficient condition:
// permutation has to be expressible as swaps of adjacent list elements
// In the general case, an arbitrary permutation can be done via swaps.
// (see FStar.Tactics.CanonCommSwaps for a proof)
let rec apply_swap_aux_correct (#a:Type) (n:nat) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (s:swap (length xs + n))
: Lemma (requires True)
(ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap_aux n xs s)))
(decreases xs) =
match xs with
| [] -> EQ?.reflexivity eq (CM?.unit m)
| [x] -> EQ?.reflexivity eq (select x am)
| [x1;x2] ->
if n = (s <: nat)
then CM?.commutativity m (select x1 am) (select x2 am)
else EQ?.reflexivity eq (xsdenote eq m am [x1;x2])
| x1 :: x2 :: xs' ->
if n = (s <: nat)
then (
CM?.associativity m (select x1 am) (select x2 am) (xsdenote eq m am xs');
EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs'))
(CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')));
CM?.commutativity m (select x1 am) (select x2 am);
EQ?.reflexivity eq (xsdenote eq m am xs');
CM?.congruence m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs')
(CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs');
CM?.associativity m (select x2 am) (select x1 am) (xsdenote eq m am xs');
EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')))
(CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs'))
(CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'));
EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')))
(CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'))
(CM?.mult m (select x2 am) (CM?.mult m (select x1 am) (xsdenote eq m am xs'))))
else (
apply_swap_aux_correct (n+1) eq m am (x2 :: xs') s;
EQ?.reflexivity eq (select x1 am);
CM?.congruence m (select x1 am) (xsdenote eq m am (x2 :: xs'))
(select x1 am) (xsdenote eq m am (apply_swap_aux (n+1) (x2 :: xs') s)))
let apply_swap_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (s:swap (length xs))
: Lemma (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap xs s)))
(decreases xs) =
apply_swap_aux_correct 0 eq m am xs s
let rec apply_swaps_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (ss:list (swap (length xs)))
: Lemma (requires True)
(ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swaps xs ss)))
(decreases ss) =
match ss with
| [] -> EQ?.reflexivity eq (xsdenote eq m am xs)
| s::ss' ->
apply_swap_correct eq m am xs s;
apply_swaps_correct eq m am (apply_swap xs s) ss';
EQ?.transitivity eq (xsdenote eq m am xs)
(xsdenote eq m am (apply_swap xs s))
(xsdenote eq m am (apply_swaps (apply_swap xs s) ss'))
let permute_via_swaps (p:permute) =
(#a:Type) -> (am:amap a) -> xs:list atom ->
Lemma (exists (ss:swaps_for xs). p xs == apply_swaps xs ss)
let permute_via_swaps_correct_aux (p:permute) (pvs:permute_via_swaps p)
(#a:Type) (eq:equiv a)(m:cm a eq) (am:amap a) (xs:list atom)
: Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs)) =
pvs am xs;
assert(exists (ss:swaps_for xs). p xs == apply_swaps xs ss);
exists_elim (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs))
(() <: squash (exists (ss:swaps_for xs). p xs == apply_swaps xs ss))
(fun ss -> apply_swaps_correct eq m am xs ss)
let permute_via_swaps_correct
(p:permute) (pvs:permute_via_swaps p) : permute_correct p =
fun #a -> permute_via_swaps_correct_aux p pvs #a
(***** Sorting atoms is a correct permutation
(since it can be done by swaps) *)
// Here we sort the variable numbers
let sort : permute = List.Tot.Base.sortWith #int (compare_of_bool (<))
let sort_via_swaps (#a:Type) (am:amap a) (xs:list atom)
: Lemma (exists (ss:swaps_for xs). sort xs == apply_swaps xs ss)
= List.Tot.Properties.sortWith_permutation #int (compare_of_bool (<)) xs;
let ss = equal_counts_implies_swaps xs (sort xs) in
()
let sort_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom)
: Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (sort xs)) =
permute_via_swaps_correct sort (fun #a am -> sort_via_swaps am) eq m am xs
let sort_correct : permute_correct sort = (fun #a -> sort_correct_aux #a)
(***** Canonicalization tactics *)
let canon (e:exp) = sort (flatten e)
let canon_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp)
: Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (canon e)) =
flatten_correct eq m am e;
sort_correct eq m am (flatten e);
EQ?.transitivity eq (mdenote eq m am e)
(xsdenote eq m am (flatten e))
(xsdenote eq m am (sort (flatten e)))
let monoid_reflect_orig (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e1 e2:exp)
: Lemma (requires (xsdenote eq m am (canon e1) `EQ?.eq eq` xsdenote eq m am (canon e2)))
(ensures (mdenote eq m am e1 `EQ?.eq eq` mdenote eq m am e2)) =
canon_correct eq m am e1;
canon_correct eq m am e2;
EQ?.symmetry eq (mdenote eq m am e2) (xsdenote eq m am (canon e2));
EQ?.transitivity eq (mdenote eq m am e1)
(xsdenote eq m am (canon e1))
(xsdenote eq m am (canon e2));
EQ?.transitivity eq (mdenote eq m am e1)
(xsdenote eq m am (canon e2))
(mdenote eq m am e2)
let monoid_reflect (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e1 e2:exp)
(_ : squash (xsdenote eq m am (canon e1) `EQ?.eq eq` xsdenote eq m am (canon e2)))
: squash (mdenote eq m am e1 `EQ?.eq eq` mdenote eq m am e2) =
monoid_reflect_orig #a eq m am e1 e2
(* Finds the position of first occurrence of x in xs.
This is now specialized to terms and their funny term_eq. *)
let rec where_aux (n:nat) (x:term) (xs:list term) :
Tac (option nat) =
match xs with
| [] -> None
| x'::xs' -> if term_eq x x' then Some n else where_aux (n+1) x xs'
let where = where_aux 0
let fatom (t:term) (ts:list term) (am:amap term) : Tac (exp * list term * amap term) =
match where t ts with
| Some v -> (Atom v, ts, am)
| None ->
let vfresh = length ts in
let t = norm_term [iota; zeta] t in
(Atom vfresh, ts @ [t], update vfresh t am)
// This expects that mult, unit, and t have already been normalized
let rec reification_aux (ts:list term) (am:amap term)
(mult unit t : term) : Tac (exp * list term * amap term) =
let hd, tl = collect_app t in
match inspect hd, tl with
| Tv_FVar fv, [(t1, Q_Explicit) ; (t2, Q_Explicit)] ->
if term_eq (pack (Tv_FVar fv)) mult
then (let (e1, ts, am) = reification_aux ts am mult unit t1 in
let (e2, ts, am) = reification_aux ts am mult unit t2 in
(Mult e1 e2, ts, am))
else fatom t ts am
| _, _ ->
if term_eq t unit
then (Unit, ts, am)
else fatom t ts am
let reification (eq: term) (m: term) (ts:list term) (am:amap term) (t:term) :
Tac (exp * list term * amap term) =
let mult = norm_term [iota; zeta; delta] (`CM?.mult (`#m)) in
let unit = norm_term [iota; zeta; delta] (`CM?.unit (`#m)) in
let t = norm_term [iota; zeta] t in
reification_aux ts am mult unit t
let rec repeat_cong_right_identity (eq: term) (m: term) : Tac unit =
or_else (fun _ -> apply_lemma (`right_identity))
(fun _ -> apply_lemma (`CM?.congruence (`#m));
split ();
apply_lemma (`EQ?.reflexivity (`#eq));
repeat_cong_right_identity eq m
)
let rec convert_map (m : list (atom * term)) : term =
match m with
| [] -> `[]
| (a, t)::ps ->
let a = pack (Tv_Const (C_Int a)) in
(* let t = norm_term [delta] t in *)
`((`#a, (`#t)) :: (`#(convert_map ps)))
(* `am` is an amap (basically a list) of terms, each representing a value
of type `a` (whichever we are canonicalizing). This functions converts
`am` into a single `term` of type `amap a`, suitable to call `mdenote` with *)
let convert_am (am : amap term) : term =
let (map, def) = am in
(* let def = norm_term [delta] def in *)
`( (`#(convert_map map), `#def) ) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Tactics.CanonCommSwaps.fst.checked",
"FStar.Tactics.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.Properties.fst.checked",
"FStar.List.Tot.Base.fst.checked",
"FStar.List.Tot.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Algebra.CommMonoid.Equiv.fst.checked"
],
"interface_file": false,
"source_file": "FStar.Tactics.CanonCommMonoidSimple.Equiv.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommSwaps",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Classical",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Algebra.CommMonoid.Equiv",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"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 | e: FStar.Tactics.CanonCommMonoidSimple.Equiv.exp -> FStar.Tactics.NamedView.term | Prims.Tot | [
"total"
] | [] | [
"FStar.Tactics.CanonCommMonoidSimple.Equiv.exp",
"FStar.Stubs.Reflection.Types.term",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.quote_exp",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.atom",
"FStar.Tactics.NamedView.term",
"FStar.Tactics.NamedView.pack",
"FStar.Tactics.NamedView.Tv_Const",
"FStar.Stubs.Reflection.V2.Data.C_Int"
] | [
"recursion"
] | false | false | false | true | false | let rec quote_exp (e: exp) : term =
| match e with
| Unit -> (`Unit)
| Mult e1 e2 -> (`Mult (`#(quote_exp e1)) (`#(quote_exp e2)))
| Atom n ->
let nt = pack (Tv_Const (C_Int n)) in
(`Atom (`#nt)) | false |
Rel.fst | Rel.lift4 | val lift4 : #t:Type -> #t2:Type -> #t3:Type -> #t4:Type -> #t5:Type
-> f:(t -> t2 -> t3 -> t4 -> Tot t5)
-> rel t -> rel t2 -> rel t3 -> rel t4
-> Tot (rel t5) | val lift4 : #t:Type -> #t2:Type -> #t3:Type -> #t4:Type -> #t5:Type
-> f:(t -> t2 -> t3 -> t4 -> Tot t5)
-> rel t -> rel t2 -> rel t3 -> rel t4
-> Tot (rel t5) | let lift4 #t #t2 #t3 #t4 #t5 f (R x y) (R x2 y2) (R x3 y3) (R x4 y4) =
R (f x x2 x3 x4) (f y y2 y3 y4) | {
"file_name": "examples/rel/Rel.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 35,
"end_line": 46,
"start_col": 0,
"start_line": 45
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module Rel
(* General Definitions *)
type rel (t:Type) =
| R : l:t -> r:t -> rel t
type eq (t:Type) = v:(rel t){R?.l v == R?.r v}
let same x = R x x
val lift : #t:Type -> #t2:Type
-> f:(t -> Tot t2) -> rel t
-> Tot (rel t2)
let lift #t #t2 f (R x y) = R (f x) (f y)
val lift2 : #t:Type -> #t2:Type -> #t3:Type
-> f:(t -> t2 -> Tot t3) -> rel t -> rel t2
-> Tot (rel t3)
let lift2 #t #t2 #t3 f (R x y) (R x2 y2) = R (f x x2) (f y y2)
val lift3 : #t:Type -> #t2:Type -> #t3:Type -> #t4:Type
-> f:(t -> t2 -> t3 -> Tot t4) -> rel t -> rel t2 -> rel t3
-> Tot (rel t4)
let lift3 #t #t2 #t3 #t4 f (R x y) (R x2 y2) (R x3 y3) = R (f x x2 x3) (f y y2 y3)
val lift4 : #t:Type -> #t2:Type -> #t3:Type -> #t4:Type -> #t5:Type
-> f:(t -> t2 -> t3 -> t4 -> Tot t5)
-> rel t -> rel t2 -> rel t3 -> rel t4 | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": false,
"source_file": "Rel.fst"
} | [
{
"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: (_: t -> _: t2 -> _: t3 -> _: t4 -> t5) ->
_: Rel.rel t ->
_: Rel.rel t2 ->
_: Rel.rel t3 ->
_: Rel.rel t4
-> Rel.rel t5 | Prims.Tot | [
"total"
] | [] | [
"Rel.rel",
"FStar.Pervasives.Native.Mktuple4",
"Rel.R"
] | [] | false | false | false | true | false | let lift4 #t #t2 #t3 #t4 #t5 f (R x y) (R x2 y2) (R x3 y3) (R x4 y4) =
| R (f x x2 x3 x4) (f y y2 y3 y4) | false |
Rel.fst | Rel.diag | val diag (#a: Type) (p: (a -> Tot Type0)) (r: rel a) : Type0 | val diag (#a: Type) (p: (a -> Tot Type0)) (r: rel a) : Type0 | let diag (#a:Type) (p:a -> Tot Type0) (r:rel a) : Type0 = p (R?.l r) /\ p (R?.r r) | {
"file_name": "examples/rel/Rel.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 82,
"end_line": 58,
"start_col": 0,
"start_line": 58
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module Rel
(* General Definitions *)
type rel (t:Type) =
| R : l:t -> r:t -> rel t
type eq (t:Type) = v:(rel t){R?.l v == R?.r v}
let same x = R x x
val lift : #t:Type -> #t2:Type
-> f:(t -> Tot t2) -> rel t
-> Tot (rel t2)
let lift #t #t2 f (R x y) = R (f x) (f y)
val lift2 : #t:Type -> #t2:Type -> #t3:Type
-> f:(t -> t2 -> Tot t3) -> rel t -> rel t2
-> Tot (rel t3)
let lift2 #t #t2 #t3 f (R x y) (R x2 y2) = R (f x x2) (f y y2)
val lift3 : #t:Type -> #t2:Type -> #t3:Type -> #t4:Type
-> f:(t -> t2 -> t3 -> Tot t4) -> rel t -> rel t2 -> rel t3
-> Tot (rel t4)
let lift3 #t #t2 #t3 #t4 f (R x y) (R x2 y2) (R x3 y3) = R (f x x2 x3) (f y y2 y3)
val lift4 : #t:Type -> #t2:Type -> #t3:Type -> #t4:Type -> #t5:Type
-> f:(t -> t2 -> t3 -> t4 -> Tot t5)
-> rel t -> rel t2 -> rel t3 -> rel t4
-> Tot (rel t5)
let lift4 #t #t2 #t3 #t4 #t5 f (R x y) (R x2 y2) (R x3 y3) (R x4 y4) =
R (f x x2 x3 x4) (f y y2 y3 y4)
val lift5 : #t:Type -> #t2:Type -> #t3:Type -> #t4:Type -> #t5:Type -> #t6:Type
-> f:(t -> t2 -> t3 -> t4 -> t5 -> Tot t6)
-> rel t -> rel t2 -> rel t3 -> rel t4 -> rel t5
-> Tot (rel t6)
let lift5 #t #t2 #t3 #t4 #t5 #t6 f (R x y) (R x2 y2) (R x3 y3) (R x4 y4) (R x5 y5) =
R (f x x2 x3 x4 x5) (f y y2 y3 y4 y5)
val r_eq : #t:Type -> rel t -> Tot Type0
let r_eq #t (R x y) = (x == y) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": false,
"source_file": "Rel.fst"
} | [
{
"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 -> Type0) -> r: Rel.rel a -> Type0 | Prims.Tot | [
"total"
] | [] | [
"Rel.rel",
"Prims.l_and",
"Rel.__proj__R__item__l",
"Rel.__proj__R__item__r"
] | [] | false | false | false | true | true | let diag (#a: Type) (p: (a -> Tot Type0)) (r: rel a) : Type0 =
| p (R?.l r) /\ p (R?.r r) | false |
FStar.Tactics.CanonCommMonoidSimple.Equiv.fst | FStar.Tactics.CanonCommMonoidSimple.Equiv.canon_monoid | val canon_monoid (eq m: term) : Tac unit | val canon_monoid (eq m: term) : Tac unit | let canon_monoid (eq: term) (m: term) : Tac unit =
norm [iota; zeta];
let t = cur_goal () in
// removing top-level squash application
let sq, rel_xy = collect_app t in
// unpacking the application of the equivalence relation (lhs `EQ?.eq eq` rhs)
(match rel_xy with
| [(rel_xy,_)] -> (
let rel, xy = collect_app rel_xy in
if (length xy >= 2)
then (
match FStar.List.Tot.Base.index xy (length xy - 2) , FStar.List.Tot.index xy (length xy - 1) with
| (lhs, Q_Explicit) , (rhs, Q_Explicit) -> canon_lhs_rhs eq m lhs rhs
| _ -> fail "Goal should have been an application of a binary relation to 2 explicit arguments"
)
else (
fail "Goal should have been an application of a binary relation to n implicit and 2 explicit arguments"
)
)
| _ -> fail "Goal should be squash applied to a binary relation") | {
"file_name": "ulib/FStar.Tactics.CanonCommMonoidSimple.Equiv.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 68,
"end_line": 391,
"start_col": 0,
"start_line": 372
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Tactics.CanonCommMonoidSimple.Equiv
open FStar.Algebra.CommMonoid.Equiv
open FStar.List
open FStar.Classical
open FStar.Tactics.CanonCommSwaps
open FStar.Tactics.V2
let term_eq = FStar.Tactics.term_eq_old
(* A simple expression canonizer for commutative monoids (working up to
some given equivalence relation as opposed to just propositional equality).
For a canonizer with more features see FStar.Tactics.CanonCommMonoid.fst.
Based on FStar.Tactics.CanonCommMonoidSimple.fst
*)
(* Only dump when debugging is on *)
//let dump m = if debugging () then dump m
(***** Expression syntax *)
// GM: ugh, we had `nat`, but then we get bitten by lack
// of subtyping over datatypes when we typecheck the amap term
// we generate (see convert_am).
let atom : eqtype = int
type exp : Type =
| Unit : exp
| Mult : exp -> exp -> exp
| Atom : atom -> exp
let rec exp_to_string (e:exp) : string =
match e with
| Unit -> "Unit"
| Atom x -> "Atom " ^ string_of_int (x <: atom)
| Mult e1 e2 -> "Mult (" ^ exp_to_string e1
^ ") (" ^ exp_to_string e2 ^ ")"
(***** Expression denotation *)
// Use a map that stores for each atom
// (1) its denotation that should be treated abstractly (type a) and
// (2) user-specified extra information depending on its term (type b)
let amap (a:Type) = list (atom * a) * a
let const (#a:Type) (xa:a) : amap a = ([], xa)
let select (#a:Type) (x:atom) (am:amap a) : Tot a =
match assoc #atom #a x (fst am) with
| Some a -> a
| _ -> snd am
let update (#a:Type) (x:atom) (xa:a) (am:amap a) : amap a =
(x, xa)::fst am, snd am
let rec mdenote (#a:Type u#aa) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : a =
match e with
| Unit -> CM?.unit m
| Atom x -> select x am
| Mult e1 e2 -> CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2)
let rec xsdenote (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) : a =
match xs with
| [] -> CM?.unit m
| [x] -> select x am
| x::xs' -> CM?.mult m (select x am) (xsdenote eq m am xs')
(***** Flattening expressions to lists of atoms *)
let rec flatten (e:exp) : list atom =
match e with
| Unit -> []
| Atom x -> [x]
| Mult e1 e2 -> flatten e1 @ flatten e2
let rec flatten_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs1 xs2:list atom)
: Lemma (xsdenote eq m am (xs1 @ xs2) `EQ?.eq eq` CM?.mult m (xsdenote eq m am xs1)
(xsdenote eq m am xs2)) =
match xs1 with
| [] ->
CM?.identity m (xsdenote eq m am xs2);
EQ?.symmetry eq (CM?.mult m (CM?.unit m) (xsdenote eq m am xs2)) (xsdenote eq m am xs2)
| [x] -> (
if (Nil? xs2)
then (right_identity eq m (select x am);
EQ?.symmetry eq (CM?.mult m (select x am) (CM?.unit m)) (select x am))
else EQ?.reflexivity eq (CM?.mult m (xsdenote eq m am [x]) (xsdenote eq m am xs2)))
| x::xs1' ->
flatten_correct_aux eq m am xs1' xs2;
EQ?.reflexivity eq (select x am);
CM?.congruence m (select x am) (xsdenote eq m am (xs1' @ xs2))
(select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2));
CM?.associativity m (select x am) (xsdenote eq m am xs1') (xsdenote eq m am xs2);
EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2))
(CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)));
EQ?.transitivity eq (CM?.mult m (select x am) (xsdenote eq m am (xs1' @ xs2)))
(CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)))
(CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2))
let rec flatten_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp)
: Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (flatten e)) =
match e with
| Unit -> EQ?.reflexivity eq (CM?.unit m)
| Atom x -> EQ?.reflexivity eq (select x am)
| Mult e1 e2 ->
flatten_correct_aux eq m am (flatten e1) (flatten e2);
EQ?.symmetry eq (xsdenote eq m am (flatten e1 @ flatten e2))
(CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)));
flatten_correct eq m am e1;
flatten_correct eq m am e2;
CM?.congruence m (mdenote eq m am e1) (mdenote eq m am e2)
(xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2));
EQ?.transitivity eq (CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2))
(CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)))
(xsdenote eq m am (flatten e1 @ flatten e2))
(***** Permuting the lists of atoms
by swapping adjacent elements *)
let permute = list atom -> list atom
// high-level correctness criterion for permutations
let permute_correct (p:permute) =
#a:Type -> eq:equiv a -> m:cm a eq -> am:amap a -> xs:list atom ->
Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs))
// sufficient condition:
// permutation has to be expressible as swaps of adjacent list elements
// In the general case, an arbitrary permutation can be done via swaps.
// (see FStar.Tactics.CanonCommSwaps for a proof)
let rec apply_swap_aux_correct (#a:Type) (n:nat) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (s:swap (length xs + n))
: Lemma (requires True)
(ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap_aux n xs s)))
(decreases xs) =
match xs with
| [] -> EQ?.reflexivity eq (CM?.unit m)
| [x] -> EQ?.reflexivity eq (select x am)
| [x1;x2] ->
if n = (s <: nat)
then CM?.commutativity m (select x1 am) (select x2 am)
else EQ?.reflexivity eq (xsdenote eq m am [x1;x2])
| x1 :: x2 :: xs' ->
if n = (s <: nat)
then (
CM?.associativity m (select x1 am) (select x2 am) (xsdenote eq m am xs');
EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs'))
(CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')));
CM?.commutativity m (select x1 am) (select x2 am);
EQ?.reflexivity eq (xsdenote eq m am xs');
CM?.congruence m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs')
(CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs');
CM?.associativity m (select x2 am) (select x1 am) (xsdenote eq m am xs');
EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')))
(CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs'))
(CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'));
EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs')))
(CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'))
(CM?.mult m (select x2 am) (CM?.mult m (select x1 am) (xsdenote eq m am xs'))))
else (
apply_swap_aux_correct (n+1) eq m am (x2 :: xs') s;
EQ?.reflexivity eq (select x1 am);
CM?.congruence m (select x1 am) (xsdenote eq m am (x2 :: xs'))
(select x1 am) (xsdenote eq m am (apply_swap_aux (n+1) (x2 :: xs') s)))
let apply_swap_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (s:swap (length xs))
: Lemma (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap xs s)))
(decreases xs) =
apply_swap_aux_correct 0 eq m am xs s
let rec apply_swaps_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a)
(xs:list atom) (ss:list (swap (length xs)))
: Lemma (requires True)
(ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swaps xs ss)))
(decreases ss) =
match ss with
| [] -> EQ?.reflexivity eq (xsdenote eq m am xs)
| s::ss' ->
apply_swap_correct eq m am xs s;
apply_swaps_correct eq m am (apply_swap xs s) ss';
EQ?.transitivity eq (xsdenote eq m am xs)
(xsdenote eq m am (apply_swap xs s))
(xsdenote eq m am (apply_swaps (apply_swap xs s) ss'))
let permute_via_swaps (p:permute) =
(#a:Type) -> (am:amap a) -> xs:list atom ->
Lemma (exists (ss:swaps_for xs). p xs == apply_swaps xs ss)
let permute_via_swaps_correct_aux (p:permute) (pvs:permute_via_swaps p)
(#a:Type) (eq:equiv a)(m:cm a eq) (am:amap a) (xs:list atom)
: Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs)) =
pvs am xs;
assert(exists (ss:swaps_for xs). p xs == apply_swaps xs ss);
exists_elim (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs))
(() <: squash (exists (ss:swaps_for xs). p xs == apply_swaps xs ss))
(fun ss -> apply_swaps_correct eq m am xs ss)
let permute_via_swaps_correct
(p:permute) (pvs:permute_via_swaps p) : permute_correct p =
fun #a -> permute_via_swaps_correct_aux p pvs #a
(***** Sorting atoms is a correct permutation
(since it can be done by swaps) *)
// Here we sort the variable numbers
let sort : permute = List.Tot.Base.sortWith #int (compare_of_bool (<))
let sort_via_swaps (#a:Type) (am:amap a) (xs:list atom)
: Lemma (exists (ss:swaps_for xs). sort xs == apply_swaps xs ss)
= List.Tot.Properties.sortWith_permutation #int (compare_of_bool (<)) xs;
let ss = equal_counts_implies_swaps xs (sort xs) in
()
let sort_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom)
: Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (sort xs)) =
permute_via_swaps_correct sort (fun #a am -> sort_via_swaps am) eq m am xs
let sort_correct : permute_correct sort = (fun #a -> sort_correct_aux #a)
(***** Canonicalization tactics *)
let canon (e:exp) = sort (flatten e)
let canon_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp)
: Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (canon e)) =
flatten_correct eq m am e;
sort_correct eq m am (flatten e);
EQ?.transitivity eq (mdenote eq m am e)
(xsdenote eq m am (flatten e))
(xsdenote eq m am (sort (flatten e)))
let monoid_reflect_orig (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e1 e2:exp)
: Lemma (requires (xsdenote eq m am (canon e1) `EQ?.eq eq` xsdenote eq m am (canon e2)))
(ensures (mdenote eq m am e1 `EQ?.eq eq` mdenote eq m am e2)) =
canon_correct eq m am e1;
canon_correct eq m am e2;
EQ?.symmetry eq (mdenote eq m am e2) (xsdenote eq m am (canon e2));
EQ?.transitivity eq (mdenote eq m am e1)
(xsdenote eq m am (canon e1))
(xsdenote eq m am (canon e2));
EQ?.transitivity eq (mdenote eq m am e1)
(xsdenote eq m am (canon e2))
(mdenote eq m am e2)
let monoid_reflect (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e1 e2:exp)
(_ : squash (xsdenote eq m am (canon e1) `EQ?.eq eq` xsdenote eq m am (canon e2)))
: squash (mdenote eq m am e1 `EQ?.eq eq` mdenote eq m am e2) =
monoid_reflect_orig #a eq m am e1 e2
(* Finds the position of first occurrence of x in xs.
This is now specialized to terms and their funny term_eq. *)
let rec where_aux (n:nat) (x:term) (xs:list term) :
Tac (option nat) =
match xs with
| [] -> None
| x'::xs' -> if term_eq x x' then Some n else where_aux (n+1) x xs'
let where = where_aux 0
let fatom (t:term) (ts:list term) (am:amap term) : Tac (exp * list term * amap term) =
match where t ts with
| Some v -> (Atom v, ts, am)
| None ->
let vfresh = length ts in
let t = norm_term [iota; zeta] t in
(Atom vfresh, ts @ [t], update vfresh t am)
// This expects that mult, unit, and t have already been normalized
let rec reification_aux (ts:list term) (am:amap term)
(mult unit t : term) : Tac (exp * list term * amap term) =
let hd, tl = collect_app t in
match inspect hd, tl with
| Tv_FVar fv, [(t1, Q_Explicit) ; (t2, Q_Explicit)] ->
if term_eq (pack (Tv_FVar fv)) mult
then (let (e1, ts, am) = reification_aux ts am mult unit t1 in
let (e2, ts, am) = reification_aux ts am mult unit t2 in
(Mult e1 e2, ts, am))
else fatom t ts am
| _, _ ->
if term_eq t unit
then (Unit, ts, am)
else fatom t ts am
let reification (eq: term) (m: term) (ts:list term) (am:amap term) (t:term) :
Tac (exp * list term * amap term) =
let mult = norm_term [iota; zeta; delta] (`CM?.mult (`#m)) in
let unit = norm_term [iota; zeta; delta] (`CM?.unit (`#m)) in
let t = norm_term [iota; zeta] t in
reification_aux ts am mult unit t
let rec repeat_cong_right_identity (eq: term) (m: term) : Tac unit =
or_else (fun _ -> apply_lemma (`right_identity))
(fun _ -> apply_lemma (`CM?.congruence (`#m));
split ();
apply_lemma (`EQ?.reflexivity (`#eq));
repeat_cong_right_identity eq m
)
let rec convert_map (m : list (atom * term)) : term =
match m with
| [] -> `[]
| (a, t)::ps ->
let a = pack (Tv_Const (C_Int a)) in
(* let t = norm_term [delta] t in *)
`((`#a, (`#t)) :: (`#(convert_map ps)))
(* `am` is an amap (basically a list) of terms, each representing a value
of type `a` (whichever we are canonicalizing). This functions converts
`am` into a single `term` of type `amap a`, suitable to call `mdenote` with *)
let convert_am (am : amap term) : term =
let (map, def) = am in
(* let def = norm_term [delta] def in *)
`( (`#(convert_map map), `#def) )
let rec quote_exp (e:exp) : term =
match e with
| Unit -> (`Unit)
| Mult e1 e2 -> (`Mult (`#(quote_exp e1)) (`#(quote_exp e2)))
| Atom n -> let nt = pack (Tv_Const (C_Int n)) in
(`Atom (`#nt))
let canon_lhs_rhs (eq: term) (m: term) (lhs rhs:term) : Tac unit =
let m_unit = norm_term [iota; zeta; delta](`CM?.unit (`#m)) in
let am = const m_unit in (* empty map *)
let (r1, ts, am) = reification eq m [] am lhs in
let (r2, _, am) = reification eq m ts am rhs in
//dump ("am = " ^ term_to_string (quote am));
//dump ("r1 = " ^ term_to_string (norm_term [delta;primops] (quote (mdenote eq m am r1))));
//dump ("r2 = " ^ term_to_string (norm_term [delta;primops] (quote (mdenote eq m am r2))));
//dump ("before = " ^ term_to_string (norm_term [hnf;delta;primops]
// (quote (mdenote eq m am r1 `EQ?.eq eq` mdenote eq m am r2))));
//dump ("current goal -- " ^ term_to_string (cur_goal ()));
let am = convert_am am in
let r1 = quote_exp r1 in
let r2 = quote_exp r2 in
change_sq (`(mdenote (`#eq) (`#m) (`#am) (`#r1)
`EQ?.eq (`#eq)`
mdenote (`#eq) (`#m) (`#am) (`#r2)));
(* dump ("expected after = " ^ term_to_string (norm_term [delta;primops] *)
(* (quote (xsdenote eq m am (canon r1) `EQ?.eq eq` *)
(* xsdenote eq m am (canon r2))))); *)
apply (`monoid_reflect);
//dump ("after apply monoid_reflect");
norm [iota; zeta; delta_only [`%canon; `%xsdenote; `%flatten; `%sort;
`%select; `%assoc; `%fst; `%__proj__Mktuple2__item___1;
`%(@); `%append; `%List.Tot.sortWith;
`%List.Tot.partition; `%bool_of_compare;
`%compare_of_bool;
]; primops];
//dump "before refl";
or_else (fun _ -> apply_lemma (`(EQ?.reflexivity (`#eq))))
(fun _ -> repeat_cong_right_identity eq m) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Tactics.V2.fst.checked",
"FStar.Tactics.CanonCommSwaps.fst.checked",
"FStar.Tactics.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.Properties.fst.checked",
"FStar.List.Tot.Base.fst.checked",
"FStar.List.Tot.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Algebra.CommMonoid.Equiv.fst.checked"
],
"interface_file": false,
"source_file": "FStar.Tactics.CanonCommMonoidSimple.Equiv.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Tactics.V2",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommSwaps",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Classical",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.List",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Algebra.CommMonoid.Equiv",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Tactics.CanonCommMonoidSimple",
"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 | eq: FStar.Tactics.NamedView.term -> m: FStar.Tactics.NamedView.term
-> FStar.Tactics.Effect.Tac Prims.unit | FStar.Tactics.Effect.Tac | [] | [] | [
"FStar.Tactics.NamedView.term",
"Prims.list",
"FStar.Stubs.Reflection.V2.Data.argv",
"FStar.Stubs.Reflection.Types.term",
"FStar.Stubs.Reflection.V2.Data.aqualv",
"Prims.op_GreaterThanOrEqual",
"FStar.List.Tot.Base.length",
"FStar.Pervasives.Native.Mktuple2",
"FStar.Pervasives.Native.tuple2",
"FStar.List.Tot.Base.index",
"Prims.op_Subtraction",
"FStar.Tactics.CanonCommMonoidSimple.Equiv.canon_lhs_rhs",
"Prims.unit",
"FStar.Tactics.V2.Derived.fail",
"Prims.bool",
"FStar.Tactics.V2.SyntaxHelpers.collect_app",
"FStar.Stubs.Reflection.Types.typ",
"FStar.Tactics.V2.Derived.cur_goal",
"FStar.Stubs.Tactics.V2.Builtins.norm",
"Prims.Cons",
"FStar.Pervasives.norm_step",
"FStar.Pervasives.iota",
"FStar.Pervasives.zeta",
"Prims.Nil"
] | [] | false | true | false | false | false | let canon_monoid (eq m: term) : Tac unit =
| norm [iota; zeta];
let t = cur_goal () in
let sq, rel_xy = collect_app t in
(match rel_xy with
| [rel_xy, _] ->
(let rel, xy = collect_app rel_xy in
if (length xy >= 2)
then
(match
FStar.List.Tot.Base.index xy (length xy - 2), FStar.List.Tot.index xy (length xy - 1)
with
| (lhs, Q_Explicit), (rhs, Q_Explicit) -> canon_lhs_rhs eq m lhs rhs
| _ ->
fail "Goal should have been an application of a binary relation to 2 explicit arguments"
)
else
(fail "Goal should have been an application of a binary relation to n implicit and 2 explicit arguments"
))
| _ -> fail "Goal should be squash applied to a binary relation") | false |
Rel.fst | Rel.lift5 | val lift5 : #t:Type -> #t2:Type -> #t3:Type -> #t4:Type -> #t5:Type -> #t6:Type
-> f:(t -> t2 -> t3 -> t4 -> t5 -> Tot t6)
-> rel t -> rel t2 -> rel t3 -> rel t4 -> rel t5
-> Tot (rel t6) | val lift5 : #t:Type -> #t2:Type -> #t3:Type -> #t4:Type -> #t5:Type -> #t6:Type
-> f:(t -> t2 -> t3 -> t4 -> t5 -> Tot t6)
-> rel t -> rel t2 -> rel t3 -> rel t4 -> rel t5
-> Tot (rel t6) | let lift5 #t #t2 #t3 #t4 #t5 #t6 f (R x y) (R x2 y2) (R x3 y3) (R x4 y4) (R x5 y5) =
R (f x x2 x3 x4 x5) (f y y2 y3 y4 y5) | {
"file_name": "examples/rel/Rel.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 41,
"end_line": 53,
"start_col": 0,
"start_line": 52
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module Rel
(* General Definitions *)
type rel (t:Type) =
| R : l:t -> r:t -> rel t
type eq (t:Type) = v:(rel t){R?.l v == R?.r v}
let same x = R x x
val lift : #t:Type -> #t2:Type
-> f:(t -> Tot t2) -> rel t
-> Tot (rel t2)
let lift #t #t2 f (R x y) = R (f x) (f y)
val lift2 : #t:Type -> #t2:Type -> #t3:Type
-> f:(t -> t2 -> Tot t3) -> rel t -> rel t2
-> Tot (rel t3)
let lift2 #t #t2 #t3 f (R x y) (R x2 y2) = R (f x x2) (f y y2)
val lift3 : #t:Type -> #t2:Type -> #t3:Type -> #t4:Type
-> f:(t -> t2 -> t3 -> Tot t4) -> rel t -> rel t2 -> rel t3
-> Tot (rel t4)
let lift3 #t #t2 #t3 #t4 f (R x y) (R x2 y2) (R x3 y3) = R (f x x2 x3) (f y y2 y3)
val lift4 : #t:Type -> #t2:Type -> #t3:Type -> #t4:Type -> #t5:Type
-> f:(t -> t2 -> t3 -> t4 -> Tot t5)
-> rel t -> rel t2 -> rel t3 -> rel t4
-> Tot (rel t5)
let lift4 #t #t2 #t3 #t4 #t5 f (R x y) (R x2 y2) (R x3 y3) (R x4 y4) =
R (f x x2 x3 x4) (f y y2 y3 y4)
val lift5 : #t:Type -> #t2:Type -> #t3:Type -> #t4:Type -> #t5:Type -> #t6:Type
-> f:(t -> t2 -> t3 -> t4 -> t5 -> Tot t6)
-> rel t -> rel t2 -> rel t3 -> rel t4 -> rel t5 | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": false,
"source_file": "Rel.fst"
} | [
{
"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: (_: t -> _: t2 -> _: t3 -> _: t4 -> _: t5 -> t6) ->
_: Rel.rel t ->
_: Rel.rel t2 ->
_: Rel.rel t3 ->
_: Rel.rel t4 ->
_: Rel.rel t5
-> Rel.rel t6 | Prims.Tot | [
"total"
] | [] | [
"Rel.rel",
"FStar.Pervasives.Native.Mktuple5",
"Rel.R"
] | [] | false | false | false | true | false | let lift5 #t #t2 #t3 #t4 #t5 #t6 f (R x y) (R x2 y2) (R x3 y3) (R x4 y4) (R x5 y5) =
| R (f x x2 x3 x4 x5) (f y y2 y3 y4 y5) | false |
Rel.fst | Rel.r_eq | val r_eq : #t:Type -> rel t -> Tot Type0 | val r_eq : #t:Type -> rel t -> Tot Type0 | let r_eq #t (R x y) = (x == y) | {
"file_name": "examples/rel/Rel.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 30,
"end_line": 56,
"start_col": 0,
"start_line": 56
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module Rel
(* General Definitions *)
type rel (t:Type) =
| R : l:t -> r:t -> rel t
type eq (t:Type) = v:(rel t){R?.l v == R?.r v}
let same x = R x x
val lift : #t:Type -> #t2:Type
-> f:(t -> Tot t2) -> rel t
-> Tot (rel t2)
let lift #t #t2 f (R x y) = R (f x) (f y)
val lift2 : #t:Type -> #t2:Type -> #t3:Type
-> f:(t -> t2 -> Tot t3) -> rel t -> rel t2
-> Tot (rel t3)
let lift2 #t #t2 #t3 f (R x y) (R x2 y2) = R (f x x2) (f y y2)
val lift3 : #t:Type -> #t2:Type -> #t3:Type -> #t4:Type
-> f:(t -> t2 -> t3 -> Tot t4) -> rel t -> rel t2 -> rel t3
-> Tot (rel t4)
let lift3 #t #t2 #t3 #t4 f (R x y) (R x2 y2) (R x3 y3) = R (f x x2 x3) (f y y2 y3)
val lift4 : #t:Type -> #t2:Type -> #t3:Type -> #t4:Type -> #t5:Type
-> f:(t -> t2 -> t3 -> t4 -> Tot t5)
-> rel t -> rel t2 -> rel t3 -> rel t4
-> Tot (rel t5)
let lift4 #t #t2 #t3 #t4 #t5 f (R x y) (R x2 y2) (R x3 y3) (R x4 y4) =
R (f x x2 x3 x4) (f y y2 y3 y4)
val lift5 : #t:Type -> #t2:Type -> #t3:Type -> #t4:Type -> #t5:Type -> #t6:Type
-> f:(t -> t2 -> t3 -> t4 -> t5 -> Tot t6)
-> rel t -> rel t2 -> rel t3 -> rel t4 -> rel t5
-> Tot (rel t6)
let lift5 #t #t2 #t3 #t4 #t5 #t6 f (R x y) (R x2 y2) (R x3 y3) (R x4 y4) (R x5 y5) =
R (f x x2 x3 x4 x5) (f y y2 y3 y4 y5) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": false,
"source_file": "Rel.fst"
} | [
{
"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.rel t -> Type0 | Prims.Tot | [
"total"
] | [] | [
"Rel.rel",
"Prims.eq2"
] | [] | false | false | false | true | true | let r_eq #t (R x y) =
| (x == y) | false |
Rel.fst | Rel.diagb | val diagb (#a: Type) (p: (a -> Tot bool)) (r: rel a) : Type0 | val diagb (#a: Type) (p: (a -> Tot bool)) (r: rel a) : Type0 | let diagb (#a:Type) (p:a -> Tot bool) (r:rel a) : Type0 = p (R?.l r) /\ p (R?.r r) | {
"file_name": "examples/rel/Rel.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 82,
"end_line": 59,
"start_col": 0,
"start_line": 59
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module Rel
(* General Definitions *)
type rel (t:Type) =
| R : l:t -> r:t -> rel t
type eq (t:Type) = v:(rel t){R?.l v == R?.r v}
let same x = R x x
val lift : #t:Type -> #t2:Type
-> f:(t -> Tot t2) -> rel t
-> Tot (rel t2)
let lift #t #t2 f (R x y) = R (f x) (f y)
val lift2 : #t:Type -> #t2:Type -> #t3:Type
-> f:(t -> t2 -> Tot t3) -> rel t -> rel t2
-> Tot (rel t3)
let lift2 #t #t2 #t3 f (R x y) (R x2 y2) = R (f x x2) (f y y2)
val lift3 : #t:Type -> #t2:Type -> #t3:Type -> #t4:Type
-> f:(t -> t2 -> t3 -> Tot t4) -> rel t -> rel t2 -> rel t3
-> Tot (rel t4)
let lift3 #t #t2 #t3 #t4 f (R x y) (R x2 y2) (R x3 y3) = R (f x x2 x3) (f y y2 y3)
val lift4 : #t:Type -> #t2:Type -> #t3:Type -> #t4:Type -> #t5:Type
-> f:(t -> t2 -> t3 -> t4 -> Tot t5)
-> rel t -> rel t2 -> rel t3 -> rel t4
-> Tot (rel t5)
let lift4 #t #t2 #t3 #t4 #t5 f (R x y) (R x2 y2) (R x3 y3) (R x4 y4) =
R (f x x2 x3 x4) (f y y2 y3 y4)
val lift5 : #t:Type -> #t2:Type -> #t3:Type -> #t4:Type -> #t5:Type -> #t6:Type
-> f:(t -> t2 -> t3 -> t4 -> t5 -> Tot t6)
-> rel t -> rel t2 -> rel t3 -> rel t4 -> rel t5
-> Tot (rel t6)
let lift5 #t #t2 #t3 #t4 #t5 #t6 f (R x y) (R x2 y2) (R x3 y3) (R x4 y4) (R x5 y5) =
R (f x x2 x3 x4 x5) (f y y2 y3 y4 y5)
val r_eq : #t:Type -> rel t -> Tot Type0
let r_eq #t (R x y) = (x == y) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": false,
"source_file": "Rel.fst"
} | [
{
"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) -> r: Rel.rel a -> Type0 | Prims.Tot | [
"total"
] | [] | [
"Prims.bool",
"Rel.rel",
"Prims.l_and",
"Prims.b2t",
"Rel.__proj__R__item__l",
"Rel.__proj__R__item__r"
] | [] | false | false | false | true | true | let diagb (#a: Type) (p: (a -> Tot bool)) (r: rel a) : Type0 =
| p (R?.l r) /\ p (R?.r r) | false |
Rel.fst | Rel.split | val split (#a #b: Type) (r: rel (a * b)) : Tot (rel a * rel b) | val split (#a #b: Type) (r: rel (a * b)) : Tot (rel a * rel b) | let split (#a #b:Type) (r:rel (a*b)) : Tot (rel a * rel b) = (lift fst r, lift snd r) | {
"file_name": "examples/rel/Rel.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 85,
"end_line": 61,
"start_col": 0,
"start_line": 61
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module Rel
(* General Definitions *)
type rel (t:Type) =
| R : l:t -> r:t -> rel t
type eq (t:Type) = v:(rel t){R?.l v == R?.r v}
let same x = R x x
val lift : #t:Type -> #t2:Type
-> f:(t -> Tot t2) -> rel t
-> Tot (rel t2)
let lift #t #t2 f (R x y) = R (f x) (f y)
val lift2 : #t:Type -> #t2:Type -> #t3:Type
-> f:(t -> t2 -> Tot t3) -> rel t -> rel t2
-> Tot (rel t3)
let lift2 #t #t2 #t3 f (R x y) (R x2 y2) = R (f x x2) (f y y2)
val lift3 : #t:Type -> #t2:Type -> #t3:Type -> #t4:Type
-> f:(t -> t2 -> t3 -> Tot t4) -> rel t -> rel t2 -> rel t3
-> Tot (rel t4)
let lift3 #t #t2 #t3 #t4 f (R x y) (R x2 y2) (R x3 y3) = R (f x x2 x3) (f y y2 y3)
val lift4 : #t:Type -> #t2:Type -> #t3:Type -> #t4:Type -> #t5:Type
-> f:(t -> t2 -> t3 -> t4 -> Tot t5)
-> rel t -> rel t2 -> rel t3 -> rel t4
-> Tot (rel t5)
let lift4 #t #t2 #t3 #t4 #t5 f (R x y) (R x2 y2) (R x3 y3) (R x4 y4) =
R (f x x2 x3 x4) (f y y2 y3 y4)
val lift5 : #t:Type -> #t2:Type -> #t3:Type -> #t4:Type -> #t5:Type -> #t6:Type
-> f:(t -> t2 -> t3 -> t4 -> t5 -> Tot t6)
-> rel t -> rel t2 -> rel t3 -> rel t4 -> rel t5
-> Tot (rel t6)
let lift5 #t #t2 #t3 #t4 #t5 #t6 f (R x y) (R x2 y2) (R x3 y3) (R x4 y4) (R x5 y5) =
R (f x x2 x3 x4 x5) (f y y2 y3 y4 y5)
val r_eq : #t:Type -> rel t -> Tot Type0
let r_eq #t (R x y) = (x == y)
let diag (#a:Type) (p:a -> Tot Type0) (r:rel a) : Type0 = p (R?.l r) /\ p (R?.r r)
let diagb (#a:Type) (p:a -> Tot bool) (r:rel a) : Type0 = p (R?.l r) /\ p (R?.r r) | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": false,
"source_file": "Rel.fst"
} | [
{
"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 | r: Rel.rel (a * b) -> Rel.rel a * Rel.rel b | Prims.Tot | [
"total"
] | [] | [
"Rel.rel",
"FStar.Pervasives.Native.tuple2",
"FStar.Pervasives.Native.Mktuple2",
"Rel.lift",
"FStar.Pervasives.Native.fst",
"FStar.Pervasives.Native.snd"
] | [] | false | false | false | true | false | let split (#a #b: Type) (r: rel (a * b)) : Tot (rel a * rel b) =
| (lift fst r, lift snd r) | false |
EverParse3d.InputStream.Extern.Base.fsti | EverParse3d.InputStream.Extern.Base.peep_post | val peep_post
(#[EverParse3d.Util.solve_from_ctx ()] _extra_t: extra_t)
(x: t)
(n: U64.t)
(h: HS.mem)
(dst': B.buffer U8.t)
(h': HS.mem)
: Tot prop | val peep_post
(#[EverParse3d.Util.solve_from_ctx ()] _extra_t: extra_t)
(x: t)
(n: U64.t)
(h: HS.mem)
(dst': B.buffer U8.t)
(h': HS.mem)
: Tot prop | let peep_post
(#[EverParse3d.Util.solve_from_ctx ()] _extra_t: extra_t)
(x: t)
(n: U64.t)
(h: HS.mem)
(dst' : B.buffer U8.t)
(h' : HS.mem)
: Tot prop
=
peep_pre x n h /\
begin
let s = get_remaining x h in
B.modifies B.loc_none h h' /\
((~ (B.g_is_null dst')) ==> (
B.as_seq h' dst' `Seq.equal` Seq.slice s 0 (U64.v n) /\
B.live h' dst' /\
footprint x `B.loc_includes` B.loc_buffer dst'
))
end | {
"file_name": "src/3d/prelude/extern/EverParse3d.InputStream.Extern.Base.fsti",
"git_rev": "00217c4a89f5ba56002ba9aa5b4a9d5903bfe9fa",
"git_url": "https://github.com/project-everest/everparse.git",
"project_name": "everparse"
} | {
"end_col": 5,
"end_line": 127,
"start_col": 0,
"start_line": 109
} | module EverParse3d.InputStream.Extern.Base
module B = LowStar.Buffer
module HS = FStar.HyperStack
module HST = FStar.HyperStack.ST
module U32 = FStar.UInt32
module U8 = FStar.UInt8
module LPE = EverParse3d.ErrorCode
module U64 = FStar.UInt64
val input_stream_base : Type0
inline_for_extraction
noextract
let t = input_stream_base
val live: t -> HS.mem -> Tot prop
val footprint
(x: t)
: Ghost B.loc
(requires True)
(ensures (fun y -> B.address_liveness_insensitive_locs `B.loc_includes` y))
val live_not_unused_in :
(x: t) ->
(h: HS.mem) ->
Lemma
(requires (live x h))
(ensures (B.loc_not_unused_in h `B.loc_includes` footprint x))
val len_all: (x: t) -> GTot LPE.pos_t
/// WARNING: the following assumes that no computations shall overflow
val get_all: (x: t) -> Ghost (Seq.seq U8.t)
(requires True)
(ensures (fun y -> Seq.length y == U64.v (len_all x)))
val get_remaining: (x: t) -> (h: HS.mem) -> Ghost (Seq.seq U8.t)
(requires (live x h))
(ensures (fun y -> Seq.length y <= U64.v (len_all x)))
val get_read: (x: t) -> (h: HS.mem) -> Ghost (Seq.seq U8.t)
(requires (live x h))
(ensures (fun y -> get_all x `Seq.equal` (y `Seq.append` get_remaining x h)))
val preserved:
(x: t) ->
(l: B.loc) ->
(h: HS.mem) ->
(h' : HS.mem) ->
Lemma
(requires (live x h /\ B.modifies l h h' /\ B.loc_disjoint (footprint x) l))
(ensures (
live x h' /\
get_remaining x h' == get_remaining x h /\
get_read x h' == get_read x h
))
val extra_t: Type0
val has:
(#[EverParse3d.Util.solve_from_ctx ()] _extra_t: extra_t) ->
(x: t) ->
(n: U64.t) ->
HST.Stack bool
(requires (fun h -> live x h))
(ensures (fun h res h' ->
B.modifies B.loc_none h h' /\
(res == true <==> Seq.length (get_remaining x h) >= U64.v n)
))
val read:
(#[EverParse3d.Util.solve_from_ctx ()] _extra_t: extra_t) ->
(x: t) ->
(n: U64.t) ->
(dst: B.buffer U8.t) ->
HST.Stack (B.buffer U8.t)
(requires (fun h ->
live x h /\
B.live h dst /\
B.loc_disjoint (footprint x) (B.loc_buffer dst) /\
B.length dst == U64.v n /\
Seq.length (get_remaining x h) >= U64.v n
))
(ensures (fun h dst' h' ->
let s = get_remaining x h in
B.modifies (B.loc_buffer dst `B.loc_union` footprint x) h h' /\
B.as_seq h' dst' `Seq.equal` Seq.slice s 0 (U64.v n) /\
live x h' /\
B.live h' dst /\
B.live h' dst' /\
(B.loc_buffer dst `B.loc_union` footprint x) `B.loc_includes` B.loc_buffer dst' /\
get_remaining x h' == Seq.slice s (U64.v n) (Seq.length s)
))
noextract [@@noextract_to "krml"]
let peep_pre
(#[EverParse3d.Util.solve_from_ctx ()] _extra_t: extra_t)
(x: t)
(n: U64.t)
(h: HS.mem)
: Tot prop
=
live x h /\
Seq.length (get_remaining x h) >= U64.v n | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"LowStar.Buffer.fst.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt64.fsti.checked",
"FStar.UInt32.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.HyperStack.ST.fsti.checked",
"FStar.HyperStack.fst.checked",
"EverParse3d.Util.fst.checked",
"EverParse3d.ErrorCode.fst.checked"
],
"interface_file": false,
"source_file": "EverParse3d.InputStream.Extern.Base.fsti"
} | [
{
"abbrev": true,
"full_module": "FStar.UInt64",
"short_module": "U64"
},
{
"abbrev": true,
"full_module": "EverParse3d.ErrorCode",
"short_module": "LPE"
},
{
"abbrev": true,
"full_module": "FStar.UInt8",
"short_module": "U8"
},
{
"abbrev": true,
"full_module": "FStar.UInt32",
"short_module": "U32"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack.ST",
"short_module": "HST"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack",
"short_module": "HS"
},
{
"abbrev": true,
"full_module": "LowStar.Buffer",
"short_module": "B"
},
{
"abbrev": false,
"full_module": "EverParse3d.InputStream.Extern",
"short_module": null
},
{
"abbrev": false,
"full_module": "EverParse3d.InputStream.Extern",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 2,
"max_fuel": 0,
"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": [
"smt.qi.eager_threshold=100"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 8,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
x: EverParse3d.InputStream.Extern.Base.t ->
n: FStar.UInt64.t ->
h: FStar.Monotonic.HyperStack.mem ->
dst': LowStar.Buffer.buffer FStar.UInt8.t ->
h': FStar.Monotonic.HyperStack.mem
-> Prims.prop | Prims.Tot | [
"total"
] | [] | [
"EverParse3d.InputStream.Extern.Base.extra_t",
"EverParse3d.InputStream.Extern.Base.t",
"FStar.UInt64.t",
"FStar.Monotonic.HyperStack.mem",
"LowStar.Buffer.buffer",
"FStar.UInt8.t",
"Prims.l_and",
"EverParse3d.InputStream.Extern.Base.peep_pre",
"LowStar.Monotonic.Buffer.modifies",
"LowStar.Monotonic.Buffer.loc_none",
"Prims.l_imp",
"Prims.l_not",
"Prims.b2t",
"LowStar.Monotonic.Buffer.g_is_null",
"LowStar.Buffer.trivial_preorder",
"FStar.Seq.Base.equal",
"LowStar.Monotonic.Buffer.as_seq",
"FStar.Seq.Base.slice",
"FStar.UInt64.v",
"LowStar.Monotonic.Buffer.live",
"LowStar.Monotonic.Buffer.loc_includes",
"EverParse3d.InputStream.Extern.Base.footprint",
"LowStar.Monotonic.Buffer.loc_buffer",
"FStar.Seq.Base.seq",
"EverParse3d.InputStream.Extern.Base.get_remaining",
"Prims.prop"
] | [] | false | false | false | true | true | let peep_post
(#[EverParse3d.Util.solve_from_ctx ()] _extra_t: extra_t)
(x: t)
(n: U64.t)
(h: HS.mem)
(dst': B.buffer U8.t)
(h': HS.mem)
: Tot prop =
| peep_pre x n h /\
(let s = get_remaining x h in
B.modifies B.loc_none h h' /\
((~(B.g_is_null dst')) ==>
((B.as_seq h' dst') `Seq.equal` (Seq.slice s 0 (U64.v n)) /\ B.live h' dst' /\
(footprint x) `B.loc_includes` (B.loc_buffer dst')))) | false |
EverParse3d.InputStream.Extern.fst | EverParse3d.InputStream.Extern.read0 | val read0
(#[EverParse3d.Util.solve_from_ctx ()] _extra_t: Aux.extra_t)
(x: t)
(position: LPE.pos_t)
(n: U64.t)
(dst: B.buffer U8.t)
: HST.Stack (B.buffer U8.t)
(requires
(fun h ->
live x h /\ B.live h dst /\ B.loc_disjoint (footprint x) (B.loc_buffer dst) /\
U64.v position == Seq.length (get_read x h) /\ B.length dst == U64.v n /\
Seq.length (get_remaining x h) >= U64.v n))
(ensures
(fun h dst' h' ->
let s = get_remaining x h in
B.modifies ((B.loc_buffer dst) `B.loc_union` (perm_footprint x)) h h' /\
(B.as_seq h' dst') `Seq.equal` (Seq.slice s 0 (U64.v n)) /\ live x h' /\ B.live h' dst /\
B.live h' dst' /\
((B.loc_buffer dst) `B.loc_union` (footprint x)) `B.loc_includes` (B.loc_buffer dst') /\
get_remaining x h' == Seq.slice s (U64.v n) (Seq.length s))) | val read0
(#[EverParse3d.Util.solve_from_ctx ()] _extra_t: Aux.extra_t)
(x: t)
(position: LPE.pos_t)
(n: U64.t)
(dst: B.buffer U8.t)
: HST.Stack (B.buffer U8.t)
(requires
(fun h ->
live x h /\ B.live h dst /\ B.loc_disjoint (footprint x) (B.loc_buffer dst) /\
U64.v position == Seq.length (get_read x h) /\ B.length dst == U64.v n /\
Seq.length (get_remaining x h) >= U64.v n))
(ensures
(fun h dst' h' ->
let s = get_remaining x h in
B.modifies ((B.loc_buffer dst) `B.loc_union` (perm_footprint x)) h h' /\
(B.as_seq h' dst') `Seq.equal` (Seq.slice s 0 (U64.v n)) /\ live x h' /\ B.live h' dst /\
B.live h' dst' /\
((B.loc_buffer dst) `B.loc_union` (footprint x)) `B.loc_includes` (B.loc_buffer dst') /\
get_remaining x h' == Seq.slice s (U64.v n) (Seq.length s))) | let read0
(#[EverParse3d.Util.solve_from_ctx ()] _extra_t: Aux.extra_t)
(x: t)
(position: LPE.pos_t)
(n: U64.t)
(dst: B.buffer U8.t)
: HST.Stack (B.buffer U8.t)
(requires (fun h ->
live x h /\
B.live h dst /\
B.loc_disjoint (footprint x) (B.loc_buffer dst) /\
U64.v position == Seq.length (get_read x h) /\
B.length dst == U64.v n /\
Seq.length (get_remaining x h) >= U64.v n
))
(ensures (fun h dst' h' ->
let s = get_remaining x h in
B.modifies (B.loc_buffer dst `B.loc_union` perm_footprint x) h h' /\
B.as_seq h' dst' `Seq.equal` Seq.slice s 0 (U64.v n) /\
live x h' /\
B.live h' dst /\
B.live h' dst' /\
(B.loc_buffer dst `B.loc_union` footprint x) `B.loc_includes` B.loc_buffer dst' /\
get_remaining x h' == Seq.slice s (U64.v n) (Seq.length s)
))
=
let h0 = HST.get () in
let dst = Aux.read x.Aux.base n dst in
let h1 = HST.get () in
x.Aux.position *= Ghost.hide (position `U64.add` n);
let h2 = HST.get () in
Aux.preserved x.Aux.base (B.loc_buffer x.Aux.position) h1 h2;
get_remaining_eq x h0;
get_remaining_eq x h2;
assert (
let s = get_remaining x h0 in
live x h2 /\
get_remaining x h2 `Seq.equal` Seq.slice s (U64.v n) (Seq.length s)
);
dst | {
"file_name": "src/3d/prelude/extern/EverParse3d.InputStream.Extern.fst",
"git_rev": "00217c4a89f5ba56002ba9aa5b4a9d5903bfe9fa",
"git_url": "https://github.com/project-everest/everparse.git",
"project_name": "everparse"
} | {
"end_col": 5,
"end_line": 178,
"start_col": 0,
"start_line": 139
} | module EverParse3d.InputStream.Extern
module B = LowStar.Buffer
module HS = FStar.HyperStack
module HST = FStar.HyperStack.ST
module U32 = FStar.UInt32
module U8 = FStar.UInt8
module U64 = FStar.UInt64
module LPE = EverParse3d.ErrorCode
module Aux = EverParse3d.InputStream.Extern.Type
inline_for_extraction
noextract
let t = Aux.input_buffer
let len_all
(x: t)
: GTot LPE.pos_t
= if x.Aux.has_length
then x.Aux.length
else Aux.len_all x.Aux.base
let live
(x: t)
(m: HS.mem)
: Tot prop
= let read = U64.v (B.deref m x.Aux.position) in
Aux.live x.Aux.base m /\
B.live m x.Aux.position /\
read <= U64.v (len_all x) /\
read == Seq.length (Aux.get_read x.Aux.base m)
let footprint
(x: t)
: Ghost B.loc
(requires True)
(ensures (fun y -> B.address_liveness_insensitive_locs `B.loc_includes` y))
= Aux.footprint x.Aux.base `B.loc_union` B.loc_buffer x.Aux.position
let perm_footprint
(x: t)
: Ghost B.loc
(requires True)
(ensures (fun y -> footprint x `B.loc_includes` y))
= footprint x
let live_not_unused_in
(x: t)
(h: HS.mem)
: Lemma
(requires (live x h))
(ensures (B.loc_not_unused_in h `B.loc_includes` footprint x))
= Aux.live_not_unused_in x.Aux.base h
let get_all (x: t) : Ghost (Seq.seq U8.t)
(requires True)
(ensures (fun y -> Seq.length y == U64.v (len_all x)))
= Seq.slice (Aux.get_all x.Aux.base) 0 (U64.v (len_all x))
let get_remaining (x: t) (h: HS.mem) : Ghost (Seq.seq U8.t)
(requires (live x h))
(ensures (fun y -> Seq.length y <= U64.v (len_all x)))
= let r = U64.v (B.deref h x.Aux.position) in
Seq.slice (get_all x) r (U64.v (len_all x))
let get_read (x: t) (h: HS.mem) : Ghost (Seq.seq U8.t)
(requires (live x h))
(ensures (fun y -> get_all x `Seq.equal` (y `Seq.append` get_remaining x h)))
= Aux.get_read x.Aux.base h
// #push-options "--quake 10"
let get_remaining_eq // this is the crucial lemma for peep0_exit to work
(x: t) (h: HS.mem)
: Lemma
(requires (
live x h
))
(ensures (
live x h /\
get_remaining x h == Seq.slice (Aux.get_remaining x.Aux.base h) 0 (U64.v (len_all x) - Seq.length (get_read x h))
))
// [SMTPat (get_remaining x h)] // TODO: test this pattern with other proofs besides peep
= let len_read = Seq.length (get_read x h) in
Seq.lemma_split (get_all x) len_read;
Seq.lemma_append_inj (get_read x h) (get_remaining x h) (Seq.slice (get_all x) 0 len_read) (Seq.slice (get_all x) len_read (Seq.length (get_all x)));
let _ = Aux.get_read x.Aux.base h in
Seq.lemma_split (Aux.get_all x.Aux.base) len_read;
Seq.lemma_append_inj (get_read x h) (Aux.get_remaining x.Aux.base h) (Seq.slice (Aux.get_all x.Aux.base) 0 len_read) (Seq.slice (Aux.get_all x.Aux.base) len_read (Seq.length (Aux.get_all x.Aux.base)))
// #pop-options
let preserved
(x: t)
(l: B.loc)
(h: HS.mem)
(h' : HS.mem)
: Lemma
(requires (live x h /\ B.modifies l h h' /\ B.loc_disjoint (footprint x) l))
(ensures (
live x h' /\
get_remaining x h' == get_remaining x h /\
get_read x h' == get_read x h
))
=
Aux.preserved x.Aux.base l h h'
open LowStar.BufferOps
inline_for_extraction
noextract
let has
(#[EverParse3d.Util.solve_from_ctx ()] _extra_t: Aux.extra_t)
(x: t)
(_: unit)
(position: LPE.pos_t)
(n: U64.t)
: HST.Stack bool
(requires (fun h ->
live x h /\
U64.v position == Seq.length (get_read x h)
))
(ensures (fun h res h' ->
B.modifies B.loc_none h h' /\
(res == true <==> Seq.length (get_remaining x h) >= U64.v n)
))
=
if x.Aux.has_length
then
n `U64.lte` (x.Aux.length `U64.sub` position)
else
Aux.has x.Aux.base n
#push-options "--z3rlimit 64 --fuel 0 --ifuel 1 --z3cliopt smt.arith.nl=false --using_facts_from '* -FStar.Tactics -FStar.Reflection -FStar.Seq.Properties.slice_slice'"
#restart-solver
inline_for_extraction | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"LowStar.BufferOps.fst.checked",
"LowStar.Buffer.fst.checked",
"LowParse.Low.Base.fst.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt64.fsti.checked",
"FStar.UInt32.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.HyperStack.ST.fsti.checked",
"FStar.HyperStack.fst.checked",
"FStar.Ghost.fsti.checked",
"FStar.Classical.fsti.checked",
"EverParse3d.Util.fst.checked",
"EverParse3d.InputStream.Extern.Type.fst.checked",
"EverParse3d.ErrorCode.fst.checked"
],
"interface_file": false,
"source_file": "EverParse3d.InputStream.Extern.fst"
} | [
{
"abbrev": false,
"full_module": "LowStar.BufferOps",
"short_module": null
},
{
"abbrev": true,
"full_module": "EverParse3d.InputStream.Extern.Type",
"short_module": "Aux"
},
{
"abbrev": true,
"full_module": "EverParse3d.ErrorCode",
"short_module": "LPE"
},
{
"abbrev": true,
"full_module": "FStar.UInt64",
"short_module": "U64"
},
{
"abbrev": true,
"full_module": "FStar.UInt8",
"short_module": "U8"
},
{
"abbrev": true,
"full_module": "FStar.UInt32",
"short_module": "U32"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack.ST",
"short_module": "HST"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack",
"short_module": "HS"
},
{
"abbrev": true,
"full_module": "LowStar.Buffer",
"short_module": "B"
},
{
"abbrev": false,
"full_module": "EverParse3d.InputStream",
"short_module": null
},
{
"abbrev": false,
"full_module": "EverParse3d.InputStream",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 0,
"initial_ifuel": 1,
"max_fuel": 0,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": 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": [
"smt.qi.eager_threshold=100",
"smt.arith.nl=false"
],
"z3refresh": false,
"z3rlimit": 64,
"z3rlimit_factor": 8,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
x: EverParse3d.InputStream.Extern.t ->
position: EverParse3d.ErrorCode.pos_t ->
n: FStar.UInt64.t ->
dst: LowStar.Buffer.buffer FStar.UInt8.t
-> FStar.HyperStack.ST.Stack (LowStar.Buffer.buffer FStar.UInt8.t) | FStar.HyperStack.ST.Stack | [] | [] | [
"EverParse3d.InputStream.Extern.Base.extra_t",
"EverParse3d.InputStream.Extern.t",
"EverParse3d.ErrorCode.pos_t",
"FStar.UInt64.t",
"LowStar.Buffer.buffer",
"FStar.UInt8.t",
"Prims.unit",
"Prims._assert",
"Prims.l_and",
"EverParse3d.InputStream.Extern.live",
"FStar.Seq.Base.equal",
"EverParse3d.InputStream.Extern.get_remaining",
"FStar.Seq.Base.slice",
"FStar.UInt64.v",
"FStar.Seq.Base.length",
"FStar.Seq.Base.seq",
"EverParse3d.InputStream.Extern.get_remaining_eq",
"EverParse3d.InputStream.Extern.Base.preserved",
"EverParse3d.InputStream.Extern.Type.__proj__Mkinput_buffer__item__base",
"LowStar.Monotonic.Buffer.loc_buffer",
"FStar.Ghost.erased",
"LowStar.Buffer.trivial_preorder",
"EverParse3d.InputStream.Extern.Type.__proj__Mkinput_buffer__item__position",
"FStar.Monotonic.HyperStack.mem",
"FStar.HyperStack.ST.get",
"LowStar.BufferOps.op_Star_Equals",
"FStar.Ghost.hide",
"FStar.UInt64.add",
"EverParse3d.InputStream.Extern.Base.read",
"LowStar.Monotonic.Buffer.live",
"LowStar.Monotonic.Buffer.loc_disjoint",
"EverParse3d.InputStream.Extern.footprint",
"Prims.eq2",
"Prims.int",
"Prims.l_or",
"FStar.UInt.size",
"FStar.UInt64.n",
"Prims.b2t",
"Prims.op_GreaterThanOrEqual",
"EverParse3d.InputStream.Extern.get_read",
"LowStar.Monotonic.Buffer.length",
"LowStar.Monotonic.Buffer.modifies",
"LowStar.Monotonic.Buffer.loc_union",
"EverParse3d.InputStream.Extern.perm_footprint",
"LowStar.Monotonic.Buffer.as_seq",
"LowStar.Monotonic.Buffer.loc_includes"
] | [] | false | true | false | false | false | let read0
(#[EverParse3d.Util.solve_from_ctx ()] _extra_t: Aux.extra_t)
(x: t)
(position: LPE.pos_t)
(n: U64.t)
(dst: B.buffer U8.t)
: HST.Stack (B.buffer U8.t)
(requires
(fun h ->
live x h /\ B.live h dst /\ B.loc_disjoint (footprint x) (B.loc_buffer dst) /\
U64.v position == Seq.length (get_read x h) /\ B.length dst == U64.v n /\
Seq.length (get_remaining x h) >= U64.v n))
(ensures
(fun h dst' h' ->
let s = get_remaining x h in
B.modifies ((B.loc_buffer dst) `B.loc_union` (perm_footprint x)) h h' /\
(B.as_seq h' dst') `Seq.equal` (Seq.slice s 0 (U64.v n)) /\ live x h' /\ B.live h' dst /\
B.live h' dst' /\
((B.loc_buffer dst) `B.loc_union` (footprint x)) `B.loc_includes` (B.loc_buffer dst') /\
get_remaining x h' == Seq.slice s (U64.v n) (Seq.length s))) =
| let h0 = HST.get () in
let dst = Aux.read x.Aux.base n dst in
let h1 = HST.get () in
x.Aux.position *= Ghost.hide (position `U64.add` n);
let h2 = HST.get () in
Aux.preserved x.Aux.base (B.loc_buffer x.Aux.position) h1 h2;
get_remaining_eq x h0;
get_remaining_eq x h2;
assert (let s = get_remaining x h0 in
live x h2 /\ (get_remaining x h2) `Seq.equal` (Seq.slice s (U64.v n) (Seq.length s)));
dst | false |
LowStar.BufferCompat.fst | LowStar.BufferCompat.rcreate_post_mem_common | val rcreate_post_mem_common : r: FStar.Monotonic.HyperHeap.rid ->
len: Prims.nat ->
b: LowStar.Buffer.buffer a ->
h0: FStar.Monotonic.HyperStack.mem ->
h1: FStar.Monotonic.HyperStack.mem ->
s: FStar.Seq.Base.seq a
-> Prims.logical | let rcreate_post_mem_common
(#a: Type)
(r: HS.rid)
(len: nat)
(b: buffer a)
(h0 h1: HS.mem)
(s:Seq.seq a)
= alloc_post_mem_common b h0 h1 s /\ frameOf b == r /\ length b == len | {
"file_name": "ulib/legacy/LowStar.BufferCompat.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 70,
"end_line": 33,
"start_col": 0,
"start_line": 26
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module LowStar.BufferCompat
include LowStar.Buffer
module HS = FStar.HyperStack
module HST = FStar.HyperStack.ST
module U32 = FStar.UInt32
module G = FStar.Ghost
module Seq = FStar.Seq | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"LowStar.Buffer.fst.checked",
"FStar.UInt32.fsti.checked",
"FStar.Set.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Map.fsti.checked",
"FStar.List.Tot.fst.checked",
"FStar.HyperStack.ST.fsti.checked",
"FStar.HyperStack.fst.checked",
"FStar.Ghost.fsti.checked"
],
"interface_file": false,
"source_file": "LowStar.BufferCompat.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "Seq"
},
{
"abbrev": true,
"full_module": "FStar.Ghost",
"short_module": "G"
},
{
"abbrev": true,
"full_module": "FStar.UInt32",
"short_module": "U32"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack.ST",
"short_module": "HST"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack",
"short_module": "HS"
},
{
"abbrev": false,
"full_module": "LowStar.Buffer",
"short_module": null
},
{
"abbrev": false,
"full_module": "LowStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "LowStar",
"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 |
r: FStar.Monotonic.HyperHeap.rid ->
len: Prims.nat ->
b: LowStar.Buffer.buffer a ->
h0: FStar.Monotonic.HyperStack.mem ->
h1: FStar.Monotonic.HyperStack.mem ->
s: FStar.Seq.Base.seq a
-> Prims.logical | Prims.Tot | [
"total"
] | [] | [
"FStar.Monotonic.HyperHeap.rid",
"Prims.nat",
"LowStar.Buffer.buffer",
"FStar.Monotonic.HyperStack.mem",
"FStar.Seq.Base.seq",
"Prims.l_and",
"LowStar.Monotonic.Buffer.alloc_post_mem_common",
"LowStar.Buffer.trivial_preorder",
"Prims.eq2",
"LowStar.Monotonic.Buffer.frameOf",
"LowStar.Monotonic.Buffer.length",
"Prims.logical"
] | [] | false | false | false | true | true | let rcreate_post_mem_common
(#a: Type)
(r: HS.rid)
(len: nat)
(b: buffer a)
(h0 h1: HS.mem)
(s: Seq.seq a)
=
| alloc_post_mem_common b h0 h1 s /\ frameOf b == r /\ length b == len | false |
|
LowStar.BufferCompat.fst | LowStar.BufferCompat.rfree | val rfree (#a: Type) (b: buffer a)
: HST.ST unit
(requires (fun h0 -> live h0 b /\ freeable b))
(ensures
(fun h0 _ h1 ->
(not (g_is_null b)) /\
(Map.domain (HS.get_hmap h1)) `Set.equal` (Map.domain (HS.get_hmap h0)) /\
(HS.get_tip h1) == (HS.get_tip h0) /\ modifies (loc_addr_of_buffer b) h0 h1 /\
HS.live_region h1 (frameOf b))) | val rfree (#a: Type) (b: buffer a)
: HST.ST unit
(requires (fun h0 -> live h0 b /\ freeable b))
(ensures
(fun h0 _ h1 ->
(not (g_is_null b)) /\
(Map.domain (HS.get_hmap h1)) `Set.equal` (Map.domain (HS.get_hmap h0)) /\
(HS.get_tip h1) == (HS.get_tip h0) /\ modifies (loc_addr_of_buffer b) h0 h1 /\
HS.live_region h1 (frameOf b))) | let rfree
(#a: Type)
(b: buffer a)
: HST.ST unit
(requires (fun h0 -> live h0 b /\ freeable b))
(ensures (fun h0 _ h1 ->
(not (g_is_null b)) /\
Map.domain (HS.get_hmap h1) `Set.equal` Map.domain (HS.get_hmap h0) /\
(HS.get_tip h1) == (HS.get_tip h0) /\
modifies (loc_addr_of_buffer b) h0 h1 /\
HS.live_region h1 (frameOf b)
))
= free b | {
"file_name": "ulib/legacy/LowStar.BufferCompat.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 8,
"end_line": 48,
"start_col": 0,
"start_line": 36
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module LowStar.BufferCompat
include LowStar.Buffer
module HS = FStar.HyperStack
module HST = FStar.HyperStack.ST
module U32 = FStar.UInt32
module G = FStar.Ghost
module Seq = FStar.Seq
unfold
let rcreate_post_mem_common
(#a: Type)
(r: HS.rid)
(len: nat)
(b: buffer a)
(h0 h1: HS.mem)
(s:Seq.seq a)
= alloc_post_mem_common b h0 h1 s /\ frameOf b == r /\ length b == len | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"LowStar.Buffer.fst.checked",
"FStar.UInt32.fsti.checked",
"FStar.Set.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Map.fsti.checked",
"FStar.List.Tot.fst.checked",
"FStar.HyperStack.ST.fsti.checked",
"FStar.HyperStack.fst.checked",
"FStar.Ghost.fsti.checked"
],
"interface_file": false,
"source_file": "LowStar.BufferCompat.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "Seq"
},
{
"abbrev": true,
"full_module": "FStar.Ghost",
"short_module": "G"
},
{
"abbrev": true,
"full_module": "FStar.UInt32",
"short_module": "U32"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack.ST",
"short_module": "HST"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack",
"short_module": "HS"
},
{
"abbrev": false,
"full_module": "LowStar.Buffer",
"short_module": null
},
{
"abbrev": false,
"full_module": "LowStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "LowStar",
"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 | b: LowStar.Buffer.buffer a -> FStar.HyperStack.ST.ST Prims.unit | FStar.HyperStack.ST.ST | [] | [] | [
"LowStar.Buffer.buffer",
"LowStar.Monotonic.Buffer.free",
"LowStar.Buffer.trivial_preorder",
"Prims.unit",
"FStar.Monotonic.HyperStack.mem",
"Prims.l_and",
"LowStar.Monotonic.Buffer.live",
"LowStar.Monotonic.Buffer.freeable",
"Prims.b2t",
"Prims.op_Negation",
"LowStar.Monotonic.Buffer.g_is_null",
"FStar.Set.equal",
"FStar.Monotonic.HyperHeap.rid",
"FStar.Map.domain",
"FStar.Monotonic.Heap.heap",
"FStar.Monotonic.HyperStack.get_hmap",
"Prims.eq2",
"FStar.Monotonic.HyperStack.get_tip",
"LowStar.Monotonic.Buffer.modifies",
"LowStar.Monotonic.Buffer.loc_addr_of_buffer",
"FStar.Monotonic.HyperStack.live_region",
"LowStar.Monotonic.Buffer.frameOf"
] | [] | false | true | false | false | false | let rfree (#a: Type) (b: buffer a)
: HST.ST unit
(requires (fun h0 -> live h0 b /\ freeable b))
(ensures
(fun h0 _ h1 ->
(not (g_is_null b)) /\
(Map.domain (HS.get_hmap h1)) `Set.equal` (Map.domain (HS.get_hmap h0)) /\
(HS.get_tip h1) == (HS.get_tip h0) /\ modifies (loc_addr_of_buffer b) h0 h1 /\
HS.live_region h1 (frameOf b))) =
| free b | false |
LowStar.BufferCompat.fst | LowStar.BufferCompat.createL_pre | val createL_pre (#a: Type0) (init: list a) : GTot Type0 | val createL_pre (#a: Type0) (init: list a) : GTot Type0 | let createL_pre (#a: Type0) (init: list a) : GTot Type0 =
alloca_of_list_pre init | {
"file_name": "ulib/legacy/LowStar.BufferCompat.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 25,
"end_line": 92,
"start_col": 7,
"start_line": 91
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module LowStar.BufferCompat
include LowStar.Buffer
module HS = FStar.HyperStack
module HST = FStar.HyperStack.ST
module U32 = FStar.UInt32
module G = FStar.Ghost
module Seq = FStar.Seq
unfold
let rcreate_post_mem_common
(#a: Type)
(r: HS.rid)
(len: nat)
(b: buffer a)
(h0 h1: HS.mem)
(s:Seq.seq a)
= alloc_post_mem_common b h0 h1 s /\ frameOf b == r /\ length b == len
inline_for_extraction
let rfree
(#a: Type)
(b: buffer a)
: HST.ST unit
(requires (fun h0 -> live h0 b /\ freeable b))
(ensures (fun h0 _ h1 ->
(not (g_is_null b)) /\
Map.domain (HS.get_hmap h1) `Set.equal` Map.domain (HS.get_hmap h0) /\
(HS.get_tip h1) == (HS.get_tip h0) /\
modifies (loc_addr_of_buffer b) h0 h1 /\
HS.live_region h1 (frameOf b)
))
= free b
inline_for_extraction
let rcreate
(#a: Type)
(r: HS.rid)
(init: a)
(len: U32.t)
: HST.ST (buffer a)
(requires (fun h -> HST.is_eternal_region r /\ U32.v len > 0))
(ensures (fun h b h' ->
rcreate_post_mem_common r (U32.v len) b h h' (Seq.create (U32.v len) init) /\
recallable b
))
= let b = gcmalloc r init len in
b
inline_for_extraction
let rcreate_mm
(#a: Type)
(r: HS.rid)
(init: a)
(len: U32.t)
: HST.ST (buffer a)
(requires (fun h -> HST.is_eternal_region r /\ U32.v len > 0))
(ensures (fun h b h' ->
rcreate_post_mem_common r (U32.v len) b h h' (Seq.create (U32.v len) init) /\
freeable b
))
= malloc r init len
inline_for_extraction
let create
(#a: Type)
(init: a)
(len: U32.t)
: HST.StackInline (buffer a)
(requires (fun h -> U32.v len > 0))
(ensures (fun h b h' ->
rcreate_post_mem_common (HS.get_tip h) (U32.v len) b h h' (Seq.create (U32.v len) init)
))
= alloca init len | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"LowStar.Buffer.fst.checked",
"FStar.UInt32.fsti.checked",
"FStar.Set.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Map.fsti.checked",
"FStar.List.Tot.fst.checked",
"FStar.HyperStack.ST.fsti.checked",
"FStar.HyperStack.fst.checked",
"FStar.Ghost.fsti.checked"
],
"interface_file": false,
"source_file": "LowStar.BufferCompat.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "Seq"
},
{
"abbrev": true,
"full_module": "FStar.Ghost",
"short_module": "G"
},
{
"abbrev": true,
"full_module": "FStar.UInt32",
"short_module": "U32"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack.ST",
"short_module": "HST"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack",
"short_module": "HS"
},
{
"abbrev": false,
"full_module": "LowStar.Buffer",
"short_module": null
},
{
"abbrev": false,
"full_module": "LowStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "LowStar",
"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 | init: Prims.list a -> Prims.GTot Type0 | Prims.GTot | [
"sometrivial"
] | [] | [
"Prims.list",
"LowStar.Monotonic.Buffer.alloca_of_list_pre"
] | [] | false | false | false | false | true | let createL_pre (#a: Type0) (init: list a) : GTot Type0 =
| alloca_of_list_pre init | false |
Hacl.Bignum32.fsti | Hacl.Bignum32.lbignum | val lbignum : t: Hacl.Bignum.Definitions.limb_t -> len: Lib.IntTypes.size_t -> Type0 | let lbignum = Hacl.Bignum.Definitions.lbignum | {
"file_name": "code/bignum/Hacl.Bignum32.fsti",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 45,
"end_line": 15,
"start_col": 0,
"start_line": 15
} | module Hacl.Bignum32
open FStar.Mul
module BN = Hacl.Bignum
module BS = Hacl.Bignum.SafeAPI
module MA = Hacl.Bignum.MontArithmetic
#set-options "--z3rlimit 50 --fuel 0 --ifuel 0"
inline_for_extraction noextract
let t_limbs: Hacl.Bignum.Definitions.limb_t = Lib.IntTypes.U32 | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"Lib.IntTypes.fsti.checked",
"Hacl.Bignum.SafeAPI.fst.checked",
"Hacl.Bignum.MontArithmetic.fsti.checked",
"Hacl.Bignum.Definitions.fst.checked",
"Hacl.Bignum.Convert.fst.checked",
"Hacl.Bignum.fsti.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.Ghost.fsti.checked"
],
"interface_file": false,
"source_file": "Hacl.Bignum32.fsti"
} | [
{
"abbrev": true,
"full_module": "Hacl.Bignum.MontArithmetic",
"short_module": "MA"
},
{
"abbrev": true,
"full_module": "Hacl.Bignum.SafeAPI",
"short_module": "BS"
},
{
"abbrev": true,
"full_module": "Hacl.Bignum",
"short_module": "BN"
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 0,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | t: Hacl.Bignum.Definitions.limb_t -> len: Lib.IntTypes.size_t -> Type0 | Prims.Tot | [
"total"
] | [] | [
"Hacl.Bignum.Definitions.lbignum"
] | [] | false | false | false | true | true | let lbignum =
| Hacl.Bignum.Definitions.lbignum | false |
|
Hacl.Bignum32.fsti | Hacl.Bignum32.t_limbs | val t_limbs:Hacl.Bignum.Definitions.limb_t | val t_limbs:Hacl.Bignum.Definitions.limb_t | let t_limbs: Hacl.Bignum.Definitions.limb_t = Lib.IntTypes.U32 | {
"file_name": "code/bignum/Hacl.Bignum32.fsti",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 62,
"end_line": 12,
"start_col": 0,
"start_line": 12
} | module Hacl.Bignum32
open FStar.Mul
module BN = Hacl.Bignum
module BS = Hacl.Bignum.SafeAPI
module MA = Hacl.Bignum.MontArithmetic
#set-options "--z3rlimit 50 --fuel 0 --ifuel 0" | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"Lib.IntTypes.fsti.checked",
"Hacl.Bignum.SafeAPI.fst.checked",
"Hacl.Bignum.MontArithmetic.fsti.checked",
"Hacl.Bignum.Definitions.fst.checked",
"Hacl.Bignum.Convert.fst.checked",
"Hacl.Bignum.fsti.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.Ghost.fsti.checked"
],
"interface_file": false,
"source_file": "Hacl.Bignum32.fsti"
} | [
{
"abbrev": true,
"full_module": "Hacl.Bignum.MontArithmetic",
"short_module": "MA"
},
{
"abbrev": true,
"full_module": "Hacl.Bignum.SafeAPI",
"short_module": "BS"
},
{
"abbrev": true,
"full_module": "Hacl.Bignum",
"short_module": "BN"
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 0,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | Hacl.Bignum.Definitions.limb_t | Prims.Tot | [
"total"
] | [] | [
"Lib.IntTypes.U32"
] | [] | false | false | false | true | false | let t_limbs:Hacl.Bignum.Definitions.limb_t =
| Lib.IntTypes.U32 | false |
LowStar.BufferCompat.fst | LowStar.BufferCompat.createL | val createL (#a: Type0) (init: list a)
: HST.StackInline (buffer a)
(requires (fun h -> createL_pre #a init))
(ensures
(fun h b h' ->
let len = FStar.List.Tot.length init in
rcreate_post_mem_common (HS.get_tip h) len b h h' (Seq.seq_of_list init) /\
length b == normalize_term (List.Tot.length init))) | val createL (#a: Type0) (init: list a)
: HST.StackInline (buffer a)
(requires (fun h -> createL_pre #a init))
(ensures
(fun h b h' ->
let len = FStar.List.Tot.length init in
rcreate_post_mem_common (HS.get_tip h) len b h h' (Seq.seq_of_list init) /\
length b == normalize_term (List.Tot.length init))) | let createL
(#a: Type0)
(init: list a)
: HST.StackInline (buffer a)
(requires (fun h -> createL_pre #a init))
(ensures (fun h b h' ->
let len = FStar.List.Tot.length init in
rcreate_post_mem_common (HS.get_tip h) len b h h' (Seq.seq_of_list init) /\
length b == normalize_term (List.Tot.length init)
))
= alloca_of_list init | {
"file_name": "ulib/legacy/LowStar.BufferCompat.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 21,
"end_line": 104,
"start_col": 0,
"start_line": 94
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module LowStar.BufferCompat
include LowStar.Buffer
module HS = FStar.HyperStack
module HST = FStar.HyperStack.ST
module U32 = FStar.UInt32
module G = FStar.Ghost
module Seq = FStar.Seq
unfold
let rcreate_post_mem_common
(#a: Type)
(r: HS.rid)
(len: nat)
(b: buffer a)
(h0 h1: HS.mem)
(s:Seq.seq a)
= alloc_post_mem_common b h0 h1 s /\ frameOf b == r /\ length b == len
inline_for_extraction
let rfree
(#a: Type)
(b: buffer a)
: HST.ST unit
(requires (fun h0 -> live h0 b /\ freeable b))
(ensures (fun h0 _ h1 ->
(not (g_is_null b)) /\
Map.domain (HS.get_hmap h1) `Set.equal` Map.domain (HS.get_hmap h0) /\
(HS.get_tip h1) == (HS.get_tip h0) /\
modifies (loc_addr_of_buffer b) h0 h1 /\
HS.live_region h1 (frameOf b)
))
= free b
inline_for_extraction
let rcreate
(#a: Type)
(r: HS.rid)
(init: a)
(len: U32.t)
: HST.ST (buffer a)
(requires (fun h -> HST.is_eternal_region r /\ U32.v len > 0))
(ensures (fun h b h' ->
rcreate_post_mem_common r (U32.v len) b h h' (Seq.create (U32.v len) init) /\
recallable b
))
= let b = gcmalloc r init len in
b
inline_for_extraction
let rcreate_mm
(#a: Type)
(r: HS.rid)
(init: a)
(len: U32.t)
: HST.ST (buffer a)
(requires (fun h -> HST.is_eternal_region r /\ U32.v len > 0))
(ensures (fun h b h' ->
rcreate_post_mem_common r (U32.v len) b h h' (Seq.create (U32.v len) init) /\
freeable b
))
= malloc r init len
inline_for_extraction
let create
(#a: Type)
(init: a)
(len: U32.t)
: HST.StackInline (buffer a)
(requires (fun h -> U32.v len > 0))
(ensures (fun h b h' ->
rcreate_post_mem_common (HS.get_tip h) (U32.v len) b h h' (Seq.create (U32.v len) init)
))
= alloca init len
unfold let createL_pre (#a: Type0) (init: list a) : GTot Type0 =
alloca_of_list_pre init | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"LowStar.Buffer.fst.checked",
"FStar.UInt32.fsti.checked",
"FStar.Set.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Map.fsti.checked",
"FStar.List.Tot.fst.checked",
"FStar.HyperStack.ST.fsti.checked",
"FStar.HyperStack.fst.checked",
"FStar.Ghost.fsti.checked"
],
"interface_file": false,
"source_file": "LowStar.BufferCompat.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "Seq"
},
{
"abbrev": true,
"full_module": "FStar.Ghost",
"short_module": "G"
},
{
"abbrev": true,
"full_module": "FStar.UInt32",
"short_module": "U32"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack.ST",
"short_module": "HST"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack",
"short_module": "HS"
},
{
"abbrev": false,
"full_module": "LowStar.Buffer",
"short_module": null
},
{
"abbrev": false,
"full_module": "LowStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "LowStar",
"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 | init: Prims.list a -> FStar.HyperStack.ST.StackInline (LowStar.Buffer.buffer a) | FStar.HyperStack.ST.StackInline | [] | [] | [
"Prims.list",
"LowStar.Buffer.alloca_of_list",
"LowStar.Monotonic.Buffer.mbuffer",
"LowStar.Buffer.trivial_preorder",
"Prims.l_and",
"Prims.eq2",
"Prims.nat",
"LowStar.Monotonic.Buffer.length",
"FStar.Pervasives.normalize_term",
"FStar.List.Tot.Base.length",
"Prims.b2t",
"Prims.op_Negation",
"LowStar.Monotonic.Buffer.g_is_null",
"LowStar.Buffer.buffer",
"FStar.Monotonic.HyperStack.mem",
"LowStar.BufferCompat.createL_pre",
"LowStar.BufferCompat.rcreate_post_mem_common",
"FStar.Monotonic.HyperStack.get_tip",
"FStar.Seq.Base.seq_of_list"
] | [] | false | true | false | false | false | let createL (#a: Type0) (init: list a)
: HST.StackInline (buffer a)
(requires (fun h -> createL_pre #a init))
(ensures
(fun h b h' ->
let len = FStar.List.Tot.length init in
rcreate_post_mem_common (HS.get_tip h) len b h h' (Seq.seq_of_list init) /\
length b == normalize_term (List.Tot.length init))) =
| alloca_of_list init | false |
Hacl.Bignum32.fsti | Hacl.Bignum32.pbn_mont_ctx_u32 | val pbn_mont_ctx_u32 : Type0 | let pbn_mont_ctx_u32 = MA.pbn_mont_ctx_u32 | {
"file_name": "code/bignum/Hacl.Bignum32.fsti",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 42,
"end_line": 17,
"start_col": 0,
"start_line": 17
} | module Hacl.Bignum32
open FStar.Mul
module BN = Hacl.Bignum
module BS = Hacl.Bignum.SafeAPI
module MA = Hacl.Bignum.MontArithmetic
#set-options "--z3rlimit 50 --fuel 0 --ifuel 0"
inline_for_extraction noextract
let t_limbs: Hacl.Bignum.Definitions.limb_t = Lib.IntTypes.U32
inline_for_extraction noextract
let lbignum = Hacl.Bignum.Definitions.lbignum | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"Lib.IntTypes.fsti.checked",
"Hacl.Bignum.SafeAPI.fst.checked",
"Hacl.Bignum.MontArithmetic.fsti.checked",
"Hacl.Bignum.Definitions.fst.checked",
"Hacl.Bignum.Convert.fst.checked",
"Hacl.Bignum.fsti.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.Ghost.fsti.checked"
],
"interface_file": false,
"source_file": "Hacl.Bignum32.fsti"
} | [
{
"abbrev": true,
"full_module": "Hacl.Bignum.MontArithmetic",
"short_module": "MA"
},
{
"abbrev": true,
"full_module": "Hacl.Bignum.SafeAPI",
"short_module": "BS"
},
{
"abbrev": true,
"full_module": "Hacl.Bignum",
"short_module": "BN"
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 0,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | Type0 | Prims.Tot | [
"total"
] | [] | [
"Hacl.Bignum.MontArithmetic.pbn_mont_ctx_u32"
] | [] | false | false | false | true | true | let pbn_mont_ctx_u32 =
| MA.pbn_mont_ctx_u32 | false |
|
LowStar.BufferCompat.fst | LowStar.BufferCompat.rcreate | val rcreate (#a: Type) (r: HS.rid) (init: a) (len: U32.t)
: HST.ST (buffer a)
(requires (fun h -> HST.is_eternal_region r /\ U32.v len > 0))
(ensures
(fun h b h' ->
rcreate_post_mem_common r (U32.v len) b h h' (Seq.create (U32.v len) init) /\
recallable b)) | val rcreate (#a: Type) (r: HS.rid) (init: a) (len: U32.t)
: HST.ST (buffer a)
(requires (fun h -> HST.is_eternal_region r /\ U32.v len > 0))
(ensures
(fun h b h' ->
rcreate_post_mem_common r (U32.v len) b h h' (Seq.create (U32.v len) init) /\
recallable b)) | let rcreate
(#a: Type)
(r: HS.rid)
(init: a)
(len: U32.t)
: HST.ST (buffer a)
(requires (fun h -> HST.is_eternal_region r /\ U32.v len > 0))
(ensures (fun h b h' ->
rcreate_post_mem_common r (U32.v len) b h h' (Seq.create (U32.v len) init) /\
recallable b
))
= let b = gcmalloc r init len in
b | {
"file_name": "ulib/legacy/LowStar.BufferCompat.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 3,
"end_line": 63,
"start_col": 0,
"start_line": 51
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module LowStar.BufferCompat
include LowStar.Buffer
module HS = FStar.HyperStack
module HST = FStar.HyperStack.ST
module U32 = FStar.UInt32
module G = FStar.Ghost
module Seq = FStar.Seq
unfold
let rcreate_post_mem_common
(#a: Type)
(r: HS.rid)
(len: nat)
(b: buffer a)
(h0 h1: HS.mem)
(s:Seq.seq a)
= alloc_post_mem_common b h0 h1 s /\ frameOf b == r /\ length b == len
inline_for_extraction
let rfree
(#a: Type)
(b: buffer a)
: HST.ST unit
(requires (fun h0 -> live h0 b /\ freeable b))
(ensures (fun h0 _ h1 ->
(not (g_is_null b)) /\
Map.domain (HS.get_hmap h1) `Set.equal` Map.domain (HS.get_hmap h0) /\
(HS.get_tip h1) == (HS.get_tip h0) /\
modifies (loc_addr_of_buffer b) h0 h1 /\
HS.live_region h1 (frameOf b)
))
= free b | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"LowStar.Buffer.fst.checked",
"FStar.UInt32.fsti.checked",
"FStar.Set.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Map.fsti.checked",
"FStar.List.Tot.fst.checked",
"FStar.HyperStack.ST.fsti.checked",
"FStar.HyperStack.fst.checked",
"FStar.Ghost.fsti.checked"
],
"interface_file": false,
"source_file": "LowStar.BufferCompat.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "Seq"
},
{
"abbrev": true,
"full_module": "FStar.Ghost",
"short_module": "G"
},
{
"abbrev": true,
"full_module": "FStar.UInt32",
"short_module": "U32"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack.ST",
"short_module": "HST"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack",
"short_module": "HS"
},
{
"abbrev": false,
"full_module": "LowStar.Buffer",
"short_module": null
},
{
"abbrev": false,
"full_module": "LowStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "LowStar",
"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 | r: FStar.Monotonic.HyperHeap.rid -> init: a -> len: FStar.UInt32.t
-> FStar.HyperStack.ST.ST (LowStar.Buffer.buffer a) | FStar.HyperStack.ST.ST | [] | [] | [
"FStar.Monotonic.HyperHeap.rid",
"FStar.UInt32.t",
"LowStar.Buffer.buffer",
"LowStar.Monotonic.Buffer.mbuffer",
"LowStar.Buffer.trivial_preorder",
"Prims.l_and",
"Prims.eq2",
"Prims.nat",
"LowStar.Monotonic.Buffer.length",
"FStar.UInt32.v",
"Prims.b2t",
"Prims.op_Negation",
"LowStar.Monotonic.Buffer.g_is_null",
"LowStar.Monotonic.Buffer.frameOf",
"LowStar.Monotonic.Buffer.recallable",
"LowStar.Buffer.gcmalloc",
"FStar.Monotonic.HyperStack.mem",
"FStar.HyperStack.ST.is_eternal_region",
"Prims.op_GreaterThan",
"LowStar.BufferCompat.rcreate_post_mem_common",
"FStar.Seq.Base.create"
] | [] | false | true | false | false | false | let rcreate (#a: Type) (r: HS.rid) (init: a) (len: U32.t)
: HST.ST (buffer a)
(requires (fun h -> HST.is_eternal_region r /\ U32.v len > 0))
(ensures
(fun h b h' ->
rcreate_post_mem_common r (U32.v len) b h h' (Seq.create (U32.v len) init) /\
recallable b)) =
| let b = gcmalloc r init len in
b | false |
LowStar.BufferCompat.fst | LowStar.BufferCompat.rcreate_mm | val rcreate_mm (#a: Type) (r: HS.rid) (init: a) (len: U32.t)
: HST.ST (buffer a)
(requires (fun h -> HST.is_eternal_region r /\ U32.v len > 0))
(ensures
(fun h b h' ->
rcreate_post_mem_common r (U32.v len) b h h' (Seq.create (U32.v len) init) /\ freeable b
)) | val rcreate_mm (#a: Type) (r: HS.rid) (init: a) (len: U32.t)
: HST.ST (buffer a)
(requires (fun h -> HST.is_eternal_region r /\ U32.v len > 0))
(ensures
(fun h b h' ->
rcreate_post_mem_common r (U32.v len) b h h' (Seq.create (U32.v len) init) /\ freeable b
)) | let rcreate_mm
(#a: Type)
(r: HS.rid)
(init: a)
(len: U32.t)
: HST.ST (buffer a)
(requires (fun h -> HST.is_eternal_region r /\ U32.v len > 0))
(ensures (fun h b h' ->
rcreate_post_mem_common r (U32.v len) b h h' (Seq.create (U32.v len) init) /\
freeable b
))
= malloc r init len | {
"file_name": "ulib/legacy/LowStar.BufferCompat.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 19,
"end_line": 77,
"start_col": 0,
"start_line": 66
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module LowStar.BufferCompat
include LowStar.Buffer
module HS = FStar.HyperStack
module HST = FStar.HyperStack.ST
module U32 = FStar.UInt32
module G = FStar.Ghost
module Seq = FStar.Seq
unfold
let rcreate_post_mem_common
(#a: Type)
(r: HS.rid)
(len: nat)
(b: buffer a)
(h0 h1: HS.mem)
(s:Seq.seq a)
= alloc_post_mem_common b h0 h1 s /\ frameOf b == r /\ length b == len
inline_for_extraction
let rfree
(#a: Type)
(b: buffer a)
: HST.ST unit
(requires (fun h0 -> live h0 b /\ freeable b))
(ensures (fun h0 _ h1 ->
(not (g_is_null b)) /\
Map.domain (HS.get_hmap h1) `Set.equal` Map.domain (HS.get_hmap h0) /\
(HS.get_tip h1) == (HS.get_tip h0) /\
modifies (loc_addr_of_buffer b) h0 h1 /\
HS.live_region h1 (frameOf b)
))
= free b
inline_for_extraction
let rcreate
(#a: Type)
(r: HS.rid)
(init: a)
(len: U32.t)
: HST.ST (buffer a)
(requires (fun h -> HST.is_eternal_region r /\ U32.v len > 0))
(ensures (fun h b h' ->
rcreate_post_mem_common r (U32.v len) b h h' (Seq.create (U32.v len) init) /\
recallable b
))
= let b = gcmalloc r init len in
b | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"LowStar.Buffer.fst.checked",
"FStar.UInt32.fsti.checked",
"FStar.Set.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Map.fsti.checked",
"FStar.List.Tot.fst.checked",
"FStar.HyperStack.ST.fsti.checked",
"FStar.HyperStack.fst.checked",
"FStar.Ghost.fsti.checked"
],
"interface_file": false,
"source_file": "LowStar.BufferCompat.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "Seq"
},
{
"abbrev": true,
"full_module": "FStar.Ghost",
"short_module": "G"
},
{
"abbrev": true,
"full_module": "FStar.UInt32",
"short_module": "U32"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack.ST",
"short_module": "HST"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack",
"short_module": "HS"
},
{
"abbrev": false,
"full_module": "LowStar.Buffer",
"short_module": null
},
{
"abbrev": false,
"full_module": "LowStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "LowStar",
"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 | r: FStar.Monotonic.HyperHeap.rid -> init: a -> len: FStar.UInt32.t
-> FStar.HyperStack.ST.ST (LowStar.Buffer.buffer a) | FStar.HyperStack.ST.ST | [] | [] | [
"FStar.Monotonic.HyperHeap.rid",
"FStar.UInt32.t",
"LowStar.Buffer.malloc",
"LowStar.Monotonic.Buffer.mbuffer",
"LowStar.Buffer.trivial_preorder",
"Prims.l_and",
"Prims.eq2",
"Prims.nat",
"LowStar.Monotonic.Buffer.length",
"FStar.UInt32.v",
"Prims.b2t",
"Prims.op_Negation",
"LowStar.Monotonic.Buffer.g_is_null",
"LowStar.Monotonic.Buffer.frameOf",
"LowStar.Monotonic.Buffer.freeable",
"LowStar.Buffer.buffer",
"FStar.Monotonic.HyperStack.mem",
"FStar.HyperStack.ST.is_eternal_region",
"Prims.op_GreaterThan",
"LowStar.BufferCompat.rcreate_post_mem_common",
"FStar.Seq.Base.create"
] | [] | false | true | false | false | false | let rcreate_mm (#a: Type) (r: HS.rid) (init: a) (len: U32.t)
: HST.ST (buffer a)
(requires (fun h -> HST.is_eternal_region r /\ U32.v len > 0))
(ensures
(fun h b h' ->
rcreate_post_mem_common r (U32.v len) b h h' (Seq.create (U32.v len) init) /\ freeable b
)) =
| malloc r init len | false |
LowStar.BufferCompat.fst | LowStar.BufferCompat.create | val create (#a: Type) (init: a) (len: U32.t)
: HST.StackInline (buffer a)
(requires (fun h -> U32.v len > 0))
(ensures
(fun h b h' ->
rcreate_post_mem_common (HS.get_tip h) (U32.v len) b h h' (Seq.create (U32.v len) init))
) | val create (#a: Type) (init: a) (len: U32.t)
: HST.StackInline (buffer a)
(requires (fun h -> U32.v len > 0))
(ensures
(fun h b h' ->
rcreate_post_mem_common (HS.get_tip h) (U32.v len) b h h' (Seq.create (U32.v len) init))
) | let create
(#a: Type)
(init: a)
(len: U32.t)
: HST.StackInline (buffer a)
(requires (fun h -> U32.v len > 0))
(ensures (fun h b h' ->
rcreate_post_mem_common (HS.get_tip h) (U32.v len) b h h' (Seq.create (U32.v len) init)
))
= alloca init len | {
"file_name": "ulib/legacy/LowStar.BufferCompat.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": 80
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module LowStar.BufferCompat
include LowStar.Buffer
module HS = FStar.HyperStack
module HST = FStar.HyperStack.ST
module U32 = FStar.UInt32
module G = FStar.Ghost
module Seq = FStar.Seq
unfold
let rcreate_post_mem_common
(#a: Type)
(r: HS.rid)
(len: nat)
(b: buffer a)
(h0 h1: HS.mem)
(s:Seq.seq a)
= alloc_post_mem_common b h0 h1 s /\ frameOf b == r /\ length b == len
inline_for_extraction
let rfree
(#a: Type)
(b: buffer a)
: HST.ST unit
(requires (fun h0 -> live h0 b /\ freeable b))
(ensures (fun h0 _ h1 ->
(not (g_is_null b)) /\
Map.domain (HS.get_hmap h1) `Set.equal` Map.domain (HS.get_hmap h0) /\
(HS.get_tip h1) == (HS.get_tip h0) /\
modifies (loc_addr_of_buffer b) h0 h1 /\
HS.live_region h1 (frameOf b)
))
= free b
inline_for_extraction
let rcreate
(#a: Type)
(r: HS.rid)
(init: a)
(len: U32.t)
: HST.ST (buffer a)
(requires (fun h -> HST.is_eternal_region r /\ U32.v len > 0))
(ensures (fun h b h' ->
rcreate_post_mem_common r (U32.v len) b h h' (Seq.create (U32.v len) init) /\
recallable b
))
= let b = gcmalloc r init len in
b
inline_for_extraction
let rcreate_mm
(#a: Type)
(r: HS.rid)
(init: a)
(len: U32.t)
: HST.ST (buffer a)
(requires (fun h -> HST.is_eternal_region r /\ U32.v len > 0))
(ensures (fun h b h' ->
rcreate_post_mem_common r (U32.v len) b h h' (Seq.create (U32.v len) init) /\
freeable b
))
= malloc r init len | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"LowStar.Buffer.fst.checked",
"FStar.UInt32.fsti.checked",
"FStar.Set.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Map.fsti.checked",
"FStar.List.Tot.fst.checked",
"FStar.HyperStack.ST.fsti.checked",
"FStar.HyperStack.fst.checked",
"FStar.Ghost.fsti.checked"
],
"interface_file": false,
"source_file": "LowStar.BufferCompat.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "Seq"
},
{
"abbrev": true,
"full_module": "FStar.Ghost",
"short_module": "G"
},
{
"abbrev": true,
"full_module": "FStar.UInt32",
"short_module": "U32"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack.ST",
"short_module": "HST"
},
{
"abbrev": true,
"full_module": "FStar.HyperStack",
"short_module": "HS"
},
{
"abbrev": false,
"full_module": "LowStar.Buffer",
"short_module": null
},
{
"abbrev": false,
"full_module": "LowStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "LowStar",
"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 | init: a -> len: FStar.UInt32.t -> FStar.HyperStack.ST.StackInline (LowStar.Buffer.buffer a) | FStar.HyperStack.ST.StackInline | [] | [] | [
"FStar.UInt32.t",
"LowStar.Buffer.alloca",
"LowStar.Monotonic.Buffer.mbuffer",
"LowStar.Buffer.trivial_preorder",
"Prims.l_and",
"Prims.eq2",
"Prims.nat",
"LowStar.Monotonic.Buffer.length",
"FStar.UInt32.v",
"Prims.b2t",
"Prims.op_Negation",
"LowStar.Monotonic.Buffer.g_is_null",
"LowStar.Buffer.buffer",
"FStar.Monotonic.HyperStack.mem",
"Prims.op_GreaterThan",
"LowStar.BufferCompat.rcreate_post_mem_common",
"FStar.Monotonic.HyperStack.get_tip",
"FStar.Seq.Base.create"
] | [] | false | true | false | false | false | let create (#a: Type) (init: a) (len: U32.t)
: HST.StackInline (buffer a)
(requires (fun h -> U32.v len > 0))
(ensures
(fun h b h' ->
rcreate_post_mem_common (HS.get_tip h) (U32.v len) b h h' (Seq.create (U32.v len) init))
) =
| alloca init len | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_code_Poly1305_multiply | val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code | val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code | let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
())))))))))))))))))))))))))) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 32,
"end_line": 47,
"start_col": 0,
"start_line": 24
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : 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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.X64.Decls.va_code | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.X64.Decls.va_Block",
"Vale.X64.Decls.va_CCons",
"Vale.X64.InsBasic.va_code_Mul64Wrap",
"Vale.X64.Decls.va_op_opr64_reg64",
"Vale.X64.Machine_s.rR14",
"Vale.X64.InsBasic.va_code_Mov64",
"Vale.X64.Decls.va_op_dst_opr64_reg64",
"Vale.X64.Machine_s.rR9",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Machine_s.rR11",
"Vale.X64.Machine_s.rR10",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Machine_s.rR8",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.InsBasic.va_code_Add64Wrap",
"Vale.X64.Machine_s.rR13",
"Vale.X64.InsBasic.va_code_Adc64Wrap",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.InsBasic.va_code_IMul64",
"Vale.X64.Decls.va_const_opr64",
"Vale.X64.Decls.va_CNil",
"Vale.X64.Decls.va_code"
] | [] | false | false | false | true | false | let va_code_Poly1305_multiply () =
| (va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx))
(va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx))
(va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx))
(va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRax))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR13))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10
)
(va_op_opr64_reg64 rRdx))
(va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx
))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx)
(va_op_opr64_reg64 rRbp))
(va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64
rR14)
(va_op_opr64_reg64 rRax))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64
rR8)
(va_op_opr64_reg64 rRdx))
(va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64
rRbx)
(va_op_opr64_reg64 rR13)
)
(va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64
rR9)
(va_op_opr64_reg64 rRbx
))
(va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64
rRbx)
(va_op_opr64_reg64
rR8))
(va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64
rR10)
(va_const_opr64
0))
(va_CCons (va_code_IMul64
(va_op_dst_opr64_reg64
rRbp
)
(va_op_opr64_reg64
rR11
))
(va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64
rRbx
)
(va_op_opr64_reg64
rR9
))
(va_CCons
(va_code_Mov64
(
va_op_dst_opr64_reg64
rRax
)
(
va_const_opr64
18446744073709551612
)
)
(va_CCons
(
va_code_Adc64Wrap
(
va_op_dst_opr64_reg64
rR10
)
(
va_op_opr64_reg64
rRbp
)
)
(
va_CNil
()
)
))
))))))))))))
))))))))))) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_codegen_success_Poly1305_multiply | val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool | val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool | let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ()))))))))))))))))))))))))) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 96,
"end_line": 76,
"start_col": 0,
"start_line": 51
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.X64.Decls.va_pbool | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.X64.Decls.va_pbool_and",
"Vale.X64.InsBasic.va_codegen_success_Mul64Wrap",
"Vale.X64.Decls.va_op_opr64_reg64",
"Vale.X64.Machine_s.rR14",
"Vale.X64.InsBasic.va_codegen_success_Mov64",
"Vale.X64.Decls.va_op_dst_opr64_reg64",
"Vale.X64.Machine_s.rR9",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Machine_s.rR11",
"Vale.X64.Machine_s.rR10",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Machine_s.rR8",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.InsBasic.va_codegen_success_Add64Wrap",
"Vale.X64.Machine_s.rR13",
"Vale.X64.InsBasic.va_codegen_success_Adc64Wrap",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.InsBasic.va_codegen_success_IMul64",
"Vale.X64.Decls.va_const_opr64",
"Vale.X64.Decls.va_ttrue",
"Vale.X64.Decls.va_pbool"
] | [] | false | false | false | true | false | let va_codegen_success_Poly1305_multiply () =
| (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10)
(va_op_opr64_reg64 rRdx))
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx))
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)
)
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rR9)
(va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax)
(va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10)
(va_op_opr64_reg64 rRdx))
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64
rRbx))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRbx)
(va_op_opr64_reg64 rRbp))
(va_pbool_and (va_codegen_success_Add64Wrap (
va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx))
(va_pbool_and (va_codegen_success_IMul64
(va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR9
)
(va_op_opr64_reg64 rRbx)
)
(va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64
rRbx)
(va_op_opr64_reg64 rR8
))
(va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64
rR10)
(va_const_opr64 0
))
(va_pbool_and (va_codegen_success_IMul64
(va_op_dst_opr64_reg64
rRbp)
(va_op_opr64_reg64
rR11))
(va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64
rRbx
)
(va_op_opr64_reg64
rR9)
)
(va_pbool_and
(va_codegen_success_Mov64
(va_op_dst_opr64_reg64
rRax
)
(va_const_opr64
18446744073709551612
))
(va_pbool_and
(va_codegen_success_Adc64Wrap
(
va_op_dst_opr64_reg64
rR10
)
(
va_op_opr64_reg64
rRbp
)
)
(va_ttrue
()
))
))))))))))))
))))))))))) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_codegen_success_Poly1305_reduce | val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool | val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool | let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ()))))))))) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 51,
"end_line": 330,
"start_col": 0,
"start_line": 321
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.X64.Decls.va_pbool | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.X64.Decls.va_pbool_and",
"Vale.X64.InsBasic.va_codegen_success_And64",
"Vale.X64.Decls.va_op_dst_opr64_reg64",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Decls.va_op_opr64_reg64",
"Vale.X64.Machine_s.rR10",
"Vale.X64.InsBasic.va_codegen_success_Mov64",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.InsBasic.va_codegen_success_Shr64",
"Vale.X64.Decls.va_const_shift_amt64",
"Vale.X64.Decls.va_const_opr64",
"Vale.X64.InsBasic.va_codegen_success_Add64Wrap",
"Vale.X64.Machine_s.rR14",
"Vale.X64.InsBasic.va_codegen_success_Adc64Wrap",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Decls.va_ttrue",
"Vale.X64.Decls.va_pbool"
] | [] | false | false | false | true | false | let va_codegen_success_Poly1305_reduce () =
| (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10)
(va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_const_opr64 0))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_const_opr64 0))
(va_ttrue ()))))))))) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_code_Poly1305_reduce | val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code | val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code | let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ())))))))))) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 74,
"end_line": 317,
"start_col": 0,
"start_line": 309
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : 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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.X64.Decls.va_code | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.X64.Decls.va_Block",
"Vale.X64.Decls.va_CCons",
"Vale.X64.InsBasic.va_code_And64",
"Vale.X64.Decls.va_op_dst_opr64_reg64",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Decls.va_op_opr64_reg64",
"Vale.X64.Machine_s.rR10",
"Vale.X64.InsBasic.va_code_Mov64",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.InsBasic.va_code_Shr64",
"Vale.X64.Decls.va_const_shift_amt64",
"Vale.X64.Decls.va_const_opr64",
"Vale.X64.InsBasic.va_code_Add64Wrap",
"Vale.X64.Machine_s.rR14",
"Vale.X64.InsBasic.va_code_Adc64Wrap",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Decls.va_CNil",
"Vale.X64.Decls.va_code"
] | [] | false | false | false | true | false | let va_code_Poly1305_reduce () =
| (va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR10))
(va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_const_opr64 0))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_const_opr64 0))
(va_CNil ())))))))))) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_codegen_success_Poly1305_iteration | val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool | val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool | let va_codegen_success_Poly1305_iteration () =
(va_pbool_and (va_codegen_success_Poly1305_multiply ()) (va_pbool_and
(va_codegen_success_Poly1305_reduce ()) (va_ttrue ()))) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 59,
"end_line": 480,
"start_col": 0,
"start_line": 478
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce)
//--
//-- Poly1305_iteration
val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_iteration () =
(va_Block (va_CCons (va_code_Poly1305_multiply ()) (va_CCons (va_code_Poly1305_reduce ())
(va_CNil ()))))
val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.X64.Decls.va_pbool | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.X64.Decls.va_pbool_and",
"Vale.Poly1305.X64.va_codegen_success_Poly1305_multiply",
"Vale.Poly1305.X64.va_codegen_success_Poly1305_reduce",
"Vale.X64.Decls.va_ttrue",
"Vale.X64.Decls.va_pbool"
] | [] | false | false | false | true | false | let va_codegen_success_Poly1305_iteration () =
| (va_pbool_and (va_codegen_success_Poly1305_multiply ())
(va_pbool_and (va_codegen_success_Poly1305_reduce ()) (va_ttrue ()))) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_code_Poly1305_iteration | val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code | val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code | let va_code_Poly1305_iteration () =
(va_Block (va_CCons (va_code_Poly1305_multiply ()) (va_CCons (va_code_Poly1305_reduce ())
(va_CNil ())))) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 19,
"end_line": 474,
"start_col": 0,
"start_line": 472
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce)
//--
//-- Poly1305_iteration
val va_code_Poly1305_iteration : 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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.X64.Decls.va_code | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.X64.Decls.va_Block",
"Vale.X64.Decls.va_CCons",
"Vale.Poly1305.X64.va_code_Poly1305_multiply",
"Vale.Poly1305.X64.va_code_Poly1305_reduce",
"Vale.X64.Decls.va_CNil",
"Vale.X64.Decls.va_code"
] | [] | false | false | false | true | false | let va_code_Poly1305_iteration () =
| (va_Block (va_CCons (va_code_Poly1305_multiply ())
(va_CCons (va_code_Poly1305_reduce ()) (va_CNil ())))) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_code_Poly1305_blocks_body0 | val va_code_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_code | val va_code_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_code | let va_code_Poly1305_blocks_body0 () =
(va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Public))
(va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_CCons
(va_code_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (va_CCons
(va_code_Poly1305_iteration ()) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64
1)) (va_CNil ()))))))))))) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 30,
"end_line": 667,
"start_col": 0,
"start_line": 658
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce)
//--
//-- Poly1305_iteration
val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_iteration () =
(va_Block (va_CCons (va_code_Poly1305_multiply ()) (va_CCons (va_code_Poly1305_reduce ())
(va_CNil ()))))
val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_iteration () =
(va_pbool_and (va_codegen_success_Poly1305_multiply ()) (va_pbool_and
(va_codegen_success_Poly1305_reduce ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_iteration (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_iteration ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in let (va_arg50:Prims.int) = n `op_Division` 16 in let
(va_arg49:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg48:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg48 7 va_arg49 va_arg50)
(let (va_arg47:Prims.int) = n `op_Division` 16 in let (va_arg46:Prims.int) = r1 in let
(va_arg45:Prims.int) = n in let (va_arg44:Prims.int) = va_get_reg64 rR14 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 211 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg44 va_arg45 va_arg46
va_arg47) (let (va_arg43:Prims.int) = n `op_Division` 16 in let (va_arg42:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg41:Prims.int) = n in let (va_arg40:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg40 va_arg41 va_arg42
va_arg43) (let (va_arg39:Prims.int) = n `op_Division` 8 in let (va_arg38:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg37:Prims.int) = n in let (va_arg36:Prims.int) =
va_get_reg64 rRbp va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg36 va_arg37 va_arg38
va_arg39) (let (va_arg35:Prims.int) = n `op_Division` 16 in let (va_arg34:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg33:Prims.int) = n in let (va_arg32:Prims.int) =
va_get_reg64 rR14 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg32 va_arg33 va_arg34
va_arg35) (let (va_arg31:Prims.int) = n `op_Division` 8 in let (va_arg30:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg29:Prims.int) = n in let (va_arg28:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg28 va_arg29 va_arg30
va_arg31) (let (va_arg27:Prims.int) = 5 `op_Multiply` n `op_Division` 64 in let
(va_arg26:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg25:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg25 7 va_arg26 va_arg27)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 218 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_multiply r1) (fun (va_s:va_state) (hd:int) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_reduce ()) (fun (va_s:va_state) (hh:int) -> va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 220 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 221 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(l_and (hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_s) + va_mul_nat n (va_get_reg64
rRbx va_s) + va_get_reg64 rR14 va_s) (va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p))
(va_QEmpty ((hh)))))))))))))))
val va_lemma_Poly1305_iteration : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_iteration ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp (va_mul_nat h r) ==
Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_iteration va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_iteration va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_iteration ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 180 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 201 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp (va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_iteration (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1) /\ (forall (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp
(va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_iteration : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_iteration r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_iteration ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_iteration r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_iteration (va_code_Poly1305_iteration ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_iteration (r1:nat64) : (va_quickCode int (va_code_Poly1305_iteration ())) =
(va_QProc (va_code_Poly1305_iteration ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRax]) (va_wp_Poly1305_iteration r1) (va_wpProof_Poly1305_iteration r1))
//--
//-- Poly1305_blocks_body0
val va_code_Poly1305_blocks_body0 : 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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.X64.Decls.va_code | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.X64.Decls.va_Block",
"Vale.X64.Decls.va_CCons",
"Vale.X64.InsMem.va_code_Mem64_lemma",
"Vale.X64.InsBasic.va_code_Add64Wrap",
"Vale.X64.Decls.va_op_dst_opr64_reg64",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Decls.va_opr_code_Mem64",
"Vale.X64.Decls.va_op_heaplet_mem_heaplet",
"Vale.X64.Decls.va_op_reg64_reg64",
"Vale.X64.Machine_s.rRsi",
"Vale.Arch.HeapTypes_s.Public",
"Vale.X64.InsBasic.va_code_Adc64Wrap",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.InsBasic.va_code_AddLea64",
"Vale.X64.Decls.va_op_opr64_reg64",
"Vale.X64.Decls.va_const_opr64",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.Machine_s.rRcx",
"Vale.Poly1305.X64.va_code_Poly1305_iteration",
"Vale.X64.InsBasic.va_code_Mov64",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Machine_s.rR12",
"Vale.X64.InsBasic.va_code_Sub64",
"Vale.X64.Machine_s.rR15",
"Vale.X64.Decls.va_CNil",
"Vale.X64.Decls.va_code"
] | [] | false | false | false | true | false | let va_code_Poly1305_blocks_body0 () =
| (va_Block (va_CCons (va_code_Mem64_lemma ())
(va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Public))
(va_CCons (va_code_Mem64_lemma ())
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0)
(va_op_reg64_reg64 rRsi)
8
Public))
(va_CCons (va_code_AddLea64 (va_op_dst_opr64_reg64 rRsi)
(va_op_opr64_reg64 rRsi)
(va_const_opr64 16))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rRcx))
(va_CCons (va_code_Poly1305_iteration ())
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12))
(va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR15)
(va_const_opr64 1))
(va_CNil ()))))))))))) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_codegen_success_Poly1305_blocks_body0 | val va_codegen_success_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_pbool | val va_codegen_success_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_pbool | let va_codegen_success_Poly1305_blocks_body0 () =
(va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0)
(va_op_reg64_reg64 rRsi) 0 Public)) (va_pbool_and (va_codegen_success_Mem64_lemma ())
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64
(va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_pbool_and
(va_codegen_success_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi)
(va_const_opr64 16)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Poly1305_iteration ())
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1))
(va_ttrue ())))))))))) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 26,
"end_line": 682,
"start_col": 0,
"start_line": 671
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce)
//--
//-- Poly1305_iteration
val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_iteration () =
(va_Block (va_CCons (va_code_Poly1305_multiply ()) (va_CCons (va_code_Poly1305_reduce ())
(va_CNil ()))))
val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_iteration () =
(va_pbool_and (va_codegen_success_Poly1305_multiply ()) (va_pbool_and
(va_codegen_success_Poly1305_reduce ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_iteration (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_iteration ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in let (va_arg50:Prims.int) = n `op_Division` 16 in let
(va_arg49:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg48:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg48 7 va_arg49 va_arg50)
(let (va_arg47:Prims.int) = n `op_Division` 16 in let (va_arg46:Prims.int) = r1 in let
(va_arg45:Prims.int) = n in let (va_arg44:Prims.int) = va_get_reg64 rR14 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 211 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg44 va_arg45 va_arg46
va_arg47) (let (va_arg43:Prims.int) = n `op_Division` 16 in let (va_arg42:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg41:Prims.int) = n in let (va_arg40:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg40 va_arg41 va_arg42
va_arg43) (let (va_arg39:Prims.int) = n `op_Division` 8 in let (va_arg38:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg37:Prims.int) = n in let (va_arg36:Prims.int) =
va_get_reg64 rRbp va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg36 va_arg37 va_arg38
va_arg39) (let (va_arg35:Prims.int) = n `op_Division` 16 in let (va_arg34:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg33:Prims.int) = n in let (va_arg32:Prims.int) =
va_get_reg64 rR14 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg32 va_arg33 va_arg34
va_arg35) (let (va_arg31:Prims.int) = n `op_Division` 8 in let (va_arg30:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg29:Prims.int) = n in let (va_arg28:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg28 va_arg29 va_arg30
va_arg31) (let (va_arg27:Prims.int) = 5 `op_Multiply` n `op_Division` 64 in let
(va_arg26:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg25:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg25 7 va_arg26 va_arg27)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 218 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_multiply r1) (fun (va_s:va_state) (hd:int) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_reduce ()) (fun (va_s:va_state) (hh:int) -> va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 220 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 221 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(l_and (hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_s) + va_mul_nat n (va_get_reg64
rRbx va_s) + va_get_reg64 rR14 va_s) (va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p))
(va_QEmpty ((hh)))))))))))))))
val va_lemma_Poly1305_iteration : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_iteration ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp (va_mul_nat h r) ==
Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_iteration va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_iteration va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_iteration ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 180 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 201 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp (va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_iteration (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1) /\ (forall (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp
(va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_iteration : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_iteration r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_iteration ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_iteration r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_iteration (va_code_Poly1305_iteration ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_iteration (r1:nat64) : (va_quickCode int (va_code_Poly1305_iteration ())) =
(va_QProc (va_code_Poly1305_iteration ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRax]) (va_wp_Poly1305_iteration r1) (va_wpProof_Poly1305_iteration r1))
//--
//-- Poly1305_blocks_body0
val va_code_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_body0 () =
(va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Public))
(va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_CCons
(va_code_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (va_CCons
(va_code_Poly1305_iteration ()) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64
1)) (va_CNil ())))))))))))
val va_codegen_success_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_pbool | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.X64.Decls.va_pbool | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.X64.Decls.va_pbool_and",
"Vale.X64.InsMem.va_codegen_success_Mem64_lemma",
"Vale.X64.InsBasic.va_codegen_success_Add64Wrap",
"Vale.X64.Decls.va_op_dst_opr64_reg64",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Decls.va_opr_code_Mem64",
"Vale.X64.Decls.va_op_heaplet_mem_heaplet",
"Vale.X64.Decls.va_op_reg64_reg64",
"Vale.X64.Machine_s.rRsi",
"Vale.Arch.HeapTypes_s.Public",
"Vale.X64.InsBasic.va_codegen_success_Adc64Wrap",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.InsBasic.va_codegen_success_AddLea64",
"Vale.X64.Decls.va_op_opr64_reg64",
"Vale.X64.Decls.va_const_opr64",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.Machine_s.rRcx",
"Vale.Poly1305.X64.va_codegen_success_Poly1305_iteration",
"Vale.X64.InsBasic.va_codegen_success_Mov64",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Machine_s.rR12",
"Vale.X64.InsBasic.va_codegen_success_Sub64",
"Vale.X64.Machine_s.rR15",
"Vale.X64.Decls.va_ttrue",
"Vale.X64.Decls.va_pbool"
] | [] | false | false | false | true | false | let va_codegen_success_Poly1305_blocks_body0 () =
| (va_pbool_and (va_codegen_success_Mem64_lemma ())
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Public))
(va_pbool_and (va_codegen_success_Mem64_lemma ())
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0)
(va_op_reg64_reg64 rRsi)
8
Public))
(va_pbool_and (va_codegen_success_AddLea64 (va_op_dst_opr64_reg64 rRsi)
(va_op_opr64_reg64 rRsi)
(va_const_opr64 16))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rRcx))
(va_pbool_and (va_codegen_success_Poly1305_iteration ())
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR15)
(va_const_opr64 1))
(va_ttrue ())))))))))) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_codegen_success_Poly1305_blocks_while0 | val va_codegen_success_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_pbool | val va_codegen_success_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_pbool | let va_codegen_success_Poly1305_blocks_while0 () =
(va_pbool_and (va_codegen_success_Poly1305_blocks_body0 ()) (va_ttrue ())) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 76,
"end_line": 1028,
"start_col": 0,
"start_line": 1027
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce)
//--
//-- Poly1305_iteration
val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_iteration () =
(va_Block (va_CCons (va_code_Poly1305_multiply ()) (va_CCons (va_code_Poly1305_reduce ())
(va_CNil ()))))
val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_iteration () =
(va_pbool_and (va_codegen_success_Poly1305_multiply ()) (va_pbool_and
(va_codegen_success_Poly1305_reduce ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_iteration (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_iteration ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in let (va_arg50:Prims.int) = n `op_Division` 16 in let
(va_arg49:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg48:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg48 7 va_arg49 va_arg50)
(let (va_arg47:Prims.int) = n `op_Division` 16 in let (va_arg46:Prims.int) = r1 in let
(va_arg45:Prims.int) = n in let (va_arg44:Prims.int) = va_get_reg64 rR14 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 211 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg44 va_arg45 va_arg46
va_arg47) (let (va_arg43:Prims.int) = n `op_Division` 16 in let (va_arg42:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg41:Prims.int) = n in let (va_arg40:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg40 va_arg41 va_arg42
va_arg43) (let (va_arg39:Prims.int) = n `op_Division` 8 in let (va_arg38:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg37:Prims.int) = n in let (va_arg36:Prims.int) =
va_get_reg64 rRbp va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg36 va_arg37 va_arg38
va_arg39) (let (va_arg35:Prims.int) = n `op_Division` 16 in let (va_arg34:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg33:Prims.int) = n in let (va_arg32:Prims.int) =
va_get_reg64 rR14 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg32 va_arg33 va_arg34
va_arg35) (let (va_arg31:Prims.int) = n `op_Division` 8 in let (va_arg30:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg29:Prims.int) = n in let (va_arg28:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg28 va_arg29 va_arg30
va_arg31) (let (va_arg27:Prims.int) = 5 `op_Multiply` n `op_Division` 64 in let
(va_arg26:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg25:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg25 7 va_arg26 va_arg27)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 218 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_multiply r1) (fun (va_s:va_state) (hd:int) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_reduce ()) (fun (va_s:va_state) (hh:int) -> va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 220 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 221 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(l_and (hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_s) + va_mul_nat n (va_get_reg64
rRbx va_s) + va_get_reg64 rR14 va_s) (va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p))
(va_QEmpty ((hh)))))))))))))))
val va_lemma_Poly1305_iteration : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_iteration ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp (va_mul_nat h r) ==
Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_iteration va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_iteration va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_iteration ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 180 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 201 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp (va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_iteration (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1) /\ (forall (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp
(va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_iteration : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_iteration r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_iteration ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_iteration r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_iteration (va_code_Poly1305_iteration ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_iteration (r1:nat64) : (va_quickCode int (va_code_Poly1305_iteration ())) =
(va_QProc (va_code_Poly1305_iteration ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRax]) (va_wp_Poly1305_iteration r1) (va_wpProof_Poly1305_iteration r1))
//--
//-- Poly1305_blocks_body0
val va_code_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_body0 () =
(va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Public))
(va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_CCons
(va_code_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (va_CCons
(va_code_Poly1305_iteration ()) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64
1)) (va_CNil ())))))))))))
val va_codegen_success_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_body0 () =
(va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0)
(va_op_reg64_reg64 rRsi) 0 Public)) (va_pbool_and (va_codegen_success_Mem64_lemma ())
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64
(va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_pbool_and
(va_codegen_success_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi)
(va_const_opr64 16)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Poly1305_iteration ())
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1))
(va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_body0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in let (nn:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (hp:int) = h in let (h:int) = h +
va_mul_nat (va_mul_nat nn nn) (va_get_reg64 rRcx va_s) + va_mul_nat nn
(Vale.X64.Decls.buffer64_read inp_b (word_index + 1) (va_get_mem_heaplet 0 va_s)) +
Vale.X64.Decls.buffer64_read inp_b word_index (va_get_mem_heaplet 0 va_s) in let (hq:int) = h
in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inp_b word_index
Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 0 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inp_b
(word_index + 1) Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 355 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 356 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state)
_ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 358 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hq == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat nn nn) + va_mul_nat (va_get_reg64 rRbx
va_s) nn + va_get_reg64 rR14 va_s) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 360 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration (va_get_reg64 rR12 va_s)) (fun (va_s:va_state) (h:int) -> va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 362 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 363 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1)) (fun (va_s:va_state) _ -> let
(word_index:nat) = word_index + 2 in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 366 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index) (let
(va_arg50:Prims.int) = word_index in let (va_arg49:(FStar.Seq.Base.seq Vale.X64.Memory.nat64))
= Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b in let (va_arg48:Prims.int)
= r in let (va_arg47:Prims.int) = va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let
(va_arg46:Prims.int) = Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 368 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg46 va_arg47 va_arg48
va_arg49 va_arg50) (let (va_arg45:Prims.int) = word_index - 2 in let
(va_arg44:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg43:Prims.int) = r in let (va_arg42:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let (va_arg41:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 369 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg41 va_arg42 va_arg43
va_arg44 va_arg45) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 370 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:Prims.int) = r in let (va_arg39:Prims.int) = hq - hp in let (va_arg38:Prims.int) = hp
in let (va_arg37:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg37 va_arg38 va_arg39 va_arg40)
(va_QEmpty (())))))) (va_QEmpty ((h, word_index)))))))))))))))
val va_lemma_Poly1305_blocks_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old /\ va_get_reg64 rR15 va_s0 =!= 0))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15
va_s0) /\ va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_body0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_body0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_body0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 345 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
va_get_reg64 rR15 va_s0 =!= 0 /\ (forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_rax:nat64) (va_x_rbp:nat64) (va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int)
(word_index:nat) . let va_sM = va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64
rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10 (va_upd_ok va_x_ok (va_upd_flags va_x_efl
va_s0))))))))))) in va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n ==
va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\
va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h ==
va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64
rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12
va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64
rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM ==
va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM
== va_get_reg64 rRsi va_old + va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64
/\ va_in_length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8
`op_Multiply` (word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8
`op_Multiply` word_index == va_in_length /\ va_get_reg64 rRsi va_sM + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) +
8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_sM < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM)
(va_get_reg64 rRdi va_sM) va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old /\
precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_body0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int ->
va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_body0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_body0 (va_code_Poly1305_blocks_body0
()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r
va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_body0 ())) =
(va_QProc (va_code_Poly1305_blocks_body0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64
rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks_while0
val va_code_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_while0 () =
(va_Block (va_CCons (va_While (va_cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (va_Block
(va_CCons (va_code_Poly1305_blocks_body0 ()) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_pbool | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.X64.Decls.va_pbool | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.X64.Decls.va_pbool_and",
"Vale.Poly1305.X64.va_codegen_success_Poly1305_blocks_body0",
"Vale.X64.Decls.va_ttrue",
"Vale.X64.Decls.va_pbool"
] | [] | false | false | false | true | false | let va_codegen_success_Poly1305_blocks_while0 () =
| (va_pbool_and (va_codegen_success_Poly1305_blocks_body0 ()) (va_ttrue ())) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_quick_Poly1305_multiply | val va_quick_Poly1305_multiply (r1: nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) | val va_quick_Poly1305_multiply (r1: nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) | let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1)) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 86,
"end_line": 303,
"start_col": 0,
"start_line": 300
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g) | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | r1: Vale.X64.Memory.nat64
-> Vale.X64.QuickCode.va_quickCode Prims.int (Vale.Poly1305.X64.va_code_Poly1305_multiply ()) | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.Memory.nat64",
"Vale.X64.QuickCode.va_QProc",
"Prims.int",
"Vale.Poly1305.X64.va_code_Poly1305_multiply",
"Prims.Cons",
"Vale.X64.QuickCode.mod_t",
"Vale.X64.QuickCode.va_Mod_flags",
"Vale.X64.QuickCode.va_Mod_reg64",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Machine_s.rR10",
"Vale.X64.Machine_s.rR9",
"Vale.X64.Machine_s.rR8",
"Prims.Nil",
"Vale.Poly1305.X64.va_wp_Poly1305_multiply",
"Vale.Poly1305.X64.va_wpProof_Poly1305_multiply",
"Vale.X64.QuickCode.va_quickCode"
] | [] | false | false | false | false | false | let va_quick_Poly1305_multiply (r1: nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
| (va_QProc (va_code_Poly1305_multiply ())
([
va_Mod_flags;
va_Mod_reg64 rRdx;
va_Mod_reg64 rRax;
va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx;
va_Mod_reg64 rR14;
va_Mod_reg64 rR10;
va_Mod_reg64 rR9;
va_Mod_reg64 rR8
])
(va_wp_Poly1305_multiply r1)
(va_wpProof_Poly1305_multiply r1)) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_quick_Poly1305_reduce | val va_quick_Poly1305_reduce: Prims.unit -> (va_quickCode int (va_code_Poly1305_reduce ())) | val va_quick_Poly1305_reduce: Prims.unit -> (va_quickCode int (va_code_Poly1305_reduce ())) | let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 31,
"end_line": 466,
"start_col": 0,
"start_line": 463
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g) | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | _: Prims.unit
-> Vale.X64.QuickCode.va_quickCode Prims.int (Vale.Poly1305.X64.va_code_Poly1305_reduce ()) | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.X64.QuickCode.va_QProc",
"Prims.int",
"Vale.Poly1305.X64.va_code_Poly1305_reduce",
"Prims.Cons",
"Vale.X64.QuickCode.mod_t",
"Vale.X64.QuickCode.va_Mod_flags",
"Vale.X64.QuickCode.va_Mod_reg64",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Machine_s.rR10",
"Vale.X64.Machine_s.rRax",
"Prims.Nil",
"Vale.Poly1305.X64.va_wp_Poly1305_reduce",
"Vale.Poly1305.X64.va_wpProof_Poly1305_reduce",
"Vale.X64.QuickCode.va_quickCode"
] | [] | false | false | false | false | false | let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
| (va_QProc (va_code_Poly1305_reduce ())
([
va_Mod_flags;
va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx;
va_Mod_reg64 rR14;
va_Mod_reg64 rR10;
va_Mod_reg64 rRax
])
va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_codegen_success_Poly1305_blocks | val va_codegen_success_Poly1305_blocks : va_dummy:unit -> Tot va_pbool | val va_codegen_success_Poly1305_blocks : va_dummy:unit -> Tot va_pbool | let va_codegen_success_Poly1305_blocks () =
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx))
(va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdi) 24 Public) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13)
(va_op_reg_opr64_reg64 rRdi) 32 Public) (va_pbool_and (va_codegen_success_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR14) (va_op_reg_opr64_reg64 rRdi) 0
Public) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRdi) 8 Public) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbp)
(va_op_reg_opr64_reg64 rRdi) 16 Public) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Shr64
(va_op_dst_opr64_reg64 rR13) (va_const_shift_amt64 2)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_pbool_and (va_codegen_success_Add64
(va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rR12)) (va_pbool_and
(va_codegen_success_Poly1305_blocks_while0 ()) (va_pbool_and (va_codegen_success_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR14) 0
Public) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRbx) 8 Public) (va_pbool_and
(va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbp) 16 Public) (va_ttrue ())))))))))))))))) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 72,
"end_line": 1386,
"start_col": 0,
"start_line": 1365
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce)
//--
//-- Poly1305_iteration
val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_iteration () =
(va_Block (va_CCons (va_code_Poly1305_multiply ()) (va_CCons (va_code_Poly1305_reduce ())
(va_CNil ()))))
val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_iteration () =
(va_pbool_and (va_codegen_success_Poly1305_multiply ()) (va_pbool_and
(va_codegen_success_Poly1305_reduce ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_iteration (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_iteration ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in let (va_arg50:Prims.int) = n `op_Division` 16 in let
(va_arg49:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg48:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg48 7 va_arg49 va_arg50)
(let (va_arg47:Prims.int) = n `op_Division` 16 in let (va_arg46:Prims.int) = r1 in let
(va_arg45:Prims.int) = n in let (va_arg44:Prims.int) = va_get_reg64 rR14 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 211 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg44 va_arg45 va_arg46
va_arg47) (let (va_arg43:Prims.int) = n `op_Division` 16 in let (va_arg42:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg41:Prims.int) = n in let (va_arg40:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg40 va_arg41 va_arg42
va_arg43) (let (va_arg39:Prims.int) = n `op_Division` 8 in let (va_arg38:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg37:Prims.int) = n in let (va_arg36:Prims.int) =
va_get_reg64 rRbp va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg36 va_arg37 va_arg38
va_arg39) (let (va_arg35:Prims.int) = n `op_Division` 16 in let (va_arg34:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg33:Prims.int) = n in let (va_arg32:Prims.int) =
va_get_reg64 rR14 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg32 va_arg33 va_arg34
va_arg35) (let (va_arg31:Prims.int) = n `op_Division` 8 in let (va_arg30:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg29:Prims.int) = n in let (va_arg28:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg28 va_arg29 va_arg30
va_arg31) (let (va_arg27:Prims.int) = 5 `op_Multiply` n `op_Division` 64 in let
(va_arg26:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg25:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg25 7 va_arg26 va_arg27)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 218 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_multiply r1) (fun (va_s:va_state) (hd:int) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_reduce ()) (fun (va_s:va_state) (hh:int) -> va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 220 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 221 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(l_and (hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_s) + va_mul_nat n (va_get_reg64
rRbx va_s) + va_get_reg64 rR14 va_s) (va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p))
(va_QEmpty ((hh)))))))))))))))
val va_lemma_Poly1305_iteration : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_iteration ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp (va_mul_nat h r) ==
Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_iteration va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_iteration va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_iteration ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 180 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 201 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp (va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_iteration (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1) /\ (forall (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp
(va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_iteration : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_iteration r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_iteration ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_iteration r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_iteration (va_code_Poly1305_iteration ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_iteration (r1:nat64) : (va_quickCode int (va_code_Poly1305_iteration ())) =
(va_QProc (va_code_Poly1305_iteration ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRax]) (va_wp_Poly1305_iteration r1) (va_wpProof_Poly1305_iteration r1))
//--
//-- Poly1305_blocks_body0
val va_code_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_body0 () =
(va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Public))
(va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_CCons
(va_code_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (va_CCons
(va_code_Poly1305_iteration ()) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64
1)) (va_CNil ())))))))))))
val va_codegen_success_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_body0 () =
(va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0)
(va_op_reg64_reg64 rRsi) 0 Public)) (va_pbool_and (va_codegen_success_Mem64_lemma ())
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64
(va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_pbool_and
(va_codegen_success_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi)
(va_const_opr64 16)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Poly1305_iteration ())
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1))
(va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_body0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in let (nn:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (hp:int) = h in let (h:int) = h +
va_mul_nat (va_mul_nat nn nn) (va_get_reg64 rRcx va_s) + va_mul_nat nn
(Vale.X64.Decls.buffer64_read inp_b (word_index + 1) (va_get_mem_heaplet 0 va_s)) +
Vale.X64.Decls.buffer64_read inp_b word_index (va_get_mem_heaplet 0 va_s) in let (hq:int) = h
in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inp_b word_index
Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 0 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inp_b
(word_index + 1) Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 355 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 356 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state)
_ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 358 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hq == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat nn nn) + va_mul_nat (va_get_reg64 rRbx
va_s) nn + va_get_reg64 rR14 va_s) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 360 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration (va_get_reg64 rR12 va_s)) (fun (va_s:va_state) (h:int) -> va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 362 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 363 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1)) (fun (va_s:va_state) _ -> let
(word_index:nat) = word_index + 2 in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 366 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index) (let
(va_arg50:Prims.int) = word_index in let (va_arg49:(FStar.Seq.Base.seq Vale.X64.Memory.nat64))
= Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b in let (va_arg48:Prims.int)
= r in let (va_arg47:Prims.int) = va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let
(va_arg46:Prims.int) = Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 368 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg46 va_arg47 va_arg48
va_arg49 va_arg50) (let (va_arg45:Prims.int) = word_index - 2 in let
(va_arg44:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg43:Prims.int) = r in let (va_arg42:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let (va_arg41:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 369 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg41 va_arg42 va_arg43
va_arg44 va_arg45) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 370 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:Prims.int) = r in let (va_arg39:Prims.int) = hq - hp in let (va_arg38:Prims.int) = hp
in let (va_arg37:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg37 va_arg38 va_arg39 va_arg40)
(va_QEmpty (())))))) (va_QEmpty ((h, word_index)))))))))))))))
val va_lemma_Poly1305_blocks_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old /\ va_get_reg64 rR15 va_s0 =!= 0))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15
va_s0) /\ va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_body0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_body0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_body0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 345 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
va_get_reg64 rR15 va_s0 =!= 0 /\ (forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_rax:nat64) (va_x_rbp:nat64) (va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int)
(word_index:nat) . let va_sM = va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64
rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10 (va_upd_ok va_x_ok (va_upd_flags va_x_efl
va_s0))))))))))) in va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n ==
va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\
va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h ==
va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64
rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12
va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64
rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM ==
va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM
== va_get_reg64 rRsi va_old + va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64
/\ va_in_length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8
`op_Multiply` (word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8
`op_Multiply` word_index == va_in_length /\ va_get_reg64 rRsi va_sM + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) +
8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_sM < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM)
(va_get_reg64 rRdi va_sM) va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old /\
precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_body0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int ->
va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_body0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_body0 (va_code_Poly1305_blocks_body0
()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r
va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_body0 ())) =
(va_QProc (va_code_Poly1305_blocks_body0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64
rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks_while0
val va_code_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_while0 () =
(va_Block (va_CCons (va_While (va_cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (va_Block
(va_CCons (va_code_Poly1305_blocks_body0 ()) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_while0 () =
(va_pbool_and (va_codegen_success_Poly1305_blocks_body0 ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_while0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_qWhile va_mods (Cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (fun va_g -> let (h:int) =
let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g in
word_index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_body0 va_old ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QEmpty ((h, word_index))))) (fun
(va_s:va_state) va_g -> let (h:int) = let (h, word_index) = va_g in h in let (word_index:nat) =
let (h, word_index) = va_g in word_index in va_get_ok va_s /\ n == pow2_64 /\ va_mul_nat n n ==
va_mul_nat pow2_64 pow2_64 /\ p == va_mul_nat n n `op_Multiply` 4 - 5 /\ r == va_mul_nat
(va_get_reg64 rR12 va_s) n + va_get_reg64 rR11 va_s /\ h == va_mul_nat (va_get_reg64 rRbp va_s)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s) pow2_64 + va_get_reg64 rR14
va_s /\ va_get_reg64 rR11 va_s < n `op_Division` 16 /\ va_get_reg64 rR12 va_s < n `op_Division`
16 /\ va_get_reg64 rR12 va_s `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s == va_get_reg64 rR12
va_s + va_get_reg64 rR12 va_s `op_Division` 4 /\ va_get_reg64 rRbp va_s < 5 /\ va_get_reg64
rRax va_s == va_get_reg64 rR12 va_s /\ va_get_reg64 rRsi va_s + 16 `op_Multiply` va_get_reg64
rR15 va_s == va_get_reg64 rRsi va_old + length /\ va_get_reg64 rRsi va_old + length < pow2_64
/\ length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s =!= 0 ==> 8 `op_Multiply`
(word_index + 1) <= length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s + 8 `op_Multiply`
word_index == length /\ va_get_reg64 rRsi va_s + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 inp_b (va_get_mem_heaplet 0 va_s) + 8 `op_Multiply` word_index /\
va_get_reg64 rR15 va_s `op_Multiply` 16 <= length /\ va_get_reg64 rRcx va_s < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s) (va_get_reg64 rRdi va_s) ctx_b 24
(va_get_mem_layout va_s) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s)
(va_get_reg64 rRsi va_old) inp_b (length `op_Division` 8) (va_get_mem_layout va_s) Public /\
va_get_reg64 rRdi va_s == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s == va_get_reg64
rRcx va_old /\ (va_get_reg64 rRsi va_s - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index /\
va_get_mem_heaplet 1 va_s == va_get_mem_heaplet 1 va_old) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in va_get_reg64 rR15 va_s) ((h, word_index))) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in let va_g = (h, word_index) in let ((h:int), (word_index:nat)) = va_g in
va_QEmpty ((h, word_index)))))
val va_lemma_Poly1305_blocks_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_while0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) /\ va_state_eq va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_while0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_while0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_while0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(~(va_get_reg64 rR15 va_sM =!= 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
(forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r14:nat64)
(va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_rax:nat64) (va_x_rbp:nat64)
(va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int) (word_index:nat) . let va_sM =
va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_ok va_x_ok (va_upd_flags va_x_efl va_s0))))))))))) in va_get_ok va_sM /\ va_in_n ==
pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat
va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n
+ va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64
pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\
va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM ==
va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM <
5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16
`op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ 16
`op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length /\
va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b
(va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM
`op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_while0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int
-> va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_while0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length
va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_while0
(va_code_Poly1305_blocks_while0 ()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_while0 ())) =
(va_QProc (va_code_Poly1305_blocks_while0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx;
va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks
val va_code_Poly1305_blocks : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks () =
(va_Block (va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi) 24 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRdi) 32
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rR14) (va_op_reg_opr64_reg64 rRdi) 0 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRdi) 8
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rRbp) (va_op_reg_opr64_reg64 rRdi) 16 Public) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rR12) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rR13)
(va_const_shift_amt64 2)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rR13)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Poly1305_blocks_while0 ()) (va_CCons
(va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR14) 0 Public) (va_CCons (va_code_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRbx) 8
Public) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64
rRdi) (va_op_reg_opr64_reg64 rRbp) 16 Public) (va_CNil ())))))))))))))))))
val va_codegen_success_Poly1305_blocks : va_dummy:unit -> Tot va_pbool | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.X64.Decls.va_pbool | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.X64.Decls.va_pbool_and",
"Vale.X64.InsBasic.va_codegen_success_Shr64",
"Vale.X64.Decls.va_op_dst_opr64_reg64",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Decls.va_const_shift_amt64",
"Vale.X64.InsBasic.va_codegen_success_Mov64",
"Vale.X64.Machine_s.rR15",
"Vale.X64.Decls.va_op_opr64_reg64",
"Vale.X64.InsMem.va_codegen_success_Load64_buffer",
"Vale.X64.Decls.va_op_heaplet_mem_heaplet",
"Vale.X64.Machine_s.rR11",
"Vale.X64.Decls.va_op_reg_opr64_reg64",
"Vale.X64.Machine_s.rRdi",
"Vale.Arch.HeapTypes_s.Public",
"Vale.X64.Machine_s.rR13",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.Machine_s.rR12",
"Vale.X64.Machine_s.rRax",
"Vale.X64.InsBasic.va_codegen_success_Add64",
"Vale.Poly1305.X64.va_codegen_success_Poly1305_blocks_while0",
"Vale.X64.InsMem.va_codegen_success_Store64_buffer",
"Vale.X64.Decls.va_ttrue",
"Vale.X64.Decls.va_pbool"
] | [] | false | false | false | true | false | let va_codegen_success_Poly1305_blocks () =
| (va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx))
(va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi)
24
Public)
(va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rR13)
(va_op_reg_opr64_reg64 rRdi)
32
Public)
(va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rR14)
(va_op_reg_opr64_reg64 rRdi)
0
Public)
(va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rRbx)
(va_op_reg_opr64_reg64 rRdi)
8
Public)
(va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1
)
(va_op_dst_opr64_reg64 rRbp)
(va_op_reg_opr64_reg64 rRdi)
16
Public)
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR12)
(va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR13)
(va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax
)
(va_op_opr64_reg64 rR12))
(va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64
rR13)
(va_op_opr64_reg64 rR12))
(va_pbool_and (va_codegen_success_Poly1305_blocks_while0
())
(va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet
1)
(va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR14)
0
Public)
(va_pbool_and (va_codegen_success_Store64_buffer
(va_op_heaplet_mem_heaplet 1)
(va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbx)
8
Public)
(va_pbool_and (va_codegen_success_Store64_buffer
(va_op_heaplet_mem_heaplet 1)
(va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbp)
16
Public)
(va_ttrue ())))))))))))))))) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_code_Poly1305_blocks | val va_code_Poly1305_blocks : va_dummy:unit -> Tot va_code | val va_code_Poly1305_blocks : va_dummy:unit -> Tot va_code | let va_code_Poly1305_blocks () =
(va_Block (va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi) 24 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRdi) 32
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rR14) (va_op_reg_opr64_reg64 rRdi) 0 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRdi) 8
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rRbp) (va_op_reg_opr64_reg64 rRdi) 16 Public) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rR12) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rR13)
(va_const_shift_amt64 2)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rR13)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Poly1305_blocks_while0 ()) (va_CCons
(va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR14) 0 Public) (va_CCons (va_code_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRbx) 8
Public) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64
rRdi) (va_op_reg_opr64_reg64 rRbp) 16 Public) (va_CNil ()))))))))))))))))) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 78,
"end_line": 1361,
"start_col": 0,
"start_line": 1342
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce)
//--
//-- Poly1305_iteration
val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_iteration () =
(va_Block (va_CCons (va_code_Poly1305_multiply ()) (va_CCons (va_code_Poly1305_reduce ())
(va_CNil ()))))
val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_iteration () =
(va_pbool_and (va_codegen_success_Poly1305_multiply ()) (va_pbool_and
(va_codegen_success_Poly1305_reduce ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_iteration (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_iteration ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in let (va_arg50:Prims.int) = n `op_Division` 16 in let
(va_arg49:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg48:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg48 7 va_arg49 va_arg50)
(let (va_arg47:Prims.int) = n `op_Division` 16 in let (va_arg46:Prims.int) = r1 in let
(va_arg45:Prims.int) = n in let (va_arg44:Prims.int) = va_get_reg64 rR14 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 211 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg44 va_arg45 va_arg46
va_arg47) (let (va_arg43:Prims.int) = n `op_Division` 16 in let (va_arg42:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg41:Prims.int) = n in let (va_arg40:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg40 va_arg41 va_arg42
va_arg43) (let (va_arg39:Prims.int) = n `op_Division` 8 in let (va_arg38:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg37:Prims.int) = n in let (va_arg36:Prims.int) =
va_get_reg64 rRbp va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg36 va_arg37 va_arg38
va_arg39) (let (va_arg35:Prims.int) = n `op_Division` 16 in let (va_arg34:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg33:Prims.int) = n in let (va_arg32:Prims.int) =
va_get_reg64 rR14 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg32 va_arg33 va_arg34
va_arg35) (let (va_arg31:Prims.int) = n `op_Division` 8 in let (va_arg30:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg29:Prims.int) = n in let (va_arg28:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg28 va_arg29 va_arg30
va_arg31) (let (va_arg27:Prims.int) = 5 `op_Multiply` n `op_Division` 64 in let
(va_arg26:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg25:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg25 7 va_arg26 va_arg27)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 218 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_multiply r1) (fun (va_s:va_state) (hd:int) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_reduce ()) (fun (va_s:va_state) (hh:int) -> va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 220 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 221 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(l_and (hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_s) + va_mul_nat n (va_get_reg64
rRbx va_s) + va_get_reg64 rR14 va_s) (va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p))
(va_QEmpty ((hh)))))))))))))))
val va_lemma_Poly1305_iteration : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_iteration ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp (va_mul_nat h r) ==
Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_iteration va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_iteration va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_iteration ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 180 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 201 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp (va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_iteration (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1) /\ (forall (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp
(va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_iteration : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_iteration r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_iteration ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_iteration r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_iteration (va_code_Poly1305_iteration ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_iteration (r1:nat64) : (va_quickCode int (va_code_Poly1305_iteration ())) =
(va_QProc (va_code_Poly1305_iteration ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRax]) (va_wp_Poly1305_iteration r1) (va_wpProof_Poly1305_iteration r1))
//--
//-- Poly1305_blocks_body0
val va_code_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_body0 () =
(va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Public))
(va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_CCons
(va_code_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (va_CCons
(va_code_Poly1305_iteration ()) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64
1)) (va_CNil ())))))))))))
val va_codegen_success_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_body0 () =
(va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0)
(va_op_reg64_reg64 rRsi) 0 Public)) (va_pbool_and (va_codegen_success_Mem64_lemma ())
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64
(va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_pbool_and
(va_codegen_success_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi)
(va_const_opr64 16)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Poly1305_iteration ())
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1))
(va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_body0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in let (nn:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (hp:int) = h in let (h:int) = h +
va_mul_nat (va_mul_nat nn nn) (va_get_reg64 rRcx va_s) + va_mul_nat nn
(Vale.X64.Decls.buffer64_read inp_b (word_index + 1) (va_get_mem_heaplet 0 va_s)) +
Vale.X64.Decls.buffer64_read inp_b word_index (va_get_mem_heaplet 0 va_s) in let (hq:int) = h
in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inp_b word_index
Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 0 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inp_b
(word_index + 1) Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 355 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 356 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state)
_ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 358 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hq == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat nn nn) + va_mul_nat (va_get_reg64 rRbx
va_s) nn + va_get_reg64 rR14 va_s) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 360 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration (va_get_reg64 rR12 va_s)) (fun (va_s:va_state) (h:int) -> va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 362 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 363 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1)) (fun (va_s:va_state) _ -> let
(word_index:nat) = word_index + 2 in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 366 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index) (let
(va_arg50:Prims.int) = word_index in let (va_arg49:(FStar.Seq.Base.seq Vale.X64.Memory.nat64))
= Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b in let (va_arg48:Prims.int)
= r in let (va_arg47:Prims.int) = va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let
(va_arg46:Prims.int) = Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 368 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg46 va_arg47 va_arg48
va_arg49 va_arg50) (let (va_arg45:Prims.int) = word_index - 2 in let
(va_arg44:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg43:Prims.int) = r in let (va_arg42:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let (va_arg41:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 369 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg41 va_arg42 va_arg43
va_arg44 va_arg45) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 370 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:Prims.int) = r in let (va_arg39:Prims.int) = hq - hp in let (va_arg38:Prims.int) = hp
in let (va_arg37:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg37 va_arg38 va_arg39 va_arg40)
(va_QEmpty (())))))) (va_QEmpty ((h, word_index)))))))))))))))
val va_lemma_Poly1305_blocks_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old /\ va_get_reg64 rR15 va_s0 =!= 0))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15
va_s0) /\ va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_body0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_body0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_body0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 345 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
va_get_reg64 rR15 va_s0 =!= 0 /\ (forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_rax:nat64) (va_x_rbp:nat64) (va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int)
(word_index:nat) . let va_sM = va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64
rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10 (va_upd_ok va_x_ok (va_upd_flags va_x_efl
va_s0))))))))))) in va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n ==
va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\
va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h ==
va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64
rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12
va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64
rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM ==
va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM
== va_get_reg64 rRsi va_old + va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64
/\ va_in_length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8
`op_Multiply` (word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8
`op_Multiply` word_index == va_in_length /\ va_get_reg64 rRsi va_sM + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) +
8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_sM < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM)
(va_get_reg64 rRdi va_sM) va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old /\
precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_body0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int ->
va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_body0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_body0 (va_code_Poly1305_blocks_body0
()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r
va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_body0 ())) =
(va_QProc (va_code_Poly1305_blocks_body0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64
rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks_while0
val va_code_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_while0 () =
(va_Block (va_CCons (va_While (va_cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (va_Block
(va_CCons (va_code_Poly1305_blocks_body0 ()) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_while0 () =
(va_pbool_and (va_codegen_success_Poly1305_blocks_body0 ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_while0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_qWhile va_mods (Cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (fun va_g -> let (h:int) =
let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g in
word_index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_body0 va_old ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QEmpty ((h, word_index))))) (fun
(va_s:va_state) va_g -> let (h:int) = let (h, word_index) = va_g in h in let (word_index:nat) =
let (h, word_index) = va_g in word_index in va_get_ok va_s /\ n == pow2_64 /\ va_mul_nat n n ==
va_mul_nat pow2_64 pow2_64 /\ p == va_mul_nat n n `op_Multiply` 4 - 5 /\ r == va_mul_nat
(va_get_reg64 rR12 va_s) n + va_get_reg64 rR11 va_s /\ h == va_mul_nat (va_get_reg64 rRbp va_s)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s) pow2_64 + va_get_reg64 rR14
va_s /\ va_get_reg64 rR11 va_s < n `op_Division` 16 /\ va_get_reg64 rR12 va_s < n `op_Division`
16 /\ va_get_reg64 rR12 va_s `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s == va_get_reg64 rR12
va_s + va_get_reg64 rR12 va_s `op_Division` 4 /\ va_get_reg64 rRbp va_s < 5 /\ va_get_reg64
rRax va_s == va_get_reg64 rR12 va_s /\ va_get_reg64 rRsi va_s + 16 `op_Multiply` va_get_reg64
rR15 va_s == va_get_reg64 rRsi va_old + length /\ va_get_reg64 rRsi va_old + length < pow2_64
/\ length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s =!= 0 ==> 8 `op_Multiply`
(word_index + 1) <= length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s + 8 `op_Multiply`
word_index == length /\ va_get_reg64 rRsi va_s + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 inp_b (va_get_mem_heaplet 0 va_s) + 8 `op_Multiply` word_index /\
va_get_reg64 rR15 va_s `op_Multiply` 16 <= length /\ va_get_reg64 rRcx va_s < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s) (va_get_reg64 rRdi va_s) ctx_b 24
(va_get_mem_layout va_s) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s)
(va_get_reg64 rRsi va_old) inp_b (length `op_Division` 8) (va_get_mem_layout va_s) Public /\
va_get_reg64 rRdi va_s == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s == va_get_reg64
rRcx va_old /\ (va_get_reg64 rRsi va_s - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index /\
va_get_mem_heaplet 1 va_s == va_get_mem_heaplet 1 va_old) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in va_get_reg64 rR15 va_s) ((h, word_index))) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in let va_g = (h, word_index) in let ((h:int), (word_index:nat)) = va_g in
va_QEmpty ((h, word_index)))))
val va_lemma_Poly1305_blocks_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_while0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) /\ va_state_eq va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_while0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_while0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_while0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(~(va_get_reg64 rR15 va_sM =!= 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
(forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r14:nat64)
(va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_rax:nat64) (va_x_rbp:nat64)
(va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int) (word_index:nat) . let va_sM =
va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_ok va_x_ok (va_upd_flags va_x_efl va_s0))))))))))) in va_get_ok va_sM /\ va_in_n ==
pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat
va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n
+ va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64
pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\
va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM ==
va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM <
5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16
`op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ 16
`op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length /\
va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b
(va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM
`op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_while0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int
-> va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_while0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length
va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_while0
(va_code_Poly1305_blocks_while0 ()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_while0 ())) =
(va_QProc (va_code_Poly1305_blocks_while0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx;
va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks
val va_code_Poly1305_blocks : 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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.X64.Decls.va_code | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.X64.Decls.va_Block",
"Vale.X64.Decls.va_CCons",
"Vale.X64.InsBasic.va_code_Shr64",
"Vale.X64.Decls.va_op_dst_opr64_reg64",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Decls.va_const_shift_amt64",
"Vale.X64.InsBasic.va_code_Mov64",
"Vale.X64.Machine_s.rR15",
"Vale.X64.Decls.va_op_opr64_reg64",
"Vale.X64.InsMem.va_code_Load64_buffer",
"Vale.X64.Decls.va_op_heaplet_mem_heaplet",
"Vale.X64.Machine_s.rR11",
"Vale.X64.Decls.va_op_reg_opr64_reg64",
"Vale.X64.Machine_s.rRdi",
"Vale.Arch.HeapTypes_s.Public",
"Vale.X64.Machine_s.rR13",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.Machine_s.rR12",
"Vale.X64.Machine_s.rRax",
"Vale.X64.InsBasic.va_code_Add64",
"Vale.Poly1305.X64.va_code_Poly1305_blocks_while0",
"Vale.X64.InsMem.va_code_Store64_buffer",
"Vale.X64.Decls.va_CNil",
"Vale.X64.Decls.va_code"
] | [] | false | false | false | true | false | let va_code_Poly1305_blocks () =
| (va_Block (va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx))
(va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi)
24
Public)
(va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rR13)
(va_op_reg_opr64_reg64 rRdi)
32
Public)
(va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rR14)
(va_op_reg_opr64_reg64 rRdi)
0
Public)
(va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rRbx)
(va_op_reg_opr64_reg64 rRdi)
8
Public)
(va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rRbp)
(va_op_reg_opr64_reg64 rRdi)
16
Public)
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR12)
(va_op_opr64_reg64 rR13))
(va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rR13)
(va_const_shift_amt64 2))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12))
(va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rR13)
(va_op_opr64_reg64 rR12))
(va_CCons (va_code_Poly1305_blocks_while0 ())
(va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet
1)
(va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR14)
0
Public)
(va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet
1)
(va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbx)
8
Public)
(va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet
1)
(va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbp)
16
Public)
(va_CNil ()))))))))))))))))) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_wp_Poly1305_multiply | val va_wp_Poly1305_multiply (r1: nat64) (va_s0: va_state) (va_k: (va_state -> int -> Type0)) : Type0 | val va_wp_Poly1305_multiply (r1: nat64) (va_s0: va_state) (va_k: (va_state -> int -> Type0)) : Type0 | let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh)))) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 12,
"end_line": 276,
"start_col": 0,
"start_line": 243
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh) | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
r1: Vale.X64.Memory.nat64 ->
va_s0: Vale.X64.Decls.va_state ->
va_k: (_: Vale.X64.Decls.va_state -> _: Prims.int -> Type0)
-> Type0 | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.Memory.nat64",
"Vale.X64.Decls.va_state",
"Prims.int",
"Prims.l_and",
"Prims.b2t",
"Vale.X64.Decls.va_get_ok",
"Prims.eq2",
"Prims.op_Modulus",
"Vale.X64.Decls.va_get_reg64",
"Vale.X64.Machine_s.rR13",
"Prims.op_Addition",
"Prims.op_Division",
"Prims.op_LessThan",
"Vale.X64.Decls.va_mul_nat",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.Machine_s.rR11",
"Prims.op_Multiply",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Machine_s.rRbx",
"Vale.Def.Words_s.nat64",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Decls.va_int_range",
"Prims.op_Subtraction",
"Vale.X64.Machine_s.pow2_64",
"Prims.l_Forall",
"Vale.X64.Flags.t",
"Prims.l_imp",
"Vale.X64.Machine_s.rR10",
"Vale.X64.State.vale_state",
"Vale.X64.Decls.va_upd_flags",
"Vale.X64.Decls.va_upd_reg64",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Machine_s.rR9",
"Vale.X64.Machine_s.rR8"
] | [] | false | false | false | true | true | let va_wp_Poly1305_multiply (r1: nat64) (va_s0: va_state) (va_k: (va_state -> int -> Type0)) : Type0 =
| (va_get_ok va_s0 /\
(let n:(va_int_range 18446744073709551616 18446744073709551616) = pow2_64 in
let p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) =
(va_mul_nat n n) `op_Multiply` 4 - 5
in
let r:(va_int_range 0 340282366920938463463374607431768211455) =
va_mul_nat r1 n + va_get_reg64 rR11 va_s0
in
let h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895) =
va_mul_nat (va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0
in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) <
7
`op_Multiply`
(n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\
va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) <
7
`op_Multiply`
((5 `op_Multiply` n) `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1) /\
(forall (va_x_r8: nat64) (va_x_r9: nat64) (va_x_r10: nat64) (va_x_r14: nat64) (va_x_rbx: nat64)
(va_x_rbp: nat64) (va_x_rax: nat64) (va_x_rdx: nat64) (va_x_efl: Vale.X64.Flags.t) (hh: int).
let va_sM =
va_upd_flags va_x_efl
(va_upd_reg64 rRdx
va_x_rdx
(va_upd_reg64 rRax
va_x_rax
(va_upd_reg64 rRbp
va_x_rbp
(va_upd_reg64 rRbx
va_x_rbx
(va_upd_reg64 rR14
va_x_r14
(va_upd_reg64 rR10
va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in
va_get_ok va_sM /\
(let n:(va_int_range 18446744073709551616 18446744073709551616) = pow2_64 in
let p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) =
(va_mul_nat n n) `op_Multiply` 4 - 5
in
let r:(va_int_range 0 340282366920938463463374607431768211455) =
va_mul_nat r1 n + va_get_reg64 rR11 va_s0
in
let h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895) =
va_mul_nat (va_get_reg64 rRbp va_s0) (va_mul_nat n n) +
va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0
in
hh ==
va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) +
va_get_reg64 rR14 va_sM /\ (va_mul_nat h r) `op_Modulus` p == hh `op_Modulus` p /\
((va_get_reg64 rR10 va_sM) `op_Division` 4)
`op_Multiply`
4 +
(va_get_reg64 rR10 va_sM)
`op_Division`
4 <
18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==>
va_k va_sM ((hh)))) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_wp_Poly1305_reduce | val va_wp_Poly1305_reduce (va_s0: va_state) (va_k: (va_state -> int -> Type0)) : Type0 | val va_wp_Poly1305_reduce (va_s0: va_state) (va_k: (va_state -> int -> Type0)) : Type0 | let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh)))) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 38,
"end_line": 441,
"start_col": 0,
"start_line": 422
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh) | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.int -> Type0)
-> Type0 | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.Decls.va_state",
"Prims.int",
"Prims.l_and",
"Prims.b2t",
"Vale.X64.Decls.va_get_ok",
"Prims.op_LessThan",
"Prims.op_Addition",
"Prims.op_Multiply",
"Prims.op_Division",
"Vale.X64.Decls.va_get_reg64",
"Vale.X64.Machine_s.rR10",
"Prims.eq2",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Decls.va_int_range",
"Vale.X64.Decls.va_mul_nat",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rR14",
"Prims.op_Subtraction",
"Prims.l_Forall",
"Vale.X64.Memory.nat64",
"Vale.X64.Flags.t",
"Prims.l_imp",
"Vale.X64.Machine_s.rRbp",
"Prims.op_Modulus",
"Vale.X64.State.vale_state",
"Vale.X64.Decls.va_upd_flags",
"Vale.X64.Decls.va_upd_reg64"
] | [] | false | false | false | true | true | let va_wp_Poly1305_reduce (va_s0: va_state) (va_k: (va_state -> int -> Type0)) : Type0 =
| (va_get_ok va_s0 /\
(let n:(va_int_range 18446744073709551616 18446744073709551616) = 18446744073709551616 in
let p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) =
(va_mul_nat n n) `op_Multiply` 4 - 5
in
let hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895) =
va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0
in
((va_get_reg64 rR10 va_s0) `op_Division` 4)
`op_Multiply`
4 +
(va_get_reg64 rR10 va_s0)
`op_Division`
4 <
n /\ va_get_reg64 rRax va_s0 == 18446744073709551612) /\
(forall (va_x_rax: nat64)
(va_x_r10: nat64)
(va_x_r14: nat64)
(va_x_rbx: nat64)
(va_x_rbp: nat64)
(va_x_efl: Vale.X64.Flags.t)
(hh: int).
let va_sM =
va_upd_flags va_x_efl
(va_upd_reg64 rRbp
va_x_rbp
(va_upd_reg64 rRbx
va_x_rbx
(va_upd_reg64 rR14
va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rRax va_x_rax va_s0)))))
in
va_get_ok va_sM /\
(let n:(va_int_range 18446744073709551616 18446744073709551616) = 18446744073709551616 in
let p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) =
(va_mul_nat n n) `op_Multiply` 4 - 5
in
let hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895) =
va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s0) +
va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0
in
hh ==
va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) +
va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rRbp va_sM < 5) ==>
va_k va_sM ((hh)))) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_wpProof_Poly1305_iteration | val va_wpProof_Poly1305_iteration : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_iteration r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_iteration ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) | val va_wpProof_Poly1305_iteration : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_iteration r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_iteration ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) | let va_wpProof_Poly1305_iteration r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_iteration (va_code_Poly1305_iteration ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 646,
"start_col": 0,
"start_line": 635
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce)
//--
//-- Poly1305_iteration
val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_iteration () =
(va_Block (va_CCons (va_code_Poly1305_multiply ()) (va_CCons (va_code_Poly1305_reduce ())
(va_CNil ()))))
val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_iteration () =
(va_pbool_and (va_codegen_success_Poly1305_multiply ()) (va_pbool_and
(va_codegen_success_Poly1305_reduce ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_iteration (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_iteration ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in let (va_arg50:Prims.int) = n `op_Division` 16 in let
(va_arg49:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg48:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg48 7 va_arg49 va_arg50)
(let (va_arg47:Prims.int) = n `op_Division` 16 in let (va_arg46:Prims.int) = r1 in let
(va_arg45:Prims.int) = n in let (va_arg44:Prims.int) = va_get_reg64 rR14 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 211 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg44 va_arg45 va_arg46
va_arg47) (let (va_arg43:Prims.int) = n `op_Division` 16 in let (va_arg42:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg41:Prims.int) = n in let (va_arg40:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg40 va_arg41 va_arg42
va_arg43) (let (va_arg39:Prims.int) = n `op_Division` 8 in let (va_arg38:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg37:Prims.int) = n in let (va_arg36:Prims.int) =
va_get_reg64 rRbp va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg36 va_arg37 va_arg38
va_arg39) (let (va_arg35:Prims.int) = n `op_Division` 16 in let (va_arg34:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg33:Prims.int) = n in let (va_arg32:Prims.int) =
va_get_reg64 rR14 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg32 va_arg33 va_arg34
va_arg35) (let (va_arg31:Prims.int) = n `op_Division` 8 in let (va_arg30:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg29:Prims.int) = n in let (va_arg28:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg28 va_arg29 va_arg30
va_arg31) (let (va_arg27:Prims.int) = 5 `op_Multiply` n `op_Division` 64 in let
(va_arg26:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg25:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg25 7 va_arg26 va_arg27)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 218 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_multiply r1) (fun (va_s:va_state) (hd:int) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_reduce ()) (fun (va_s:va_state) (hh:int) -> va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 220 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 221 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(l_and (hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_s) + va_mul_nat n (va_get_reg64
rRbx va_s) + va_get_reg64 rR14 va_s) (va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p))
(va_QEmpty ((hh)))))))))))))))
val va_lemma_Poly1305_iteration : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_iteration ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp (va_mul_nat h r) ==
Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_iteration va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_iteration va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_iteration ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 180 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 201 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp (va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_iteration (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1) /\ (forall (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp
(va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_iteration : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_iteration r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_iteration ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
r1: Vale.X64.Memory.nat64 ->
va_s0: Vale.X64.Decls.va_state ->
va_k: (_: Vale.X64.Decls.va_state -> _: Prims.int -> Type0)
-> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.int) | Prims.Ghost | [] | [] | [
"Vale.X64.Memory.nat64",
"Vale.X64.Decls.va_state",
"Prims.int",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Prims.unit",
"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_reg64",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Machine_s.rR10",
"Vale.X64.Machine_s.rR9",
"Vale.X64.Machine_s.rR8",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Machine_s.rRax",
"Prims.Nil",
"Prims._assert",
"Vale.X64.Decls.va_state_eq",
"Vale.X64.Decls.va_update_flags",
"Vale.X64.Decls.va_update_reg64",
"Vale.X64.Decls.va_update_ok",
"Vale.X64.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"Vale.X64.State.vale_state",
"Vale.Poly1305.X64.va_lemma_Poly1305_iteration",
"Vale.Poly1305.X64.va_code_Poly1305_iteration"
] | [] | false | false | false | false | false | let va_wpProof_Poly1305_iteration r1 va_s0 va_k =
| let va_sM, va_f0, hh = va_lemma_Poly1305_iteration (va_code_Poly1305_iteration ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM
(va_update_flags va_sM
(va_update_reg64 rRbp
va_sM
(va_update_reg64 rRbx
va_sM
(va_update_reg64 rR14
va_sM
(va_update_reg64 rR10
va_sM
(va_update_reg64 rR9
va_sM
(va_update_reg64 rR8
va_sM
(va_update_reg64 rRdx
va_sM
(va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
));
va_lemma_norm_mods ([
va_Mod_flags;
va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx;
va_Mod_reg64 rR14;
va_Mod_reg64 rR10;
va_Mod_reg64 rR9;
va_Mod_reg64 rR8;
va_Mod_reg64 rRdx;
va_Mod_reg64 rRax
])
va_sM
va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_wpProof_Poly1305_reduce | val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g)))) | val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g)))) | let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 460,
"start_col": 0,
"start_line": 451
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g)))) | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.int -> Type0)
-> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.int) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_state",
"Prims.int",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Prims.unit",
"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_reg64",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Machine_s.rR10",
"Vale.X64.Machine_s.rRax",
"Prims.Nil",
"Prims._assert",
"Vale.X64.Decls.va_state_eq",
"Vale.X64.Decls.va_update_flags",
"Vale.X64.Decls.va_update_reg64",
"Vale.X64.Decls.va_update_ok",
"Vale.X64.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"Vale.X64.State.vale_state",
"Vale.Poly1305.X64.va_lemma_Poly1305_reduce",
"Vale.Poly1305.X64.va_code_Poly1305_reduce"
] | [] | false | false | false | false | false | let va_wpProof_Poly1305_reduce va_s0 va_k =
| let va_sM, va_f0, hh = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM
(va_update_flags va_sM
(va_update_reg64 rRbp
va_sM
(va_update_reg64 rRbx
va_sM
(va_update_reg64 rR14
va_sM
(va_update_reg64 rR10
va_sM
(va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([
va_Mod_flags;
va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx;
va_Mod_reg64 rR14;
va_Mod_reg64 rR10;
va_Mod_reg64 rRax
])
va_sM
va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_wp_Poly1305_iteration | val va_wp_Poly1305_iteration (r1: nat64) (va_s0: va_state) (va_k: (va_state -> int -> Type0))
: Type0 | val va_wp_Poly1305_iteration (r1: nat64) (va_s0: va_state) (va_k: (va_state -> int -> Type0))
: Type0 | let va_wp_Poly1305_iteration (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1) /\ (forall (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp
(va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) ==> va_k va_sM
((hh)))) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 12,
"end_line": 625,
"start_col": 0,
"start_line": 600
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce)
//--
//-- Poly1305_iteration
val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_iteration () =
(va_Block (va_CCons (va_code_Poly1305_multiply ()) (va_CCons (va_code_Poly1305_reduce ())
(va_CNil ()))))
val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_iteration () =
(va_pbool_and (va_codegen_success_Poly1305_multiply ()) (va_pbool_and
(va_codegen_success_Poly1305_reduce ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_iteration (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_iteration ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in let (va_arg50:Prims.int) = n `op_Division` 16 in let
(va_arg49:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg48:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg48 7 va_arg49 va_arg50)
(let (va_arg47:Prims.int) = n `op_Division` 16 in let (va_arg46:Prims.int) = r1 in let
(va_arg45:Prims.int) = n in let (va_arg44:Prims.int) = va_get_reg64 rR14 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 211 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg44 va_arg45 va_arg46
va_arg47) (let (va_arg43:Prims.int) = n `op_Division` 16 in let (va_arg42:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg41:Prims.int) = n in let (va_arg40:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg40 va_arg41 va_arg42
va_arg43) (let (va_arg39:Prims.int) = n `op_Division` 8 in let (va_arg38:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg37:Prims.int) = n in let (va_arg36:Prims.int) =
va_get_reg64 rRbp va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg36 va_arg37 va_arg38
va_arg39) (let (va_arg35:Prims.int) = n `op_Division` 16 in let (va_arg34:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg33:Prims.int) = n in let (va_arg32:Prims.int) =
va_get_reg64 rR14 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg32 va_arg33 va_arg34
va_arg35) (let (va_arg31:Prims.int) = n `op_Division` 8 in let (va_arg30:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg29:Prims.int) = n in let (va_arg28:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg28 va_arg29 va_arg30
va_arg31) (let (va_arg27:Prims.int) = 5 `op_Multiply` n `op_Division` 64 in let
(va_arg26:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg25:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg25 7 va_arg26 va_arg27)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 218 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_multiply r1) (fun (va_s:va_state) (hd:int) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_reduce ()) (fun (va_s:va_state) (hh:int) -> va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 220 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 221 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(l_and (hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_s) + va_mul_nat n (va_get_reg64
rRbx va_s) + va_get_reg64 rR14 va_s) (va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p))
(va_QEmpty ((hh)))))))))))))))
val va_lemma_Poly1305_iteration : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_iteration ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp (va_mul_nat h r) ==
Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_iteration va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_iteration va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_iteration ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 180 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 201 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp (va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh) | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
r1: Vale.X64.Memory.nat64 ->
va_s0: Vale.X64.Decls.va_state ->
va_k: (_: Vale.X64.Decls.va_state -> _: Prims.int -> Type0)
-> Type0 | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.Memory.nat64",
"Vale.X64.Decls.va_state",
"Prims.int",
"Prims.l_and",
"Prims.b2t",
"Vale.X64.Decls.va_get_ok",
"Prims.op_LessThan",
"Vale.X64.Decls.va_get_reg64",
"Vale.X64.Machine_s.rR11",
"Prims.op_Division",
"Prims.eq2",
"Prims.op_Modulus",
"Vale.X64.Machine_s.rR13",
"Prims.op_Addition",
"Vale.X64.Machine_s.rRbp",
"Vale.Def.Words_s.nat64",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Decls.va_int_range",
"Vale.X64.Decls.va_mul_nat",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rR14",
"Prims.op_Subtraction",
"Prims.op_Multiply",
"Prims.l_Forall",
"Vale.X64.Flags.t",
"Prims.l_imp",
"Vale.Poly1305.Spec_s.modp",
"Vale.X64.State.vale_state",
"Vale.X64.Decls.va_upd_flags",
"Vale.X64.Decls.va_upd_reg64",
"Vale.X64.Machine_s.rR10",
"Vale.X64.Machine_s.rR9",
"Vale.X64.Machine_s.rR8",
"Vale.X64.Machine_s.rRdx"
] | [] | false | false | false | true | true | let va_wp_Poly1305_iteration (r1: nat64) (va_s0: va_state) (va_k: (va_state -> int -> Type0))
: Type0 =
| (va_get_ok va_s0 /\
(let n:(va_int_range 18446744073709551616 18446744073709551616) = 18446744073709551616 in
let p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) =
(va_mul_nat n n) `op_Multiply` 4 - 5
in
let r:(va_int_range 0 340282366920938463463374607431768211455) =
va_mul_nat r1 n + va_get_reg64 rR11 va_s0
in
let h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895) =
va_mul_nat (va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0
in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\
va_get_reg64 rRbp va_s0 < 7 /\ va_get_reg64 rRax va_s0 == r1) /\
(forall (va_x_rax: nat64) (va_x_rdx: nat64) (va_x_r8: nat64) (va_x_r9: nat64) (va_x_r10: nat64)
(va_x_r14: nat64) (va_x_rbx: nat64) (va_x_rbp: nat64) (va_x_efl: Vale.X64.Flags.t) (hh: int).
let va_sM =
va_upd_flags va_x_efl
(va_upd_reg64 rRbp
va_x_rbp
(va_upd_reg64 rRbx
va_x_rbx
(va_upd_reg64 rR14
va_x_r14
(va_upd_reg64 rR10
va_x_r10
(va_upd_reg64 rR9
va_x_r9
(va_upd_reg64 rR8
va_x_r8
(va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax va_s0)))))
)))
in
va_get_ok va_sM /\
(let n:(va_int_range 18446744073709551616 18446744073709551616) = 18446744073709551616 in
let p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) =
(va_mul_nat n n) `op_Multiply` 4 - 5
in
let r:(va_int_range 0 340282366920938463463374607431768211455) =
va_mul_nat r1 n + va_get_reg64 rR11 va_s0
in
let h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895) =
va_mul_nat (va_get_reg64 rRbp va_s0) (va_mul_nat n n) +
va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0
in
hh ==
va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) +
va_get_reg64 rR14 va_sM /\
Vale.Poly1305.Spec_s.modp (va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh /\
va_get_reg64 rRbp va_sM < 5) ==>
va_k va_sM ((hh)))) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_quick_Poly1305_iteration | val va_quick_Poly1305_iteration (r1: nat64) : (va_quickCode int (va_code_Poly1305_iteration ())) | val va_quick_Poly1305_iteration (r1: nat64) : (va_quickCode int (va_code_Poly1305_iteration ())) | let va_quick_Poly1305_iteration (r1:nat64) : (va_quickCode int (va_code_Poly1305_iteration ())) =
(va_QProc (va_code_Poly1305_iteration ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRax]) (va_wp_Poly1305_iteration r1) (va_wpProof_Poly1305_iteration r1)) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 89,
"end_line": 652,
"start_col": 0,
"start_line": 649
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce)
//--
//-- Poly1305_iteration
val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_iteration () =
(va_Block (va_CCons (va_code_Poly1305_multiply ()) (va_CCons (va_code_Poly1305_reduce ())
(va_CNil ()))))
val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_iteration () =
(va_pbool_and (va_codegen_success_Poly1305_multiply ()) (va_pbool_and
(va_codegen_success_Poly1305_reduce ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_iteration (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_iteration ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in let (va_arg50:Prims.int) = n `op_Division` 16 in let
(va_arg49:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg48:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg48 7 va_arg49 va_arg50)
(let (va_arg47:Prims.int) = n `op_Division` 16 in let (va_arg46:Prims.int) = r1 in let
(va_arg45:Prims.int) = n in let (va_arg44:Prims.int) = va_get_reg64 rR14 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 211 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg44 va_arg45 va_arg46
va_arg47) (let (va_arg43:Prims.int) = n `op_Division` 16 in let (va_arg42:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg41:Prims.int) = n in let (va_arg40:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg40 va_arg41 va_arg42
va_arg43) (let (va_arg39:Prims.int) = n `op_Division` 8 in let (va_arg38:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg37:Prims.int) = n in let (va_arg36:Prims.int) =
va_get_reg64 rRbp va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg36 va_arg37 va_arg38
va_arg39) (let (va_arg35:Prims.int) = n `op_Division` 16 in let (va_arg34:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg33:Prims.int) = n in let (va_arg32:Prims.int) =
va_get_reg64 rR14 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg32 va_arg33 va_arg34
va_arg35) (let (va_arg31:Prims.int) = n `op_Division` 8 in let (va_arg30:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg29:Prims.int) = n in let (va_arg28:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg28 va_arg29 va_arg30
va_arg31) (let (va_arg27:Prims.int) = 5 `op_Multiply` n `op_Division` 64 in let
(va_arg26:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg25:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg25 7 va_arg26 va_arg27)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 218 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_multiply r1) (fun (va_s:va_state) (hd:int) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_reduce ()) (fun (va_s:va_state) (hh:int) -> va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 220 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 221 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(l_and (hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_s) + va_mul_nat n (va_get_reg64
rRbx va_s) + va_get_reg64 rR14 va_s) (va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p))
(va_QEmpty ((hh)))))))))))))))
val va_lemma_Poly1305_iteration : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_iteration ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp (va_mul_nat h r) ==
Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_iteration va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_iteration va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_iteration ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 180 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 201 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp (va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_iteration (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1) /\ (forall (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp
(va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_iteration : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_iteration r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_iteration ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_iteration r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_iteration (va_code_Poly1305_iteration ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g) | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | r1: Vale.X64.Memory.nat64
-> Vale.X64.QuickCode.va_quickCode Prims.int (Vale.Poly1305.X64.va_code_Poly1305_iteration ()) | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.Memory.nat64",
"Vale.X64.QuickCode.va_QProc",
"Prims.int",
"Vale.Poly1305.X64.va_code_Poly1305_iteration",
"Prims.Cons",
"Vale.X64.QuickCode.mod_t",
"Vale.X64.QuickCode.va_Mod_flags",
"Vale.X64.QuickCode.va_Mod_reg64",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Machine_s.rR10",
"Vale.X64.Machine_s.rR9",
"Vale.X64.Machine_s.rR8",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Machine_s.rRax",
"Prims.Nil",
"Vale.Poly1305.X64.va_wp_Poly1305_iteration",
"Vale.Poly1305.X64.va_wpProof_Poly1305_iteration",
"Vale.X64.QuickCode.va_quickCode"
] | [] | false | false | false | false | false | let va_quick_Poly1305_iteration (r1: nat64) : (va_quickCode int (va_code_Poly1305_iteration ())) =
| (va_QProc (va_code_Poly1305_iteration ())
([
va_Mod_flags;
va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx;
va_Mod_reg64 rR14;
va_Mod_reg64 rR10;
va_Mod_reg64 rR9;
va_Mod_reg64 rR8;
va_Mod_reg64 rRdx;
va_Mod_reg64 rRax
])
(va_wp_Poly1305_iteration r1)
(va_wpProof_Poly1305_iteration r1)) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_codegen_success_Poly1305_last_block | val va_codegen_success_Poly1305_last_block : va_dummy:unit -> Tot va_pbool | val va_codegen_success_Poly1305_last_block : va_dummy:unit -> Tot va_pbool | let va_codegen_success_Poly1305_last_block () =
(va_pbool_and (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx)
(va_op_opr64_reg64 rR15)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRcx)
(va_const_shift_amt64 3)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx)
(va_const_opr64 1)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRdx)
(va_op_shift_amt64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRcx) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64
rRcx) (va_const_opr64 1)) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9)
(va_const_opr64 0)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_pbool_and
(va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 8)) (va_pbool_and
(va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_pbool_and
(va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64
rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRdx)) (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_const_opr64 0))))))))))))))))))))))))))))) (va_pbool_and
(va_codegen_success_Poly1305_iteration ()) (va_ttrue ()))) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 62,
"end_line": 1731,
"start_col": 0,
"start_line": 1700
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce)
//--
//-- Poly1305_iteration
val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_iteration () =
(va_Block (va_CCons (va_code_Poly1305_multiply ()) (va_CCons (va_code_Poly1305_reduce ())
(va_CNil ()))))
val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_iteration () =
(va_pbool_and (va_codegen_success_Poly1305_multiply ()) (va_pbool_and
(va_codegen_success_Poly1305_reduce ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_iteration (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_iteration ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in let (va_arg50:Prims.int) = n `op_Division` 16 in let
(va_arg49:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg48:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg48 7 va_arg49 va_arg50)
(let (va_arg47:Prims.int) = n `op_Division` 16 in let (va_arg46:Prims.int) = r1 in let
(va_arg45:Prims.int) = n in let (va_arg44:Prims.int) = va_get_reg64 rR14 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 211 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg44 va_arg45 va_arg46
va_arg47) (let (va_arg43:Prims.int) = n `op_Division` 16 in let (va_arg42:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg41:Prims.int) = n in let (va_arg40:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg40 va_arg41 va_arg42
va_arg43) (let (va_arg39:Prims.int) = n `op_Division` 8 in let (va_arg38:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg37:Prims.int) = n in let (va_arg36:Prims.int) =
va_get_reg64 rRbp va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg36 va_arg37 va_arg38
va_arg39) (let (va_arg35:Prims.int) = n `op_Division` 16 in let (va_arg34:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg33:Prims.int) = n in let (va_arg32:Prims.int) =
va_get_reg64 rR14 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg32 va_arg33 va_arg34
va_arg35) (let (va_arg31:Prims.int) = n `op_Division` 8 in let (va_arg30:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg29:Prims.int) = n in let (va_arg28:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg28 va_arg29 va_arg30
va_arg31) (let (va_arg27:Prims.int) = 5 `op_Multiply` n `op_Division` 64 in let
(va_arg26:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg25:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg25 7 va_arg26 va_arg27)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 218 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_multiply r1) (fun (va_s:va_state) (hd:int) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_reduce ()) (fun (va_s:va_state) (hh:int) -> va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 220 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 221 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(l_and (hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_s) + va_mul_nat n (va_get_reg64
rRbx va_s) + va_get_reg64 rR14 va_s) (va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p))
(va_QEmpty ((hh)))))))))))))))
val va_lemma_Poly1305_iteration : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_iteration ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp (va_mul_nat h r) ==
Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_iteration va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_iteration va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_iteration ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 180 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 201 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp (va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_iteration (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1) /\ (forall (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp
(va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_iteration : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_iteration r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_iteration ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_iteration r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_iteration (va_code_Poly1305_iteration ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_iteration (r1:nat64) : (va_quickCode int (va_code_Poly1305_iteration ())) =
(va_QProc (va_code_Poly1305_iteration ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRax]) (va_wp_Poly1305_iteration r1) (va_wpProof_Poly1305_iteration r1))
//--
//-- Poly1305_blocks_body0
val va_code_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_body0 () =
(va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Public))
(va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_CCons
(va_code_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (va_CCons
(va_code_Poly1305_iteration ()) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64
1)) (va_CNil ())))))))))))
val va_codegen_success_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_body0 () =
(va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0)
(va_op_reg64_reg64 rRsi) 0 Public)) (va_pbool_and (va_codegen_success_Mem64_lemma ())
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64
(va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_pbool_and
(va_codegen_success_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi)
(va_const_opr64 16)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Poly1305_iteration ())
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1))
(va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_body0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in let (nn:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (hp:int) = h in let (h:int) = h +
va_mul_nat (va_mul_nat nn nn) (va_get_reg64 rRcx va_s) + va_mul_nat nn
(Vale.X64.Decls.buffer64_read inp_b (word_index + 1) (va_get_mem_heaplet 0 va_s)) +
Vale.X64.Decls.buffer64_read inp_b word_index (va_get_mem_heaplet 0 va_s) in let (hq:int) = h
in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inp_b word_index
Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 0 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inp_b
(word_index + 1) Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 355 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 356 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state)
_ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 358 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hq == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat nn nn) + va_mul_nat (va_get_reg64 rRbx
va_s) nn + va_get_reg64 rR14 va_s) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 360 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration (va_get_reg64 rR12 va_s)) (fun (va_s:va_state) (h:int) -> va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 362 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 363 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1)) (fun (va_s:va_state) _ -> let
(word_index:nat) = word_index + 2 in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 366 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index) (let
(va_arg50:Prims.int) = word_index in let (va_arg49:(FStar.Seq.Base.seq Vale.X64.Memory.nat64))
= Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b in let (va_arg48:Prims.int)
= r in let (va_arg47:Prims.int) = va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let
(va_arg46:Prims.int) = Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 368 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg46 va_arg47 va_arg48
va_arg49 va_arg50) (let (va_arg45:Prims.int) = word_index - 2 in let
(va_arg44:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg43:Prims.int) = r in let (va_arg42:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let (va_arg41:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 369 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg41 va_arg42 va_arg43
va_arg44 va_arg45) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 370 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:Prims.int) = r in let (va_arg39:Prims.int) = hq - hp in let (va_arg38:Prims.int) = hp
in let (va_arg37:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg37 va_arg38 va_arg39 va_arg40)
(va_QEmpty (())))))) (va_QEmpty ((h, word_index)))))))))))))))
val va_lemma_Poly1305_blocks_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old /\ va_get_reg64 rR15 va_s0 =!= 0))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15
va_s0) /\ va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_body0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_body0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_body0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 345 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
va_get_reg64 rR15 va_s0 =!= 0 /\ (forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_rax:nat64) (va_x_rbp:nat64) (va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int)
(word_index:nat) . let va_sM = va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64
rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10 (va_upd_ok va_x_ok (va_upd_flags va_x_efl
va_s0))))))))))) in va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n ==
va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\
va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h ==
va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64
rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12
va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64
rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM ==
va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM
== va_get_reg64 rRsi va_old + va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64
/\ va_in_length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8
`op_Multiply` (word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8
`op_Multiply` word_index == va_in_length /\ va_get_reg64 rRsi va_sM + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) +
8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_sM < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM)
(va_get_reg64 rRdi va_sM) va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old /\
precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_body0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int ->
va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_body0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_body0 (va_code_Poly1305_blocks_body0
()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r
va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_body0 ())) =
(va_QProc (va_code_Poly1305_blocks_body0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64
rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks_while0
val va_code_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_while0 () =
(va_Block (va_CCons (va_While (va_cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (va_Block
(va_CCons (va_code_Poly1305_blocks_body0 ()) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_while0 () =
(va_pbool_and (va_codegen_success_Poly1305_blocks_body0 ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_while0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_qWhile va_mods (Cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (fun va_g -> let (h:int) =
let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g in
word_index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_body0 va_old ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QEmpty ((h, word_index))))) (fun
(va_s:va_state) va_g -> let (h:int) = let (h, word_index) = va_g in h in let (word_index:nat) =
let (h, word_index) = va_g in word_index in va_get_ok va_s /\ n == pow2_64 /\ va_mul_nat n n ==
va_mul_nat pow2_64 pow2_64 /\ p == va_mul_nat n n `op_Multiply` 4 - 5 /\ r == va_mul_nat
(va_get_reg64 rR12 va_s) n + va_get_reg64 rR11 va_s /\ h == va_mul_nat (va_get_reg64 rRbp va_s)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s) pow2_64 + va_get_reg64 rR14
va_s /\ va_get_reg64 rR11 va_s < n `op_Division` 16 /\ va_get_reg64 rR12 va_s < n `op_Division`
16 /\ va_get_reg64 rR12 va_s `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s == va_get_reg64 rR12
va_s + va_get_reg64 rR12 va_s `op_Division` 4 /\ va_get_reg64 rRbp va_s < 5 /\ va_get_reg64
rRax va_s == va_get_reg64 rR12 va_s /\ va_get_reg64 rRsi va_s + 16 `op_Multiply` va_get_reg64
rR15 va_s == va_get_reg64 rRsi va_old + length /\ va_get_reg64 rRsi va_old + length < pow2_64
/\ length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s =!= 0 ==> 8 `op_Multiply`
(word_index + 1) <= length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s + 8 `op_Multiply`
word_index == length /\ va_get_reg64 rRsi va_s + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 inp_b (va_get_mem_heaplet 0 va_s) + 8 `op_Multiply` word_index /\
va_get_reg64 rR15 va_s `op_Multiply` 16 <= length /\ va_get_reg64 rRcx va_s < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s) (va_get_reg64 rRdi va_s) ctx_b 24
(va_get_mem_layout va_s) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s)
(va_get_reg64 rRsi va_old) inp_b (length `op_Division` 8) (va_get_mem_layout va_s) Public /\
va_get_reg64 rRdi va_s == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s == va_get_reg64
rRcx va_old /\ (va_get_reg64 rRsi va_s - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index /\
va_get_mem_heaplet 1 va_s == va_get_mem_heaplet 1 va_old) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in va_get_reg64 rR15 va_s) ((h, word_index))) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in let va_g = (h, word_index) in let ((h:int), (word_index:nat)) = va_g in
va_QEmpty ((h, word_index)))))
val va_lemma_Poly1305_blocks_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_while0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) /\ va_state_eq va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_while0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_while0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_while0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(~(va_get_reg64 rR15 va_sM =!= 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
(forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r14:nat64)
(va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_rax:nat64) (va_x_rbp:nat64)
(va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int) (word_index:nat) . let va_sM =
va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_ok va_x_ok (va_upd_flags va_x_efl va_s0))))))))))) in va_get_ok va_sM /\ va_in_n ==
pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat
va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n
+ va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64
pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\
va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM ==
va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM <
5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16
`op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ 16
`op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length /\
va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b
(va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM
`op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_while0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int
-> va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_while0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length
va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_while0
(va_code_Poly1305_blocks_while0 ()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_while0 ())) =
(va_QProc (va_code_Poly1305_blocks_while0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx;
va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks
val va_code_Poly1305_blocks : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks () =
(va_Block (va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi) 24 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRdi) 32
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rR14) (va_op_reg_opr64_reg64 rRdi) 0 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRdi) 8
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rRbp) (va_op_reg_opr64_reg64 rRdi) 16 Public) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rR12) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rR13)
(va_const_shift_amt64 2)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rR13)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Poly1305_blocks_while0 ()) (va_CCons
(va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR14) 0 Public) (va_CCons (va_code_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRbx) 8
Public) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64
rRdi) (va_op_reg_opr64_reg64 rRbp) 16 Public) (va_CNil ())))))))))))))))))
val va_codegen_success_Poly1305_blocks : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks () =
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx))
(va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdi) 24 Public) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13)
(va_op_reg_opr64_reg64 rRdi) 32 Public) (va_pbool_and (va_codegen_success_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR14) (va_op_reg_opr64_reg64 rRdi) 0
Public) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRdi) 8 Public) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbp)
(va_op_reg_opr64_reg64 rRdi) 16 Public) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Shr64
(va_op_dst_opr64_reg64 rR13) (va_const_shift_amt64 2)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_pbool_and (va_codegen_success_Add64
(va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rR12)) (va_pbool_and
(va_codegen_success_Poly1305_blocks_while0 ()) (va_pbool_and (va_codegen_success_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR14) 0
Public) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRbx) 8 Public) (va_pbool_and
(va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbp) 16 Public) (va_ttrue ()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks (va_mods:va_mods_t) (r:int) (h_in:int) (ctx_b:buffer64)
(inp_b:buffer64) : (va_quickCode (int) (va_code_Poly1305_blocks ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 285 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (let (length:int) = va_get_reg64 rRdx
va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 289 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 292 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 294 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi) 24 Public ctx_b 3) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 295 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13)
(va_op_reg_opr64_reg64 rRdi) 32 Public ctx_b 4) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 297 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR14)
(va_op_reg_opr64_reg64 rRdi) 0 Public ctx_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 298 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbx)
(va_op_reg_opr64_reg64 rRdi) 8 Public ctx_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 299 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbp)
(va_op_reg_opr64_reg64 rRdi) 16 Public ctx_b 2) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 301 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR13) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 303 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 304 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rR12)) (fun (va_s:va_state) _
-> let (h:int) = h_in in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 307 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) 0) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 309 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg39:Prims.int) = r in let (va_arg38:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n) in let (va_arg37:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 310 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg37 va_arg38 va_arg39
va_arg40 0) (va_QEmpty (())))) (let (word_index:nat) = 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 315 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_while0 va_old_s ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 374 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR14) 0 Public ctx_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 375 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbx) 8 Public ctx_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 376 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbp) 16 Public ctx_b 2) (va_QEmpty ((h)))))))))))))))))))))
val va_lemma_Poly1305_blocks : va_b0:va_code -> va_s0:va_state -> r:int -> h_in:int ->
ctx_b:buffer64 -> inp_b:buffer64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64 rRdx va_s0 `op_Modulus` 16 == 0 /\
va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 < pow2_64 /\ Vale.X64.Decls.validDstAddrs64
(va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) ctx_b 24 (va_get_mem_layout va_s0)
Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0)
inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout va_s0) Public /\ (let h0_in
= Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_s0) in let h1_in =
Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_s0) in let h2_in =
Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_s0) in let r0_in =
Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_s0) in let r1_in =
Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_s0) in h_in == va_mul_nat h2_in
(va_mul_nat n n) + va_mul_nat h1_in n + h0_in /\ r == va_mul_nat r1_in n + r0_in /\ r0_in < n
`op_Division` 16 /\ r1_in < n `op_Division` 16 /\ r1_in `op_Modulus` 4 == 0 /\ h2_in < 5 /\
va_get_reg64 rRcx va_s0 < 2))))
(ensures (fun (va_sM, va_fM, h) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64
rRbp va_sM < 5 /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64
rRdi va_sM) ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0
`op_Division` 8) (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.modifies_buffer_specific
ctx_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM) 0 2 /\ va_get_reg64 rR14 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbx va_sM
== Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbp va_sM
== Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR11 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR12 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR13 va_sM
== va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRsi va_sM
== va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRcx va_sM == va_get_reg64
rRcx va_s0 /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 /\ (let r0_in =
Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) in let r1_in =
Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) in h == va_mul_nat
(va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM)
pow2_64 + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0 `op_Division` 8))) /\ va_state_eq
va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rRax va_sM (va_update_reg64 rRbp 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_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx 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_Poly1305_blocks va_b0 va_s0 r h_in ctx_b inp_b =
let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64
rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rRdx; va_Mod_reg64 rRsi; va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_Poly1305_blocks va_mods r h_in ctx_b inp_b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let h = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in label
va_range1
"***** POSTCONDITION NOT MET AT line 264 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 265 column 66 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) ctx_b 24
(va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 266 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_s0) inp_b
(va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 267 column 65 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific ctx_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet
1 va_sM) 0 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 268 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR14 va_sM == Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 269 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 270 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM == Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 271 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 272 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM == Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 273 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 274 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 277 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 278 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 280 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) in label
va_range1
"***** POSTCONDITION NOT MET AT line 281 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) in label
va_range1
"***** POSTCONDITION NOT MET AT line 282 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 283 column 118 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0
`op_Division` 8)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_ok; va_Mod_mem]) va_sM va_s0;
let h = va_g in
(va_sM, va_fM, h)
[@ va_qattr]
let va_wp_Poly1305_blocks (r:int) (h_in:int) (ctx_b:buffer64) (inp_b:buffer64) (va_s0:va_state)
(va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64
rRdx va_s0 `op_Modulus` 16 == 0 /\ va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 < pow2_64
/\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) ctx_b
24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0
va_s0) (va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8)
(va_get_mem_layout va_s0) Public /\ (let h0_in = Vale.X64.Decls.buffer64_read ctx_b 0
(va_get_mem_heaplet 1 va_s0) in let h1_in = Vale.X64.Decls.buffer64_read ctx_b 1
(va_get_mem_heaplet 1 va_s0) in let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2
(va_get_mem_heaplet 1 va_s0) in let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3
(va_get_mem_heaplet 1 va_s0) in let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4
(va_get_mem_heaplet 1 va_s0) in h_in == va_mul_nat h2_in (va_mul_nat n n) + va_mul_nat h1_in n
+ h0_in /\ r == va_mul_nat r1_in n + r0_in /\ r0_in < n `op_Division` 16 /\ r1_in < n
`op_Division` 16 /\ r1_in `op_Modulus` 4 == 0 /\ h2_in < 5 /\ va_get_reg64 rRcx va_s0 < 2)) /\
(forall (va_x_mem:vale_heap) (va_x_rsi:nat64) (va_x_rdx:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_r10:nat64) (va_x_r11:nat64) (va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64)
(va_x_rbx:nat64) (va_x_rbp:nat64) (va_x_rax:nat64) (va_x_r15:nat64) (va_x_efl:Vale.X64.Flags.t)
(va_x_heap1:vale_heap) (h:int) . let va_sM = va_upd_mem_heaplet 1 va_x_heap1 (va_upd_flags
va_x_efl (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRbp va_x_rbp
(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_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRsi va_x_rsi (va_upd_mem va_x_mem va_s0))))))))))))))) in va_get_ok va_sM /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64 rRbp va_sM < 5 /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) ctx_b 24
(va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM)
(va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout
va_sM) Public /\ Vale.X64.Decls.modifies_buffer_specific ctx_b (va_get_mem_heaplet 1 va_s0)
(va_get_mem_heaplet 1 va_sM) 0 2 /\ va_get_reg64 rR14 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 0 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbx va_sM == Vale.X64.Decls.buffer64_read
ctx_b 1 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbp va_sM == Vale.X64.Decls.buffer64_read
ctx_b 2 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 3 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR12 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 4 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM +
va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 +
va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0 /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_s0 /\ (let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3
(va_get_mem_heaplet 1 va_sM) in let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4
(va_get_mem_heaplet 1 va_sM) in h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64
pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0
`op_Division` 8))) ==> va_k va_sM ((h))))
val va_wpProof_Poly1305_blocks : r:int -> h_in:int -> ctx_b:buffer64 -> inp_b:buffer64 ->
va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks r h_in ctx_b inp_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks ())
([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi;
va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks r h_in ctx_b inp_b va_s0 va_k =
let (va_sM, va_f0, h) = va_lemma_Poly1305_blocks (va_code_Poly1305_blocks ()) va_s0 r h_in ctx_b
inp_b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM (va_update_reg64
rR15 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRbp 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_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx 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_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_mem]) va_sM va_s0;
let va_g = (h) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks (r:int) (h_in:int) (ctx_b:buffer64) (inp_b:buffer64) : (va_quickCode
int (va_code_Poly1305_blocks ())) =
(va_QProc (va_code_Poly1305_blocks ()) ([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15;
va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_mem]) (va_wp_Poly1305_blocks r h_in ctx_b inp_b)
(va_wpProof_Poly1305_blocks r h_in ctx_b inp_b))
//--
//-- Poly1305_last_block
val va_code_Poly1305_last_block : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_last_block () =
(va_Block (va_CCons (va_IfElse (va_cmp_lt (va_op_cmp_reg64 rR15) (va_const_cmp 8)) (va_Block
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_CCons
(va_code_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_CCons (va_code_Shl64
(va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Sub64
(va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ())))))))))))))))) (va_Block
(va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx)
(va_op_opr64_reg64 rR15)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64
8)) (va_CCons (va_code_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_CCons (va_code_Shl64
(va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (va_CCons (va_Block (va_CNil ()))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))))))))))) (va_CCons
(va_code_Poly1305_iteration ()) (va_CNil ()))))
val va_codegen_success_Poly1305_last_block : va_dummy:unit -> Tot va_pbool | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.X64.Decls.va_pbool | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.X64.Decls.va_pbool_and",
"Vale.X64.InsBasic.va_codegen_success_Mov64",
"Vale.X64.Decls.va_op_dst_opr64_reg64",
"Vale.X64.Machine_s.rRcx",
"Vale.X64.Decls.va_op_opr64_reg64",
"Vale.X64.Machine_s.rR15",
"Vale.X64.InsBasic.va_codegen_success_Shl64",
"Vale.X64.Decls.va_const_shift_amt64",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Decls.va_const_opr64",
"Vale.X64.Decls.va_op_shift_amt64_reg64",
"Vale.X64.InsBasic.va_codegen_success_Sub64",
"Vale.X64.InsBasic.va_codegen_success_And64",
"Vale.X64.Machine_s.rR8",
"Vale.X64.Machine_s.rR9",
"Vale.X64.InsBasic.va_codegen_success_Add64Wrap",
"Vale.X64.Machine_s.rR14",
"Vale.X64.InsBasic.va_codegen_success_Adc64Wrap",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rRbp",
"Vale.Poly1305.X64.va_codegen_success_Poly1305_iteration",
"Vale.X64.Decls.va_ttrue",
"Vale.X64.Decls.va_pbool"
] | [] | false | false | false | true | false | let va_codegen_success_Poly1305_last_block () =
| (va_pbool_and (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx)
(va_op_opr64_reg64 rR15))
(va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRcx)
(va_const_shift_amt64 3))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1))
(va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRdx)
(va_op_shift_amt64_reg64 rRcx))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx)
(va_op_opr64_reg64 rRdx))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rRcx)
(va_const_opr64 1))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRcx))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9)
(va_const_opr64 0))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rR14)
(va_op_opr64_reg64 rR8))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx)
(va_op_opr64_reg64 rR9))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp)
(va_const_opr64 0))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rR14)
(va_op_opr64_reg64 rRdx))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx)
(va_const_opr64 0))
(va_pbool_and (va_codegen_success_Adc64Wrap (
va_op_dst_opr64_reg64 rRbp)
(va_const_opr64 0))
(va_pbool_and (va_codegen_success_Mov64 (
va_op_dst_opr64_reg64 rRcx)
(va_op_opr64_reg64 rR15))
(va_pbool_and (va_codegen_success_Sub64
(va_op_dst_opr64_reg64 rRcx)
(va_const_opr64 8))
(va_pbool_and (va_codegen_success_Shl64
(va_op_dst_opr64_reg64 rRcx
)
(va_const_shift_amt64 3)
)
(va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64
rRdx)
(va_const_opr64 1))
(va_pbool_and (va_codegen_success_Shl64
(va_op_dst_opr64_reg64
rRdx)
(va_op_shift_amt64_reg64
rRcx))
(va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64
rRcx)
(va_op_opr64_reg64
rRdx))
(va_pbool_and (va_codegen_success_Sub64
(va_op_dst_opr64_reg64
rRcx
)
(va_const_opr64
1))
(va_pbool_and
(va_codegen_success_And64
(va_op_dst_opr64_reg64
rR9
)
(va_op_opr64_reg64
rRcx
))
(va_pbool_and
(va_codegen_success_Add64Wrap
(
va_op_dst_opr64_reg64
rR14
)
(
va_op_opr64_reg64
rR8
)
)
(va_pbool_and
(
va_codegen_success_Adc64Wrap
(
va_op_dst_opr64_reg64
rRbx
)
(
va_op_opr64_reg64
rR9
)
)
(
va_pbool_and
(
va_codegen_success_Adc64Wrap
(
va_op_dst_opr64_reg64
rRbp
)
(
va_const_opr64
0
)
)
(
va_pbool_and
(
va_codegen_success_Add64Wrap
(
va_op_dst_opr64_reg64
rR14
)
(
va_const_opr64
0
)
)
(
va_pbool_and
(
va_codegen_success_Adc64Wrap
(
va_op_dst_opr64_reg64
rRbx
)
(
va_op_opr64_reg64
rRdx
)
)
(
va_codegen_success_Adc64Wrap
(
va_op_dst_opr64_reg64
rRbp
)
(
va_const_opr64
0
)
)
)
)
)
))
))))))))))))
))))))))))
(va_pbool_and (va_codegen_success_Poly1305_iteration ()) (va_ttrue ()))) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_qcode_Poly1305_reduce | val va_qcode_Poly1305_reduce (va_mods: va_mods_t)
: (va_quickCode (int) (va_code_Poly1305_reduce ())) | val va_qcode_Poly1305_reduce (va_mods: va_mods_t)
: (va_quickCode (int) (va_code_Poly1305_reduce ())) | let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh)))))))))))))) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 61,
"end_line": 369,
"start_col": 0,
"start_line": 333
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ()))))))))) | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_mods: Vale.X64.QuickCode.va_mods_t
-> Vale.X64.QuickCode.va_quickCode Prims.int (Vale.Poly1305.X64.va_code_Poly1305_reduce ()) | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.QuickCode.va_mods_t",
"Vale.X64.QuickCodes.qblock",
"Prims.int",
"Prims.Cons",
"Vale.X64.Decls.va_code",
"Vale.X64.InsBasic.va_code_And64",
"Vale.X64.Decls.va_op_dst_opr64_reg64",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Decls.va_op_opr64_reg64",
"Vale.X64.Machine_s.rR10",
"Vale.X64.InsBasic.va_code_Mov64",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.InsBasic.va_code_Shr64",
"Vale.X64.Decls.va_const_shift_amt64",
"Vale.X64.Decls.va_const_opr64",
"Vale.X64.InsBasic.va_code_Add64Wrap",
"Vale.X64.Machine_s.rR14",
"Vale.X64.InsBasic.va_code_Adc64Wrap",
"Vale.X64.Machine_s.rRbx",
"Prims.Nil",
"Vale.X64.Machine_s.precode",
"Vale.X64.Decls.ins",
"Vale.X64.Decls.ocmp",
"Vale.X64.Decls.va_state",
"Vale.X64.QuickCodes.va_qPURE",
"Prims.pure_post",
"Prims.unit",
"Prims.l_and",
"Prims.l_True",
"Prims.l_Forall",
"Prims.l_imp",
"Vale.Def.Words_s.nat64",
"Prims.eq2",
"Vale.Def.Types_s.ishr",
"Prims.op_Division",
"Vale.Def.Types_s.iand",
"Prims.op_Modulus",
"Prims.op_Multiply",
"Prims.b2t",
"Prims.op_LessThan",
"Vale.X64.QuickCodes.va_range1",
"Vale.Poly1305.Math.lemma_poly_bits64",
"Vale.X64.QuickCodes.va_QSeq",
"Vale.X64.InsBasic.va_quick_And64",
"Vale.X64.InsBasic.va_quick_Mov64",
"Vale.X64.InsBasic.va_quick_Shr64",
"Vale.X64.InsBasic.va_quick_Add64Wrap",
"Vale.X64.InsBasic.va_quick_Adc64Wrap",
"Vale.X64.QuickCodes.va_QBind",
"Prims.op_GreaterThan",
"Prims.op_GreaterThanOrEqual",
"Prims.op_Addition",
"Vale.Poly1305.Math.lemma_poly_reduce",
"Vale.X64.QuickCodes.va_QEmpty",
"Vale.X64.Decls.va_get_reg64",
"Vale.X64.Decls.va_mul_nat",
"Vale.X64.Decls.va_int_range",
"Vale.X64.QuickCodes.quickCodes",
"Prims.op_Subtraction",
"Vale.X64.State.vale_state",
"Vale.X64.QuickCode.va_quickCode",
"Vale.Poly1305.X64.va_code_Poly1305_reduce"
] | [] | false | false | false | false | false | let va_qcode_Poly1305_reduce (va_mods: va_mods_t)
: (va_quickCode (int) (va_code_Poly1305_reduce ())) =
| (qblock va_mods
(fun (va_s: va_state) ->
let va_old_s:va_state = va_s in
let n:(va_int_range 18446744073709551616 18446744073709551616) = 18446744073709551616 in
let p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) =
(va_mul_nat n n) `op_Multiply` 4 - 5
in
let hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895) =
va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) +
va_mul_nat n (va_get_reg64 rRbx va_s) +
va_get_reg64 rR14 va_s
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_: unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ())
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR10))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_const_opr64 0))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_const_opr64 0))
(fun (va_s: va_state) _ ->
let h10:(va_int_range 0
340282366920938463463374607431768211455) =
va_mul_nat n (va_get_reg64 rRbx va_old_s) +
va_get_reg64 rR14 va_old_s
in
let hh:int =
h10 + va_get_reg64 rRax va_s +
va_mul_nat ((va_get_reg64 rR10 va_old_s)
`op_Modulus`
4)
(va_mul_nat n n)
in
let va_arg27:Prims.int = hh in
let va_arg26:Prims.int = va_get_reg64 rRax va_s in
let va_arg25:Prims.int = h10 in
let va_arg24:Prims.int = va_get_reg64 rR10 va_old_s in
let va_arg23:Prims.int = hd in
let va_arg22:Prims.int = p in
let va_arg21:Prims.int = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_: unit) ->
Vale.Poly1305.Math.lemma_poly_reduce va_arg21
va_arg22
va_arg23
va_arg24
va_arg25
va_arg26
va_arg27)
(va_QEmpty ((hh)))))))))))))) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_qcode_Poly1305_iteration | val va_qcode_Poly1305_iteration (va_mods: va_mods_t) (r1: nat64)
: (va_quickCode (int) (va_code_Poly1305_iteration ())) | val va_qcode_Poly1305_iteration (va_mods: va_mods_t) (r1: nat64)
: (va_quickCode (int) (va_code_Poly1305_iteration ())) | let va_qcode_Poly1305_iteration (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_iteration ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in let (va_arg50:Prims.int) = n `op_Division` 16 in let
(va_arg49:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg48:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg48 7 va_arg49 va_arg50)
(let (va_arg47:Prims.int) = n `op_Division` 16 in let (va_arg46:Prims.int) = r1 in let
(va_arg45:Prims.int) = n in let (va_arg44:Prims.int) = va_get_reg64 rR14 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 211 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg44 va_arg45 va_arg46
va_arg47) (let (va_arg43:Prims.int) = n `op_Division` 16 in let (va_arg42:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg41:Prims.int) = n in let (va_arg40:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg40 va_arg41 va_arg42
va_arg43) (let (va_arg39:Prims.int) = n `op_Division` 8 in let (va_arg38:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg37:Prims.int) = n in let (va_arg36:Prims.int) =
va_get_reg64 rRbp va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg36 va_arg37 va_arg38
va_arg39) (let (va_arg35:Prims.int) = n `op_Division` 16 in let (va_arg34:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg33:Prims.int) = n in let (va_arg32:Prims.int) =
va_get_reg64 rR14 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg32 va_arg33 va_arg34
va_arg35) (let (va_arg31:Prims.int) = n `op_Division` 8 in let (va_arg30:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg29:Prims.int) = n in let (va_arg28:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg28 va_arg29 va_arg30
va_arg31) (let (va_arg27:Prims.int) = 5 `op_Multiply` n `op_Division` 64 in let
(va_arg26:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg25:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg25 7 va_arg26 va_arg27)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 218 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_multiply r1) (fun (va_s:va_state) (hd:int) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_reduce ()) (fun (va_s:va_state) (hh:int) -> va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 220 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 221 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(l_and (hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_s) + va_mul_nat n (va_get_reg64
rRbx va_s) + va_get_reg64 rR14 va_s) (va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p))
(va_QEmpty ((hh))))))))))))))) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 34,
"end_line": 538,
"start_col": 0,
"start_line": 483
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce)
//--
//-- Poly1305_iteration
val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_iteration () =
(va_Block (va_CCons (va_code_Poly1305_multiply ()) (va_CCons (va_code_Poly1305_reduce ())
(va_CNil ()))))
val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_iteration () =
(va_pbool_and (va_codegen_success_Poly1305_multiply ()) (va_pbool_and
(va_codegen_success_Poly1305_reduce ()) (va_ttrue ()))) | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_mods: Vale.X64.QuickCode.va_mods_t -> r1: Vale.X64.Memory.nat64
-> Vale.X64.QuickCode.va_quickCode Prims.int (Vale.Poly1305.X64.va_code_Poly1305_iteration ()) | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.QuickCode.va_mods_t",
"Vale.X64.Memory.nat64",
"Vale.X64.QuickCodes.qblock",
"Prims.int",
"Prims.Cons",
"Vale.X64.Decls.va_code",
"Vale.Poly1305.X64.va_code_Poly1305_multiply",
"Vale.Poly1305.X64.va_code_Poly1305_reduce",
"Prims.Nil",
"Vale.X64.Machine_s.precode",
"Vale.X64.Decls.ins",
"Vale.X64.Decls.ocmp",
"Vale.X64.Decls.va_state",
"Vale.X64.QuickCodes.va_qPURE",
"Prims.pure_post",
"Prims.unit",
"Prims.l_and",
"Prims.b2t",
"Prims.op_LessThanOrEqual",
"Prims.op_LessThan",
"Prims.l_Forall",
"Prims.l_imp",
"Prims.op_Multiply",
"Vale.X64.QuickCodes.va_range1",
"Vale.Poly1305.Math.lemma_mul_strict_upper_bound",
"Vale.X64.QuickCodes.va_QBind",
"Vale.Poly1305.X64.va_quick_Poly1305_multiply",
"Vale.Poly1305.X64.va_quick_Poly1305_reduce",
"Vale.X64.QuickCodes.va_QLemma",
"Prims.squash",
"Vale.X64.Decls.va_reveal_eq",
"Vale.Poly1305.Spec_s.modp",
"Vale.X64.Decls.va_reveal_opaque",
"Vale.X64.QuickCodes.va_qAssert",
"Prims.eq2",
"Prims.op_Addition",
"Vale.X64.Decls.va_mul_nat",
"Vale.X64.Decls.va_get_reg64",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rR14",
"Prims.op_Modulus",
"Vale.X64.QuickCodes.va_QEmpty",
"Vale.X64.QuickCodes.quickCodes",
"Vale.X64.Machine_s.rR13",
"Prims.op_Division",
"Vale.X64.Machine_s.rR11",
"Vale.X64.Decls.va_int_range",
"Prims.op_Subtraction",
"Vale.X64.State.vale_state",
"Vale.X64.QuickCode.va_quickCode",
"Vale.Poly1305.X64.va_code_Poly1305_iteration"
] | [] | false | false | false | false | false | let va_qcode_Poly1305_iteration (va_mods: va_mods_t) (r1: nat64)
: (va_quickCode (int) (va_code_Poly1305_iteration ())) =
| (qblock va_mods
(fun (va_s: va_state) ->
let va_old_s:va_state = va_s in
let n:(va_int_range 18446744073709551616 18446744073709551616) = 18446744073709551616 in
let p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) =
(va_mul_nat n n) `op_Multiply` 4 - 5
in
let r:(va_int_range 0 340282366920938463463374607431768211455) =
va_mul_nat r1 n + va_get_reg64 rR11 va_s
in
let h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895) =
va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat n n) +
va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s
in
let va_arg50:Prims.int = n `op_Division` 16 in
let va_arg49:Prims.int = va_get_reg64 rR11 va_s in
let va_arg48:Prims.int = va_get_reg64 rRbp va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_: unit) ->
Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg48 7 va_arg49 va_arg50)
(let va_arg47:Prims.int = n `op_Division` 16 in
let va_arg46:Prims.int = r1 in
let va_arg45:Prims.int = n in
let va_arg44:Prims.int = va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_: unit) ->
Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg44
va_arg45
va_arg46
va_arg47)
(let va_arg43:Prims.int = n `op_Division` 16 in
let va_arg42:Prims.int = va_get_reg64 rR11 va_s in
let va_arg41:Prims.int = n in
let va_arg40:Prims.int = va_get_reg64 rRbx va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_: unit) ->
Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg40
va_arg41
va_arg42
va_arg43)
(let va_arg39:Prims.int = n `op_Division` 8 in
let va_arg38:Prims.int = va_get_reg64 rR13 va_s in
let va_arg37:Prims.int = n in
let va_arg36:Prims.int = va_get_reg64 rRbp va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_: unit) ->
Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg36
va_arg37
va_arg38
va_arg39)
(let va_arg35:Prims.int = n `op_Division` 16 in
let va_arg34:Prims.int = va_get_reg64 rR11 va_s in
let va_arg33:Prims.int = n in
let va_arg32:Prims.int = va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_: unit) ->
Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg32
va_arg33
va_arg34
va_arg35)
(let va_arg31:Prims.int = n `op_Division` 8 in
let va_arg30:Prims.int = va_get_reg64 rR13 va_s in
let va_arg29:Prims.int = n in
let va_arg28:Prims.int = va_get_reg64 rRbx va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_: unit) ->
Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg28
va_arg29
va_arg30
va_arg31)
(let va_arg27:Prims.int = (5 `op_Multiply` n) `op_Division` 64 in
let va_arg26:Prims.int = va_get_reg64 rR13 va_s in
let va_arg25:Prims.int = va_get_reg64 rRbp va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_: unit) ->
Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg25
7
va_arg26
va_arg27)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 218 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_multiply r1)
(fun (va_s: va_state) (hd: int) ->
va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_reduce ())
(fun (va_s: va_state) (hh: int) ->
va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 220 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true
(fun _ -> va_reveal_eq (`%modp) modp modp)
(fun _ -> va_reveal_opaque (`%modp) modp)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 221 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(l_and (hh ==
va_mul_nat (va_mul_nat n n)
(va_get_reg64 rRbp va_s) +
va_mul_nat n (va_get_reg64 rRbx va_s) +
va_get_reg64 rR14 va_s)
((va_mul_nat h r)
`op_Modulus`
p ==
hh
`op_Modulus`
p))
(va_QEmpty ((hh))))))))))))))) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_wp_Poly1305_blocks | val va_wp_Poly1305_blocks
(r h_in: int)
(ctx_b inp_b: buffer64)
(va_s0: va_state)
(va_k: (va_state -> int -> Type0))
: Type0 | val va_wp_Poly1305_blocks
(r h_in: int)
(ctx_b inp_b: buffer64)
(va_s0: va_state)
(va_k: (va_state -> int -> Type0))
: Type0 | let va_wp_Poly1305_blocks (r:int) (h_in:int) (ctx_b:buffer64) (inp_b:buffer64) (va_s0:va_state)
(va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64
rRdx va_s0 `op_Modulus` 16 == 0 /\ va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 < pow2_64
/\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) ctx_b
24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0
va_s0) (va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8)
(va_get_mem_layout va_s0) Public /\ (let h0_in = Vale.X64.Decls.buffer64_read ctx_b 0
(va_get_mem_heaplet 1 va_s0) in let h1_in = Vale.X64.Decls.buffer64_read ctx_b 1
(va_get_mem_heaplet 1 va_s0) in let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2
(va_get_mem_heaplet 1 va_s0) in let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3
(va_get_mem_heaplet 1 va_s0) in let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4
(va_get_mem_heaplet 1 va_s0) in h_in == va_mul_nat h2_in (va_mul_nat n n) + va_mul_nat h1_in n
+ h0_in /\ r == va_mul_nat r1_in n + r0_in /\ r0_in < n `op_Division` 16 /\ r1_in < n
`op_Division` 16 /\ r1_in `op_Modulus` 4 == 0 /\ h2_in < 5 /\ va_get_reg64 rRcx va_s0 < 2)) /\
(forall (va_x_mem:vale_heap) (va_x_rsi:nat64) (va_x_rdx:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_r10:nat64) (va_x_r11:nat64) (va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64)
(va_x_rbx:nat64) (va_x_rbp:nat64) (va_x_rax:nat64) (va_x_r15:nat64) (va_x_efl:Vale.X64.Flags.t)
(va_x_heap1:vale_heap) (h:int) . let va_sM = va_upd_mem_heaplet 1 va_x_heap1 (va_upd_flags
va_x_efl (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRbp va_x_rbp
(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_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRsi va_x_rsi (va_upd_mem va_x_mem va_s0))))))))))))))) in va_get_ok va_sM /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64 rRbp va_sM < 5 /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) ctx_b 24
(va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM)
(va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout
va_sM) Public /\ Vale.X64.Decls.modifies_buffer_specific ctx_b (va_get_mem_heaplet 1 va_s0)
(va_get_mem_heaplet 1 va_sM) 0 2 /\ va_get_reg64 rR14 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 0 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbx va_sM == Vale.X64.Decls.buffer64_read
ctx_b 1 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbp va_sM == Vale.X64.Decls.buffer64_read
ctx_b 2 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 3 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR12 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 4 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM +
va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 +
va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0 /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_s0 /\ (let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3
(va_get_mem_heaplet 1 va_sM) in let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4
(va_get_mem_heaplet 1 va_sM) in h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64
pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0
`op_Division` 8))) ==> va_k va_sM ((h)))) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 45,
"end_line": 1623,
"start_col": 0,
"start_line": 1575
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce)
//--
//-- Poly1305_iteration
val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_iteration () =
(va_Block (va_CCons (va_code_Poly1305_multiply ()) (va_CCons (va_code_Poly1305_reduce ())
(va_CNil ()))))
val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_iteration () =
(va_pbool_and (va_codegen_success_Poly1305_multiply ()) (va_pbool_and
(va_codegen_success_Poly1305_reduce ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_iteration (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_iteration ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in let (va_arg50:Prims.int) = n `op_Division` 16 in let
(va_arg49:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg48:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg48 7 va_arg49 va_arg50)
(let (va_arg47:Prims.int) = n `op_Division` 16 in let (va_arg46:Prims.int) = r1 in let
(va_arg45:Prims.int) = n in let (va_arg44:Prims.int) = va_get_reg64 rR14 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 211 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg44 va_arg45 va_arg46
va_arg47) (let (va_arg43:Prims.int) = n `op_Division` 16 in let (va_arg42:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg41:Prims.int) = n in let (va_arg40:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg40 va_arg41 va_arg42
va_arg43) (let (va_arg39:Prims.int) = n `op_Division` 8 in let (va_arg38:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg37:Prims.int) = n in let (va_arg36:Prims.int) =
va_get_reg64 rRbp va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg36 va_arg37 va_arg38
va_arg39) (let (va_arg35:Prims.int) = n `op_Division` 16 in let (va_arg34:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg33:Prims.int) = n in let (va_arg32:Prims.int) =
va_get_reg64 rR14 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg32 va_arg33 va_arg34
va_arg35) (let (va_arg31:Prims.int) = n `op_Division` 8 in let (va_arg30:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg29:Prims.int) = n in let (va_arg28:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg28 va_arg29 va_arg30
va_arg31) (let (va_arg27:Prims.int) = 5 `op_Multiply` n `op_Division` 64 in let
(va_arg26:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg25:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg25 7 va_arg26 va_arg27)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 218 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_multiply r1) (fun (va_s:va_state) (hd:int) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_reduce ()) (fun (va_s:va_state) (hh:int) -> va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 220 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 221 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(l_and (hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_s) + va_mul_nat n (va_get_reg64
rRbx va_s) + va_get_reg64 rR14 va_s) (va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p))
(va_QEmpty ((hh)))))))))))))))
val va_lemma_Poly1305_iteration : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_iteration ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp (va_mul_nat h r) ==
Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_iteration va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_iteration va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_iteration ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 180 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 201 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp (va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_iteration (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1) /\ (forall (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp
(va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_iteration : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_iteration r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_iteration ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_iteration r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_iteration (va_code_Poly1305_iteration ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_iteration (r1:nat64) : (va_quickCode int (va_code_Poly1305_iteration ())) =
(va_QProc (va_code_Poly1305_iteration ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRax]) (va_wp_Poly1305_iteration r1) (va_wpProof_Poly1305_iteration r1))
//--
//-- Poly1305_blocks_body0
val va_code_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_body0 () =
(va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Public))
(va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_CCons
(va_code_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (va_CCons
(va_code_Poly1305_iteration ()) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64
1)) (va_CNil ())))))))))))
val va_codegen_success_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_body0 () =
(va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0)
(va_op_reg64_reg64 rRsi) 0 Public)) (va_pbool_and (va_codegen_success_Mem64_lemma ())
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64
(va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_pbool_and
(va_codegen_success_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi)
(va_const_opr64 16)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Poly1305_iteration ())
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1))
(va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_body0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in let (nn:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (hp:int) = h in let (h:int) = h +
va_mul_nat (va_mul_nat nn nn) (va_get_reg64 rRcx va_s) + va_mul_nat nn
(Vale.X64.Decls.buffer64_read inp_b (word_index + 1) (va_get_mem_heaplet 0 va_s)) +
Vale.X64.Decls.buffer64_read inp_b word_index (va_get_mem_heaplet 0 va_s) in let (hq:int) = h
in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inp_b word_index
Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 0 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inp_b
(word_index + 1) Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 355 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 356 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state)
_ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 358 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hq == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat nn nn) + va_mul_nat (va_get_reg64 rRbx
va_s) nn + va_get_reg64 rR14 va_s) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 360 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration (va_get_reg64 rR12 va_s)) (fun (va_s:va_state) (h:int) -> va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 362 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 363 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1)) (fun (va_s:va_state) _ -> let
(word_index:nat) = word_index + 2 in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 366 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index) (let
(va_arg50:Prims.int) = word_index in let (va_arg49:(FStar.Seq.Base.seq Vale.X64.Memory.nat64))
= Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b in let (va_arg48:Prims.int)
= r in let (va_arg47:Prims.int) = va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let
(va_arg46:Prims.int) = Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 368 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg46 va_arg47 va_arg48
va_arg49 va_arg50) (let (va_arg45:Prims.int) = word_index - 2 in let
(va_arg44:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg43:Prims.int) = r in let (va_arg42:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let (va_arg41:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 369 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg41 va_arg42 va_arg43
va_arg44 va_arg45) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 370 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:Prims.int) = r in let (va_arg39:Prims.int) = hq - hp in let (va_arg38:Prims.int) = hp
in let (va_arg37:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg37 va_arg38 va_arg39 va_arg40)
(va_QEmpty (())))))) (va_QEmpty ((h, word_index)))))))))))))))
val va_lemma_Poly1305_blocks_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old /\ va_get_reg64 rR15 va_s0 =!= 0))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15
va_s0) /\ va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_body0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_body0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_body0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 345 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
va_get_reg64 rR15 va_s0 =!= 0 /\ (forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_rax:nat64) (va_x_rbp:nat64) (va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int)
(word_index:nat) . let va_sM = va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64
rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10 (va_upd_ok va_x_ok (va_upd_flags va_x_efl
va_s0))))))))))) in va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n ==
va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\
va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h ==
va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64
rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12
va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64
rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM ==
va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM
== va_get_reg64 rRsi va_old + va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64
/\ va_in_length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8
`op_Multiply` (word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8
`op_Multiply` word_index == va_in_length /\ va_get_reg64 rRsi va_sM + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) +
8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_sM < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM)
(va_get_reg64 rRdi va_sM) va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old /\
precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_body0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int ->
va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_body0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_body0 (va_code_Poly1305_blocks_body0
()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r
va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_body0 ())) =
(va_QProc (va_code_Poly1305_blocks_body0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64
rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks_while0
val va_code_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_while0 () =
(va_Block (va_CCons (va_While (va_cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (va_Block
(va_CCons (va_code_Poly1305_blocks_body0 ()) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_while0 () =
(va_pbool_and (va_codegen_success_Poly1305_blocks_body0 ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_while0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_qWhile va_mods (Cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (fun va_g -> let (h:int) =
let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g in
word_index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_body0 va_old ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QEmpty ((h, word_index))))) (fun
(va_s:va_state) va_g -> let (h:int) = let (h, word_index) = va_g in h in let (word_index:nat) =
let (h, word_index) = va_g in word_index in va_get_ok va_s /\ n == pow2_64 /\ va_mul_nat n n ==
va_mul_nat pow2_64 pow2_64 /\ p == va_mul_nat n n `op_Multiply` 4 - 5 /\ r == va_mul_nat
(va_get_reg64 rR12 va_s) n + va_get_reg64 rR11 va_s /\ h == va_mul_nat (va_get_reg64 rRbp va_s)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s) pow2_64 + va_get_reg64 rR14
va_s /\ va_get_reg64 rR11 va_s < n `op_Division` 16 /\ va_get_reg64 rR12 va_s < n `op_Division`
16 /\ va_get_reg64 rR12 va_s `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s == va_get_reg64 rR12
va_s + va_get_reg64 rR12 va_s `op_Division` 4 /\ va_get_reg64 rRbp va_s < 5 /\ va_get_reg64
rRax va_s == va_get_reg64 rR12 va_s /\ va_get_reg64 rRsi va_s + 16 `op_Multiply` va_get_reg64
rR15 va_s == va_get_reg64 rRsi va_old + length /\ va_get_reg64 rRsi va_old + length < pow2_64
/\ length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s =!= 0 ==> 8 `op_Multiply`
(word_index + 1) <= length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s + 8 `op_Multiply`
word_index == length /\ va_get_reg64 rRsi va_s + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 inp_b (va_get_mem_heaplet 0 va_s) + 8 `op_Multiply` word_index /\
va_get_reg64 rR15 va_s `op_Multiply` 16 <= length /\ va_get_reg64 rRcx va_s < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s) (va_get_reg64 rRdi va_s) ctx_b 24
(va_get_mem_layout va_s) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s)
(va_get_reg64 rRsi va_old) inp_b (length `op_Division` 8) (va_get_mem_layout va_s) Public /\
va_get_reg64 rRdi va_s == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s == va_get_reg64
rRcx va_old /\ (va_get_reg64 rRsi va_s - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index /\
va_get_mem_heaplet 1 va_s == va_get_mem_heaplet 1 va_old) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in va_get_reg64 rR15 va_s) ((h, word_index))) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in let va_g = (h, word_index) in let ((h:int), (word_index:nat)) = va_g in
va_QEmpty ((h, word_index)))))
val va_lemma_Poly1305_blocks_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_while0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) /\ va_state_eq va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_while0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_while0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_while0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(~(va_get_reg64 rR15 va_sM =!= 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
(forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r14:nat64)
(va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_rax:nat64) (va_x_rbp:nat64)
(va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int) (word_index:nat) . let va_sM =
va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_ok va_x_ok (va_upd_flags va_x_efl va_s0))))))))))) in va_get_ok va_sM /\ va_in_n ==
pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat
va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n
+ va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64
pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\
va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM ==
va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM <
5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16
`op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ 16
`op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length /\
va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b
(va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM
`op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_while0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int
-> va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_while0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length
va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_while0
(va_code_Poly1305_blocks_while0 ()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_while0 ())) =
(va_QProc (va_code_Poly1305_blocks_while0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx;
va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks
val va_code_Poly1305_blocks : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks () =
(va_Block (va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi) 24 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRdi) 32
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rR14) (va_op_reg_opr64_reg64 rRdi) 0 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRdi) 8
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rRbp) (va_op_reg_opr64_reg64 rRdi) 16 Public) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rR12) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rR13)
(va_const_shift_amt64 2)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rR13)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Poly1305_blocks_while0 ()) (va_CCons
(va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR14) 0 Public) (va_CCons (va_code_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRbx) 8
Public) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64
rRdi) (va_op_reg_opr64_reg64 rRbp) 16 Public) (va_CNil ())))))))))))))))))
val va_codegen_success_Poly1305_blocks : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks () =
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx))
(va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdi) 24 Public) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13)
(va_op_reg_opr64_reg64 rRdi) 32 Public) (va_pbool_and (va_codegen_success_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR14) (va_op_reg_opr64_reg64 rRdi) 0
Public) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRdi) 8 Public) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbp)
(va_op_reg_opr64_reg64 rRdi) 16 Public) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Shr64
(va_op_dst_opr64_reg64 rR13) (va_const_shift_amt64 2)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_pbool_and (va_codegen_success_Add64
(va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rR12)) (va_pbool_and
(va_codegen_success_Poly1305_blocks_while0 ()) (va_pbool_and (va_codegen_success_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR14) 0
Public) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRbx) 8 Public) (va_pbool_and
(va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbp) 16 Public) (va_ttrue ()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks (va_mods:va_mods_t) (r:int) (h_in:int) (ctx_b:buffer64)
(inp_b:buffer64) : (va_quickCode (int) (va_code_Poly1305_blocks ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 285 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (let (length:int) = va_get_reg64 rRdx
va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 289 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 292 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 294 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi) 24 Public ctx_b 3) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 295 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13)
(va_op_reg_opr64_reg64 rRdi) 32 Public ctx_b 4) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 297 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR14)
(va_op_reg_opr64_reg64 rRdi) 0 Public ctx_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 298 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbx)
(va_op_reg_opr64_reg64 rRdi) 8 Public ctx_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 299 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbp)
(va_op_reg_opr64_reg64 rRdi) 16 Public ctx_b 2) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 301 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR13) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 303 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 304 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rR12)) (fun (va_s:va_state) _
-> let (h:int) = h_in in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 307 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) 0) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 309 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg39:Prims.int) = r in let (va_arg38:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n) in let (va_arg37:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 310 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg37 va_arg38 va_arg39
va_arg40 0) (va_QEmpty (())))) (let (word_index:nat) = 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 315 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_while0 va_old_s ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 374 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR14) 0 Public ctx_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 375 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbx) 8 Public ctx_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 376 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbp) 16 Public ctx_b 2) (va_QEmpty ((h)))))))))))))))))))))
val va_lemma_Poly1305_blocks : va_b0:va_code -> va_s0:va_state -> r:int -> h_in:int ->
ctx_b:buffer64 -> inp_b:buffer64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64 rRdx va_s0 `op_Modulus` 16 == 0 /\
va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 < pow2_64 /\ Vale.X64.Decls.validDstAddrs64
(va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) ctx_b 24 (va_get_mem_layout va_s0)
Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0)
inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout va_s0) Public /\ (let h0_in
= Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_s0) in let h1_in =
Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_s0) in let h2_in =
Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_s0) in let r0_in =
Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_s0) in let r1_in =
Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_s0) in h_in == va_mul_nat h2_in
(va_mul_nat n n) + va_mul_nat h1_in n + h0_in /\ r == va_mul_nat r1_in n + r0_in /\ r0_in < n
`op_Division` 16 /\ r1_in < n `op_Division` 16 /\ r1_in `op_Modulus` 4 == 0 /\ h2_in < 5 /\
va_get_reg64 rRcx va_s0 < 2))))
(ensures (fun (va_sM, va_fM, h) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64
rRbp va_sM < 5 /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64
rRdi va_sM) ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0
`op_Division` 8) (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.modifies_buffer_specific
ctx_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM) 0 2 /\ va_get_reg64 rR14 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbx va_sM
== Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbp va_sM
== Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR11 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR12 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR13 va_sM
== va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRsi va_sM
== va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRcx va_sM == va_get_reg64
rRcx va_s0 /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 /\ (let r0_in =
Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) in let r1_in =
Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) in h == va_mul_nat
(va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM)
pow2_64 + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0 `op_Division` 8))) /\ va_state_eq
va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rRax va_sM (va_update_reg64 rRbp 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_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx 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_Poly1305_blocks va_b0 va_s0 r h_in ctx_b inp_b =
let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64
rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rRdx; va_Mod_reg64 rRsi; va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_Poly1305_blocks va_mods r h_in ctx_b inp_b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let h = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in label
va_range1
"***** POSTCONDITION NOT MET AT line 264 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 265 column 66 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) ctx_b 24
(va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 266 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_s0) inp_b
(va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 267 column 65 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific ctx_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet
1 va_sM) 0 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 268 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR14 va_sM == Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 269 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 270 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM == Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 271 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 272 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM == Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 273 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 274 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 277 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 278 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 280 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) in label
va_range1
"***** POSTCONDITION NOT MET AT line 281 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) in label
va_range1
"***** POSTCONDITION NOT MET AT line 282 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 283 column 118 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0
`op_Division` 8)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_ok; va_Mod_mem]) va_sM va_s0;
let h = va_g in
(va_sM, va_fM, h) | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
r: Prims.int ->
h_in: Prims.int ->
ctx_b: Vale.X64.Memory.buffer64 ->
inp_b: Vale.X64.Memory.buffer64 ->
va_s0: Vale.X64.Decls.va_state ->
va_k: (_: Vale.X64.Decls.va_state -> _: Prims.int -> Type0)
-> Type0 | Prims.Tot | [
"total"
] | [] | [
"Prims.int",
"Vale.X64.Memory.buffer64",
"Vale.X64.Decls.va_state",
"Prims.l_and",
"Prims.b2t",
"Vale.X64.Decls.va_get_ok",
"Prims.eq2",
"Prims.op_Modulus",
"Vale.X64.Decls.va_get_reg64",
"Vale.X64.Machine_s.rRdx",
"Prims.op_LessThan",
"Prims.op_Addition",
"Vale.X64.Machine_s.rRsi",
"Vale.X64.Machine_s.pow2_64",
"Vale.X64.Decls.validDstAddrs64",
"Vale.X64.Decls.va_get_mem_heaplet",
"Vale.X64.Machine_s.rRdi",
"Vale.X64.Decls.va_get_mem_layout",
"Vale.Arch.HeapTypes_s.Public",
"Vale.X64.Decls.validSrcAddrs64",
"Prims.op_Division",
"Vale.X64.Decls.va_mul_nat",
"Vale.X64.Machine_s.rRcx",
"Vale.Def.Words_s.nat64",
"Vale.X64.Decls.buffer64_read",
"Vale.X64.Decls.va_int_range",
"Prims.op_Subtraction",
"Prims.op_Multiply",
"Prims.l_Forall",
"Vale.X64.InsBasic.vale_heap",
"Vale.X64.Memory.nat64",
"Vale.X64.Flags.t",
"Prims.l_imp",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.Decls.modifies_buffer_specific",
"Vale.Def.Types_s.nat64",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rR11",
"Vale.X64.Machine_s.rR12",
"Vale.X64.Machine_s.rR13",
"Vale.Poly1305.Spec_s.modp",
"Vale.Poly1305.Util.poly1305_heap_blocks",
"Vale.X64.Decls.buffer64_as_seq",
"Vale.X64.State.vale_state",
"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.rRax",
"Vale.X64.Machine_s.rR10",
"Vale.X64.Machine_s.rR9",
"Vale.X64.Machine_s.rR8",
"Vale.X64.Decls.va_upd_mem"
] | [] | false | false | false | true | true | let va_wp_Poly1305_blocks
(r h_in: int)
(ctx_b inp_b: buffer64)
(va_s0: va_state)
(va_k: (va_state -> int -> Type0))
: Type0 =
| (va_get_ok va_s0 /\
(let n:(va_int_range 18446744073709551616 18446744073709551616) = pow2_64 in
let p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) =
(va_mul_nat n n) `op_Multiply` 4 - 5
in
(va_get_reg64 rRdx va_s0) `op_Modulus` 16 == 0 /\
va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 < pow2_64 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0)
ctx_b
24
(va_get_mem_layout va_s0)
Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0)
(va_get_reg64 rRsi va_s0)
inp_b
((va_get_reg64 rRdx va_s0) `op_Division` 8)
(va_get_mem_layout va_s0)
Public /\
(let h0_in = Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_s0) in
let h1_in = Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_s0) in
let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_s0) in
let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_s0) in
let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_s0) in
h_in == va_mul_nat h2_in (va_mul_nat n n) + va_mul_nat h1_in n + h0_in /\
r == va_mul_nat r1_in n + r0_in /\ r0_in < n `op_Division` 16 /\ r1_in < n `op_Division` 16 /\
r1_in `op_Modulus` 4 == 0 /\ h2_in < 5 /\ va_get_reg64 rRcx va_s0 < 2)) /\
(forall (va_x_mem: vale_heap) (va_x_rsi: nat64) (va_x_rdx: nat64) (va_x_r8: nat64)
(va_x_r9: nat64) (va_x_r10: nat64) (va_x_r11: nat64) (va_x_r12: nat64) (va_x_r13: nat64)
(va_x_r14: nat64) (va_x_rbx: nat64) (va_x_rbp: nat64) (va_x_rax: nat64) (va_x_r15: nat64)
(va_x_efl: Vale.X64.Flags.t) (va_x_heap1: vale_heap) (h: int).
let va_sM =
va_upd_mem_heaplet 1
va_x_heap1
(va_upd_flags va_x_efl
(va_upd_reg64 rR15
va_x_r15
(va_upd_reg64 rRax
va_x_rax
(va_upd_reg64 rRbp
va_x_rbp
(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_reg64 rR10
va_x_r10
(va_upd_reg64 rR9
va_x_r9
(va_upd_reg64 rR8
va_x_r8
(va_upd_reg64 rRdx
va_x_rdx
(va_upd_reg64 rRsi
va_x_rsi
(va_upd_mem va_x_mem va_s0))))))))
)))))))
in
va_get_ok va_sM /\
(let n:(va_int_range 18446744073709551616 18446744073709551616) = pow2_64 in
let p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) =
(va_mul_nat n n) `op_Multiply` 4 - 5
in
va_get_reg64 rRbp va_sM < 5 /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM)
(va_get_reg64 rRdi va_sM)
ctx_b
24
(va_get_mem_layout va_sM)
Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM)
(va_get_reg64 rRsi va_s0)
inp_b
((va_get_reg64 rRdx va_s0) `op_Division` 8)
(va_get_mem_layout va_sM)
Public /\
Vale.X64.Decls.modifies_buffer_specific ctx_b
(va_get_mem_heaplet 1 va_s0)
(va_get_mem_heaplet 1 va_sM)
0
2 /\
va_get_reg64 rR14 va_sM == Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_sM) /\
va_get_reg64 rRbx va_sM == Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_sM) /\
va_get_reg64 rRbp va_sM == Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_sM) /\
va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) /\
va_get_reg64 rR12 va_sM == Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) /\
va_get_reg64 rR13 va_sM ==
va_get_reg64 rR12 va_sM + (va_get_reg64 rR12 va_sM) `op_Division` 4 /\
va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0 /\
va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 /\
(let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) in
let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) in
h ==
va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) +
va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\
Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp h_in)
(va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat n n))
r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM) inp_b)
((va_get_reg64 rRdx va_s0) `op_Division` 8))) ==>
va_k va_sM ((h)))) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_code_Poly1305_reduce_last | val va_code_Poly1305_reduce_last : va_dummy:unit -> Tot va_code | val va_code_Poly1305_reduce_last : va_dummy:unit -> Tot va_code | let va_code_Poly1305_reduce_last () =
(va_Block (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rR14))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_const_opr64 5)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Shr64
(va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Sub64Wrap
(va_op_dst_opr64_reg64 rRax) (va_const_opr64 1)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Sub64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Add64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Add64
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_CNil ()))))))))))))))))))) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 88,
"end_line": 2046,
"start_col": 0,
"start_line": 2029
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce)
//--
//-- Poly1305_iteration
val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_iteration () =
(va_Block (va_CCons (va_code_Poly1305_multiply ()) (va_CCons (va_code_Poly1305_reduce ())
(va_CNil ()))))
val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_iteration () =
(va_pbool_and (va_codegen_success_Poly1305_multiply ()) (va_pbool_and
(va_codegen_success_Poly1305_reduce ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_iteration (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_iteration ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in let (va_arg50:Prims.int) = n `op_Division` 16 in let
(va_arg49:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg48:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg48 7 va_arg49 va_arg50)
(let (va_arg47:Prims.int) = n `op_Division` 16 in let (va_arg46:Prims.int) = r1 in let
(va_arg45:Prims.int) = n in let (va_arg44:Prims.int) = va_get_reg64 rR14 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 211 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg44 va_arg45 va_arg46
va_arg47) (let (va_arg43:Prims.int) = n `op_Division` 16 in let (va_arg42:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg41:Prims.int) = n in let (va_arg40:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg40 va_arg41 va_arg42
va_arg43) (let (va_arg39:Prims.int) = n `op_Division` 8 in let (va_arg38:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg37:Prims.int) = n in let (va_arg36:Prims.int) =
va_get_reg64 rRbp va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg36 va_arg37 va_arg38
va_arg39) (let (va_arg35:Prims.int) = n `op_Division` 16 in let (va_arg34:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg33:Prims.int) = n in let (va_arg32:Prims.int) =
va_get_reg64 rR14 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg32 va_arg33 va_arg34
va_arg35) (let (va_arg31:Prims.int) = n `op_Division` 8 in let (va_arg30:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg29:Prims.int) = n in let (va_arg28:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg28 va_arg29 va_arg30
va_arg31) (let (va_arg27:Prims.int) = 5 `op_Multiply` n `op_Division` 64 in let
(va_arg26:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg25:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg25 7 va_arg26 va_arg27)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 218 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_multiply r1) (fun (va_s:va_state) (hd:int) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_reduce ()) (fun (va_s:va_state) (hh:int) -> va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 220 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 221 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(l_and (hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_s) + va_mul_nat n (va_get_reg64
rRbx va_s) + va_get_reg64 rR14 va_s) (va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p))
(va_QEmpty ((hh)))))))))))))))
val va_lemma_Poly1305_iteration : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_iteration ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp (va_mul_nat h r) ==
Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_iteration va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_iteration va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_iteration ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 180 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 201 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp (va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_iteration (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1) /\ (forall (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp
(va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_iteration : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_iteration r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_iteration ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_iteration r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_iteration (va_code_Poly1305_iteration ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_iteration (r1:nat64) : (va_quickCode int (va_code_Poly1305_iteration ())) =
(va_QProc (va_code_Poly1305_iteration ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRax]) (va_wp_Poly1305_iteration r1) (va_wpProof_Poly1305_iteration r1))
//--
//-- Poly1305_blocks_body0
val va_code_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_body0 () =
(va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Public))
(va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_CCons
(va_code_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (va_CCons
(va_code_Poly1305_iteration ()) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64
1)) (va_CNil ())))))))))))
val va_codegen_success_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_body0 () =
(va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0)
(va_op_reg64_reg64 rRsi) 0 Public)) (va_pbool_and (va_codegen_success_Mem64_lemma ())
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64
(va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_pbool_and
(va_codegen_success_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi)
(va_const_opr64 16)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Poly1305_iteration ())
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1))
(va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_body0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in let (nn:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (hp:int) = h in let (h:int) = h +
va_mul_nat (va_mul_nat nn nn) (va_get_reg64 rRcx va_s) + va_mul_nat nn
(Vale.X64.Decls.buffer64_read inp_b (word_index + 1) (va_get_mem_heaplet 0 va_s)) +
Vale.X64.Decls.buffer64_read inp_b word_index (va_get_mem_heaplet 0 va_s) in let (hq:int) = h
in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inp_b word_index
Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 0 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inp_b
(word_index + 1) Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 355 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 356 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state)
_ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 358 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hq == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat nn nn) + va_mul_nat (va_get_reg64 rRbx
va_s) nn + va_get_reg64 rR14 va_s) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 360 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration (va_get_reg64 rR12 va_s)) (fun (va_s:va_state) (h:int) -> va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 362 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 363 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1)) (fun (va_s:va_state) _ -> let
(word_index:nat) = word_index + 2 in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 366 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index) (let
(va_arg50:Prims.int) = word_index in let (va_arg49:(FStar.Seq.Base.seq Vale.X64.Memory.nat64))
= Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b in let (va_arg48:Prims.int)
= r in let (va_arg47:Prims.int) = va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let
(va_arg46:Prims.int) = Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 368 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg46 va_arg47 va_arg48
va_arg49 va_arg50) (let (va_arg45:Prims.int) = word_index - 2 in let
(va_arg44:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg43:Prims.int) = r in let (va_arg42:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let (va_arg41:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 369 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg41 va_arg42 va_arg43
va_arg44 va_arg45) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 370 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:Prims.int) = r in let (va_arg39:Prims.int) = hq - hp in let (va_arg38:Prims.int) = hp
in let (va_arg37:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg37 va_arg38 va_arg39 va_arg40)
(va_QEmpty (())))))) (va_QEmpty ((h, word_index)))))))))))))))
val va_lemma_Poly1305_blocks_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old /\ va_get_reg64 rR15 va_s0 =!= 0))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15
va_s0) /\ va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_body0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_body0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_body0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 345 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
va_get_reg64 rR15 va_s0 =!= 0 /\ (forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_rax:nat64) (va_x_rbp:nat64) (va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int)
(word_index:nat) . let va_sM = va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64
rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10 (va_upd_ok va_x_ok (va_upd_flags va_x_efl
va_s0))))))))))) in va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n ==
va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\
va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h ==
va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64
rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12
va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64
rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM ==
va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM
== va_get_reg64 rRsi va_old + va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64
/\ va_in_length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8
`op_Multiply` (word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8
`op_Multiply` word_index == va_in_length /\ va_get_reg64 rRsi va_sM + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) +
8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_sM < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM)
(va_get_reg64 rRdi va_sM) va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old /\
precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_body0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int ->
va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_body0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_body0 (va_code_Poly1305_blocks_body0
()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r
va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_body0 ())) =
(va_QProc (va_code_Poly1305_blocks_body0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64
rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks_while0
val va_code_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_while0 () =
(va_Block (va_CCons (va_While (va_cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (va_Block
(va_CCons (va_code_Poly1305_blocks_body0 ()) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_while0 () =
(va_pbool_and (va_codegen_success_Poly1305_blocks_body0 ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_while0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_qWhile va_mods (Cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (fun va_g -> let (h:int) =
let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g in
word_index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_body0 va_old ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QEmpty ((h, word_index))))) (fun
(va_s:va_state) va_g -> let (h:int) = let (h, word_index) = va_g in h in let (word_index:nat) =
let (h, word_index) = va_g in word_index in va_get_ok va_s /\ n == pow2_64 /\ va_mul_nat n n ==
va_mul_nat pow2_64 pow2_64 /\ p == va_mul_nat n n `op_Multiply` 4 - 5 /\ r == va_mul_nat
(va_get_reg64 rR12 va_s) n + va_get_reg64 rR11 va_s /\ h == va_mul_nat (va_get_reg64 rRbp va_s)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s) pow2_64 + va_get_reg64 rR14
va_s /\ va_get_reg64 rR11 va_s < n `op_Division` 16 /\ va_get_reg64 rR12 va_s < n `op_Division`
16 /\ va_get_reg64 rR12 va_s `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s == va_get_reg64 rR12
va_s + va_get_reg64 rR12 va_s `op_Division` 4 /\ va_get_reg64 rRbp va_s < 5 /\ va_get_reg64
rRax va_s == va_get_reg64 rR12 va_s /\ va_get_reg64 rRsi va_s + 16 `op_Multiply` va_get_reg64
rR15 va_s == va_get_reg64 rRsi va_old + length /\ va_get_reg64 rRsi va_old + length < pow2_64
/\ length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s =!= 0 ==> 8 `op_Multiply`
(word_index + 1) <= length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s + 8 `op_Multiply`
word_index == length /\ va_get_reg64 rRsi va_s + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 inp_b (va_get_mem_heaplet 0 va_s) + 8 `op_Multiply` word_index /\
va_get_reg64 rR15 va_s `op_Multiply` 16 <= length /\ va_get_reg64 rRcx va_s < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s) (va_get_reg64 rRdi va_s) ctx_b 24
(va_get_mem_layout va_s) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s)
(va_get_reg64 rRsi va_old) inp_b (length `op_Division` 8) (va_get_mem_layout va_s) Public /\
va_get_reg64 rRdi va_s == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s == va_get_reg64
rRcx va_old /\ (va_get_reg64 rRsi va_s - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index /\
va_get_mem_heaplet 1 va_s == va_get_mem_heaplet 1 va_old) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in va_get_reg64 rR15 va_s) ((h, word_index))) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in let va_g = (h, word_index) in let ((h:int), (word_index:nat)) = va_g in
va_QEmpty ((h, word_index)))))
val va_lemma_Poly1305_blocks_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_while0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) /\ va_state_eq va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_while0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_while0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_while0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(~(va_get_reg64 rR15 va_sM =!= 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
(forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r14:nat64)
(va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_rax:nat64) (va_x_rbp:nat64)
(va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int) (word_index:nat) . let va_sM =
va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_ok va_x_ok (va_upd_flags va_x_efl va_s0))))))))))) in va_get_ok va_sM /\ va_in_n ==
pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat
va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n
+ va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64
pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\
va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM ==
va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM <
5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16
`op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ 16
`op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length /\
va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b
(va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM
`op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_while0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int
-> va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_while0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length
va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_while0
(va_code_Poly1305_blocks_while0 ()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_while0 ())) =
(va_QProc (va_code_Poly1305_blocks_while0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx;
va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks
val va_code_Poly1305_blocks : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks () =
(va_Block (va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi) 24 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRdi) 32
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rR14) (va_op_reg_opr64_reg64 rRdi) 0 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRdi) 8
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rRbp) (va_op_reg_opr64_reg64 rRdi) 16 Public) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rR12) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rR13)
(va_const_shift_amt64 2)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rR13)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Poly1305_blocks_while0 ()) (va_CCons
(va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR14) 0 Public) (va_CCons (va_code_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRbx) 8
Public) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64
rRdi) (va_op_reg_opr64_reg64 rRbp) 16 Public) (va_CNil ())))))))))))))))))
val va_codegen_success_Poly1305_blocks : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks () =
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx))
(va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdi) 24 Public) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13)
(va_op_reg_opr64_reg64 rRdi) 32 Public) (va_pbool_and (va_codegen_success_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR14) (va_op_reg_opr64_reg64 rRdi) 0
Public) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRdi) 8 Public) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbp)
(va_op_reg_opr64_reg64 rRdi) 16 Public) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Shr64
(va_op_dst_opr64_reg64 rR13) (va_const_shift_amt64 2)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_pbool_and (va_codegen_success_Add64
(va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rR12)) (va_pbool_and
(va_codegen_success_Poly1305_blocks_while0 ()) (va_pbool_and (va_codegen_success_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR14) 0
Public) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRbx) 8 Public) (va_pbool_and
(va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbp) 16 Public) (va_ttrue ()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks (va_mods:va_mods_t) (r:int) (h_in:int) (ctx_b:buffer64)
(inp_b:buffer64) : (va_quickCode (int) (va_code_Poly1305_blocks ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 285 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (let (length:int) = va_get_reg64 rRdx
va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 289 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 292 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 294 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi) 24 Public ctx_b 3) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 295 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13)
(va_op_reg_opr64_reg64 rRdi) 32 Public ctx_b 4) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 297 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR14)
(va_op_reg_opr64_reg64 rRdi) 0 Public ctx_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 298 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbx)
(va_op_reg_opr64_reg64 rRdi) 8 Public ctx_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 299 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbp)
(va_op_reg_opr64_reg64 rRdi) 16 Public ctx_b 2) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 301 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR13) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 303 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 304 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rR12)) (fun (va_s:va_state) _
-> let (h:int) = h_in in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 307 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) 0) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 309 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg39:Prims.int) = r in let (va_arg38:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n) in let (va_arg37:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 310 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg37 va_arg38 va_arg39
va_arg40 0) (va_QEmpty (())))) (let (word_index:nat) = 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 315 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_while0 va_old_s ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 374 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR14) 0 Public ctx_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 375 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbx) 8 Public ctx_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 376 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbp) 16 Public ctx_b 2) (va_QEmpty ((h)))))))))))))))))))))
val va_lemma_Poly1305_blocks : va_b0:va_code -> va_s0:va_state -> r:int -> h_in:int ->
ctx_b:buffer64 -> inp_b:buffer64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64 rRdx va_s0 `op_Modulus` 16 == 0 /\
va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 < pow2_64 /\ Vale.X64.Decls.validDstAddrs64
(va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) ctx_b 24 (va_get_mem_layout va_s0)
Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0)
inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout va_s0) Public /\ (let h0_in
= Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_s0) in let h1_in =
Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_s0) in let h2_in =
Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_s0) in let r0_in =
Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_s0) in let r1_in =
Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_s0) in h_in == va_mul_nat h2_in
(va_mul_nat n n) + va_mul_nat h1_in n + h0_in /\ r == va_mul_nat r1_in n + r0_in /\ r0_in < n
`op_Division` 16 /\ r1_in < n `op_Division` 16 /\ r1_in `op_Modulus` 4 == 0 /\ h2_in < 5 /\
va_get_reg64 rRcx va_s0 < 2))))
(ensures (fun (va_sM, va_fM, h) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64
rRbp va_sM < 5 /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64
rRdi va_sM) ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0
`op_Division` 8) (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.modifies_buffer_specific
ctx_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM) 0 2 /\ va_get_reg64 rR14 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbx va_sM
== Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbp va_sM
== Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR11 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR12 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR13 va_sM
== va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRsi va_sM
== va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRcx va_sM == va_get_reg64
rRcx va_s0 /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 /\ (let r0_in =
Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) in let r1_in =
Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) in h == va_mul_nat
(va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM)
pow2_64 + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0 `op_Division` 8))) /\ va_state_eq
va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rRax va_sM (va_update_reg64 rRbp 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_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx 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_Poly1305_blocks va_b0 va_s0 r h_in ctx_b inp_b =
let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64
rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rRdx; va_Mod_reg64 rRsi; va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_Poly1305_blocks va_mods r h_in ctx_b inp_b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let h = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in label
va_range1
"***** POSTCONDITION NOT MET AT line 264 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 265 column 66 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) ctx_b 24
(va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 266 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_s0) inp_b
(va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 267 column 65 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific ctx_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet
1 va_sM) 0 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 268 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR14 va_sM == Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 269 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 270 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM == Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 271 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 272 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM == Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 273 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 274 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 277 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 278 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 280 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) in label
va_range1
"***** POSTCONDITION NOT MET AT line 281 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) in label
va_range1
"***** POSTCONDITION NOT MET AT line 282 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 283 column 118 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0
`op_Division` 8)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_ok; va_Mod_mem]) va_sM va_s0;
let h = va_g in
(va_sM, va_fM, h)
[@ va_qattr]
let va_wp_Poly1305_blocks (r:int) (h_in:int) (ctx_b:buffer64) (inp_b:buffer64) (va_s0:va_state)
(va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64
rRdx va_s0 `op_Modulus` 16 == 0 /\ va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 < pow2_64
/\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) ctx_b
24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0
va_s0) (va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8)
(va_get_mem_layout va_s0) Public /\ (let h0_in = Vale.X64.Decls.buffer64_read ctx_b 0
(va_get_mem_heaplet 1 va_s0) in let h1_in = Vale.X64.Decls.buffer64_read ctx_b 1
(va_get_mem_heaplet 1 va_s0) in let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2
(va_get_mem_heaplet 1 va_s0) in let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3
(va_get_mem_heaplet 1 va_s0) in let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4
(va_get_mem_heaplet 1 va_s0) in h_in == va_mul_nat h2_in (va_mul_nat n n) + va_mul_nat h1_in n
+ h0_in /\ r == va_mul_nat r1_in n + r0_in /\ r0_in < n `op_Division` 16 /\ r1_in < n
`op_Division` 16 /\ r1_in `op_Modulus` 4 == 0 /\ h2_in < 5 /\ va_get_reg64 rRcx va_s0 < 2)) /\
(forall (va_x_mem:vale_heap) (va_x_rsi:nat64) (va_x_rdx:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_r10:nat64) (va_x_r11:nat64) (va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64)
(va_x_rbx:nat64) (va_x_rbp:nat64) (va_x_rax:nat64) (va_x_r15:nat64) (va_x_efl:Vale.X64.Flags.t)
(va_x_heap1:vale_heap) (h:int) . let va_sM = va_upd_mem_heaplet 1 va_x_heap1 (va_upd_flags
va_x_efl (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRbp va_x_rbp
(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_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRsi va_x_rsi (va_upd_mem va_x_mem va_s0))))))))))))))) in va_get_ok va_sM /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64 rRbp va_sM < 5 /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) ctx_b 24
(va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM)
(va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout
va_sM) Public /\ Vale.X64.Decls.modifies_buffer_specific ctx_b (va_get_mem_heaplet 1 va_s0)
(va_get_mem_heaplet 1 va_sM) 0 2 /\ va_get_reg64 rR14 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 0 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbx va_sM == Vale.X64.Decls.buffer64_read
ctx_b 1 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbp va_sM == Vale.X64.Decls.buffer64_read
ctx_b 2 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 3 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR12 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 4 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM +
va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 +
va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0 /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_s0 /\ (let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3
(va_get_mem_heaplet 1 va_sM) in let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4
(va_get_mem_heaplet 1 va_sM) in h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64
pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0
`op_Division` 8))) ==> va_k va_sM ((h))))
val va_wpProof_Poly1305_blocks : r:int -> h_in:int -> ctx_b:buffer64 -> inp_b:buffer64 ->
va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks r h_in ctx_b inp_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks ())
([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi;
va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks r h_in ctx_b inp_b va_s0 va_k =
let (va_sM, va_f0, h) = va_lemma_Poly1305_blocks (va_code_Poly1305_blocks ()) va_s0 r h_in ctx_b
inp_b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM (va_update_reg64
rR15 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRbp 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_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx 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_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_mem]) va_sM va_s0;
let va_g = (h) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks (r:int) (h_in:int) (ctx_b:buffer64) (inp_b:buffer64) : (va_quickCode
int (va_code_Poly1305_blocks ())) =
(va_QProc (va_code_Poly1305_blocks ()) ([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15;
va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_mem]) (va_wp_Poly1305_blocks r h_in ctx_b inp_b)
(va_wpProof_Poly1305_blocks r h_in ctx_b inp_b))
//--
//-- Poly1305_last_block
val va_code_Poly1305_last_block : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_last_block () =
(va_Block (va_CCons (va_IfElse (va_cmp_lt (va_op_cmp_reg64 rR15) (va_const_cmp 8)) (va_Block
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_CCons
(va_code_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_CCons (va_code_Shl64
(va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Sub64
(va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ())))))))))))))))) (va_Block
(va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx)
(va_op_opr64_reg64 rR15)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64
8)) (va_CCons (va_code_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_CCons (va_code_Shl64
(va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (va_CCons (va_Block (va_CNil ()))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))))))))))) (va_CCons
(va_code_Poly1305_iteration ()) (va_CNil ()))))
val va_codegen_success_Poly1305_last_block : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_last_block () =
(va_pbool_and (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx)
(va_op_opr64_reg64 rR15)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRcx)
(va_const_shift_amt64 3)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx)
(va_const_opr64 1)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRdx)
(va_op_shift_amt64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRcx) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64
rRcx) (va_const_opr64 1)) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9)
(va_const_opr64 0)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_pbool_and
(va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 8)) (va_pbool_and
(va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_pbool_and
(va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64
rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRdx)) (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_const_opr64 0))))))))))))))))))))))))))))) (va_pbool_and
(va_codegen_success_Poly1305_iteration ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_last_block (va_mods:va_mods_t) : (va_quickCode unit
(va_code_Poly1305_last_block ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r1:nat64) = va_get_reg64 rRax va_s in let
(r:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s) r1 in
let (hBlocks:Prims.int) = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s) (va_get_reg64 rRbx va_s)) (va_get_reg64 rRbp va_s) in let
(inpLast:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s)
(va_get_reg64 rR9 va_s) in let (padLast:Prims.pos) = Prims.pow2 (va_get_reg64 rR15 va_s
`op_Multiply` 8) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 409 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_qIf va_mods (Cmp_lt (va_op_cmp_reg64 rR15) (va_const_cmp 8)) (qblock va_mods (fun
(va_s:va_state) -> let (va_arg78:Vale.Def.Types_s.nat64) = va_get_reg64 rR15 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 410 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_shift_power2 va_arg78) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 412 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 413 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 414 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (fun
(va_s:va_state) _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 415 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdx va_s == padLast) (let (va_arg77:Vale.Def.Types_s.nat64) = va_get_reg64 rR15
va_s in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 417 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_and_mod va_arg76 va_arg77) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 419 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(padLast == Vale.Poly1305.Math.shift_left64 1 (Vale.Poly1305.Math.shift_left64 (va_get_reg64
rR15 va_s) 3)) (let (va_arg75:Prims.int) = Prims.pow2 (va_get_reg64 rR15 va_s `op_Multiply` 8)
in let (va_arg74:Prims.int) = va_get_reg64 rR15 va_s in let (va_arg73:Vale.Def.Types_s.nat64) =
va_get_reg64 rR9 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 420 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mod_power2_lo va_arg72 va_arg73 va_arg74 va_arg75)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 421 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 422 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 425 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR8 va_s == va_get_reg64 rR8 va_old_s `op_Modulus` padLast) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 426 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) == inpLast
`op_Modulus` padLast) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 429 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 430 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 431 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 433 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 434 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 435 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QEmpty
(())))))))))))))))))))))))) (qblock va_mods (fun (va_s:va_state) -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 437 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_s - 8 >= 0 /\ va_get_reg64 rR15 va_s - 8 <= 255) (fun _ -> let
(nExtra8:nat8) = va_get_reg64 rR15 va_s - 8 in let (va_arg85:Vale.Def.Types_s.nat64) = nExtra8
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_shift_power2 va_arg85) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 441 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 442 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 443 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (fun
(va_s:va_state) _ -> va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 445 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(padLast == Vale.Poly1305.Math.lowerUpper128 0 (va_get_reg64 rRdx va_s)) (let
(va_arg84:Prims.nat) = 8 `op_Multiply` nExtra8 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 446 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_power2_add64 va_arg84) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 447 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (())))) (let
(va_arg83:Vale.Def.Types_s.nat64) = nExtra8 in let (va_arg82:Vale.Def.Types_s.nat64) =
va_get_reg64 rR9 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 451 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_and_mod va_arg82 va_arg83) (va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 452 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Prims.pow2 (8 `op_Multiply` nExtra8) >= 0 /\ Prims.pow2 (8 `op_Multiply` nExtra8) <=
18446744073709551615) (fun _ -> let (va_arg81:Vale.Def.Types_s.nat64) = Prims.pow2 (8
`op_Multiply` nExtra8) in let (va_arg80:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let
(va_arg79:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 452 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mod_hi va_arg79 va_arg80 va_arg81) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 453 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 454 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 455 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ ->
va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 456 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) == inpLast
`op_Modulus` padLast) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 459 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 460 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 461 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 463 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 464 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 465 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QEmpty
(()))))))))))))))))))))))))) (fun (va_s:va_state) va_g -> let (h:int) = hBlocks + inpLast
`op_Modulus` padLast + padLast in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 469 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx
va_s) n + va_get_reg64 rR14 va_s) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 469 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper192_reveal ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 469 column 93 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (())))) (va_qAssertBy
va_range1
"***** PRECONDITION NOT MET AT line 470 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(r == va_mul_nat r1 n + va_get_reg64 rR11 va_s) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 470 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (()))) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 471 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration r1) (fun (va_s:va_state) (hLast:int) -> va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 472 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hLast == Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14
va_s) (va_get_reg64 rRbx va_s)) (va_get_reg64 rRbp va_s)) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 472 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper192_reveal ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 472 column 111 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (())))) (let
(va_arg71:Prims.int) = r in let (va_arg70:Prims.int) = inpLast `op_Modulus` padLast + padLast
in let (va_arg69:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 473 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg69 hBlocks va_arg70 va_arg71)
(va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 474 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp ((Vale.Poly1305.Spec_s.modp
hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply` r)) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 474 column 90 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_QEmpty (()))) (va_QEmpty (()))))))))))
val va_lemma_Poly1305_last_block : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Poly1305_last_block ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in
va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n
`op_Division` 16 /\ r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division`
4 /\ (1 <= va_get_reg64 rR15 va_s0 /\ va_get_reg64 rR15 va_s0 < 16))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in
va_get_reg64 rRbp va_sM < 5 /\ (let padLast = Prims.pow2 (va_get_reg64 rR15 va_sM `op_Multiply`
8) in let hLast = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM)) (va_get_reg64 rRbp va_sM) in
Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp ((Vale.Poly1305.Spec_s.modp
hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply` r))) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_last_block va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_last_block va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_last_block ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 380 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in label
va_range1
"***** POSTCONDITION NOT MET AT line 402 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let padLast = Prims.pow2 (va_get_reg64 rR15 va_sM `op_Multiply` 8) in label va_range1
"***** POSTCONDITION NOT MET AT line 404 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let hLast = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64
rR14 va_sM) (va_get_reg64 rRbx va_sM)) (va_get_reg64 rRbp va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 405 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp ((Vale.Poly1305.Spec_s.modp
hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply` r)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Poly1305_last_block (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in
va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n
`op_Division` 16 /\ r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division`
4 /\ (1 <= va_get_reg64 rR15 va_s0 /\ va_get_reg64 rR15 va_s0 < 16)) /\ (forall
(va_x_rax:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64) (va_x_efl:Vale.X64.Flags.t)
. let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax
va_s0))))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r1:nat64) = va_get_reg64 rRax va_s0 in let
(r:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in
let (hBlocks:Prims.int) = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let
(inpLast:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0)
(va_get_reg64 rR9 va_s0) in va_get_reg64 rRbp va_sM < 5 /\ (let padLast = Prims.pow2
(va_get_reg64 rR15 va_sM `op_Multiply` 8) in let hLast = Vale.Poly1305.Math.lowerUpper192
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM))
(va_get_reg64 rRbp va_sM) in Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp
((Vale.Poly1305.Spec_s.modp hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply`
r))) ==> va_k va_sM (())))
val va_wpProof_Poly1305_last_block : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_last_block va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_last_block ())
([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10;
va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_last_block va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Poly1305_last_block (va_code_Poly1305_last_block ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_last_block () : (va_quickCode unit (va_code_Poly1305_last_block ())) =
(va_QProc (va_code_Poly1305_last_block ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Poly1305_last_block va_wpProof_Poly1305_last_block)
//--
//-- Poly1305_reduce_last
val va_code_Poly1305_reduce_last : 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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.X64.Decls.va_code | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.X64.Decls.va_Block",
"Vale.X64.Decls.va_CCons",
"Vale.X64.InsBasic.va_code_Mov64",
"Vale.X64.Decls.va_op_dst_opr64_reg64",
"Vale.X64.Machine_s.rR8",
"Vale.X64.Decls.va_op_opr64_reg64",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Machine_s.rR9",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rR10",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.InsBasic.va_code_Add64Wrap",
"Vale.X64.Decls.va_const_opr64",
"Vale.X64.InsBasic.va_code_Adc64Wrap",
"Vale.X64.InsBasic.va_code_Shr64",
"Vale.X64.Decls.va_const_shift_amt64",
"Vale.X64.Machine_s.rRax",
"Vale.X64.InsBasic.va_code_Sub64Wrap",
"Vale.X64.InsBasic.va_code_And64",
"Vale.X64.InsBasic.va_code_Add64",
"Vale.X64.Decls.va_CNil",
"Vale.X64.Decls.va_code"
] | [] | false | false | false | true | false | let va_code_Poly1305_reduce_last () =
| (va_Block (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rR14))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp))
(va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_const_opr64 5))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)
)
(va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rR10)
(va_const_shift_amt64 2))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR10))
(va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rRax)
(va_const_opr64 1))
(va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax))
(va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rRax))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax
)
(va_const_opr64 0))
(va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64
rRax)
(va_op_opr64_reg64 rR10))
(va_CCons (va_code_And64 (va_op_dst_opr64_reg64
rR8)
(va_op_opr64_reg64 rRax))
(va_CCons (va_code_And64 (va_op_dst_opr64_reg64
rR9)
(va_op_opr64_reg64 rRax))
(va_CCons (va_code_Add64 (va_op_dst_opr64_reg64
rR14)
(va_op_opr64_reg64 rR8))
(va_CCons (va_code_Add64 (va_op_dst_opr64_reg64
rRbx)
(va_op_opr64_reg64 rR9))
(va_CNil ())))))))))))))))))
)) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_lemma_Poly1305_reduce | val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) | val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) | let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 20,
"end_line": 419,
"start_col": 0,
"start_line": 395
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok 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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"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
-> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.int) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.QuickCodes.fuel",
"Prims.int",
"FStar.Pervasives.Native.Mktuple3",
"Vale.X64.Decls.va_fuel",
"Prims.unit",
"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_reg64",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Machine_s.rR10",
"Vale.X64.Machine_s.rRax",
"Vale.X64.QuickCode.va_Mod_ok",
"Prims.Nil",
"FStar.Pervasives.assert_norm",
"Prims.eq2",
"Prims.list",
"Vale.X64.QuickCode.__proj__QProc__item__mods",
"Vale.Poly1305.X64.va_code_Poly1305_reduce",
"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",
"Prims.op_Addition",
"Vale.X64.Decls.va_mul_nat",
"Vale.X64.Decls.va_get_reg64",
"Prims.op_Modulus",
"Prims.op_LessThan",
"Vale.X64.Decls.va_int_range",
"Prims.op_Subtraction",
"Prims.op_Multiply",
"Vale.X64.QuickCode.quickCode",
"Vale.Poly1305.X64.va_qcode_Poly1305_reduce"
] | [] | false | false | false | false | false | let va_lemma_Poly1305_reduce va_b0 va_s0 =
| let va_mods:va_mods_t =
[
va_Mod_flags;
va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx;
va_Mod_reg64 rR14;
va_Mod_reg64 rR10;
va_Mod_reg64 rRax;
va_Mod_ok
]
in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let va_sM, va_fM, va_g =
va_wp_sound_code_norm (va_code_Poly1305_reduce ())
va_qc
va_s0
(fun va_s0 va_sM va_g ->
let hh = va_g in
label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\
(let n:(va_int_range 18446744073709551616 18446744073709551616) = 18446744073709551616 in
let p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) =
(va_mul_nat n n) `op_Multiply` 4 - 5
in
let hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895) =
va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s0) +
va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0
in
label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh ==
va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) +
va_get_reg64 rR14 va_sM) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5)))
in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([
va_Mod_flags;
va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx;
va_Mod_reg64 rR14;
va_Mod_reg64 rR10;
va_Mod_reg64 rRax;
va_Mod_ok
])
va_sM
va_s0;
let hh = va_g in
(va_sM, va_fM, hh) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_lemma_Poly1305_multiply | val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))))) | val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))))) | let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 20,
"end_line": 240,
"start_col": 0,
"start_line": 209
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"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 -> r1: Vale.X64.Memory.nat64
-> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.int) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.Memory.nat64",
"Vale.X64.QuickCodes.fuel",
"Prims.int",
"FStar.Pervasives.Native.Mktuple3",
"Vale.X64.Decls.va_fuel",
"Prims.unit",
"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_reg64",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Machine_s.rR10",
"Vale.X64.Machine_s.rR9",
"Vale.X64.Machine_s.rR8",
"Vale.X64.QuickCode.va_Mod_ok",
"Prims.Nil",
"FStar.Pervasives.assert_norm",
"Prims.eq2",
"Prims.list",
"Vale.X64.QuickCode.__proj__QProc__item__mods",
"Vale.Poly1305.X64.va_code_Poly1305_multiply",
"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",
"Prims.op_Addition",
"Vale.X64.Decls.va_mul_nat",
"Vale.X64.Decls.va_get_reg64",
"Prims.op_Modulus",
"Prims.op_LessThan",
"Prims.op_Multiply",
"Prims.op_Division",
"Vale.X64.Decls.va_int_range",
"Vale.X64.Machine_s.rR11",
"Prims.op_Subtraction",
"Vale.X64.Machine_s.pow2_64",
"Vale.X64.QuickCode.quickCode",
"Vale.Poly1305.X64.va_qcode_Poly1305_multiply"
] | [] | false | false | false | false | false | let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
| let va_mods:va_mods_t =
[
va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok
]
in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let va_sM, va_fM, va_g =
va_wp_sound_code_norm (va_code_Poly1305_multiply ())
va_qc
va_s0
(fun va_s0 va_sM va_g ->
let hh = va_g in
label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\
(let n:(va_int_range 18446744073709551616 18446744073709551616) = pow2_64 in
let p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) =
(va_mul_nat n n) `op_Multiply` 4 - 5
in
let r:(va_int_range 0 340282366920938463463374607431768211455) =
va_mul_nat r1 n + va_get_reg64 rR11 va_s0
in
let h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895) =
va_mul_nat (va_get_reg64 rRbp va_s0) (va_mul_nat n n) +
va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0
in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh ==
va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) +
va_get_reg64 rR14 va_sM) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_mul_nat h r) `op_Modulus` p == hh `op_Modulus` p) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(((va_get_reg64 rR10 va_sM) `op_Division` 4)
`op_Multiply`
4 +
(va_get_reg64 rR10 va_sM)
`op_Division`
4 <
18446744073709551616) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612)))
in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([
va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok
])
va_sM
va_s0;
let hh = va_g in
(va_sM, va_fM, hh) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_code_Poly1305_blocks_while0 | val va_code_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_code | val va_code_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_code | let va_code_Poly1305_blocks_while0 () =
(va_Block (va_CCons (va_While (va_cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (va_Block
(va_CCons (va_code_Poly1305_blocks_body0 ()) (va_CNil ())))) (va_CNil ()))) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 79,
"end_line": 1023,
"start_col": 0,
"start_line": 1021
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce)
//--
//-- Poly1305_iteration
val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_iteration () =
(va_Block (va_CCons (va_code_Poly1305_multiply ()) (va_CCons (va_code_Poly1305_reduce ())
(va_CNil ()))))
val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_iteration () =
(va_pbool_and (va_codegen_success_Poly1305_multiply ()) (va_pbool_and
(va_codegen_success_Poly1305_reduce ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_iteration (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_iteration ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in let (va_arg50:Prims.int) = n `op_Division` 16 in let
(va_arg49:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg48:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg48 7 va_arg49 va_arg50)
(let (va_arg47:Prims.int) = n `op_Division` 16 in let (va_arg46:Prims.int) = r1 in let
(va_arg45:Prims.int) = n in let (va_arg44:Prims.int) = va_get_reg64 rR14 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 211 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg44 va_arg45 va_arg46
va_arg47) (let (va_arg43:Prims.int) = n `op_Division` 16 in let (va_arg42:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg41:Prims.int) = n in let (va_arg40:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg40 va_arg41 va_arg42
va_arg43) (let (va_arg39:Prims.int) = n `op_Division` 8 in let (va_arg38:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg37:Prims.int) = n in let (va_arg36:Prims.int) =
va_get_reg64 rRbp va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg36 va_arg37 va_arg38
va_arg39) (let (va_arg35:Prims.int) = n `op_Division` 16 in let (va_arg34:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg33:Prims.int) = n in let (va_arg32:Prims.int) =
va_get_reg64 rR14 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg32 va_arg33 va_arg34
va_arg35) (let (va_arg31:Prims.int) = n `op_Division` 8 in let (va_arg30:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg29:Prims.int) = n in let (va_arg28:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg28 va_arg29 va_arg30
va_arg31) (let (va_arg27:Prims.int) = 5 `op_Multiply` n `op_Division` 64 in let
(va_arg26:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg25:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg25 7 va_arg26 va_arg27)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 218 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_multiply r1) (fun (va_s:va_state) (hd:int) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_reduce ()) (fun (va_s:va_state) (hh:int) -> va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 220 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 221 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(l_and (hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_s) + va_mul_nat n (va_get_reg64
rRbx va_s) + va_get_reg64 rR14 va_s) (va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p))
(va_QEmpty ((hh)))))))))))))))
val va_lemma_Poly1305_iteration : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_iteration ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp (va_mul_nat h r) ==
Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_iteration va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_iteration va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_iteration ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 180 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 201 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp (va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_iteration (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1) /\ (forall (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp
(va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_iteration : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_iteration r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_iteration ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_iteration r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_iteration (va_code_Poly1305_iteration ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_iteration (r1:nat64) : (va_quickCode int (va_code_Poly1305_iteration ())) =
(va_QProc (va_code_Poly1305_iteration ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRax]) (va_wp_Poly1305_iteration r1) (va_wpProof_Poly1305_iteration r1))
//--
//-- Poly1305_blocks_body0
val va_code_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_body0 () =
(va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Public))
(va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_CCons
(va_code_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (va_CCons
(va_code_Poly1305_iteration ()) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64
1)) (va_CNil ())))))))))))
val va_codegen_success_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_body0 () =
(va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0)
(va_op_reg64_reg64 rRsi) 0 Public)) (va_pbool_and (va_codegen_success_Mem64_lemma ())
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64
(va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_pbool_and
(va_codegen_success_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi)
(va_const_opr64 16)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Poly1305_iteration ())
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1))
(va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_body0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in let (nn:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (hp:int) = h in let (h:int) = h +
va_mul_nat (va_mul_nat nn nn) (va_get_reg64 rRcx va_s) + va_mul_nat nn
(Vale.X64.Decls.buffer64_read inp_b (word_index + 1) (va_get_mem_heaplet 0 va_s)) +
Vale.X64.Decls.buffer64_read inp_b word_index (va_get_mem_heaplet 0 va_s) in let (hq:int) = h
in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inp_b word_index
Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 0 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inp_b
(word_index + 1) Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 355 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 356 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state)
_ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 358 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hq == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat nn nn) + va_mul_nat (va_get_reg64 rRbx
va_s) nn + va_get_reg64 rR14 va_s) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 360 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration (va_get_reg64 rR12 va_s)) (fun (va_s:va_state) (h:int) -> va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 362 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 363 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1)) (fun (va_s:va_state) _ -> let
(word_index:nat) = word_index + 2 in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 366 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index) (let
(va_arg50:Prims.int) = word_index in let (va_arg49:(FStar.Seq.Base.seq Vale.X64.Memory.nat64))
= Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b in let (va_arg48:Prims.int)
= r in let (va_arg47:Prims.int) = va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let
(va_arg46:Prims.int) = Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 368 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg46 va_arg47 va_arg48
va_arg49 va_arg50) (let (va_arg45:Prims.int) = word_index - 2 in let
(va_arg44:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg43:Prims.int) = r in let (va_arg42:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let (va_arg41:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 369 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg41 va_arg42 va_arg43
va_arg44 va_arg45) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 370 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:Prims.int) = r in let (va_arg39:Prims.int) = hq - hp in let (va_arg38:Prims.int) = hp
in let (va_arg37:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg37 va_arg38 va_arg39 va_arg40)
(va_QEmpty (())))))) (va_QEmpty ((h, word_index)))))))))))))))
val va_lemma_Poly1305_blocks_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old /\ va_get_reg64 rR15 va_s0 =!= 0))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15
va_s0) /\ va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_body0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_body0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_body0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 345 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
va_get_reg64 rR15 va_s0 =!= 0 /\ (forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_rax:nat64) (va_x_rbp:nat64) (va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int)
(word_index:nat) . let va_sM = va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64
rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10 (va_upd_ok va_x_ok (va_upd_flags va_x_efl
va_s0))))))))))) in va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n ==
va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\
va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h ==
va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64
rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12
va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64
rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM ==
va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM
== va_get_reg64 rRsi va_old + va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64
/\ va_in_length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8
`op_Multiply` (word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8
`op_Multiply` word_index == va_in_length /\ va_get_reg64 rRsi va_sM + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) +
8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_sM < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM)
(va_get_reg64 rRdi va_sM) va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old /\
precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_body0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int ->
va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_body0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_body0 (va_code_Poly1305_blocks_body0
()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r
va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_body0 ())) =
(va_QProc (va_code_Poly1305_blocks_body0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64
rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks_while0
val va_code_Poly1305_blocks_while0 : 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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.X64.Decls.va_code | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.X64.Decls.va_Block",
"Vale.X64.Decls.va_CCons",
"Vale.X64.Decls.va_While",
"Vale.X64.Decls.va_cmp_ne",
"Vale.X64.Decls.va_op_cmp_reg64",
"Vale.X64.Machine_s.rR15",
"Vale.X64.Decls.va_const_cmp",
"Vale.Poly1305.X64.va_code_Poly1305_blocks_body0",
"Vale.X64.Decls.va_CNil",
"Vale.X64.Decls.va_code"
] | [] | false | false | false | true | false | let va_code_Poly1305_blocks_while0 () =
| (va_Block (va_CCons (va_While (va_cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0))
(va_Block (va_CCons (va_code_Poly1305_blocks_body0 ()) (va_CNil ()))))
(va_CNil ()))) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_quick_Poly1305_blocks_body0 | val va_quick_Poly1305_blocks_body0
(va_old: va_state)
(va_in_ctx_b: buffer64)
(va_in_h_in: int)
(va_in_inp_b: buffer64)
(va_in_length: int)
(va_in_n: (va_int_range 18446744073709551616 18446744073709551616))
(va_in_p:
(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819))
(va_in_r va_in_h: int)
(va_in_word_index: nat)
: (va_quickCode (int & nat) (va_code_Poly1305_blocks_body0 ())) | val va_quick_Poly1305_blocks_body0
(va_old: va_state)
(va_in_ctx_b: buffer64)
(va_in_h_in: int)
(va_in_inp_b: buffer64)
(va_in_length: int)
(va_in_n: (va_int_range 18446744073709551616 18446744073709551616))
(va_in_p:
(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819))
(va_in_r va_in_h: int)
(va_in_word_index: nat)
: (va_quickCode (int & nat) (va_code_Poly1305_blocks_body0 ())) | let va_quick_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_body0 ())) =
(va_QProc (va_code_Poly1305_blocks_body0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64
rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index)) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 90,
"end_line": 1015,
"start_col": 0,
"start_line": 1005
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce)
//--
//-- Poly1305_iteration
val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_iteration () =
(va_Block (va_CCons (va_code_Poly1305_multiply ()) (va_CCons (va_code_Poly1305_reduce ())
(va_CNil ()))))
val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_iteration () =
(va_pbool_and (va_codegen_success_Poly1305_multiply ()) (va_pbool_and
(va_codegen_success_Poly1305_reduce ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_iteration (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_iteration ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in let (va_arg50:Prims.int) = n `op_Division` 16 in let
(va_arg49:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg48:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg48 7 va_arg49 va_arg50)
(let (va_arg47:Prims.int) = n `op_Division` 16 in let (va_arg46:Prims.int) = r1 in let
(va_arg45:Prims.int) = n in let (va_arg44:Prims.int) = va_get_reg64 rR14 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 211 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg44 va_arg45 va_arg46
va_arg47) (let (va_arg43:Prims.int) = n `op_Division` 16 in let (va_arg42:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg41:Prims.int) = n in let (va_arg40:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg40 va_arg41 va_arg42
va_arg43) (let (va_arg39:Prims.int) = n `op_Division` 8 in let (va_arg38:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg37:Prims.int) = n in let (va_arg36:Prims.int) =
va_get_reg64 rRbp va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg36 va_arg37 va_arg38
va_arg39) (let (va_arg35:Prims.int) = n `op_Division` 16 in let (va_arg34:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg33:Prims.int) = n in let (va_arg32:Prims.int) =
va_get_reg64 rR14 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg32 va_arg33 va_arg34
va_arg35) (let (va_arg31:Prims.int) = n `op_Division` 8 in let (va_arg30:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg29:Prims.int) = n in let (va_arg28:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg28 va_arg29 va_arg30
va_arg31) (let (va_arg27:Prims.int) = 5 `op_Multiply` n `op_Division` 64 in let
(va_arg26:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg25:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg25 7 va_arg26 va_arg27)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 218 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_multiply r1) (fun (va_s:va_state) (hd:int) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_reduce ()) (fun (va_s:va_state) (hh:int) -> va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 220 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 221 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(l_and (hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_s) + va_mul_nat n (va_get_reg64
rRbx va_s) + va_get_reg64 rR14 va_s) (va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p))
(va_QEmpty ((hh)))))))))))))))
val va_lemma_Poly1305_iteration : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_iteration ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp (va_mul_nat h r) ==
Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_iteration va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_iteration va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_iteration ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 180 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 201 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp (va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_iteration (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1) /\ (forall (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp
(va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_iteration : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_iteration r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_iteration ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_iteration r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_iteration (va_code_Poly1305_iteration ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_iteration (r1:nat64) : (va_quickCode int (va_code_Poly1305_iteration ())) =
(va_QProc (va_code_Poly1305_iteration ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRax]) (va_wp_Poly1305_iteration r1) (va_wpProof_Poly1305_iteration r1))
//--
//-- Poly1305_blocks_body0
val va_code_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_body0 () =
(va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Public))
(va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_CCons
(va_code_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (va_CCons
(va_code_Poly1305_iteration ()) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64
1)) (va_CNil ())))))))))))
val va_codegen_success_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_body0 () =
(va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0)
(va_op_reg64_reg64 rRsi) 0 Public)) (va_pbool_and (va_codegen_success_Mem64_lemma ())
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64
(va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_pbool_and
(va_codegen_success_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi)
(va_const_opr64 16)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Poly1305_iteration ())
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1))
(va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_body0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in let (nn:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (hp:int) = h in let (h:int) = h +
va_mul_nat (va_mul_nat nn nn) (va_get_reg64 rRcx va_s) + va_mul_nat nn
(Vale.X64.Decls.buffer64_read inp_b (word_index + 1) (va_get_mem_heaplet 0 va_s)) +
Vale.X64.Decls.buffer64_read inp_b word_index (va_get_mem_heaplet 0 va_s) in let (hq:int) = h
in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inp_b word_index
Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 0 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inp_b
(word_index + 1) Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 355 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 356 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state)
_ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 358 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hq == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat nn nn) + va_mul_nat (va_get_reg64 rRbx
va_s) nn + va_get_reg64 rR14 va_s) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 360 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration (va_get_reg64 rR12 va_s)) (fun (va_s:va_state) (h:int) -> va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 362 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 363 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1)) (fun (va_s:va_state) _ -> let
(word_index:nat) = word_index + 2 in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 366 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index) (let
(va_arg50:Prims.int) = word_index in let (va_arg49:(FStar.Seq.Base.seq Vale.X64.Memory.nat64))
= Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b in let (va_arg48:Prims.int)
= r in let (va_arg47:Prims.int) = va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let
(va_arg46:Prims.int) = Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 368 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg46 va_arg47 va_arg48
va_arg49 va_arg50) (let (va_arg45:Prims.int) = word_index - 2 in let
(va_arg44:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg43:Prims.int) = r in let (va_arg42:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let (va_arg41:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 369 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg41 va_arg42 va_arg43
va_arg44 va_arg45) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 370 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:Prims.int) = r in let (va_arg39:Prims.int) = hq - hp in let (va_arg38:Prims.int) = hp
in let (va_arg37:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg37 va_arg38 va_arg39 va_arg40)
(va_QEmpty (())))))) (va_QEmpty ((h, word_index)))))))))))))))
val va_lemma_Poly1305_blocks_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old /\ va_get_reg64 rR15 va_s0 =!= 0))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15
va_s0) /\ va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_body0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_body0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_body0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 345 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
va_get_reg64 rR15 va_s0 =!= 0 /\ (forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_rax:nat64) (va_x_rbp:nat64) (va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int)
(word_index:nat) . let va_sM = va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64
rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10 (va_upd_ok va_x_ok (va_upd_flags va_x_efl
va_s0))))))))))) in va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n ==
va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\
va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h ==
va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64
rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12
va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64
rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM ==
va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM
== va_get_reg64 rRsi va_old + va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64
/\ va_in_length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8
`op_Multiply` (word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8
`op_Multiply` word_index == va_in_length /\ va_get_reg64 rRsi va_sM + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) +
8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_sM < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM)
(va_get_reg64 rRdi va_sM) va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old /\
precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_body0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int ->
va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_body0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_body0 (va_code_Poly1305_blocks_body0
()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r
va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g) | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_old: Vale.X64.Decls.va_state ->
va_in_ctx_b: Vale.X64.Memory.buffer64 ->
va_in_h_in: Prims.int ->
va_in_inp_b: Vale.X64.Memory.buffer64 ->
va_in_length: Prims.int ->
va_in_n: Vale.X64.Decls.va_int_range 18446744073709551616 18446744073709551616 ->
va_in_p:
Vale.X64.Decls.va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819 ->
va_in_r: Prims.int ->
va_in_h: Prims.int ->
va_in_word_index: Prims.nat
-> Vale.X64.QuickCode.va_quickCode (Prims.int * Prims.nat)
(Vale.Poly1305.X64.va_code_Poly1305_blocks_body0 ()) | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.Decls.va_state",
"Vale.X64.Memory.buffer64",
"Prims.int",
"Vale.X64.Decls.va_int_range",
"Prims.nat",
"Vale.X64.QuickCode.va_QProc",
"FStar.Pervasives.Native.tuple2",
"Vale.Poly1305.X64.va_code_Poly1305_blocks_body0",
"Prims.Cons",
"Vale.X64.QuickCode.mod_t",
"Vale.X64.QuickCode.va_Mod_reg64",
"Vale.X64.Machine_s.rRsi",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Machine_s.rR9",
"Vale.X64.Machine_s.rR8",
"Vale.X64.Machine_s.rR15",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Machine_s.rR10",
"Vale.X64.QuickCode.va_Mod_ok",
"Vale.X64.QuickCode.va_Mod_flags",
"Prims.Nil",
"Vale.Poly1305.X64.va_wp_Poly1305_blocks_body0",
"Vale.Poly1305.X64.va_wpProof_Poly1305_blocks_body0",
"Vale.X64.QuickCode.va_quickCode"
] | [] | false | false | false | false | false | let va_quick_Poly1305_blocks_body0
(va_old: va_state)
(va_in_ctx_b: buffer64)
(va_in_h_in: int)
(va_in_inp_b: buffer64)
(va_in_length: int)
(va_in_n: (va_int_range 18446744073709551616 18446744073709551616))
(va_in_p:
(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819))
(va_in_r va_in_h: int)
(va_in_word_index: nat)
: (va_quickCode (int & nat) (va_code_Poly1305_blocks_body0 ())) =
| (va_QProc (va_code_Poly1305_blocks_body0 ())
([
va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags
])
(va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index)
(va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index)) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_quick_Poly1305_blocks_while0 | val va_quick_Poly1305_blocks_while0
(va_old: va_state)
(va_in_ctx_b: buffer64)
(va_in_h_in: int)
(va_in_inp_b: buffer64)
(va_in_length: int)
(va_in_n: (va_int_range 18446744073709551616 18446744073709551616))
(va_in_p:
(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819))
(va_in_r va_in_h: int)
(va_in_word_index: nat)
: (va_quickCode (int & nat) (va_code_Poly1305_blocks_while0 ())) | val va_quick_Poly1305_blocks_while0
(va_old: va_state)
(va_in_ctx_b: buffer64)
(va_in_h_in: int)
(va_in_inp_b: buffer64)
(va_in_length: int)
(va_in_n: (va_int_range 18446744073709551616 18446744073709551616))
(va_in_p:
(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819))
(va_in_r va_in_h: int)
(va_in_word_index: nat)
: (va_quickCode (int & nat) (va_code_Poly1305_blocks_while0 ())) | let va_quick_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_while0 ())) =
(va_QProc (va_code_Poly1305_blocks_while0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx;
va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index)) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 90,
"end_line": 1336,
"start_col": 0,
"start_line": 1326
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce)
//--
//-- Poly1305_iteration
val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_iteration () =
(va_Block (va_CCons (va_code_Poly1305_multiply ()) (va_CCons (va_code_Poly1305_reduce ())
(va_CNil ()))))
val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_iteration () =
(va_pbool_and (va_codegen_success_Poly1305_multiply ()) (va_pbool_and
(va_codegen_success_Poly1305_reduce ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_iteration (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_iteration ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in let (va_arg50:Prims.int) = n `op_Division` 16 in let
(va_arg49:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg48:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg48 7 va_arg49 va_arg50)
(let (va_arg47:Prims.int) = n `op_Division` 16 in let (va_arg46:Prims.int) = r1 in let
(va_arg45:Prims.int) = n in let (va_arg44:Prims.int) = va_get_reg64 rR14 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 211 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg44 va_arg45 va_arg46
va_arg47) (let (va_arg43:Prims.int) = n `op_Division` 16 in let (va_arg42:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg41:Prims.int) = n in let (va_arg40:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg40 va_arg41 va_arg42
va_arg43) (let (va_arg39:Prims.int) = n `op_Division` 8 in let (va_arg38:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg37:Prims.int) = n in let (va_arg36:Prims.int) =
va_get_reg64 rRbp va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg36 va_arg37 va_arg38
va_arg39) (let (va_arg35:Prims.int) = n `op_Division` 16 in let (va_arg34:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg33:Prims.int) = n in let (va_arg32:Prims.int) =
va_get_reg64 rR14 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg32 va_arg33 va_arg34
va_arg35) (let (va_arg31:Prims.int) = n `op_Division` 8 in let (va_arg30:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg29:Prims.int) = n in let (va_arg28:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg28 va_arg29 va_arg30
va_arg31) (let (va_arg27:Prims.int) = 5 `op_Multiply` n `op_Division` 64 in let
(va_arg26:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg25:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg25 7 va_arg26 va_arg27)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 218 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_multiply r1) (fun (va_s:va_state) (hd:int) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_reduce ()) (fun (va_s:va_state) (hh:int) -> va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 220 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 221 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(l_and (hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_s) + va_mul_nat n (va_get_reg64
rRbx va_s) + va_get_reg64 rR14 va_s) (va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p))
(va_QEmpty ((hh)))))))))))))))
val va_lemma_Poly1305_iteration : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_iteration ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp (va_mul_nat h r) ==
Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_iteration va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_iteration va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_iteration ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 180 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 201 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp (va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_iteration (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1) /\ (forall (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp
(va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_iteration : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_iteration r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_iteration ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_iteration r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_iteration (va_code_Poly1305_iteration ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_iteration (r1:nat64) : (va_quickCode int (va_code_Poly1305_iteration ())) =
(va_QProc (va_code_Poly1305_iteration ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRax]) (va_wp_Poly1305_iteration r1) (va_wpProof_Poly1305_iteration r1))
//--
//-- Poly1305_blocks_body0
val va_code_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_body0 () =
(va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Public))
(va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_CCons
(va_code_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (va_CCons
(va_code_Poly1305_iteration ()) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64
1)) (va_CNil ())))))))))))
val va_codegen_success_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_body0 () =
(va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0)
(va_op_reg64_reg64 rRsi) 0 Public)) (va_pbool_and (va_codegen_success_Mem64_lemma ())
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64
(va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_pbool_and
(va_codegen_success_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi)
(va_const_opr64 16)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Poly1305_iteration ())
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1))
(va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_body0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in let (nn:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (hp:int) = h in let (h:int) = h +
va_mul_nat (va_mul_nat nn nn) (va_get_reg64 rRcx va_s) + va_mul_nat nn
(Vale.X64.Decls.buffer64_read inp_b (word_index + 1) (va_get_mem_heaplet 0 va_s)) +
Vale.X64.Decls.buffer64_read inp_b word_index (va_get_mem_heaplet 0 va_s) in let (hq:int) = h
in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inp_b word_index
Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 0 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inp_b
(word_index + 1) Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 355 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 356 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state)
_ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 358 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hq == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat nn nn) + va_mul_nat (va_get_reg64 rRbx
va_s) nn + va_get_reg64 rR14 va_s) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 360 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration (va_get_reg64 rR12 va_s)) (fun (va_s:va_state) (h:int) -> va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 362 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 363 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1)) (fun (va_s:va_state) _ -> let
(word_index:nat) = word_index + 2 in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 366 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index) (let
(va_arg50:Prims.int) = word_index in let (va_arg49:(FStar.Seq.Base.seq Vale.X64.Memory.nat64))
= Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b in let (va_arg48:Prims.int)
= r in let (va_arg47:Prims.int) = va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let
(va_arg46:Prims.int) = Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 368 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg46 va_arg47 va_arg48
va_arg49 va_arg50) (let (va_arg45:Prims.int) = word_index - 2 in let
(va_arg44:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg43:Prims.int) = r in let (va_arg42:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let (va_arg41:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 369 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg41 va_arg42 va_arg43
va_arg44 va_arg45) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 370 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:Prims.int) = r in let (va_arg39:Prims.int) = hq - hp in let (va_arg38:Prims.int) = hp
in let (va_arg37:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg37 va_arg38 va_arg39 va_arg40)
(va_QEmpty (())))))) (va_QEmpty ((h, word_index)))))))))))))))
val va_lemma_Poly1305_blocks_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old /\ va_get_reg64 rR15 va_s0 =!= 0))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15
va_s0) /\ va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_body0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_body0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_body0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 345 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
va_get_reg64 rR15 va_s0 =!= 0 /\ (forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_rax:nat64) (va_x_rbp:nat64) (va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int)
(word_index:nat) . let va_sM = va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64
rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10 (va_upd_ok va_x_ok (va_upd_flags va_x_efl
va_s0))))))))))) in va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n ==
va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\
va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h ==
va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64
rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12
va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64
rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM ==
va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM
== va_get_reg64 rRsi va_old + va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64
/\ va_in_length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8
`op_Multiply` (word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8
`op_Multiply` word_index == va_in_length /\ va_get_reg64 rRsi va_sM + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) +
8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_sM < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM)
(va_get_reg64 rRdi va_sM) va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old /\
precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_body0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int ->
va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_body0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_body0 (va_code_Poly1305_blocks_body0
()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r
va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_body0 ())) =
(va_QProc (va_code_Poly1305_blocks_body0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64
rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks_while0
val va_code_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_while0 () =
(va_Block (va_CCons (va_While (va_cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (va_Block
(va_CCons (va_code_Poly1305_blocks_body0 ()) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_while0 () =
(va_pbool_and (va_codegen_success_Poly1305_blocks_body0 ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_while0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_qWhile va_mods (Cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (fun va_g -> let (h:int) =
let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g in
word_index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_body0 va_old ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QEmpty ((h, word_index))))) (fun
(va_s:va_state) va_g -> let (h:int) = let (h, word_index) = va_g in h in let (word_index:nat) =
let (h, word_index) = va_g in word_index in va_get_ok va_s /\ n == pow2_64 /\ va_mul_nat n n ==
va_mul_nat pow2_64 pow2_64 /\ p == va_mul_nat n n `op_Multiply` 4 - 5 /\ r == va_mul_nat
(va_get_reg64 rR12 va_s) n + va_get_reg64 rR11 va_s /\ h == va_mul_nat (va_get_reg64 rRbp va_s)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s) pow2_64 + va_get_reg64 rR14
va_s /\ va_get_reg64 rR11 va_s < n `op_Division` 16 /\ va_get_reg64 rR12 va_s < n `op_Division`
16 /\ va_get_reg64 rR12 va_s `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s == va_get_reg64 rR12
va_s + va_get_reg64 rR12 va_s `op_Division` 4 /\ va_get_reg64 rRbp va_s < 5 /\ va_get_reg64
rRax va_s == va_get_reg64 rR12 va_s /\ va_get_reg64 rRsi va_s + 16 `op_Multiply` va_get_reg64
rR15 va_s == va_get_reg64 rRsi va_old + length /\ va_get_reg64 rRsi va_old + length < pow2_64
/\ length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s =!= 0 ==> 8 `op_Multiply`
(word_index + 1) <= length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s + 8 `op_Multiply`
word_index == length /\ va_get_reg64 rRsi va_s + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 inp_b (va_get_mem_heaplet 0 va_s) + 8 `op_Multiply` word_index /\
va_get_reg64 rR15 va_s `op_Multiply` 16 <= length /\ va_get_reg64 rRcx va_s < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s) (va_get_reg64 rRdi va_s) ctx_b 24
(va_get_mem_layout va_s) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s)
(va_get_reg64 rRsi va_old) inp_b (length `op_Division` 8) (va_get_mem_layout va_s) Public /\
va_get_reg64 rRdi va_s == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s == va_get_reg64
rRcx va_old /\ (va_get_reg64 rRsi va_s - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index /\
va_get_mem_heaplet 1 va_s == va_get_mem_heaplet 1 va_old) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in va_get_reg64 rR15 va_s) ((h, word_index))) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in let va_g = (h, word_index) in let ((h:int), (word_index:nat)) = va_g in
va_QEmpty ((h, word_index)))))
val va_lemma_Poly1305_blocks_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_while0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) /\ va_state_eq va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_while0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_while0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_while0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(~(va_get_reg64 rR15 va_sM =!= 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
(forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r14:nat64)
(va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_rax:nat64) (va_x_rbp:nat64)
(va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int) (word_index:nat) . let va_sM =
va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_ok va_x_ok (va_upd_flags va_x_efl va_s0))))))))))) in va_get_ok va_sM /\ va_in_n ==
pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat
va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n
+ va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64
pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\
va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM ==
va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM <
5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16
`op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ 16
`op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length /\
va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b
(va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM
`op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_while0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int
-> va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_while0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length
va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_while0
(va_code_Poly1305_blocks_while0 ()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g) | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_old: Vale.X64.Decls.va_state ->
va_in_ctx_b: Vale.X64.Memory.buffer64 ->
va_in_h_in: Prims.int ->
va_in_inp_b: Vale.X64.Memory.buffer64 ->
va_in_length: Prims.int ->
va_in_n: Vale.X64.Decls.va_int_range 18446744073709551616 18446744073709551616 ->
va_in_p:
Vale.X64.Decls.va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819 ->
va_in_r: Prims.int ->
va_in_h: Prims.int ->
va_in_word_index: Prims.nat
-> Vale.X64.QuickCode.va_quickCode (Prims.int * Prims.nat)
(Vale.Poly1305.X64.va_code_Poly1305_blocks_while0 ()) | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.Decls.va_state",
"Vale.X64.Memory.buffer64",
"Prims.int",
"Vale.X64.Decls.va_int_range",
"Prims.nat",
"Vale.X64.QuickCode.va_QProc",
"FStar.Pervasives.Native.tuple2",
"Vale.Poly1305.X64.va_code_Poly1305_blocks_while0",
"Prims.Cons",
"Vale.X64.QuickCode.mod_t",
"Vale.X64.QuickCode.va_Mod_reg64",
"Vale.X64.Machine_s.rRsi",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Machine_s.rR9",
"Vale.X64.Machine_s.rR8",
"Vale.X64.Machine_s.rR15",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Machine_s.rR10",
"Vale.X64.QuickCode.va_Mod_ok",
"Vale.X64.QuickCode.va_Mod_flags",
"Prims.Nil",
"Vale.Poly1305.X64.va_wp_Poly1305_blocks_while0",
"Vale.Poly1305.X64.va_wpProof_Poly1305_blocks_while0",
"Vale.X64.QuickCode.va_quickCode"
] | [] | false | false | false | false | false | let va_quick_Poly1305_blocks_while0
(va_old: va_state)
(va_in_ctx_b: buffer64)
(va_in_h_in: int)
(va_in_inp_b: buffer64)
(va_in_length: int)
(va_in_n: (va_int_range 18446744073709551616 18446744073709551616))
(va_in_p:
(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819))
(va_in_r va_in_h: int)
(va_in_word_index: nat)
: (va_quickCode (int & nat) (va_code_Poly1305_blocks_while0 ())) =
| (va_QProc (va_code_Poly1305_blocks_while0 ())
([
va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags
])
(va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index)
(va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length
va_in_n va_in_p va_in_r va_in_h va_in_word_index)) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_qcode_Poly1305_blocks_while0 | val va_qcode_Poly1305_blocks_while0
(va_mods: va_mods_t)
(va_old: va_state)
(va_in_ctx_b: buffer64)
(va_in_h_in: int)
(va_in_inp_b: buffer64)
(va_in_length: int)
(va_in_n: (va_int_range 18446744073709551616 18446744073709551616))
(va_in_p:
(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819))
(va_in_r va_in_h: int)
(va_in_word_index: nat)
: (va_quickCode (int & nat) (va_code_Poly1305_blocks_while0 ())) | val va_qcode_Poly1305_blocks_while0
(va_mods: va_mods_t)
(va_old: va_state)
(va_in_ctx_b: buffer64)
(va_in_h_in: int)
(va_in_inp_b: buffer64)
(va_in_length: int)
(va_in_n: (va_int_range 18446744073709551616 18446744073709551616))
(va_in_p:
(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819))
(va_in_r va_in_h: int)
(va_in_word_index: nat)
: (va_quickCode (int & nat) (va_code_Poly1305_blocks_while0 ())) | let va_qcode_Poly1305_blocks_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_while0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_qWhile va_mods (Cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (fun va_g -> let (h:int) =
let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g in
word_index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_body0 va_old ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QEmpty ((h, word_index))))) (fun
(va_s:va_state) va_g -> let (h:int) = let (h, word_index) = va_g in h in let (word_index:nat) =
let (h, word_index) = va_g in word_index in va_get_ok va_s /\ n == pow2_64 /\ va_mul_nat n n ==
va_mul_nat pow2_64 pow2_64 /\ p == va_mul_nat n n `op_Multiply` 4 - 5 /\ r == va_mul_nat
(va_get_reg64 rR12 va_s) n + va_get_reg64 rR11 va_s /\ h == va_mul_nat (va_get_reg64 rRbp va_s)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s) pow2_64 + va_get_reg64 rR14
va_s /\ va_get_reg64 rR11 va_s < n `op_Division` 16 /\ va_get_reg64 rR12 va_s < n `op_Division`
16 /\ va_get_reg64 rR12 va_s `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s == va_get_reg64 rR12
va_s + va_get_reg64 rR12 va_s `op_Division` 4 /\ va_get_reg64 rRbp va_s < 5 /\ va_get_reg64
rRax va_s == va_get_reg64 rR12 va_s /\ va_get_reg64 rRsi va_s + 16 `op_Multiply` va_get_reg64
rR15 va_s == va_get_reg64 rRsi va_old + length /\ va_get_reg64 rRsi va_old + length < pow2_64
/\ length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s =!= 0 ==> 8 `op_Multiply`
(word_index + 1) <= length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s + 8 `op_Multiply`
word_index == length /\ va_get_reg64 rRsi va_s + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 inp_b (va_get_mem_heaplet 0 va_s) + 8 `op_Multiply` word_index /\
va_get_reg64 rR15 va_s `op_Multiply` 16 <= length /\ va_get_reg64 rRcx va_s < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s) (va_get_reg64 rRdi va_s) ctx_b 24
(va_get_mem_layout va_s) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s)
(va_get_reg64 rRsi va_old) inp_b (length `op_Division` 8) (va_get_mem_layout va_s) Public /\
va_get_reg64 rRdi va_s == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s == va_get_reg64
rRcx va_old /\ (va_get_reg64 rRsi va_s - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index /\
va_get_mem_heaplet 1 va_s == va_get_mem_heaplet 1 va_old) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in va_get_reg64 rR15 va_s) ((h, word_index))) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in let va_g = (h, word_index) in let ((h:int), (word_index:nat)) = va_g in
va_QEmpty ((h, word_index))))) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 34,
"end_line": 1078,
"start_col": 0,
"start_line": 1031
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce)
//--
//-- Poly1305_iteration
val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_iteration () =
(va_Block (va_CCons (va_code_Poly1305_multiply ()) (va_CCons (va_code_Poly1305_reduce ())
(va_CNil ()))))
val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_iteration () =
(va_pbool_and (va_codegen_success_Poly1305_multiply ()) (va_pbool_and
(va_codegen_success_Poly1305_reduce ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_iteration (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_iteration ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in let (va_arg50:Prims.int) = n `op_Division` 16 in let
(va_arg49:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg48:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg48 7 va_arg49 va_arg50)
(let (va_arg47:Prims.int) = n `op_Division` 16 in let (va_arg46:Prims.int) = r1 in let
(va_arg45:Prims.int) = n in let (va_arg44:Prims.int) = va_get_reg64 rR14 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 211 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg44 va_arg45 va_arg46
va_arg47) (let (va_arg43:Prims.int) = n `op_Division` 16 in let (va_arg42:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg41:Prims.int) = n in let (va_arg40:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg40 va_arg41 va_arg42
va_arg43) (let (va_arg39:Prims.int) = n `op_Division` 8 in let (va_arg38:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg37:Prims.int) = n in let (va_arg36:Prims.int) =
va_get_reg64 rRbp va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg36 va_arg37 va_arg38
va_arg39) (let (va_arg35:Prims.int) = n `op_Division` 16 in let (va_arg34:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg33:Prims.int) = n in let (va_arg32:Prims.int) =
va_get_reg64 rR14 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg32 va_arg33 va_arg34
va_arg35) (let (va_arg31:Prims.int) = n `op_Division` 8 in let (va_arg30:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg29:Prims.int) = n in let (va_arg28:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg28 va_arg29 va_arg30
va_arg31) (let (va_arg27:Prims.int) = 5 `op_Multiply` n `op_Division` 64 in let
(va_arg26:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg25:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg25 7 va_arg26 va_arg27)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 218 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_multiply r1) (fun (va_s:va_state) (hd:int) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_reduce ()) (fun (va_s:va_state) (hh:int) -> va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 220 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 221 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(l_and (hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_s) + va_mul_nat n (va_get_reg64
rRbx va_s) + va_get_reg64 rR14 va_s) (va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p))
(va_QEmpty ((hh)))))))))))))))
val va_lemma_Poly1305_iteration : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_iteration ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp (va_mul_nat h r) ==
Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_iteration va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_iteration va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_iteration ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 180 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 201 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp (va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_iteration (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1) /\ (forall (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp
(va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_iteration : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_iteration r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_iteration ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_iteration r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_iteration (va_code_Poly1305_iteration ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_iteration (r1:nat64) : (va_quickCode int (va_code_Poly1305_iteration ())) =
(va_QProc (va_code_Poly1305_iteration ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRax]) (va_wp_Poly1305_iteration r1) (va_wpProof_Poly1305_iteration r1))
//--
//-- Poly1305_blocks_body0
val va_code_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_body0 () =
(va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Public))
(va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_CCons
(va_code_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (va_CCons
(va_code_Poly1305_iteration ()) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64
1)) (va_CNil ())))))))))))
val va_codegen_success_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_body0 () =
(va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0)
(va_op_reg64_reg64 rRsi) 0 Public)) (va_pbool_and (va_codegen_success_Mem64_lemma ())
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64
(va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_pbool_and
(va_codegen_success_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi)
(va_const_opr64 16)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Poly1305_iteration ())
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1))
(va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_body0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in let (nn:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (hp:int) = h in let (h:int) = h +
va_mul_nat (va_mul_nat nn nn) (va_get_reg64 rRcx va_s) + va_mul_nat nn
(Vale.X64.Decls.buffer64_read inp_b (word_index + 1) (va_get_mem_heaplet 0 va_s)) +
Vale.X64.Decls.buffer64_read inp_b word_index (va_get_mem_heaplet 0 va_s) in let (hq:int) = h
in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inp_b word_index
Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 0 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inp_b
(word_index + 1) Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 355 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 356 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state)
_ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 358 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hq == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat nn nn) + va_mul_nat (va_get_reg64 rRbx
va_s) nn + va_get_reg64 rR14 va_s) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 360 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration (va_get_reg64 rR12 va_s)) (fun (va_s:va_state) (h:int) -> va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 362 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 363 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1)) (fun (va_s:va_state) _ -> let
(word_index:nat) = word_index + 2 in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 366 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index) (let
(va_arg50:Prims.int) = word_index in let (va_arg49:(FStar.Seq.Base.seq Vale.X64.Memory.nat64))
= Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b in let (va_arg48:Prims.int)
= r in let (va_arg47:Prims.int) = va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let
(va_arg46:Prims.int) = Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 368 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg46 va_arg47 va_arg48
va_arg49 va_arg50) (let (va_arg45:Prims.int) = word_index - 2 in let
(va_arg44:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg43:Prims.int) = r in let (va_arg42:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let (va_arg41:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 369 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg41 va_arg42 va_arg43
va_arg44 va_arg45) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 370 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:Prims.int) = r in let (va_arg39:Prims.int) = hq - hp in let (va_arg38:Prims.int) = hp
in let (va_arg37:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg37 va_arg38 va_arg39 va_arg40)
(va_QEmpty (())))))) (va_QEmpty ((h, word_index)))))))))))))))
val va_lemma_Poly1305_blocks_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old /\ va_get_reg64 rR15 va_s0 =!= 0))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15
va_s0) /\ va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_body0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_body0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_body0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 345 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
va_get_reg64 rR15 va_s0 =!= 0 /\ (forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_rax:nat64) (va_x_rbp:nat64) (va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int)
(word_index:nat) . let va_sM = va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64
rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10 (va_upd_ok va_x_ok (va_upd_flags va_x_efl
va_s0))))))))))) in va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n ==
va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\
va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h ==
va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64
rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12
va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64
rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM ==
va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM
== va_get_reg64 rRsi va_old + va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64
/\ va_in_length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8
`op_Multiply` (word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8
`op_Multiply` word_index == va_in_length /\ va_get_reg64 rRsi va_sM + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) +
8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_sM < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM)
(va_get_reg64 rRdi va_sM) va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old /\
precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_body0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int ->
va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_body0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_body0 (va_code_Poly1305_blocks_body0
()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r
va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_body0 ())) =
(va_QProc (va_code_Poly1305_blocks_body0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64
rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks_while0
val va_code_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_while0 () =
(va_Block (va_CCons (va_While (va_cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (va_Block
(va_CCons (va_code_Poly1305_blocks_body0 ()) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_while0 () =
(va_pbool_and (va_codegen_success_Poly1305_blocks_body0 ()) (va_ttrue ())) | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_mods: Vale.X64.QuickCode.va_mods_t ->
va_old: Vale.X64.Decls.va_state ->
va_in_ctx_b: Vale.X64.Memory.buffer64 ->
va_in_h_in: Prims.int ->
va_in_inp_b: Vale.X64.Memory.buffer64 ->
va_in_length: Prims.int ->
va_in_n: Vale.X64.Decls.va_int_range 18446744073709551616 18446744073709551616 ->
va_in_p:
Vale.X64.Decls.va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819 ->
va_in_r: Prims.int ->
va_in_h: Prims.int ->
va_in_word_index: Prims.nat
-> Vale.X64.QuickCode.va_quickCode (Prims.int * Prims.nat)
(Vale.Poly1305.X64.va_code_Poly1305_blocks_while0 ()) | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.QuickCode.va_mods_t",
"Vale.X64.Decls.va_state",
"Vale.X64.Memory.buffer64",
"Prims.int",
"Vale.X64.Decls.va_int_range",
"Prims.nat",
"Vale.X64.QuickCodes.qblock",
"FStar.Pervasives.Native.tuple2",
"Prims.Cons",
"Vale.X64.Decls.va_code",
"Vale.X64.Machine_s.While",
"Vale.X64.Decls.ins",
"Vale.X64.Decls.ocmp",
"Vale.X64.QuickCodes.cmp_to_ocmp",
"Vale.X64.QuickCodes.Cmp_ne",
"Vale.X64.Decls.va_op_cmp_reg64",
"Vale.X64.Machine_s.rR15",
"Vale.X64.Decls.va_const_cmp",
"Vale.X64.QuickCodes.block",
"Vale.Poly1305.X64.va_code_Poly1305_blocks_body0",
"Prims.Nil",
"Vale.X64.Machine_s.precode",
"Vale.X64.QuickCodes.va_QBind",
"Vale.X64.QuickCodes.va_range1",
"Vale.X64.QuickCodes.va_qWhile",
"Vale.Def.Types_s.nat64",
"Vale.Poly1305.X64.va_quick_Poly1305_blocks_body0",
"Vale.X64.QuickCodes.va_QEmpty",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.QuickCodes.quickCodes",
"Vale.X64.QuickCode.quickCode",
"Prims.l_and",
"Prims.b2t",
"Vale.X64.Decls.va_get_ok",
"Prims.eq2",
"Vale.X64.Machine_s.pow2_64",
"Vale.X64.Decls.va_mul_nat",
"Prims.op_Subtraction",
"Prims.op_Multiply",
"Prims.op_Addition",
"Vale.X64.Decls.va_get_reg64",
"Vale.X64.Machine_s.rR12",
"Vale.X64.Machine_s.rR11",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rR14",
"Prims.op_LessThan",
"Prims.op_Division",
"Prims.op_Modulus",
"Vale.X64.Machine_s.rR13",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Machine_s.rRsi",
"Vale.X64.Machine_s.rRdx",
"Prims.l_imp",
"Prims.l_not",
"Prims.op_LessThanOrEqual",
"Vale.X64.Memory.buffer_addr",
"Vale.X64.Memory.vuint64",
"Vale.X64.Decls.va_get_mem_heaplet",
"Vale.X64.Machine_s.rRcx",
"Vale.X64.Decls.validDstAddrs64",
"Vale.X64.Machine_s.rRdi",
"Vale.X64.Decls.va_get_mem_layout",
"Vale.Arch.HeapTypes_s.Public",
"Vale.X64.Decls.validSrcAddrs64",
"Vale.Poly1305.Spec_s.modp",
"Vale.Poly1305.Util.poly1305_heap_blocks",
"Vale.X64.Decls.buffer64_as_seq",
"Vale.X64.Decls.vale_heap",
"Vale.X64.State.vale_state",
"Vale.X64.QuickCode.va_quickCode",
"Vale.Poly1305.X64.va_code_Poly1305_blocks_while0"
] | [] | false | false | false | false | false | let va_qcode_Poly1305_blocks_while0
(va_mods: va_mods_t)
(va_old: va_state)
(va_in_ctx_b: buffer64)
(va_in_h_in: int)
(va_in_inp_b: buffer64)
(va_in_length: int)
(va_in_n: (va_int_range 18446744073709551616 18446744073709551616))
(va_in_p:
(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819))
(va_in_r va_in_h: int)
(va_in_word_index: nat)
: (va_quickCode (int & nat) (va_code_Poly1305_blocks_while0 ())) =
| (qblock va_mods
(fun (va_s: va_state) ->
let va_old_s:va_state = va_s in
let ctx_b:buffer64 = va_in_ctx_b in
let h_in:int = va_in_h_in in
let inp_b:buffer64 = va_in_inp_b in
let length:int = va_in_length in
let n:(va_int_range 18446744073709551616 18446744073709551616) = va_in_n in
let p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) =
va_in_p
in
let r:int = va_in_r in
let h:int = va_in_h in
let word_index:nat = va_in_word_index in
va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_qWhile va_mods
(Cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0))
(fun va_g ->
let h:int =
let h, word_index = va_g in
h
in
let word_index:nat =
let h, word_index = va_g in
word_index
in
qblock va_mods
(fun (va_s: va_state) ->
va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_body0 va_old ctx_b h_in inp_b length n p r h
word_index)
(fun (va_s: va_state) va_g ->
let h, word_index = va_g in
va_QEmpty ((h, word_index)))))
(fun (va_s: va_state) va_g ->
let h:int =
let h, word_index = va_g in
h
in
let word_index:nat =
let h, word_index = va_g in
word_index
in
va_get_ok va_s /\ n == pow2_64 /\ va_mul_nat n n == va_mul_nat pow2_64 pow2_64 /\
p == (va_mul_nat n n) `op_Multiply` 4 - 5 /\
r == va_mul_nat (va_get_reg64 rR12 va_s) n + va_get_reg64 rR11 va_s /\
h ==
va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat pow2_64 pow2_64) +
va_mul_nat (va_get_reg64 rRbx va_s) pow2_64 +
va_get_reg64 rR14 va_s /\ va_get_reg64 rR11 va_s < n `op_Division` 16 /\
va_get_reg64 rR12 va_s < n `op_Division` 16 /\
(va_get_reg64 rR12 va_s) `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_s ==
va_get_reg64 rR12 va_s + (va_get_reg64 rR12 va_s) `op_Division` 4 /\
va_get_reg64 rRbp va_s < 5 /\ va_get_reg64 rRax va_s == va_get_reg64 rR12 va_s /\
va_get_reg64 rRsi va_s + 16 `op_Multiply` (va_get_reg64 rR15 va_s) ==
va_get_reg64 rRsi va_old + length /\ va_get_reg64 rRsi va_old + length < pow2_64 /\
length == va_get_reg64 rRdx va_old /\
(va_get_reg64 rR15 va_s =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= length) /\
16 `op_Multiply` (va_get_reg64 rR15 va_s) + 8 `op_Multiply` word_index == length /\
va_get_reg64 rRsi va_s + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
inp_b
(va_get_mem_heaplet 0 va_s) +
8
`op_Multiply`
word_index /\ (va_get_reg64 rR15 va_s) `op_Multiply` 16 <= length /\
va_get_reg64 rRcx va_s < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s)
(va_get_reg64 rRdi va_s)
ctx_b
24
(va_get_mem_layout va_s)
Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s)
(va_get_reg64 rRsi va_old)
inp_b
(length `op_Division` 8)
(va_get_mem_layout va_s)
Public /\ va_get_reg64 rRdi va_s == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s == va_get_reg64 rRcx va_old /\
(va_get_reg64 rRsi va_s - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp h_in)
(va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n))
r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b)
word_index /\ va_get_mem_heaplet 1 va_s == va_get_mem_heaplet 1 va_old)
(fun (va_s: va_state) va_g ->
let h:int =
let h, word_index = va_g in
h
in
let word_index:nat =
let h, word_index = va_g in
word_index
in
va_get_reg64 rR15 va_s)
((h, word_index)))
(fun (va_s: va_state) va_g ->
let h:int =
let h, word_index = va_g in
h
in
let word_index:nat =
let h, word_index = va_g in
word_index
in
let va_g = (h, word_index) in
let (h: int), (word_index: nat) = va_g in
va_QEmpty ((h, word_index))))) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_wpProof_Poly1305_blocks_body0 | val va_wpProof_Poly1305_blocks_body0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int ->
va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_body0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g)))) | val va_wpProof_Poly1305_blocks_body0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int ->
va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_body0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g)))) | let va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_body0 (va_code_Poly1305_blocks_body0
()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r
va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 1002,
"start_col": 0,
"start_line": 987
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce)
//--
//-- Poly1305_iteration
val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_iteration () =
(va_Block (va_CCons (va_code_Poly1305_multiply ()) (va_CCons (va_code_Poly1305_reduce ())
(va_CNil ()))))
val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_iteration () =
(va_pbool_and (va_codegen_success_Poly1305_multiply ()) (va_pbool_and
(va_codegen_success_Poly1305_reduce ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_iteration (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_iteration ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in let (va_arg50:Prims.int) = n `op_Division` 16 in let
(va_arg49:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg48:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg48 7 va_arg49 va_arg50)
(let (va_arg47:Prims.int) = n `op_Division` 16 in let (va_arg46:Prims.int) = r1 in let
(va_arg45:Prims.int) = n in let (va_arg44:Prims.int) = va_get_reg64 rR14 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 211 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg44 va_arg45 va_arg46
va_arg47) (let (va_arg43:Prims.int) = n `op_Division` 16 in let (va_arg42:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg41:Prims.int) = n in let (va_arg40:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg40 va_arg41 va_arg42
va_arg43) (let (va_arg39:Prims.int) = n `op_Division` 8 in let (va_arg38:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg37:Prims.int) = n in let (va_arg36:Prims.int) =
va_get_reg64 rRbp va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg36 va_arg37 va_arg38
va_arg39) (let (va_arg35:Prims.int) = n `op_Division` 16 in let (va_arg34:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg33:Prims.int) = n in let (va_arg32:Prims.int) =
va_get_reg64 rR14 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg32 va_arg33 va_arg34
va_arg35) (let (va_arg31:Prims.int) = n `op_Division` 8 in let (va_arg30:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg29:Prims.int) = n in let (va_arg28:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg28 va_arg29 va_arg30
va_arg31) (let (va_arg27:Prims.int) = 5 `op_Multiply` n `op_Division` 64 in let
(va_arg26:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg25:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg25 7 va_arg26 va_arg27)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 218 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_multiply r1) (fun (va_s:va_state) (hd:int) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_reduce ()) (fun (va_s:va_state) (hh:int) -> va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 220 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 221 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(l_and (hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_s) + va_mul_nat n (va_get_reg64
rRbx va_s) + va_get_reg64 rR14 va_s) (va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p))
(va_QEmpty ((hh)))))))))))))))
val va_lemma_Poly1305_iteration : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_iteration ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp (va_mul_nat h r) ==
Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_iteration va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_iteration va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_iteration ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 180 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 201 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp (va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_iteration (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1) /\ (forall (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp
(va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_iteration : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_iteration r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_iteration ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_iteration r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_iteration (va_code_Poly1305_iteration ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_iteration (r1:nat64) : (va_quickCode int (va_code_Poly1305_iteration ())) =
(va_QProc (va_code_Poly1305_iteration ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRax]) (va_wp_Poly1305_iteration r1) (va_wpProof_Poly1305_iteration r1))
//--
//-- Poly1305_blocks_body0
val va_code_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_body0 () =
(va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Public))
(va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_CCons
(va_code_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (va_CCons
(va_code_Poly1305_iteration ()) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64
1)) (va_CNil ())))))))))))
val va_codegen_success_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_body0 () =
(va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0)
(va_op_reg64_reg64 rRsi) 0 Public)) (va_pbool_and (va_codegen_success_Mem64_lemma ())
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64
(va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_pbool_and
(va_codegen_success_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi)
(va_const_opr64 16)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Poly1305_iteration ())
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1))
(va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_body0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in let (nn:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (hp:int) = h in let (h:int) = h +
va_mul_nat (va_mul_nat nn nn) (va_get_reg64 rRcx va_s) + va_mul_nat nn
(Vale.X64.Decls.buffer64_read inp_b (word_index + 1) (va_get_mem_heaplet 0 va_s)) +
Vale.X64.Decls.buffer64_read inp_b word_index (va_get_mem_heaplet 0 va_s) in let (hq:int) = h
in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inp_b word_index
Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 0 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inp_b
(word_index + 1) Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 355 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 356 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state)
_ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 358 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hq == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat nn nn) + va_mul_nat (va_get_reg64 rRbx
va_s) nn + va_get_reg64 rR14 va_s) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 360 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration (va_get_reg64 rR12 va_s)) (fun (va_s:va_state) (h:int) -> va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 362 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 363 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1)) (fun (va_s:va_state) _ -> let
(word_index:nat) = word_index + 2 in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 366 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index) (let
(va_arg50:Prims.int) = word_index in let (va_arg49:(FStar.Seq.Base.seq Vale.X64.Memory.nat64))
= Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b in let (va_arg48:Prims.int)
= r in let (va_arg47:Prims.int) = va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let
(va_arg46:Prims.int) = Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 368 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg46 va_arg47 va_arg48
va_arg49 va_arg50) (let (va_arg45:Prims.int) = word_index - 2 in let
(va_arg44:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg43:Prims.int) = r in let (va_arg42:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let (va_arg41:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 369 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg41 va_arg42 va_arg43
va_arg44 va_arg45) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 370 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:Prims.int) = r in let (va_arg39:Prims.int) = hq - hp in let (va_arg38:Prims.int) = hp
in let (va_arg37:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg37 va_arg38 va_arg39 va_arg40)
(va_QEmpty (())))))) (va_QEmpty ((h, word_index)))))))))))))))
val va_lemma_Poly1305_blocks_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old /\ va_get_reg64 rR15 va_s0 =!= 0))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15
va_s0) /\ va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_body0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_body0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_body0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 345 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
va_get_reg64 rR15 va_s0 =!= 0 /\ (forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_rax:nat64) (va_x_rbp:nat64) (va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int)
(word_index:nat) . let va_sM = va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64
rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10 (va_upd_ok va_x_ok (va_upd_flags va_x_efl
va_s0))))))))))) in va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n ==
va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\
va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h ==
va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64
rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12
va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64
rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM ==
va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM
== va_get_reg64 rRsi va_old + va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64
/\ va_in_length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8
`op_Multiply` (word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8
`op_Multiply` word_index == va_in_length /\ va_get_reg64 rRsi va_sM + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) +
8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_sM < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM)
(va_get_reg64 rRdi va_sM) va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old /\
precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_body0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int ->
va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_body0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g)))) | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_old: Vale.X64.Decls.va_state ->
va_in_ctx_b: Vale.X64.Memory.buffer64 ->
va_in_h_in: Prims.int ->
va_in_inp_b: Vale.X64.Memory.buffer64 ->
va_in_length: Prims.int ->
va_in_n: Vale.X64.Decls.va_int_range 18446744073709551616 18446744073709551616 ->
va_in_p:
Vale.X64.Decls.va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819 ->
va_in_r: Prims.int ->
va_in_h: Prims.int ->
va_in_word_index: Prims.nat ->
va_s0: Vale.X64.Decls.va_state ->
va_k: (_: Vale.X64.Decls.va_state -> _: (Prims.int * Prims.nat) -> Type0)
-> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * (Prims.int * Prims.nat)) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_state",
"Vale.X64.Memory.buffer64",
"Prims.int",
"Vale.X64.Decls.va_int_range",
"Prims.nat",
"FStar.Pervasives.Native.tuple2",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"FStar.Pervasives.Native.Mktuple2",
"Prims.unit",
"Vale.X64.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.X64.QuickCode.mod_t",
"Vale.X64.QuickCode.va_Mod_reg64",
"Vale.X64.Machine_s.rRsi",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Machine_s.rR9",
"Vale.X64.Machine_s.rR8",
"Vale.X64.Machine_s.rR15",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Machine_s.rR10",
"Vale.X64.QuickCode.va_Mod_ok",
"Vale.X64.QuickCode.va_Mod_flags",
"Prims.Nil",
"Prims._assert",
"Vale.X64.Decls.va_state_eq",
"Vale.X64.Decls.va_update_reg64",
"Vale.X64.Decls.va_update_ok",
"Vale.X64.Decls.va_update_flags",
"Vale.X64.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple4",
"Vale.X64.State.vale_state",
"Vale.Poly1305.X64.va_lemma_Poly1305_blocks_body0",
"Vale.Poly1305.X64.va_code_Poly1305_blocks_body0"
] | [] | false | false | false | false | false | let va_wpProof_Poly1305_blocks_body0
va_old
va_in_ctx_b
va_in_h_in
va_in_inp_b
va_in_length
va_in_n
va_in_p
va_in_r
va_in_h
va_in_word_index
va_s0
va_k
=
| let va_sM, va_f0, h, word_index =
va_lemma_Poly1305_blocks_body0 (va_code_Poly1305_blocks_body0 ()) va_s0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index
in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM
(va_update_reg64 rRsi
va_sM
(va_update_reg64 rRdx
va_sM
(va_update_reg64 rRbx
va_sM
(va_update_reg64 rRbp
va_sM
(va_update_reg64 rRax
va_sM
(va_update_reg64 rR9
va_sM
(va_update_reg64 rR8
va_sM
(va_update_reg64 rR15
va_sM
(va_update_reg64 rR14
va_sM
(va_update_reg64 rR10
va_sM
(va_update_ok va_sM (va_update_flags va_sM va_s0))))))
)))))));
va_lemma_norm_mods ([
va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax;
va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10;
va_Mod_ok; va_Mod_flags
])
va_sM
va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_codegen_success_Poly1305_reduce_last | val va_codegen_success_Poly1305_reduce_last : va_dummy:unit -> Tot va_pbool | val va_codegen_success_Poly1305_reduce_last : va_dummy:unit -> Tot va_pbool | let va_codegen_success_Poly1305_reduce_last () =
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rR14))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_const_opr64 5))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rRax) (va_const_opr64 1))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0))
(va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRax)) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64
rRax)) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64
rR8)) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR9)) (va_ttrue ())))))))))))))))))) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 40,
"end_line": 2068,
"start_col": 0,
"start_line": 2050
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce)
//--
//-- Poly1305_iteration
val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_iteration () =
(va_Block (va_CCons (va_code_Poly1305_multiply ()) (va_CCons (va_code_Poly1305_reduce ())
(va_CNil ()))))
val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_iteration () =
(va_pbool_and (va_codegen_success_Poly1305_multiply ()) (va_pbool_and
(va_codegen_success_Poly1305_reduce ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_iteration (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_iteration ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in let (va_arg50:Prims.int) = n `op_Division` 16 in let
(va_arg49:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg48:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg48 7 va_arg49 va_arg50)
(let (va_arg47:Prims.int) = n `op_Division` 16 in let (va_arg46:Prims.int) = r1 in let
(va_arg45:Prims.int) = n in let (va_arg44:Prims.int) = va_get_reg64 rR14 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 211 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg44 va_arg45 va_arg46
va_arg47) (let (va_arg43:Prims.int) = n `op_Division` 16 in let (va_arg42:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg41:Prims.int) = n in let (va_arg40:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg40 va_arg41 va_arg42
va_arg43) (let (va_arg39:Prims.int) = n `op_Division` 8 in let (va_arg38:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg37:Prims.int) = n in let (va_arg36:Prims.int) =
va_get_reg64 rRbp va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg36 va_arg37 va_arg38
va_arg39) (let (va_arg35:Prims.int) = n `op_Division` 16 in let (va_arg34:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg33:Prims.int) = n in let (va_arg32:Prims.int) =
va_get_reg64 rR14 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg32 va_arg33 va_arg34
va_arg35) (let (va_arg31:Prims.int) = n `op_Division` 8 in let (va_arg30:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg29:Prims.int) = n in let (va_arg28:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg28 va_arg29 va_arg30
va_arg31) (let (va_arg27:Prims.int) = 5 `op_Multiply` n `op_Division` 64 in let
(va_arg26:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg25:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg25 7 va_arg26 va_arg27)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 218 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_multiply r1) (fun (va_s:va_state) (hd:int) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_reduce ()) (fun (va_s:va_state) (hh:int) -> va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 220 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 221 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(l_and (hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_s) + va_mul_nat n (va_get_reg64
rRbx va_s) + va_get_reg64 rR14 va_s) (va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p))
(va_QEmpty ((hh)))))))))))))))
val va_lemma_Poly1305_iteration : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_iteration ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp (va_mul_nat h r) ==
Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_iteration va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_iteration va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_iteration ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 180 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 201 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp (va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_iteration (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1) /\ (forall (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp
(va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_iteration : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_iteration r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_iteration ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_iteration r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_iteration (va_code_Poly1305_iteration ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_iteration (r1:nat64) : (va_quickCode int (va_code_Poly1305_iteration ())) =
(va_QProc (va_code_Poly1305_iteration ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRax]) (va_wp_Poly1305_iteration r1) (va_wpProof_Poly1305_iteration r1))
//--
//-- Poly1305_blocks_body0
val va_code_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_body0 () =
(va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Public))
(va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_CCons
(va_code_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (va_CCons
(va_code_Poly1305_iteration ()) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64
1)) (va_CNil ())))))))))))
val va_codegen_success_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_body0 () =
(va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0)
(va_op_reg64_reg64 rRsi) 0 Public)) (va_pbool_and (va_codegen_success_Mem64_lemma ())
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64
(va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_pbool_and
(va_codegen_success_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi)
(va_const_opr64 16)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Poly1305_iteration ())
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1))
(va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_body0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in let (nn:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (hp:int) = h in let (h:int) = h +
va_mul_nat (va_mul_nat nn nn) (va_get_reg64 rRcx va_s) + va_mul_nat nn
(Vale.X64.Decls.buffer64_read inp_b (word_index + 1) (va_get_mem_heaplet 0 va_s)) +
Vale.X64.Decls.buffer64_read inp_b word_index (va_get_mem_heaplet 0 va_s) in let (hq:int) = h
in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inp_b word_index
Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 0 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inp_b
(word_index + 1) Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 355 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 356 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state)
_ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 358 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hq == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat nn nn) + va_mul_nat (va_get_reg64 rRbx
va_s) nn + va_get_reg64 rR14 va_s) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 360 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration (va_get_reg64 rR12 va_s)) (fun (va_s:va_state) (h:int) -> va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 362 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 363 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1)) (fun (va_s:va_state) _ -> let
(word_index:nat) = word_index + 2 in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 366 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index) (let
(va_arg50:Prims.int) = word_index in let (va_arg49:(FStar.Seq.Base.seq Vale.X64.Memory.nat64))
= Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b in let (va_arg48:Prims.int)
= r in let (va_arg47:Prims.int) = va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let
(va_arg46:Prims.int) = Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 368 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg46 va_arg47 va_arg48
va_arg49 va_arg50) (let (va_arg45:Prims.int) = word_index - 2 in let
(va_arg44:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg43:Prims.int) = r in let (va_arg42:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let (va_arg41:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 369 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg41 va_arg42 va_arg43
va_arg44 va_arg45) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 370 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:Prims.int) = r in let (va_arg39:Prims.int) = hq - hp in let (va_arg38:Prims.int) = hp
in let (va_arg37:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg37 va_arg38 va_arg39 va_arg40)
(va_QEmpty (())))))) (va_QEmpty ((h, word_index)))))))))))))))
val va_lemma_Poly1305_blocks_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old /\ va_get_reg64 rR15 va_s0 =!= 0))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15
va_s0) /\ va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_body0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_body0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_body0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 345 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
va_get_reg64 rR15 va_s0 =!= 0 /\ (forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_rax:nat64) (va_x_rbp:nat64) (va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int)
(word_index:nat) . let va_sM = va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64
rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10 (va_upd_ok va_x_ok (va_upd_flags va_x_efl
va_s0))))))))))) in va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n ==
va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\
va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h ==
va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64
rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12
va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64
rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM ==
va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM
== va_get_reg64 rRsi va_old + va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64
/\ va_in_length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8
`op_Multiply` (word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8
`op_Multiply` word_index == va_in_length /\ va_get_reg64 rRsi va_sM + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) +
8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_sM < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM)
(va_get_reg64 rRdi va_sM) va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old /\
precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_body0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int ->
va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_body0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_body0 (va_code_Poly1305_blocks_body0
()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r
va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_body0 ())) =
(va_QProc (va_code_Poly1305_blocks_body0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64
rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks_while0
val va_code_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_while0 () =
(va_Block (va_CCons (va_While (va_cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (va_Block
(va_CCons (va_code_Poly1305_blocks_body0 ()) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_while0 () =
(va_pbool_and (va_codegen_success_Poly1305_blocks_body0 ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_while0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_qWhile va_mods (Cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (fun va_g -> let (h:int) =
let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g in
word_index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_body0 va_old ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QEmpty ((h, word_index))))) (fun
(va_s:va_state) va_g -> let (h:int) = let (h, word_index) = va_g in h in let (word_index:nat) =
let (h, word_index) = va_g in word_index in va_get_ok va_s /\ n == pow2_64 /\ va_mul_nat n n ==
va_mul_nat pow2_64 pow2_64 /\ p == va_mul_nat n n `op_Multiply` 4 - 5 /\ r == va_mul_nat
(va_get_reg64 rR12 va_s) n + va_get_reg64 rR11 va_s /\ h == va_mul_nat (va_get_reg64 rRbp va_s)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s) pow2_64 + va_get_reg64 rR14
va_s /\ va_get_reg64 rR11 va_s < n `op_Division` 16 /\ va_get_reg64 rR12 va_s < n `op_Division`
16 /\ va_get_reg64 rR12 va_s `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s == va_get_reg64 rR12
va_s + va_get_reg64 rR12 va_s `op_Division` 4 /\ va_get_reg64 rRbp va_s < 5 /\ va_get_reg64
rRax va_s == va_get_reg64 rR12 va_s /\ va_get_reg64 rRsi va_s + 16 `op_Multiply` va_get_reg64
rR15 va_s == va_get_reg64 rRsi va_old + length /\ va_get_reg64 rRsi va_old + length < pow2_64
/\ length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s =!= 0 ==> 8 `op_Multiply`
(word_index + 1) <= length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s + 8 `op_Multiply`
word_index == length /\ va_get_reg64 rRsi va_s + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 inp_b (va_get_mem_heaplet 0 va_s) + 8 `op_Multiply` word_index /\
va_get_reg64 rR15 va_s `op_Multiply` 16 <= length /\ va_get_reg64 rRcx va_s < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s) (va_get_reg64 rRdi va_s) ctx_b 24
(va_get_mem_layout va_s) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s)
(va_get_reg64 rRsi va_old) inp_b (length `op_Division` 8) (va_get_mem_layout va_s) Public /\
va_get_reg64 rRdi va_s == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s == va_get_reg64
rRcx va_old /\ (va_get_reg64 rRsi va_s - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index /\
va_get_mem_heaplet 1 va_s == va_get_mem_heaplet 1 va_old) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in va_get_reg64 rR15 va_s) ((h, word_index))) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in let va_g = (h, word_index) in let ((h:int), (word_index:nat)) = va_g in
va_QEmpty ((h, word_index)))))
val va_lemma_Poly1305_blocks_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_while0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) /\ va_state_eq va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_while0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_while0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_while0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(~(va_get_reg64 rR15 va_sM =!= 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
(forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r14:nat64)
(va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_rax:nat64) (va_x_rbp:nat64)
(va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int) (word_index:nat) . let va_sM =
va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_ok va_x_ok (va_upd_flags va_x_efl va_s0))))))))))) in va_get_ok va_sM /\ va_in_n ==
pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat
va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n
+ va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64
pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\
va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM ==
va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM <
5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16
`op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ 16
`op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length /\
va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b
(va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM
`op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_while0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int
-> va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_while0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length
va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_while0
(va_code_Poly1305_blocks_while0 ()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_while0 ())) =
(va_QProc (va_code_Poly1305_blocks_while0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx;
va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks
val va_code_Poly1305_blocks : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks () =
(va_Block (va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi) 24 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRdi) 32
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rR14) (va_op_reg_opr64_reg64 rRdi) 0 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRdi) 8
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rRbp) (va_op_reg_opr64_reg64 rRdi) 16 Public) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rR12) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rR13)
(va_const_shift_amt64 2)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rR13)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Poly1305_blocks_while0 ()) (va_CCons
(va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR14) 0 Public) (va_CCons (va_code_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRbx) 8
Public) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64
rRdi) (va_op_reg_opr64_reg64 rRbp) 16 Public) (va_CNil ())))))))))))))))))
val va_codegen_success_Poly1305_blocks : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks () =
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx))
(va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdi) 24 Public) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13)
(va_op_reg_opr64_reg64 rRdi) 32 Public) (va_pbool_and (va_codegen_success_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR14) (va_op_reg_opr64_reg64 rRdi) 0
Public) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRdi) 8 Public) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbp)
(va_op_reg_opr64_reg64 rRdi) 16 Public) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Shr64
(va_op_dst_opr64_reg64 rR13) (va_const_shift_amt64 2)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_pbool_and (va_codegen_success_Add64
(va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rR12)) (va_pbool_and
(va_codegen_success_Poly1305_blocks_while0 ()) (va_pbool_and (va_codegen_success_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR14) 0
Public) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRbx) 8 Public) (va_pbool_and
(va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbp) 16 Public) (va_ttrue ()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks (va_mods:va_mods_t) (r:int) (h_in:int) (ctx_b:buffer64)
(inp_b:buffer64) : (va_quickCode (int) (va_code_Poly1305_blocks ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 285 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (let (length:int) = va_get_reg64 rRdx
va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 289 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 292 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 294 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi) 24 Public ctx_b 3) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 295 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13)
(va_op_reg_opr64_reg64 rRdi) 32 Public ctx_b 4) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 297 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR14)
(va_op_reg_opr64_reg64 rRdi) 0 Public ctx_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 298 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbx)
(va_op_reg_opr64_reg64 rRdi) 8 Public ctx_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 299 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbp)
(va_op_reg_opr64_reg64 rRdi) 16 Public ctx_b 2) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 301 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR13) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 303 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 304 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rR12)) (fun (va_s:va_state) _
-> let (h:int) = h_in in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 307 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) 0) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 309 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg39:Prims.int) = r in let (va_arg38:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n) in let (va_arg37:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 310 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg37 va_arg38 va_arg39
va_arg40 0) (va_QEmpty (())))) (let (word_index:nat) = 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 315 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_while0 va_old_s ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 374 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR14) 0 Public ctx_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 375 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbx) 8 Public ctx_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 376 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbp) 16 Public ctx_b 2) (va_QEmpty ((h)))))))))))))))))))))
val va_lemma_Poly1305_blocks : va_b0:va_code -> va_s0:va_state -> r:int -> h_in:int ->
ctx_b:buffer64 -> inp_b:buffer64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64 rRdx va_s0 `op_Modulus` 16 == 0 /\
va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 < pow2_64 /\ Vale.X64.Decls.validDstAddrs64
(va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) ctx_b 24 (va_get_mem_layout va_s0)
Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0)
inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout va_s0) Public /\ (let h0_in
= Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_s0) in let h1_in =
Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_s0) in let h2_in =
Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_s0) in let r0_in =
Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_s0) in let r1_in =
Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_s0) in h_in == va_mul_nat h2_in
(va_mul_nat n n) + va_mul_nat h1_in n + h0_in /\ r == va_mul_nat r1_in n + r0_in /\ r0_in < n
`op_Division` 16 /\ r1_in < n `op_Division` 16 /\ r1_in `op_Modulus` 4 == 0 /\ h2_in < 5 /\
va_get_reg64 rRcx va_s0 < 2))))
(ensures (fun (va_sM, va_fM, h) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64
rRbp va_sM < 5 /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64
rRdi va_sM) ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0
`op_Division` 8) (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.modifies_buffer_specific
ctx_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM) 0 2 /\ va_get_reg64 rR14 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbx va_sM
== Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbp va_sM
== Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR11 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR12 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR13 va_sM
== va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRsi va_sM
== va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRcx va_sM == va_get_reg64
rRcx va_s0 /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 /\ (let r0_in =
Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) in let r1_in =
Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) in h == va_mul_nat
(va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM)
pow2_64 + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0 `op_Division` 8))) /\ va_state_eq
va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rRax va_sM (va_update_reg64 rRbp 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_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx 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_Poly1305_blocks va_b0 va_s0 r h_in ctx_b inp_b =
let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64
rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rRdx; va_Mod_reg64 rRsi; va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_Poly1305_blocks va_mods r h_in ctx_b inp_b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let h = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in label
va_range1
"***** POSTCONDITION NOT MET AT line 264 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 265 column 66 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) ctx_b 24
(va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 266 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_s0) inp_b
(va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 267 column 65 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific ctx_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet
1 va_sM) 0 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 268 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR14 va_sM == Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 269 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 270 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM == Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 271 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 272 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM == Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 273 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 274 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 277 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 278 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 280 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) in label
va_range1
"***** POSTCONDITION NOT MET AT line 281 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) in label
va_range1
"***** POSTCONDITION NOT MET AT line 282 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 283 column 118 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0
`op_Division` 8)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_ok; va_Mod_mem]) va_sM va_s0;
let h = va_g in
(va_sM, va_fM, h)
[@ va_qattr]
let va_wp_Poly1305_blocks (r:int) (h_in:int) (ctx_b:buffer64) (inp_b:buffer64) (va_s0:va_state)
(va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64
rRdx va_s0 `op_Modulus` 16 == 0 /\ va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 < pow2_64
/\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) ctx_b
24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0
va_s0) (va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8)
(va_get_mem_layout va_s0) Public /\ (let h0_in = Vale.X64.Decls.buffer64_read ctx_b 0
(va_get_mem_heaplet 1 va_s0) in let h1_in = Vale.X64.Decls.buffer64_read ctx_b 1
(va_get_mem_heaplet 1 va_s0) in let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2
(va_get_mem_heaplet 1 va_s0) in let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3
(va_get_mem_heaplet 1 va_s0) in let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4
(va_get_mem_heaplet 1 va_s0) in h_in == va_mul_nat h2_in (va_mul_nat n n) + va_mul_nat h1_in n
+ h0_in /\ r == va_mul_nat r1_in n + r0_in /\ r0_in < n `op_Division` 16 /\ r1_in < n
`op_Division` 16 /\ r1_in `op_Modulus` 4 == 0 /\ h2_in < 5 /\ va_get_reg64 rRcx va_s0 < 2)) /\
(forall (va_x_mem:vale_heap) (va_x_rsi:nat64) (va_x_rdx:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_r10:nat64) (va_x_r11:nat64) (va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64)
(va_x_rbx:nat64) (va_x_rbp:nat64) (va_x_rax:nat64) (va_x_r15:nat64) (va_x_efl:Vale.X64.Flags.t)
(va_x_heap1:vale_heap) (h:int) . let va_sM = va_upd_mem_heaplet 1 va_x_heap1 (va_upd_flags
va_x_efl (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRbp va_x_rbp
(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_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRsi va_x_rsi (va_upd_mem va_x_mem va_s0))))))))))))))) in va_get_ok va_sM /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64 rRbp va_sM < 5 /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) ctx_b 24
(va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM)
(va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout
va_sM) Public /\ Vale.X64.Decls.modifies_buffer_specific ctx_b (va_get_mem_heaplet 1 va_s0)
(va_get_mem_heaplet 1 va_sM) 0 2 /\ va_get_reg64 rR14 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 0 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbx va_sM == Vale.X64.Decls.buffer64_read
ctx_b 1 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbp va_sM == Vale.X64.Decls.buffer64_read
ctx_b 2 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 3 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR12 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 4 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM +
va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 +
va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0 /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_s0 /\ (let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3
(va_get_mem_heaplet 1 va_sM) in let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4
(va_get_mem_heaplet 1 va_sM) in h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64
pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0
`op_Division` 8))) ==> va_k va_sM ((h))))
val va_wpProof_Poly1305_blocks : r:int -> h_in:int -> ctx_b:buffer64 -> inp_b:buffer64 ->
va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks r h_in ctx_b inp_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks ())
([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi;
va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks r h_in ctx_b inp_b va_s0 va_k =
let (va_sM, va_f0, h) = va_lemma_Poly1305_blocks (va_code_Poly1305_blocks ()) va_s0 r h_in ctx_b
inp_b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM (va_update_reg64
rR15 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRbp 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_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx 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_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_mem]) va_sM va_s0;
let va_g = (h) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks (r:int) (h_in:int) (ctx_b:buffer64) (inp_b:buffer64) : (va_quickCode
int (va_code_Poly1305_blocks ())) =
(va_QProc (va_code_Poly1305_blocks ()) ([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15;
va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_mem]) (va_wp_Poly1305_blocks r h_in ctx_b inp_b)
(va_wpProof_Poly1305_blocks r h_in ctx_b inp_b))
//--
//-- Poly1305_last_block
val va_code_Poly1305_last_block : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_last_block () =
(va_Block (va_CCons (va_IfElse (va_cmp_lt (va_op_cmp_reg64 rR15) (va_const_cmp 8)) (va_Block
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_CCons
(va_code_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_CCons (va_code_Shl64
(va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Sub64
(va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ())))))))))))))))) (va_Block
(va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx)
(va_op_opr64_reg64 rR15)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64
8)) (va_CCons (va_code_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_CCons (va_code_Shl64
(va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (va_CCons (va_Block (va_CNil ()))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))))))))))) (va_CCons
(va_code_Poly1305_iteration ()) (va_CNil ()))))
val va_codegen_success_Poly1305_last_block : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_last_block () =
(va_pbool_and (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx)
(va_op_opr64_reg64 rR15)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRcx)
(va_const_shift_amt64 3)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx)
(va_const_opr64 1)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRdx)
(va_op_shift_amt64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRcx) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64
rRcx) (va_const_opr64 1)) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9)
(va_const_opr64 0)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_pbool_and
(va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 8)) (va_pbool_and
(va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_pbool_and
(va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64
rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRdx)) (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_const_opr64 0))))))))))))))))))))))))))))) (va_pbool_and
(va_codegen_success_Poly1305_iteration ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_last_block (va_mods:va_mods_t) : (va_quickCode unit
(va_code_Poly1305_last_block ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r1:nat64) = va_get_reg64 rRax va_s in let
(r:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s) r1 in
let (hBlocks:Prims.int) = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s) (va_get_reg64 rRbx va_s)) (va_get_reg64 rRbp va_s) in let
(inpLast:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s)
(va_get_reg64 rR9 va_s) in let (padLast:Prims.pos) = Prims.pow2 (va_get_reg64 rR15 va_s
`op_Multiply` 8) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 409 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_qIf va_mods (Cmp_lt (va_op_cmp_reg64 rR15) (va_const_cmp 8)) (qblock va_mods (fun
(va_s:va_state) -> let (va_arg78:Vale.Def.Types_s.nat64) = va_get_reg64 rR15 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 410 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_shift_power2 va_arg78) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 412 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 413 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 414 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (fun
(va_s:va_state) _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 415 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdx va_s == padLast) (let (va_arg77:Vale.Def.Types_s.nat64) = va_get_reg64 rR15
va_s in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 417 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_and_mod va_arg76 va_arg77) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 419 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(padLast == Vale.Poly1305.Math.shift_left64 1 (Vale.Poly1305.Math.shift_left64 (va_get_reg64
rR15 va_s) 3)) (let (va_arg75:Prims.int) = Prims.pow2 (va_get_reg64 rR15 va_s `op_Multiply` 8)
in let (va_arg74:Prims.int) = va_get_reg64 rR15 va_s in let (va_arg73:Vale.Def.Types_s.nat64) =
va_get_reg64 rR9 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 420 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mod_power2_lo va_arg72 va_arg73 va_arg74 va_arg75)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 421 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 422 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 425 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR8 va_s == va_get_reg64 rR8 va_old_s `op_Modulus` padLast) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 426 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) == inpLast
`op_Modulus` padLast) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 429 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 430 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 431 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 433 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 434 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 435 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QEmpty
(())))))))))))))))))))))))) (qblock va_mods (fun (va_s:va_state) -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 437 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_s - 8 >= 0 /\ va_get_reg64 rR15 va_s - 8 <= 255) (fun _ -> let
(nExtra8:nat8) = va_get_reg64 rR15 va_s - 8 in let (va_arg85:Vale.Def.Types_s.nat64) = nExtra8
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_shift_power2 va_arg85) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 441 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 442 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 443 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (fun
(va_s:va_state) _ -> va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 445 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(padLast == Vale.Poly1305.Math.lowerUpper128 0 (va_get_reg64 rRdx va_s)) (let
(va_arg84:Prims.nat) = 8 `op_Multiply` nExtra8 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 446 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_power2_add64 va_arg84) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 447 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (())))) (let
(va_arg83:Vale.Def.Types_s.nat64) = nExtra8 in let (va_arg82:Vale.Def.Types_s.nat64) =
va_get_reg64 rR9 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 451 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_and_mod va_arg82 va_arg83) (va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 452 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Prims.pow2 (8 `op_Multiply` nExtra8) >= 0 /\ Prims.pow2 (8 `op_Multiply` nExtra8) <=
18446744073709551615) (fun _ -> let (va_arg81:Vale.Def.Types_s.nat64) = Prims.pow2 (8
`op_Multiply` nExtra8) in let (va_arg80:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let
(va_arg79:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 452 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mod_hi va_arg79 va_arg80 va_arg81) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 453 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 454 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 455 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ ->
va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 456 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) == inpLast
`op_Modulus` padLast) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 459 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 460 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 461 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 463 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 464 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 465 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QEmpty
(()))))))))))))))))))))))))) (fun (va_s:va_state) va_g -> let (h:int) = hBlocks + inpLast
`op_Modulus` padLast + padLast in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 469 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx
va_s) n + va_get_reg64 rR14 va_s) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 469 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper192_reveal ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 469 column 93 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (())))) (va_qAssertBy
va_range1
"***** PRECONDITION NOT MET AT line 470 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(r == va_mul_nat r1 n + va_get_reg64 rR11 va_s) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 470 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (()))) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 471 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration r1) (fun (va_s:va_state) (hLast:int) -> va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 472 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hLast == Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14
va_s) (va_get_reg64 rRbx va_s)) (va_get_reg64 rRbp va_s)) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 472 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper192_reveal ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 472 column 111 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (())))) (let
(va_arg71:Prims.int) = r in let (va_arg70:Prims.int) = inpLast `op_Modulus` padLast + padLast
in let (va_arg69:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 473 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg69 hBlocks va_arg70 va_arg71)
(va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 474 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp ((Vale.Poly1305.Spec_s.modp
hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply` r)) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 474 column 90 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_QEmpty (()))) (va_QEmpty (()))))))))))
val va_lemma_Poly1305_last_block : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Poly1305_last_block ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in
va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n
`op_Division` 16 /\ r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division`
4 /\ (1 <= va_get_reg64 rR15 va_s0 /\ va_get_reg64 rR15 va_s0 < 16))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in
va_get_reg64 rRbp va_sM < 5 /\ (let padLast = Prims.pow2 (va_get_reg64 rR15 va_sM `op_Multiply`
8) in let hLast = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM)) (va_get_reg64 rRbp va_sM) in
Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp ((Vale.Poly1305.Spec_s.modp
hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply` r))) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_last_block va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_last_block va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_last_block ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 380 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in label
va_range1
"***** POSTCONDITION NOT MET AT line 402 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let padLast = Prims.pow2 (va_get_reg64 rR15 va_sM `op_Multiply` 8) in label va_range1
"***** POSTCONDITION NOT MET AT line 404 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let hLast = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64
rR14 va_sM) (va_get_reg64 rRbx va_sM)) (va_get_reg64 rRbp va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 405 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp ((Vale.Poly1305.Spec_s.modp
hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply` r)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Poly1305_last_block (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in
va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n
`op_Division` 16 /\ r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division`
4 /\ (1 <= va_get_reg64 rR15 va_s0 /\ va_get_reg64 rR15 va_s0 < 16)) /\ (forall
(va_x_rax:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64) (va_x_efl:Vale.X64.Flags.t)
. let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax
va_s0))))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r1:nat64) = va_get_reg64 rRax va_s0 in let
(r:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in
let (hBlocks:Prims.int) = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let
(inpLast:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0)
(va_get_reg64 rR9 va_s0) in va_get_reg64 rRbp va_sM < 5 /\ (let padLast = Prims.pow2
(va_get_reg64 rR15 va_sM `op_Multiply` 8) in let hLast = Vale.Poly1305.Math.lowerUpper192
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM))
(va_get_reg64 rRbp va_sM) in Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp
((Vale.Poly1305.Spec_s.modp hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply`
r))) ==> va_k va_sM (())))
val va_wpProof_Poly1305_last_block : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_last_block va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_last_block ())
([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10;
va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_last_block va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Poly1305_last_block (va_code_Poly1305_last_block ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_last_block () : (va_quickCode unit (va_code_Poly1305_last_block ())) =
(va_QProc (va_code_Poly1305_last_block ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Poly1305_last_block va_wpProof_Poly1305_last_block)
//--
//-- Poly1305_reduce_last
val va_code_Poly1305_reduce_last : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce_last () =
(va_Block (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rR14))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_const_opr64 5)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Shr64
(va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Sub64Wrap
(va_op_dst_opr64_reg64 rRax) (va_const_opr64 1)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Sub64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Add64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Add64
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_CNil ())))))))))))))))))))
val va_codegen_success_Poly1305_reduce_last : va_dummy:unit -> Tot va_pbool | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.X64.Decls.va_pbool | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.X64.Decls.va_pbool_and",
"Vale.X64.InsBasic.va_codegen_success_Mov64",
"Vale.X64.Decls.va_op_dst_opr64_reg64",
"Vale.X64.Machine_s.rR8",
"Vale.X64.Decls.va_op_opr64_reg64",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Machine_s.rR9",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rR10",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.InsBasic.va_codegen_success_Add64Wrap",
"Vale.X64.Decls.va_const_opr64",
"Vale.X64.InsBasic.va_codegen_success_Adc64Wrap",
"Vale.X64.InsBasic.va_codegen_success_Shr64",
"Vale.X64.Decls.va_const_shift_amt64",
"Vale.X64.Machine_s.rRax",
"Vale.X64.InsBasic.va_codegen_success_Sub64Wrap",
"Vale.X64.InsBasic.va_codegen_success_And64",
"Vale.X64.InsBasic.va_codegen_success_Add64",
"Vale.X64.Decls.va_ttrue",
"Vale.X64.Decls.va_pbool"
] | [] | false | false | false | true | false | let va_codegen_success_Poly1305_reduce_last () =
| (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rR14))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10)
(va_op_opr64_reg64 rRbp))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8)
(va_const_opr64 5))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR9)
(va_const_opr64 0))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10)
(va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rRax
)
(va_const_opr64 1))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR14
)
(va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64
rRbx)
(va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax)
(va_const_opr64 0))
(va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64
rRax)
(va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64
rR8)
(va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64
rR9)
(va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Add64 (
va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rR8))
(va_pbool_and (va_codegen_success_Add64
(va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR9))
(va_ttrue ())))))))))))))))))) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_lemma_Poly1305_iteration | val va_lemma_Poly1305_iteration : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_iteration ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp (va_mul_nat h r) ==
Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) | val va_lemma_Poly1305_iteration : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_iteration ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp (va_mul_nat h r) ==
Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) | let va_lemma_Poly1305_iteration va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_iteration va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_iteration ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 180 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 201 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp (va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 20,
"end_line": 597,
"start_col": 0,
"start_line": 569
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce)
//--
//-- Poly1305_iteration
val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_iteration () =
(va_Block (va_CCons (va_code_Poly1305_multiply ()) (va_CCons (va_code_Poly1305_reduce ())
(va_CNil ()))))
val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_iteration () =
(va_pbool_and (va_codegen_success_Poly1305_multiply ()) (va_pbool_and
(va_codegen_success_Poly1305_reduce ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_iteration (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_iteration ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in let (va_arg50:Prims.int) = n `op_Division` 16 in let
(va_arg49:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg48:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg48 7 va_arg49 va_arg50)
(let (va_arg47:Prims.int) = n `op_Division` 16 in let (va_arg46:Prims.int) = r1 in let
(va_arg45:Prims.int) = n in let (va_arg44:Prims.int) = va_get_reg64 rR14 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 211 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg44 va_arg45 va_arg46
va_arg47) (let (va_arg43:Prims.int) = n `op_Division` 16 in let (va_arg42:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg41:Prims.int) = n in let (va_arg40:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg40 va_arg41 va_arg42
va_arg43) (let (va_arg39:Prims.int) = n `op_Division` 8 in let (va_arg38:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg37:Prims.int) = n in let (va_arg36:Prims.int) =
va_get_reg64 rRbp va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg36 va_arg37 va_arg38
va_arg39) (let (va_arg35:Prims.int) = n `op_Division` 16 in let (va_arg34:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg33:Prims.int) = n in let (va_arg32:Prims.int) =
va_get_reg64 rR14 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg32 va_arg33 va_arg34
va_arg35) (let (va_arg31:Prims.int) = n `op_Division` 8 in let (va_arg30:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg29:Prims.int) = n in let (va_arg28:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg28 va_arg29 va_arg30
va_arg31) (let (va_arg27:Prims.int) = 5 `op_Multiply` n `op_Division` 64 in let
(va_arg26:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg25:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg25 7 va_arg26 va_arg27)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 218 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_multiply r1) (fun (va_s:va_state) (hd:int) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_reduce ()) (fun (va_s:va_state) (hh:int) -> va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 220 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 221 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(l_and (hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_s) + va_mul_nat n (va_get_reg64
rRbx va_s) + va_get_reg64 rR14 va_s) (va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p))
(va_QEmpty ((hh)))))))))))))))
val va_lemma_Poly1305_iteration : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_iteration ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp (va_mul_nat h r) ==
Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok 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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"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 -> r1: Vale.X64.Memory.nat64
-> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.int) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_code",
"Vale.X64.Decls.va_state",
"Vale.X64.Memory.nat64",
"Vale.X64.QuickCodes.fuel",
"Prims.int",
"FStar.Pervasives.Native.Mktuple3",
"Vale.X64.Decls.va_fuel",
"Prims.unit",
"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_reg64",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Machine_s.rR10",
"Vale.X64.Machine_s.rR9",
"Vale.X64.Machine_s.rR8",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Machine_s.rRax",
"Vale.X64.QuickCode.va_Mod_ok",
"Prims.Nil",
"FStar.Pervasives.assert_norm",
"Prims.eq2",
"Prims.list",
"Vale.X64.QuickCode.__proj__QProc__item__mods",
"Vale.Poly1305.X64.va_code_Poly1305_iteration",
"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",
"Prims.op_Addition",
"Vale.X64.Decls.va_mul_nat",
"Vale.X64.Decls.va_get_reg64",
"Vale.Poly1305.Spec_s.modp",
"Prims.op_LessThan",
"Vale.X64.Decls.va_int_range",
"Vale.X64.Machine_s.rR11",
"Prims.op_Subtraction",
"Prims.op_Multiply",
"Vale.X64.QuickCode.quickCode",
"Vale.Poly1305.X64.va_qcode_Poly1305_iteration"
] | [] | false | false | false | false | false | let va_lemma_Poly1305_iteration va_b0 va_s0 r1 =
| let va_mods:va_mods_t =
[
va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10;
va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok
]
in
let va_qc = va_qcode_Poly1305_iteration va_mods r1 in
let va_sM, va_fM, va_g =
va_wp_sound_code_norm (va_code_Poly1305_iteration ())
va_qc
va_s0
(fun va_s0 va_sM va_g ->
let hh = va_g in
label va_range1
"***** POSTCONDITION NOT MET AT line 180 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\
(let n:(va_int_range 18446744073709551616 18446744073709551616) = 18446744073709551616 in
let p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) =
(va_mul_nat n n) `op_Multiply` 4 - 5
in
let r:(va_int_range 0 340282366920938463463374607431768211455) =
va_mul_nat r1 n + va_get_reg64 rR11 va_s0
in
let h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895) =
va_mul_nat (va_get_reg64 rRbp va_s0) (va_mul_nat n n) +
va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0
in
label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh ==
va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) +
va_get_reg64 rR14 va_sM) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 201 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp (va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5)))
in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([
va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10;
va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok
])
va_sM
va_s0;
let hh = va_g in
(va_sM, va_fM, hh) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_code_Poly1305_last_block | val va_code_Poly1305_last_block : va_dummy:unit -> Tot va_code | val va_code_Poly1305_last_block : va_dummy:unit -> Tot va_code | let va_code_Poly1305_last_block () =
(va_Block (va_CCons (va_IfElse (va_cmp_lt (va_op_cmp_reg64 rR15) (va_const_cmp 8)) (va_Block
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_CCons
(va_code_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_CCons (va_code_Shl64
(va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Sub64
(va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ())))))))))))))))) (va_Block
(va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx)
(va_op_opr64_reg64 rR15)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64
8)) (va_CCons (va_code_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_CCons (va_code_Shl64
(va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (va_CCons (va_Block (va_CNil ()))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))))))))))) (va_CCons
(va_code_Poly1305_iteration ()) (va_CNil ())))) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 51,
"end_line": 1696,
"start_col": 0,
"start_line": 1666
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce)
//--
//-- Poly1305_iteration
val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_iteration () =
(va_Block (va_CCons (va_code_Poly1305_multiply ()) (va_CCons (va_code_Poly1305_reduce ())
(va_CNil ()))))
val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_iteration () =
(va_pbool_and (va_codegen_success_Poly1305_multiply ()) (va_pbool_and
(va_codegen_success_Poly1305_reduce ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_iteration (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_iteration ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in let (va_arg50:Prims.int) = n `op_Division` 16 in let
(va_arg49:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg48:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg48 7 va_arg49 va_arg50)
(let (va_arg47:Prims.int) = n `op_Division` 16 in let (va_arg46:Prims.int) = r1 in let
(va_arg45:Prims.int) = n in let (va_arg44:Prims.int) = va_get_reg64 rR14 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 211 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg44 va_arg45 va_arg46
va_arg47) (let (va_arg43:Prims.int) = n `op_Division` 16 in let (va_arg42:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg41:Prims.int) = n in let (va_arg40:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg40 va_arg41 va_arg42
va_arg43) (let (va_arg39:Prims.int) = n `op_Division` 8 in let (va_arg38:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg37:Prims.int) = n in let (va_arg36:Prims.int) =
va_get_reg64 rRbp va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg36 va_arg37 va_arg38
va_arg39) (let (va_arg35:Prims.int) = n `op_Division` 16 in let (va_arg34:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg33:Prims.int) = n in let (va_arg32:Prims.int) =
va_get_reg64 rR14 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg32 va_arg33 va_arg34
va_arg35) (let (va_arg31:Prims.int) = n `op_Division` 8 in let (va_arg30:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg29:Prims.int) = n in let (va_arg28:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg28 va_arg29 va_arg30
va_arg31) (let (va_arg27:Prims.int) = 5 `op_Multiply` n `op_Division` 64 in let
(va_arg26:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg25:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg25 7 va_arg26 va_arg27)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 218 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_multiply r1) (fun (va_s:va_state) (hd:int) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_reduce ()) (fun (va_s:va_state) (hh:int) -> va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 220 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 221 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(l_and (hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_s) + va_mul_nat n (va_get_reg64
rRbx va_s) + va_get_reg64 rR14 va_s) (va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p))
(va_QEmpty ((hh)))))))))))))))
val va_lemma_Poly1305_iteration : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_iteration ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp (va_mul_nat h r) ==
Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_iteration va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_iteration va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_iteration ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 180 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 201 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp (va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_iteration (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1) /\ (forall (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp
(va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_iteration : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_iteration r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_iteration ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_iteration r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_iteration (va_code_Poly1305_iteration ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_iteration (r1:nat64) : (va_quickCode int (va_code_Poly1305_iteration ())) =
(va_QProc (va_code_Poly1305_iteration ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRax]) (va_wp_Poly1305_iteration r1) (va_wpProof_Poly1305_iteration r1))
//--
//-- Poly1305_blocks_body0
val va_code_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_body0 () =
(va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Public))
(va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_CCons
(va_code_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (va_CCons
(va_code_Poly1305_iteration ()) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64
1)) (va_CNil ())))))))))))
val va_codegen_success_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_body0 () =
(va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0)
(va_op_reg64_reg64 rRsi) 0 Public)) (va_pbool_and (va_codegen_success_Mem64_lemma ())
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64
(va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_pbool_and
(va_codegen_success_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi)
(va_const_opr64 16)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Poly1305_iteration ())
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1))
(va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_body0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in let (nn:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (hp:int) = h in let (h:int) = h +
va_mul_nat (va_mul_nat nn nn) (va_get_reg64 rRcx va_s) + va_mul_nat nn
(Vale.X64.Decls.buffer64_read inp_b (word_index + 1) (va_get_mem_heaplet 0 va_s)) +
Vale.X64.Decls.buffer64_read inp_b word_index (va_get_mem_heaplet 0 va_s) in let (hq:int) = h
in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inp_b word_index
Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 0 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inp_b
(word_index + 1) Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 355 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 356 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state)
_ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 358 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hq == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat nn nn) + va_mul_nat (va_get_reg64 rRbx
va_s) nn + va_get_reg64 rR14 va_s) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 360 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration (va_get_reg64 rR12 va_s)) (fun (va_s:va_state) (h:int) -> va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 362 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 363 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1)) (fun (va_s:va_state) _ -> let
(word_index:nat) = word_index + 2 in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 366 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index) (let
(va_arg50:Prims.int) = word_index in let (va_arg49:(FStar.Seq.Base.seq Vale.X64.Memory.nat64))
= Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b in let (va_arg48:Prims.int)
= r in let (va_arg47:Prims.int) = va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let
(va_arg46:Prims.int) = Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 368 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg46 va_arg47 va_arg48
va_arg49 va_arg50) (let (va_arg45:Prims.int) = word_index - 2 in let
(va_arg44:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg43:Prims.int) = r in let (va_arg42:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let (va_arg41:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 369 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg41 va_arg42 va_arg43
va_arg44 va_arg45) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 370 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:Prims.int) = r in let (va_arg39:Prims.int) = hq - hp in let (va_arg38:Prims.int) = hp
in let (va_arg37:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg37 va_arg38 va_arg39 va_arg40)
(va_QEmpty (())))))) (va_QEmpty ((h, word_index)))))))))))))))
val va_lemma_Poly1305_blocks_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old /\ va_get_reg64 rR15 va_s0 =!= 0))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15
va_s0) /\ va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_body0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_body0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_body0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 345 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
va_get_reg64 rR15 va_s0 =!= 0 /\ (forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_rax:nat64) (va_x_rbp:nat64) (va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int)
(word_index:nat) . let va_sM = va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64
rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10 (va_upd_ok va_x_ok (va_upd_flags va_x_efl
va_s0))))))))))) in va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n ==
va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\
va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h ==
va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64
rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12
va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64
rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM ==
va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM
== va_get_reg64 rRsi va_old + va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64
/\ va_in_length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8
`op_Multiply` (word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8
`op_Multiply` word_index == va_in_length /\ va_get_reg64 rRsi va_sM + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) +
8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_sM < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM)
(va_get_reg64 rRdi va_sM) va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old /\
precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_body0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int ->
va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_body0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_body0 (va_code_Poly1305_blocks_body0
()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r
va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_body0 ())) =
(va_QProc (va_code_Poly1305_blocks_body0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64
rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks_while0
val va_code_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_while0 () =
(va_Block (va_CCons (va_While (va_cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (va_Block
(va_CCons (va_code_Poly1305_blocks_body0 ()) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_while0 () =
(va_pbool_and (va_codegen_success_Poly1305_blocks_body0 ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_while0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_qWhile va_mods (Cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (fun va_g -> let (h:int) =
let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g in
word_index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_body0 va_old ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QEmpty ((h, word_index))))) (fun
(va_s:va_state) va_g -> let (h:int) = let (h, word_index) = va_g in h in let (word_index:nat) =
let (h, word_index) = va_g in word_index in va_get_ok va_s /\ n == pow2_64 /\ va_mul_nat n n ==
va_mul_nat pow2_64 pow2_64 /\ p == va_mul_nat n n `op_Multiply` 4 - 5 /\ r == va_mul_nat
(va_get_reg64 rR12 va_s) n + va_get_reg64 rR11 va_s /\ h == va_mul_nat (va_get_reg64 rRbp va_s)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s) pow2_64 + va_get_reg64 rR14
va_s /\ va_get_reg64 rR11 va_s < n `op_Division` 16 /\ va_get_reg64 rR12 va_s < n `op_Division`
16 /\ va_get_reg64 rR12 va_s `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s == va_get_reg64 rR12
va_s + va_get_reg64 rR12 va_s `op_Division` 4 /\ va_get_reg64 rRbp va_s < 5 /\ va_get_reg64
rRax va_s == va_get_reg64 rR12 va_s /\ va_get_reg64 rRsi va_s + 16 `op_Multiply` va_get_reg64
rR15 va_s == va_get_reg64 rRsi va_old + length /\ va_get_reg64 rRsi va_old + length < pow2_64
/\ length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s =!= 0 ==> 8 `op_Multiply`
(word_index + 1) <= length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s + 8 `op_Multiply`
word_index == length /\ va_get_reg64 rRsi va_s + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 inp_b (va_get_mem_heaplet 0 va_s) + 8 `op_Multiply` word_index /\
va_get_reg64 rR15 va_s `op_Multiply` 16 <= length /\ va_get_reg64 rRcx va_s < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s) (va_get_reg64 rRdi va_s) ctx_b 24
(va_get_mem_layout va_s) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s)
(va_get_reg64 rRsi va_old) inp_b (length `op_Division` 8) (va_get_mem_layout va_s) Public /\
va_get_reg64 rRdi va_s == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s == va_get_reg64
rRcx va_old /\ (va_get_reg64 rRsi va_s - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index /\
va_get_mem_heaplet 1 va_s == va_get_mem_heaplet 1 va_old) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in va_get_reg64 rR15 va_s) ((h, word_index))) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in let va_g = (h, word_index) in let ((h:int), (word_index:nat)) = va_g in
va_QEmpty ((h, word_index)))))
val va_lemma_Poly1305_blocks_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_while0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) /\ va_state_eq va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_while0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_while0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_while0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(~(va_get_reg64 rR15 va_sM =!= 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
(forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r14:nat64)
(va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_rax:nat64) (va_x_rbp:nat64)
(va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int) (word_index:nat) . let va_sM =
va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_ok va_x_ok (va_upd_flags va_x_efl va_s0))))))))))) in va_get_ok va_sM /\ va_in_n ==
pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat
va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n
+ va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64
pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\
va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM ==
va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM <
5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16
`op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ 16
`op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length /\
va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b
(va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM
`op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_while0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int
-> va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_while0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length
va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_while0
(va_code_Poly1305_blocks_while0 ()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_while0 ())) =
(va_QProc (va_code_Poly1305_blocks_while0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx;
va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks
val va_code_Poly1305_blocks : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks () =
(va_Block (va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi) 24 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRdi) 32
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rR14) (va_op_reg_opr64_reg64 rRdi) 0 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRdi) 8
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rRbp) (va_op_reg_opr64_reg64 rRdi) 16 Public) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rR12) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rR13)
(va_const_shift_amt64 2)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rR13)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Poly1305_blocks_while0 ()) (va_CCons
(va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR14) 0 Public) (va_CCons (va_code_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRbx) 8
Public) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64
rRdi) (va_op_reg_opr64_reg64 rRbp) 16 Public) (va_CNil ())))))))))))))))))
val va_codegen_success_Poly1305_blocks : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks () =
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx))
(va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdi) 24 Public) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13)
(va_op_reg_opr64_reg64 rRdi) 32 Public) (va_pbool_and (va_codegen_success_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR14) (va_op_reg_opr64_reg64 rRdi) 0
Public) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRdi) 8 Public) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbp)
(va_op_reg_opr64_reg64 rRdi) 16 Public) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Shr64
(va_op_dst_opr64_reg64 rR13) (va_const_shift_amt64 2)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_pbool_and (va_codegen_success_Add64
(va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rR12)) (va_pbool_and
(va_codegen_success_Poly1305_blocks_while0 ()) (va_pbool_and (va_codegen_success_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR14) 0
Public) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRbx) 8 Public) (va_pbool_and
(va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbp) 16 Public) (va_ttrue ()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks (va_mods:va_mods_t) (r:int) (h_in:int) (ctx_b:buffer64)
(inp_b:buffer64) : (va_quickCode (int) (va_code_Poly1305_blocks ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 285 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (let (length:int) = va_get_reg64 rRdx
va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 289 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 292 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 294 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi) 24 Public ctx_b 3) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 295 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13)
(va_op_reg_opr64_reg64 rRdi) 32 Public ctx_b 4) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 297 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR14)
(va_op_reg_opr64_reg64 rRdi) 0 Public ctx_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 298 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbx)
(va_op_reg_opr64_reg64 rRdi) 8 Public ctx_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 299 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbp)
(va_op_reg_opr64_reg64 rRdi) 16 Public ctx_b 2) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 301 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR13) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 303 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 304 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rR12)) (fun (va_s:va_state) _
-> let (h:int) = h_in in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 307 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) 0) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 309 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg39:Prims.int) = r in let (va_arg38:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n) in let (va_arg37:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 310 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg37 va_arg38 va_arg39
va_arg40 0) (va_QEmpty (())))) (let (word_index:nat) = 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 315 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_while0 va_old_s ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 374 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR14) 0 Public ctx_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 375 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbx) 8 Public ctx_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 376 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbp) 16 Public ctx_b 2) (va_QEmpty ((h)))))))))))))))))))))
val va_lemma_Poly1305_blocks : va_b0:va_code -> va_s0:va_state -> r:int -> h_in:int ->
ctx_b:buffer64 -> inp_b:buffer64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64 rRdx va_s0 `op_Modulus` 16 == 0 /\
va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 < pow2_64 /\ Vale.X64.Decls.validDstAddrs64
(va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) ctx_b 24 (va_get_mem_layout va_s0)
Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0)
inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout va_s0) Public /\ (let h0_in
= Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_s0) in let h1_in =
Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_s0) in let h2_in =
Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_s0) in let r0_in =
Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_s0) in let r1_in =
Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_s0) in h_in == va_mul_nat h2_in
(va_mul_nat n n) + va_mul_nat h1_in n + h0_in /\ r == va_mul_nat r1_in n + r0_in /\ r0_in < n
`op_Division` 16 /\ r1_in < n `op_Division` 16 /\ r1_in `op_Modulus` 4 == 0 /\ h2_in < 5 /\
va_get_reg64 rRcx va_s0 < 2))))
(ensures (fun (va_sM, va_fM, h) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64
rRbp va_sM < 5 /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64
rRdi va_sM) ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0
`op_Division` 8) (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.modifies_buffer_specific
ctx_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM) 0 2 /\ va_get_reg64 rR14 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbx va_sM
== Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbp va_sM
== Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR11 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR12 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR13 va_sM
== va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRsi va_sM
== va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRcx va_sM == va_get_reg64
rRcx va_s0 /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 /\ (let r0_in =
Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) in let r1_in =
Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) in h == va_mul_nat
(va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM)
pow2_64 + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0 `op_Division` 8))) /\ va_state_eq
va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rRax va_sM (va_update_reg64 rRbp 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_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx 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_Poly1305_blocks va_b0 va_s0 r h_in ctx_b inp_b =
let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64
rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rRdx; va_Mod_reg64 rRsi; va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_Poly1305_blocks va_mods r h_in ctx_b inp_b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let h = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in label
va_range1
"***** POSTCONDITION NOT MET AT line 264 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 265 column 66 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) ctx_b 24
(va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 266 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_s0) inp_b
(va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 267 column 65 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific ctx_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet
1 va_sM) 0 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 268 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR14 va_sM == Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 269 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 270 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM == Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 271 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 272 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM == Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 273 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 274 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 277 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 278 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 280 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) in label
va_range1
"***** POSTCONDITION NOT MET AT line 281 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) in label
va_range1
"***** POSTCONDITION NOT MET AT line 282 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 283 column 118 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0
`op_Division` 8)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_ok; va_Mod_mem]) va_sM va_s0;
let h = va_g in
(va_sM, va_fM, h)
[@ va_qattr]
let va_wp_Poly1305_blocks (r:int) (h_in:int) (ctx_b:buffer64) (inp_b:buffer64) (va_s0:va_state)
(va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64
rRdx va_s0 `op_Modulus` 16 == 0 /\ va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 < pow2_64
/\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) ctx_b
24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0
va_s0) (va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8)
(va_get_mem_layout va_s0) Public /\ (let h0_in = Vale.X64.Decls.buffer64_read ctx_b 0
(va_get_mem_heaplet 1 va_s0) in let h1_in = Vale.X64.Decls.buffer64_read ctx_b 1
(va_get_mem_heaplet 1 va_s0) in let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2
(va_get_mem_heaplet 1 va_s0) in let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3
(va_get_mem_heaplet 1 va_s0) in let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4
(va_get_mem_heaplet 1 va_s0) in h_in == va_mul_nat h2_in (va_mul_nat n n) + va_mul_nat h1_in n
+ h0_in /\ r == va_mul_nat r1_in n + r0_in /\ r0_in < n `op_Division` 16 /\ r1_in < n
`op_Division` 16 /\ r1_in `op_Modulus` 4 == 0 /\ h2_in < 5 /\ va_get_reg64 rRcx va_s0 < 2)) /\
(forall (va_x_mem:vale_heap) (va_x_rsi:nat64) (va_x_rdx:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_r10:nat64) (va_x_r11:nat64) (va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64)
(va_x_rbx:nat64) (va_x_rbp:nat64) (va_x_rax:nat64) (va_x_r15:nat64) (va_x_efl:Vale.X64.Flags.t)
(va_x_heap1:vale_heap) (h:int) . let va_sM = va_upd_mem_heaplet 1 va_x_heap1 (va_upd_flags
va_x_efl (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRbp va_x_rbp
(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_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRsi va_x_rsi (va_upd_mem va_x_mem va_s0))))))))))))))) in va_get_ok va_sM /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64 rRbp va_sM < 5 /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) ctx_b 24
(va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM)
(va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout
va_sM) Public /\ Vale.X64.Decls.modifies_buffer_specific ctx_b (va_get_mem_heaplet 1 va_s0)
(va_get_mem_heaplet 1 va_sM) 0 2 /\ va_get_reg64 rR14 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 0 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbx va_sM == Vale.X64.Decls.buffer64_read
ctx_b 1 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbp va_sM == Vale.X64.Decls.buffer64_read
ctx_b 2 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 3 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR12 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 4 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM +
va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 +
va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0 /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_s0 /\ (let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3
(va_get_mem_heaplet 1 va_sM) in let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4
(va_get_mem_heaplet 1 va_sM) in h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64
pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0
`op_Division` 8))) ==> va_k va_sM ((h))))
val va_wpProof_Poly1305_blocks : r:int -> h_in:int -> ctx_b:buffer64 -> inp_b:buffer64 ->
va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks r h_in ctx_b inp_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks ())
([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi;
va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks r h_in ctx_b inp_b va_s0 va_k =
let (va_sM, va_f0, h) = va_lemma_Poly1305_blocks (va_code_Poly1305_blocks ()) va_s0 r h_in ctx_b
inp_b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM (va_update_reg64
rR15 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRbp 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_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx 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_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_mem]) va_sM va_s0;
let va_g = (h) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks (r:int) (h_in:int) (ctx_b:buffer64) (inp_b:buffer64) : (va_quickCode
int (va_code_Poly1305_blocks ())) =
(va_QProc (va_code_Poly1305_blocks ()) ([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15;
va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_mem]) (va_wp_Poly1305_blocks r h_in ctx_b inp_b)
(va_wpProof_Poly1305_blocks r h_in ctx_b inp_b))
//--
//-- Poly1305_last_block
val va_code_Poly1305_last_block : 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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.X64.Decls.va_code | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.X64.Decls.va_Block",
"Vale.X64.Decls.va_CCons",
"Vale.X64.Decls.va_IfElse",
"Vale.X64.Decls.va_cmp_lt",
"Vale.X64.Decls.va_op_cmp_reg64",
"Vale.X64.Machine_s.rR15",
"Vale.X64.Decls.va_const_cmp",
"Vale.X64.InsBasic.va_code_Mov64",
"Vale.X64.Decls.va_op_dst_opr64_reg64",
"Vale.X64.Machine_s.rRcx",
"Vale.X64.Decls.va_op_opr64_reg64",
"Vale.X64.InsBasic.va_code_Shl64",
"Vale.X64.Decls.va_const_shift_amt64",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Decls.va_const_opr64",
"Vale.X64.Decls.va_op_shift_amt64_reg64",
"Vale.X64.InsBasic.va_code_Sub64",
"Vale.X64.InsBasic.va_code_And64",
"Vale.X64.Machine_s.rR8",
"Vale.X64.Machine_s.rR9",
"Vale.X64.InsBasic.va_code_Add64Wrap",
"Vale.X64.Machine_s.rR14",
"Vale.X64.InsBasic.va_code_Adc64Wrap",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.Decls.va_CNil",
"Vale.Poly1305.X64.va_code_Poly1305_iteration",
"Vale.X64.Decls.va_code"
] | [] | false | false | false | true | false | let va_code_Poly1305_last_block () =
| (va_Block (va_CCons (va_IfElse (va_cmp_lt (va_op_cmp_reg64 rR15) (va_const_cmp 8))
(va_Block (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)
)
(va_CCons (va_code_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1))
(va_CCons (va_code_Shl64 (va_op_dst_opr64_reg64 rRdx)
(va_op_shift_amt64_reg64 rRcx))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx)
(va_op_opr64_reg64 rRdx))
(va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rRcx)
(va_const_opr64 1))
(va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRcx))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR9)
(va_const_opr64 0))
(va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14
)
(va_op_opr64_reg64 rR8))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64
rRbx)
(va_op_opr64_reg64 rR9))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64
rRbp)
(va_const_opr64 0))
(va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64
rR14)
(va_op_opr64_reg64 rRdx))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64
rRbx)
(va_const_opr64 0))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64
rRbp)
(va_const_opr64 0))
(va_CNil ()))))))))))))))))
(va_Block (va_CCons (va_Block (va_CNil ()))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15))
(va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 8))
(va_CCons (va_code_Shl64 (va_op_dst_opr64_reg64 rRcx)
(va_const_shift_amt64 3))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx)
(va_const_opr64 1))
(va_CCons (va_code_Shl64 (va_op_dst_opr64_reg64 rRdx)
(va_op_shift_amt64_reg64 rRcx))
(va_CCons (va_Block (va_CNil ()))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx)
(va_op_opr64_reg64 rRdx))
(va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rRcx
)
(va_const_opr64 1))
(va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rR9
)
(va_op_opr64_reg64 rRcx))
(va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64
rR14)
(va_op_opr64_reg64 rR8))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64
rRbx)
(va_op_opr64_reg64 rR9))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64
rRbp)
(va_const_opr64 0))
(va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64
rR14)
(va_const_opr64 0))
(va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64
rRbx)
(va_op_opr64_reg64 rRdx
))
(va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64
rRbp)
(va_const_opr64 0
))
(va_CNil ())))))))))
))))))))))
(va_CCons (va_code_Poly1305_iteration ()) (va_CNil ())))) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_qcode_Poly1305_multiply | val va_qcode_Poly1305_multiply (va_mods: va_mods_t) (r1: nat64)
: (va_quickCode (int) (va_code_Poly1305_multiply ())) | val va_qcode_Poly1305_multiply (va_mods: va_mods_t) (r1: nat64)
: (va_quickCode (int) (va_code_Poly1305_multiply ())) | let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh)))))))))))))))))))))))))))))))))) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 53,
"end_line": 170,
"start_col": 0,
"start_line": 79
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ()))))))))))))))))))))))))) | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_mods: Vale.X64.QuickCode.va_mods_t -> r1: Vale.X64.Memory.nat64
-> Vale.X64.QuickCode.va_quickCode Prims.int (Vale.Poly1305.X64.va_code_Poly1305_multiply ()) | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.QuickCode.va_mods_t",
"Vale.X64.Memory.nat64",
"Vale.X64.QuickCodes.qblock",
"Prims.int",
"Prims.Cons",
"Vale.X64.Decls.va_code",
"Vale.X64.InsBasic.va_code_Mul64Wrap",
"Vale.X64.Decls.va_op_opr64_reg64",
"Vale.X64.Machine_s.rR14",
"Vale.X64.InsBasic.va_code_Mov64",
"Vale.X64.Decls.va_op_dst_opr64_reg64",
"Vale.X64.Machine_s.rR9",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Machine_s.rR11",
"Vale.X64.Machine_s.rR10",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Machine_s.rR8",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.InsBasic.va_code_Add64Wrap",
"Vale.X64.Machine_s.rR13",
"Vale.X64.InsBasic.va_code_Adc64Wrap",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.InsBasic.va_code_IMul64",
"Vale.X64.Decls.va_const_opr64",
"Prims.Nil",
"Vale.X64.Machine_s.precode",
"Vale.X64.Decls.ins",
"Vale.X64.Decls.ocmp",
"Vale.X64.Decls.va_state",
"Vale.X64.QuickCodes.va_qAssert",
"Vale.X64.QuickCodes.va_range1",
"Prims.eq2",
"Prims.nat",
"Vale.X64.Decls.va_mul_nat",
"Vale.X64.Decls.va_get_reg64",
"Vale.X64.Decls.va_is_src_opr64",
"Vale.X64.QuickCodes.va_QSeq",
"Prims.unit",
"Vale.X64.InsBasic.va_quick_Mul64Wrap",
"Vale.X64.InsBasic.va_quick_Mov64",
"Vale.X64.InsBasic.va_quick_Add64Wrap",
"Vale.X64.InsBasic.va_quick_Adc64Wrap",
"Vale.X64.InsBasic.va_quick_IMul64",
"Vale.X64.QuickCodes.va_QBind",
"Vale.X64.QuickCodes.va_qPURE",
"Prims.pure_post",
"Prims.l_and",
"Prims.b2t",
"Prims.op_GreaterThan",
"Prims.op_GreaterThanOrEqual",
"Prims.op_Multiply",
"Prims.op_Addition",
"Prims.op_Division",
"Prims.op_Modulus",
"Prims.l_Forall",
"Prims.l_imp",
"Vale.Poly1305.Math.lemma_poly_multiply",
"Vale.X64.QuickCodes.va_QEmpty",
"Vale.X64.QuickCodes.quickCodes",
"Vale.X64.Decls.va_int_range",
"Prims.op_Subtraction",
"Vale.X64.Machine_s.pow2_64",
"Vale.X64.State.vale_state",
"Vale.X64.QuickCode.va_quickCode",
"Vale.Poly1305.X64.va_code_Poly1305_multiply"
] | [] | false | false | false | false | false | let va_qcode_Poly1305_multiply (va_mods: va_mods_t) (r1: nat64)
: (va_quickCode (int) (va_code_Poly1305_multiply ())) =
| (qblock va_mods
(fun (va_s: va_state) ->
let va_old_s:va_state = va_s in
let n:(va_int_range 18446744073709551616 18446744073709551616) = pow2_64 in
let p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) =
(va_mul_nat n n) `op_Multiply` 4 - 5
in
let r:(va_int_range 0 340282366920938463463374607431768211455) =
va_mul_nat r1 n + va_get_reg64 rR11 va_s
in
let h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895) =
va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat n n) +
va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s
in
va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s))
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) ==
va_mul_nat (va_get_reg64 rR14 va_s) (va_get_reg64 rR11 va_s))
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) ==
va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR11 va_s))
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) ==
va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s))
(let gd0:int =
va_mul_nat (va_get_reg64 rR14 va_s) (va_get_reg64 rR11 va_s) +
va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s)
in
let gd1:int =
va_mul_nat (va_get_reg64 rR14 va_s) r1 +
va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR11 va_s) +
va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s)
in
let gd2:int =
va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s)
in
va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14)
va_s)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRax))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10)
(va_op_opr64_reg64 rRdx))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8
)
(va_op_opr64_reg64 rRdx))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64
rRbx))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64
rR9)
(va_op_opr64_reg64 rRax))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64
rRax)
(va_op_opr64_reg64 rR13))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64
rR10)
(va_op_opr64_reg64 rRdx
))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64
rRbx))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64
rRbx)
(va_op_opr64_reg64
rRbp))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap
(va_op_dst_opr64_reg64
rR14)
(va_op_opr64_reg64
rRax))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap
(va_op_dst_opr64_reg64
rR8
)
(va_op_opr64_reg64
rRdx
))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64
(va_op_dst_opr64_reg64
rRbx
)
(va_op_opr64_reg64
rR13
))
(va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap
(
va_op_dst_opr64_reg64
rR9
)
(
va_op_opr64_reg64
rRbx
)
)
(va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(
va_quick_Mov64
(
va_op_dst_opr64_reg64
rRbx
)
(
va_op_opr64_reg64
rR8
)
)
(
va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(
va_quick_Adc64Wrap
(
va_op_dst_opr64_reg64
rR10
)
(
va_const_opr64
0
)
)
(
va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(
va_quick_IMul64
(
va_op_dst_opr64_reg64
rRbp
)
(
va_op_opr64_reg64
rR11
)
)
(
va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(
va_quick_Add64Wrap
(
va_op_dst_opr64_reg64
rRbx
)
(
va_op_opr64_reg64
rR9
)
)
(
va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(
va_quick_Mov64
(
va_op_dst_opr64_reg64
rRax
)
(
va_const_opr64
18446744073709551612
)
)
(
va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(
va_quick_Adc64Wrap
(
va_op_dst_opr64_reg64
rR10
)
(
va_op_opr64_reg64
rRbp
)
)
(
fun
(
va_s:
va_state
)
_
->
let
hh:int
=
va_mul_nat
(
va_mul_nat
n
n
)
(
va_get_reg64
rR10
va_s
)
+
va_mul_nat
n
(
va_get_reg64
rRbx
va_s
)
+
va_get_reg64
rR14
va_s
in
let
va_arg61:Prims.int
=
hh
in
let
va_arg60:Prims.int
=
gd2
in
let
va_arg59:Prims.int
=
gd1
in
let
va_arg58:Prims.int
=
gd0
in
let
va_arg57:Prims.int
=
va_get_reg64
rR13
va_s
in
let
va_arg56:Prims.int
=
va_get_reg64
rRbp
va_old_s
in
let
va_arg55:Prims.int
=
va_get_reg64
rRbx
va_old_s
in
let
va_arg54:Prims.int
=
va_get_reg64
rR14
va_old_s
in
let
va_arg53:Prims.int
=
r1
in
let
va_arg52:Prims.int
=
va_get_reg64
rR11
va_s
in
let
va_arg51:Prims.int
=
h
in
let
va_arg50:Prims.int
=
r
in
let
va_arg49:Prims.int
=
p
in
let
va_arg48:Prims.int
=
n
in
va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(
fun
(
_:
unit
)
->
Vale.Poly1305.Math.lemma_poly_multiply
va_arg48
va_arg49
va_arg50
va_arg51
va_arg52
va_arg53
va_arg54
va_arg55
va_arg56
va_arg57
va_arg58
va_arg59
va_arg60
va_arg61
)
(
va_QEmpty
(
(
hh
)
)
)
)
)
)
)
)
)
))
))))))))))
))))))))))))) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_qcode_Poly1305_blocks_body0 | val va_qcode_Poly1305_blocks_body0
(va_mods: va_mods_t)
(va_old: va_state)
(va_in_ctx_b: buffer64)
(va_in_h_in: int)
(va_in_inp_b: buffer64)
(va_in_length: int)
(va_in_n: (va_int_range 18446744073709551616 18446744073709551616))
(va_in_p:
(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819))
(va_in_r va_in_h: int)
(va_in_word_index: nat)
: (va_quickCode (int & nat) (va_code_Poly1305_blocks_body0 ())) | val va_qcode_Poly1305_blocks_body0
(va_mods: va_mods_t)
(va_old: va_state)
(va_in_ctx_b: buffer64)
(va_in_h_in: int)
(va_in_inp_b: buffer64)
(va_in_length: int)
(va_in_n: (va_int_range 18446744073709551616 18446744073709551616))
(va_in_p:
(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819))
(va_in_r va_in_h: int)
(va_in_word_index: nat)
: (va_quickCode (int & nat) (va_code_Poly1305_blocks_body0 ())) | let va_qcode_Poly1305_blocks_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_body0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in let (nn:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (hp:int) = h in let (h:int) = h +
va_mul_nat (va_mul_nat nn nn) (va_get_reg64 rRcx va_s) + va_mul_nat nn
(Vale.X64.Decls.buffer64_read inp_b (word_index + 1) (va_get_mem_heaplet 0 va_s)) +
Vale.X64.Decls.buffer64_read inp_b word_index (va_get_mem_heaplet 0 va_s) in let (hq:int) = h
in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inp_b word_index
Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 0 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inp_b
(word_index + 1) Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 355 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 356 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state)
_ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 358 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hq == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat nn nn) + va_mul_nat (va_get_reg64 rRbx
va_s) nn + va_get_reg64 rR14 va_s) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 360 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration (va_get_reg64 rR12 va_s)) (fun (va_s:va_state) (h:int) -> va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 362 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 363 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1)) (fun (va_s:va_state) _ -> let
(word_index:nat) = word_index + 2 in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 366 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index) (let
(va_arg50:Prims.int) = word_index in let (va_arg49:(FStar.Seq.Base.seq Vale.X64.Memory.nat64))
= Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b in let (va_arg48:Prims.int)
= r in let (va_arg47:Prims.int) = va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let
(va_arg46:Prims.int) = Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 368 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg46 va_arg47 va_arg48
va_arg49 va_arg50) (let (va_arg45:Prims.int) = word_index - 2 in let
(va_arg44:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg43:Prims.int) = r in let (va_arg42:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let (va_arg41:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 369 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg41 va_arg42 va_arg43
va_arg44 va_arg45) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 370 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:Prims.int) = r in let (va_arg39:Prims.int) = hq - hp in let (va_arg38:Prims.int) = hp
in let (va_arg37:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg37 va_arg38 va_arg39 va_arg40)
(va_QEmpty (())))))) (va_QEmpty ((h, word_index))))))))))))))) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 66,
"end_line": 755,
"start_col": 0,
"start_line": 685
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce)
//--
//-- Poly1305_iteration
val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_iteration () =
(va_Block (va_CCons (va_code_Poly1305_multiply ()) (va_CCons (va_code_Poly1305_reduce ())
(va_CNil ()))))
val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_iteration () =
(va_pbool_and (va_codegen_success_Poly1305_multiply ()) (va_pbool_and
(va_codegen_success_Poly1305_reduce ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_iteration (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_iteration ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in let (va_arg50:Prims.int) = n `op_Division` 16 in let
(va_arg49:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg48:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg48 7 va_arg49 va_arg50)
(let (va_arg47:Prims.int) = n `op_Division` 16 in let (va_arg46:Prims.int) = r1 in let
(va_arg45:Prims.int) = n in let (va_arg44:Prims.int) = va_get_reg64 rR14 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 211 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg44 va_arg45 va_arg46
va_arg47) (let (va_arg43:Prims.int) = n `op_Division` 16 in let (va_arg42:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg41:Prims.int) = n in let (va_arg40:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg40 va_arg41 va_arg42
va_arg43) (let (va_arg39:Prims.int) = n `op_Division` 8 in let (va_arg38:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg37:Prims.int) = n in let (va_arg36:Prims.int) =
va_get_reg64 rRbp va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg36 va_arg37 va_arg38
va_arg39) (let (va_arg35:Prims.int) = n `op_Division` 16 in let (va_arg34:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg33:Prims.int) = n in let (va_arg32:Prims.int) =
va_get_reg64 rR14 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg32 va_arg33 va_arg34
va_arg35) (let (va_arg31:Prims.int) = n `op_Division` 8 in let (va_arg30:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg29:Prims.int) = n in let (va_arg28:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg28 va_arg29 va_arg30
va_arg31) (let (va_arg27:Prims.int) = 5 `op_Multiply` n `op_Division` 64 in let
(va_arg26:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg25:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg25 7 va_arg26 va_arg27)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 218 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_multiply r1) (fun (va_s:va_state) (hd:int) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_reduce ()) (fun (va_s:va_state) (hh:int) -> va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 220 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 221 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(l_and (hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_s) + va_mul_nat n (va_get_reg64
rRbx va_s) + va_get_reg64 rR14 va_s) (va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p))
(va_QEmpty ((hh)))))))))))))))
val va_lemma_Poly1305_iteration : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_iteration ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp (va_mul_nat h r) ==
Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_iteration va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_iteration va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_iteration ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 180 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 201 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp (va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_iteration (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1) /\ (forall (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp
(va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_iteration : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_iteration r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_iteration ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_iteration r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_iteration (va_code_Poly1305_iteration ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_iteration (r1:nat64) : (va_quickCode int (va_code_Poly1305_iteration ())) =
(va_QProc (va_code_Poly1305_iteration ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRax]) (va_wp_Poly1305_iteration r1) (va_wpProof_Poly1305_iteration r1))
//--
//-- Poly1305_blocks_body0
val va_code_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_body0 () =
(va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Public))
(va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_CCons
(va_code_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (va_CCons
(va_code_Poly1305_iteration ()) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64
1)) (va_CNil ())))))))))))
val va_codegen_success_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_body0 () =
(va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0)
(va_op_reg64_reg64 rRsi) 0 Public)) (va_pbool_and (va_codegen_success_Mem64_lemma ())
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64
(va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_pbool_and
(va_codegen_success_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi)
(va_const_opr64 16)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Poly1305_iteration ())
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1))
(va_ttrue ())))))))))) | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_mods: Vale.X64.QuickCode.va_mods_t ->
va_old: Vale.X64.Decls.va_state ->
va_in_ctx_b: Vale.X64.Memory.buffer64 ->
va_in_h_in: Prims.int ->
va_in_inp_b: Vale.X64.Memory.buffer64 ->
va_in_length: Prims.int ->
va_in_n: Vale.X64.Decls.va_int_range 18446744073709551616 18446744073709551616 ->
va_in_p:
Vale.X64.Decls.va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819 ->
va_in_r: Prims.int ->
va_in_h: Prims.int ->
va_in_word_index: Prims.nat
-> Vale.X64.QuickCode.va_quickCode (Prims.int * Prims.nat)
(Vale.Poly1305.X64.va_code_Poly1305_blocks_body0 ()) | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.QuickCode.va_mods_t",
"Vale.X64.Decls.va_state",
"Vale.X64.Memory.buffer64",
"Prims.int",
"Vale.X64.Decls.va_int_range",
"Prims.nat",
"Vale.X64.QuickCodes.qblock",
"FStar.Pervasives.Native.tuple2",
"Prims.Cons",
"Vale.X64.Decls.va_code",
"Vale.X64.InsMem.va_code_Mem64_lemma",
"Vale.X64.InsBasic.va_code_Add64Wrap",
"Vale.X64.Decls.va_op_dst_opr64_reg64",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Decls.va_opr_code_Mem64",
"Vale.X64.Decls.va_op_heaplet_mem_heaplet",
"Vale.X64.Decls.va_op_reg64_reg64",
"Vale.X64.Machine_s.rRsi",
"Vale.Arch.HeapTypes_s.Public",
"Vale.X64.InsBasic.va_code_Adc64Wrap",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.InsBasic.va_code_AddLea64",
"Vale.X64.Decls.va_op_opr64_reg64",
"Vale.X64.Decls.va_const_opr64",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.Machine_s.rRcx",
"Vale.Poly1305.X64.va_code_Poly1305_iteration",
"Vale.X64.InsBasic.va_code_Mov64",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Machine_s.rR12",
"Vale.X64.InsBasic.va_code_Sub64",
"Vale.X64.Machine_s.rR15",
"Prims.Nil",
"Vale.X64.Machine_s.precode",
"Vale.X64.Decls.ins",
"Vale.X64.Decls.ocmp",
"Vale.X64.QuickCodes.va_QSeq",
"Prims.unit",
"Vale.X64.QuickCodes.va_range1",
"Vale.X64.InsMem.va_quick_Mem64_lemma",
"Vale.X64.InsBasic.va_quick_Add64Wrap",
"Prims.op_Addition",
"Vale.X64.InsBasic.va_quick_Adc64Wrap",
"Vale.X64.InsBasic.va_quick_AddLea64",
"Vale.X64.QuickCodes.va_QBind",
"Vale.X64.QuickCodes.va_qAssert",
"Prims.eq2",
"Vale.X64.Decls.va_mul_nat",
"Vale.X64.Decls.va_get_reg64",
"Vale.Poly1305.X64.va_quick_Poly1305_iteration",
"Vale.X64.InsBasic.va_quick_Mov64",
"Vale.X64.InsBasic.va_quick_Sub64",
"Vale.X64.QuickCodes.va_qAssertBy",
"Vale.Poly1305.Spec_s.modp",
"Vale.Poly1305.Util.poly1305_heap_blocks",
"Vale.X64.Decls.buffer64_as_seq",
"Vale.X64.Decls.va_get_mem_heaplet",
"Vale.X64.QuickCodes.va_qPURE",
"Prims.pure_post",
"Prims.l_and",
"Prims.b2t",
"Prims.op_LessThanOrEqual",
"FStar.Seq.Base.length",
"Vale.Def.Words_s.nat64",
"Prims.op_Modulus",
"Prims.l_Forall",
"Prims.l_imp",
"Prims.op_Equality",
"Vale.Poly1305.Util.poly1305_heap_blocks'",
"Vale.Poly1305.Util.reveal_poly1305_heap_blocks",
"Vale.X64.QuickCodes.va_QLemma",
"Prims.squash",
"Vale.X64.Decls.va_reveal_eq",
"Vale.X64.Decls.va_reveal_opaque",
"Prims.l_True",
"Prims.op_Multiply",
"Vale.Poly1305.Math.lemma_poly_demod",
"Vale.X64.QuickCodes.va_QEmpty",
"Prims.pos",
"Prims.op_Subtraction",
"FStar.Seq.Base.seq",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.QuickCodes.quickCodes",
"Vale.X64.Decls.buffer64_read",
"Vale.X64.Machine_s.pow2_64",
"Vale.X64.State.vale_state",
"Vale.X64.QuickCode.va_quickCode",
"Vale.Poly1305.X64.va_code_Poly1305_blocks_body0"
] | [] | false | false | false | false | false | let va_qcode_Poly1305_blocks_body0
(va_mods: va_mods_t)
(va_old: va_state)
(va_in_ctx_b: buffer64)
(va_in_h_in: int)
(va_in_inp_b: buffer64)
(va_in_length: int)
(va_in_n: (va_int_range 18446744073709551616 18446744073709551616))
(va_in_p:
(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819))
(va_in_r va_in_h: int)
(va_in_word_index: nat)
: (va_quickCode (int & nat) (va_code_Poly1305_blocks_body0 ())) =
| (qblock va_mods
(fun (va_s: va_state) ->
let va_old_s:va_state = va_s in
let ctx_b:buffer64 = va_in_ctx_b in
let h_in:int = va_in_h_in in
let inp_b:buffer64 = va_in_inp_b in
let length:int = va_in_length in
let n:(va_int_range 18446744073709551616 18446744073709551616) = va_in_n in
let p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) =
va_in_p
in
let r:int = va_in_r in
let h:int = va_in_h in
let word_index:nat = va_in_word_index in
let nn:(va_int_range 18446744073709551616 18446744073709551616) = pow2_64 in
let hp:int = h in
let h:int =
h + va_mul_nat (va_mul_nat nn nn) (va_get_reg64 rRcx va_s) +
va_mul_nat nn
(Vale.X64.Decls.buffer64_read inp_b (word_index + 1) (va_get_mem_heaplet 0 va_s)) +
Vale.X64.Decls.buffer64_read inp_b word_index (va_get_mem_heaplet 0 va_s)
in
let hq:int = h in
va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0)
(va_op_reg64_reg64 rRsi)
0
inp_b
word_index
Public)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Public
))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0)
(va_op_reg64_reg64 rRsi)
8
inp_b
(word_index + 1)
Public)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0)
(va_op_reg64_reg64 rRsi)
8
Public))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 355 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rRsi)
(va_op_opr64_reg64 rRsi)
(va_const_opr64 16))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 356 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rRcx))
(fun (va_s: va_state) _ ->
va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 358 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hq ==
va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat nn nn) +
va_mul_nat (va_get_reg64 rRbx va_s) nn +
va_get_reg64 rR14 va_s)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 360 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration (va_get_reg64 rR12 va_s))
(fun (va_s: va_state) (h: int) ->
va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 362 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 363 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rR15)
(va_const_opr64 1))
(fun (va_s: va_state) _ ->
let word_index:nat = word_index + 2 in
va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 366 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp
h_in)
(va_mul_nat (va_get_reg64 rRcx va_s)
(va_mul_nat nn nn))
r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet
0
va_s)
inp_b)
word_index)
(let va_arg50:Prims.int = word_index in
let va_arg49:(FStar.Seq.Base.seq Vale.X64.Memory.nat64
) =
Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet
0
va_s)
inp_b
in
let va_arg48:Prims.int = r in
let va_arg47:Prims.int =
va_mul_nat (va_get_reg64 rRcx va_s)
(va_mul_nat nn nn)
in
let va_arg46:Prims.int =
Vale.Poly1305.Spec_s.modp h_in
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 368 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_: unit) ->
Vale.Poly1305.Util.reveal_poly1305_heap_blocks
va_arg46
va_arg47
va_arg48
va_arg49
va_arg50)
(let va_arg45:Prims.int =
word_index - 2
in
let va_arg44:(FStar.Seq.Base.seq Vale.X64.Memory.nat64
) =
Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet
0
va_s)
inp_b
in
let va_arg43:Prims.int = r in
let va_arg42:Prims.int =
va_mul_nat (va_get_reg64 rRcx va_s)
(va_mul_nat nn nn)
in
let va_arg41:Prims.int =
Vale.Poly1305.Spec_s.modp h_in
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 369 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_: unit) ->
Vale.Poly1305.Util.reveal_poly1305_heap_blocks
va_arg41
va_arg42
va_arg43
va_arg44
va_arg45)
(va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 370 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true
(fun _ ->
va_reveal_eq (`%modp)
modp
modp)
(fun _ ->
va_reveal_opaque (`%modp)
modp)
(let va_arg40:Prims.int = r in
let va_arg39:Prims.int =
hq - hp
in
let va_arg38:Prims.int = hp in
let va_arg37:Prims.pos = p in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_: unit) ->
Vale.Poly1305.Math.lemma_poly_demod
va_arg37
va_arg38
va_arg39
va_arg40)
(va_QEmpty (()))))))
(va_QEmpty ((h, word_index))))))))))))))) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_quick_Poly1305_blocks | val va_quick_Poly1305_blocks (r h_in: int) (ctx_b inp_b: buffer64)
: (va_quickCode int (va_code_Poly1305_blocks ())) | val va_quick_Poly1305_blocks (r h_in: int) (ctx_b inp_b: buffer64)
: (va_quickCode int (va_code_Poly1305_blocks ())) | let va_quick_Poly1305_blocks (r:int) (h_in:int) (ctx_b:buffer64) (inp_b:buffer64) : (va_quickCode
int (va_code_Poly1305_blocks ())) =
(va_QProc (va_code_Poly1305_blocks ()) ([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15;
va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_mem]) (va_wp_Poly1305_blocks r h_in ctx_b inp_b)
(va_wpProof_Poly1305_blocks r h_in ctx_b inp_b)) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 52,
"end_line": 1660,
"start_col": 0,
"start_line": 1654
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce)
//--
//-- Poly1305_iteration
val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_iteration () =
(va_Block (va_CCons (va_code_Poly1305_multiply ()) (va_CCons (va_code_Poly1305_reduce ())
(va_CNil ()))))
val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_iteration () =
(va_pbool_and (va_codegen_success_Poly1305_multiply ()) (va_pbool_and
(va_codegen_success_Poly1305_reduce ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_iteration (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_iteration ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in let (va_arg50:Prims.int) = n `op_Division` 16 in let
(va_arg49:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg48:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg48 7 va_arg49 va_arg50)
(let (va_arg47:Prims.int) = n `op_Division` 16 in let (va_arg46:Prims.int) = r1 in let
(va_arg45:Prims.int) = n in let (va_arg44:Prims.int) = va_get_reg64 rR14 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 211 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg44 va_arg45 va_arg46
va_arg47) (let (va_arg43:Prims.int) = n `op_Division` 16 in let (va_arg42:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg41:Prims.int) = n in let (va_arg40:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg40 va_arg41 va_arg42
va_arg43) (let (va_arg39:Prims.int) = n `op_Division` 8 in let (va_arg38:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg37:Prims.int) = n in let (va_arg36:Prims.int) =
va_get_reg64 rRbp va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg36 va_arg37 va_arg38
va_arg39) (let (va_arg35:Prims.int) = n `op_Division` 16 in let (va_arg34:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg33:Prims.int) = n in let (va_arg32:Prims.int) =
va_get_reg64 rR14 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg32 va_arg33 va_arg34
va_arg35) (let (va_arg31:Prims.int) = n `op_Division` 8 in let (va_arg30:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg29:Prims.int) = n in let (va_arg28:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg28 va_arg29 va_arg30
va_arg31) (let (va_arg27:Prims.int) = 5 `op_Multiply` n `op_Division` 64 in let
(va_arg26:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg25:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg25 7 va_arg26 va_arg27)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 218 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_multiply r1) (fun (va_s:va_state) (hd:int) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_reduce ()) (fun (va_s:va_state) (hh:int) -> va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 220 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 221 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(l_and (hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_s) + va_mul_nat n (va_get_reg64
rRbx va_s) + va_get_reg64 rR14 va_s) (va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p))
(va_QEmpty ((hh)))))))))))))))
val va_lemma_Poly1305_iteration : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_iteration ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp (va_mul_nat h r) ==
Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_iteration va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_iteration va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_iteration ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 180 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 201 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp (va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_iteration (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1) /\ (forall (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp
(va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_iteration : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_iteration r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_iteration ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_iteration r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_iteration (va_code_Poly1305_iteration ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_iteration (r1:nat64) : (va_quickCode int (va_code_Poly1305_iteration ())) =
(va_QProc (va_code_Poly1305_iteration ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRax]) (va_wp_Poly1305_iteration r1) (va_wpProof_Poly1305_iteration r1))
//--
//-- Poly1305_blocks_body0
val va_code_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_body0 () =
(va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Public))
(va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_CCons
(va_code_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (va_CCons
(va_code_Poly1305_iteration ()) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64
1)) (va_CNil ())))))))))))
val va_codegen_success_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_body0 () =
(va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0)
(va_op_reg64_reg64 rRsi) 0 Public)) (va_pbool_and (va_codegen_success_Mem64_lemma ())
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64
(va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_pbool_and
(va_codegen_success_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi)
(va_const_opr64 16)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Poly1305_iteration ())
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1))
(va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_body0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in let (nn:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (hp:int) = h in let (h:int) = h +
va_mul_nat (va_mul_nat nn nn) (va_get_reg64 rRcx va_s) + va_mul_nat nn
(Vale.X64.Decls.buffer64_read inp_b (word_index + 1) (va_get_mem_heaplet 0 va_s)) +
Vale.X64.Decls.buffer64_read inp_b word_index (va_get_mem_heaplet 0 va_s) in let (hq:int) = h
in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inp_b word_index
Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 0 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inp_b
(word_index + 1) Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 355 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 356 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state)
_ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 358 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hq == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat nn nn) + va_mul_nat (va_get_reg64 rRbx
va_s) nn + va_get_reg64 rR14 va_s) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 360 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration (va_get_reg64 rR12 va_s)) (fun (va_s:va_state) (h:int) -> va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 362 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 363 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1)) (fun (va_s:va_state) _ -> let
(word_index:nat) = word_index + 2 in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 366 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index) (let
(va_arg50:Prims.int) = word_index in let (va_arg49:(FStar.Seq.Base.seq Vale.X64.Memory.nat64))
= Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b in let (va_arg48:Prims.int)
= r in let (va_arg47:Prims.int) = va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let
(va_arg46:Prims.int) = Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 368 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg46 va_arg47 va_arg48
va_arg49 va_arg50) (let (va_arg45:Prims.int) = word_index - 2 in let
(va_arg44:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg43:Prims.int) = r in let (va_arg42:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let (va_arg41:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 369 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg41 va_arg42 va_arg43
va_arg44 va_arg45) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 370 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:Prims.int) = r in let (va_arg39:Prims.int) = hq - hp in let (va_arg38:Prims.int) = hp
in let (va_arg37:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg37 va_arg38 va_arg39 va_arg40)
(va_QEmpty (())))))) (va_QEmpty ((h, word_index)))))))))))))))
val va_lemma_Poly1305_blocks_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old /\ va_get_reg64 rR15 va_s0 =!= 0))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15
va_s0) /\ va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_body0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_body0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_body0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 345 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
va_get_reg64 rR15 va_s0 =!= 0 /\ (forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_rax:nat64) (va_x_rbp:nat64) (va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int)
(word_index:nat) . let va_sM = va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64
rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10 (va_upd_ok va_x_ok (va_upd_flags va_x_efl
va_s0))))))))))) in va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n ==
va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\
va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h ==
va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64
rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12
va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64
rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM ==
va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM
== va_get_reg64 rRsi va_old + va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64
/\ va_in_length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8
`op_Multiply` (word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8
`op_Multiply` word_index == va_in_length /\ va_get_reg64 rRsi va_sM + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) +
8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_sM < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM)
(va_get_reg64 rRdi va_sM) va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old /\
precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_body0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int ->
va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_body0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_body0 (va_code_Poly1305_blocks_body0
()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r
va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_body0 ())) =
(va_QProc (va_code_Poly1305_blocks_body0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64
rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks_while0
val va_code_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_while0 () =
(va_Block (va_CCons (va_While (va_cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (va_Block
(va_CCons (va_code_Poly1305_blocks_body0 ()) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_while0 () =
(va_pbool_and (va_codegen_success_Poly1305_blocks_body0 ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_while0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_qWhile va_mods (Cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (fun va_g -> let (h:int) =
let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g in
word_index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_body0 va_old ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QEmpty ((h, word_index))))) (fun
(va_s:va_state) va_g -> let (h:int) = let (h, word_index) = va_g in h in let (word_index:nat) =
let (h, word_index) = va_g in word_index in va_get_ok va_s /\ n == pow2_64 /\ va_mul_nat n n ==
va_mul_nat pow2_64 pow2_64 /\ p == va_mul_nat n n `op_Multiply` 4 - 5 /\ r == va_mul_nat
(va_get_reg64 rR12 va_s) n + va_get_reg64 rR11 va_s /\ h == va_mul_nat (va_get_reg64 rRbp va_s)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s) pow2_64 + va_get_reg64 rR14
va_s /\ va_get_reg64 rR11 va_s < n `op_Division` 16 /\ va_get_reg64 rR12 va_s < n `op_Division`
16 /\ va_get_reg64 rR12 va_s `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s == va_get_reg64 rR12
va_s + va_get_reg64 rR12 va_s `op_Division` 4 /\ va_get_reg64 rRbp va_s < 5 /\ va_get_reg64
rRax va_s == va_get_reg64 rR12 va_s /\ va_get_reg64 rRsi va_s + 16 `op_Multiply` va_get_reg64
rR15 va_s == va_get_reg64 rRsi va_old + length /\ va_get_reg64 rRsi va_old + length < pow2_64
/\ length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s =!= 0 ==> 8 `op_Multiply`
(word_index + 1) <= length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s + 8 `op_Multiply`
word_index == length /\ va_get_reg64 rRsi va_s + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 inp_b (va_get_mem_heaplet 0 va_s) + 8 `op_Multiply` word_index /\
va_get_reg64 rR15 va_s `op_Multiply` 16 <= length /\ va_get_reg64 rRcx va_s < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s) (va_get_reg64 rRdi va_s) ctx_b 24
(va_get_mem_layout va_s) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s)
(va_get_reg64 rRsi va_old) inp_b (length `op_Division` 8) (va_get_mem_layout va_s) Public /\
va_get_reg64 rRdi va_s == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s == va_get_reg64
rRcx va_old /\ (va_get_reg64 rRsi va_s - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index /\
va_get_mem_heaplet 1 va_s == va_get_mem_heaplet 1 va_old) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in va_get_reg64 rR15 va_s) ((h, word_index))) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in let va_g = (h, word_index) in let ((h:int), (word_index:nat)) = va_g in
va_QEmpty ((h, word_index)))))
val va_lemma_Poly1305_blocks_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_while0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) /\ va_state_eq va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_while0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_while0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_while0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(~(va_get_reg64 rR15 va_sM =!= 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
(forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r14:nat64)
(va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_rax:nat64) (va_x_rbp:nat64)
(va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int) (word_index:nat) . let va_sM =
va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_ok va_x_ok (va_upd_flags va_x_efl va_s0))))))))))) in va_get_ok va_sM /\ va_in_n ==
pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat
va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n
+ va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64
pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\
va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM ==
va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM <
5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16
`op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ 16
`op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length /\
va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b
(va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM
`op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_while0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int
-> va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_while0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length
va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_while0
(va_code_Poly1305_blocks_while0 ()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_while0 ())) =
(va_QProc (va_code_Poly1305_blocks_while0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx;
va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks
val va_code_Poly1305_blocks : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks () =
(va_Block (va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi) 24 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRdi) 32
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rR14) (va_op_reg_opr64_reg64 rRdi) 0 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRdi) 8
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rRbp) (va_op_reg_opr64_reg64 rRdi) 16 Public) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rR12) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rR13)
(va_const_shift_amt64 2)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rR13)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Poly1305_blocks_while0 ()) (va_CCons
(va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR14) 0 Public) (va_CCons (va_code_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRbx) 8
Public) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64
rRdi) (va_op_reg_opr64_reg64 rRbp) 16 Public) (va_CNil ())))))))))))))))))
val va_codegen_success_Poly1305_blocks : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks () =
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx))
(va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdi) 24 Public) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13)
(va_op_reg_opr64_reg64 rRdi) 32 Public) (va_pbool_and (va_codegen_success_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR14) (va_op_reg_opr64_reg64 rRdi) 0
Public) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRdi) 8 Public) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbp)
(va_op_reg_opr64_reg64 rRdi) 16 Public) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Shr64
(va_op_dst_opr64_reg64 rR13) (va_const_shift_amt64 2)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_pbool_and (va_codegen_success_Add64
(va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rR12)) (va_pbool_and
(va_codegen_success_Poly1305_blocks_while0 ()) (va_pbool_and (va_codegen_success_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR14) 0
Public) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRbx) 8 Public) (va_pbool_and
(va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbp) 16 Public) (va_ttrue ()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks (va_mods:va_mods_t) (r:int) (h_in:int) (ctx_b:buffer64)
(inp_b:buffer64) : (va_quickCode (int) (va_code_Poly1305_blocks ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 285 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (let (length:int) = va_get_reg64 rRdx
va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 289 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 292 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 294 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi) 24 Public ctx_b 3) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 295 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13)
(va_op_reg_opr64_reg64 rRdi) 32 Public ctx_b 4) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 297 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR14)
(va_op_reg_opr64_reg64 rRdi) 0 Public ctx_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 298 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbx)
(va_op_reg_opr64_reg64 rRdi) 8 Public ctx_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 299 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbp)
(va_op_reg_opr64_reg64 rRdi) 16 Public ctx_b 2) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 301 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR13) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 303 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 304 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rR12)) (fun (va_s:va_state) _
-> let (h:int) = h_in in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 307 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) 0) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 309 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg39:Prims.int) = r in let (va_arg38:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n) in let (va_arg37:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 310 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg37 va_arg38 va_arg39
va_arg40 0) (va_QEmpty (())))) (let (word_index:nat) = 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 315 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_while0 va_old_s ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 374 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR14) 0 Public ctx_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 375 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbx) 8 Public ctx_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 376 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbp) 16 Public ctx_b 2) (va_QEmpty ((h)))))))))))))))))))))
val va_lemma_Poly1305_blocks : va_b0:va_code -> va_s0:va_state -> r:int -> h_in:int ->
ctx_b:buffer64 -> inp_b:buffer64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64 rRdx va_s0 `op_Modulus` 16 == 0 /\
va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 < pow2_64 /\ Vale.X64.Decls.validDstAddrs64
(va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) ctx_b 24 (va_get_mem_layout va_s0)
Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0)
inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout va_s0) Public /\ (let h0_in
= Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_s0) in let h1_in =
Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_s0) in let h2_in =
Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_s0) in let r0_in =
Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_s0) in let r1_in =
Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_s0) in h_in == va_mul_nat h2_in
(va_mul_nat n n) + va_mul_nat h1_in n + h0_in /\ r == va_mul_nat r1_in n + r0_in /\ r0_in < n
`op_Division` 16 /\ r1_in < n `op_Division` 16 /\ r1_in `op_Modulus` 4 == 0 /\ h2_in < 5 /\
va_get_reg64 rRcx va_s0 < 2))))
(ensures (fun (va_sM, va_fM, h) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64
rRbp va_sM < 5 /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64
rRdi va_sM) ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0
`op_Division` 8) (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.modifies_buffer_specific
ctx_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM) 0 2 /\ va_get_reg64 rR14 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbx va_sM
== Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbp va_sM
== Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR11 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR12 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR13 va_sM
== va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRsi va_sM
== va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRcx va_sM == va_get_reg64
rRcx va_s0 /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 /\ (let r0_in =
Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) in let r1_in =
Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) in h == va_mul_nat
(va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM)
pow2_64 + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0 `op_Division` 8))) /\ va_state_eq
va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rRax va_sM (va_update_reg64 rRbp 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_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx 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_Poly1305_blocks va_b0 va_s0 r h_in ctx_b inp_b =
let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64
rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rRdx; va_Mod_reg64 rRsi; va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_Poly1305_blocks va_mods r h_in ctx_b inp_b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let h = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in label
va_range1
"***** POSTCONDITION NOT MET AT line 264 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 265 column 66 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) ctx_b 24
(va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 266 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_s0) inp_b
(va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 267 column 65 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific ctx_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet
1 va_sM) 0 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 268 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR14 va_sM == Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 269 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 270 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM == Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 271 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 272 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM == Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 273 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 274 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 277 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 278 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 280 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) in label
va_range1
"***** POSTCONDITION NOT MET AT line 281 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) in label
va_range1
"***** POSTCONDITION NOT MET AT line 282 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 283 column 118 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0
`op_Division` 8)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_ok; va_Mod_mem]) va_sM va_s0;
let h = va_g in
(va_sM, va_fM, h)
[@ va_qattr]
let va_wp_Poly1305_blocks (r:int) (h_in:int) (ctx_b:buffer64) (inp_b:buffer64) (va_s0:va_state)
(va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64
rRdx va_s0 `op_Modulus` 16 == 0 /\ va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 < pow2_64
/\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) ctx_b
24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0
va_s0) (va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8)
(va_get_mem_layout va_s0) Public /\ (let h0_in = Vale.X64.Decls.buffer64_read ctx_b 0
(va_get_mem_heaplet 1 va_s0) in let h1_in = Vale.X64.Decls.buffer64_read ctx_b 1
(va_get_mem_heaplet 1 va_s0) in let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2
(va_get_mem_heaplet 1 va_s0) in let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3
(va_get_mem_heaplet 1 va_s0) in let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4
(va_get_mem_heaplet 1 va_s0) in h_in == va_mul_nat h2_in (va_mul_nat n n) + va_mul_nat h1_in n
+ h0_in /\ r == va_mul_nat r1_in n + r0_in /\ r0_in < n `op_Division` 16 /\ r1_in < n
`op_Division` 16 /\ r1_in `op_Modulus` 4 == 0 /\ h2_in < 5 /\ va_get_reg64 rRcx va_s0 < 2)) /\
(forall (va_x_mem:vale_heap) (va_x_rsi:nat64) (va_x_rdx:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_r10:nat64) (va_x_r11:nat64) (va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64)
(va_x_rbx:nat64) (va_x_rbp:nat64) (va_x_rax:nat64) (va_x_r15:nat64) (va_x_efl:Vale.X64.Flags.t)
(va_x_heap1:vale_heap) (h:int) . let va_sM = va_upd_mem_heaplet 1 va_x_heap1 (va_upd_flags
va_x_efl (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRbp va_x_rbp
(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_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRsi va_x_rsi (va_upd_mem va_x_mem va_s0))))))))))))))) in va_get_ok va_sM /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64 rRbp va_sM < 5 /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) ctx_b 24
(va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM)
(va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout
va_sM) Public /\ Vale.X64.Decls.modifies_buffer_specific ctx_b (va_get_mem_heaplet 1 va_s0)
(va_get_mem_heaplet 1 va_sM) 0 2 /\ va_get_reg64 rR14 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 0 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbx va_sM == Vale.X64.Decls.buffer64_read
ctx_b 1 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbp va_sM == Vale.X64.Decls.buffer64_read
ctx_b 2 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 3 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR12 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 4 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM +
va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 +
va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0 /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_s0 /\ (let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3
(va_get_mem_heaplet 1 va_sM) in let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4
(va_get_mem_heaplet 1 va_sM) in h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64
pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0
`op_Division` 8))) ==> va_k va_sM ((h))))
val va_wpProof_Poly1305_blocks : r:int -> h_in:int -> ctx_b:buffer64 -> inp_b:buffer64 ->
va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks r h_in ctx_b inp_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks ())
([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi;
va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks r h_in ctx_b inp_b va_s0 va_k =
let (va_sM, va_f0, h) = va_lemma_Poly1305_blocks (va_code_Poly1305_blocks ()) va_s0 r h_in ctx_b
inp_b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM (va_update_reg64
rR15 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRbp 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_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx 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_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_mem]) va_sM va_s0;
let va_g = (h) in
(va_sM, va_f0, va_g) | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
r: Prims.int ->
h_in: Prims.int ->
ctx_b: Vale.X64.Memory.buffer64 ->
inp_b: Vale.X64.Memory.buffer64
-> Vale.X64.QuickCode.va_quickCode Prims.int (Vale.Poly1305.X64.va_code_Poly1305_blocks ()) | Prims.Tot | [
"total"
] | [] | [
"Prims.int",
"Vale.X64.Memory.buffer64",
"Vale.X64.QuickCode.va_QProc",
"Vale.Poly1305.X64.va_code_Poly1305_blocks",
"Prims.Cons",
"Vale.X64.QuickCode.mod_t",
"Vale.X64.QuickCode.va_Mod_mem_heaplet",
"Vale.X64.QuickCode.va_Mod_flags",
"Vale.X64.QuickCode.va_Mod_reg64",
"Vale.X64.Machine_s.rR15",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Machine_s.rR13",
"Vale.X64.Machine_s.rR12",
"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.rRsi",
"Vale.X64.QuickCode.va_Mod_mem",
"Prims.Nil",
"Vale.Poly1305.X64.va_wp_Poly1305_blocks",
"Vale.Poly1305.X64.va_wpProof_Poly1305_blocks",
"Vale.X64.QuickCode.va_quickCode"
] | [] | false | false | false | false | false | let va_quick_Poly1305_blocks (r h_in: int) (ctx_b inp_b: buffer64)
: (va_quickCode int (va_code_Poly1305_blocks ())) =
| (va_QProc (va_code_Poly1305_blocks ())
([
va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_mem
])
(va_wp_Poly1305_blocks r h_in ctx_b inp_b)
(va_wpProof_Poly1305_blocks r h_in ctx_b inp_b)) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_wp_Poly1305_reduce_last | val va_wp_Poly1305_reduce_last (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 | val va_wp_Poly1305_reduce_last (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 | let va_wp_Poly1305_reduce_last (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (h:Prims.int) = Vale.Poly1305.Math.lowerUpper192
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0))
(va_get_reg64 rRbp va_s0) in va_get_reg64 rRbp va_s0 < 5) /\ (forall (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_rax:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64
rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rRax
va_x_rax (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8
va_s0))))))) in va_get_ok va_sM /\ (let (h:Prims.int) = Vale.Poly1305.Math.lowerUpper192
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0))
(va_get_reg64 rRbp va_s0) in Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM)
(va_get_reg64 rRbx va_sM) == Vale.Poly1305.Spec_s.mod2_128 (Vale.Poly1305.Spec_s.modp h)) ==>
va_k va_sM (()))) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 21,
"end_line": 2179,
"start_col": 0,
"start_line": 2167
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce)
//--
//-- Poly1305_iteration
val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_iteration () =
(va_Block (va_CCons (va_code_Poly1305_multiply ()) (va_CCons (va_code_Poly1305_reduce ())
(va_CNil ()))))
val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_iteration () =
(va_pbool_and (va_codegen_success_Poly1305_multiply ()) (va_pbool_and
(va_codegen_success_Poly1305_reduce ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_iteration (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_iteration ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in let (va_arg50:Prims.int) = n `op_Division` 16 in let
(va_arg49:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg48:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg48 7 va_arg49 va_arg50)
(let (va_arg47:Prims.int) = n `op_Division` 16 in let (va_arg46:Prims.int) = r1 in let
(va_arg45:Prims.int) = n in let (va_arg44:Prims.int) = va_get_reg64 rR14 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 211 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg44 va_arg45 va_arg46
va_arg47) (let (va_arg43:Prims.int) = n `op_Division` 16 in let (va_arg42:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg41:Prims.int) = n in let (va_arg40:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg40 va_arg41 va_arg42
va_arg43) (let (va_arg39:Prims.int) = n `op_Division` 8 in let (va_arg38:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg37:Prims.int) = n in let (va_arg36:Prims.int) =
va_get_reg64 rRbp va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg36 va_arg37 va_arg38
va_arg39) (let (va_arg35:Prims.int) = n `op_Division` 16 in let (va_arg34:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg33:Prims.int) = n in let (va_arg32:Prims.int) =
va_get_reg64 rR14 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg32 va_arg33 va_arg34
va_arg35) (let (va_arg31:Prims.int) = n `op_Division` 8 in let (va_arg30:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg29:Prims.int) = n in let (va_arg28:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg28 va_arg29 va_arg30
va_arg31) (let (va_arg27:Prims.int) = 5 `op_Multiply` n `op_Division` 64 in let
(va_arg26:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg25:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg25 7 va_arg26 va_arg27)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 218 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_multiply r1) (fun (va_s:va_state) (hd:int) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_reduce ()) (fun (va_s:va_state) (hh:int) -> va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 220 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 221 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(l_and (hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_s) + va_mul_nat n (va_get_reg64
rRbx va_s) + va_get_reg64 rR14 va_s) (va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p))
(va_QEmpty ((hh)))))))))))))))
val va_lemma_Poly1305_iteration : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_iteration ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp (va_mul_nat h r) ==
Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_iteration va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_iteration va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_iteration ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 180 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 201 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp (va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_iteration (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1) /\ (forall (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp
(va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_iteration : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_iteration r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_iteration ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_iteration r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_iteration (va_code_Poly1305_iteration ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_iteration (r1:nat64) : (va_quickCode int (va_code_Poly1305_iteration ())) =
(va_QProc (va_code_Poly1305_iteration ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRax]) (va_wp_Poly1305_iteration r1) (va_wpProof_Poly1305_iteration r1))
//--
//-- Poly1305_blocks_body0
val va_code_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_body0 () =
(va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Public))
(va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_CCons
(va_code_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (va_CCons
(va_code_Poly1305_iteration ()) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64
1)) (va_CNil ())))))))))))
val va_codegen_success_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_body0 () =
(va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0)
(va_op_reg64_reg64 rRsi) 0 Public)) (va_pbool_and (va_codegen_success_Mem64_lemma ())
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64
(va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_pbool_and
(va_codegen_success_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi)
(va_const_opr64 16)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Poly1305_iteration ())
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1))
(va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_body0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in let (nn:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (hp:int) = h in let (h:int) = h +
va_mul_nat (va_mul_nat nn nn) (va_get_reg64 rRcx va_s) + va_mul_nat nn
(Vale.X64.Decls.buffer64_read inp_b (word_index + 1) (va_get_mem_heaplet 0 va_s)) +
Vale.X64.Decls.buffer64_read inp_b word_index (va_get_mem_heaplet 0 va_s) in let (hq:int) = h
in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inp_b word_index
Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 0 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inp_b
(word_index + 1) Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 355 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 356 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state)
_ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 358 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hq == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat nn nn) + va_mul_nat (va_get_reg64 rRbx
va_s) nn + va_get_reg64 rR14 va_s) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 360 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration (va_get_reg64 rR12 va_s)) (fun (va_s:va_state) (h:int) -> va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 362 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 363 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1)) (fun (va_s:va_state) _ -> let
(word_index:nat) = word_index + 2 in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 366 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index) (let
(va_arg50:Prims.int) = word_index in let (va_arg49:(FStar.Seq.Base.seq Vale.X64.Memory.nat64))
= Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b in let (va_arg48:Prims.int)
= r in let (va_arg47:Prims.int) = va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let
(va_arg46:Prims.int) = Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 368 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg46 va_arg47 va_arg48
va_arg49 va_arg50) (let (va_arg45:Prims.int) = word_index - 2 in let
(va_arg44:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg43:Prims.int) = r in let (va_arg42:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let (va_arg41:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 369 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg41 va_arg42 va_arg43
va_arg44 va_arg45) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 370 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:Prims.int) = r in let (va_arg39:Prims.int) = hq - hp in let (va_arg38:Prims.int) = hp
in let (va_arg37:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg37 va_arg38 va_arg39 va_arg40)
(va_QEmpty (())))))) (va_QEmpty ((h, word_index)))))))))))))))
val va_lemma_Poly1305_blocks_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old /\ va_get_reg64 rR15 va_s0 =!= 0))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15
va_s0) /\ va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_body0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_body0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_body0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 345 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
va_get_reg64 rR15 va_s0 =!= 0 /\ (forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_rax:nat64) (va_x_rbp:nat64) (va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int)
(word_index:nat) . let va_sM = va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64
rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10 (va_upd_ok va_x_ok (va_upd_flags va_x_efl
va_s0))))))))))) in va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n ==
va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\
va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h ==
va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64
rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12
va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64
rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM ==
va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM
== va_get_reg64 rRsi va_old + va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64
/\ va_in_length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8
`op_Multiply` (word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8
`op_Multiply` word_index == va_in_length /\ va_get_reg64 rRsi va_sM + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) +
8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_sM < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM)
(va_get_reg64 rRdi va_sM) va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old /\
precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_body0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int ->
va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_body0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_body0 (va_code_Poly1305_blocks_body0
()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r
va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_body0 ())) =
(va_QProc (va_code_Poly1305_blocks_body0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64
rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks_while0
val va_code_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_while0 () =
(va_Block (va_CCons (va_While (va_cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (va_Block
(va_CCons (va_code_Poly1305_blocks_body0 ()) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_while0 () =
(va_pbool_and (va_codegen_success_Poly1305_blocks_body0 ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_while0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_qWhile va_mods (Cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (fun va_g -> let (h:int) =
let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g in
word_index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_body0 va_old ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QEmpty ((h, word_index))))) (fun
(va_s:va_state) va_g -> let (h:int) = let (h, word_index) = va_g in h in let (word_index:nat) =
let (h, word_index) = va_g in word_index in va_get_ok va_s /\ n == pow2_64 /\ va_mul_nat n n ==
va_mul_nat pow2_64 pow2_64 /\ p == va_mul_nat n n `op_Multiply` 4 - 5 /\ r == va_mul_nat
(va_get_reg64 rR12 va_s) n + va_get_reg64 rR11 va_s /\ h == va_mul_nat (va_get_reg64 rRbp va_s)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s) pow2_64 + va_get_reg64 rR14
va_s /\ va_get_reg64 rR11 va_s < n `op_Division` 16 /\ va_get_reg64 rR12 va_s < n `op_Division`
16 /\ va_get_reg64 rR12 va_s `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s == va_get_reg64 rR12
va_s + va_get_reg64 rR12 va_s `op_Division` 4 /\ va_get_reg64 rRbp va_s < 5 /\ va_get_reg64
rRax va_s == va_get_reg64 rR12 va_s /\ va_get_reg64 rRsi va_s + 16 `op_Multiply` va_get_reg64
rR15 va_s == va_get_reg64 rRsi va_old + length /\ va_get_reg64 rRsi va_old + length < pow2_64
/\ length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s =!= 0 ==> 8 `op_Multiply`
(word_index + 1) <= length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s + 8 `op_Multiply`
word_index == length /\ va_get_reg64 rRsi va_s + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 inp_b (va_get_mem_heaplet 0 va_s) + 8 `op_Multiply` word_index /\
va_get_reg64 rR15 va_s `op_Multiply` 16 <= length /\ va_get_reg64 rRcx va_s < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s) (va_get_reg64 rRdi va_s) ctx_b 24
(va_get_mem_layout va_s) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s)
(va_get_reg64 rRsi va_old) inp_b (length `op_Division` 8) (va_get_mem_layout va_s) Public /\
va_get_reg64 rRdi va_s == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s == va_get_reg64
rRcx va_old /\ (va_get_reg64 rRsi va_s - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index /\
va_get_mem_heaplet 1 va_s == va_get_mem_heaplet 1 va_old) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in va_get_reg64 rR15 va_s) ((h, word_index))) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in let va_g = (h, word_index) in let ((h:int), (word_index:nat)) = va_g in
va_QEmpty ((h, word_index)))))
val va_lemma_Poly1305_blocks_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_while0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) /\ va_state_eq va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_while0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_while0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_while0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(~(va_get_reg64 rR15 va_sM =!= 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
(forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r14:nat64)
(va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_rax:nat64) (va_x_rbp:nat64)
(va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int) (word_index:nat) . let va_sM =
va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_ok va_x_ok (va_upd_flags va_x_efl va_s0))))))))))) in va_get_ok va_sM /\ va_in_n ==
pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat
va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n
+ va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64
pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\
va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM ==
va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM <
5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16
`op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ 16
`op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length /\
va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b
(va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM
`op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_while0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int
-> va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_while0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length
va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_while0
(va_code_Poly1305_blocks_while0 ()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_while0 ())) =
(va_QProc (va_code_Poly1305_blocks_while0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx;
va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks
val va_code_Poly1305_blocks : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks () =
(va_Block (va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi) 24 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRdi) 32
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rR14) (va_op_reg_opr64_reg64 rRdi) 0 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRdi) 8
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rRbp) (va_op_reg_opr64_reg64 rRdi) 16 Public) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rR12) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rR13)
(va_const_shift_amt64 2)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rR13)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Poly1305_blocks_while0 ()) (va_CCons
(va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR14) 0 Public) (va_CCons (va_code_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRbx) 8
Public) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64
rRdi) (va_op_reg_opr64_reg64 rRbp) 16 Public) (va_CNil ())))))))))))))))))
val va_codegen_success_Poly1305_blocks : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks () =
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx))
(va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdi) 24 Public) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13)
(va_op_reg_opr64_reg64 rRdi) 32 Public) (va_pbool_and (va_codegen_success_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR14) (va_op_reg_opr64_reg64 rRdi) 0
Public) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRdi) 8 Public) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbp)
(va_op_reg_opr64_reg64 rRdi) 16 Public) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Shr64
(va_op_dst_opr64_reg64 rR13) (va_const_shift_amt64 2)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_pbool_and (va_codegen_success_Add64
(va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rR12)) (va_pbool_and
(va_codegen_success_Poly1305_blocks_while0 ()) (va_pbool_and (va_codegen_success_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR14) 0
Public) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRbx) 8 Public) (va_pbool_and
(va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbp) 16 Public) (va_ttrue ()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks (va_mods:va_mods_t) (r:int) (h_in:int) (ctx_b:buffer64)
(inp_b:buffer64) : (va_quickCode (int) (va_code_Poly1305_blocks ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 285 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (let (length:int) = va_get_reg64 rRdx
va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 289 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 292 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 294 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi) 24 Public ctx_b 3) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 295 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13)
(va_op_reg_opr64_reg64 rRdi) 32 Public ctx_b 4) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 297 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR14)
(va_op_reg_opr64_reg64 rRdi) 0 Public ctx_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 298 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbx)
(va_op_reg_opr64_reg64 rRdi) 8 Public ctx_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 299 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbp)
(va_op_reg_opr64_reg64 rRdi) 16 Public ctx_b 2) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 301 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR13) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 303 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 304 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rR12)) (fun (va_s:va_state) _
-> let (h:int) = h_in in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 307 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) 0) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 309 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg39:Prims.int) = r in let (va_arg38:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n) in let (va_arg37:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 310 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg37 va_arg38 va_arg39
va_arg40 0) (va_QEmpty (())))) (let (word_index:nat) = 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 315 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_while0 va_old_s ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 374 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR14) 0 Public ctx_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 375 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbx) 8 Public ctx_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 376 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbp) 16 Public ctx_b 2) (va_QEmpty ((h)))))))))))))))))))))
val va_lemma_Poly1305_blocks : va_b0:va_code -> va_s0:va_state -> r:int -> h_in:int ->
ctx_b:buffer64 -> inp_b:buffer64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64 rRdx va_s0 `op_Modulus` 16 == 0 /\
va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 < pow2_64 /\ Vale.X64.Decls.validDstAddrs64
(va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) ctx_b 24 (va_get_mem_layout va_s0)
Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0)
inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout va_s0) Public /\ (let h0_in
= Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_s0) in let h1_in =
Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_s0) in let h2_in =
Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_s0) in let r0_in =
Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_s0) in let r1_in =
Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_s0) in h_in == va_mul_nat h2_in
(va_mul_nat n n) + va_mul_nat h1_in n + h0_in /\ r == va_mul_nat r1_in n + r0_in /\ r0_in < n
`op_Division` 16 /\ r1_in < n `op_Division` 16 /\ r1_in `op_Modulus` 4 == 0 /\ h2_in < 5 /\
va_get_reg64 rRcx va_s0 < 2))))
(ensures (fun (va_sM, va_fM, h) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64
rRbp va_sM < 5 /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64
rRdi va_sM) ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0
`op_Division` 8) (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.modifies_buffer_specific
ctx_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM) 0 2 /\ va_get_reg64 rR14 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbx va_sM
== Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbp va_sM
== Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR11 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR12 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR13 va_sM
== va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRsi va_sM
== va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRcx va_sM == va_get_reg64
rRcx va_s0 /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 /\ (let r0_in =
Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) in let r1_in =
Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) in h == va_mul_nat
(va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM)
pow2_64 + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0 `op_Division` 8))) /\ va_state_eq
va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rRax va_sM (va_update_reg64 rRbp 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_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx 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_Poly1305_blocks va_b0 va_s0 r h_in ctx_b inp_b =
let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64
rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rRdx; va_Mod_reg64 rRsi; va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_Poly1305_blocks va_mods r h_in ctx_b inp_b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let h = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in label
va_range1
"***** POSTCONDITION NOT MET AT line 264 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 265 column 66 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) ctx_b 24
(va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 266 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_s0) inp_b
(va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 267 column 65 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific ctx_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet
1 va_sM) 0 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 268 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR14 va_sM == Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 269 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 270 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM == Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 271 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 272 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM == Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 273 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 274 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 277 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 278 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 280 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) in label
va_range1
"***** POSTCONDITION NOT MET AT line 281 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) in label
va_range1
"***** POSTCONDITION NOT MET AT line 282 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 283 column 118 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0
`op_Division` 8)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_ok; va_Mod_mem]) va_sM va_s0;
let h = va_g in
(va_sM, va_fM, h)
[@ va_qattr]
let va_wp_Poly1305_blocks (r:int) (h_in:int) (ctx_b:buffer64) (inp_b:buffer64) (va_s0:va_state)
(va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64
rRdx va_s0 `op_Modulus` 16 == 0 /\ va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 < pow2_64
/\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) ctx_b
24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0
va_s0) (va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8)
(va_get_mem_layout va_s0) Public /\ (let h0_in = Vale.X64.Decls.buffer64_read ctx_b 0
(va_get_mem_heaplet 1 va_s0) in let h1_in = Vale.X64.Decls.buffer64_read ctx_b 1
(va_get_mem_heaplet 1 va_s0) in let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2
(va_get_mem_heaplet 1 va_s0) in let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3
(va_get_mem_heaplet 1 va_s0) in let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4
(va_get_mem_heaplet 1 va_s0) in h_in == va_mul_nat h2_in (va_mul_nat n n) + va_mul_nat h1_in n
+ h0_in /\ r == va_mul_nat r1_in n + r0_in /\ r0_in < n `op_Division` 16 /\ r1_in < n
`op_Division` 16 /\ r1_in `op_Modulus` 4 == 0 /\ h2_in < 5 /\ va_get_reg64 rRcx va_s0 < 2)) /\
(forall (va_x_mem:vale_heap) (va_x_rsi:nat64) (va_x_rdx:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_r10:nat64) (va_x_r11:nat64) (va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64)
(va_x_rbx:nat64) (va_x_rbp:nat64) (va_x_rax:nat64) (va_x_r15:nat64) (va_x_efl:Vale.X64.Flags.t)
(va_x_heap1:vale_heap) (h:int) . let va_sM = va_upd_mem_heaplet 1 va_x_heap1 (va_upd_flags
va_x_efl (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRbp va_x_rbp
(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_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRsi va_x_rsi (va_upd_mem va_x_mem va_s0))))))))))))))) in va_get_ok va_sM /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64 rRbp va_sM < 5 /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) ctx_b 24
(va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM)
(va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout
va_sM) Public /\ Vale.X64.Decls.modifies_buffer_specific ctx_b (va_get_mem_heaplet 1 va_s0)
(va_get_mem_heaplet 1 va_sM) 0 2 /\ va_get_reg64 rR14 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 0 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbx va_sM == Vale.X64.Decls.buffer64_read
ctx_b 1 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbp va_sM == Vale.X64.Decls.buffer64_read
ctx_b 2 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 3 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR12 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 4 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM +
va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 +
va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0 /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_s0 /\ (let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3
(va_get_mem_heaplet 1 va_sM) in let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4
(va_get_mem_heaplet 1 va_sM) in h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64
pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0
`op_Division` 8))) ==> va_k va_sM ((h))))
val va_wpProof_Poly1305_blocks : r:int -> h_in:int -> ctx_b:buffer64 -> inp_b:buffer64 ->
va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks r h_in ctx_b inp_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks ())
([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi;
va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks r h_in ctx_b inp_b va_s0 va_k =
let (va_sM, va_f0, h) = va_lemma_Poly1305_blocks (va_code_Poly1305_blocks ()) va_s0 r h_in ctx_b
inp_b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM (va_update_reg64
rR15 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRbp 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_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx 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_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_mem]) va_sM va_s0;
let va_g = (h) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks (r:int) (h_in:int) (ctx_b:buffer64) (inp_b:buffer64) : (va_quickCode
int (va_code_Poly1305_blocks ())) =
(va_QProc (va_code_Poly1305_blocks ()) ([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15;
va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_mem]) (va_wp_Poly1305_blocks r h_in ctx_b inp_b)
(va_wpProof_Poly1305_blocks r h_in ctx_b inp_b))
//--
//-- Poly1305_last_block
val va_code_Poly1305_last_block : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_last_block () =
(va_Block (va_CCons (va_IfElse (va_cmp_lt (va_op_cmp_reg64 rR15) (va_const_cmp 8)) (va_Block
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_CCons
(va_code_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_CCons (va_code_Shl64
(va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Sub64
(va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ())))))))))))))))) (va_Block
(va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx)
(va_op_opr64_reg64 rR15)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64
8)) (va_CCons (va_code_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_CCons (va_code_Shl64
(va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (va_CCons (va_Block (va_CNil ()))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))))))))))) (va_CCons
(va_code_Poly1305_iteration ()) (va_CNil ()))))
val va_codegen_success_Poly1305_last_block : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_last_block () =
(va_pbool_and (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx)
(va_op_opr64_reg64 rR15)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRcx)
(va_const_shift_amt64 3)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx)
(va_const_opr64 1)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRdx)
(va_op_shift_amt64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRcx) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64
rRcx) (va_const_opr64 1)) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9)
(va_const_opr64 0)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_pbool_and
(va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 8)) (va_pbool_and
(va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_pbool_and
(va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64
rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRdx)) (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_const_opr64 0))))))))))))))))))))))))))))) (va_pbool_and
(va_codegen_success_Poly1305_iteration ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_last_block (va_mods:va_mods_t) : (va_quickCode unit
(va_code_Poly1305_last_block ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r1:nat64) = va_get_reg64 rRax va_s in let
(r:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s) r1 in
let (hBlocks:Prims.int) = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s) (va_get_reg64 rRbx va_s)) (va_get_reg64 rRbp va_s) in let
(inpLast:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s)
(va_get_reg64 rR9 va_s) in let (padLast:Prims.pos) = Prims.pow2 (va_get_reg64 rR15 va_s
`op_Multiply` 8) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 409 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_qIf va_mods (Cmp_lt (va_op_cmp_reg64 rR15) (va_const_cmp 8)) (qblock va_mods (fun
(va_s:va_state) -> let (va_arg78:Vale.Def.Types_s.nat64) = va_get_reg64 rR15 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 410 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_shift_power2 va_arg78) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 412 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 413 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 414 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (fun
(va_s:va_state) _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 415 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdx va_s == padLast) (let (va_arg77:Vale.Def.Types_s.nat64) = va_get_reg64 rR15
va_s in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 417 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_and_mod va_arg76 va_arg77) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 419 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(padLast == Vale.Poly1305.Math.shift_left64 1 (Vale.Poly1305.Math.shift_left64 (va_get_reg64
rR15 va_s) 3)) (let (va_arg75:Prims.int) = Prims.pow2 (va_get_reg64 rR15 va_s `op_Multiply` 8)
in let (va_arg74:Prims.int) = va_get_reg64 rR15 va_s in let (va_arg73:Vale.Def.Types_s.nat64) =
va_get_reg64 rR9 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 420 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mod_power2_lo va_arg72 va_arg73 va_arg74 va_arg75)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 421 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 422 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 425 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR8 va_s == va_get_reg64 rR8 va_old_s `op_Modulus` padLast) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 426 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) == inpLast
`op_Modulus` padLast) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 429 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 430 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 431 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 433 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 434 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 435 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QEmpty
(())))))))))))))))))))))))) (qblock va_mods (fun (va_s:va_state) -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 437 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_s - 8 >= 0 /\ va_get_reg64 rR15 va_s - 8 <= 255) (fun _ -> let
(nExtra8:nat8) = va_get_reg64 rR15 va_s - 8 in let (va_arg85:Vale.Def.Types_s.nat64) = nExtra8
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_shift_power2 va_arg85) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 441 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 442 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 443 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (fun
(va_s:va_state) _ -> va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 445 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(padLast == Vale.Poly1305.Math.lowerUpper128 0 (va_get_reg64 rRdx va_s)) (let
(va_arg84:Prims.nat) = 8 `op_Multiply` nExtra8 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 446 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_power2_add64 va_arg84) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 447 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (())))) (let
(va_arg83:Vale.Def.Types_s.nat64) = nExtra8 in let (va_arg82:Vale.Def.Types_s.nat64) =
va_get_reg64 rR9 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 451 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_and_mod va_arg82 va_arg83) (va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 452 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Prims.pow2 (8 `op_Multiply` nExtra8) >= 0 /\ Prims.pow2 (8 `op_Multiply` nExtra8) <=
18446744073709551615) (fun _ -> let (va_arg81:Vale.Def.Types_s.nat64) = Prims.pow2 (8
`op_Multiply` nExtra8) in let (va_arg80:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let
(va_arg79:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 452 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mod_hi va_arg79 va_arg80 va_arg81) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 453 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 454 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 455 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ ->
va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 456 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) == inpLast
`op_Modulus` padLast) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 459 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 460 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 461 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 463 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 464 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 465 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QEmpty
(()))))))))))))))))))))))))) (fun (va_s:va_state) va_g -> let (h:int) = hBlocks + inpLast
`op_Modulus` padLast + padLast in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 469 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx
va_s) n + va_get_reg64 rR14 va_s) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 469 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper192_reveal ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 469 column 93 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (())))) (va_qAssertBy
va_range1
"***** PRECONDITION NOT MET AT line 470 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(r == va_mul_nat r1 n + va_get_reg64 rR11 va_s) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 470 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (()))) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 471 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration r1) (fun (va_s:va_state) (hLast:int) -> va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 472 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hLast == Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14
va_s) (va_get_reg64 rRbx va_s)) (va_get_reg64 rRbp va_s)) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 472 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper192_reveal ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 472 column 111 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (())))) (let
(va_arg71:Prims.int) = r in let (va_arg70:Prims.int) = inpLast `op_Modulus` padLast + padLast
in let (va_arg69:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 473 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg69 hBlocks va_arg70 va_arg71)
(va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 474 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp ((Vale.Poly1305.Spec_s.modp
hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply` r)) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 474 column 90 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_QEmpty (()))) (va_QEmpty (()))))))))))
val va_lemma_Poly1305_last_block : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Poly1305_last_block ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in
va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n
`op_Division` 16 /\ r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division`
4 /\ (1 <= va_get_reg64 rR15 va_s0 /\ va_get_reg64 rR15 va_s0 < 16))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in
va_get_reg64 rRbp va_sM < 5 /\ (let padLast = Prims.pow2 (va_get_reg64 rR15 va_sM `op_Multiply`
8) in let hLast = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM)) (va_get_reg64 rRbp va_sM) in
Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp ((Vale.Poly1305.Spec_s.modp
hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply` r))) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_last_block va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_last_block va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_last_block ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 380 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in label
va_range1
"***** POSTCONDITION NOT MET AT line 402 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let padLast = Prims.pow2 (va_get_reg64 rR15 va_sM `op_Multiply` 8) in label va_range1
"***** POSTCONDITION NOT MET AT line 404 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let hLast = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64
rR14 va_sM) (va_get_reg64 rRbx va_sM)) (va_get_reg64 rRbp va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 405 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp ((Vale.Poly1305.Spec_s.modp
hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply` r)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Poly1305_last_block (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in
va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n
`op_Division` 16 /\ r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division`
4 /\ (1 <= va_get_reg64 rR15 va_s0 /\ va_get_reg64 rR15 va_s0 < 16)) /\ (forall
(va_x_rax:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64) (va_x_efl:Vale.X64.Flags.t)
. let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax
va_s0))))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r1:nat64) = va_get_reg64 rRax va_s0 in let
(r:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in
let (hBlocks:Prims.int) = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let
(inpLast:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0)
(va_get_reg64 rR9 va_s0) in va_get_reg64 rRbp va_sM < 5 /\ (let padLast = Prims.pow2
(va_get_reg64 rR15 va_sM `op_Multiply` 8) in let hLast = Vale.Poly1305.Math.lowerUpper192
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM))
(va_get_reg64 rRbp va_sM) in Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp
((Vale.Poly1305.Spec_s.modp hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply`
r))) ==> va_k va_sM (())))
val va_wpProof_Poly1305_last_block : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_last_block va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_last_block ())
([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10;
va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_last_block va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Poly1305_last_block (va_code_Poly1305_last_block ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_last_block () : (va_quickCode unit (va_code_Poly1305_last_block ())) =
(va_QProc (va_code_Poly1305_last_block ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Poly1305_last_block va_wpProof_Poly1305_last_block)
//--
//-- Poly1305_reduce_last
val va_code_Poly1305_reduce_last : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce_last () =
(va_Block (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rR14))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_const_opr64 5)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Shr64
(va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Sub64Wrap
(va_op_dst_opr64_reg64 rRax) (va_const_opr64 1)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Sub64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Add64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Add64
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_CNil ())))))))))))))))))))
val va_codegen_success_Poly1305_reduce_last : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce_last () =
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rR14))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_const_opr64 5))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rRax) (va_const_opr64 1))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0))
(va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRax)) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64
rRax)) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64
rR8)) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR9)) (va_ttrue ()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce_last (va_mods:va_mods_t) : (va_quickCode unit
(va_code_Poly1305_reduce_last ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s)
(va_get_reg64 rRbx va_s)) (va_get_reg64 rRbp va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 490 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 492 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 493 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 494 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 495 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_const_opr64 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 496 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 497 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 499 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h + 5 == Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8
va_s) (va_get_reg64 rR9 va_s)) (va_get_reg64 rR10 va_s)) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 500 column 34 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 500 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper192_reveal ()) (va_QEmpty (())))) (let
(va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let
(va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let
(va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg29:Prims.int) = h + 5
in let (va_arg28:Vale.Def.Types_s.nat64) = va_get_reg64 rR14 va_old_s in let
(va_arg27:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_old_s in let
(va_arg26:Vale.Def.Types_s.nat64) = va_get_reg64 rRbp va_old_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 501 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_reduce128 h va_arg26 va_arg27 va_arg28 va_arg29
va_arg30 va_arg31 va_arg32) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 503 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 505 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 506 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rRax) (va_const_opr64 1)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 508 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 509 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 511 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 512 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 514 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 515 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 518 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 519 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QEmpty
(())))))))))))))))))))))))
val va_lemma_Poly1305_reduce_last : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce_last ()) va_s0 /\ va_get_ok va_s0 /\
(let (h:Prims.int) = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in va_get_reg64
rRbp va_s0 < 5)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h:Prims.int) = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM) ==
Vale.Poly1305.Spec_s.mod2_128 (Vale.Poly1305.Spec_s.modp h)) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce_last va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rRax; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce_last va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce_last ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 478 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (h:Prims.int) = Vale.Poly1305.Math.lowerUpper192
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0))
(va_get_reg64 rRbp va_s0) in label va_range1
"***** POSTCONDITION NOT MET AT line 488 column 51 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM) ==
Vale.Poly1305.Spec_s.mod2_128 (Vale.Poly1305.Spec_s.modp h)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rRax; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM) | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0)
-> Type0 | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.Decls.va_state",
"Prims.unit",
"Prims.l_and",
"Prims.b2t",
"Vale.X64.Decls.va_get_ok",
"Prims.op_LessThan",
"Vale.X64.Decls.va_get_reg64",
"Vale.X64.Machine_s.rRbp",
"Prims.int",
"Vale.Poly1305.Math.lowerUpper192",
"Vale.Poly1305.Math.lowerUpper128",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Machine_s.rRbx",
"Prims.l_Forall",
"Vale.X64.Memory.nat64",
"Vale.X64.Flags.t",
"Prims.l_imp",
"Prims.eq2",
"Vale.Poly1305.Spec_s.mod2_128",
"Vale.Poly1305.Spec_s.modp",
"Vale.X64.State.vale_state",
"Vale.X64.Decls.va_upd_flags",
"Vale.X64.Decls.va_upd_reg64",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Machine_s.rR10",
"Vale.X64.Machine_s.rR9",
"Vale.X64.Machine_s.rR8"
] | [] | false | false | false | true | true | let va_wp_Poly1305_reduce_last (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 =
| (va_get_ok va_s0 /\
(let h:Prims.int =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0))
(va_get_reg64 rRbp va_s0)
in
va_get_reg64 rRbp va_s0 < 5) /\
(forall (va_x_r8: nat64)
(va_x_r9: nat64)
(va_x_r10: nat64)
(va_x_rax: nat64)
(va_x_r14: nat64)
(va_x_rbx: nat64)
(va_x_rbp: nat64)
(va_x_efl: Vale.X64.Flags.t).
let va_sM =
va_upd_flags va_x_efl
(va_upd_reg64 rRbp
va_x_rbp
(va_upd_reg64 rRbx
va_x_rbx
(va_upd_reg64 rR14
va_x_r14
(va_upd_reg64 rRax
va_x_rax
(va_upd_reg64 rR10
va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))))))
in
va_get_ok va_sM /\
(let h:Prims.int =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14
va_s0)
(va_get_reg64 rRbx va_s0))
(va_get_reg64 rRbp va_s0)
in
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM) ==
Vale.Poly1305.Spec_s.mod2_128 (Vale.Poly1305.Spec_s.modp h)) ==>
va_k va_sM (()))) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_wp_Poly1305_blocks_while0 | val va_wp_Poly1305_blocks_while0
(va_old: va_state)
(va_in_ctx_b: buffer64)
(va_in_h_in: int)
(va_in_inp_b: buffer64)
(va_in_length: int)
(va_in_n: (va_int_range 18446744073709551616 18446744073709551616))
(va_in_p:
(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819))
(va_in_r va_in_h: int)
(va_in_word_index: nat)
(va_s0: va_state)
(va_k: (va_state -> (int & nat) -> Type0))
: Type0 | val va_wp_Poly1305_blocks_while0
(va_old: va_state)
(va_in_ctx_b: buffer64)
(va_in_h_in: int)
(va_in_inp_b: buffer64)
(va_in_length: int)
(va_in_n: (va_int_range 18446744073709551616 18446744073709551616))
(va_in_p:
(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819))
(va_in_r va_in_h: int)
(va_in_word_index: nat)
(va_s0: va_state)
(va_k: (va_state -> (int & nat) -> Type0))
: Type0 | let va_wp_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
(forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r14:nat64)
(va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_rax:nat64) (va_x_rbp:nat64)
(va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int) (word_index:nat) . let va_sM =
va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_ok va_x_ok (va_upd_flags va_x_efl va_s0))))))))))) in va_get_ok va_sM /\ va_in_n ==
pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat
va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n
+ va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64
pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\
va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM ==
va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM <
5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16
`op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ 16
`op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length /\
va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b
(va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM
`op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) ==> va_k va_sM ((h,
word_index)))) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 18,
"end_line": 1292,
"start_col": 0,
"start_line": 1230
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce)
//--
//-- Poly1305_iteration
val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_iteration () =
(va_Block (va_CCons (va_code_Poly1305_multiply ()) (va_CCons (va_code_Poly1305_reduce ())
(va_CNil ()))))
val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_iteration () =
(va_pbool_and (va_codegen_success_Poly1305_multiply ()) (va_pbool_and
(va_codegen_success_Poly1305_reduce ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_iteration (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_iteration ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in let (va_arg50:Prims.int) = n `op_Division` 16 in let
(va_arg49:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg48:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg48 7 va_arg49 va_arg50)
(let (va_arg47:Prims.int) = n `op_Division` 16 in let (va_arg46:Prims.int) = r1 in let
(va_arg45:Prims.int) = n in let (va_arg44:Prims.int) = va_get_reg64 rR14 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 211 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg44 va_arg45 va_arg46
va_arg47) (let (va_arg43:Prims.int) = n `op_Division` 16 in let (va_arg42:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg41:Prims.int) = n in let (va_arg40:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg40 va_arg41 va_arg42
va_arg43) (let (va_arg39:Prims.int) = n `op_Division` 8 in let (va_arg38:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg37:Prims.int) = n in let (va_arg36:Prims.int) =
va_get_reg64 rRbp va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg36 va_arg37 va_arg38
va_arg39) (let (va_arg35:Prims.int) = n `op_Division` 16 in let (va_arg34:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg33:Prims.int) = n in let (va_arg32:Prims.int) =
va_get_reg64 rR14 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg32 va_arg33 va_arg34
va_arg35) (let (va_arg31:Prims.int) = n `op_Division` 8 in let (va_arg30:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg29:Prims.int) = n in let (va_arg28:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg28 va_arg29 va_arg30
va_arg31) (let (va_arg27:Prims.int) = 5 `op_Multiply` n `op_Division` 64 in let
(va_arg26:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg25:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg25 7 va_arg26 va_arg27)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 218 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_multiply r1) (fun (va_s:va_state) (hd:int) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_reduce ()) (fun (va_s:va_state) (hh:int) -> va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 220 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 221 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(l_and (hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_s) + va_mul_nat n (va_get_reg64
rRbx va_s) + va_get_reg64 rR14 va_s) (va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p))
(va_QEmpty ((hh)))))))))))))))
val va_lemma_Poly1305_iteration : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_iteration ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp (va_mul_nat h r) ==
Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_iteration va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_iteration va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_iteration ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 180 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 201 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp (va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_iteration (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1) /\ (forall (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp
(va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_iteration : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_iteration r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_iteration ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_iteration r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_iteration (va_code_Poly1305_iteration ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_iteration (r1:nat64) : (va_quickCode int (va_code_Poly1305_iteration ())) =
(va_QProc (va_code_Poly1305_iteration ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRax]) (va_wp_Poly1305_iteration r1) (va_wpProof_Poly1305_iteration r1))
//--
//-- Poly1305_blocks_body0
val va_code_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_body0 () =
(va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Public))
(va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_CCons
(va_code_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (va_CCons
(va_code_Poly1305_iteration ()) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64
1)) (va_CNil ())))))))))))
val va_codegen_success_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_body0 () =
(va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0)
(va_op_reg64_reg64 rRsi) 0 Public)) (va_pbool_and (va_codegen_success_Mem64_lemma ())
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64
(va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_pbool_and
(va_codegen_success_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi)
(va_const_opr64 16)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Poly1305_iteration ())
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1))
(va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_body0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in let (nn:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (hp:int) = h in let (h:int) = h +
va_mul_nat (va_mul_nat nn nn) (va_get_reg64 rRcx va_s) + va_mul_nat nn
(Vale.X64.Decls.buffer64_read inp_b (word_index + 1) (va_get_mem_heaplet 0 va_s)) +
Vale.X64.Decls.buffer64_read inp_b word_index (va_get_mem_heaplet 0 va_s) in let (hq:int) = h
in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inp_b word_index
Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 0 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inp_b
(word_index + 1) Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 355 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 356 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state)
_ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 358 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hq == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat nn nn) + va_mul_nat (va_get_reg64 rRbx
va_s) nn + va_get_reg64 rR14 va_s) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 360 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration (va_get_reg64 rR12 va_s)) (fun (va_s:va_state) (h:int) -> va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 362 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 363 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1)) (fun (va_s:va_state) _ -> let
(word_index:nat) = word_index + 2 in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 366 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index) (let
(va_arg50:Prims.int) = word_index in let (va_arg49:(FStar.Seq.Base.seq Vale.X64.Memory.nat64))
= Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b in let (va_arg48:Prims.int)
= r in let (va_arg47:Prims.int) = va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let
(va_arg46:Prims.int) = Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 368 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg46 va_arg47 va_arg48
va_arg49 va_arg50) (let (va_arg45:Prims.int) = word_index - 2 in let
(va_arg44:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg43:Prims.int) = r in let (va_arg42:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let (va_arg41:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 369 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg41 va_arg42 va_arg43
va_arg44 va_arg45) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 370 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:Prims.int) = r in let (va_arg39:Prims.int) = hq - hp in let (va_arg38:Prims.int) = hp
in let (va_arg37:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg37 va_arg38 va_arg39 va_arg40)
(va_QEmpty (())))))) (va_QEmpty ((h, word_index)))))))))))))))
val va_lemma_Poly1305_blocks_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old /\ va_get_reg64 rR15 va_s0 =!= 0))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15
va_s0) /\ va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_body0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_body0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_body0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 345 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
va_get_reg64 rR15 va_s0 =!= 0 /\ (forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_rax:nat64) (va_x_rbp:nat64) (va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int)
(word_index:nat) . let va_sM = va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64
rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10 (va_upd_ok va_x_ok (va_upd_flags va_x_efl
va_s0))))))))))) in va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n ==
va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\
va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h ==
va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64
rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12
va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64
rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM ==
va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM
== va_get_reg64 rRsi va_old + va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64
/\ va_in_length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8
`op_Multiply` (word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8
`op_Multiply` word_index == va_in_length /\ va_get_reg64 rRsi va_sM + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) +
8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_sM < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM)
(va_get_reg64 rRdi va_sM) va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old /\
precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_body0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int ->
va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_body0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_body0 (va_code_Poly1305_blocks_body0
()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r
va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_body0 ())) =
(va_QProc (va_code_Poly1305_blocks_body0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64
rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks_while0
val va_code_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_while0 () =
(va_Block (va_CCons (va_While (va_cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (va_Block
(va_CCons (va_code_Poly1305_blocks_body0 ()) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_while0 () =
(va_pbool_and (va_codegen_success_Poly1305_blocks_body0 ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_while0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_qWhile va_mods (Cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (fun va_g -> let (h:int) =
let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g in
word_index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_body0 va_old ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QEmpty ((h, word_index))))) (fun
(va_s:va_state) va_g -> let (h:int) = let (h, word_index) = va_g in h in let (word_index:nat) =
let (h, word_index) = va_g in word_index in va_get_ok va_s /\ n == pow2_64 /\ va_mul_nat n n ==
va_mul_nat pow2_64 pow2_64 /\ p == va_mul_nat n n `op_Multiply` 4 - 5 /\ r == va_mul_nat
(va_get_reg64 rR12 va_s) n + va_get_reg64 rR11 va_s /\ h == va_mul_nat (va_get_reg64 rRbp va_s)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s) pow2_64 + va_get_reg64 rR14
va_s /\ va_get_reg64 rR11 va_s < n `op_Division` 16 /\ va_get_reg64 rR12 va_s < n `op_Division`
16 /\ va_get_reg64 rR12 va_s `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s == va_get_reg64 rR12
va_s + va_get_reg64 rR12 va_s `op_Division` 4 /\ va_get_reg64 rRbp va_s < 5 /\ va_get_reg64
rRax va_s == va_get_reg64 rR12 va_s /\ va_get_reg64 rRsi va_s + 16 `op_Multiply` va_get_reg64
rR15 va_s == va_get_reg64 rRsi va_old + length /\ va_get_reg64 rRsi va_old + length < pow2_64
/\ length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s =!= 0 ==> 8 `op_Multiply`
(word_index + 1) <= length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s + 8 `op_Multiply`
word_index == length /\ va_get_reg64 rRsi va_s + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 inp_b (va_get_mem_heaplet 0 va_s) + 8 `op_Multiply` word_index /\
va_get_reg64 rR15 va_s `op_Multiply` 16 <= length /\ va_get_reg64 rRcx va_s < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s) (va_get_reg64 rRdi va_s) ctx_b 24
(va_get_mem_layout va_s) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s)
(va_get_reg64 rRsi va_old) inp_b (length `op_Division` 8) (va_get_mem_layout va_s) Public /\
va_get_reg64 rRdi va_s == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s == va_get_reg64
rRcx va_old /\ (va_get_reg64 rRsi va_s - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index /\
va_get_mem_heaplet 1 va_s == va_get_mem_heaplet 1 va_old) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in va_get_reg64 rR15 va_s) ((h, word_index))) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in let va_g = (h, word_index) in let ((h:int), (word_index:nat)) = va_g in
va_QEmpty ((h, word_index)))))
val va_lemma_Poly1305_blocks_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_while0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) /\ va_state_eq va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_while0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_while0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_while0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(~(va_get_reg64 rR15 va_sM =!= 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index) | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_old: Vale.X64.Decls.va_state ->
va_in_ctx_b: Vale.X64.Memory.buffer64 ->
va_in_h_in: Prims.int ->
va_in_inp_b: Vale.X64.Memory.buffer64 ->
va_in_length: Prims.int ->
va_in_n: Vale.X64.Decls.va_int_range 18446744073709551616 18446744073709551616 ->
va_in_p:
Vale.X64.Decls.va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819 ->
va_in_r: Prims.int ->
va_in_h: Prims.int ->
va_in_word_index: Prims.nat ->
va_s0: Vale.X64.Decls.va_state ->
va_k: (_: Vale.X64.Decls.va_state -> _: (Prims.int * Prims.nat) -> Type0)
-> Type0 | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.Decls.va_state",
"Vale.X64.Memory.buffer64",
"Prims.int",
"Vale.X64.Decls.va_int_range",
"Prims.nat",
"FStar.Pervasives.Native.tuple2",
"Prims.l_and",
"Prims.b2t",
"Vale.X64.Decls.va_get_ok",
"Prims.eq2",
"Vale.X64.Machine_s.pow2_64",
"Vale.X64.Decls.va_mul_nat",
"Prims.op_Subtraction",
"Prims.op_Multiply",
"Prims.op_Addition",
"Vale.X64.Decls.va_get_reg64",
"Vale.X64.Machine_s.rR12",
"Vale.X64.Machine_s.rR11",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rR14",
"Prims.op_LessThan",
"Prims.op_Division",
"Prims.op_Modulus",
"Vale.X64.Machine_s.rR13",
"Vale.Def.Types_s.nat64",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Machine_s.rRsi",
"Vale.X64.Machine_s.rR15",
"Vale.X64.Machine_s.rRdx",
"Prims.l_imp",
"Prims.l_not",
"Prims.op_LessThanOrEqual",
"Vale.X64.Memory.buffer_addr",
"Vale.X64.Memory.vuint64",
"Vale.X64.Decls.va_get_mem_heaplet",
"Vale.X64.Machine_s.rRcx",
"Vale.X64.Decls.validDstAddrs64",
"Vale.X64.Machine_s.rRdi",
"Vale.X64.Decls.va_get_mem_layout",
"Vale.Arch.HeapTypes_s.Public",
"Vale.X64.Decls.validSrcAddrs64",
"Vale.Poly1305.Spec_s.modp",
"Vale.Poly1305.Util.poly1305_heap_blocks",
"Vale.X64.Decls.buffer64_as_seq",
"Vale.X64.Decls.vale_heap",
"Prims.l_Forall",
"Vale.X64.Flags.t",
"Prims.bool",
"Vale.X64.Memory.nat64",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.State.vale_state",
"Vale.X64.Decls.va_upd_reg64",
"Vale.X64.Machine_s.rR9",
"Vale.X64.Machine_s.rR8",
"Vale.X64.Machine_s.rR10",
"Vale.X64.Decls.va_upd_ok",
"Vale.X64.Decls.va_upd_flags"
] | [] | false | false | false | false | true | let va_wp_Poly1305_blocks_while0
(va_old: va_state)
(va_in_ctx_b: buffer64)
(va_in_h_in: int)
(va_in_inp_b: buffer64)
(va_in_length: int)
(va_in_n: (va_int_range 18446744073709551616 18446744073709551616))
(va_in_p:
(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819))
(va_in_r va_in_h: int)
(va_in_word_index: nat)
(va_s0: va_state)
(va_k: (va_state -> (int & nat) -> Type0))
: Type0 =
| (va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\
va_in_p == (va_mul_nat va_in_n va_in_n) `op_Multiply` 4 - 5 /\
va_in_r == va_mul_nat (va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\
va_in_h ==
va_mul_nat (va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) +
va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 +
va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\
(va_get_reg64 rR12 va_s0) `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + (va_get_reg64 rR12 va_s0) `op_Division` 4 /\
va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` (va_get_reg64 rR15 va_s0) ==
va_get_reg64 rRsi va_old + va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\
va_in_length == va_get_reg64 rRdx va_old /\
(va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length) /\
16 `op_Multiply` (va_get_reg64 rR15 va_s0) + 8 `op_Multiply` va_in_word_index == va_in_length /\
va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8
`op_Multiply`
va_in_word_index /\ (va_get_reg64 rR15 va_s0) `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0)
va_in_ctx_b
24
(va_get_mem_layout va_s0)
Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0)
(va_get_reg64 rRsi va_old)
va_in_inp_b
(va_in_length `op_Division` 8)
(va_get_mem_layout va_s0)
Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\
(va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in)
(va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n))
va_in_r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0) va_in_inp_b)
va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
(forall (va_x_efl: Vale.X64.Flags.t) (va_x_ok: bool) (va_x_r10: nat64) (va_x_r14: nat64)
(va_x_r15: nat64) (va_x_r8: nat64) (va_x_r9: nat64) (va_x_rax: nat64) (va_x_rbp: nat64)
(va_x_rbx: nat64) (va_x_rdx: nat64) (va_x_rsi: nat64) (h: int) (word_index: nat).
let va_sM =
va_upd_reg64 rRsi
va_x_rsi
(va_upd_reg64 rRdx
va_x_rdx
(va_upd_reg64 rRbx
va_x_rbx
(va_upd_reg64 rRbp
va_x_rbp
(va_upd_reg64 rRax
va_x_rax
(va_upd_reg64 rR9
va_x_r9
(va_upd_reg64 rR8
va_x_r8
(va_upd_reg64 rR15
va_x_r15
(va_upd_reg64 rR14
va_x_r14
(va_upd_reg64 rR10
va_x_r10
(va_upd_ok va_x_ok (va_upd_flags va_x_efl va_s0)))))))
))))
in
va_get_ok va_sM /\ va_in_n == pow2_64 /\
va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\
va_in_p == (va_mul_nat va_in_n va_in_n) `op_Multiply` 4 - 5 /\
va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\
h ==
va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) +
va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16 /\
(va_get_reg64 rR12 va_sM) `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + (va_get_reg64 rR12 va_sM) `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` (va_get_reg64 rR15 va_sM) ==
va_get_reg64 rRsi va_old + va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\
va_in_length == va_get_reg64 rRdx va_old /\
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\
16 `op_Multiply` (va_get_reg64 rR15 va_sM) + 8 `op_Multiply` word_index == va_in_length /\
va_get_reg64 rRsi va_sM + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) +
8
`op_Multiply`
word_index /\ (va_get_reg64 rR15 va_sM) `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM)
(va_get_reg64 rRdi va_sM)
va_in_ctx_b
24
(va_get_mem_layout va_sM)
Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM)
(va_get_reg64 rRsi va_old)
va_in_inp_b
(va_in_length `op_Division` 8)
(va_get_mem_layout va_sM)
Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\
(va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in)
(va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n))
va_in_r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM) va_in_inp_b)
word_index /\ va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old /\
~(va_get_reg64 rR15 va_sM =!= 0) ==>
va_k va_sM ((h, word_index)))) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_wpProof_Poly1305_blocks_while0 | val va_wpProof_Poly1305_blocks_while0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int
-> va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_while0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g)))) | val va_wpProof_Poly1305_blocks_while0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int
-> va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_while0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g)))) | let va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length
va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_while0
(va_code_Poly1305_blocks_while0 ()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 1323,
"start_col": 0,
"start_line": 1308
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce)
//--
//-- Poly1305_iteration
val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_iteration () =
(va_Block (va_CCons (va_code_Poly1305_multiply ()) (va_CCons (va_code_Poly1305_reduce ())
(va_CNil ()))))
val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_iteration () =
(va_pbool_and (va_codegen_success_Poly1305_multiply ()) (va_pbool_and
(va_codegen_success_Poly1305_reduce ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_iteration (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_iteration ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in let (va_arg50:Prims.int) = n `op_Division` 16 in let
(va_arg49:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg48:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg48 7 va_arg49 va_arg50)
(let (va_arg47:Prims.int) = n `op_Division` 16 in let (va_arg46:Prims.int) = r1 in let
(va_arg45:Prims.int) = n in let (va_arg44:Prims.int) = va_get_reg64 rR14 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 211 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg44 va_arg45 va_arg46
va_arg47) (let (va_arg43:Prims.int) = n `op_Division` 16 in let (va_arg42:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg41:Prims.int) = n in let (va_arg40:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg40 va_arg41 va_arg42
va_arg43) (let (va_arg39:Prims.int) = n `op_Division` 8 in let (va_arg38:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg37:Prims.int) = n in let (va_arg36:Prims.int) =
va_get_reg64 rRbp va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg36 va_arg37 va_arg38
va_arg39) (let (va_arg35:Prims.int) = n `op_Division` 16 in let (va_arg34:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg33:Prims.int) = n in let (va_arg32:Prims.int) =
va_get_reg64 rR14 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg32 va_arg33 va_arg34
va_arg35) (let (va_arg31:Prims.int) = n `op_Division` 8 in let (va_arg30:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg29:Prims.int) = n in let (va_arg28:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg28 va_arg29 va_arg30
va_arg31) (let (va_arg27:Prims.int) = 5 `op_Multiply` n `op_Division` 64 in let
(va_arg26:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg25:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg25 7 va_arg26 va_arg27)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 218 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_multiply r1) (fun (va_s:va_state) (hd:int) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_reduce ()) (fun (va_s:va_state) (hh:int) -> va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 220 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 221 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(l_and (hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_s) + va_mul_nat n (va_get_reg64
rRbx va_s) + va_get_reg64 rR14 va_s) (va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p))
(va_QEmpty ((hh)))))))))))))))
val va_lemma_Poly1305_iteration : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_iteration ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp (va_mul_nat h r) ==
Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_iteration va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_iteration va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_iteration ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 180 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 201 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp (va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_iteration (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1) /\ (forall (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp
(va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_iteration : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_iteration r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_iteration ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_iteration r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_iteration (va_code_Poly1305_iteration ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_iteration (r1:nat64) : (va_quickCode int (va_code_Poly1305_iteration ())) =
(va_QProc (va_code_Poly1305_iteration ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRax]) (va_wp_Poly1305_iteration r1) (va_wpProof_Poly1305_iteration r1))
//--
//-- Poly1305_blocks_body0
val va_code_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_body0 () =
(va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Public))
(va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_CCons
(va_code_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (va_CCons
(va_code_Poly1305_iteration ()) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64
1)) (va_CNil ())))))))))))
val va_codegen_success_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_body0 () =
(va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0)
(va_op_reg64_reg64 rRsi) 0 Public)) (va_pbool_and (va_codegen_success_Mem64_lemma ())
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64
(va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_pbool_and
(va_codegen_success_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi)
(va_const_opr64 16)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Poly1305_iteration ())
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1))
(va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_body0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in let (nn:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (hp:int) = h in let (h:int) = h +
va_mul_nat (va_mul_nat nn nn) (va_get_reg64 rRcx va_s) + va_mul_nat nn
(Vale.X64.Decls.buffer64_read inp_b (word_index + 1) (va_get_mem_heaplet 0 va_s)) +
Vale.X64.Decls.buffer64_read inp_b word_index (va_get_mem_heaplet 0 va_s) in let (hq:int) = h
in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inp_b word_index
Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 0 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inp_b
(word_index + 1) Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 355 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 356 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state)
_ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 358 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hq == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat nn nn) + va_mul_nat (va_get_reg64 rRbx
va_s) nn + va_get_reg64 rR14 va_s) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 360 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration (va_get_reg64 rR12 va_s)) (fun (va_s:va_state) (h:int) -> va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 362 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 363 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1)) (fun (va_s:va_state) _ -> let
(word_index:nat) = word_index + 2 in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 366 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index) (let
(va_arg50:Prims.int) = word_index in let (va_arg49:(FStar.Seq.Base.seq Vale.X64.Memory.nat64))
= Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b in let (va_arg48:Prims.int)
= r in let (va_arg47:Prims.int) = va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let
(va_arg46:Prims.int) = Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 368 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg46 va_arg47 va_arg48
va_arg49 va_arg50) (let (va_arg45:Prims.int) = word_index - 2 in let
(va_arg44:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg43:Prims.int) = r in let (va_arg42:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let (va_arg41:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 369 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg41 va_arg42 va_arg43
va_arg44 va_arg45) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 370 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:Prims.int) = r in let (va_arg39:Prims.int) = hq - hp in let (va_arg38:Prims.int) = hp
in let (va_arg37:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg37 va_arg38 va_arg39 va_arg40)
(va_QEmpty (())))))) (va_QEmpty ((h, word_index)))))))))))))))
val va_lemma_Poly1305_blocks_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old /\ va_get_reg64 rR15 va_s0 =!= 0))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15
va_s0) /\ va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_body0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_body0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_body0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 345 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
va_get_reg64 rR15 va_s0 =!= 0 /\ (forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_rax:nat64) (va_x_rbp:nat64) (va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int)
(word_index:nat) . let va_sM = va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64
rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10 (va_upd_ok va_x_ok (va_upd_flags va_x_efl
va_s0))))))))))) in va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n ==
va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\
va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h ==
va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64
rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12
va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64
rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM ==
va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM
== va_get_reg64 rRsi va_old + va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64
/\ va_in_length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8
`op_Multiply` (word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8
`op_Multiply` word_index == va_in_length /\ va_get_reg64 rRsi va_sM + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) +
8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_sM < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM)
(va_get_reg64 rRdi va_sM) va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old /\
precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_body0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int ->
va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_body0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_body0 (va_code_Poly1305_blocks_body0
()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r
va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_body0 ())) =
(va_QProc (va_code_Poly1305_blocks_body0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64
rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks_while0
val va_code_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_while0 () =
(va_Block (va_CCons (va_While (va_cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (va_Block
(va_CCons (va_code_Poly1305_blocks_body0 ()) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_while0 () =
(va_pbool_and (va_codegen_success_Poly1305_blocks_body0 ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_while0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_qWhile va_mods (Cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (fun va_g -> let (h:int) =
let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g in
word_index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_body0 va_old ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QEmpty ((h, word_index))))) (fun
(va_s:va_state) va_g -> let (h:int) = let (h, word_index) = va_g in h in let (word_index:nat) =
let (h, word_index) = va_g in word_index in va_get_ok va_s /\ n == pow2_64 /\ va_mul_nat n n ==
va_mul_nat pow2_64 pow2_64 /\ p == va_mul_nat n n `op_Multiply` 4 - 5 /\ r == va_mul_nat
(va_get_reg64 rR12 va_s) n + va_get_reg64 rR11 va_s /\ h == va_mul_nat (va_get_reg64 rRbp va_s)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s) pow2_64 + va_get_reg64 rR14
va_s /\ va_get_reg64 rR11 va_s < n `op_Division` 16 /\ va_get_reg64 rR12 va_s < n `op_Division`
16 /\ va_get_reg64 rR12 va_s `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s == va_get_reg64 rR12
va_s + va_get_reg64 rR12 va_s `op_Division` 4 /\ va_get_reg64 rRbp va_s < 5 /\ va_get_reg64
rRax va_s == va_get_reg64 rR12 va_s /\ va_get_reg64 rRsi va_s + 16 `op_Multiply` va_get_reg64
rR15 va_s == va_get_reg64 rRsi va_old + length /\ va_get_reg64 rRsi va_old + length < pow2_64
/\ length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s =!= 0 ==> 8 `op_Multiply`
(word_index + 1) <= length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s + 8 `op_Multiply`
word_index == length /\ va_get_reg64 rRsi va_s + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 inp_b (va_get_mem_heaplet 0 va_s) + 8 `op_Multiply` word_index /\
va_get_reg64 rR15 va_s `op_Multiply` 16 <= length /\ va_get_reg64 rRcx va_s < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s) (va_get_reg64 rRdi va_s) ctx_b 24
(va_get_mem_layout va_s) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s)
(va_get_reg64 rRsi va_old) inp_b (length `op_Division` 8) (va_get_mem_layout va_s) Public /\
va_get_reg64 rRdi va_s == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s == va_get_reg64
rRcx va_old /\ (va_get_reg64 rRsi va_s - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index /\
va_get_mem_heaplet 1 va_s == va_get_mem_heaplet 1 va_old) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in va_get_reg64 rR15 va_s) ((h, word_index))) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in let va_g = (h, word_index) in let ((h:int), (word_index:nat)) = va_g in
va_QEmpty ((h, word_index)))))
val va_lemma_Poly1305_blocks_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_while0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) /\ va_state_eq va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_while0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_while0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_while0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(~(va_get_reg64 rR15 va_sM =!= 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
(forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r14:nat64)
(va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_rax:nat64) (va_x_rbp:nat64)
(va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int) (word_index:nat) . let va_sM =
va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_ok va_x_ok (va_upd_flags va_x_efl va_s0))))))))))) in va_get_ok va_sM /\ va_in_n ==
pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat
va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n
+ va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64
pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\
va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM ==
va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM <
5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16
`op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ 16
`op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length /\
va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b
(va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM
`op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_while0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int
-> va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_while0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g)))) | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_old: Vale.X64.Decls.va_state ->
va_in_ctx_b: Vale.X64.Memory.buffer64 ->
va_in_h_in: Prims.int ->
va_in_inp_b: Vale.X64.Memory.buffer64 ->
va_in_length: Prims.int ->
va_in_n: Vale.X64.Decls.va_int_range 18446744073709551616 18446744073709551616 ->
va_in_p:
Vale.X64.Decls.va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819 ->
va_in_r: Prims.int ->
va_in_h: Prims.int ->
va_in_word_index: Prims.nat ->
va_s0: Vale.X64.Decls.va_state ->
va_k: (_: Vale.X64.Decls.va_state -> _: (Prims.int * Prims.nat) -> Type0)
-> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * (Prims.int * Prims.nat)) | Prims.Ghost | [] | [] | [
"Vale.X64.Decls.va_state",
"Vale.X64.Memory.buffer64",
"Prims.int",
"Vale.X64.Decls.va_int_range",
"Prims.nat",
"FStar.Pervasives.Native.tuple2",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"FStar.Pervasives.Native.Mktuple2",
"Prims.unit",
"Vale.X64.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.X64.QuickCode.mod_t",
"Vale.X64.QuickCode.va_Mod_reg64",
"Vale.X64.Machine_s.rRsi",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Machine_s.rR9",
"Vale.X64.Machine_s.rR8",
"Vale.X64.Machine_s.rR15",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Machine_s.rR10",
"Vale.X64.QuickCode.va_Mod_ok",
"Vale.X64.QuickCode.va_Mod_flags",
"Prims.Nil",
"Prims._assert",
"Vale.X64.Decls.va_state_eq",
"Vale.X64.Decls.va_update_reg64",
"Vale.X64.Decls.va_update_ok",
"Vale.X64.Decls.va_update_flags",
"Vale.X64.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple4",
"Vale.X64.State.vale_state",
"Vale.Poly1305.X64.va_lemma_Poly1305_blocks_while0",
"Vale.Poly1305.X64.va_code_Poly1305_blocks_while0"
] | [] | false | false | false | false | false | let va_wpProof_Poly1305_blocks_while0
va_old
va_in_ctx_b
va_in_h_in
va_in_inp_b
va_in_length
va_in_n
va_in_p
va_in_r
va_in_h
va_in_word_index
va_s0
va_k
=
| let va_sM, va_f0, h, word_index =
va_lemma_Poly1305_blocks_while0 (va_code_Poly1305_blocks_while0 ()) va_s0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index
in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM
(va_update_reg64 rRsi
va_sM
(va_update_reg64 rRdx
va_sM
(va_update_reg64 rRbx
va_sM
(va_update_reg64 rRbp
va_sM
(va_update_reg64 rRax
va_sM
(va_update_reg64 rR9
va_sM
(va_update_reg64 rR8
va_sM
(va_update_reg64 rR15
va_sM
(va_update_reg64 rR14
va_sM
(va_update_reg64 rR10
va_sM
(va_update_ok va_sM (va_update_flags va_sM va_s0))))))
)))))));
va_lemma_norm_mods ([
va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax;
va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10;
va_Mod_ok; va_Mod_flags
])
va_sM
va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_wp_Poly1305_blocks_body0 | val va_wp_Poly1305_blocks_body0
(va_old: va_state)
(va_in_ctx_b: buffer64)
(va_in_h_in: int)
(va_in_inp_b: buffer64)
(va_in_length: int)
(va_in_n: (va_int_range 18446744073709551616 18446744073709551616))
(va_in_p:
(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819))
(va_in_r va_in_h: int)
(va_in_word_index: nat)
(va_s0: va_state)
(va_k: (va_state -> (int & nat) -> Type0))
: Type0 | val va_wp_Poly1305_blocks_body0
(va_old: va_state)
(va_in_ctx_b: buffer64)
(va_in_h_in: int)
(va_in_inp_b: buffer64)
(va_in_length: int)
(va_in_n: (va_int_range 18446744073709551616 18446744073709551616))
(va_in_p:
(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819))
(va_in_r va_in_h: int)
(va_in_word_index: nat)
(va_s0: va_state)
(va_k: (va_state -> (int & nat) -> Type0))
: Type0 | let va_wp_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
va_get_reg64 rR15 va_s0 =!= 0 /\ (forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_rax:nat64) (va_x_rbp:nat64) (va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int)
(word_index:nat) . let va_sM = va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64
rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10 (va_upd_ok va_x_ok (va_upd_flags va_x_efl
va_s0))))))))))) in va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n ==
va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\
va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h ==
va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64
rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12
va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64
rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM ==
va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM
== va_get_reg64 rRsi va_old + va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64
/\ va_in_length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8
`op_Multiply` (word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8
`op_Multiply` word_index == va_in_length /\ va_get_reg64 rRsi va_sM + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) +
8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_sM < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM)
(va_get_reg64 rRdi va_sM) va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old /\
precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0) ==> va_k va_sM ((h,
word_index)))) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 18,
"end_line": 971,
"start_col": 0,
"start_line": 908
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce)
//--
//-- Poly1305_iteration
val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_iteration () =
(va_Block (va_CCons (va_code_Poly1305_multiply ()) (va_CCons (va_code_Poly1305_reduce ())
(va_CNil ()))))
val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_iteration () =
(va_pbool_and (va_codegen_success_Poly1305_multiply ()) (va_pbool_and
(va_codegen_success_Poly1305_reduce ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_iteration (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_iteration ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in let (va_arg50:Prims.int) = n `op_Division` 16 in let
(va_arg49:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg48:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg48 7 va_arg49 va_arg50)
(let (va_arg47:Prims.int) = n `op_Division` 16 in let (va_arg46:Prims.int) = r1 in let
(va_arg45:Prims.int) = n in let (va_arg44:Prims.int) = va_get_reg64 rR14 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 211 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg44 va_arg45 va_arg46
va_arg47) (let (va_arg43:Prims.int) = n `op_Division` 16 in let (va_arg42:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg41:Prims.int) = n in let (va_arg40:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg40 va_arg41 va_arg42
va_arg43) (let (va_arg39:Prims.int) = n `op_Division` 8 in let (va_arg38:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg37:Prims.int) = n in let (va_arg36:Prims.int) =
va_get_reg64 rRbp va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg36 va_arg37 va_arg38
va_arg39) (let (va_arg35:Prims.int) = n `op_Division` 16 in let (va_arg34:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg33:Prims.int) = n in let (va_arg32:Prims.int) =
va_get_reg64 rR14 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg32 va_arg33 va_arg34
va_arg35) (let (va_arg31:Prims.int) = n `op_Division` 8 in let (va_arg30:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg29:Prims.int) = n in let (va_arg28:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg28 va_arg29 va_arg30
va_arg31) (let (va_arg27:Prims.int) = 5 `op_Multiply` n `op_Division` 64 in let
(va_arg26:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg25:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg25 7 va_arg26 va_arg27)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 218 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_multiply r1) (fun (va_s:va_state) (hd:int) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_reduce ()) (fun (va_s:va_state) (hh:int) -> va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 220 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 221 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(l_and (hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_s) + va_mul_nat n (va_get_reg64
rRbx va_s) + va_get_reg64 rR14 va_s) (va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p))
(va_QEmpty ((hh)))))))))))))))
val va_lemma_Poly1305_iteration : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_iteration ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp (va_mul_nat h r) ==
Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_iteration va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_iteration va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_iteration ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 180 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 201 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp (va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_iteration (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1) /\ (forall (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp
(va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_iteration : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_iteration r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_iteration ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_iteration r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_iteration (va_code_Poly1305_iteration ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_iteration (r1:nat64) : (va_quickCode int (va_code_Poly1305_iteration ())) =
(va_QProc (va_code_Poly1305_iteration ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRax]) (va_wp_Poly1305_iteration r1) (va_wpProof_Poly1305_iteration r1))
//--
//-- Poly1305_blocks_body0
val va_code_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_body0 () =
(va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Public))
(va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_CCons
(va_code_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (va_CCons
(va_code_Poly1305_iteration ()) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64
1)) (va_CNil ())))))))))))
val va_codegen_success_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_body0 () =
(va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0)
(va_op_reg64_reg64 rRsi) 0 Public)) (va_pbool_and (va_codegen_success_Mem64_lemma ())
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64
(va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_pbool_and
(va_codegen_success_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi)
(va_const_opr64 16)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Poly1305_iteration ())
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1))
(va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_body0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in let (nn:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (hp:int) = h in let (h:int) = h +
va_mul_nat (va_mul_nat nn nn) (va_get_reg64 rRcx va_s) + va_mul_nat nn
(Vale.X64.Decls.buffer64_read inp_b (word_index + 1) (va_get_mem_heaplet 0 va_s)) +
Vale.X64.Decls.buffer64_read inp_b word_index (va_get_mem_heaplet 0 va_s) in let (hq:int) = h
in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inp_b word_index
Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 0 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inp_b
(word_index + 1) Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 355 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 356 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state)
_ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 358 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hq == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat nn nn) + va_mul_nat (va_get_reg64 rRbx
va_s) nn + va_get_reg64 rR14 va_s) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 360 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration (va_get_reg64 rR12 va_s)) (fun (va_s:va_state) (h:int) -> va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 362 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 363 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1)) (fun (va_s:va_state) _ -> let
(word_index:nat) = word_index + 2 in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 366 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index) (let
(va_arg50:Prims.int) = word_index in let (va_arg49:(FStar.Seq.Base.seq Vale.X64.Memory.nat64))
= Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b in let (va_arg48:Prims.int)
= r in let (va_arg47:Prims.int) = va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let
(va_arg46:Prims.int) = Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 368 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg46 va_arg47 va_arg48
va_arg49 va_arg50) (let (va_arg45:Prims.int) = word_index - 2 in let
(va_arg44:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg43:Prims.int) = r in let (va_arg42:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let (va_arg41:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 369 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg41 va_arg42 va_arg43
va_arg44 va_arg45) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 370 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:Prims.int) = r in let (va_arg39:Prims.int) = hq - hp in let (va_arg38:Prims.int) = hp
in let (va_arg37:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg37 va_arg38 va_arg39 va_arg40)
(va_QEmpty (())))))) (va_QEmpty ((h, word_index)))))))))))))))
val va_lemma_Poly1305_blocks_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old /\ va_get_reg64 rR15 va_s0 =!= 0))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15
va_s0) /\ va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_body0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_body0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_body0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 345 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index) | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_old: Vale.X64.Decls.va_state ->
va_in_ctx_b: Vale.X64.Memory.buffer64 ->
va_in_h_in: Prims.int ->
va_in_inp_b: Vale.X64.Memory.buffer64 ->
va_in_length: Prims.int ->
va_in_n: Vale.X64.Decls.va_int_range 18446744073709551616 18446744073709551616 ->
va_in_p:
Vale.X64.Decls.va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819 ->
va_in_r: Prims.int ->
va_in_h: Prims.int ->
va_in_word_index: Prims.nat ->
va_s0: Vale.X64.Decls.va_state ->
va_k: (_: Vale.X64.Decls.va_state -> _: (Prims.int * Prims.nat) -> Type0)
-> Type0 | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.Decls.va_state",
"Vale.X64.Memory.buffer64",
"Prims.int",
"Vale.X64.Decls.va_int_range",
"Prims.nat",
"FStar.Pervasives.Native.tuple2",
"Prims.l_and",
"Prims.b2t",
"Vale.X64.Decls.va_get_ok",
"Prims.eq2",
"Vale.X64.Machine_s.pow2_64",
"Vale.X64.Decls.va_mul_nat",
"Prims.op_Subtraction",
"Prims.op_Multiply",
"Prims.op_Addition",
"Vale.X64.Decls.va_get_reg64",
"Vale.X64.Machine_s.rR12",
"Vale.X64.Machine_s.rR11",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rR14",
"Prims.op_LessThan",
"Prims.op_Division",
"Prims.op_Modulus",
"Vale.X64.Machine_s.rR13",
"Vale.Def.Types_s.nat64",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Machine_s.rRsi",
"Vale.X64.Machine_s.rR15",
"Vale.X64.Machine_s.rRdx",
"Prims.l_imp",
"Prims.l_not",
"Prims.op_LessThanOrEqual",
"Vale.X64.Memory.buffer_addr",
"Vale.X64.Memory.vuint64",
"Vale.X64.Decls.va_get_mem_heaplet",
"Vale.X64.Machine_s.rRcx",
"Vale.X64.Decls.validDstAddrs64",
"Vale.X64.Machine_s.rRdi",
"Vale.X64.Decls.va_get_mem_layout",
"Vale.Arch.HeapTypes_s.Public",
"Vale.X64.Decls.validSrcAddrs64",
"Vale.Poly1305.Spec_s.modp",
"Vale.Poly1305.Util.poly1305_heap_blocks",
"Vale.X64.Decls.buffer64_as_seq",
"Vale.X64.Decls.vale_heap",
"Prims.l_Forall",
"Vale.X64.Flags.t",
"Prims.bool",
"Vale.X64.Memory.nat64",
"Vale.X64.QuickCodes.precedes_wrap",
"FStar.Pervasives.Native.Mktuple2",
"Vale.X64.State.vale_state",
"Vale.X64.Decls.va_upd_reg64",
"Vale.X64.Machine_s.rR9",
"Vale.X64.Machine_s.rR8",
"Vale.X64.Machine_s.rR10",
"Vale.X64.Decls.va_upd_ok",
"Vale.X64.Decls.va_upd_flags"
] | [] | false | false | false | false | true | let va_wp_Poly1305_blocks_body0
(va_old: va_state)
(va_in_ctx_b: buffer64)
(va_in_h_in: int)
(va_in_inp_b: buffer64)
(va_in_length: int)
(va_in_n: (va_int_range 18446744073709551616 18446744073709551616))
(va_in_p:
(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819))
(va_in_r va_in_h: int)
(va_in_word_index: nat)
(va_s0: va_state)
(va_k: (va_state -> (int & nat) -> Type0))
: Type0 =
| (va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\
va_in_p == (va_mul_nat va_in_n va_in_n) `op_Multiply` 4 - 5 /\
va_in_r == va_mul_nat (va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\
va_in_h ==
va_mul_nat (va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) +
va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 +
va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\
(va_get_reg64 rR12 va_s0) `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + (va_get_reg64 rR12 va_s0) `op_Division` 4 /\
va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` (va_get_reg64 rR15 va_s0) ==
va_get_reg64 rRsi va_old + va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\
va_in_length == va_get_reg64 rRdx va_old /\
(va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length) /\
16 `op_Multiply` (va_get_reg64 rR15 va_s0) + 8 `op_Multiply` va_in_word_index == va_in_length /\
va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8
`op_Multiply`
va_in_word_index /\ (va_get_reg64 rR15 va_s0) `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0)
va_in_ctx_b
24
(va_get_mem_layout va_s0)
Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0)
(va_get_reg64 rRsi va_old)
va_in_inp_b
(va_in_length `op_Division` 8)
(va_get_mem_layout va_s0)
Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\
(va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in)
(va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n))
va_in_r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0) va_in_inp_b)
va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
va_get_reg64 rR15 va_s0 =!= 0 /\
(forall (va_x_efl: Vale.X64.Flags.t) (va_x_ok: bool) (va_x_r10: nat64) (va_x_r14: nat64)
(va_x_r15: nat64) (va_x_r8: nat64) (va_x_r9: nat64) (va_x_rax: nat64) (va_x_rbp: nat64)
(va_x_rbx: nat64) (va_x_rdx: nat64) (va_x_rsi: nat64) (h: int) (word_index: nat).
let va_sM =
va_upd_reg64 rRsi
va_x_rsi
(va_upd_reg64 rRdx
va_x_rdx
(va_upd_reg64 rRbx
va_x_rbx
(va_upd_reg64 rRbp
va_x_rbp
(va_upd_reg64 rRax
va_x_rax
(va_upd_reg64 rR9
va_x_r9
(va_upd_reg64 rR8
va_x_r8
(va_upd_reg64 rR15
va_x_r15
(va_upd_reg64 rR14
va_x_r14
(va_upd_reg64 rR10
va_x_r10
(va_upd_ok va_x_ok (va_upd_flags va_x_efl va_s0)))))))
))))
in
va_get_ok va_sM /\ va_in_n == pow2_64 /\
va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\
va_in_p == (va_mul_nat va_in_n va_in_n) `op_Multiply` 4 - 5 /\
va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\
h ==
va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) +
va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16 /\
(va_get_reg64 rR12 va_sM) `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + (va_get_reg64 rR12 va_sM) `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` (va_get_reg64 rR15 va_sM) ==
va_get_reg64 rRsi va_old + va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\
va_in_length == va_get_reg64 rRdx va_old /\
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\
16 `op_Multiply` (va_get_reg64 rR15 va_sM) + 8 `op_Multiply` word_index == va_in_length /\
va_get_reg64 rRsi va_sM + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) +
8
`op_Multiply`
word_index /\ (va_get_reg64 rR15 va_sM) `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM)
(va_get_reg64 rRdi va_sM)
va_in_ctx_b
24
(va_get_mem_layout va_sM)
Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM)
(va_get_reg64 rRsi va_old)
va_in_inp_b
(va_in_length `op_Division` 8)
(va_get_mem_layout va_sM)
Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\
(va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in)
(va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n))
va_in_r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM) va_in_inp_b)
word_index /\ va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old /\
precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0) ==>
va_k va_sM ((h, word_index)))) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_code_Poly1305_add_key_s | val va_code_Poly1305_add_key_s : va_dummy:unit -> Tot va_code | val va_code_Poly1305_add_key_s : va_dummy:unit -> Tot va_code | let va_code_Poly1305_add_key_s () =
(va_Block (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRdx)) (va_CNil
())))) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 10,
"end_line": 2213,
"start_col": 0,
"start_line": 2210
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce)
//--
//-- Poly1305_iteration
val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_iteration () =
(va_Block (va_CCons (va_code_Poly1305_multiply ()) (va_CCons (va_code_Poly1305_reduce ())
(va_CNil ()))))
val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_iteration () =
(va_pbool_and (va_codegen_success_Poly1305_multiply ()) (va_pbool_and
(va_codegen_success_Poly1305_reduce ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_iteration (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_iteration ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in let (va_arg50:Prims.int) = n `op_Division` 16 in let
(va_arg49:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg48:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg48 7 va_arg49 va_arg50)
(let (va_arg47:Prims.int) = n `op_Division` 16 in let (va_arg46:Prims.int) = r1 in let
(va_arg45:Prims.int) = n in let (va_arg44:Prims.int) = va_get_reg64 rR14 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 211 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg44 va_arg45 va_arg46
va_arg47) (let (va_arg43:Prims.int) = n `op_Division` 16 in let (va_arg42:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg41:Prims.int) = n in let (va_arg40:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg40 va_arg41 va_arg42
va_arg43) (let (va_arg39:Prims.int) = n `op_Division` 8 in let (va_arg38:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg37:Prims.int) = n in let (va_arg36:Prims.int) =
va_get_reg64 rRbp va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg36 va_arg37 va_arg38
va_arg39) (let (va_arg35:Prims.int) = n `op_Division` 16 in let (va_arg34:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg33:Prims.int) = n in let (va_arg32:Prims.int) =
va_get_reg64 rR14 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg32 va_arg33 va_arg34
va_arg35) (let (va_arg31:Prims.int) = n `op_Division` 8 in let (va_arg30:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg29:Prims.int) = n in let (va_arg28:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg28 va_arg29 va_arg30
va_arg31) (let (va_arg27:Prims.int) = 5 `op_Multiply` n `op_Division` 64 in let
(va_arg26:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg25:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg25 7 va_arg26 va_arg27)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 218 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_multiply r1) (fun (va_s:va_state) (hd:int) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_reduce ()) (fun (va_s:va_state) (hh:int) -> va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 220 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 221 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(l_and (hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_s) + va_mul_nat n (va_get_reg64
rRbx va_s) + va_get_reg64 rR14 va_s) (va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p))
(va_QEmpty ((hh)))))))))))))))
val va_lemma_Poly1305_iteration : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_iteration ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp (va_mul_nat h r) ==
Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_iteration va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_iteration va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_iteration ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 180 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 201 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp (va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_iteration (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1) /\ (forall (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp
(va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_iteration : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_iteration r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_iteration ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_iteration r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_iteration (va_code_Poly1305_iteration ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_iteration (r1:nat64) : (va_quickCode int (va_code_Poly1305_iteration ())) =
(va_QProc (va_code_Poly1305_iteration ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRax]) (va_wp_Poly1305_iteration r1) (va_wpProof_Poly1305_iteration r1))
//--
//-- Poly1305_blocks_body0
val va_code_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_body0 () =
(va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Public))
(va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_CCons
(va_code_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (va_CCons
(va_code_Poly1305_iteration ()) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64
1)) (va_CNil ())))))))))))
val va_codegen_success_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_body0 () =
(va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0)
(va_op_reg64_reg64 rRsi) 0 Public)) (va_pbool_and (va_codegen_success_Mem64_lemma ())
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64
(va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_pbool_and
(va_codegen_success_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi)
(va_const_opr64 16)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Poly1305_iteration ())
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1))
(va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_body0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in let (nn:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (hp:int) = h in let (h:int) = h +
va_mul_nat (va_mul_nat nn nn) (va_get_reg64 rRcx va_s) + va_mul_nat nn
(Vale.X64.Decls.buffer64_read inp_b (word_index + 1) (va_get_mem_heaplet 0 va_s)) +
Vale.X64.Decls.buffer64_read inp_b word_index (va_get_mem_heaplet 0 va_s) in let (hq:int) = h
in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inp_b word_index
Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 0 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inp_b
(word_index + 1) Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 355 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 356 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state)
_ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 358 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hq == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat nn nn) + va_mul_nat (va_get_reg64 rRbx
va_s) nn + va_get_reg64 rR14 va_s) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 360 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration (va_get_reg64 rR12 va_s)) (fun (va_s:va_state) (h:int) -> va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 362 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 363 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1)) (fun (va_s:va_state) _ -> let
(word_index:nat) = word_index + 2 in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 366 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index) (let
(va_arg50:Prims.int) = word_index in let (va_arg49:(FStar.Seq.Base.seq Vale.X64.Memory.nat64))
= Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b in let (va_arg48:Prims.int)
= r in let (va_arg47:Prims.int) = va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let
(va_arg46:Prims.int) = Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 368 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg46 va_arg47 va_arg48
va_arg49 va_arg50) (let (va_arg45:Prims.int) = word_index - 2 in let
(va_arg44:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg43:Prims.int) = r in let (va_arg42:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let (va_arg41:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 369 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg41 va_arg42 va_arg43
va_arg44 va_arg45) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 370 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:Prims.int) = r in let (va_arg39:Prims.int) = hq - hp in let (va_arg38:Prims.int) = hp
in let (va_arg37:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg37 va_arg38 va_arg39 va_arg40)
(va_QEmpty (())))))) (va_QEmpty ((h, word_index)))))))))))))))
val va_lemma_Poly1305_blocks_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old /\ va_get_reg64 rR15 va_s0 =!= 0))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15
va_s0) /\ va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_body0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_body0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_body0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 345 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
va_get_reg64 rR15 va_s0 =!= 0 /\ (forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_rax:nat64) (va_x_rbp:nat64) (va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int)
(word_index:nat) . let va_sM = va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64
rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10 (va_upd_ok va_x_ok (va_upd_flags va_x_efl
va_s0))))))))))) in va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n ==
va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\
va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h ==
va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64
rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12
va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64
rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM ==
va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM
== va_get_reg64 rRsi va_old + va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64
/\ va_in_length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8
`op_Multiply` (word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8
`op_Multiply` word_index == va_in_length /\ va_get_reg64 rRsi va_sM + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) +
8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_sM < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM)
(va_get_reg64 rRdi va_sM) va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old /\
precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_body0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int ->
va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_body0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_body0 (va_code_Poly1305_blocks_body0
()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r
va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_body0 ())) =
(va_QProc (va_code_Poly1305_blocks_body0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64
rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks_while0
val va_code_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_while0 () =
(va_Block (va_CCons (va_While (va_cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (va_Block
(va_CCons (va_code_Poly1305_blocks_body0 ()) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_while0 () =
(va_pbool_and (va_codegen_success_Poly1305_blocks_body0 ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_while0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_qWhile va_mods (Cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (fun va_g -> let (h:int) =
let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g in
word_index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_body0 va_old ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QEmpty ((h, word_index))))) (fun
(va_s:va_state) va_g -> let (h:int) = let (h, word_index) = va_g in h in let (word_index:nat) =
let (h, word_index) = va_g in word_index in va_get_ok va_s /\ n == pow2_64 /\ va_mul_nat n n ==
va_mul_nat pow2_64 pow2_64 /\ p == va_mul_nat n n `op_Multiply` 4 - 5 /\ r == va_mul_nat
(va_get_reg64 rR12 va_s) n + va_get_reg64 rR11 va_s /\ h == va_mul_nat (va_get_reg64 rRbp va_s)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s) pow2_64 + va_get_reg64 rR14
va_s /\ va_get_reg64 rR11 va_s < n `op_Division` 16 /\ va_get_reg64 rR12 va_s < n `op_Division`
16 /\ va_get_reg64 rR12 va_s `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s == va_get_reg64 rR12
va_s + va_get_reg64 rR12 va_s `op_Division` 4 /\ va_get_reg64 rRbp va_s < 5 /\ va_get_reg64
rRax va_s == va_get_reg64 rR12 va_s /\ va_get_reg64 rRsi va_s + 16 `op_Multiply` va_get_reg64
rR15 va_s == va_get_reg64 rRsi va_old + length /\ va_get_reg64 rRsi va_old + length < pow2_64
/\ length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s =!= 0 ==> 8 `op_Multiply`
(word_index + 1) <= length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s + 8 `op_Multiply`
word_index == length /\ va_get_reg64 rRsi va_s + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 inp_b (va_get_mem_heaplet 0 va_s) + 8 `op_Multiply` word_index /\
va_get_reg64 rR15 va_s `op_Multiply` 16 <= length /\ va_get_reg64 rRcx va_s < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s) (va_get_reg64 rRdi va_s) ctx_b 24
(va_get_mem_layout va_s) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s)
(va_get_reg64 rRsi va_old) inp_b (length `op_Division` 8) (va_get_mem_layout va_s) Public /\
va_get_reg64 rRdi va_s == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s == va_get_reg64
rRcx va_old /\ (va_get_reg64 rRsi va_s - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index /\
va_get_mem_heaplet 1 va_s == va_get_mem_heaplet 1 va_old) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in va_get_reg64 rR15 va_s) ((h, word_index))) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in let va_g = (h, word_index) in let ((h:int), (word_index:nat)) = va_g in
va_QEmpty ((h, word_index)))))
val va_lemma_Poly1305_blocks_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_while0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) /\ va_state_eq va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_while0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_while0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_while0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(~(va_get_reg64 rR15 va_sM =!= 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
(forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r14:nat64)
(va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_rax:nat64) (va_x_rbp:nat64)
(va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int) (word_index:nat) . let va_sM =
va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_ok va_x_ok (va_upd_flags va_x_efl va_s0))))))))))) in va_get_ok va_sM /\ va_in_n ==
pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat
va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n
+ va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64
pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\
va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM ==
va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM <
5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16
`op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ 16
`op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length /\
va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b
(va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM
`op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_while0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int
-> va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_while0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length
va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_while0
(va_code_Poly1305_blocks_while0 ()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_while0 ())) =
(va_QProc (va_code_Poly1305_blocks_while0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx;
va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks
val va_code_Poly1305_blocks : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks () =
(va_Block (va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi) 24 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRdi) 32
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rR14) (va_op_reg_opr64_reg64 rRdi) 0 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRdi) 8
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rRbp) (va_op_reg_opr64_reg64 rRdi) 16 Public) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rR12) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rR13)
(va_const_shift_amt64 2)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rR13)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Poly1305_blocks_while0 ()) (va_CCons
(va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR14) 0 Public) (va_CCons (va_code_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRbx) 8
Public) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64
rRdi) (va_op_reg_opr64_reg64 rRbp) 16 Public) (va_CNil ())))))))))))))))))
val va_codegen_success_Poly1305_blocks : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks () =
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx))
(va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdi) 24 Public) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13)
(va_op_reg_opr64_reg64 rRdi) 32 Public) (va_pbool_and (va_codegen_success_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR14) (va_op_reg_opr64_reg64 rRdi) 0
Public) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRdi) 8 Public) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbp)
(va_op_reg_opr64_reg64 rRdi) 16 Public) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Shr64
(va_op_dst_opr64_reg64 rR13) (va_const_shift_amt64 2)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_pbool_and (va_codegen_success_Add64
(va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rR12)) (va_pbool_and
(va_codegen_success_Poly1305_blocks_while0 ()) (va_pbool_and (va_codegen_success_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR14) 0
Public) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRbx) 8 Public) (va_pbool_and
(va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbp) 16 Public) (va_ttrue ()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks (va_mods:va_mods_t) (r:int) (h_in:int) (ctx_b:buffer64)
(inp_b:buffer64) : (va_quickCode (int) (va_code_Poly1305_blocks ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 285 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (let (length:int) = va_get_reg64 rRdx
va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 289 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 292 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 294 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi) 24 Public ctx_b 3) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 295 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13)
(va_op_reg_opr64_reg64 rRdi) 32 Public ctx_b 4) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 297 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR14)
(va_op_reg_opr64_reg64 rRdi) 0 Public ctx_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 298 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbx)
(va_op_reg_opr64_reg64 rRdi) 8 Public ctx_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 299 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbp)
(va_op_reg_opr64_reg64 rRdi) 16 Public ctx_b 2) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 301 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR13) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 303 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 304 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rR12)) (fun (va_s:va_state) _
-> let (h:int) = h_in in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 307 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) 0) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 309 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg39:Prims.int) = r in let (va_arg38:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n) in let (va_arg37:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 310 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg37 va_arg38 va_arg39
va_arg40 0) (va_QEmpty (())))) (let (word_index:nat) = 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 315 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_while0 va_old_s ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 374 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR14) 0 Public ctx_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 375 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbx) 8 Public ctx_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 376 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbp) 16 Public ctx_b 2) (va_QEmpty ((h)))))))))))))))))))))
val va_lemma_Poly1305_blocks : va_b0:va_code -> va_s0:va_state -> r:int -> h_in:int ->
ctx_b:buffer64 -> inp_b:buffer64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64 rRdx va_s0 `op_Modulus` 16 == 0 /\
va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 < pow2_64 /\ Vale.X64.Decls.validDstAddrs64
(va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) ctx_b 24 (va_get_mem_layout va_s0)
Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0)
inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout va_s0) Public /\ (let h0_in
= Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_s0) in let h1_in =
Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_s0) in let h2_in =
Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_s0) in let r0_in =
Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_s0) in let r1_in =
Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_s0) in h_in == va_mul_nat h2_in
(va_mul_nat n n) + va_mul_nat h1_in n + h0_in /\ r == va_mul_nat r1_in n + r0_in /\ r0_in < n
`op_Division` 16 /\ r1_in < n `op_Division` 16 /\ r1_in `op_Modulus` 4 == 0 /\ h2_in < 5 /\
va_get_reg64 rRcx va_s0 < 2))))
(ensures (fun (va_sM, va_fM, h) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64
rRbp va_sM < 5 /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64
rRdi va_sM) ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0
`op_Division` 8) (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.modifies_buffer_specific
ctx_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM) 0 2 /\ va_get_reg64 rR14 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbx va_sM
== Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbp va_sM
== Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR11 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR12 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR13 va_sM
== va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRsi va_sM
== va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRcx va_sM == va_get_reg64
rRcx va_s0 /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 /\ (let r0_in =
Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) in let r1_in =
Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) in h == va_mul_nat
(va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM)
pow2_64 + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0 `op_Division` 8))) /\ va_state_eq
va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rRax va_sM (va_update_reg64 rRbp 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_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx 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_Poly1305_blocks va_b0 va_s0 r h_in ctx_b inp_b =
let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64
rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rRdx; va_Mod_reg64 rRsi; va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_Poly1305_blocks va_mods r h_in ctx_b inp_b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let h = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in label
va_range1
"***** POSTCONDITION NOT MET AT line 264 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 265 column 66 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) ctx_b 24
(va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 266 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_s0) inp_b
(va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 267 column 65 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific ctx_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet
1 va_sM) 0 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 268 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR14 va_sM == Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 269 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 270 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM == Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 271 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 272 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM == Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 273 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 274 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 277 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 278 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 280 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) in label
va_range1
"***** POSTCONDITION NOT MET AT line 281 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) in label
va_range1
"***** POSTCONDITION NOT MET AT line 282 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 283 column 118 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0
`op_Division` 8)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_ok; va_Mod_mem]) va_sM va_s0;
let h = va_g in
(va_sM, va_fM, h)
[@ va_qattr]
let va_wp_Poly1305_blocks (r:int) (h_in:int) (ctx_b:buffer64) (inp_b:buffer64) (va_s0:va_state)
(va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64
rRdx va_s0 `op_Modulus` 16 == 0 /\ va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 < pow2_64
/\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) ctx_b
24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0
va_s0) (va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8)
(va_get_mem_layout va_s0) Public /\ (let h0_in = Vale.X64.Decls.buffer64_read ctx_b 0
(va_get_mem_heaplet 1 va_s0) in let h1_in = Vale.X64.Decls.buffer64_read ctx_b 1
(va_get_mem_heaplet 1 va_s0) in let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2
(va_get_mem_heaplet 1 va_s0) in let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3
(va_get_mem_heaplet 1 va_s0) in let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4
(va_get_mem_heaplet 1 va_s0) in h_in == va_mul_nat h2_in (va_mul_nat n n) + va_mul_nat h1_in n
+ h0_in /\ r == va_mul_nat r1_in n + r0_in /\ r0_in < n `op_Division` 16 /\ r1_in < n
`op_Division` 16 /\ r1_in `op_Modulus` 4 == 0 /\ h2_in < 5 /\ va_get_reg64 rRcx va_s0 < 2)) /\
(forall (va_x_mem:vale_heap) (va_x_rsi:nat64) (va_x_rdx:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_r10:nat64) (va_x_r11:nat64) (va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64)
(va_x_rbx:nat64) (va_x_rbp:nat64) (va_x_rax:nat64) (va_x_r15:nat64) (va_x_efl:Vale.X64.Flags.t)
(va_x_heap1:vale_heap) (h:int) . let va_sM = va_upd_mem_heaplet 1 va_x_heap1 (va_upd_flags
va_x_efl (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRbp va_x_rbp
(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_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRsi va_x_rsi (va_upd_mem va_x_mem va_s0))))))))))))))) in va_get_ok va_sM /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64 rRbp va_sM < 5 /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) ctx_b 24
(va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM)
(va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout
va_sM) Public /\ Vale.X64.Decls.modifies_buffer_specific ctx_b (va_get_mem_heaplet 1 va_s0)
(va_get_mem_heaplet 1 va_sM) 0 2 /\ va_get_reg64 rR14 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 0 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbx va_sM == Vale.X64.Decls.buffer64_read
ctx_b 1 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbp va_sM == Vale.X64.Decls.buffer64_read
ctx_b 2 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 3 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR12 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 4 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM +
va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 +
va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0 /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_s0 /\ (let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3
(va_get_mem_heaplet 1 va_sM) in let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4
(va_get_mem_heaplet 1 va_sM) in h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64
pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0
`op_Division` 8))) ==> va_k va_sM ((h))))
val va_wpProof_Poly1305_blocks : r:int -> h_in:int -> ctx_b:buffer64 -> inp_b:buffer64 ->
va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks r h_in ctx_b inp_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks ())
([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi;
va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks r h_in ctx_b inp_b va_s0 va_k =
let (va_sM, va_f0, h) = va_lemma_Poly1305_blocks (va_code_Poly1305_blocks ()) va_s0 r h_in ctx_b
inp_b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM (va_update_reg64
rR15 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRbp 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_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx 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_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_mem]) va_sM va_s0;
let va_g = (h) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks (r:int) (h_in:int) (ctx_b:buffer64) (inp_b:buffer64) : (va_quickCode
int (va_code_Poly1305_blocks ())) =
(va_QProc (va_code_Poly1305_blocks ()) ([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15;
va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_mem]) (va_wp_Poly1305_blocks r h_in ctx_b inp_b)
(va_wpProof_Poly1305_blocks r h_in ctx_b inp_b))
//--
//-- Poly1305_last_block
val va_code_Poly1305_last_block : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_last_block () =
(va_Block (va_CCons (va_IfElse (va_cmp_lt (va_op_cmp_reg64 rR15) (va_const_cmp 8)) (va_Block
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_CCons
(va_code_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_CCons (va_code_Shl64
(va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Sub64
(va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ())))))))))))))))) (va_Block
(va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx)
(va_op_opr64_reg64 rR15)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64
8)) (va_CCons (va_code_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_CCons (va_code_Shl64
(va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (va_CCons (va_Block (va_CNil ()))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))))))))))) (va_CCons
(va_code_Poly1305_iteration ()) (va_CNil ()))))
val va_codegen_success_Poly1305_last_block : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_last_block () =
(va_pbool_and (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx)
(va_op_opr64_reg64 rR15)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRcx)
(va_const_shift_amt64 3)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx)
(va_const_opr64 1)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRdx)
(va_op_shift_amt64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRcx) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64
rRcx) (va_const_opr64 1)) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9)
(va_const_opr64 0)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_pbool_and
(va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 8)) (va_pbool_and
(va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_pbool_and
(va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64
rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRdx)) (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_const_opr64 0))))))))))))))))))))))))))))) (va_pbool_and
(va_codegen_success_Poly1305_iteration ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_last_block (va_mods:va_mods_t) : (va_quickCode unit
(va_code_Poly1305_last_block ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r1:nat64) = va_get_reg64 rRax va_s in let
(r:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s) r1 in
let (hBlocks:Prims.int) = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s) (va_get_reg64 rRbx va_s)) (va_get_reg64 rRbp va_s) in let
(inpLast:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s)
(va_get_reg64 rR9 va_s) in let (padLast:Prims.pos) = Prims.pow2 (va_get_reg64 rR15 va_s
`op_Multiply` 8) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 409 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_qIf va_mods (Cmp_lt (va_op_cmp_reg64 rR15) (va_const_cmp 8)) (qblock va_mods (fun
(va_s:va_state) -> let (va_arg78:Vale.Def.Types_s.nat64) = va_get_reg64 rR15 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 410 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_shift_power2 va_arg78) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 412 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 413 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 414 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (fun
(va_s:va_state) _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 415 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdx va_s == padLast) (let (va_arg77:Vale.Def.Types_s.nat64) = va_get_reg64 rR15
va_s in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 417 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_and_mod va_arg76 va_arg77) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 419 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(padLast == Vale.Poly1305.Math.shift_left64 1 (Vale.Poly1305.Math.shift_left64 (va_get_reg64
rR15 va_s) 3)) (let (va_arg75:Prims.int) = Prims.pow2 (va_get_reg64 rR15 va_s `op_Multiply` 8)
in let (va_arg74:Prims.int) = va_get_reg64 rR15 va_s in let (va_arg73:Vale.Def.Types_s.nat64) =
va_get_reg64 rR9 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 420 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mod_power2_lo va_arg72 va_arg73 va_arg74 va_arg75)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 421 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 422 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 425 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR8 va_s == va_get_reg64 rR8 va_old_s `op_Modulus` padLast) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 426 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) == inpLast
`op_Modulus` padLast) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 429 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 430 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 431 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 433 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 434 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 435 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QEmpty
(())))))))))))))))))))))))) (qblock va_mods (fun (va_s:va_state) -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 437 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_s - 8 >= 0 /\ va_get_reg64 rR15 va_s - 8 <= 255) (fun _ -> let
(nExtra8:nat8) = va_get_reg64 rR15 va_s - 8 in let (va_arg85:Vale.Def.Types_s.nat64) = nExtra8
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_shift_power2 va_arg85) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 441 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 442 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 443 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (fun
(va_s:va_state) _ -> va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 445 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(padLast == Vale.Poly1305.Math.lowerUpper128 0 (va_get_reg64 rRdx va_s)) (let
(va_arg84:Prims.nat) = 8 `op_Multiply` nExtra8 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 446 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_power2_add64 va_arg84) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 447 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (())))) (let
(va_arg83:Vale.Def.Types_s.nat64) = nExtra8 in let (va_arg82:Vale.Def.Types_s.nat64) =
va_get_reg64 rR9 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 451 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_and_mod va_arg82 va_arg83) (va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 452 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Prims.pow2 (8 `op_Multiply` nExtra8) >= 0 /\ Prims.pow2 (8 `op_Multiply` nExtra8) <=
18446744073709551615) (fun _ -> let (va_arg81:Vale.Def.Types_s.nat64) = Prims.pow2 (8
`op_Multiply` nExtra8) in let (va_arg80:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let
(va_arg79:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 452 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mod_hi va_arg79 va_arg80 va_arg81) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 453 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 454 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 455 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ ->
va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 456 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) == inpLast
`op_Modulus` padLast) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 459 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 460 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 461 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 463 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 464 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 465 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QEmpty
(()))))))))))))))))))))))))) (fun (va_s:va_state) va_g -> let (h:int) = hBlocks + inpLast
`op_Modulus` padLast + padLast in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 469 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx
va_s) n + va_get_reg64 rR14 va_s) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 469 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper192_reveal ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 469 column 93 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (())))) (va_qAssertBy
va_range1
"***** PRECONDITION NOT MET AT line 470 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(r == va_mul_nat r1 n + va_get_reg64 rR11 va_s) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 470 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (()))) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 471 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration r1) (fun (va_s:va_state) (hLast:int) -> va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 472 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hLast == Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14
va_s) (va_get_reg64 rRbx va_s)) (va_get_reg64 rRbp va_s)) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 472 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper192_reveal ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 472 column 111 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (())))) (let
(va_arg71:Prims.int) = r in let (va_arg70:Prims.int) = inpLast `op_Modulus` padLast + padLast
in let (va_arg69:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 473 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg69 hBlocks va_arg70 va_arg71)
(va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 474 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp ((Vale.Poly1305.Spec_s.modp
hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply` r)) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 474 column 90 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_QEmpty (()))) (va_QEmpty (()))))))))))
val va_lemma_Poly1305_last_block : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Poly1305_last_block ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in
va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n
`op_Division` 16 /\ r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division`
4 /\ (1 <= va_get_reg64 rR15 va_s0 /\ va_get_reg64 rR15 va_s0 < 16))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in
va_get_reg64 rRbp va_sM < 5 /\ (let padLast = Prims.pow2 (va_get_reg64 rR15 va_sM `op_Multiply`
8) in let hLast = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM)) (va_get_reg64 rRbp va_sM) in
Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp ((Vale.Poly1305.Spec_s.modp
hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply` r))) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_last_block va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_last_block va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_last_block ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 380 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in label
va_range1
"***** POSTCONDITION NOT MET AT line 402 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let padLast = Prims.pow2 (va_get_reg64 rR15 va_sM `op_Multiply` 8) in label va_range1
"***** POSTCONDITION NOT MET AT line 404 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let hLast = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64
rR14 va_sM) (va_get_reg64 rRbx va_sM)) (va_get_reg64 rRbp va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 405 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp ((Vale.Poly1305.Spec_s.modp
hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply` r)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Poly1305_last_block (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in
va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n
`op_Division` 16 /\ r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division`
4 /\ (1 <= va_get_reg64 rR15 va_s0 /\ va_get_reg64 rR15 va_s0 < 16)) /\ (forall
(va_x_rax:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64) (va_x_efl:Vale.X64.Flags.t)
. let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax
va_s0))))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r1:nat64) = va_get_reg64 rRax va_s0 in let
(r:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in
let (hBlocks:Prims.int) = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let
(inpLast:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0)
(va_get_reg64 rR9 va_s0) in va_get_reg64 rRbp va_sM < 5 /\ (let padLast = Prims.pow2
(va_get_reg64 rR15 va_sM `op_Multiply` 8) in let hLast = Vale.Poly1305.Math.lowerUpper192
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM))
(va_get_reg64 rRbp va_sM) in Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp
((Vale.Poly1305.Spec_s.modp hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply`
r))) ==> va_k va_sM (())))
val va_wpProof_Poly1305_last_block : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_last_block va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_last_block ())
([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10;
va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_last_block va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Poly1305_last_block (va_code_Poly1305_last_block ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_last_block () : (va_quickCode unit (va_code_Poly1305_last_block ())) =
(va_QProc (va_code_Poly1305_last_block ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Poly1305_last_block va_wpProof_Poly1305_last_block)
//--
//-- Poly1305_reduce_last
val va_code_Poly1305_reduce_last : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce_last () =
(va_Block (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rR14))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_const_opr64 5)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Shr64
(va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Sub64Wrap
(va_op_dst_opr64_reg64 rRax) (va_const_opr64 1)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Sub64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Add64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Add64
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_CNil ())))))))))))))))))))
val va_codegen_success_Poly1305_reduce_last : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce_last () =
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rR14))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_const_opr64 5))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rRax) (va_const_opr64 1))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0))
(va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRax)) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64
rRax)) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64
rR8)) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR9)) (va_ttrue ()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce_last (va_mods:va_mods_t) : (va_quickCode unit
(va_code_Poly1305_reduce_last ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s)
(va_get_reg64 rRbx va_s)) (va_get_reg64 rRbp va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 490 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 492 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 493 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 494 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 495 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_const_opr64 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 496 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 497 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 499 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h + 5 == Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8
va_s) (va_get_reg64 rR9 va_s)) (va_get_reg64 rR10 va_s)) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 500 column 34 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 500 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper192_reveal ()) (va_QEmpty (())))) (let
(va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let
(va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let
(va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg29:Prims.int) = h + 5
in let (va_arg28:Vale.Def.Types_s.nat64) = va_get_reg64 rR14 va_old_s in let
(va_arg27:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_old_s in let
(va_arg26:Vale.Def.Types_s.nat64) = va_get_reg64 rRbp va_old_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 501 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_reduce128 h va_arg26 va_arg27 va_arg28 va_arg29
va_arg30 va_arg31 va_arg32) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 503 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 505 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 506 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rRax) (va_const_opr64 1)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 508 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 509 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 511 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 512 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 514 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 515 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 518 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 519 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QEmpty
(())))))))))))))))))))))))
val va_lemma_Poly1305_reduce_last : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce_last ()) va_s0 /\ va_get_ok va_s0 /\
(let (h:Prims.int) = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in va_get_reg64
rRbp va_s0 < 5)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h:Prims.int) = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM) ==
Vale.Poly1305.Spec_s.mod2_128 (Vale.Poly1305.Spec_s.modp h)) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce_last va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rRax; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce_last va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce_last ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 478 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (h:Prims.int) = Vale.Poly1305.Math.lowerUpper192
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0))
(va_get_reg64 rRbp va_s0) in label va_range1
"***** POSTCONDITION NOT MET AT line 488 column 51 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM) ==
Vale.Poly1305.Spec_s.mod2_128 (Vale.Poly1305.Spec_s.modp h)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rRax; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Poly1305_reduce_last (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (h:Prims.int) = Vale.Poly1305.Math.lowerUpper192
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0))
(va_get_reg64 rRbp va_s0) in va_get_reg64 rRbp va_s0 < 5) /\ (forall (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_rax:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64
rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rRax
va_x_rax (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8
va_s0))))))) in va_get_ok va_sM /\ (let (h:Prims.int) = Vale.Poly1305.Math.lowerUpper192
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0))
(va_get_reg64 rRbp va_s0) in Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM)
(va_get_reg64 rRbx va_sM) == Vale.Poly1305.Spec_s.mod2_128 (Vale.Poly1305.Spec_s.modp h)) ==>
va_k va_sM (())))
val va_wpProof_Poly1305_reduce_last : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce_last va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce_last ())
([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rRax;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce_last va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Poly1305_reduce_last (va_code_Poly1305_reduce_last ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rR10 va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rRax; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce_last () : (va_quickCode unit (va_code_Poly1305_reduce_last ())) =
(va_QProc (va_code_Poly1305_reduce_last ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rRax; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_wp_Poly1305_reduce_last va_wpProof_Poly1305_reduce_last)
//--
//-- Poly1305_add_key_s
val va_code_Poly1305_add_key_s : 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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.X64.Decls.va_code | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.X64.Decls.va_Block",
"Vale.X64.Decls.va_CCons",
"Vale.X64.InsBasic.va_code_Add64Wrap",
"Vale.X64.Decls.va_op_dst_opr64_reg64",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Decls.va_op_opr64_reg64",
"Vale.X64.Machine_s.rRax",
"Vale.X64.InsBasic.va_code_Adc64Wrap",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Decls.va_CNil",
"Vale.X64.Decls.va_code"
] | [] | false | false | false | true | false | let va_code_Poly1305_add_key_s () =
| (va_Block (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRdx))
(va_CNil ())))) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_quick_Poly1305_last_block | val va_quick_Poly1305_last_block: Prims.unit -> (va_quickCode unit (va_code_Poly1305_last_block ())) | val va_quick_Poly1305_last_block: Prims.unit -> (va_quickCode unit (va_code_Poly1305_last_block ())) | let va_quick_Poly1305_last_block () : (va_quickCode unit (va_code_Poly1305_last_block ())) =
(va_QProc (va_code_Poly1305_last_block ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Poly1305_last_block va_wpProof_Poly1305_last_block) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 100,
"end_line": 2023,
"start_col": 0,
"start_line": 2020
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce)
//--
//-- Poly1305_iteration
val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_iteration () =
(va_Block (va_CCons (va_code_Poly1305_multiply ()) (va_CCons (va_code_Poly1305_reduce ())
(va_CNil ()))))
val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_iteration () =
(va_pbool_and (va_codegen_success_Poly1305_multiply ()) (va_pbool_and
(va_codegen_success_Poly1305_reduce ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_iteration (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_iteration ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in let (va_arg50:Prims.int) = n `op_Division` 16 in let
(va_arg49:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg48:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg48 7 va_arg49 va_arg50)
(let (va_arg47:Prims.int) = n `op_Division` 16 in let (va_arg46:Prims.int) = r1 in let
(va_arg45:Prims.int) = n in let (va_arg44:Prims.int) = va_get_reg64 rR14 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 211 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg44 va_arg45 va_arg46
va_arg47) (let (va_arg43:Prims.int) = n `op_Division` 16 in let (va_arg42:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg41:Prims.int) = n in let (va_arg40:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg40 va_arg41 va_arg42
va_arg43) (let (va_arg39:Prims.int) = n `op_Division` 8 in let (va_arg38:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg37:Prims.int) = n in let (va_arg36:Prims.int) =
va_get_reg64 rRbp va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg36 va_arg37 va_arg38
va_arg39) (let (va_arg35:Prims.int) = n `op_Division` 16 in let (va_arg34:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg33:Prims.int) = n in let (va_arg32:Prims.int) =
va_get_reg64 rR14 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg32 va_arg33 va_arg34
va_arg35) (let (va_arg31:Prims.int) = n `op_Division` 8 in let (va_arg30:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg29:Prims.int) = n in let (va_arg28:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg28 va_arg29 va_arg30
va_arg31) (let (va_arg27:Prims.int) = 5 `op_Multiply` n `op_Division` 64 in let
(va_arg26:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg25:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg25 7 va_arg26 va_arg27)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 218 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_multiply r1) (fun (va_s:va_state) (hd:int) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_reduce ()) (fun (va_s:va_state) (hh:int) -> va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 220 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 221 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(l_and (hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_s) + va_mul_nat n (va_get_reg64
rRbx va_s) + va_get_reg64 rR14 va_s) (va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p))
(va_QEmpty ((hh)))))))))))))))
val va_lemma_Poly1305_iteration : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_iteration ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp (va_mul_nat h r) ==
Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_iteration va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_iteration va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_iteration ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 180 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 201 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp (va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_iteration (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1) /\ (forall (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp
(va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_iteration : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_iteration r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_iteration ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_iteration r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_iteration (va_code_Poly1305_iteration ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_iteration (r1:nat64) : (va_quickCode int (va_code_Poly1305_iteration ())) =
(va_QProc (va_code_Poly1305_iteration ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRax]) (va_wp_Poly1305_iteration r1) (va_wpProof_Poly1305_iteration r1))
//--
//-- Poly1305_blocks_body0
val va_code_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_body0 () =
(va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Public))
(va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_CCons
(va_code_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (va_CCons
(va_code_Poly1305_iteration ()) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64
1)) (va_CNil ())))))))))))
val va_codegen_success_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_body0 () =
(va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0)
(va_op_reg64_reg64 rRsi) 0 Public)) (va_pbool_and (va_codegen_success_Mem64_lemma ())
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64
(va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_pbool_and
(va_codegen_success_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi)
(va_const_opr64 16)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Poly1305_iteration ())
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1))
(va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_body0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in let (nn:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (hp:int) = h in let (h:int) = h +
va_mul_nat (va_mul_nat nn nn) (va_get_reg64 rRcx va_s) + va_mul_nat nn
(Vale.X64.Decls.buffer64_read inp_b (word_index + 1) (va_get_mem_heaplet 0 va_s)) +
Vale.X64.Decls.buffer64_read inp_b word_index (va_get_mem_heaplet 0 va_s) in let (hq:int) = h
in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inp_b word_index
Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 0 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inp_b
(word_index + 1) Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 355 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 356 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state)
_ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 358 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hq == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat nn nn) + va_mul_nat (va_get_reg64 rRbx
va_s) nn + va_get_reg64 rR14 va_s) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 360 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration (va_get_reg64 rR12 va_s)) (fun (va_s:va_state) (h:int) -> va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 362 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 363 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1)) (fun (va_s:va_state) _ -> let
(word_index:nat) = word_index + 2 in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 366 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index) (let
(va_arg50:Prims.int) = word_index in let (va_arg49:(FStar.Seq.Base.seq Vale.X64.Memory.nat64))
= Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b in let (va_arg48:Prims.int)
= r in let (va_arg47:Prims.int) = va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let
(va_arg46:Prims.int) = Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 368 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg46 va_arg47 va_arg48
va_arg49 va_arg50) (let (va_arg45:Prims.int) = word_index - 2 in let
(va_arg44:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg43:Prims.int) = r in let (va_arg42:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let (va_arg41:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 369 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg41 va_arg42 va_arg43
va_arg44 va_arg45) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 370 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:Prims.int) = r in let (va_arg39:Prims.int) = hq - hp in let (va_arg38:Prims.int) = hp
in let (va_arg37:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg37 va_arg38 va_arg39 va_arg40)
(va_QEmpty (())))))) (va_QEmpty ((h, word_index)))))))))))))))
val va_lemma_Poly1305_blocks_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old /\ va_get_reg64 rR15 va_s0 =!= 0))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15
va_s0) /\ va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_body0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_body0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_body0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 345 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
va_get_reg64 rR15 va_s0 =!= 0 /\ (forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_rax:nat64) (va_x_rbp:nat64) (va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int)
(word_index:nat) . let va_sM = va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64
rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10 (va_upd_ok va_x_ok (va_upd_flags va_x_efl
va_s0))))))))))) in va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n ==
va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\
va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h ==
va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64
rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12
va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64
rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM ==
va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM
== va_get_reg64 rRsi va_old + va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64
/\ va_in_length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8
`op_Multiply` (word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8
`op_Multiply` word_index == va_in_length /\ va_get_reg64 rRsi va_sM + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) +
8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_sM < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM)
(va_get_reg64 rRdi va_sM) va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old /\
precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_body0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int ->
va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_body0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_body0 (va_code_Poly1305_blocks_body0
()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r
va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_body0 ())) =
(va_QProc (va_code_Poly1305_blocks_body0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64
rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks_while0
val va_code_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_while0 () =
(va_Block (va_CCons (va_While (va_cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (va_Block
(va_CCons (va_code_Poly1305_blocks_body0 ()) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_while0 () =
(va_pbool_and (va_codegen_success_Poly1305_blocks_body0 ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_while0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_qWhile va_mods (Cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (fun va_g -> let (h:int) =
let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g in
word_index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_body0 va_old ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QEmpty ((h, word_index))))) (fun
(va_s:va_state) va_g -> let (h:int) = let (h, word_index) = va_g in h in let (word_index:nat) =
let (h, word_index) = va_g in word_index in va_get_ok va_s /\ n == pow2_64 /\ va_mul_nat n n ==
va_mul_nat pow2_64 pow2_64 /\ p == va_mul_nat n n `op_Multiply` 4 - 5 /\ r == va_mul_nat
(va_get_reg64 rR12 va_s) n + va_get_reg64 rR11 va_s /\ h == va_mul_nat (va_get_reg64 rRbp va_s)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s) pow2_64 + va_get_reg64 rR14
va_s /\ va_get_reg64 rR11 va_s < n `op_Division` 16 /\ va_get_reg64 rR12 va_s < n `op_Division`
16 /\ va_get_reg64 rR12 va_s `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s == va_get_reg64 rR12
va_s + va_get_reg64 rR12 va_s `op_Division` 4 /\ va_get_reg64 rRbp va_s < 5 /\ va_get_reg64
rRax va_s == va_get_reg64 rR12 va_s /\ va_get_reg64 rRsi va_s + 16 `op_Multiply` va_get_reg64
rR15 va_s == va_get_reg64 rRsi va_old + length /\ va_get_reg64 rRsi va_old + length < pow2_64
/\ length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s =!= 0 ==> 8 `op_Multiply`
(word_index + 1) <= length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s + 8 `op_Multiply`
word_index == length /\ va_get_reg64 rRsi va_s + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 inp_b (va_get_mem_heaplet 0 va_s) + 8 `op_Multiply` word_index /\
va_get_reg64 rR15 va_s `op_Multiply` 16 <= length /\ va_get_reg64 rRcx va_s < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s) (va_get_reg64 rRdi va_s) ctx_b 24
(va_get_mem_layout va_s) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s)
(va_get_reg64 rRsi va_old) inp_b (length `op_Division` 8) (va_get_mem_layout va_s) Public /\
va_get_reg64 rRdi va_s == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s == va_get_reg64
rRcx va_old /\ (va_get_reg64 rRsi va_s - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index /\
va_get_mem_heaplet 1 va_s == va_get_mem_heaplet 1 va_old) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in va_get_reg64 rR15 va_s) ((h, word_index))) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in let va_g = (h, word_index) in let ((h:int), (word_index:nat)) = va_g in
va_QEmpty ((h, word_index)))))
val va_lemma_Poly1305_blocks_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_while0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) /\ va_state_eq va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_while0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_while0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_while0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(~(va_get_reg64 rR15 va_sM =!= 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
(forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r14:nat64)
(va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_rax:nat64) (va_x_rbp:nat64)
(va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int) (word_index:nat) . let va_sM =
va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_ok va_x_ok (va_upd_flags va_x_efl va_s0))))))))))) in va_get_ok va_sM /\ va_in_n ==
pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat
va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n
+ va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64
pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\
va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM ==
va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM <
5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16
`op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ 16
`op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length /\
va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b
(va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM
`op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_while0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int
-> va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_while0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length
va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_while0
(va_code_Poly1305_blocks_while0 ()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_while0 ())) =
(va_QProc (va_code_Poly1305_blocks_while0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx;
va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks
val va_code_Poly1305_blocks : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks () =
(va_Block (va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi) 24 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRdi) 32
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rR14) (va_op_reg_opr64_reg64 rRdi) 0 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRdi) 8
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rRbp) (va_op_reg_opr64_reg64 rRdi) 16 Public) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rR12) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rR13)
(va_const_shift_amt64 2)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rR13)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Poly1305_blocks_while0 ()) (va_CCons
(va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR14) 0 Public) (va_CCons (va_code_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRbx) 8
Public) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64
rRdi) (va_op_reg_opr64_reg64 rRbp) 16 Public) (va_CNil ())))))))))))))))))
val va_codegen_success_Poly1305_blocks : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks () =
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx))
(va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdi) 24 Public) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13)
(va_op_reg_opr64_reg64 rRdi) 32 Public) (va_pbool_and (va_codegen_success_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR14) (va_op_reg_opr64_reg64 rRdi) 0
Public) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRdi) 8 Public) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbp)
(va_op_reg_opr64_reg64 rRdi) 16 Public) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Shr64
(va_op_dst_opr64_reg64 rR13) (va_const_shift_amt64 2)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_pbool_and (va_codegen_success_Add64
(va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rR12)) (va_pbool_and
(va_codegen_success_Poly1305_blocks_while0 ()) (va_pbool_and (va_codegen_success_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR14) 0
Public) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRbx) 8 Public) (va_pbool_and
(va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbp) 16 Public) (va_ttrue ()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks (va_mods:va_mods_t) (r:int) (h_in:int) (ctx_b:buffer64)
(inp_b:buffer64) : (va_quickCode (int) (va_code_Poly1305_blocks ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 285 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (let (length:int) = va_get_reg64 rRdx
va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 289 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 292 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 294 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi) 24 Public ctx_b 3) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 295 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13)
(va_op_reg_opr64_reg64 rRdi) 32 Public ctx_b 4) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 297 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR14)
(va_op_reg_opr64_reg64 rRdi) 0 Public ctx_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 298 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbx)
(va_op_reg_opr64_reg64 rRdi) 8 Public ctx_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 299 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbp)
(va_op_reg_opr64_reg64 rRdi) 16 Public ctx_b 2) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 301 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR13) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 303 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 304 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rR12)) (fun (va_s:va_state) _
-> let (h:int) = h_in in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 307 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) 0) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 309 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg39:Prims.int) = r in let (va_arg38:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n) in let (va_arg37:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 310 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg37 va_arg38 va_arg39
va_arg40 0) (va_QEmpty (())))) (let (word_index:nat) = 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 315 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_while0 va_old_s ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 374 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR14) 0 Public ctx_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 375 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbx) 8 Public ctx_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 376 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbp) 16 Public ctx_b 2) (va_QEmpty ((h)))))))))))))))))))))
val va_lemma_Poly1305_blocks : va_b0:va_code -> va_s0:va_state -> r:int -> h_in:int ->
ctx_b:buffer64 -> inp_b:buffer64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64 rRdx va_s0 `op_Modulus` 16 == 0 /\
va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 < pow2_64 /\ Vale.X64.Decls.validDstAddrs64
(va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) ctx_b 24 (va_get_mem_layout va_s0)
Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0)
inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout va_s0) Public /\ (let h0_in
= Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_s0) in let h1_in =
Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_s0) in let h2_in =
Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_s0) in let r0_in =
Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_s0) in let r1_in =
Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_s0) in h_in == va_mul_nat h2_in
(va_mul_nat n n) + va_mul_nat h1_in n + h0_in /\ r == va_mul_nat r1_in n + r0_in /\ r0_in < n
`op_Division` 16 /\ r1_in < n `op_Division` 16 /\ r1_in `op_Modulus` 4 == 0 /\ h2_in < 5 /\
va_get_reg64 rRcx va_s0 < 2))))
(ensures (fun (va_sM, va_fM, h) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64
rRbp va_sM < 5 /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64
rRdi va_sM) ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0
`op_Division` 8) (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.modifies_buffer_specific
ctx_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM) 0 2 /\ va_get_reg64 rR14 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbx va_sM
== Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbp va_sM
== Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR11 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR12 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR13 va_sM
== va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRsi va_sM
== va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRcx va_sM == va_get_reg64
rRcx va_s0 /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 /\ (let r0_in =
Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) in let r1_in =
Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) in h == va_mul_nat
(va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM)
pow2_64 + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0 `op_Division` 8))) /\ va_state_eq
va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rRax va_sM (va_update_reg64 rRbp 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_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx 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_Poly1305_blocks va_b0 va_s0 r h_in ctx_b inp_b =
let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64
rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rRdx; va_Mod_reg64 rRsi; va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_Poly1305_blocks va_mods r h_in ctx_b inp_b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let h = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in label
va_range1
"***** POSTCONDITION NOT MET AT line 264 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 265 column 66 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) ctx_b 24
(va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 266 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_s0) inp_b
(va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 267 column 65 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific ctx_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet
1 va_sM) 0 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 268 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR14 va_sM == Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 269 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 270 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM == Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 271 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 272 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM == Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 273 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 274 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 277 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 278 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 280 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) in label
va_range1
"***** POSTCONDITION NOT MET AT line 281 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) in label
va_range1
"***** POSTCONDITION NOT MET AT line 282 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 283 column 118 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0
`op_Division` 8)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_ok; va_Mod_mem]) va_sM va_s0;
let h = va_g in
(va_sM, va_fM, h)
[@ va_qattr]
let va_wp_Poly1305_blocks (r:int) (h_in:int) (ctx_b:buffer64) (inp_b:buffer64) (va_s0:va_state)
(va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64
rRdx va_s0 `op_Modulus` 16 == 0 /\ va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 < pow2_64
/\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) ctx_b
24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0
va_s0) (va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8)
(va_get_mem_layout va_s0) Public /\ (let h0_in = Vale.X64.Decls.buffer64_read ctx_b 0
(va_get_mem_heaplet 1 va_s0) in let h1_in = Vale.X64.Decls.buffer64_read ctx_b 1
(va_get_mem_heaplet 1 va_s0) in let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2
(va_get_mem_heaplet 1 va_s0) in let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3
(va_get_mem_heaplet 1 va_s0) in let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4
(va_get_mem_heaplet 1 va_s0) in h_in == va_mul_nat h2_in (va_mul_nat n n) + va_mul_nat h1_in n
+ h0_in /\ r == va_mul_nat r1_in n + r0_in /\ r0_in < n `op_Division` 16 /\ r1_in < n
`op_Division` 16 /\ r1_in `op_Modulus` 4 == 0 /\ h2_in < 5 /\ va_get_reg64 rRcx va_s0 < 2)) /\
(forall (va_x_mem:vale_heap) (va_x_rsi:nat64) (va_x_rdx:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_r10:nat64) (va_x_r11:nat64) (va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64)
(va_x_rbx:nat64) (va_x_rbp:nat64) (va_x_rax:nat64) (va_x_r15:nat64) (va_x_efl:Vale.X64.Flags.t)
(va_x_heap1:vale_heap) (h:int) . let va_sM = va_upd_mem_heaplet 1 va_x_heap1 (va_upd_flags
va_x_efl (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRbp va_x_rbp
(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_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRsi va_x_rsi (va_upd_mem va_x_mem va_s0))))))))))))))) in va_get_ok va_sM /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64 rRbp va_sM < 5 /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) ctx_b 24
(va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM)
(va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout
va_sM) Public /\ Vale.X64.Decls.modifies_buffer_specific ctx_b (va_get_mem_heaplet 1 va_s0)
(va_get_mem_heaplet 1 va_sM) 0 2 /\ va_get_reg64 rR14 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 0 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbx va_sM == Vale.X64.Decls.buffer64_read
ctx_b 1 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbp va_sM == Vale.X64.Decls.buffer64_read
ctx_b 2 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 3 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR12 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 4 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM +
va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 +
va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0 /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_s0 /\ (let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3
(va_get_mem_heaplet 1 va_sM) in let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4
(va_get_mem_heaplet 1 va_sM) in h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64
pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0
`op_Division` 8))) ==> va_k va_sM ((h))))
val va_wpProof_Poly1305_blocks : r:int -> h_in:int -> ctx_b:buffer64 -> inp_b:buffer64 ->
va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks r h_in ctx_b inp_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks ())
([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi;
va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks r h_in ctx_b inp_b va_s0 va_k =
let (va_sM, va_f0, h) = va_lemma_Poly1305_blocks (va_code_Poly1305_blocks ()) va_s0 r h_in ctx_b
inp_b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM (va_update_reg64
rR15 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRbp 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_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx 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_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_mem]) va_sM va_s0;
let va_g = (h) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks (r:int) (h_in:int) (ctx_b:buffer64) (inp_b:buffer64) : (va_quickCode
int (va_code_Poly1305_blocks ())) =
(va_QProc (va_code_Poly1305_blocks ()) ([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15;
va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_mem]) (va_wp_Poly1305_blocks r h_in ctx_b inp_b)
(va_wpProof_Poly1305_blocks r h_in ctx_b inp_b))
//--
//-- Poly1305_last_block
val va_code_Poly1305_last_block : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_last_block () =
(va_Block (va_CCons (va_IfElse (va_cmp_lt (va_op_cmp_reg64 rR15) (va_const_cmp 8)) (va_Block
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_CCons
(va_code_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_CCons (va_code_Shl64
(va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Sub64
(va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ())))))))))))))))) (va_Block
(va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx)
(va_op_opr64_reg64 rR15)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64
8)) (va_CCons (va_code_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_CCons (va_code_Shl64
(va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (va_CCons (va_Block (va_CNil ()))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))))))))))) (va_CCons
(va_code_Poly1305_iteration ()) (va_CNil ()))))
val va_codegen_success_Poly1305_last_block : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_last_block () =
(va_pbool_and (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx)
(va_op_opr64_reg64 rR15)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRcx)
(va_const_shift_amt64 3)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx)
(va_const_opr64 1)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRdx)
(va_op_shift_amt64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRcx) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64
rRcx) (va_const_opr64 1)) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9)
(va_const_opr64 0)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_pbool_and
(va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 8)) (va_pbool_and
(va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_pbool_and
(va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64
rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRdx)) (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_const_opr64 0))))))))))))))))))))))))))))) (va_pbool_and
(va_codegen_success_Poly1305_iteration ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_last_block (va_mods:va_mods_t) : (va_quickCode unit
(va_code_Poly1305_last_block ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r1:nat64) = va_get_reg64 rRax va_s in let
(r:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s) r1 in
let (hBlocks:Prims.int) = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s) (va_get_reg64 rRbx va_s)) (va_get_reg64 rRbp va_s) in let
(inpLast:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s)
(va_get_reg64 rR9 va_s) in let (padLast:Prims.pos) = Prims.pow2 (va_get_reg64 rR15 va_s
`op_Multiply` 8) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 409 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_qIf va_mods (Cmp_lt (va_op_cmp_reg64 rR15) (va_const_cmp 8)) (qblock va_mods (fun
(va_s:va_state) -> let (va_arg78:Vale.Def.Types_s.nat64) = va_get_reg64 rR15 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 410 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_shift_power2 va_arg78) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 412 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 413 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 414 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (fun
(va_s:va_state) _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 415 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdx va_s == padLast) (let (va_arg77:Vale.Def.Types_s.nat64) = va_get_reg64 rR15
va_s in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 417 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_and_mod va_arg76 va_arg77) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 419 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(padLast == Vale.Poly1305.Math.shift_left64 1 (Vale.Poly1305.Math.shift_left64 (va_get_reg64
rR15 va_s) 3)) (let (va_arg75:Prims.int) = Prims.pow2 (va_get_reg64 rR15 va_s `op_Multiply` 8)
in let (va_arg74:Prims.int) = va_get_reg64 rR15 va_s in let (va_arg73:Vale.Def.Types_s.nat64) =
va_get_reg64 rR9 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 420 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mod_power2_lo va_arg72 va_arg73 va_arg74 va_arg75)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 421 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 422 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 425 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR8 va_s == va_get_reg64 rR8 va_old_s `op_Modulus` padLast) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 426 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) == inpLast
`op_Modulus` padLast) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 429 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 430 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 431 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 433 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 434 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 435 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QEmpty
(())))))))))))))))))))))))) (qblock va_mods (fun (va_s:va_state) -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 437 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_s - 8 >= 0 /\ va_get_reg64 rR15 va_s - 8 <= 255) (fun _ -> let
(nExtra8:nat8) = va_get_reg64 rR15 va_s - 8 in let (va_arg85:Vale.Def.Types_s.nat64) = nExtra8
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_shift_power2 va_arg85) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 441 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 442 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 443 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (fun
(va_s:va_state) _ -> va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 445 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(padLast == Vale.Poly1305.Math.lowerUpper128 0 (va_get_reg64 rRdx va_s)) (let
(va_arg84:Prims.nat) = 8 `op_Multiply` nExtra8 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 446 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_power2_add64 va_arg84) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 447 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (())))) (let
(va_arg83:Vale.Def.Types_s.nat64) = nExtra8 in let (va_arg82:Vale.Def.Types_s.nat64) =
va_get_reg64 rR9 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 451 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_and_mod va_arg82 va_arg83) (va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 452 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Prims.pow2 (8 `op_Multiply` nExtra8) >= 0 /\ Prims.pow2 (8 `op_Multiply` nExtra8) <=
18446744073709551615) (fun _ -> let (va_arg81:Vale.Def.Types_s.nat64) = Prims.pow2 (8
`op_Multiply` nExtra8) in let (va_arg80:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let
(va_arg79:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 452 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mod_hi va_arg79 va_arg80 va_arg81) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 453 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 454 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 455 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ ->
va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 456 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) == inpLast
`op_Modulus` padLast) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 459 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 460 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 461 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 463 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 464 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 465 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QEmpty
(()))))))))))))))))))))))))) (fun (va_s:va_state) va_g -> let (h:int) = hBlocks + inpLast
`op_Modulus` padLast + padLast in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 469 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx
va_s) n + va_get_reg64 rR14 va_s) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 469 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper192_reveal ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 469 column 93 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (())))) (va_qAssertBy
va_range1
"***** PRECONDITION NOT MET AT line 470 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(r == va_mul_nat r1 n + va_get_reg64 rR11 va_s) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 470 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (()))) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 471 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration r1) (fun (va_s:va_state) (hLast:int) -> va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 472 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hLast == Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14
va_s) (va_get_reg64 rRbx va_s)) (va_get_reg64 rRbp va_s)) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 472 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper192_reveal ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 472 column 111 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (())))) (let
(va_arg71:Prims.int) = r in let (va_arg70:Prims.int) = inpLast `op_Modulus` padLast + padLast
in let (va_arg69:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 473 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg69 hBlocks va_arg70 va_arg71)
(va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 474 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp ((Vale.Poly1305.Spec_s.modp
hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply` r)) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 474 column 90 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_QEmpty (()))) (va_QEmpty (()))))))))))
val va_lemma_Poly1305_last_block : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Poly1305_last_block ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in
va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n
`op_Division` 16 /\ r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division`
4 /\ (1 <= va_get_reg64 rR15 va_s0 /\ va_get_reg64 rR15 va_s0 < 16))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in
va_get_reg64 rRbp va_sM < 5 /\ (let padLast = Prims.pow2 (va_get_reg64 rR15 va_sM `op_Multiply`
8) in let hLast = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM)) (va_get_reg64 rRbp va_sM) in
Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp ((Vale.Poly1305.Spec_s.modp
hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply` r))) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_last_block va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_last_block va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_last_block ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 380 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in label
va_range1
"***** POSTCONDITION NOT MET AT line 402 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let padLast = Prims.pow2 (va_get_reg64 rR15 va_sM `op_Multiply` 8) in label va_range1
"***** POSTCONDITION NOT MET AT line 404 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let hLast = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64
rR14 va_sM) (va_get_reg64 rRbx va_sM)) (va_get_reg64 rRbp va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 405 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp ((Vale.Poly1305.Spec_s.modp
hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply` r)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Poly1305_last_block (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in
va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n
`op_Division` 16 /\ r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division`
4 /\ (1 <= va_get_reg64 rR15 va_s0 /\ va_get_reg64 rR15 va_s0 < 16)) /\ (forall
(va_x_rax:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64) (va_x_efl:Vale.X64.Flags.t)
. let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax
va_s0))))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r1:nat64) = va_get_reg64 rRax va_s0 in let
(r:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in
let (hBlocks:Prims.int) = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let
(inpLast:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0)
(va_get_reg64 rR9 va_s0) in va_get_reg64 rRbp va_sM < 5 /\ (let padLast = Prims.pow2
(va_get_reg64 rR15 va_sM `op_Multiply` 8) in let hLast = Vale.Poly1305.Math.lowerUpper192
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM))
(va_get_reg64 rRbp va_sM) in Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp
((Vale.Poly1305.Spec_s.modp hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply`
r))) ==> va_k va_sM (())))
val va_wpProof_Poly1305_last_block : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_last_block va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_last_block ())
([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10;
va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_last_block va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Poly1305_last_block (va_code_Poly1305_last_block ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | _: Prims.unit
-> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.Poly1305.X64.va_code_Poly1305_last_block ()) | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.X64.QuickCode.va_QProc",
"Vale.Poly1305.X64.va_code_Poly1305_last_block",
"Prims.Cons",
"Vale.X64.QuickCode.mod_t",
"Vale.X64.QuickCode.va_Mod_flags",
"Vale.X64.QuickCode.va_Mod_reg64",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rR14",
"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.rRax",
"Prims.Nil",
"Vale.Poly1305.X64.va_wp_Poly1305_last_block",
"Vale.Poly1305.X64.va_wpProof_Poly1305_last_block",
"Vale.X64.QuickCode.va_quickCode"
] | [] | false | false | false | false | false | let va_quick_Poly1305_last_block () : (va_quickCode unit (va_code_Poly1305_last_block ())) =
| (va_QProc (va_code_Poly1305_last_block ())
([
va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10;
va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax
])
va_wp_Poly1305_last_block
va_wpProof_Poly1305_last_block) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_wpProof_Poly1305_blocks | val va_wpProof_Poly1305_blocks : r:int -> h_in:int -> ctx_b:buffer64 -> inp_b:buffer64 ->
va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks r h_in ctx_b inp_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks ())
([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi;
va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) | val va_wpProof_Poly1305_blocks : r:int -> h_in:int -> ctx_b:buffer64 -> inp_b:buffer64 ->
va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks r h_in ctx_b inp_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks ())
([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi;
va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) | let va_wpProof_Poly1305_blocks r h_in ctx_b inp_b va_s0 va_k =
let (va_sM, va_f0, h) = va_lemma_Poly1305_blocks (va_code_Poly1305_blocks ()) va_s0 r h_in ctx_b
inp_b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM (va_update_reg64
rR15 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRbp 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_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx 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_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_mem]) va_sM va_s0;
let va_g = (h) in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 1651,
"start_col": 0,
"start_line": 1636
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce)
//--
//-- Poly1305_iteration
val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_iteration () =
(va_Block (va_CCons (va_code_Poly1305_multiply ()) (va_CCons (va_code_Poly1305_reduce ())
(va_CNil ()))))
val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_iteration () =
(va_pbool_and (va_codegen_success_Poly1305_multiply ()) (va_pbool_and
(va_codegen_success_Poly1305_reduce ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_iteration (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_iteration ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in let (va_arg50:Prims.int) = n `op_Division` 16 in let
(va_arg49:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg48:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg48 7 va_arg49 va_arg50)
(let (va_arg47:Prims.int) = n `op_Division` 16 in let (va_arg46:Prims.int) = r1 in let
(va_arg45:Prims.int) = n in let (va_arg44:Prims.int) = va_get_reg64 rR14 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 211 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg44 va_arg45 va_arg46
va_arg47) (let (va_arg43:Prims.int) = n `op_Division` 16 in let (va_arg42:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg41:Prims.int) = n in let (va_arg40:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg40 va_arg41 va_arg42
va_arg43) (let (va_arg39:Prims.int) = n `op_Division` 8 in let (va_arg38:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg37:Prims.int) = n in let (va_arg36:Prims.int) =
va_get_reg64 rRbp va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg36 va_arg37 va_arg38
va_arg39) (let (va_arg35:Prims.int) = n `op_Division` 16 in let (va_arg34:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg33:Prims.int) = n in let (va_arg32:Prims.int) =
va_get_reg64 rR14 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg32 va_arg33 va_arg34
va_arg35) (let (va_arg31:Prims.int) = n `op_Division` 8 in let (va_arg30:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg29:Prims.int) = n in let (va_arg28:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg28 va_arg29 va_arg30
va_arg31) (let (va_arg27:Prims.int) = 5 `op_Multiply` n `op_Division` 64 in let
(va_arg26:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg25:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg25 7 va_arg26 va_arg27)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 218 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_multiply r1) (fun (va_s:va_state) (hd:int) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_reduce ()) (fun (va_s:va_state) (hh:int) -> va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 220 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 221 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(l_and (hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_s) + va_mul_nat n (va_get_reg64
rRbx va_s) + va_get_reg64 rR14 va_s) (va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p))
(va_QEmpty ((hh)))))))))))))))
val va_lemma_Poly1305_iteration : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_iteration ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp (va_mul_nat h r) ==
Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_iteration va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_iteration va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_iteration ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 180 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 201 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp (va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_iteration (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1) /\ (forall (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp
(va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_iteration : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_iteration r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_iteration ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_iteration r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_iteration (va_code_Poly1305_iteration ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_iteration (r1:nat64) : (va_quickCode int (va_code_Poly1305_iteration ())) =
(va_QProc (va_code_Poly1305_iteration ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRax]) (va_wp_Poly1305_iteration r1) (va_wpProof_Poly1305_iteration r1))
//--
//-- Poly1305_blocks_body0
val va_code_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_body0 () =
(va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Public))
(va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_CCons
(va_code_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (va_CCons
(va_code_Poly1305_iteration ()) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64
1)) (va_CNil ())))))))))))
val va_codegen_success_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_body0 () =
(va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0)
(va_op_reg64_reg64 rRsi) 0 Public)) (va_pbool_and (va_codegen_success_Mem64_lemma ())
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64
(va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_pbool_and
(va_codegen_success_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi)
(va_const_opr64 16)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Poly1305_iteration ())
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1))
(va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_body0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in let (nn:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (hp:int) = h in let (h:int) = h +
va_mul_nat (va_mul_nat nn nn) (va_get_reg64 rRcx va_s) + va_mul_nat nn
(Vale.X64.Decls.buffer64_read inp_b (word_index + 1) (va_get_mem_heaplet 0 va_s)) +
Vale.X64.Decls.buffer64_read inp_b word_index (va_get_mem_heaplet 0 va_s) in let (hq:int) = h
in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inp_b word_index
Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 0 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inp_b
(word_index + 1) Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 355 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 356 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state)
_ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 358 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hq == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat nn nn) + va_mul_nat (va_get_reg64 rRbx
va_s) nn + va_get_reg64 rR14 va_s) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 360 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration (va_get_reg64 rR12 va_s)) (fun (va_s:va_state) (h:int) -> va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 362 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 363 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1)) (fun (va_s:va_state) _ -> let
(word_index:nat) = word_index + 2 in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 366 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index) (let
(va_arg50:Prims.int) = word_index in let (va_arg49:(FStar.Seq.Base.seq Vale.X64.Memory.nat64))
= Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b in let (va_arg48:Prims.int)
= r in let (va_arg47:Prims.int) = va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let
(va_arg46:Prims.int) = Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 368 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg46 va_arg47 va_arg48
va_arg49 va_arg50) (let (va_arg45:Prims.int) = word_index - 2 in let
(va_arg44:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg43:Prims.int) = r in let (va_arg42:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let (va_arg41:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 369 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg41 va_arg42 va_arg43
va_arg44 va_arg45) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 370 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:Prims.int) = r in let (va_arg39:Prims.int) = hq - hp in let (va_arg38:Prims.int) = hp
in let (va_arg37:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg37 va_arg38 va_arg39 va_arg40)
(va_QEmpty (())))))) (va_QEmpty ((h, word_index)))))))))))))))
val va_lemma_Poly1305_blocks_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old /\ va_get_reg64 rR15 va_s0 =!= 0))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15
va_s0) /\ va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_body0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_body0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_body0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 345 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
va_get_reg64 rR15 va_s0 =!= 0 /\ (forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_rax:nat64) (va_x_rbp:nat64) (va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int)
(word_index:nat) . let va_sM = va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64
rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10 (va_upd_ok va_x_ok (va_upd_flags va_x_efl
va_s0))))))))))) in va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n ==
va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\
va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h ==
va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64
rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12
va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64
rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM ==
va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM
== va_get_reg64 rRsi va_old + va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64
/\ va_in_length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8
`op_Multiply` (word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8
`op_Multiply` word_index == va_in_length /\ va_get_reg64 rRsi va_sM + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) +
8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_sM < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM)
(va_get_reg64 rRdi va_sM) va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old /\
precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_body0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int ->
va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_body0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_body0 (va_code_Poly1305_blocks_body0
()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r
va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_body0 ())) =
(va_QProc (va_code_Poly1305_blocks_body0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64
rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks_while0
val va_code_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_while0 () =
(va_Block (va_CCons (va_While (va_cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (va_Block
(va_CCons (va_code_Poly1305_blocks_body0 ()) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_while0 () =
(va_pbool_and (va_codegen_success_Poly1305_blocks_body0 ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_while0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_qWhile va_mods (Cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (fun va_g -> let (h:int) =
let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g in
word_index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_body0 va_old ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QEmpty ((h, word_index))))) (fun
(va_s:va_state) va_g -> let (h:int) = let (h, word_index) = va_g in h in let (word_index:nat) =
let (h, word_index) = va_g in word_index in va_get_ok va_s /\ n == pow2_64 /\ va_mul_nat n n ==
va_mul_nat pow2_64 pow2_64 /\ p == va_mul_nat n n `op_Multiply` 4 - 5 /\ r == va_mul_nat
(va_get_reg64 rR12 va_s) n + va_get_reg64 rR11 va_s /\ h == va_mul_nat (va_get_reg64 rRbp va_s)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s) pow2_64 + va_get_reg64 rR14
va_s /\ va_get_reg64 rR11 va_s < n `op_Division` 16 /\ va_get_reg64 rR12 va_s < n `op_Division`
16 /\ va_get_reg64 rR12 va_s `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s == va_get_reg64 rR12
va_s + va_get_reg64 rR12 va_s `op_Division` 4 /\ va_get_reg64 rRbp va_s < 5 /\ va_get_reg64
rRax va_s == va_get_reg64 rR12 va_s /\ va_get_reg64 rRsi va_s + 16 `op_Multiply` va_get_reg64
rR15 va_s == va_get_reg64 rRsi va_old + length /\ va_get_reg64 rRsi va_old + length < pow2_64
/\ length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s =!= 0 ==> 8 `op_Multiply`
(word_index + 1) <= length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s + 8 `op_Multiply`
word_index == length /\ va_get_reg64 rRsi va_s + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 inp_b (va_get_mem_heaplet 0 va_s) + 8 `op_Multiply` word_index /\
va_get_reg64 rR15 va_s `op_Multiply` 16 <= length /\ va_get_reg64 rRcx va_s < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s) (va_get_reg64 rRdi va_s) ctx_b 24
(va_get_mem_layout va_s) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s)
(va_get_reg64 rRsi va_old) inp_b (length `op_Division` 8) (va_get_mem_layout va_s) Public /\
va_get_reg64 rRdi va_s == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s == va_get_reg64
rRcx va_old /\ (va_get_reg64 rRsi va_s - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index /\
va_get_mem_heaplet 1 va_s == va_get_mem_heaplet 1 va_old) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in va_get_reg64 rR15 va_s) ((h, word_index))) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in let va_g = (h, word_index) in let ((h:int), (word_index:nat)) = va_g in
va_QEmpty ((h, word_index)))))
val va_lemma_Poly1305_blocks_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_while0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) /\ va_state_eq va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_while0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_while0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_while0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(~(va_get_reg64 rR15 va_sM =!= 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
(forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r14:nat64)
(va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_rax:nat64) (va_x_rbp:nat64)
(va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int) (word_index:nat) . let va_sM =
va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_ok va_x_ok (va_upd_flags va_x_efl va_s0))))))))))) in va_get_ok va_sM /\ va_in_n ==
pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat
va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n
+ va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64
pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\
va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM ==
va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM <
5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16
`op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ 16
`op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length /\
va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b
(va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM
`op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_while0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int
-> va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_while0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length
va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_while0
(va_code_Poly1305_blocks_while0 ()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_while0 ())) =
(va_QProc (va_code_Poly1305_blocks_while0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx;
va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks
val va_code_Poly1305_blocks : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks () =
(va_Block (va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi) 24 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRdi) 32
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rR14) (va_op_reg_opr64_reg64 rRdi) 0 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRdi) 8
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rRbp) (va_op_reg_opr64_reg64 rRdi) 16 Public) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rR12) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rR13)
(va_const_shift_amt64 2)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rR13)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Poly1305_blocks_while0 ()) (va_CCons
(va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR14) 0 Public) (va_CCons (va_code_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRbx) 8
Public) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64
rRdi) (va_op_reg_opr64_reg64 rRbp) 16 Public) (va_CNil ())))))))))))))))))
val va_codegen_success_Poly1305_blocks : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks () =
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx))
(va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdi) 24 Public) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13)
(va_op_reg_opr64_reg64 rRdi) 32 Public) (va_pbool_and (va_codegen_success_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR14) (va_op_reg_opr64_reg64 rRdi) 0
Public) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRdi) 8 Public) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbp)
(va_op_reg_opr64_reg64 rRdi) 16 Public) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Shr64
(va_op_dst_opr64_reg64 rR13) (va_const_shift_amt64 2)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_pbool_and (va_codegen_success_Add64
(va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rR12)) (va_pbool_and
(va_codegen_success_Poly1305_blocks_while0 ()) (va_pbool_and (va_codegen_success_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR14) 0
Public) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRbx) 8 Public) (va_pbool_and
(va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbp) 16 Public) (va_ttrue ()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks (va_mods:va_mods_t) (r:int) (h_in:int) (ctx_b:buffer64)
(inp_b:buffer64) : (va_quickCode (int) (va_code_Poly1305_blocks ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 285 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (let (length:int) = va_get_reg64 rRdx
va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 289 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 292 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 294 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi) 24 Public ctx_b 3) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 295 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13)
(va_op_reg_opr64_reg64 rRdi) 32 Public ctx_b 4) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 297 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR14)
(va_op_reg_opr64_reg64 rRdi) 0 Public ctx_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 298 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbx)
(va_op_reg_opr64_reg64 rRdi) 8 Public ctx_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 299 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbp)
(va_op_reg_opr64_reg64 rRdi) 16 Public ctx_b 2) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 301 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR13) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 303 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 304 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rR12)) (fun (va_s:va_state) _
-> let (h:int) = h_in in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 307 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) 0) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 309 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg39:Prims.int) = r in let (va_arg38:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n) in let (va_arg37:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 310 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg37 va_arg38 va_arg39
va_arg40 0) (va_QEmpty (())))) (let (word_index:nat) = 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 315 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_while0 va_old_s ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 374 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR14) 0 Public ctx_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 375 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbx) 8 Public ctx_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 376 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbp) 16 Public ctx_b 2) (va_QEmpty ((h)))))))))))))))))))))
val va_lemma_Poly1305_blocks : va_b0:va_code -> va_s0:va_state -> r:int -> h_in:int ->
ctx_b:buffer64 -> inp_b:buffer64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64 rRdx va_s0 `op_Modulus` 16 == 0 /\
va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 < pow2_64 /\ Vale.X64.Decls.validDstAddrs64
(va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) ctx_b 24 (va_get_mem_layout va_s0)
Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0)
inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout va_s0) Public /\ (let h0_in
= Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_s0) in let h1_in =
Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_s0) in let h2_in =
Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_s0) in let r0_in =
Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_s0) in let r1_in =
Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_s0) in h_in == va_mul_nat h2_in
(va_mul_nat n n) + va_mul_nat h1_in n + h0_in /\ r == va_mul_nat r1_in n + r0_in /\ r0_in < n
`op_Division` 16 /\ r1_in < n `op_Division` 16 /\ r1_in `op_Modulus` 4 == 0 /\ h2_in < 5 /\
va_get_reg64 rRcx va_s0 < 2))))
(ensures (fun (va_sM, va_fM, h) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64
rRbp va_sM < 5 /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64
rRdi va_sM) ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0
`op_Division` 8) (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.modifies_buffer_specific
ctx_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM) 0 2 /\ va_get_reg64 rR14 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbx va_sM
== Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbp va_sM
== Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR11 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR12 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR13 va_sM
== va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRsi va_sM
== va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRcx va_sM == va_get_reg64
rRcx va_s0 /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 /\ (let r0_in =
Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) in let r1_in =
Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) in h == va_mul_nat
(va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM)
pow2_64 + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0 `op_Division` 8))) /\ va_state_eq
va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rRax va_sM (va_update_reg64 rRbp 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_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx 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_Poly1305_blocks va_b0 va_s0 r h_in ctx_b inp_b =
let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64
rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rRdx; va_Mod_reg64 rRsi; va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_Poly1305_blocks va_mods r h_in ctx_b inp_b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let h = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in label
va_range1
"***** POSTCONDITION NOT MET AT line 264 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 265 column 66 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) ctx_b 24
(va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 266 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_s0) inp_b
(va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 267 column 65 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific ctx_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet
1 va_sM) 0 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 268 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR14 va_sM == Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 269 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 270 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM == Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 271 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 272 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM == Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 273 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 274 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 277 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 278 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 280 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) in label
va_range1
"***** POSTCONDITION NOT MET AT line 281 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) in label
va_range1
"***** POSTCONDITION NOT MET AT line 282 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 283 column 118 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0
`op_Division` 8)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_ok; va_Mod_mem]) va_sM va_s0;
let h = va_g in
(va_sM, va_fM, h)
[@ va_qattr]
let va_wp_Poly1305_blocks (r:int) (h_in:int) (ctx_b:buffer64) (inp_b:buffer64) (va_s0:va_state)
(va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64
rRdx va_s0 `op_Modulus` 16 == 0 /\ va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 < pow2_64
/\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) ctx_b
24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0
va_s0) (va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8)
(va_get_mem_layout va_s0) Public /\ (let h0_in = Vale.X64.Decls.buffer64_read ctx_b 0
(va_get_mem_heaplet 1 va_s0) in let h1_in = Vale.X64.Decls.buffer64_read ctx_b 1
(va_get_mem_heaplet 1 va_s0) in let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2
(va_get_mem_heaplet 1 va_s0) in let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3
(va_get_mem_heaplet 1 va_s0) in let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4
(va_get_mem_heaplet 1 va_s0) in h_in == va_mul_nat h2_in (va_mul_nat n n) + va_mul_nat h1_in n
+ h0_in /\ r == va_mul_nat r1_in n + r0_in /\ r0_in < n `op_Division` 16 /\ r1_in < n
`op_Division` 16 /\ r1_in `op_Modulus` 4 == 0 /\ h2_in < 5 /\ va_get_reg64 rRcx va_s0 < 2)) /\
(forall (va_x_mem:vale_heap) (va_x_rsi:nat64) (va_x_rdx:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_r10:nat64) (va_x_r11:nat64) (va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64)
(va_x_rbx:nat64) (va_x_rbp:nat64) (va_x_rax:nat64) (va_x_r15:nat64) (va_x_efl:Vale.X64.Flags.t)
(va_x_heap1:vale_heap) (h:int) . let va_sM = va_upd_mem_heaplet 1 va_x_heap1 (va_upd_flags
va_x_efl (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRbp va_x_rbp
(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_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRsi va_x_rsi (va_upd_mem va_x_mem va_s0))))))))))))))) in va_get_ok va_sM /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64 rRbp va_sM < 5 /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) ctx_b 24
(va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM)
(va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout
va_sM) Public /\ Vale.X64.Decls.modifies_buffer_specific ctx_b (va_get_mem_heaplet 1 va_s0)
(va_get_mem_heaplet 1 va_sM) 0 2 /\ va_get_reg64 rR14 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 0 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbx va_sM == Vale.X64.Decls.buffer64_read
ctx_b 1 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbp va_sM == Vale.X64.Decls.buffer64_read
ctx_b 2 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 3 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR12 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 4 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM +
va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 +
va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0 /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_s0 /\ (let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3
(va_get_mem_heaplet 1 va_sM) in let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4
(va_get_mem_heaplet 1 va_sM) in h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64
pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0
`op_Division` 8))) ==> va_k va_sM ((h))))
val va_wpProof_Poly1305_blocks : r:int -> h_in:int -> ctx_b:buffer64 -> inp_b:buffer64 ->
va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks r h_in ctx_b inp_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks ())
([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi;
va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
r: Prims.int ->
h_in: Prims.int ->
ctx_b: Vale.X64.Memory.buffer64 ->
inp_b: Vale.X64.Memory.buffer64 ->
va_s0: Vale.X64.Decls.va_state ->
va_k: (_: Vale.X64.Decls.va_state -> _: Prims.int -> Type0)
-> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.int) | Prims.Ghost | [] | [] | [
"Prims.int",
"Vale.X64.Memory.buffer64",
"Vale.X64.Decls.va_state",
"Vale.X64.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Prims.unit",
"Vale.X64.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.X64.QuickCode.mod_t",
"Vale.X64.QuickCode.va_Mod_mem_heaplet",
"Vale.X64.QuickCode.va_Mod_flags",
"Vale.X64.QuickCode.va_Mod_reg64",
"Vale.X64.Machine_s.rR15",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Machine_s.rR13",
"Vale.X64.Machine_s.rR12",
"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.rRsi",
"Vale.X64.QuickCode.va_Mod_mem",
"Prims.Nil",
"Prims._assert",
"Vale.X64.Decls.va_state_eq",
"Vale.X64.Decls.va_update_mem_heaplet",
"Vale.X64.Decls.va_update_flags",
"Vale.X64.Decls.va_update_reg64",
"Vale.X64.Decls.va_update_ok",
"Vale.X64.Decls.va_update_mem",
"Vale.X64.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"Vale.X64.State.vale_state",
"Vale.Poly1305.X64.va_lemma_Poly1305_blocks",
"Vale.Poly1305.X64.va_code_Poly1305_blocks"
] | [] | false | false | false | false | false | let va_wpProof_Poly1305_blocks r h_in ctx_b inp_b va_s0 va_k =
| let va_sM, va_f0, h =
va_lemma_Poly1305_blocks (va_code_Poly1305_blocks ()) va_s0 r h_in ctx_b inp_b
in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM
(va_update_mem_heaplet 1
va_sM
(va_update_flags va_sM
(va_update_reg64 rR15
va_sM
(va_update_reg64 rRax
va_sM
(va_update_reg64 rRbp
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_reg64 rR10
va_sM
(va_update_reg64 rR9
va_sM
(va_update_reg64 rR8
va_sM
(va_update_reg64 rRdx
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_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi;
va_Mod_mem
])
va_sM
va_s0;
let va_g = (h) in
(va_sM, va_f0, va_g) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_qcode_Poly1305_blocks | val va_qcode_Poly1305_blocks (va_mods: va_mods_t) (r h_in: int) (ctx_b inp_b: buffer64)
: (va_quickCode (int) (va_code_Poly1305_blocks ())) | val va_qcode_Poly1305_blocks (va_mods: va_mods_t) (r h_in: int) (ctx_b inp_b: buffer64)
: (va_quickCode (int) (va_code_Poly1305_blocks ())) | let va_qcode_Poly1305_blocks (va_mods:va_mods_t) (r:int) (h_in:int) (ctx_b:buffer64)
(inp_b:buffer64) : (va_quickCode (int) (va_code_Poly1305_blocks ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 285 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (let (length:int) = va_get_reg64 rRdx
va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 289 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 292 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 294 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi) 24 Public ctx_b 3) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 295 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13)
(va_op_reg_opr64_reg64 rRdi) 32 Public ctx_b 4) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 297 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR14)
(va_op_reg_opr64_reg64 rRdi) 0 Public ctx_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 298 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbx)
(va_op_reg_opr64_reg64 rRdi) 8 Public ctx_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 299 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbp)
(va_op_reg_opr64_reg64 rRdi) 16 Public ctx_b 2) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 301 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR13) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 303 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 304 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rR12)) (fun (va_s:va_state) _
-> let (h:int) = h_in in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 307 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) 0) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 309 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg39:Prims.int) = r in let (va_arg38:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n) in let (va_arg37:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 310 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg37 va_arg38 va_arg39
va_arg40 0) (va_QEmpty (())))) (let (word_index:nat) = 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 315 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_while0 va_old_s ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 374 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR14) 0 Public ctx_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 375 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbx) 8 Public ctx_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 376 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbp) 16 Public ctx_b 2) (va_QEmpty ((h))))))))))))))))))))) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 87,
"end_line": 1450,
"start_col": 0,
"start_line": 1389
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce)
//--
//-- Poly1305_iteration
val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_iteration () =
(va_Block (va_CCons (va_code_Poly1305_multiply ()) (va_CCons (va_code_Poly1305_reduce ())
(va_CNil ()))))
val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_iteration () =
(va_pbool_and (va_codegen_success_Poly1305_multiply ()) (va_pbool_and
(va_codegen_success_Poly1305_reduce ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_iteration (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_iteration ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in let (va_arg50:Prims.int) = n `op_Division` 16 in let
(va_arg49:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg48:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg48 7 va_arg49 va_arg50)
(let (va_arg47:Prims.int) = n `op_Division` 16 in let (va_arg46:Prims.int) = r1 in let
(va_arg45:Prims.int) = n in let (va_arg44:Prims.int) = va_get_reg64 rR14 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 211 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg44 va_arg45 va_arg46
va_arg47) (let (va_arg43:Prims.int) = n `op_Division` 16 in let (va_arg42:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg41:Prims.int) = n in let (va_arg40:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg40 va_arg41 va_arg42
va_arg43) (let (va_arg39:Prims.int) = n `op_Division` 8 in let (va_arg38:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg37:Prims.int) = n in let (va_arg36:Prims.int) =
va_get_reg64 rRbp va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg36 va_arg37 va_arg38
va_arg39) (let (va_arg35:Prims.int) = n `op_Division` 16 in let (va_arg34:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg33:Prims.int) = n in let (va_arg32:Prims.int) =
va_get_reg64 rR14 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg32 va_arg33 va_arg34
va_arg35) (let (va_arg31:Prims.int) = n `op_Division` 8 in let (va_arg30:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg29:Prims.int) = n in let (va_arg28:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg28 va_arg29 va_arg30
va_arg31) (let (va_arg27:Prims.int) = 5 `op_Multiply` n `op_Division` 64 in let
(va_arg26:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg25:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg25 7 va_arg26 va_arg27)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 218 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_multiply r1) (fun (va_s:va_state) (hd:int) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_reduce ()) (fun (va_s:va_state) (hh:int) -> va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 220 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 221 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(l_and (hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_s) + va_mul_nat n (va_get_reg64
rRbx va_s) + va_get_reg64 rR14 va_s) (va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p))
(va_QEmpty ((hh)))))))))))))))
val va_lemma_Poly1305_iteration : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_iteration ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp (va_mul_nat h r) ==
Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_iteration va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_iteration va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_iteration ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 180 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 201 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp (va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_iteration (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1) /\ (forall (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp
(va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_iteration : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_iteration r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_iteration ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_iteration r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_iteration (va_code_Poly1305_iteration ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_iteration (r1:nat64) : (va_quickCode int (va_code_Poly1305_iteration ())) =
(va_QProc (va_code_Poly1305_iteration ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRax]) (va_wp_Poly1305_iteration r1) (va_wpProof_Poly1305_iteration r1))
//--
//-- Poly1305_blocks_body0
val va_code_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_body0 () =
(va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Public))
(va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_CCons
(va_code_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (va_CCons
(va_code_Poly1305_iteration ()) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64
1)) (va_CNil ())))))))))))
val va_codegen_success_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_body0 () =
(va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0)
(va_op_reg64_reg64 rRsi) 0 Public)) (va_pbool_and (va_codegen_success_Mem64_lemma ())
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64
(va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_pbool_and
(va_codegen_success_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi)
(va_const_opr64 16)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Poly1305_iteration ())
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1))
(va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_body0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in let (nn:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (hp:int) = h in let (h:int) = h +
va_mul_nat (va_mul_nat nn nn) (va_get_reg64 rRcx va_s) + va_mul_nat nn
(Vale.X64.Decls.buffer64_read inp_b (word_index + 1) (va_get_mem_heaplet 0 va_s)) +
Vale.X64.Decls.buffer64_read inp_b word_index (va_get_mem_heaplet 0 va_s) in let (hq:int) = h
in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inp_b word_index
Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 0 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inp_b
(word_index + 1) Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 355 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 356 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state)
_ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 358 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hq == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat nn nn) + va_mul_nat (va_get_reg64 rRbx
va_s) nn + va_get_reg64 rR14 va_s) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 360 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration (va_get_reg64 rR12 va_s)) (fun (va_s:va_state) (h:int) -> va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 362 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 363 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1)) (fun (va_s:va_state) _ -> let
(word_index:nat) = word_index + 2 in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 366 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index) (let
(va_arg50:Prims.int) = word_index in let (va_arg49:(FStar.Seq.Base.seq Vale.X64.Memory.nat64))
= Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b in let (va_arg48:Prims.int)
= r in let (va_arg47:Prims.int) = va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let
(va_arg46:Prims.int) = Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 368 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg46 va_arg47 va_arg48
va_arg49 va_arg50) (let (va_arg45:Prims.int) = word_index - 2 in let
(va_arg44:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg43:Prims.int) = r in let (va_arg42:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let (va_arg41:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 369 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg41 va_arg42 va_arg43
va_arg44 va_arg45) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 370 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:Prims.int) = r in let (va_arg39:Prims.int) = hq - hp in let (va_arg38:Prims.int) = hp
in let (va_arg37:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg37 va_arg38 va_arg39 va_arg40)
(va_QEmpty (())))))) (va_QEmpty ((h, word_index)))))))))))))))
val va_lemma_Poly1305_blocks_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old /\ va_get_reg64 rR15 va_s0 =!= 0))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15
va_s0) /\ va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_body0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_body0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_body0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 345 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
va_get_reg64 rR15 va_s0 =!= 0 /\ (forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_rax:nat64) (va_x_rbp:nat64) (va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int)
(word_index:nat) . let va_sM = va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64
rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10 (va_upd_ok va_x_ok (va_upd_flags va_x_efl
va_s0))))))))))) in va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n ==
va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\
va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h ==
va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64
rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12
va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64
rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM ==
va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM
== va_get_reg64 rRsi va_old + va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64
/\ va_in_length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8
`op_Multiply` (word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8
`op_Multiply` word_index == va_in_length /\ va_get_reg64 rRsi va_sM + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) +
8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_sM < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM)
(va_get_reg64 rRdi va_sM) va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old /\
precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_body0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int ->
va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_body0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_body0 (va_code_Poly1305_blocks_body0
()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r
va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_body0 ())) =
(va_QProc (va_code_Poly1305_blocks_body0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64
rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks_while0
val va_code_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_while0 () =
(va_Block (va_CCons (va_While (va_cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (va_Block
(va_CCons (va_code_Poly1305_blocks_body0 ()) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_while0 () =
(va_pbool_and (va_codegen_success_Poly1305_blocks_body0 ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_while0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_qWhile va_mods (Cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (fun va_g -> let (h:int) =
let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g in
word_index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_body0 va_old ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QEmpty ((h, word_index))))) (fun
(va_s:va_state) va_g -> let (h:int) = let (h, word_index) = va_g in h in let (word_index:nat) =
let (h, word_index) = va_g in word_index in va_get_ok va_s /\ n == pow2_64 /\ va_mul_nat n n ==
va_mul_nat pow2_64 pow2_64 /\ p == va_mul_nat n n `op_Multiply` 4 - 5 /\ r == va_mul_nat
(va_get_reg64 rR12 va_s) n + va_get_reg64 rR11 va_s /\ h == va_mul_nat (va_get_reg64 rRbp va_s)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s) pow2_64 + va_get_reg64 rR14
va_s /\ va_get_reg64 rR11 va_s < n `op_Division` 16 /\ va_get_reg64 rR12 va_s < n `op_Division`
16 /\ va_get_reg64 rR12 va_s `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s == va_get_reg64 rR12
va_s + va_get_reg64 rR12 va_s `op_Division` 4 /\ va_get_reg64 rRbp va_s < 5 /\ va_get_reg64
rRax va_s == va_get_reg64 rR12 va_s /\ va_get_reg64 rRsi va_s + 16 `op_Multiply` va_get_reg64
rR15 va_s == va_get_reg64 rRsi va_old + length /\ va_get_reg64 rRsi va_old + length < pow2_64
/\ length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s =!= 0 ==> 8 `op_Multiply`
(word_index + 1) <= length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s + 8 `op_Multiply`
word_index == length /\ va_get_reg64 rRsi va_s + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 inp_b (va_get_mem_heaplet 0 va_s) + 8 `op_Multiply` word_index /\
va_get_reg64 rR15 va_s `op_Multiply` 16 <= length /\ va_get_reg64 rRcx va_s < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s) (va_get_reg64 rRdi va_s) ctx_b 24
(va_get_mem_layout va_s) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s)
(va_get_reg64 rRsi va_old) inp_b (length `op_Division` 8) (va_get_mem_layout va_s) Public /\
va_get_reg64 rRdi va_s == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s == va_get_reg64
rRcx va_old /\ (va_get_reg64 rRsi va_s - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index /\
va_get_mem_heaplet 1 va_s == va_get_mem_heaplet 1 va_old) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in va_get_reg64 rR15 va_s) ((h, word_index))) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in let va_g = (h, word_index) in let ((h:int), (word_index:nat)) = va_g in
va_QEmpty ((h, word_index)))))
val va_lemma_Poly1305_blocks_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_while0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) /\ va_state_eq va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_while0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_while0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_while0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(~(va_get_reg64 rR15 va_sM =!= 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
(forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r14:nat64)
(va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_rax:nat64) (va_x_rbp:nat64)
(va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int) (word_index:nat) . let va_sM =
va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_ok va_x_ok (va_upd_flags va_x_efl va_s0))))))))))) in va_get_ok va_sM /\ va_in_n ==
pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat
va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n
+ va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64
pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\
va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM ==
va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM <
5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16
`op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ 16
`op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length /\
va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b
(va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM
`op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_while0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int
-> va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_while0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length
va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_while0
(va_code_Poly1305_blocks_while0 ()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_while0 ())) =
(va_QProc (va_code_Poly1305_blocks_while0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx;
va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks
val va_code_Poly1305_blocks : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks () =
(va_Block (va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi) 24 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRdi) 32
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rR14) (va_op_reg_opr64_reg64 rRdi) 0 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRdi) 8
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rRbp) (va_op_reg_opr64_reg64 rRdi) 16 Public) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rR12) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rR13)
(va_const_shift_amt64 2)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rR13)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Poly1305_blocks_while0 ()) (va_CCons
(va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR14) 0 Public) (va_CCons (va_code_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRbx) 8
Public) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64
rRdi) (va_op_reg_opr64_reg64 rRbp) 16 Public) (va_CNil ())))))))))))))))))
val va_codegen_success_Poly1305_blocks : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks () =
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx))
(va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdi) 24 Public) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13)
(va_op_reg_opr64_reg64 rRdi) 32 Public) (va_pbool_and (va_codegen_success_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR14) (va_op_reg_opr64_reg64 rRdi) 0
Public) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRdi) 8 Public) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbp)
(va_op_reg_opr64_reg64 rRdi) 16 Public) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Shr64
(va_op_dst_opr64_reg64 rR13) (va_const_shift_amt64 2)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_pbool_and (va_codegen_success_Add64
(va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rR12)) (va_pbool_and
(va_codegen_success_Poly1305_blocks_while0 ()) (va_pbool_and (va_codegen_success_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR14) 0
Public) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRbx) 8 Public) (va_pbool_and
(va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbp) 16 Public) (va_ttrue ())))))))))))))))) | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_mods: Vale.X64.QuickCode.va_mods_t ->
r: Prims.int ->
h_in: Prims.int ->
ctx_b: Vale.X64.Memory.buffer64 ->
inp_b: Vale.X64.Memory.buffer64
-> Vale.X64.QuickCode.va_quickCode Prims.int (Vale.Poly1305.X64.va_code_Poly1305_blocks ()) | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.QuickCode.va_mods_t",
"Prims.int",
"Vale.X64.Memory.buffer64",
"Vale.X64.QuickCodes.qblock",
"Prims.Cons",
"Vale.X64.Decls.va_code",
"Vale.X64.InsBasic.va_code_Shr64",
"Vale.X64.Decls.va_op_dst_opr64_reg64",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Decls.va_const_shift_amt64",
"Vale.X64.InsBasic.va_code_Mov64",
"Vale.X64.Machine_s.rR15",
"Vale.X64.Decls.va_op_opr64_reg64",
"Vale.X64.InsMem.va_code_Load64_buffer",
"Vale.X64.Decls.va_op_heaplet_mem_heaplet",
"Vale.X64.Machine_s.rR11",
"Vale.X64.Decls.va_op_reg_opr64_reg64",
"Vale.X64.Machine_s.rRdi",
"Vale.Arch.HeapTypes_s.Public",
"Vale.X64.Machine_s.rR13",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.Machine_s.rR12",
"Vale.X64.Machine_s.rRax",
"Vale.X64.InsBasic.va_code_Add64",
"Vale.Poly1305.X64.va_code_Poly1305_blocks_while0",
"Vale.X64.InsMem.va_code_Store64_buffer",
"Prims.Nil",
"Vale.X64.Machine_s.precode",
"Vale.X64.Decls.ins",
"Vale.X64.Decls.ocmp",
"Vale.X64.Decls.va_state",
"Vale.X64.QuickCodes.va_qPURE",
"Prims.pure_post",
"Prims.unit",
"Prims.l_and",
"Prims.l_True",
"Prims.l_Forall",
"Prims.l_imp",
"Vale.Def.Words_s.nat64",
"Prims.eq2",
"Vale.Def.Types_s.ishr",
"Prims.op_Division",
"Vale.Def.Types_s.iand",
"Prims.op_Modulus",
"Prims.op_Multiply",
"Prims.b2t",
"Prims.op_LessThan",
"Vale.X64.QuickCodes.va_range1",
"Vale.Poly1305.Math.lemma_poly_bits64",
"Vale.X64.QuickCodes.va_QSeq",
"Vale.X64.InsBasic.va_quick_Shr64",
"Vale.X64.InsBasic.va_quick_Mov64",
"Vale.X64.InsMem.va_quick_Load64_buffer",
"Vale.X64.QuickCodes.va_QBind",
"Vale.X64.InsBasic.va_quick_Add64",
"Vale.X64.QuickCodes.va_qAssertBy",
"Vale.Poly1305.Spec_s.modp",
"Vale.Poly1305.Util.poly1305_heap_blocks",
"Vale.X64.Decls.va_mul_nat",
"Vale.X64.Decls.va_get_reg64",
"Vale.X64.Machine_s.rRcx",
"Vale.X64.Decls.buffer64_as_seq",
"Vale.X64.Decls.va_get_mem_heaplet",
"Vale.X64.QuickCodes.va_QLemma",
"Prims.squash",
"Vale.X64.Decls.va_reveal_eq",
"Vale.X64.Decls.va_reveal_opaque",
"Prims.op_LessThanOrEqual",
"FStar.Seq.Base.length",
"Prims.op_Equality",
"Vale.Poly1305.Util.poly1305_heap_blocks'",
"Vale.Poly1305.Util.reveal_poly1305_heap_blocks",
"Vale.X64.QuickCodes.va_QEmpty",
"FStar.Seq.Base.seq",
"FStar.Pervasives.Native.tuple2",
"Prims.nat",
"Vale.Poly1305.X64.va_quick_Poly1305_blocks_while0",
"Vale.X64.InsMem.va_quick_Store64_buffer",
"Vale.X64.QuickCodes.quickCodes",
"Vale.X64.Decls.va_int_range",
"Prims.op_Subtraction",
"Vale.X64.Machine_s.pow2_64",
"Vale.X64.State.vale_state",
"Vale.X64.QuickCode.va_quickCode",
"Vale.Poly1305.X64.va_code_Poly1305_blocks"
] | [] | false | false | false | false | false | let va_qcode_Poly1305_blocks (va_mods: va_mods_t) (r h_in: int) (ctx_b inp_b: buffer64)
: (va_quickCode (int) (va_code_Poly1305_blocks ())) =
| (qblock va_mods
(fun (va_s: va_state) ->
let va_old_s:va_state = va_s in
let n:(va_int_range 18446744073709551616 18446744073709551616) = pow2_64 in
let p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) =
(va_mul_nat n n) `op_Multiply` 4 - 5
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 285 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_: unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ())
(let length:int = va_get_reg64 rRdx va_s in
va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 289 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 292 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 294 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi)
24
Public
ctx_b
3)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 295 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rR13)
(va_op_reg_opr64_reg64 rRdi)
32
Public
ctx_b
4)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 297 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rR14)
(va_op_reg_opr64_reg64 rRdi)
0
Public
ctx_b
0)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 298 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rRbx)
(va_op_reg_opr64_reg64 rRdi)
8
Public
ctx_b
1)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 299 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rRbp)
(va_op_reg_opr64_reg64 rRdi)
16
Public
ctx_b
2)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 301 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR12)
(va_op_opr64_reg64 rR13))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR13)
(va_const_shift_amt64 2))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 303 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 304 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rR13)
(va_op_opr64_reg64 rR12))
(fun (va_s: va_state) _ ->
let h:int = h_in in
va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 307 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in)
(va_mul_nat (va_get_reg64 rRcx va_s)
(va_mul_nat n n))
r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet
0
va_s)
inp_b)
0)
(va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 309 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true
(fun _ ->
va_reveal_eq (`%modp) modp modp)
(fun _ ->
va_reveal_opaque (`%modp) modp)
(let va_arg40:(FStar.Seq.Base.seq Vale.X64.Memory.nat64
) =
Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet
0
va_s)
inp_b
in
let va_arg39:Prims.int = r in
let va_arg38:Prims.int =
va_mul_nat (va_get_reg64 rRcx
va_s)
(va_mul_nat n n)
in
let va_arg37:Prims.int =
Vale.Poly1305.Spec_s.modp h_in
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 310 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_: unit) ->
Vale.Poly1305.Util.reveal_poly1305_heap_blocks
va_arg37
va_arg38
va_arg39
va_arg40
0)
(va_QEmpty (()))))
(let word_index:nat = 0 in
va_QBind va_range1
"***** PRECONDITION NOT MET AT line 315 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_while0 va_old_s
ctx_b h_in inp_b length n p r h
word_index)
(fun (va_s: va_state) va_g ->
let h, word_index = va_g in
va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 374 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet
1)
(va_op_reg_opr64_reg64 rRdi
)
(va_op_reg_opr64_reg64 rR14
)
0
Public
ctx_b
0)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 375 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet
1)
(va_op_reg_opr64_reg64
rRdi)
(va_op_reg_opr64_reg64
rRbx)
8
Public
ctx_b
1)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 376 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer
(va_op_heaplet_mem_heaplet
1)
(va_op_reg_opr64_reg64
rRdi)
(va_op_reg_opr64_reg64
rRbp)
16
Public
ctx_b
2)
(va_QEmpty ((h))))))))
))))))))))))) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_wp_Poly1305_last_block | val va_wp_Poly1305_last_block (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 | val va_wp_Poly1305_last_block (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 | let va_wp_Poly1305_last_block (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in
va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n
`op_Division` 16 /\ r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division`
4 /\ (1 <= va_get_reg64 rR15 va_s0 /\ va_get_reg64 rR15 va_s0 < 16)) /\ (forall
(va_x_rax:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64) (va_x_efl:Vale.X64.Flags.t)
. let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax
va_s0))))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r1:nat64) = va_get_reg64 rRax va_s0 in let
(r:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in
let (hBlocks:Prims.int) = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let
(inpLast:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0)
(va_get_reg64 rR9 va_s0) in va_get_reg64 rRbp va_sM < 5 /\ (let padLast = Prims.pow2
(va_get_reg64 rR15 va_sM `op_Multiply` 8) in let hLast = Vale.Poly1305.Math.lowerUpper192
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM))
(va_get_reg64 rRbp va_sM) in Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp
((Vale.Poly1305.Spec_s.modp hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply`
r))) ==> va_k va_sM (()))) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 30,
"end_line": 1995,
"start_col": 0,
"start_line": 1965
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce)
//--
//-- Poly1305_iteration
val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_iteration () =
(va_Block (va_CCons (va_code_Poly1305_multiply ()) (va_CCons (va_code_Poly1305_reduce ())
(va_CNil ()))))
val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_iteration () =
(va_pbool_and (va_codegen_success_Poly1305_multiply ()) (va_pbool_and
(va_codegen_success_Poly1305_reduce ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_iteration (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_iteration ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in let (va_arg50:Prims.int) = n `op_Division` 16 in let
(va_arg49:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg48:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg48 7 va_arg49 va_arg50)
(let (va_arg47:Prims.int) = n `op_Division` 16 in let (va_arg46:Prims.int) = r1 in let
(va_arg45:Prims.int) = n in let (va_arg44:Prims.int) = va_get_reg64 rR14 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 211 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg44 va_arg45 va_arg46
va_arg47) (let (va_arg43:Prims.int) = n `op_Division` 16 in let (va_arg42:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg41:Prims.int) = n in let (va_arg40:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg40 va_arg41 va_arg42
va_arg43) (let (va_arg39:Prims.int) = n `op_Division` 8 in let (va_arg38:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg37:Prims.int) = n in let (va_arg36:Prims.int) =
va_get_reg64 rRbp va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg36 va_arg37 va_arg38
va_arg39) (let (va_arg35:Prims.int) = n `op_Division` 16 in let (va_arg34:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg33:Prims.int) = n in let (va_arg32:Prims.int) =
va_get_reg64 rR14 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg32 va_arg33 va_arg34
va_arg35) (let (va_arg31:Prims.int) = n `op_Division` 8 in let (va_arg30:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg29:Prims.int) = n in let (va_arg28:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg28 va_arg29 va_arg30
va_arg31) (let (va_arg27:Prims.int) = 5 `op_Multiply` n `op_Division` 64 in let
(va_arg26:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg25:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg25 7 va_arg26 va_arg27)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 218 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_multiply r1) (fun (va_s:va_state) (hd:int) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_reduce ()) (fun (va_s:va_state) (hh:int) -> va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 220 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 221 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(l_and (hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_s) + va_mul_nat n (va_get_reg64
rRbx va_s) + va_get_reg64 rR14 va_s) (va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p))
(va_QEmpty ((hh)))))))))))))))
val va_lemma_Poly1305_iteration : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_iteration ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp (va_mul_nat h r) ==
Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_iteration va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_iteration va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_iteration ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 180 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 201 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp (va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_iteration (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1) /\ (forall (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp
(va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_iteration : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_iteration r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_iteration ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_iteration r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_iteration (va_code_Poly1305_iteration ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_iteration (r1:nat64) : (va_quickCode int (va_code_Poly1305_iteration ())) =
(va_QProc (va_code_Poly1305_iteration ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRax]) (va_wp_Poly1305_iteration r1) (va_wpProof_Poly1305_iteration r1))
//--
//-- Poly1305_blocks_body0
val va_code_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_body0 () =
(va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Public))
(va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_CCons
(va_code_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (va_CCons
(va_code_Poly1305_iteration ()) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64
1)) (va_CNil ())))))))))))
val va_codegen_success_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_body0 () =
(va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0)
(va_op_reg64_reg64 rRsi) 0 Public)) (va_pbool_and (va_codegen_success_Mem64_lemma ())
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64
(va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_pbool_and
(va_codegen_success_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi)
(va_const_opr64 16)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Poly1305_iteration ())
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1))
(va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_body0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in let (nn:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (hp:int) = h in let (h:int) = h +
va_mul_nat (va_mul_nat nn nn) (va_get_reg64 rRcx va_s) + va_mul_nat nn
(Vale.X64.Decls.buffer64_read inp_b (word_index + 1) (va_get_mem_heaplet 0 va_s)) +
Vale.X64.Decls.buffer64_read inp_b word_index (va_get_mem_heaplet 0 va_s) in let (hq:int) = h
in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inp_b word_index
Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 0 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inp_b
(word_index + 1) Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 355 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 356 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state)
_ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 358 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hq == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat nn nn) + va_mul_nat (va_get_reg64 rRbx
va_s) nn + va_get_reg64 rR14 va_s) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 360 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration (va_get_reg64 rR12 va_s)) (fun (va_s:va_state) (h:int) -> va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 362 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 363 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1)) (fun (va_s:va_state) _ -> let
(word_index:nat) = word_index + 2 in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 366 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index) (let
(va_arg50:Prims.int) = word_index in let (va_arg49:(FStar.Seq.Base.seq Vale.X64.Memory.nat64))
= Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b in let (va_arg48:Prims.int)
= r in let (va_arg47:Prims.int) = va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let
(va_arg46:Prims.int) = Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 368 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg46 va_arg47 va_arg48
va_arg49 va_arg50) (let (va_arg45:Prims.int) = word_index - 2 in let
(va_arg44:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg43:Prims.int) = r in let (va_arg42:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let (va_arg41:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 369 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg41 va_arg42 va_arg43
va_arg44 va_arg45) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 370 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:Prims.int) = r in let (va_arg39:Prims.int) = hq - hp in let (va_arg38:Prims.int) = hp
in let (va_arg37:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg37 va_arg38 va_arg39 va_arg40)
(va_QEmpty (())))))) (va_QEmpty ((h, word_index)))))))))))))))
val va_lemma_Poly1305_blocks_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old /\ va_get_reg64 rR15 va_s0 =!= 0))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15
va_s0) /\ va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_body0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_body0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_body0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 345 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
va_get_reg64 rR15 va_s0 =!= 0 /\ (forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_rax:nat64) (va_x_rbp:nat64) (va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int)
(word_index:nat) . let va_sM = va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64
rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10 (va_upd_ok va_x_ok (va_upd_flags va_x_efl
va_s0))))))))))) in va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n ==
va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\
va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h ==
va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64
rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12
va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64
rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM ==
va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM
== va_get_reg64 rRsi va_old + va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64
/\ va_in_length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8
`op_Multiply` (word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8
`op_Multiply` word_index == va_in_length /\ va_get_reg64 rRsi va_sM + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) +
8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_sM < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM)
(va_get_reg64 rRdi va_sM) va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old /\
precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_body0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int ->
va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_body0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_body0 (va_code_Poly1305_blocks_body0
()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r
va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_body0 ())) =
(va_QProc (va_code_Poly1305_blocks_body0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64
rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks_while0
val va_code_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_while0 () =
(va_Block (va_CCons (va_While (va_cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (va_Block
(va_CCons (va_code_Poly1305_blocks_body0 ()) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_while0 () =
(va_pbool_and (va_codegen_success_Poly1305_blocks_body0 ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_while0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_qWhile va_mods (Cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (fun va_g -> let (h:int) =
let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g in
word_index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_body0 va_old ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QEmpty ((h, word_index))))) (fun
(va_s:va_state) va_g -> let (h:int) = let (h, word_index) = va_g in h in let (word_index:nat) =
let (h, word_index) = va_g in word_index in va_get_ok va_s /\ n == pow2_64 /\ va_mul_nat n n ==
va_mul_nat pow2_64 pow2_64 /\ p == va_mul_nat n n `op_Multiply` 4 - 5 /\ r == va_mul_nat
(va_get_reg64 rR12 va_s) n + va_get_reg64 rR11 va_s /\ h == va_mul_nat (va_get_reg64 rRbp va_s)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s) pow2_64 + va_get_reg64 rR14
va_s /\ va_get_reg64 rR11 va_s < n `op_Division` 16 /\ va_get_reg64 rR12 va_s < n `op_Division`
16 /\ va_get_reg64 rR12 va_s `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s == va_get_reg64 rR12
va_s + va_get_reg64 rR12 va_s `op_Division` 4 /\ va_get_reg64 rRbp va_s < 5 /\ va_get_reg64
rRax va_s == va_get_reg64 rR12 va_s /\ va_get_reg64 rRsi va_s + 16 `op_Multiply` va_get_reg64
rR15 va_s == va_get_reg64 rRsi va_old + length /\ va_get_reg64 rRsi va_old + length < pow2_64
/\ length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s =!= 0 ==> 8 `op_Multiply`
(word_index + 1) <= length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s + 8 `op_Multiply`
word_index == length /\ va_get_reg64 rRsi va_s + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 inp_b (va_get_mem_heaplet 0 va_s) + 8 `op_Multiply` word_index /\
va_get_reg64 rR15 va_s `op_Multiply` 16 <= length /\ va_get_reg64 rRcx va_s < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s) (va_get_reg64 rRdi va_s) ctx_b 24
(va_get_mem_layout va_s) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s)
(va_get_reg64 rRsi va_old) inp_b (length `op_Division` 8) (va_get_mem_layout va_s) Public /\
va_get_reg64 rRdi va_s == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s == va_get_reg64
rRcx va_old /\ (va_get_reg64 rRsi va_s - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index /\
va_get_mem_heaplet 1 va_s == va_get_mem_heaplet 1 va_old) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in va_get_reg64 rR15 va_s) ((h, word_index))) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in let va_g = (h, word_index) in let ((h:int), (word_index:nat)) = va_g in
va_QEmpty ((h, word_index)))))
val va_lemma_Poly1305_blocks_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_while0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) /\ va_state_eq va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_while0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_while0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_while0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(~(va_get_reg64 rR15 va_sM =!= 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
(forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r14:nat64)
(va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_rax:nat64) (va_x_rbp:nat64)
(va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int) (word_index:nat) . let va_sM =
va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_ok va_x_ok (va_upd_flags va_x_efl va_s0))))))))))) in va_get_ok va_sM /\ va_in_n ==
pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat
va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n
+ va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64
pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\
va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM ==
va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM <
5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16
`op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ 16
`op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length /\
va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b
(va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM
`op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_while0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int
-> va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_while0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length
va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_while0
(va_code_Poly1305_blocks_while0 ()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_while0 ())) =
(va_QProc (va_code_Poly1305_blocks_while0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx;
va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks
val va_code_Poly1305_blocks : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks () =
(va_Block (va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi) 24 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRdi) 32
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rR14) (va_op_reg_opr64_reg64 rRdi) 0 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRdi) 8
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rRbp) (va_op_reg_opr64_reg64 rRdi) 16 Public) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rR12) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rR13)
(va_const_shift_amt64 2)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rR13)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Poly1305_blocks_while0 ()) (va_CCons
(va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR14) 0 Public) (va_CCons (va_code_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRbx) 8
Public) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64
rRdi) (va_op_reg_opr64_reg64 rRbp) 16 Public) (va_CNil ())))))))))))))))))
val va_codegen_success_Poly1305_blocks : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks () =
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx))
(va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdi) 24 Public) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13)
(va_op_reg_opr64_reg64 rRdi) 32 Public) (va_pbool_and (va_codegen_success_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR14) (va_op_reg_opr64_reg64 rRdi) 0
Public) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRdi) 8 Public) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbp)
(va_op_reg_opr64_reg64 rRdi) 16 Public) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Shr64
(va_op_dst_opr64_reg64 rR13) (va_const_shift_amt64 2)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_pbool_and (va_codegen_success_Add64
(va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rR12)) (va_pbool_and
(va_codegen_success_Poly1305_blocks_while0 ()) (va_pbool_and (va_codegen_success_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR14) 0
Public) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRbx) 8 Public) (va_pbool_and
(va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbp) 16 Public) (va_ttrue ()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks (va_mods:va_mods_t) (r:int) (h_in:int) (ctx_b:buffer64)
(inp_b:buffer64) : (va_quickCode (int) (va_code_Poly1305_blocks ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 285 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (let (length:int) = va_get_reg64 rRdx
va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 289 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 292 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 294 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi) 24 Public ctx_b 3) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 295 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13)
(va_op_reg_opr64_reg64 rRdi) 32 Public ctx_b 4) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 297 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR14)
(va_op_reg_opr64_reg64 rRdi) 0 Public ctx_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 298 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbx)
(va_op_reg_opr64_reg64 rRdi) 8 Public ctx_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 299 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbp)
(va_op_reg_opr64_reg64 rRdi) 16 Public ctx_b 2) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 301 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR13) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 303 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 304 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rR12)) (fun (va_s:va_state) _
-> let (h:int) = h_in in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 307 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) 0) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 309 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg39:Prims.int) = r in let (va_arg38:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n) in let (va_arg37:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 310 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg37 va_arg38 va_arg39
va_arg40 0) (va_QEmpty (())))) (let (word_index:nat) = 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 315 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_while0 va_old_s ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 374 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR14) 0 Public ctx_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 375 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbx) 8 Public ctx_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 376 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbp) 16 Public ctx_b 2) (va_QEmpty ((h)))))))))))))))))))))
val va_lemma_Poly1305_blocks : va_b0:va_code -> va_s0:va_state -> r:int -> h_in:int ->
ctx_b:buffer64 -> inp_b:buffer64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64 rRdx va_s0 `op_Modulus` 16 == 0 /\
va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 < pow2_64 /\ Vale.X64.Decls.validDstAddrs64
(va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) ctx_b 24 (va_get_mem_layout va_s0)
Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0)
inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout va_s0) Public /\ (let h0_in
= Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_s0) in let h1_in =
Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_s0) in let h2_in =
Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_s0) in let r0_in =
Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_s0) in let r1_in =
Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_s0) in h_in == va_mul_nat h2_in
(va_mul_nat n n) + va_mul_nat h1_in n + h0_in /\ r == va_mul_nat r1_in n + r0_in /\ r0_in < n
`op_Division` 16 /\ r1_in < n `op_Division` 16 /\ r1_in `op_Modulus` 4 == 0 /\ h2_in < 5 /\
va_get_reg64 rRcx va_s0 < 2))))
(ensures (fun (va_sM, va_fM, h) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64
rRbp va_sM < 5 /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64
rRdi va_sM) ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0
`op_Division` 8) (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.modifies_buffer_specific
ctx_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM) 0 2 /\ va_get_reg64 rR14 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbx va_sM
== Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbp va_sM
== Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR11 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR12 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR13 va_sM
== va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRsi va_sM
== va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRcx va_sM == va_get_reg64
rRcx va_s0 /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 /\ (let r0_in =
Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) in let r1_in =
Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) in h == va_mul_nat
(va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM)
pow2_64 + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0 `op_Division` 8))) /\ va_state_eq
va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rRax va_sM (va_update_reg64 rRbp 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_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx 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_Poly1305_blocks va_b0 va_s0 r h_in ctx_b inp_b =
let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64
rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rRdx; va_Mod_reg64 rRsi; va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_Poly1305_blocks va_mods r h_in ctx_b inp_b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let h = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in label
va_range1
"***** POSTCONDITION NOT MET AT line 264 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 265 column 66 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) ctx_b 24
(va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 266 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_s0) inp_b
(va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 267 column 65 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific ctx_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet
1 va_sM) 0 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 268 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR14 va_sM == Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 269 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 270 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM == Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 271 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 272 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM == Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 273 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 274 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 277 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 278 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 280 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) in label
va_range1
"***** POSTCONDITION NOT MET AT line 281 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) in label
va_range1
"***** POSTCONDITION NOT MET AT line 282 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 283 column 118 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0
`op_Division` 8)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_ok; va_Mod_mem]) va_sM va_s0;
let h = va_g in
(va_sM, va_fM, h)
[@ va_qattr]
let va_wp_Poly1305_blocks (r:int) (h_in:int) (ctx_b:buffer64) (inp_b:buffer64) (va_s0:va_state)
(va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64
rRdx va_s0 `op_Modulus` 16 == 0 /\ va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 < pow2_64
/\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) ctx_b
24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0
va_s0) (va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8)
(va_get_mem_layout va_s0) Public /\ (let h0_in = Vale.X64.Decls.buffer64_read ctx_b 0
(va_get_mem_heaplet 1 va_s0) in let h1_in = Vale.X64.Decls.buffer64_read ctx_b 1
(va_get_mem_heaplet 1 va_s0) in let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2
(va_get_mem_heaplet 1 va_s0) in let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3
(va_get_mem_heaplet 1 va_s0) in let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4
(va_get_mem_heaplet 1 va_s0) in h_in == va_mul_nat h2_in (va_mul_nat n n) + va_mul_nat h1_in n
+ h0_in /\ r == va_mul_nat r1_in n + r0_in /\ r0_in < n `op_Division` 16 /\ r1_in < n
`op_Division` 16 /\ r1_in `op_Modulus` 4 == 0 /\ h2_in < 5 /\ va_get_reg64 rRcx va_s0 < 2)) /\
(forall (va_x_mem:vale_heap) (va_x_rsi:nat64) (va_x_rdx:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_r10:nat64) (va_x_r11:nat64) (va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64)
(va_x_rbx:nat64) (va_x_rbp:nat64) (va_x_rax:nat64) (va_x_r15:nat64) (va_x_efl:Vale.X64.Flags.t)
(va_x_heap1:vale_heap) (h:int) . let va_sM = va_upd_mem_heaplet 1 va_x_heap1 (va_upd_flags
va_x_efl (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRbp va_x_rbp
(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_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRsi va_x_rsi (va_upd_mem va_x_mem va_s0))))))))))))))) in va_get_ok va_sM /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64 rRbp va_sM < 5 /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) ctx_b 24
(va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM)
(va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout
va_sM) Public /\ Vale.X64.Decls.modifies_buffer_specific ctx_b (va_get_mem_heaplet 1 va_s0)
(va_get_mem_heaplet 1 va_sM) 0 2 /\ va_get_reg64 rR14 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 0 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbx va_sM == Vale.X64.Decls.buffer64_read
ctx_b 1 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbp va_sM == Vale.X64.Decls.buffer64_read
ctx_b 2 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 3 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR12 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 4 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM +
va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 +
va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0 /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_s0 /\ (let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3
(va_get_mem_heaplet 1 va_sM) in let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4
(va_get_mem_heaplet 1 va_sM) in h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64
pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0
`op_Division` 8))) ==> va_k va_sM ((h))))
val va_wpProof_Poly1305_blocks : r:int -> h_in:int -> ctx_b:buffer64 -> inp_b:buffer64 ->
va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks r h_in ctx_b inp_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks ())
([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi;
va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks r h_in ctx_b inp_b va_s0 va_k =
let (va_sM, va_f0, h) = va_lemma_Poly1305_blocks (va_code_Poly1305_blocks ()) va_s0 r h_in ctx_b
inp_b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM (va_update_reg64
rR15 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRbp 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_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx 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_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_mem]) va_sM va_s0;
let va_g = (h) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks (r:int) (h_in:int) (ctx_b:buffer64) (inp_b:buffer64) : (va_quickCode
int (va_code_Poly1305_blocks ())) =
(va_QProc (va_code_Poly1305_blocks ()) ([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15;
va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_mem]) (va_wp_Poly1305_blocks r h_in ctx_b inp_b)
(va_wpProof_Poly1305_blocks r h_in ctx_b inp_b))
//--
//-- Poly1305_last_block
val va_code_Poly1305_last_block : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_last_block () =
(va_Block (va_CCons (va_IfElse (va_cmp_lt (va_op_cmp_reg64 rR15) (va_const_cmp 8)) (va_Block
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_CCons
(va_code_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_CCons (va_code_Shl64
(va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Sub64
(va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ())))))))))))))))) (va_Block
(va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx)
(va_op_opr64_reg64 rR15)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64
8)) (va_CCons (va_code_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_CCons (va_code_Shl64
(va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (va_CCons (va_Block (va_CNil ()))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))))))))))) (va_CCons
(va_code_Poly1305_iteration ()) (va_CNil ()))))
val va_codegen_success_Poly1305_last_block : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_last_block () =
(va_pbool_and (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx)
(va_op_opr64_reg64 rR15)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRcx)
(va_const_shift_amt64 3)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx)
(va_const_opr64 1)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRdx)
(va_op_shift_amt64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRcx) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64
rRcx) (va_const_opr64 1)) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9)
(va_const_opr64 0)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_pbool_and
(va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 8)) (va_pbool_and
(va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_pbool_and
(va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64
rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRdx)) (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_const_opr64 0))))))))))))))))))))))))))))) (va_pbool_and
(va_codegen_success_Poly1305_iteration ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_last_block (va_mods:va_mods_t) : (va_quickCode unit
(va_code_Poly1305_last_block ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r1:nat64) = va_get_reg64 rRax va_s in let
(r:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s) r1 in
let (hBlocks:Prims.int) = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s) (va_get_reg64 rRbx va_s)) (va_get_reg64 rRbp va_s) in let
(inpLast:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s)
(va_get_reg64 rR9 va_s) in let (padLast:Prims.pos) = Prims.pow2 (va_get_reg64 rR15 va_s
`op_Multiply` 8) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 409 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_qIf va_mods (Cmp_lt (va_op_cmp_reg64 rR15) (va_const_cmp 8)) (qblock va_mods (fun
(va_s:va_state) -> let (va_arg78:Vale.Def.Types_s.nat64) = va_get_reg64 rR15 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 410 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_shift_power2 va_arg78) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 412 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 413 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 414 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (fun
(va_s:va_state) _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 415 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdx va_s == padLast) (let (va_arg77:Vale.Def.Types_s.nat64) = va_get_reg64 rR15
va_s in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 417 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_and_mod va_arg76 va_arg77) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 419 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(padLast == Vale.Poly1305.Math.shift_left64 1 (Vale.Poly1305.Math.shift_left64 (va_get_reg64
rR15 va_s) 3)) (let (va_arg75:Prims.int) = Prims.pow2 (va_get_reg64 rR15 va_s `op_Multiply` 8)
in let (va_arg74:Prims.int) = va_get_reg64 rR15 va_s in let (va_arg73:Vale.Def.Types_s.nat64) =
va_get_reg64 rR9 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 420 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mod_power2_lo va_arg72 va_arg73 va_arg74 va_arg75)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 421 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 422 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 425 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR8 va_s == va_get_reg64 rR8 va_old_s `op_Modulus` padLast) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 426 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) == inpLast
`op_Modulus` padLast) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 429 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 430 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 431 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 433 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 434 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 435 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QEmpty
(())))))))))))))))))))))))) (qblock va_mods (fun (va_s:va_state) -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 437 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_s - 8 >= 0 /\ va_get_reg64 rR15 va_s - 8 <= 255) (fun _ -> let
(nExtra8:nat8) = va_get_reg64 rR15 va_s - 8 in let (va_arg85:Vale.Def.Types_s.nat64) = nExtra8
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_shift_power2 va_arg85) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 441 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 442 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 443 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (fun
(va_s:va_state) _ -> va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 445 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(padLast == Vale.Poly1305.Math.lowerUpper128 0 (va_get_reg64 rRdx va_s)) (let
(va_arg84:Prims.nat) = 8 `op_Multiply` nExtra8 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 446 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_power2_add64 va_arg84) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 447 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (())))) (let
(va_arg83:Vale.Def.Types_s.nat64) = nExtra8 in let (va_arg82:Vale.Def.Types_s.nat64) =
va_get_reg64 rR9 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 451 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_and_mod va_arg82 va_arg83) (va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 452 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Prims.pow2 (8 `op_Multiply` nExtra8) >= 0 /\ Prims.pow2 (8 `op_Multiply` nExtra8) <=
18446744073709551615) (fun _ -> let (va_arg81:Vale.Def.Types_s.nat64) = Prims.pow2 (8
`op_Multiply` nExtra8) in let (va_arg80:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let
(va_arg79:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 452 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mod_hi va_arg79 va_arg80 va_arg81) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 453 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 454 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 455 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ ->
va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 456 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) == inpLast
`op_Modulus` padLast) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 459 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 460 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 461 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 463 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 464 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 465 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QEmpty
(()))))))))))))))))))))))))) (fun (va_s:va_state) va_g -> let (h:int) = hBlocks + inpLast
`op_Modulus` padLast + padLast in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 469 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx
va_s) n + va_get_reg64 rR14 va_s) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 469 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper192_reveal ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 469 column 93 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (())))) (va_qAssertBy
va_range1
"***** PRECONDITION NOT MET AT line 470 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(r == va_mul_nat r1 n + va_get_reg64 rR11 va_s) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 470 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (()))) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 471 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration r1) (fun (va_s:va_state) (hLast:int) -> va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 472 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hLast == Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14
va_s) (va_get_reg64 rRbx va_s)) (va_get_reg64 rRbp va_s)) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 472 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper192_reveal ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 472 column 111 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (())))) (let
(va_arg71:Prims.int) = r in let (va_arg70:Prims.int) = inpLast `op_Modulus` padLast + padLast
in let (va_arg69:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 473 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg69 hBlocks va_arg70 va_arg71)
(va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 474 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp ((Vale.Poly1305.Spec_s.modp
hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply` r)) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 474 column 90 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_QEmpty (()))) (va_QEmpty (()))))))))))
val va_lemma_Poly1305_last_block : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Poly1305_last_block ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in
va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n
`op_Division` 16 /\ r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division`
4 /\ (1 <= va_get_reg64 rR15 va_s0 /\ va_get_reg64 rR15 va_s0 < 16))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in
va_get_reg64 rRbp va_sM < 5 /\ (let padLast = Prims.pow2 (va_get_reg64 rR15 va_sM `op_Multiply`
8) in let hLast = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM)) (va_get_reg64 rRbp va_sM) in
Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp ((Vale.Poly1305.Spec_s.modp
hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply` r))) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_last_block va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_last_block va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_last_block ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 380 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in label
va_range1
"***** POSTCONDITION NOT MET AT line 402 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let padLast = Prims.pow2 (va_get_reg64 rR15 va_sM `op_Multiply` 8) in label va_range1
"***** POSTCONDITION NOT MET AT line 404 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let hLast = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64
rR14 va_sM) (va_get_reg64 rRbx va_sM)) (va_get_reg64 rRbp va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 405 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp ((Vale.Poly1305.Spec_s.modp
hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply` r)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM) | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0)
-> Type0 | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.Decls.va_state",
"Prims.unit",
"Prims.l_and",
"Prims.b2t",
"Vale.X64.Decls.va_get_ok",
"Prims.op_LessThan",
"Vale.X64.Decls.va_get_reg64",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.Machine_s.rR11",
"Prims.op_Division",
"Prims.eq2",
"Prims.int",
"Prims.op_Modulus",
"Vale.X64.Machine_s.rR13",
"Prims.op_Addition",
"Prims.op_LessThanOrEqual",
"Vale.X64.Machine_s.rR15",
"Vale.Def.Words_s.nat128",
"Vale.Poly1305.Math.lowerUpper128",
"Vale.X64.Machine_s.rR8",
"Vale.X64.Machine_s.rR9",
"Vale.Poly1305.Math.lowerUpper192",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Machine_s.rRbx",
"Vale.Def.Words_s.nat64",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Decls.va_int_range",
"Prims.op_Subtraction",
"Prims.op_Multiply",
"Vale.X64.Decls.va_mul_nat",
"Prims.l_Forall",
"Vale.X64.Memory.nat64",
"Vale.X64.Flags.t",
"Prims.l_imp",
"Vale.Poly1305.Spec_s.modp",
"Prims.pos",
"Prims.pow2",
"Vale.X64.State.vale_state",
"Vale.X64.Decls.va_upd_flags",
"Vale.X64.Decls.va_upd_reg64",
"Vale.X64.Machine_s.rR10",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Machine_s.rRcx"
] | [] | false | false | false | true | true | let va_wp_Poly1305_last_block (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 =
| (va_get_ok va_s0 /\
(let n:(va_int_range 18446744073709551616 18446744073709551616) = 18446744073709551616 in
let p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) =
(va_mul_nat n n) `op_Multiply` 4 - 5
in
let r1:nat64 = va_get_reg64 rRax va_s0 in
let r:Vale.Def.Words_s.nat128 = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in
let hBlocks:Prims.int =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0))
(va_get_reg64 rRbp va_s0)
in
let inpLast:Vale.Def.Words_s.nat128 =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0)
in
va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\
r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\
(1 <= va_get_reg64 rR15 va_s0 /\ va_get_reg64 rR15 va_s0 < 16)) /\
(forall (va_x_rax: nat64) (va_x_rcx: nat64) (va_x_rdx: nat64) (va_x_r8: nat64) (va_x_r9: nat64)
(va_x_r10: nat64) (va_x_r14: nat64) (va_x_rbx: nat64) (va_x_rbp: nat64)
(va_x_efl: Vale.X64.Flags.t).
let va_sM =
va_upd_flags va_x_efl
(va_upd_reg64 rRbp
va_x_rbp
(va_upd_reg64 rRbx
va_x_rbx
(va_upd_reg64 rR14
va_x_r14
(va_upd_reg64 rR10
va_x_r10
(va_upd_reg64 rR9
va_x_r9
(va_upd_reg64 rR8
va_x_r8
(va_upd_reg64 rRdx
va_x_rdx
(va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0)
))))))))
in
va_get_ok va_sM /\
(let n:(va_int_range 18446744073709551616 18446744073709551616) = 18446744073709551616 in
let p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) =
(va_mul_nat n n) `op_Multiply` 4 - 5
in
let r1:nat64 = va_get_reg64 rRax va_s0 in
let r:Vale.Def.Words_s.nat128 =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1
in
let hBlocks:Prims.int =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14
va_s0)
(va_get_reg64 rRbx va_s0))
(va_get_reg64 rRbp va_s0)
in
let inpLast:Vale.Def.Words_s.nat128 =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0)
in
va_get_reg64 rRbp va_sM < 5 /\
(let padLast = Prims.pow2 ((va_get_reg64 rR15 va_sM) `op_Multiply` 8) in
let hLast =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14
va_sM)
(va_get_reg64 rRbx va_sM))
(va_get_reg64 rRbp va_sM)
in
Vale.Poly1305.Spec_s.modp hLast ==
Vale.Poly1305.Spec_s.modp ((Vale.Poly1305.Spec_s.modp hBlocks + padLast +
inpLast
`op_Modulus`
padLast)
`op_Multiply`
r))) ==>
va_k va_sM (()))) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_codegen_success_Poly1305_add_key_s | val va_codegen_success_Poly1305_add_key_s : va_dummy:unit -> Tot va_pbool | val va_codegen_success_Poly1305_add_key_s : va_dummy:unit -> Tot va_pbool | let va_codegen_success_Poly1305_add_key_s () =
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64
rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rRdx)) (va_ttrue ()))) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 45,
"end_line": 2220,
"start_col": 0,
"start_line": 2217
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce)
//--
//-- Poly1305_iteration
val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_iteration () =
(va_Block (va_CCons (va_code_Poly1305_multiply ()) (va_CCons (va_code_Poly1305_reduce ())
(va_CNil ()))))
val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_iteration () =
(va_pbool_and (va_codegen_success_Poly1305_multiply ()) (va_pbool_and
(va_codegen_success_Poly1305_reduce ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_iteration (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_iteration ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in let (va_arg50:Prims.int) = n `op_Division` 16 in let
(va_arg49:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg48:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg48 7 va_arg49 va_arg50)
(let (va_arg47:Prims.int) = n `op_Division` 16 in let (va_arg46:Prims.int) = r1 in let
(va_arg45:Prims.int) = n in let (va_arg44:Prims.int) = va_get_reg64 rR14 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 211 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg44 va_arg45 va_arg46
va_arg47) (let (va_arg43:Prims.int) = n `op_Division` 16 in let (va_arg42:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg41:Prims.int) = n in let (va_arg40:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg40 va_arg41 va_arg42
va_arg43) (let (va_arg39:Prims.int) = n `op_Division` 8 in let (va_arg38:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg37:Prims.int) = n in let (va_arg36:Prims.int) =
va_get_reg64 rRbp va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg36 va_arg37 va_arg38
va_arg39) (let (va_arg35:Prims.int) = n `op_Division` 16 in let (va_arg34:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg33:Prims.int) = n in let (va_arg32:Prims.int) =
va_get_reg64 rR14 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg32 va_arg33 va_arg34
va_arg35) (let (va_arg31:Prims.int) = n `op_Division` 8 in let (va_arg30:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg29:Prims.int) = n in let (va_arg28:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg28 va_arg29 va_arg30
va_arg31) (let (va_arg27:Prims.int) = 5 `op_Multiply` n `op_Division` 64 in let
(va_arg26:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg25:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg25 7 va_arg26 va_arg27)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 218 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_multiply r1) (fun (va_s:va_state) (hd:int) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_reduce ()) (fun (va_s:va_state) (hh:int) -> va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 220 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 221 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(l_and (hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_s) + va_mul_nat n (va_get_reg64
rRbx va_s) + va_get_reg64 rR14 va_s) (va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p))
(va_QEmpty ((hh)))))))))))))))
val va_lemma_Poly1305_iteration : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_iteration ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp (va_mul_nat h r) ==
Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_iteration va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_iteration va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_iteration ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 180 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 201 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp (va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_iteration (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1) /\ (forall (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp
(va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_iteration : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_iteration r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_iteration ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_iteration r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_iteration (va_code_Poly1305_iteration ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_iteration (r1:nat64) : (va_quickCode int (va_code_Poly1305_iteration ())) =
(va_QProc (va_code_Poly1305_iteration ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRax]) (va_wp_Poly1305_iteration r1) (va_wpProof_Poly1305_iteration r1))
//--
//-- Poly1305_blocks_body0
val va_code_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_body0 () =
(va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Public))
(va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_CCons
(va_code_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (va_CCons
(va_code_Poly1305_iteration ()) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64
1)) (va_CNil ())))))))))))
val va_codegen_success_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_body0 () =
(va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0)
(va_op_reg64_reg64 rRsi) 0 Public)) (va_pbool_and (va_codegen_success_Mem64_lemma ())
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64
(va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_pbool_and
(va_codegen_success_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi)
(va_const_opr64 16)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Poly1305_iteration ())
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1))
(va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_body0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in let (nn:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (hp:int) = h in let (h:int) = h +
va_mul_nat (va_mul_nat nn nn) (va_get_reg64 rRcx va_s) + va_mul_nat nn
(Vale.X64.Decls.buffer64_read inp_b (word_index + 1) (va_get_mem_heaplet 0 va_s)) +
Vale.X64.Decls.buffer64_read inp_b word_index (va_get_mem_heaplet 0 va_s) in let (hq:int) = h
in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inp_b word_index
Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 0 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inp_b
(word_index + 1) Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 355 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 356 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state)
_ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 358 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hq == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat nn nn) + va_mul_nat (va_get_reg64 rRbx
va_s) nn + va_get_reg64 rR14 va_s) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 360 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration (va_get_reg64 rR12 va_s)) (fun (va_s:va_state) (h:int) -> va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 362 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 363 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1)) (fun (va_s:va_state) _ -> let
(word_index:nat) = word_index + 2 in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 366 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index) (let
(va_arg50:Prims.int) = word_index in let (va_arg49:(FStar.Seq.Base.seq Vale.X64.Memory.nat64))
= Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b in let (va_arg48:Prims.int)
= r in let (va_arg47:Prims.int) = va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let
(va_arg46:Prims.int) = Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 368 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg46 va_arg47 va_arg48
va_arg49 va_arg50) (let (va_arg45:Prims.int) = word_index - 2 in let
(va_arg44:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg43:Prims.int) = r in let (va_arg42:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let (va_arg41:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 369 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg41 va_arg42 va_arg43
va_arg44 va_arg45) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 370 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:Prims.int) = r in let (va_arg39:Prims.int) = hq - hp in let (va_arg38:Prims.int) = hp
in let (va_arg37:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg37 va_arg38 va_arg39 va_arg40)
(va_QEmpty (())))))) (va_QEmpty ((h, word_index)))))))))))))))
val va_lemma_Poly1305_blocks_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old /\ va_get_reg64 rR15 va_s0 =!= 0))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15
va_s0) /\ va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_body0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_body0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_body0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 345 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
va_get_reg64 rR15 va_s0 =!= 0 /\ (forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_rax:nat64) (va_x_rbp:nat64) (va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int)
(word_index:nat) . let va_sM = va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64
rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10 (va_upd_ok va_x_ok (va_upd_flags va_x_efl
va_s0))))))))))) in va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n ==
va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\
va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h ==
va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64
rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12
va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64
rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM ==
va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM
== va_get_reg64 rRsi va_old + va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64
/\ va_in_length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8
`op_Multiply` (word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8
`op_Multiply` word_index == va_in_length /\ va_get_reg64 rRsi va_sM + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) +
8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_sM < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM)
(va_get_reg64 rRdi va_sM) va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old /\
precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_body0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int ->
va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_body0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_body0 (va_code_Poly1305_blocks_body0
()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r
va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_body0 ())) =
(va_QProc (va_code_Poly1305_blocks_body0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64
rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks_while0
val va_code_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_while0 () =
(va_Block (va_CCons (va_While (va_cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (va_Block
(va_CCons (va_code_Poly1305_blocks_body0 ()) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_while0 () =
(va_pbool_and (va_codegen_success_Poly1305_blocks_body0 ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_while0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_qWhile va_mods (Cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (fun va_g -> let (h:int) =
let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g in
word_index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_body0 va_old ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QEmpty ((h, word_index))))) (fun
(va_s:va_state) va_g -> let (h:int) = let (h, word_index) = va_g in h in let (word_index:nat) =
let (h, word_index) = va_g in word_index in va_get_ok va_s /\ n == pow2_64 /\ va_mul_nat n n ==
va_mul_nat pow2_64 pow2_64 /\ p == va_mul_nat n n `op_Multiply` 4 - 5 /\ r == va_mul_nat
(va_get_reg64 rR12 va_s) n + va_get_reg64 rR11 va_s /\ h == va_mul_nat (va_get_reg64 rRbp va_s)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s) pow2_64 + va_get_reg64 rR14
va_s /\ va_get_reg64 rR11 va_s < n `op_Division` 16 /\ va_get_reg64 rR12 va_s < n `op_Division`
16 /\ va_get_reg64 rR12 va_s `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s == va_get_reg64 rR12
va_s + va_get_reg64 rR12 va_s `op_Division` 4 /\ va_get_reg64 rRbp va_s < 5 /\ va_get_reg64
rRax va_s == va_get_reg64 rR12 va_s /\ va_get_reg64 rRsi va_s + 16 `op_Multiply` va_get_reg64
rR15 va_s == va_get_reg64 rRsi va_old + length /\ va_get_reg64 rRsi va_old + length < pow2_64
/\ length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s =!= 0 ==> 8 `op_Multiply`
(word_index + 1) <= length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s + 8 `op_Multiply`
word_index == length /\ va_get_reg64 rRsi va_s + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 inp_b (va_get_mem_heaplet 0 va_s) + 8 `op_Multiply` word_index /\
va_get_reg64 rR15 va_s `op_Multiply` 16 <= length /\ va_get_reg64 rRcx va_s < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s) (va_get_reg64 rRdi va_s) ctx_b 24
(va_get_mem_layout va_s) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s)
(va_get_reg64 rRsi va_old) inp_b (length `op_Division` 8) (va_get_mem_layout va_s) Public /\
va_get_reg64 rRdi va_s == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s == va_get_reg64
rRcx va_old /\ (va_get_reg64 rRsi va_s - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index /\
va_get_mem_heaplet 1 va_s == va_get_mem_heaplet 1 va_old) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in va_get_reg64 rR15 va_s) ((h, word_index))) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in let va_g = (h, word_index) in let ((h:int), (word_index:nat)) = va_g in
va_QEmpty ((h, word_index)))))
val va_lemma_Poly1305_blocks_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_while0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) /\ va_state_eq va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_while0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_while0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_while0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(~(va_get_reg64 rR15 va_sM =!= 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
(forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r14:nat64)
(va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_rax:nat64) (va_x_rbp:nat64)
(va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int) (word_index:nat) . let va_sM =
va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_ok va_x_ok (va_upd_flags va_x_efl va_s0))))))))))) in va_get_ok va_sM /\ va_in_n ==
pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat
va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n
+ va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64
pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\
va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM ==
va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM <
5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16
`op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ 16
`op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length /\
va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b
(va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM
`op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_while0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int
-> va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_while0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length
va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_while0
(va_code_Poly1305_blocks_while0 ()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_while0 ())) =
(va_QProc (va_code_Poly1305_blocks_while0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx;
va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks
val va_code_Poly1305_blocks : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks () =
(va_Block (va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi) 24 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRdi) 32
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rR14) (va_op_reg_opr64_reg64 rRdi) 0 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRdi) 8
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rRbp) (va_op_reg_opr64_reg64 rRdi) 16 Public) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rR12) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rR13)
(va_const_shift_amt64 2)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rR13)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Poly1305_blocks_while0 ()) (va_CCons
(va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR14) 0 Public) (va_CCons (va_code_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRbx) 8
Public) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64
rRdi) (va_op_reg_opr64_reg64 rRbp) 16 Public) (va_CNil ())))))))))))))))))
val va_codegen_success_Poly1305_blocks : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks () =
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx))
(va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdi) 24 Public) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13)
(va_op_reg_opr64_reg64 rRdi) 32 Public) (va_pbool_and (va_codegen_success_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR14) (va_op_reg_opr64_reg64 rRdi) 0
Public) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRdi) 8 Public) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbp)
(va_op_reg_opr64_reg64 rRdi) 16 Public) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Shr64
(va_op_dst_opr64_reg64 rR13) (va_const_shift_amt64 2)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_pbool_and (va_codegen_success_Add64
(va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rR12)) (va_pbool_and
(va_codegen_success_Poly1305_blocks_while0 ()) (va_pbool_and (va_codegen_success_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR14) 0
Public) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRbx) 8 Public) (va_pbool_and
(va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbp) 16 Public) (va_ttrue ()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks (va_mods:va_mods_t) (r:int) (h_in:int) (ctx_b:buffer64)
(inp_b:buffer64) : (va_quickCode (int) (va_code_Poly1305_blocks ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 285 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (let (length:int) = va_get_reg64 rRdx
va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 289 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 292 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 294 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi) 24 Public ctx_b 3) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 295 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13)
(va_op_reg_opr64_reg64 rRdi) 32 Public ctx_b 4) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 297 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR14)
(va_op_reg_opr64_reg64 rRdi) 0 Public ctx_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 298 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbx)
(va_op_reg_opr64_reg64 rRdi) 8 Public ctx_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 299 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbp)
(va_op_reg_opr64_reg64 rRdi) 16 Public ctx_b 2) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 301 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR13) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 303 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 304 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rR12)) (fun (va_s:va_state) _
-> let (h:int) = h_in in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 307 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) 0) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 309 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg39:Prims.int) = r in let (va_arg38:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n) in let (va_arg37:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 310 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg37 va_arg38 va_arg39
va_arg40 0) (va_QEmpty (())))) (let (word_index:nat) = 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 315 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_while0 va_old_s ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 374 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR14) 0 Public ctx_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 375 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbx) 8 Public ctx_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 376 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbp) 16 Public ctx_b 2) (va_QEmpty ((h)))))))))))))))))))))
val va_lemma_Poly1305_blocks : va_b0:va_code -> va_s0:va_state -> r:int -> h_in:int ->
ctx_b:buffer64 -> inp_b:buffer64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64 rRdx va_s0 `op_Modulus` 16 == 0 /\
va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 < pow2_64 /\ Vale.X64.Decls.validDstAddrs64
(va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) ctx_b 24 (va_get_mem_layout va_s0)
Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0)
inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout va_s0) Public /\ (let h0_in
= Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_s0) in let h1_in =
Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_s0) in let h2_in =
Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_s0) in let r0_in =
Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_s0) in let r1_in =
Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_s0) in h_in == va_mul_nat h2_in
(va_mul_nat n n) + va_mul_nat h1_in n + h0_in /\ r == va_mul_nat r1_in n + r0_in /\ r0_in < n
`op_Division` 16 /\ r1_in < n `op_Division` 16 /\ r1_in `op_Modulus` 4 == 0 /\ h2_in < 5 /\
va_get_reg64 rRcx va_s0 < 2))))
(ensures (fun (va_sM, va_fM, h) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64
rRbp va_sM < 5 /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64
rRdi va_sM) ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0
`op_Division` 8) (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.modifies_buffer_specific
ctx_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM) 0 2 /\ va_get_reg64 rR14 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbx va_sM
== Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbp va_sM
== Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR11 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR12 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR13 va_sM
== va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRsi va_sM
== va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRcx va_sM == va_get_reg64
rRcx va_s0 /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 /\ (let r0_in =
Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) in let r1_in =
Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) in h == va_mul_nat
(va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM)
pow2_64 + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0 `op_Division` 8))) /\ va_state_eq
va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rRax va_sM (va_update_reg64 rRbp 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_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx 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_Poly1305_blocks va_b0 va_s0 r h_in ctx_b inp_b =
let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64
rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rRdx; va_Mod_reg64 rRsi; va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_Poly1305_blocks va_mods r h_in ctx_b inp_b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let h = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in label
va_range1
"***** POSTCONDITION NOT MET AT line 264 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 265 column 66 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) ctx_b 24
(va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 266 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_s0) inp_b
(va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 267 column 65 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific ctx_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet
1 va_sM) 0 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 268 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR14 va_sM == Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 269 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 270 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM == Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 271 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 272 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM == Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 273 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 274 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 277 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 278 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 280 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) in label
va_range1
"***** POSTCONDITION NOT MET AT line 281 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) in label
va_range1
"***** POSTCONDITION NOT MET AT line 282 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 283 column 118 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0
`op_Division` 8)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_ok; va_Mod_mem]) va_sM va_s0;
let h = va_g in
(va_sM, va_fM, h)
[@ va_qattr]
let va_wp_Poly1305_blocks (r:int) (h_in:int) (ctx_b:buffer64) (inp_b:buffer64) (va_s0:va_state)
(va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64
rRdx va_s0 `op_Modulus` 16 == 0 /\ va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 < pow2_64
/\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) ctx_b
24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0
va_s0) (va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8)
(va_get_mem_layout va_s0) Public /\ (let h0_in = Vale.X64.Decls.buffer64_read ctx_b 0
(va_get_mem_heaplet 1 va_s0) in let h1_in = Vale.X64.Decls.buffer64_read ctx_b 1
(va_get_mem_heaplet 1 va_s0) in let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2
(va_get_mem_heaplet 1 va_s0) in let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3
(va_get_mem_heaplet 1 va_s0) in let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4
(va_get_mem_heaplet 1 va_s0) in h_in == va_mul_nat h2_in (va_mul_nat n n) + va_mul_nat h1_in n
+ h0_in /\ r == va_mul_nat r1_in n + r0_in /\ r0_in < n `op_Division` 16 /\ r1_in < n
`op_Division` 16 /\ r1_in `op_Modulus` 4 == 0 /\ h2_in < 5 /\ va_get_reg64 rRcx va_s0 < 2)) /\
(forall (va_x_mem:vale_heap) (va_x_rsi:nat64) (va_x_rdx:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_r10:nat64) (va_x_r11:nat64) (va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64)
(va_x_rbx:nat64) (va_x_rbp:nat64) (va_x_rax:nat64) (va_x_r15:nat64) (va_x_efl:Vale.X64.Flags.t)
(va_x_heap1:vale_heap) (h:int) . let va_sM = va_upd_mem_heaplet 1 va_x_heap1 (va_upd_flags
va_x_efl (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRbp va_x_rbp
(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_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRsi va_x_rsi (va_upd_mem va_x_mem va_s0))))))))))))))) in va_get_ok va_sM /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64 rRbp va_sM < 5 /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) ctx_b 24
(va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM)
(va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout
va_sM) Public /\ Vale.X64.Decls.modifies_buffer_specific ctx_b (va_get_mem_heaplet 1 va_s0)
(va_get_mem_heaplet 1 va_sM) 0 2 /\ va_get_reg64 rR14 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 0 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbx va_sM == Vale.X64.Decls.buffer64_read
ctx_b 1 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbp va_sM == Vale.X64.Decls.buffer64_read
ctx_b 2 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 3 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR12 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 4 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM +
va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 +
va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0 /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_s0 /\ (let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3
(va_get_mem_heaplet 1 va_sM) in let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4
(va_get_mem_heaplet 1 va_sM) in h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64
pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0
`op_Division` 8))) ==> va_k va_sM ((h))))
val va_wpProof_Poly1305_blocks : r:int -> h_in:int -> ctx_b:buffer64 -> inp_b:buffer64 ->
va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks r h_in ctx_b inp_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks ())
([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi;
va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks r h_in ctx_b inp_b va_s0 va_k =
let (va_sM, va_f0, h) = va_lemma_Poly1305_blocks (va_code_Poly1305_blocks ()) va_s0 r h_in ctx_b
inp_b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM (va_update_reg64
rR15 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRbp 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_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx 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_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_mem]) va_sM va_s0;
let va_g = (h) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks (r:int) (h_in:int) (ctx_b:buffer64) (inp_b:buffer64) : (va_quickCode
int (va_code_Poly1305_blocks ())) =
(va_QProc (va_code_Poly1305_blocks ()) ([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15;
va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_mem]) (va_wp_Poly1305_blocks r h_in ctx_b inp_b)
(va_wpProof_Poly1305_blocks r h_in ctx_b inp_b))
//--
//-- Poly1305_last_block
val va_code_Poly1305_last_block : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_last_block () =
(va_Block (va_CCons (va_IfElse (va_cmp_lt (va_op_cmp_reg64 rR15) (va_const_cmp 8)) (va_Block
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_CCons
(va_code_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_CCons (va_code_Shl64
(va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Sub64
(va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ())))))))))))))))) (va_Block
(va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx)
(va_op_opr64_reg64 rR15)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64
8)) (va_CCons (va_code_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_CCons (va_code_Shl64
(va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (va_CCons (va_Block (va_CNil ()))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))))))))))) (va_CCons
(va_code_Poly1305_iteration ()) (va_CNil ()))))
val va_codegen_success_Poly1305_last_block : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_last_block () =
(va_pbool_and (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx)
(va_op_opr64_reg64 rR15)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRcx)
(va_const_shift_amt64 3)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx)
(va_const_opr64 1)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRdx)
(va_op_shift_amt64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRcx) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64
rRcx) (va_const_opr64 1)) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9)
(va_const_opr64 0)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_pbool_and
(va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 8)) (va_pbool_and
(va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_pbool_and
(va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64
rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRdx)) (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_const_opr64 0))))))))))))))))))))))))))))) (va_pbool_and
(va_codegen_success_Poly1305_iteration ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_last_block (va_mods:va_mods_t) : (va_quickCode unit
(va_code_Poly1305_last_block ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r1:nat64) = va_get_reg64 rRax va_s in let
(r:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s) r1 in
let (hBlocks:Prims.int) = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s) (va_get_reg64 rRbx va_s)) (va_get_reg64 rRbp va_s) in let
(inpLast:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s)
(va_get_reg64 rR9 va_s) in let (padLast:Prims.pos) = Prims.pow2 (va_get_reg64 rR15 va_s
`op_Multiply` 8) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 409 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_qIf va_mods (Cmp_lt (va_op_cmp_reg64 rR15) (va_const_cmp 8)) (qblock va_mods (fun
(va_s:va_state) -> let (va_arg78:Vale.Def.Types_s.nat64) = va_get_reg64 rR15 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 410 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_shift_power2 va_arg78) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 412 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 413 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 414 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (fun
(va_s:va_state) _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 415 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdx va_s == padLast) (let (va_arg77:Vale.Def.Types_s.nat64) = va_get_reg64 rR15
va_s in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 417 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_and_mod va_arg76 va_arg77) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 419 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(padLast == Vale.Poly1305.Math.shift_left64 1 (Vale.Poly1305.Math.shift_left64 (va_get_reg64
rR15 va_s) 3)) (let (va_arg75:Prims.int) = Prims.pow2 (va_get_reg64 rR15 va_s `op_Multiply` 8)
in let (va_arg74:Prims.int) = va_get_reg64 rR15 va_s in let (va_arg73:Vale.Def.Types_s.nat64) =
va_get_reg64 rR9 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 420 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mod_power2_lo va_arg72 va_arg73 va_arg74 va_arg75)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 421 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 422 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 425 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR8 va_s == va_get_reg64 rR8 va_old_s `op_Modulus` padLast) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 426 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) == inpLast
`op_Modulus` padLast) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 429 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 430 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 431 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 433 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 434 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 435 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QEmpty
(())))))))))))))))))))))))) (qblock va_mods (fun (va_s:va_state) -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 437 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_s - 8 >= 0 /\ va_get_reg64 rR15 va_s - 8 <= 255) (fun _ -> let
(nExtra8:nat8) = va_get_reg64 rR15 va_s - 8 in let (va_arg85:Vale.Def.Types_s.nat64) = nExtra8
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_shift_power2 va_arg85) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 441 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 442 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 443 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (fun
(va_s:va_state) _ -> va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 445 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(padLast == Vale.Poly1305.Math.lowerUpper128 0 (va_get_reg64 rRdx va_s)) (let
(va_arg84:Prims.nat) = 8 `op_Multiply` nExtra8 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 446 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_power2_add64 va_arg84) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 447 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (())))) (let
(va_arg83:Vale.Def.Types_s.nat64) = nExtra8 in let (va_arg82:Vale.Def.Types_s.nat64) =
va_get_reg64 rR9 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 451 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_and_mod va_arg82 va_arg83) (va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 452 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Prims.pow2 (8 `op_Multiply` nExtra8) >= 0 /\ Prims.pow2 (8 `op_Multiply` nExtra8) <=
18446744073709551615) (fun _ -> let (va_arg81:Vale.Def.Types_s.nat64) = Prims.pow2 (8
`op_Multiply` nExtra8) in let (va_arg80:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let
(va_arg79:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 452 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mod_hi va_arg79 va_arg80 va_arg81) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 453 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 454 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 455 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ ->
va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 456 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) == inpLast
`op_Modulus` padLast) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 459 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 460 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 461 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 463 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 464 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 465 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QEmpty
(()))))))))))))))))))))))))) (fun (va_s:va_state) va_g -> let (h:int) = hBlocks + inpLast
`op_Modulus` padLast + padLast in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 469 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx
va_s) n + va_get_reg64 rR14 va_s) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 469 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper192_reveal ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 469 column 93 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (())))) (va_qAssertBy
va_range1
"***** PRECONDITION NOT MET AT line 470 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(r == va_mul_nat r1 n + va_get_reg64 rR11 va_s) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 470 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (()))) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 471 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration r1) (fun (va_s:va_state) (hLast:int) -> va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 472 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hLast == Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14
va_s) (va_get_reg64 rRbx va_s)) (va_get_reg64 rRbp va_s)) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 472 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper192_reveal ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 472 column 111 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (())))) (let
(va_arg71:Prims.int) = r in let (va_arg70:Prims.int) = inpLast `op_Modulus` padLast + padLast
in let (va_arg69:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 473 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg69 hBlocks va_arg70 va_arg71)
(va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 474 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp ((Vale.Poly1305.Spec_s.modp
hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply` r)) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 474 column 90 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_QEmpty (()))) (va_QEmpty (()))))))))))
val va_lemma_Poly1305_last_block : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Poly1305_last_block ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in
va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n
`op_Division` 16 /\ r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division`
4 /\ (1 <= va_get_reg64 rR15 va_s0 /\ va_get_reg64 rR15 va_s0 < 16))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in
va_get_reg64 rRbp va_sM < 5 /\ (let padLast = Prims.pow2 (va_get_reg64 rR15 va_sM `op_Multiply`
8) in let hLast = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM)) (va_get_reg64 rRbp va_sM) in
Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp ((Vale.Poly1305.Spec_s.modp
hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply` r))) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_last_block va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_last_block va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_last_block ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 380 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in label
va_range1
"***** POSTCONDITION NOT MET AT line 402 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let padLast = Prims.pow2 (va_get_reg64 rR15 va_sM `op_Multiply` 8) in label va_range1
"***** POSTCONDITION NOT MET AT line 404 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let hLast = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64
rR14 va_sM) (va_get_reg64 rRbx va_sM)) (va_get_reg64 rRbp va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 405 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp ((Vale.Poly1305.Spec_s.modp
hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply` r)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Poly1305_last_block (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in
va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n
`op_Division` 16 /\ r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division`
4 /\ (1 <= va_get_reg64 rR15 va_s0 /\ va_get_reg64 rR15 va_s0 < 16)) /\ (forall
(va_x_rax:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64) (va_x_efl:Vale.X64.Flags.t)
. let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax
va_s0))))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r1:nat64) = va_get_reg64 rRax va_s0 in let
(r:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in
let (hBlocks:Prims.int) = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let
(inpLast:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0)
(va_get_reg64 rR9 va_s0) in va_get_reg64 rRbp va_sM < 5 /\ (let padLast = Prims.pow2
(va_get_reg64 rR15 va_sM `op_Multiply` 8) in let hLast = Vale.Poly1305.Math.lowerUpper192
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM))
(va_get_reg64 rRbp va_sM) in Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp
((Vale.Poly1305.Spec_s.modp hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply`
r))) ==> va_k va_sM (())))
val va_wpProof_Poly1305_last_block : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_last_block va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_last_block ())
([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10;
va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_last_block va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Poly1305_last_block (va_code_Poly1305_last_block ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_last_block () : (va_quickCode unit (va_code_Poly1305_last_block ())) =
(va_QProc (va_code_Poly1305_last_block ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Poly1305_last_block va_wpProof_Poly1305_last_block)
//--
//-- Poly1305_reduce_last
val va_code_Poly1305_reduce_last : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce_last () =
(va_Block (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rR14))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_const_opr64 5)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Shr64
(va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Sub64Wrap
(va_op_dst_opr64_reg64 rRax) (va_const_opr64 1)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Sub64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Add64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Add64
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_CNil ())))))))))))))))))))
val va_codegen_success_Poly1305_reduce_last : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce_last () =
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rR14))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_const_opr64 5))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rRax) (va_const_opr64 1))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0))
(va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRax)) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64
rRax)) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64
rR8)) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR9)) (va_ttrue ()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce_last (va_mods:va_mods_t) : (va_quickCode unit
(va_code_Poly1305_reduce_last ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s)
(va_get_reg64 rRbx va_s)) (va_get_reg64 rRbp va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 490 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 492 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 493 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 494 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 495 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_const_opr64 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 496 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 497 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 499 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h + 5 == Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8
va_s) (va_get_reg64 rR9 va_s)) (va_get_reg64 rR10 va_s)) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 500 column 34 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 500 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper192_reveal ()) (va_QEmpty (())))) (let
(va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let
(va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let
(va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg29:Prims.int) = h + 5
in let (va_arg28:Vale.Def.Types_s.nat64) = va_get_reg64 rR14 va_old_s in let
(va_arg27:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_old_s in let
(va_arg26:Vale.Def.Types_s.nat64) = va_get_reg64 rRbp va_old_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 501 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_reduce128 h va_arg26 va_arg27 va_arg28 va_arg29
va_arg30 va_arg31 va_arg32) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 503 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 505 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 506 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rRax) (va_const_opr64 1)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 508 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 509 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 511 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 512 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 514 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 515 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 518 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 519 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QEmpty
(())))))))))))))))))))))))
val va_lemma_Poly1305_reduce_last : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce_last ()) va_s0 /\ va_get_ok va_s0 /\
(let (h:Prims.int) = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in va_get_reg64
rRbp va_s0 < 5)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h:Prims.int) = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM) ==
Vale.Poly1305.Spec_s.mod2_128 (Vale.Poly1305.Spec_s.modp h)) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce_last va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rRax; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce_last va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce_last ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 478 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (h:Prims.int) = Vale.Poly1305.Math.lowerUpper192
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0))
(va_get_reg64 rRbp va_s0) in label va_range1
"***** POSTCONDITION NOT MET AT line 488 column 51 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM) ==
Vale.Poly1305.Spec_s.mod2_128 (Vale.Poly1305.Spec_s.modp h)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rRax; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Poly1305_reduce_last (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (h:Prims.int) = Vale.Poly1305.Math.lowerUpper192
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0))
(va_get_reg64 rRbp va_s0) in va_get_reg64 rRbp va_s0 < 5) /\ (forall (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_rax:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64
rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rRax
va_x_rax (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8
va_s0))))))) in va_get_ok va_sM /\ (let (h:Prims.int) = Vale.Poly1305.Math.lowerUpper192
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0))
(va_get_reg64 rRbp va_s0) in Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM)
(va_get_reg64 rRbx va_sM) == Vale.Poly1305.Spec_s.mod2_128 (Vale.Poly1305.Spec_s.modp h)) ==>
va_k va_sM (())))
val va_wpProof_Poly1305_reduce_last : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce_last va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce_last ())
([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rRax;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce_last va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Poly1305_reduce_last (va_code_Poly1305_reduce_last ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rR10 va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rRax; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce_last () : (va_quickCode unit (va_code_Poly1305_reduce_last ())) =
(va_QProc (va_code_Poly1305_reduce_last ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rRax; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_wp_Poly1305_reduce_last va_wpProof_Poly1305_reduce_last)
//--
//-- Poly1305_add_key_s
val va_code_Poly1305_add_key_s : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_add_key_s () =
(va_Block (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRdx)) (va_CNil
()))))
val va_codegen_success_Poly1305_add_key_s : va_dummy:unit -> Tot va_pbool | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.X64.Decls.va_pbool | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.X64.Decls.va_pbool_and",
"Vale.X64.InsBasic.va_codegen_success_Add64Wrap",
"Vale.X64.Decls.va_op_dst_opr64_reg64",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Decls.va_op_opr64_reg64",
"Vale.X64.Machine_s.rRax",
"Vale.X64.InsBasic.va_codegen_success_Adc64Wrap",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Decls.va_ttrue",
"Vale.X64.Decls.va_pbool"
] | [] | false | false | false | true | false | let va_codegen_success_Poly1305_add_key_s () =
| (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rRdx))
(va_ttrue ()))) | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_wp_Poly1305_add_key_s | val va_wp_Poly1305_add_key_s (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 | val va_wp_Poly1305_add_key_s (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 | let va_wp_Poly1305_add_key_s (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (forall (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 va_s0))
in va_get_ok va_sM /\ (let (h_in:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0) in let (key_s:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rRax va_s0) (va_get_reg64 rRdx va_s0) in
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM) ==
Vale.Poly1305.Spec_s.mod2_128 (h_in + key_s)) ==> va_k va_sM (()))) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 71,
"end_line": 2281,
"start_col": 0,
"start_line": 2274
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce)
//--
//-- Poly1305_iteration
val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_iteration () =
(va_Block (va_CCons (va_code_Poly1305_multiply ()) (va_CCons (va_code_Poly1305_reduce ())
(va_CNil ()))))
val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_iteration () =
(va_pbool_and (va_codegen_success_Poly1305_multiply ()) (va_pbool_and
(va_codegen_success_Poly1305_reduce ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_iteration (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_iteration ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in let (va_arg50:Prims.int) = n `op_Division` 16 in let
(va_arg49:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg48:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg48 7 va_arg49 va_arg50)
(let (va_arg47:Prims.int) = n `op_Division` 16 in let (va_arg46:Prims.int) = r1 in let
(va_arg45:Prims.int) = n in let (va_arg44:Prims.int) = va_get_reg64 rR14 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 211 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg44 va_arg45 va_arg46
va_arg47) (let (va_arg43:Prims.int) = n `op_Division` 16 in let (va_arg42:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg41:Prims.int) = n in let (va_arg40:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg40 va_arg41 va_arg42
va_arg43) (let (va_arg39:Prims.int) = n `op_Division` 8 in let (va_arg38:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg37:Prims.int) = n in let (va_arg36:Prims.int) =
va_get_reg64 rRbp va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg36 va_arg37 va_arg38
va_arg39) (let (va_arg35:Prims.int) = n `op_Division` 16 in let (va_arg34:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg33:Prims.int) = n in let (va_arg32:Prims.int) =
va_get_reg64 rR14 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg32 va_arg33 va_arg34
va_arg35) (let (va_arg31:Prims.int) = n `op_Division` 8 in let (va_arg30:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg29:Prims.int) = n in let (va_arg28:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg28 va_arg29 va_arg30
va_arg31) (let (va_arg27:Prims.int) = 5 `op_Multiply` n `op_Division` 64 in let
(va_arg26:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg25:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg25 7 va_arg26 va_arg27)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 218 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_multiply r1) (fun (va_s:va_state) (hd:int) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_reduce ()) (fun (va_s:va_state) (hh:int) -> va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 220 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 221 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(l_and (hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_s) + va_mul_nat n (va_get_reg64
rRbx va_s) + va_get_reg64 rR14 va_s) (va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p))
(va_QEmpty ((hh)))))))))))))))
val va_lemma_Poly1305_iteration : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_iteration ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp (va_mul_nat h r) ==
Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_iteration va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_iteration va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_iteration ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 180 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 201 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp (va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_iteration (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1) /\ (forall (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp
(va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_iteration : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_iteration r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_iteration ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_iteration r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_iteration (va_code_Poly1305_iteration ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_iteration (r1:nat64) : (va_quickCode int (va_code_Poly1305_iteration ())) =
(va_QProc (va_code_Poly1305_iteration ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRax]) (va_wp_Poly1305_iteration r1) (va_wpProof_Poly1305_iteration r1))
//--
//-- Poly1305_blocks_body0
val va_code_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_body0 () =
(va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Public))
(va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_CCons
(va_code_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (va_CCons
(va_code_Poly1305_iteration ()) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64
1)) (va_CNil ())))))))))))
val va_codegen_success_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_body0 () =
(va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0)
(va_op_reg64_reg64 rRsi) 0 Public)) (va_pbool_and (va_codegen_success_Mem64_lemma ())
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64
(va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_pbool_and
(va_codegen_success_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi)
(va_const_opr64 16)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Poly1305_iteration ())
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1))
(va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_body0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in let (nn:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (hp:int) = h in let (h:int) = h +
va_mul_nat (va_mul_nat nn nn) (va_get_reg64 rRcx va_s) + va_mul_nat nn
(Vale.X64.Decls.buffer64_read inp_b (word_index + 1) (va_get_mem_heaplet 0 va_s)) +
Vale.X64.Decls.buffer64_read inp_b word_index (va_get_mem_heaplet 0 va_s) in let (hq:int) = h
in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inp_b word_index
Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 0 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inp_b
(word_index + 1) Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 355 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 356 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state)
_ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 358 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hq == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat nn nn) + va_mul_nat (va_get_reg64 rRbx
va_s) nn + va_get_reg64 rR14 va_s) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 360 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration (va_get_reg64 rR12 va_s)) (fun (va_s:va_state) (h:int) -> va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 362 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 363 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1)) (fun (va_s:va_state) _ -> let
(word_index:nat) = word_index + 2 in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 366 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index) (let
(va_arg50:Prims.int) = word_index in let (va_arg49:(FStar.Seq.Base.seq Vale.X64.Memory.nat64))
= Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b in let (va_arg48:Prims.int)
= r in let (va_arg47:Prims.int) = va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let
(va_arg46:Prims.int) = Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 368 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg46 va_arg47 va_arg48
va_arg49 va_arg50) (let (va_arg45:Prims.int) = word_index - 2 in let
(va_arg44:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg43:Prims.int) = r in let (va_arg42:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let (va_arg41:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 369 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg41 va_arg42 va_arg43
va_arg44 va_arg45) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 370 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:Prims.int) = r in let (va_arg39:Prims.int) = hq - hp in let (va_arg38:Prims.int) = hp
in let (va_arg37:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg37 va_arg38 va_arg39 va_arg40)
(va_QEmpty (())))))) (va_QEmpty ((h, word_index)))))))))))))))
val va_lemma_Poly1305_blocks_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old /\ va_get_reg64 rR15 va_s0 =!= 0))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15
va_s0) /\ va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_body0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_body0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_body0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 345 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
va_get_reg64 rR15 va_s0 =!= 0 /\ (forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_rax:nat64) (va_x_rbp:nat64) (va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int)
(word_index:nat) . let va_sM = va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64
rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10 (va_upd_ok va_x_ok (va_upd_flags va_x_efl
va_s0))))))))))) in va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n ==
va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\
va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h ==
va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64
rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12
va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64
rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM ==
va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM
== va_get_reg64 rRsi va_old + va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64
/\ va_in_length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8
`op_Multiply` (word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8
`op_Multiply` word_index == va_in_length /\ va_get_reg64 rRsi va_sM + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) +
8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_sM < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM)
(va_get_reg64 rRdi va_sM) va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old /\
precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_body0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int ->
va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_body0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_body0 (va_code_Poly1305_blocks_body0
()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r
va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_body0 ())) =
(va_QProc (va_code_Poly1305_blocks_body0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64
rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks_while0
val va_code_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_while0 () =
(va_Block (va_CCons (va_While (va_cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (va_Block
(va_CCons (va_code_Poly1305_blocks_body0 ()) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_while0 () =
(va_pbool_and (va_codegen_success_Poly1305_blocks_body0 ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_while0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_qWhile va_mods (Cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (fun va_g -> let (h:int) =
let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g in
word_index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_body0 va_old ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QEmpty ((h, word_index))))) (fun
(va_s:va_state) va_g -> let (h:int) = let (h, word_index) = va_g in h in let (word_index:nat) =
let (h, word_index) = va_g in word_index in va_get_ok va_s /\ n == pow2_64 /\ va_mul_nat n n ==
va_mul_nat pow2_64 pow2_64 /\ p == va_mul_nat n n `op_Multiply` 4 - 5 /\ r == va_mul_nat
(va_get_reg64 rR12 va_s) n + va_get_reg64 rR11 va_s /\ h == va_mul_nat (va_get_reg64 rRbp va_s)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s) pow2_64 + va_get_reg64 rR14
va_s /\ va_get_reg64 rR11 va_s < n `op_Division` 16 /\ va_get_reg64 rR12 va_s < n `op_Division`
16 /\ va_get_reg64 rR12 va_s `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s == va_get_reg64 rR12
va_s + va_get_reg64 rR12 va_s `op_Division` 4 /\ va_get_reg64 rRbp va_s < 5 /\ va_get_reg64
rRax va_s == va_get_reg64 rR12 va_s /\ va_get_reg64 rRsi va_s + 16 `op_Multiply` va_get_reg64
rR15 va_s == va_get_reg64 rRsi va_old + length /\ va_get_reg64 rRsi va_old + length < pow2_64
/\ length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s =!= 0 ==> 8 `op_Multiply`
(word_index + 1) <= length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s + 8 `op_Multiply`
word_index == length /\ va_get_reg64 rRsi va_s + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 inp_b (va_get_mem_heaplet 0 va_s) + 8 `op_Multiply` word_index /\
va_get_reg64 rR15 va_s `op_Multiply` 16 <= length /\ va_get_reg64 rRcx va_s < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s) (va_get_reg64 rRdi va_s) ctx_b 24
(va_get_mem_layout va_s) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s)
(va_get_reg64 rRsi va_old) inp_b (length `op_Division` 8) (va_get_mem_layout va_s) Public /\
va_get_reg64 rRdi va_s == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s == va_get_reg64
rRcx va_old /\ (va_get_reg64 rRsi va_s - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index /\
va_get_mem_heaplet 1 va_s == va_get_mem_heaplet 1 va_old) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in va_get_reg64 rR15 va_s) ((h, word_index))) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in let va_g = (h, word_index) in let ((h:int), (word_index:nat)) = va_g in
va_QEmpty ((h, word_index)))))
val va_lemma_Poly1305_blocks_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_while0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) /\ va_state_eq va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_while0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_while0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_while0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(~(va_get_reg64 rR15 va_sM =!= 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
(forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r14:nat64)
(va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_rax:nat64) (va_x_rbp:nat64)
(va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int) (word_index:nat) . let va_sM =
va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_ok va_x_ok (va_upd_flags va_x_efl va_s0))))))))))) in va_get_ok va_sM /\ va_in_n ==
pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat
va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n
+ va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64
pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\
va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM ==
va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM <
5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16
`op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ 16
`op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length /\
va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b
(va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM
`op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_while0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int
-> va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_while0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length
va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_while0
(va_code_Poly1305_blocks_while0 ()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_while0 ())) =
(va_QProc (va_code_Poly1305_blocks_while0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx;
va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks
val va_code_Poly1305_blocks : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks () =
(va_Block (va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi) 24 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRdi) 32
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rR14) (va_op_reg_opr64_reg64 rRdi) 0 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRdi) 8
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rRbp) (va_op_reg_opr64_reg64 rRdi) 16 Public) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rR12) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rR13)
(va_const_shift_amt64 2)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rR13)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Poly1305_blocks_while0 ()) (va_CCons
(va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR14) 0 Public) (va_CCons (va_code_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRbx) 8
Public) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64
rRdi) (va_op_reg_opr64_reg64 rRbp) 16 Public) (va_CNil ())))))))))))))))))
val va_codegen_success_Poly1305_blocks : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks () =
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx))
(va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdi) 24 Public) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13)
(va_op_reg_opr64_reg64 rRdi) 32 Public) (va_pbool_and (va_codegen_success_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR14) (va_op_reg_opr64_reg64 rRdi) 0
Public) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRdi) 8 Public) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbp)
(va_op_reg_opr64_reg64 rRdi) 16 Public) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Shr64
(va_op_dst_opr64_reg64 rR13) (va_const_shift_amt64 2)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_pbool_and (va_codegen_success_Add64
(va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rR12)) (va_pbool_and
(va_codegen_success_Poly1305_blocks_while0 ()) (va_pbool_and (va_codegen_success_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR14) 0
Public) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRbx) 8 Public) (va_pbool_and
(va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbp) 16 Public) (va_ttrue ()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks (va_mods:va_mods_t) (r:int) (h_in:int) (ctx_b:buffer64)
(inp_b:buffer64) : (va_quickCode (int) (va_code_Poly1305_blocks ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 285 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (let (length:int) = va_get_reg64 rRdx
va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 289 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 292 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 294 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi) 24 Public ctx_b 3) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 295 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13)
(va_op_reg_opr64_reg64 rRdi) 32 Public ctx_b 4) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 297 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR14)
(va_op_reg_opr64_reg64 rRdi) 0 Public ctx_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 298 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbx)
(va_op_reg_opr64_reg64 rRdi) 8 Public ctx_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 299 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbp)
(va_op_reg_opr64_reg64 rRdi) 16 Public ctx_b 2) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 301 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR13) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 303 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 304 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rR12)) (fun (va_s:va_state) _
-> let (h:int) = h_in in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 307 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) 0) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 309 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg39:Prims.int) = r in let (va_arg38:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n) in let (va_arg37:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 310 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg37 va_arg38 va_arg39
va_arg40 0) (va_QEmpty (())))) (let (word_index:nat) = 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 315 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_while0 va_old_s ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 374 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR14) 0 Public ctx_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 375 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbx) 8 Public ctx_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 376 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbp) 16 Public ctx_b 2) (va_QEmpty ((h)))))))))))))))))))))
val va_lemma_Poly1305_blocks : va_b0:va_code -> va_s0:va_state -> r:int -> h_in:int ->
ctx_b:buffer64 -> inp_b:buffer64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64 rRdx va_s0 `op_Modulus` 16 == 0 /\
va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 < pow2_64 /\ Vale.X64.Decls.validDstAddrs64
(va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) ctx_b 24 (va_get_mem_layout va_s0)
Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0)
inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout va_s0) Public /\ (let h0_in
= Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_s0) in let h1_in =
Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_s0) in let h2_in =
Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_s0) in let r0_in =
Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_s0) in let r1_in =
Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_s0) in h_in == va_mul_nat h2_in
(va_mul_nat n n) + va_mul_nat h1_in n + h0_in /\ r == va_mul_nat r1_in n + r0_in /\ r0_in < n
`op_Division` 16 /\ r1_in < n `op_Division` 16 /\ r1_in `op_Modulus` 4 == 0 /\ h2_in < 5 /\
va_get_reg64 rRcx va_s0 < 2))))
(ensures (fun (va_sM, va_fM, h) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64
rRbp va_sM < 5 /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64
rRdi va_sM) ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0
`op_Division` 8) (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.modifies_buffer_specific
ctx_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM) 0 2 /\ va_get_reg64 rR14 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbx va_sM
== Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbp va_sM
== Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR11 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR12 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR13 va_sM
== va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRsi va_sM
== va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRcx va_sM == va_get_reg64
rRcx va_s0 /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 /\ (let r0_in =
Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) in let r1_in =
Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) in h == va_mul_nat
(va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM)
pow2_64 + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0 `op_Division` 8))) /\ va_state_eq
va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rRax va_sM (va_update_reg64 rRbp 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_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx 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_Poly1305_blocks va_b0 va_s0 r h_in ctx_b inp_b =
let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64
rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rRdx; va_Mod_reg64 rRsi; va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_Poly1305_blocks va_mods r h_in ctx_b inp_b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let h = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in label
va_range1
"***** POSTCONDITION NOT MET AT line 264 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 265 column 66 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) ctx_b 24
(va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 266 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_s0) inp_b
(va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 267 column 65 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific ctx_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet
1 va_sM) 0 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 268 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR14 va_sM == Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 269 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 270 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM == Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 271 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 272 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM == Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 273 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 274 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 277 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 278 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 280 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) in label
va_range1
"***** POSTCONDITION NOT MET AT line 281 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) in label
va_range1
"***** POSTCONDITION NOT MET AT line 282 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 283 column 118 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0
`op_Division` 8)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_ok; va_Mod_mem]) va_sM va_s0;
let h = va_g in
(va_sM, va_fM, h)
[@ va_qattr]
let va_wp_Poly1305_blocks (r:int) (h_in:int) (ctx_b:buffer64) (inp_b:buffer64) (va_s0:va_state)
(va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64
rRdx va_s0 `op_Modulus` 16 == 0 /\ va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 < pow2_64
/\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) ctx_b
24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0
va_s0) (va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8)
(va_get_mem_layout va_s0) Public /\ (let h0_in = Vale.X64.Decls.buffer64_read ctx_b 0
(va_get_mem_heaplet 1 va_s0) in let h1_in = Vale.X64.Decls.buffer64_read ctx_b 1
(va_get_mem_heaplet 1 va_s0) in let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2
(va_get_mem_heaplet 1 va_s0) in let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3
(va_get_mem_heaplet 1 va_s0) in let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4
(va_get_mem_heaplet 1 va_s0) in h_in == va_mul_nat h2_in (va_mul_nat n n) + va_mul_nat h1_in n
+ h0_in /\ r == va_mul_nat r1_in n + r0_in /\ r0_in < n `op_Division` 16 /\ r1_in < n
`op_Division` 16 /\ r1_in `op_Modulus` 4 == 0 /\ h2_in < 5 /\ va_get_reg64 rRcx va_s0 < 2)) /\
(forall (va_x_mem:vale_heap) (va_x_rsi:nat64) (va_x_rdx:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_r10:nat64) (va_x_r11:nat64) (va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64)
(va_x_rbx:nat64) (va_x_rbp:nat64) (va_x_rax:nat64) (va_x_r15:nat64) (va_x_efl:Vale.X64.Flags.t)
(va_x_heap1:vale_heap) (h:int) . let va_sM = va_upd_mem_heaplet 1 va_x_heap1 (va_upd_flags
va_x_efl (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRbp va_x_rbp
(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_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRsi va_x_rsi (va_upd_mem va_x_mem va_s0))))))))))))))) in va_get_ok va_sM /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64 rRbp va_sM < 5 /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) ctx_b 24
(va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM)
(va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout
va_sM) Public /\ Vale.X64.Decls.modifies_buffer_specific ctx_b (va_get_mem_heaplet 1 va_s0)
(va_get_mem_heaplet 1 va_sM) 0 2 /\ va_get_reg64 rR14 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 0 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbx va_sM == Vale.X64.Decls.buffer64_read
ctx_b 1 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbp va_sM == Vale.X64.Decls.buffer64_read
ctx_b 2 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 3 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR12 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 4 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM +
va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 +
va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0 /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_s0 /\ (let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3
(va_get_mem_heaplet 1 va_sM) in let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4
(va_get_mem_heaplet 1 va_sM) in h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64
pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0
`op_Division` 8))) ==> va_k va_sM ((h))))
val va_wpProof_Poly1305_blocks : r:int -> h_in:int -> ctx_b:buffer64 -> inp_b:buffer64 ->
va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks r h_in ctx_b inp_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks ())
([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi;
va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks r h_in ctx_b inp_b va_s0 va_k =
let (va_sM, va_f0, h) = va_lemma_Poly1305_blocks (va_code_Poly1305_blocks ()) va_s0 r h_in ctx_b
inp_b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM (va_update_reg64
rR15 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRbp 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_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx 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_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_mem]) va_sM va_s0;
let va_g = (h) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks (r:int) (h_in:int) (ctx_b:buffer64) (inp_b:buffer64) : (va_quickCode
int (va_code_Poly1305_blocks ())) =
(va_QProc (va_code_Poly1305_blocks ()) ([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15;
va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_mem]) (va_wp_Poly1305_blocks r h_in ctx_b inp_b)
(va_wpProof_Poly1305_blocks r h_in ctx_b inp_b))
//--
//-- Poly1305_last_block
val va_code_Poly1305_last_block : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_last_block () =
(va_Block (va_CCons (va_IfElse (va_cmp_lt (va_op_cmp_reg64 rR15) (va_const_cmp 8)) (va_Block
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_CCons
(va_code_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_CCons (va_code_Shl64
(va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Sub64
(va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ())))))))))))))))) (va_Block
(va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx)
(va_op_opr64_reg64 rR15)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64
8)) (va_CCons (va_code_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_CCons (va_code_Shl64
(va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (va_CCons (va_Block (va_CNil ()))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))))))))))) (va_CCons
(va_code_Poly1305_iteration ()) (va_CNil ()))))
val va_codegen_success_Poly1305_last_block : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_last_block () =
(va_pbool_and (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx)
(va_op_opr64_reg64 rR15)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRcx)
(va_const_shift_amt64 3)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx)
(va_const_opr64 1)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRdx)
(va_op_shift_amt64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRcx) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64
rRcx) (va_const_opr64 1)) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9)
(va_const_opr64 0)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_pbool_and
(va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 8)) (va_pbool_and
(va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_pbool_and
(va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64
rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRdx)) (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_const_opr64 0))))))))))))))))))))))))))))) (va_pbool_and
(va_codegen_success_Poly1305_iteration ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_last_block (va_mods:va_mods_t) : (va_quickCode unit
(va_code_Poly1305_last_block ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r1:nat64) = va_get_reg64 rRax va_s in let
(r:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s) r1 in
let (hBlocks:Prims.int) = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s) (va_get_reg64 rRbx va_s)) (va_get_reg64 rRbp va_s) in let
(inpLast:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s)
(va_get_reg64 rR9 va_s) in let (padLast:Prims.pos) = Prims.pow2 (va_get_reg64 rR15 va_s
`op_Multiply` 8) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 409 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_qIf va_mods (Cmp_lt (va_op_cmp_reg64 rR15) (va_const_cmp 8)) (qblock va_mods (fun
(va_s:va_state) -> let (va_arg78:Vale.Def.Types_s.nat64) = va_get_reg64 rR15 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 410 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_shift_power2 va_arg78) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 412 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 413 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 414 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (fun
(va_s:va_state) _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 415 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdx va_s == padLast) (let (va_arg77:Vale.Def.Types_s.nat64) = va_get_reg64 rR15
va_s in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 417 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_and_mod va_arg76 va_arg77) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 419 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(padLast == Vale.Poly1305.Math.shift_left64 1 (Vale.Poly1305.Math.shift_left64 (va_get_reg64
rR15 va_s) 3)) (let (va_arg75:Prims.int) = Prims.pow2 (va_get_reg64 rR15 va_s `op_Multiply` 8)
in let (va_arg74:Prims.int) = va_get_reg64 rR15 va_s in let (va_arg73:Vale.Def.Types_s.nat64) =
va_get_reg64 rR9 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 420 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mod_power2_lo va_arg72 va_arg73 va_arg74 va_arg75)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 421 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 422 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 425 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR8 va_s == va_get_reg64 rR8 va_old_s `op_Modulus` padLast) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 426 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) == inpLast
`op_Modulus` padLast) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 429 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 430 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 431 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 433 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 434 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 435 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QEmpty
(())))))))))))))))))))))))) (qblock va_mods (fun (va_s:va_state) -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 437 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_s - 8 >= 0 /\ va_get_reg64 rR15 va_s - 8 <= 255) (fun _ -> let
(nExtra8:nat8) = va_get_reg64 rR15 va_s - 8 in let (va_arg85:Vale.Def.Types_s.nat64) = nExtra8
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_shift_power2 va_arg85) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 441 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 442 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 443 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (fun
(va_s:va_state) _ -> va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 445 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(padLast == Vale.Poly1305.Math.lowerUpper128 0 (va_get_reg64 rRdx va_s)) (let
(va_arg84:Prims.nat) = 8 `op_Multiply` nExtra8 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 446 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_power2_add64 va_arg84) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 447 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (())))) (let
(va_arg83:Vale.Def.Types_s.nat64) = nExtra8 in let (va_arg82:Vale.Def.Types_s.nat64) =
va_get_reg64 rR9 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 451 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_and_mod va_arg82 va_arg83) (va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 452 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Prims.pow2 (8 `op_Multiply` nExtra8) >= 0 /\ Prims.pow2 (8 `op_Multiply` nExtra8) <=
18446744073709551615) (fun _ -> let (va_arg81:Vale.Def.Types_s.nat64) = Prims.pow2 (8
`op_Multiply` nExtra8) in let (va_arg80:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let
(va_arg79:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 452 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mod_hi va_arg79 va_arg80 va_arg81) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 453 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 454 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 455 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ ->
va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 456 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) == inpLast
`op_Modulus` padLast) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 459 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 460 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 461 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 463 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 464 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 465 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QEmpty
(()))))))))))))))))))))))))) (fun (va_s:va_state) va_g -> let (h:int) = hBlocks + inpLast
`op_Modulus` padLast + padLast in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 469 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx
va_s) n + va_get_reg64 rR14 va_s) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 469 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper192_reveal ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 469 column 93 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (())))) (va_qAssertBy
va_range1
"***** PRECONDITION NOT MET AT line 470 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(r == va_mul_nat r1 n + va_get_reg64 rR11 va_s) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 470 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (()))) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 471 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration r1) (fun (va_s:va_state) (hLast:int) -> va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 472 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hLast == Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14
va_s) (va_get_reg64 rRbx va_s)) (va_get_reg64 rRbp va_s)) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 472 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper192_reveal ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 472 column 111 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (())))) (let
(va_arg71:Prims.int) = r in let (va_arg70:Prims.int) = inpLast `op_Modulus` padLast + padLast
in let (va_arg69:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 473 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg69 hBlocks va_arg70 va_arg71)
(va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 474 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp ((Vale.Poly1305.Spec_s.modp
hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply` r)) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 474 column 90 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_QEmpty (()))) (va_QEmpty (()))))))))))
val va_lemma_Poly1305_last_block : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Poly1305_last_block ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in
va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n
`op_Division` 16 /\ r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division`
4 /\ (1 <= va_get_reg64 rR15 va_s0 /\ va_get_reg64 rR15 va_s0 < 16))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in
va_get_reg64 rRbp va_sM < 5 /\ (let padLast = Prims.pow2 (va_get_reg64 rR15 va_sM `op_Multiply`
8) in let hLast = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM)) (va_get_reg64 rRbp va_sM) in
Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp ((Vale.Poly1305.Spec_s.modp
hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply` r))) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_last_block va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_last_block va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_last_block ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 380 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in label
va_range1
"***** POSTCONDITION NOT MET AT line 402 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let padLast = Prims.pow2 (va_get_reg64 rR15 va_sM `op_Multiply` 8) in label va_range1
"***** POSTCONDITION NOT MET AT line 404 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let hLast = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64
rR14 va_sM) (va_get_reg64 rRbx va_sM)) (va_get_reg64 rRbp va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 405 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp ((Vale.Poly1305.Spec_s.modp
hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply` r)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Poly1305_last_block (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in
va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n
`op_Division` 16 /\ r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division`
4 /\ (1 <= va_get_reg64 rR15 va_s0 /\ va_get_reg64 rR15 va_s0 < 16)) /\ (forall
(va_x_rax:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64) (va_x_efl:Vale.X64.Flags.t)
. let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax
va_s0))))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r1:nat64) = va_get_reg64 rRax va_s0 in let
(r:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in
let (hBlocks:Prims.int) = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let
(inpLast:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0)
(va_get_reg64 rR9 va_s0) in va_get_reg64 rRbp va_sM < 5 /\ (let padLast = Prims.pow2
(va_get_reg64 rR15 va_sM `op_Multiply` 8) in let hLast = Vale.Poly1305.Math.lowerUpper192
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM))
(va_get_reg64 rRbp va_sM) in Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp
((Vale.Poly1305.Spec_s.modp hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply`
r))) ==> va_k va_sM (())))
val va_wpProof_Poly1305_last_block : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_last_block va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_last_block ())
([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10;
va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_last_block va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Poly1305_last_block (va_code_Poly1305_last_block ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_last_block () : (va_quickCode unit (va_code_Poly1305_last_block ())) =
(va_QProc (va_code_Poly1305_last_block ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Poly1305_last_block va_wpProof_Poly1305_last_block)
//--
//-- Poly1305_reduce_last
val va_code_Poly1305_reduce_last : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce_last () =
(va_Block (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rR14))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_const_opr64 5)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Shr64
(va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Sub64Wrap
(va_op_dst_opr64_reg64 rRax) (va_const_opr64 1)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Sub64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Add64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Add64
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_CNil ())))))))))))))))))))
val va_codegen_success_Poly1305_reduce_last : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce_last () =
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rR14))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_const_opr64 5))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rRax) (va_const_opr64 1))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0))
(va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRax)) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64
rRax)) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64
rR8)) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR9)) (va_ttrue ()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce_last (va_mods:va_mods_t) : (va_quickCode unit
(va_code_Poly1305_reduce_last ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s)
(va_get_reg64 rRbx va_s)) (va_get_reg64 rRbp va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 490 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 492 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 493 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 494 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 495 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_const_opr64 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 496 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 497 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 499 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h + 5 == Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8
va_s) (va_get_reg64 rR9 va_s)) (va_get_reg64 rR10 va_s)) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 500 column 34 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 500 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper192_reveal ()) (va_QEmpty (())))) (let
(va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let
(va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let
(va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg29:Prims.int) = h + 5
in let (va_arg28:Vale.Def.Types_s.nat64) = va_get_reg64 rR14 va_old_s in let
(va_arg27:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_old_s in let
(va_arg26:Vale.Def.Types_s.nat64) = va_get_reg64 rRbp va_old_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 501 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_reduce128 h va_arg26 va_arg27 va_arg28 va_arg29
va_arg30 va_arg31 va_arg32) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 503 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 505 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 506 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rRax) (va_const_opr64 1)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 508 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 509 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 511 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 512 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 514 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 515 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 518 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 519 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QEmpty
(())))))))))))))))))))))))
val va_lemma_Poly1305_reduce_last : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce_last ()) va_s0 /\ va_get_ok va_s0 /\
(let (h:Prims.int) = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in va_get_reg64
rRbp va_s0 < 5)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h:Prims.int) = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM) ==
Vale.Poly1305.Spec_s.mod2_128 (Vale.Poly1305.Spec_s.modp h)) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce_last va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rRax; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce_last va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce_last ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 478 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (h:Prims.int) = Vale.Poly1305.Math.lowerUpper192
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0))
(va_get_reg64 rRbp va_s0) in label va_range1
"***** POSTCONDITION NOT MET AT line 488 column 51 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM) ==
Vale.Poly1305.Spec_s.mod2_128 (Vale.Poly1305.Spec_s.modp h)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rRax; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Poly1305_reduce_last (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (h:Prims.int) = Vale.Poly1305.Math.lowerUpper192
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0))
(va_get_reg64 rRbp va_s0) in va_get_reg64 rRbp va_s0 < 5) /\ (forall (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_rax:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64
rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rRax
va_x_rax (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8
va_s0))))))) in va_get_ok va_sM /\ (let (h:Prims.int) = Vale.Poly1305.Math.lowerUpper192
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0))
(va_get_reg64 rRbp va_s0) in Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM)
(va_get_reg64 rRbx va_sM) == Vale.Poly1305.Spec_s.mod2_128 (Vale.Poly1305.Spec_s.modp h)) ==>
va_k va_sM (())))
val va_wpProof_Poly1305_reduce_last : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce_last va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce_last ())
([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rRax;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce_last va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Poly1305_reduce_last (va_code_Poly1305_reduce_last ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rR10 va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rRax; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce_last () : (va_quickCode unit (va_code_Poly1305_reduce_last ())) =
(va_QProc (va_code_Poly1305_reduce_last ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rRax; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_wp_Poly1305_reduce_last va_wpProof_Poly1305_reduce_last)
//--
//-- Poly1305_add_key_s
val va_code_Poly1305_add_key_s : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_add_key_s () =
(va_Block (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRdx)) (va_CNil
()))))
val va_codegen_success_Poly1305_add_key_s : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_add_key_s () =
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64
rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rRdx)) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_add_key_s (va_mods:va_mods_t) : (va_quickCode unit
(va_code_Poly1305_add_key_s ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h_in:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s)
(va_get_reg64 rRbx va_s) in let (key_s:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rRax va_s) (va_get_reg64 rRdx va_s) in va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 536 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 537 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRdx)) (fun (va_s:va_state)
_ -> let (va_arg18:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in let
(va_arg17:Vale.Def.Types_s.nat64) = va_get_reg64 rR14 va_s in let (va_arg16:Prims.int) = key_s
in let (va_arg15:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let
(va_arg14:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg13:Prims.int) = h_in
in let (va_arg12:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_old_s in let
(va_arg11:Vale.Def.Types_s.nat64) = va_get_reg64 rR14 va_old_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 539 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_add_key va_arg11 va_arg12 va_arg13 va_arg14 va_arg15
va_arg16 va_arg17 va_arg18) (va_QEmpty (()))))))
val va_lemma_Poly1305_add_key_s : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Poly1305_add_key_s ()) va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h_in:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14
va_s0) (va_get_reg64 rRbx va_s0) in let (key_s:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rRax va_s0) (va_get_reg64 rRdx va_s0) in
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM) ==
Vale.Poly1305.Spec_s.mod2_128 (h_in + key_s)) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_ok va_sM va_s0))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_add_key_s va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_add_key_s va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_add_key_s ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 523 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (h_in:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0) in let (key_s:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rRax va_s0) (va_get_reg64 rRdx va_s0) in label
va_range1
"***** POSTCONDITION NOT MET AT line 534 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM) ==
Vale.Poly1305.Spec_s.mod2_128 (h_in + key_s)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM) | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0)
-> Type0 | Prims.Tot | [
"total"
] | [] | [
"Vale.X64.Decls.va_state",
"Prims.unit",
"Prims.l_and",
"Prims.b2t",
"Vale.X64.Decls.va_get_ok",
"Prims.l_Forall",
"Vale.X64.Memory.nat64",
"Vale.X64.Flags.t",
"Prims.l_imp",
"Prims.eq2",
"Prims.int",
"Vale.Poly1305.Math.lowerUpper128",
"Vale.X64.Decls.va_get_reg64",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Machine_s.rRbx",
"Vale.Poly1305.Spec_s.mod2_128",
"Prims.op_Addition",
"Vale.Def.Words_s.nat128",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.State.vale_state",
"Vale.X64.Decls.va_upd_flags",
"Vale.X64.Decls.va_upd_reg64"
] | [] | false | false | false | true | true | let va_wp_Poly1305_add_key_s (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 =
| (va_get_ok va_s0 /\
(forall (va_x_r14: nat64) (va_x_rbx: nat64) (va_x_efl: Vale.X64.Flags.t).
let va_sM =
va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 va_s0))
in
va_get_ok va_sM /\
(let h_in:Vale.Def.Words_s.nat128 =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0)
in
let key_s:Vale.Def.Words_s.nat128 =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rRax va_s0) (va_get_reg64 rRdx va_s0)
in
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM) ==
Vale.Poly1305.Spec_s.mod2_128 (h_in + key_s)) ==>
va_k va_sM (()))) | false |
FStar.Math.Lemmas.fst | FStar.Math.Lemmas.lemma_mult_lt_sqr | val lemma_mult_lt_sqr (n m: nat) (k: nat{n < k && m < k}) : Lemma (n * m < k * k) | val lemma_mult_lt_sqr (n m: nat) (k: nat{n < k && m < k}) : Lemma (n * m < k * k) | let lemma_mult_lt_sqr (n:nat) (m:nat) (k:nat{n < k && m < k})
: Lemma (n * m < k * k) =
calc (<=) {
n * m;
<= { lemma_mult_le_left n m (k - 1) }
n * (k - 1);
<= { lemma_mult_le_right (k - 1) n (k - 1) }
(k - 1) * (k - 1);
<= {}
k*k - 1;
} | {
"file_name": "ulib/FStar.Math.Lemmas.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 3,
"end_line": 63,
"start_col": 0,
"start_line": 53
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Math.Lemmas
open FStar.Mul
open FStar.Math.Lib
#push-options "--fuel 0 --ifuel 0"
(* Lemma: definition of Euclidean division *)
val euclidean_div_axiom: a:int -> b:pos -> Lemma
(a - b * (a / b) >= 0 /\ a - b * (a / b) < b)
let euclidean_div_axiom a b = ()
val lemma_eucl_div_bound: a:int -> b:int -> q:int -> Lemma
(requires (a < q))
(ensures (a + q * b < q * (b+1)))
let lemma_eucl_div_bound a b q = ()
val lemma_mult_le_left: a:nat -> b:int -> c:int -> Lemma
(requires (b <= c))
(ensures (a * b <= a * c))
let lemma_mult_le_left a b c = ()
val lemma_mult_le_right: a:nat -> b:int -> c:int -> Lemma
(requires (b <= c))
(ensures (b * a <= c * a))
let lemma_mult_le_right a b c = ()
val lemma_mult_lt_left: a:pos -> b:int -> c:int -> Lemma
(requires (b < c))
(ensures (a * b < a * c))
let lemma_mult_lt_left a b c = ()
val lemma_mult_lt_right: a:pos -> b:int -> c:int -> Lemma
(requires (b < c))
(ensures (b * a < c * a))
let lemma_mult_lt_right a b c = () | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.Math.Lib.fst.checked",
"FStar.Calc.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.Math.Lemmas.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Math.Lib",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 0,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | n: Prims.nat -> m: Prims.nat -> k: Prims.nat{n < k && m < k}
-> FStar.Pervasives.Lemma (ensures n * m < k * k) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"Prims.nat",
"Prims.b2t",
"Prims.op_AmpAmp",
"Prims.op_LessThan",
"FStar.Calc.calc_finish",
"Prims.int",
"Prims.op_LessThanOrEqual",
"FStar.Mul.op_Star",
"Prims.op_Subtraction",
"Prims.Cons",
"FStar.Preorder.relation",
"Prims.Nil",
"Prims.unit",
"FStar.Calc.calc_step",
"FStar.Calc.calc_init",
"FStar.Calc.calc_pack",
"FStar.Math.Lemmas.lemma_mult_le_left",
"Prims.squash",
"FStar.Math.Lemmas.lemma_mult_le_right",
"Prims.l_True",
"FStar.Pervasives.pattern"
] | [] | false | false | true | false | false | let lemma_mult_lt_sqr (n m: nat) (k: nat{n < k && m < k}) : Lemma (n * m < k * k) =
| calc ( <= ) {
n * m;
( <= ) { lemma_mult_le_left n m (k - 1) }
n * (k - 1);
( <= ) { lemma_mult_le_right (k - 1) n (k - 1) }
(k - 1) * (k - 1);
( <= ) { () }
k * k - 1;
} | false |
FStar.Math.Lemmas.fst | FStar.Math.Lemmas.distributivity_add_right | val distributivity_add_right: a:int -> b:int -> c:int -> Lemma
(a * (b + c) = a * b + a * c) | val distributivity_add_right: a:int -> b:int -> c:int -> Lemma
(a * (b + c) = a * b + a * c) | let distributivity_add_right a b c =
calc (==) {
a * (b + c);
== {}
(b + c) * a;
== { distributivity_add_left b c a }
b * a + c * a;
== {}
a * b + a * c;
} | {
"file_name": "ulib/FStar.Math.Lemmas.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 3,
"end_line": 89,
"start_col": 0,
"start_line": 80
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Math.Lemmas
open FStar.Mul
open FStar.Math.Lib
#push-options "--fuel 0 --ifuel 0"
(* Lemma: definition of Euclidean division *)
val euclidean_div_axiom: a:int -> b:pos -> Lemma
(a - b * (a / b) >= 0 /\ a - b * (a / b) < b)
let euclidean_div_axiom a b = ()
val lemma_eucl_div_bound: a:int -> b:int -> q:int -> Lemma
(requires (a < q))
(ensures (a + q * b < q * (b+1)))
let lemma_eucl_div_bound a b q = ()
val lemma_mult_le_left: a:nat -> b:int -> c:int -> Lemma
(requires (b <= c))
(ensures (a * b <= a * c))
let lemma_mult_le_left a b c = ()
val lemma_mult_le_right: a:nat -> b:int -> c:int -> Lemma
(requires (b <= c))
(ensures (b * a <= c * a))
let lemma_mult_le_right a b c = ()
val lemma_mult_lt_left: a:pos -> b:int -> c:int -> Lemma
(requires (b < c))
(ensures (a * b < a * c))
let lemma_mult_lt_left a b c = ()
val lemma_mult_lt_right: a:pos -> b:int -> c:int -> Lemma
(requires (b < c))
(ensures (b * a < c * a))
let lemma_mult_lt_right a b c = ()
let lemma_mult_lt_sqr (n:nat) (m:nat) (k:nat{n < k && m < k})
: Lemma (n * m < k * k) =
calc (<=) {
n * m;
<= { lemma_mult_le_left n m (k - 1) }
n * (k - 1);
<= { lemma_mult_le_right (k - 1) n (k - 1) }
(k - 1) * (k - 1);
<= {}
k*k - 1;
}
(* Lemma: multiplication on integers is commutative *)
val swap_mul: a:int -> b:int -> Lemma (a * b = b * a)
let swap_mul a b = ()
val lemma_cancel_mul (a b : int) (n : pos) : Lemma (requires (a * n = b * n)) (ensures (a = b))
let lemma_cancel_mul a b n = ()
(* Lemma: multiplication is right distributive over addition *)
val distributivity_add_left: a:int -> b:int -> c:int -> Lemma
((a + b) * c = a * c + b * c)
let distributivity_add_left a b c = ()
(* Lemma: multiplication is left distributive over addition *)
val distributivity_add_right: a:int -> b:int -> c:int -> Lemma | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.Math.Lib.fst.checked",
"FStar.Calc.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.Math.Lemmas.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Math.Lib",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 0,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | a: Prims.int -> b: Prims.int -> c: Prims.int
-> FStar.Pervasives.Lemma (ensures a * (b + c) = a * b + a * c) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"Prims.int",
"FStar.Calc.calc_finish",
"Prims.eq2",
"FStar.Mul.op_Star",
"Prims.op_Addition",
"Prims.Cons",
"FStar.Preorder.relation",
"Prims.Nil",
"Prims.unit",
"FStar.Calc.calc_step",
"FStar.Calc.calc_init",
"FStar.Calc.calc_pack",
"Prims.squash",
"FStar.Math.Lemmas.distributivity_add_left"
] | [] | false | false | true | false | false | let distributivity_add_right a b c =
| calc ( == ) {
a * (b + c);
( == ) { () }
(b + c) * a;
( == ) { distributivity_add_left b c a }
b * a + c * a;
( == ) { () }
a * b + a * c;
} | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_codegen_success_Poly1305_impl | val va_codegen_success_Poly1305_impl : va_dummy:unit -> Tot va_pbool | val va_codegen_success_Poly1305_impl : va_dummy:unit -> Tot va_pbool | let va_codegen_success_Poly1305_impl () =
(va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdi) 24 Public) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR12)
(va_op_reg_opr64_reg64 rRdi) 32 Public) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1152921487695413247)) (va_pbool_and
(va_codegen_success_And64 (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1152921487695413244))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rRcx))
(va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Public) (va_pbool_and
(va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR12) 32 Public) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_And64
(va_op_dst_opr64_reg64 rRax) (va_const_opr64 15)) (va_pbool_and (va_codegen_success_Sub64
(va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRax) 56 Public) (va_pbool_and (va_codegen_success_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRdx) 64
Public) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64
1)) (va_pbool_and (va_codegen_success_Poly1305_blocks ()) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRax)
(va_op_reg_opr64_reg64 rRdi) 184 Public) (va_pbool_and (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR15)
(va_op_reg_opr64_reg64 rRdi) 56 Public) (va_pbool_and (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRax)
(va_op_reg_opr64_reg64 rRdi) 32 Public) (va_pbool_and (va_codegen_success_Load64_buffer
(va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0
Public) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Public)
(va_codegen_success_Poly1305_last_block ())))) (va_pbool_and
(va_codegen_success_Poly1305_reduce_last ()) (va_pbool_and (va_codegen_success_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRax) (va_op_reg_opr64_reg64 rRdi) 40
Public) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRdi) 48 Public)
(va_codegen_success_Poly1305_add_key_s ())))))) (va_ttrue ())))))))))))))))))) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 82,
"end_line": 2387,
"start_col": 0,
"start_line": 2352
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce)
//--
//-- Poly1305_iteration
val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_iteration () =
(va_Block (va_CCons (va_code_Poly1305_multiply ()) (va_CCons (va_code_Poly1305_reduce ())
(va_CNil ()))))
val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_iteration () =
(va_pbool_and (va_codegen_success_Poly1305_multiply ()) (va_pbool_and
(va_codegen_success_Poly1305_reduce ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_iteration (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_iteration ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in let (va_arg50:Prims.int) = n `op_Division` 16 in let
(va_arg49:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg48:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg48 7 va_arg49 va_arg50)
(let (va_arg47:Prims.int) = n `op_Division` 16 in let (va_arg46:Prims.int) = r1 in let
(va_arg45:Prims.int) = n in let (va_arg44:Prims.int) = va_get_reg64 rR14 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 211 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg44 va_arg45 va_arg46
va_arg47) (let (va_arg43:Prims.int) = n `op_Division` 16 in let (va_arg42:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg41:Prims.int) = n in let (va_arg40:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg40 va_arg41 va_arg42
va_arg43) (let (va_arg39:Prims.int) = n `op_Division` 8 in let (va_arg38:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg37:Prims.int) = n in let (va_arg36:Prims.int) =
va_get_reg64 rRbp va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg36 va_arg37 va_arg38
va_arg39) (let (va_arg35:Prims.int) = n `op_Division` 16 in let (va_arg34:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg33:Prims.int) = n in let (va_arg32:Prims.int) =
va_get_reg64 rR14 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg32 va_arg33 va_arg34
va_arg35) (let (va_arg31:Prims.int) = n `op_Division` 8 in let (va_arg30:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg29:Prims.int) = n in let (va_arg28:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg28 va_arg29 va_arg30
va_arg31) (let (va_arg27:Prims.int) = 5 `op_Multiply` n `op_Division` 64 in let
(va_arg26:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg25:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg25 7 va_arg26 va_arg27)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 218 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_multiply r1) (fun (va_s:va_state) (hd:int) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_reduce ()) (fun (va_s:va_state) (hh:int) -> va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 220 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 221 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(l_and (hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_s) + va_mul_nat n (va_get_reg64
rRbx va_s) + va_get_reg64 rR14 va_s) (va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p))
(va_QEmpty ((hh)))))))))))))))
val va_lemma_Poly1305_iteration : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_iteration ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp (va_mul_nat h r) ==
Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_iteration va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_iteration va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_iteration ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 180 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 201 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp (va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_iteration (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1) /\ (forall (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp
(va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_iteration : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_iteration r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_iteration ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_iteration r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_iteration (va_code_Poly1305_iteration ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_iteration (r1:nat64) : (va_quickCode int (va_code_Poly1305_iteration ())) =
(va_QProc (va_code_Poly1305_iteration ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRax]) (va_wp_Poly1305_iteration r1) (va_wpProof_Poly1305_iteration r1))
//--
//-- Poly1305_blocks_body0
val va_code_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_body0 () =
(va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Public))
(va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_CCons
(va_code_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (va_CCons
(va_code_Poly1305_iteration ()) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64
1)) (va_CNil ())))))))))))
val va_codegen_success_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_body0 () =
(va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0)
(va_op_reg64_reg64 rRsi) 0 Public)) (va_pbool_and (va_codegen_success_Mem64_lemma ())
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64
(va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_pbool_and
(va_codegen_success_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi)
(va_const_opr64 16)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Poly1305_iteration ())
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1))
(va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_body0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in let (nn:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (hp:int) = h in let (h:int) = h +
va_mul_nat (va_mul_nat nn nn) (va_get_reg64 rRcx va_s) + va_mul_nat nn
(Vale.X64.Decls.buffer64_read inp_b (word_index + 1) (va_get_mem_heaplet 0 va_s)) +
Vale.X64.Decls.buffer64_read inp_b word_index (va_get_mem_heaplet 0 va_s) in let (hq:int) = h
in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inp_b word_index
Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 0 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inp_b
(word_index + 1) Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 355 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 356 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state)
_ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 358 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hq == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat nn nn) + va_mul_nat (va_get_reg64 rRbx
va_s) nn + va_get_reg64 rR14 va_s) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 360 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration (va_get_reg64 rR12 va_s)) (fun (va_s:va_state) (h:int) -> va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 362 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 363 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1)) (fun (va_s:va_state) _ -> let
(word_index:nat) = word_index + 2 in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 366 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index) (let
(va_arg50:Prims.int) = word_index in let (va_arg49:(FStar.Seq.Base.seq Vale.X64.Memory.nat64))
= Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b in let (va_arg48:Prims.int)
= r in let (va_arg47:Prims.int) = va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let
(va_arg46:Prims.int) = Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 368 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg46 va_arg47 va_arg48
va_arg49 va_arg50) (let (va_arg45:Prims.int) = word_index - 2 in let
(va_arg44:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg43:Prims.int) = r in let (va_arg42:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let (va_arg41:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 369 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg41 va_arg42 va_arg43
va_arg44 va_arg45) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 370 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:Prims.int) = r in let (va_arg39:Prims.int) = hq - hp in let (va_arg38:Prims.int) = hp
in let (va_arg37:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg37 va_arg38 va_arg39 va_arg40)
(va_QEmpty (())))))) (va_QEmpty ((h, word_index)))))))))))))))
val va_lemma_Poly1305_blocks_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old /\ va_get_reg64 rR15 va_s0 =!= 0))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15
va_s0) /\ va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_body0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_body0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_body0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 345 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
va_get_reg64 rR15 va_s0 =!= 0 /\ (forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_rax:nat64) (va_x_rbp:nat64) (va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int)
(word_index:nat) . let va_sM = va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64
rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10 (va_upd_ok va_x_ok (va_upd_flags va_x_efl
va_s0))))))))))) in va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n ==
va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\
va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h ==
va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64
rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12
va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64
rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM ==
va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM
== va_get_reg64 rRsi va_old + va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64
/\ va_in_length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8
`op_Multiply` (word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8
`op_Multiply` word_index == va_in_length /\ va_get_reg64 rRsi va_sM + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) +
8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_sM < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM)
(va_get_reg64 rRdi va_sM) va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old /\
precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_body0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int ->
va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_body0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_body0 (va_code_Poly1305_blocks_body0
()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r
va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_body0 ())) =
(va_QProc (va_code_Poly1305_blocks_body0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64
rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks_while0
val va_code_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_while0 () =
(va_Block (va_CCons (va_While (va_cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (va_Block
(va_CCons (va_code_Poly1305_blocks_body0 ()) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_while0 () =
(va_pbool_and (va_codegen_success_Poly1305_blocks_body0 ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_while0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_qWhile va_mods (Cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (fun va_g -> let (h:int) =
let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g in
word_index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_body0 va_old ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QEmpty ((h, word_index))))) (fun
(va_s:va_state) va_g -> let (h:int) = let (h, word_index) = va_g in h in let (word_index:nat) =
let (h, word_index) = va_g in word_index in va_get_ok va_s /\ n == pow2_64 /\ va_mul_nat n n ==
va_mul_nat pow2_64 pow2_64 /\ p == va_mul_nat n n `op_Multiply` 4 - 5 /\ r == va_mul_nat
(va_get_reg64 rR12 va_s) n + va_get_reg64 rR11 va_s /\ h == va_mul_nat (va_get_reg64 rRbp va_s)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s) pow2_64 + va_get_reg64 rR14
va_s /\ va_get_reg64 rR11 va_s < n `op_Division` 16 /\ va_get_reg64 rR12 va_s < n `op_Division`
16 /\ va_get_reg64 rR12 va_s `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s == va_get_reg64 rR12
va_s + va_get_reg64 rR12 va_s `op_Division` 4 /\ va_get_reg64 rRbp va_s < 5 /\ va_get_reg64
rRax va_s == va_get_reg64 rR12 va_s /\ va_get_reg64 rRsi va_s + 16 `op_Multiply` va_get_reg64
rR15 va_s == va_get_reg64 rRsi va_old + length /\ va_get_reg64 rRsi va_old + length < pow2_64
/\ length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s =!= 0 ==> 8 `op_Multiply`
(word_index + 1) <= length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s + 8 `op_Multiply`
word_index == length /\ va_get_reg64 rRsi va_s + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 inp_b (va_get_mem_heaplet 0 va_s) + 8 `op_Multiply` word_index /\
va_get_reg64 rR15 va_s `op_Multiply` 16 <= length /\ va_get_reg64 rRcx va_s < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s) (va_get_reg64 rRdi va_s) ctx_b 24
(va_get_mem_layout va_s) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s)
(va_get_reg64 rRsi va_old) inp_b (length `op_Division` 8) (va_get_mem_layout va_s) Public /\
va_get_reg64 rRdi va_s == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s == va_get_reg64
rRcx va_old /\ (va_get_reg64 rRsi va_s - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index /\
va_get_mem_heaplet 1 va_s == va_get_mem_heaplet 1 va_old) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in va_get_reg64 rR15 va_s) ((h, word_index))) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in let va_g = (h, word_index) in let ((h:int), (word_index:nat)) = va_g in
va_QEmpty ((h, word_index)))))
val va_lemma_Poly1305_blocks_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_while0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) /\ va_state_eq va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_while0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_while0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_while0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(~(va_get_reg64 rR15 va_sM =!= 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
(forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r14:nat64)
(va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_rax:nat64) (va_x_rbp:nat64)
(va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int) (word_index:nat) . let va_sM =
va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_ok va_x_ok (va_upd_flags va_x_efl va_s0))))))))))) in va_get_ok va_sM /\ va_in_n ==
pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat
va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n
+ va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64
pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\
va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM ==
va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM <
5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16
`op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ 16
`op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length /\
va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b
(va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM
`op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_while0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int
-> va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_while0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length
va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_while0
(va_code_Poly1305_blocks_while0 ()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_while0 ())) =
(va_QProc (va_code_Poly1305_blocks_while0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx;
va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks
val va_code_Poly1305_blocks : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks () =
(va_Block (va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi) 24 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRdi) 32
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rR14) (va_op_reg_opr64_reg64 rRdi) 0 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRdi) 8
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rRbp) (va_op_reg_opr64_reg64 rRdi) 16 Public) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rR12) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rR13)
(va_const_shift_amt64 2)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rR13)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Poly1305_blocks_while0 ()) (va_CCons
(va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR14) 0 Public) (va_CCons (va_code_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRbx) 8
Public) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64
rRdi) (va_op_reg_opr64_reg64 rRbp) 16 Public) (va_CNil ())))))))))))))))))
val va_codegen_success_Poly1305_blocks : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks () =
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx))
(va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdi) 24 Public) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13)
(va_op_reg_opr64_reg64 rRdi) 32 Public) (va_pbool_and (va_codegen_success_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR14) (va_op_reg_opr64_reg64 rRdi) 0
Public) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRdi) 8 Public) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbp)
(va_op_reg_opr64_reg64 rRdi) 16 Public) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Shr64
(va_op_dst_opr64_reg64 rR13) (va_const_shift_amt64 2)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_pbool_and (va_codegen_success_Add64
(va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rR12)) (va_pbool_and
(va_codegen_success_Poly1305_blocks_while0 ()) (va_pbool_and (va_codegen_success_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR14) 0
Public) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRbx) 8 Public) (va_pbool_and
(va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbp) 16 Public) (va_ttrue ()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks (va_mods:va_mods_t) (r:int) (h_in:int) (ctx_b:buffer64)
(inp_b:buffer64) : (va_quickCode (int) (va_code_Poly1305_blocks ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 285 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (let (length:int) = va_get_reg64 rRdx
va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 289 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 292 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 294 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi) 24 Public ctx_b 3) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 295 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13)
(va_op_reg_opr64_reg64 rRdi) 32 Public ctx_b 4) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 297 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR14)
(va_op_reg_opr64_reg64 rRdi) 0 Public ctx_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 298 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbx)
(va_op_reg_opr64_reg64 rRdi) 8 Public ctx_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 299 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbp)
(va_op_reg_opr64_reg64 rRdi) 16 Public ctx_b 2) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 301 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR13) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 303 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 304 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rR12)) (fun (va_s:va_state) _
-> let (h:int) = h_in in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 307 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) 0) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 309 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg39:Prims.int) = r in let (va_arg38:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n) in let (va_arg37:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 310 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg37 va_arg38 va_arg39
va_arg40 0) (va_QEmpty (())))) (let (word_index:nat) = 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 315 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_while0 va_old_s ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 374 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR14) 0 Public ctx_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 375 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbx) 8 Public ctx_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 376 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbp) 16 Public ctx_b 2) (va_QEmpty ((h)))))))))))))))))))))
val va_lemma_Poly1305_blocks : va_b0:va_code -> va_s0:va_state -> r:int -> h_in:int ->
ctx_b:buffer64 -> inp_b:buffer64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64 rRdx va_s0 `op_Modulus` 16 == 0 /\
va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 < pow2_64 /\ Vale.X64.Decls.validDstAddrs64
(va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) ctx_b 24 (va_get_mem_layout va_s0)
Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0)
inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout va_s0) Public /\ (let h0_in
= Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_s0) in let h1_in =
Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_s0) in let h2_in =
Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_s0) in let r0_in =
Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_s0) in let r1_in =
Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_s0) in h_in == va_mul_nat h2_in
(va_mul_nat n n) + va_mul_nat h1_in n + h0_in /\ r == va_mul_nat r1_in n + r0_in /\ r0_in < n
`op_Division` 16 /\ r1_in < n `op_Division` 16 /\ r1_in `op_Modulus` 4 == 0 /\ h2_in < 5 /\
va_get_reg64 rRcx va_s0 < 2))))
(ensures (fun (va_sM, va_fM, h) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64
rRbp va_sM < 5 /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64
rRdi va_sM) ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0
`op_Division` 8) (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.modifies_buffer_specific
ctx_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM) 0 2 /\ va_get_reg64 rR14 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbx va_sM
== Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbp va_sM
== Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR11 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR12 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR13 va_sM
== va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRsi va_sM
== va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRcx va_sM == va_get_reg64
rRcx va_s0 /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 /\ (let r0_in =
Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) in let r1_in =
Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) in h == va_mul_nat
(va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM)
pow2_64 + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0 `op_Division` 8))) /\ va_state_eq
va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rRax va_sM (va_update_reg64 rRbp 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_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx 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_Poly1305_blocks va_b0 va_s0 r h_in ctx_b inp_b =
let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64
rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rRdx; va_Mod_reg64 rRsi; va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_Poly1305_blocks va_mods r h_in ctx_b inp_b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let h = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in label
va_range1
"***** POSTCONDITION NOT MET AT line 264 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 265 column 66 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) ctx_b 24
(va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 266 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_s0) inp_b
(va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 267 column 65 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific ctx_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet
1 va_sM) 0 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 268 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR14 va_sM == Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 269 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 270 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM == Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 271 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 272 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM == Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 273 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 274 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 277 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 278 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 280 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) in label
va_range1
"***** POSTCONDITION NOT MET AT line 281 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) in label
va_range1
"***** POSTCONDITION NOT MET AT line 282 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 283 column 118 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0
`op_Division` 8)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_ok; va_Mod_mem]) va_sM va_s0;
let h = va_g in
(va_sM, va_fM, h)
[@ va_qattr]
let va_wp_Poly1305_blocks (r:int) (h_in:int) (ctx_b:buffer64) (inp_b:buffer64) (va_s0:va_state)
(va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64
rRdx va_s0 `op_Modulus` 16 == 0 /\ va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 < pow2_64
/\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) ctx_b
24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0
va_s0) (va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8)
(va_get_mem_layout va_s0) Public /\ (let h0_in = Vale.X64.Decls.buffer64_read ctx_b 0
(va_get_mem_heaplet 1 va_s0) in let h1_in = Vale.X64.Decls.buffer64_read ctx_b 1
(va_get_mem_heaplet 1 va_s0) in let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2
(va_get_mem_heaplet 1 va_s0) in let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3
(va_get_mem_heaplet 1 va_s0) in let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4
(va_get_mem_heaplet 1 va_s0) in h_in == va_mul_nat h2_in (va_mul_nat n n) + va_mul_nat h1_in n
+ h0_in /\ r == va_mul_nat r1_in n + r0_in /\ r0_in < n `op_Division` 16 /\ r1_in < n
`op_Division` 16 /\ r1_in `op_Modulus` 4 == 0 /\ h2_in < 5 /\ va_get_reg64 rRcx va_s0 < 2)) /\
(forall (va_x_mem:vale_heap) (va_x_rsi:nat64) (va_x_rdx:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_r10:nat64) (va_x_r11:nat64) (va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64)
(va_x_rbx:nat64) (va_x_rbp:nat64) (va_x_rax:nat64) (va_x_r15:nat64) (va_x_efl:Vale.X64.Flags.t)
(va_x_heap1:vale_heap) (h:int) . let va_sM = va_upd_mem_heaplet 1 va_x_heap1 (va_upd_flags
va_x_efl (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRbp va_x_rbp
(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_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRsi va_x_rsi (va_upd_mem va_x_mem va_s0))))))))))))))) in va_get_ok va_sM /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64 rRbp va_sM < 5 /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) ctx_b 24
(va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM)
(va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout
va_sM) Public /\ Vale.X64.Decls.modifies_buffer_specific ctx_b (va_get_mem_heaplet 1 va_s0)
(va_get_mem_heaplet 1 va_sM) 0 2 /\ va_get_reg64 rR14 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 0 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbx va_sM == Vale.X64.Decls.buffer64_read
ctx_b 1 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbp va_sM == Vale.X64.Decls.buffer64_read
ctx_b 2 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 3 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR12 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 4 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM +
va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 +
va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0 /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_s0 /\ (let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3
(va_get_mem_heaplet 1 va_sM) in let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4
(va_get_mem_heaplet 1 va_sM) in h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64
pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0
`op_Division` 8))) ==> va_k va_sM ((h))))
val va_wpProof_Poly1305_blocks : r:int -> h_in:int -> ctx_b:buffer64 -> inp_b:buffer64 ->
va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks r h_in ctx_b inp_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks ())
([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi;
va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks r h_in ctx_b inp_b va_s0 va_k =
let (va_sM, va_f0, h) = va_lemma_Poly1305_blocks (va_code_Poly1305_blocks ()) va_s0 r h_in ctx_b
inp_b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM (va_update_reg64
rR15 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRbp 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_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx 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_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_mem]) va_sM va_s0;
let va_g = (h) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks (r:int) (h_in:int) (ctx_b:buffer64) (inp_b:buffer64) : (va_quickCode
int (va_code_Poly1305_blocks ())) =
(va_QProc (va_code_Poly1305_blocks ()) ([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15;
va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_mem]) (va_wp_Poly1305_blocks r h_in ctx_b inp_b)
(va_wpProof_Poly1305_blocks r h_in ctx_b inp_b))
//--
//-- Poly1305_last_block
val va_code_Poly1305_last_block : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_last_block () =
(va_Block (va_CCons (va_IfElse (va_cmp_lt (va_op_cmp_reg64 rR15) (va_const_cmp 8)) (va_Block
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_CCons
(va_code_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_CCons (va_code_Shl64
(va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Sub64
(va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ())))))))))))))))) (va_Block
(va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx)
(va_op_opr64_reg64 rR15)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64
8)) (va_CCons (va_code_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_CCons (va_code_Shl64
(va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (va_CCons (va_Block (va_CNil ()))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))))))))))) (va_CCons
(va_code_Poly1305_iteration ()) (va_CNil ()))))
val va_codegen_success_Poly1305_last_block : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_last_block () =
(va_pbool_and (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx)
(va_op_opr64_reg64 rR15)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRcx)
(va_const_shift_amt64 3)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx)
(va_const_opr64 1)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRdx)
(va_op_shift_amt64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRcx) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64
rRcx) (va_const_opr64 1)) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9)
(va_const_opr64 0)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_pbool_and
(va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 8)) (va_pbool_and
(va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_pbool_and
(va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64
rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRdx)) (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_const_opr64 0))))))))))))))))))))))))))))) (va_pbool_and
(va_codegen_success_Poly1305_iteration ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_last_block (va_mods:va_mods_t) : (va_quickCode unit
(va_code_Poly1305_last_block ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r1:nat64) = va_get_reg64 rRax va_s in let
(r:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s) r1 in
let (hBlocks:Prims.int) = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s) (va_get_reg64 rRbx va_s)) (va_get_reg64 rRbp va_s) in let
(inpLast:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s)
(va_get_reg64 rR9 va_s) in let (padLast:Prims.pos) = Prims.pow2 (va_get_reg64 rR15 va_s
`op_Multiply` 8) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 409 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_qIf va_mods (Cmp_lt (va_op_cmp_reg64 rR15) (va_const_cmp 8)) (qblock va_mods (fun
(va_s:va_state) -> let (va_arg78:Vale.Def.Types_s.nat64) = va_get_reg64 rR15 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 410 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_shift_power2 va_arg78) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 412 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 413 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 414 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (fun
(va_s:va_state) _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 415 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdx va_s == padLast) (let (va_arg77:Vale.Def.Types_s.nat64) = va_get_reg64 rR15
va_s in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 417 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_and_mod va_arg76 va_arg77) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 419 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(padLast == Vale.Poly1305.Math.shift_left64 1 (Vale.Poly1305.Math.shift_left64 (va_get_reg64
rR15 va_s) 3)) (let (va_arg75:Prims.int) = Prims.pow2 (va_get_reg64 rR15 va_s `op_Multiply` 8)
in let (va_arg74:Prims.int) = va_get_reg64 rR15 va_s in let (va_arg73:Vale.Def.Types_s.nat64) =
va_get_reg64 rR9 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 420 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mod_power2_lo va_arg72 va_arg73 va_arg74 va_arg75)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 421 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 422 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 425 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR8 va_s == va_get_reg64 rR8 va_old_s `op_Modulus` padLast) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 426 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) == inpLast
`op_Modulus` padLast) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 429 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 430 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 431 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 433 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 434 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 435 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QEmpty
(())))))))))))))))))))))))) (qblock va_mods (fun (va_s:va_state) -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 437 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_s - 8 >= 0 /\ va_get_reg64 rR15 va_s - 8 <= 255) (fun _ -> let
(nExtra8:nat8) = va_get_reg64 rR15 va_s - 8 in let (va_arg85:Vale.Def.Types_s.nat64) = nExtra8
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_shift_power2 va_arg85) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 441 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 442 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 443 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (fun
(va_s:va_state) _ -> va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 445 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(padLast == Vale.Poly1305.Math.lowerUpper128 0 (va_get_reg64 rRdx va_s)) (let
(va_arg84:Prims.nat) = 8 `op_Multiply` nExtra8 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 446 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_power2_add64 va_arg84) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 447 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (())))) (let
(va_arg83:Vale.Def.Types_s.nat64) = nExtra8 in let (va_arg82:Vale.Def.Types_s.nat64) =
va_get_reg64 rR9 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 451 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_and_mod va_arg82 va_arg83) (va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 452 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Prims.pow2 (8 `op_Multiply` nExtra8) >= 0 /\ Prims.pow2 (8 `op_Multiply` nExtra8) <=
18446744073709551615) (fun _ -> let (va_arg81:Vale.Def.Types_s.nat64) = Prims.pow2 (8
`op_Multiply` nExtra8) in let (va_arg80:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let
(va_arg79:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 452 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mod_hi va_arg79 va_arg80 va_arg81) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 453 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 454 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 455 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ ->
va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 456 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) == inpLast
`op_Modulus` padLast) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 459 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 460 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 461 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 463 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 464 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 465 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QEmpty
(()))))))))))))))))))))))))) (fun (va_s:va_state) va_g -> let (h:int) = hBlocks + inpLast
`op_Modulus` padLast + padLast in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 469 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx
va_s) n + va_get_reg64 rR14 va_s) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 469 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper192_reveal ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 469 column 93 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (())))) (va_qAssertBy
va_range1
"***** PRECONDITION NOT MET AT line 470 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(r == va_mul_nat r1 n + va_get_reg64 rR11 va_s) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 470 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (()))) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 471 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration r1) (fun (va_s:va_state) (hLast:int) -> va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 472 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hLast == Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14
va_s) (va_get_reg64 rRbx va_s)) (va_get_reg64 rRbp va_s)) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 472 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper192_reveal ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 472 column 111 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (())))) (let
(va_arg71:Prims.int) = r in let (va_arg70:Prims.int) = inpLast `op_Modulus` padLast + padLast
in let (va_arg69:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 473 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg69 hBlocks va_arg70 va_arg71)
(va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 474 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp ((Vale.Poly1305.Spec_s.modp
hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply` r)) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 474 column 90 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_QEmpty (()))) (va_QEmpty (()))))))))))
val va_lemma_Poly1305_last_block : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Poly1305_last_block ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in
va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n
`op_Division` 16 /\ r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division`
4 /\ (1 <= va_get_reg64 rR15 va_s0 /\ va_get_reg64 rR15 va_s0 < 16))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in
va_get_reg64 rRbp va_sM < 5 /\ (let padLast = Prims.pow2 (va_get_reg64 rR15 va_sM `op_Multiply`
8) in let hLast = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM)) (va_get_reg64 rRbp va_sM) in
Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp ((Vale.Poly1305.Spec_s.modp
hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply` r))) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_last_block va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_last_block va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_last_block ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 380 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in label
va_range1
"***** POSTCONDITION NOT MET AT line 402 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let padLast = Prims.pow2 (va_get_reg64 rR15 va_sM `op_Multiply` 8) in label va_range1
"***** POSTCONDITION NOT MET AT line 404 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let hLast = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64
rR14 va_sM) (va_get_reg64 rRbx va_sM)) (va_get_reg64 rRbp va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 405 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp ((Vale.Poly1305.Spec_s.modp
hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply` r)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Poly1305_last_block (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in
va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n
`op_Division` 16 /\ r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division`
4 /\ (1 <= va_get_reg64 rR15 va_s0 /\ va_get_reg64 rR15 va_s0 < 16)) /\ (forall
(va_x_rax:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64) (va_x_efl:Vale.X64.Flags.t)
. let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax
va_s0))))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r1:nat64) = va_get_reg64 rRax va_s0 in let
(r:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in
let (hBlocks:Prims.int) = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let
(inpLast:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0)
(va_get_reg64 rR9 va_s0) in va_get_reg64 rRbp va_sM < 5 /\ (let padLast = Prims.pow2
(va_get_reg64 rR15 va_sM `op_Multiply` 8) in let hLast = Vale.Poly1305.Math.lowerUpper192
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM))
(va_get_reg64 rRbp va_sM) in Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp
((Vale.Poly1305.Spec_s.modp hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply`
r))) ==> va_k va_sM (())))
val va_wpProof_Poly1305_last_block : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_last_block va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_last_block ())
([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10;
va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_last_block va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Poly1305_last_block (va_code_Poly1305_last_block ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_last_block () : (va_quickCode unit (va_code_Poly1305_last_block ())) =
(va_QProc (va_code_Poly1305_last_block ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Poly1305_last_block va_wpProof_Poly1305_last_block)
//--
//-- Poly1305_reduce_last
val va_code_Poly1305_reduce_last : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce_last () =
(va_Block (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rR14))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_const_opr64 5)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Shr64
(va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Sub64Wrap
(va_op_dst_opr64_reg64 rRax) (va_const_opr64 1)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Sub64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Add64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Add64
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_CNil ())))))))))))))))))))
val va_codegen_success_Poly1305_reduce_last : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce_last () =
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rR14))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_const_opr64 5))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rRax) (va_const_opr64 1))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0))
(va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRax)) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64
rRax)) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64
rR8)) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR9)) (va_ttrue ()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce_last (va_mods:va_mods_t) : (va_quickCode unit
(va_code_Poly1305_reduce_last ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s)
(va_get_reg64 rRbx va_s)) (va_get_reg64 rRbp va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 490 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 492 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 493 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 494 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 495 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_const_opr64 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 496 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 497 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 499 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h + 5 == Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8
va_s) (va_get_reg64 rR9 va_s)) (va_get_reg64 rR10 va_s)) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 500 column 34 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 500 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper192_reveal ()) (va_QEmpty (())))) (let
(va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let
(va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let
(va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg29:Prims.int) = h + 5
in let (va_arg28:Vale.Def.Types_s.nat64) = va_get_reg64 rR14 va_old_s in let
(va_arg27:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_old_s in let
(va_arg26:Vale.Def.Types_s.nat64) = va_get_reg64 rRbp va_old_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 501 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_reduce128 h va_arg26 va_arg27 va_arg28 va_arg29
va_arg30 va_arg31 va_arg32) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 503 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 505 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 506 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rRax) (va_const_opr64 1)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 508 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 509 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 511 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 512 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 514 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 515 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 518 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 519 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QEmpty
(())))))))))))))))))))))))
val va_lemma_Poly1305_reduce_last : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce_last ()) va_s0 /\ va_get_ok va_s0 /\
(let (h:Prims.int) = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in va_get_reg64
rRbp va_s0 < 5)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h:Prims.int) = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM) ==
Vale.Poly1305.Spec_s.mod2_128 (Vale.Poly1305.Spec_s.modp h)) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce_last va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rRax; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce_last va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce_last ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 478 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (h:Prims.int) = Vale.Poly1305.Math.lowerUpper192
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0))
(va_get_reg64 rRbp va_s0) in label va_range1
"***** POSTCONDITION NOT MET AT line 488 column 51 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM) ==
Vale.Poly1305.Spec_s.mod2_128 (Vale.Poly1305.Spec_s.modp h)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rRax; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Poly1305_reduce_last (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (h:Prims.int) = Vale.Poly1305.Math.lowerUpper192
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0))
(va_get_reg64 rRbp va_s0) in va_get_reg64 rRbp va_s0 < 5) /\ (forall (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_rax:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64
rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rRax
va_x_rax (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8
va_s0))))))) in va_get_ok va_sM /\ (let (h:Prims.int) = Vale.Poly1305.Math.lowerUpper192
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0))
(va_get_reg64 rRbp va_s0) in Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM)
(va_get_reg64 rRbx va_sM) == Vale.Poly1305.Spec_s.mod2_128 (Vale.Poly1305.Spec_s.modp h)) ==>
va_k va_sM (())))
val va_wpProof_Poly1305_reduce_last : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce_last va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce_last ())
([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rRax;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce_last va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Poly1305_reduce_last (va_code_Poly1305_reduce_last ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rR10 va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rRax; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce_last () : (va_quickCode unit (va_code_Poly1305_reduce_last ())) =
(va_QProc (va_code_Poly1305_reduce_last ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rRax; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_wp_Poly1305_reduce_last va_wpProof_Poly1305_reduce_last)
//--
//-- Poly1305_add_key_s
val va_code_Poly1305_add_key_s : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_add_key_s () =
(va_Block (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRdx)) (va_CNil
()))))
val va_codegen_success_Poly1305_add_key_s : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_add_key_s () =
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64
rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rRdx)) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_add_key_s (va_mods:va_mods_t) : (va_quickCode unit
(va_code_Poly1305_add_key_s ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h_in:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s)
(va_get_reg64 rRbx va_s) in let (key_s:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rRax va_s) (va_get_reg64 rRdx va_s) in va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 536 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 537 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRdx)) (fun (va_s:va_state)
_ -> let (va_arg18:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in let
(va_arg17:Vale.Def.Types_s.nat64) = va_get_reg64 rR14 va_s in let (va_arg16:Prims.int) = key_s
in let (va_arg15:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let
(va_arg14:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg13:Prims.int) = h_in
in let (va_arg12:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_old_s in let
(va_arg11:Vale.Def.Types_s.nat64) = va_get_reg64 rR14 va_old_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 539 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_add_key va_arg11 va_arg12 va_arg13 va_arg14 va_arg15
va_arg16 va_arg17 va_arg18) (va_QEmpty (()))))))
val va_lemma_Poly1305_add_key_s : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Poly1305_add_key_s ()) va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h_in:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14
va_s0) (va_get_reg64 rRbx va_s0) in let (key_s:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rRax va_s0) (va_get_reg64 rRdx va_s0) in
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM) ==
Vale.Poly1305.Spec_s.mod2_128 (h_in + key_s)) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_ok va_sM va_s0))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_add_key_s va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_add_key_s va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_add_key_s ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 523 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (h_in:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0) in let (key_s:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rRax va_s0) (va_get_reg64 rRdx va_s0) in label
va_range1
"***** POSTCONDITION NOT MET AT line 534 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM) ==
Vale.Poly1305.Spec_s.mod2_128 (h_in + key_s)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Poly1305_add_key_s (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (forall (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 va_s0))
in va_get_ok va_sM /\ (let (h_in:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0) in let (key_s:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rRax va_s0) (va_get_reg64 rRdx va_s0) in
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM) ==
Vale.Poly1305.Spec_s.mod2_128 (h_in + key_s)) ==> va_k va_sM (())))
val va_wpProof_Poly1305_add_key_s : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_add_key_s va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_add_key_s ()) ([va_Mod_flags;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_add_key_s va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Poly1305_add_key_s (va_code_Poly1305_add_key_s ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR14]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_add_key_s () : (va_quickCode unit (va_code_Poly1305_add_key_s ())) =
(va_QProc (va_code_Poly1305_add_key_s ()) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR14])
va_wp_Poly1305_add_key_s va_wpProof_Poly1305_add_key_s)
//--
// REVIEW: not clear why Vale.Def.TypesNative_s.reveal_iand doesn't work directly
let reveal_logand128 (x y:nat128) : Lemma
(requires True)
(ensures Vale.Def.Types_s.iand x y == FStar.UInt.logand #128 x y)
= Vale.Def.TypesNative_s.reveal_iand 128 x y
//-- reveal_logand128
//--
//-- Poly1305_impl
val va_code_Poly1305_impl : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_impl () =
(va_Block (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rR11) (va_op_reg_opr64_reg64 rRdi) 24 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR12) (va_op_reg_opr64_reg64 rRdi) 32
Public) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64
1152921487695413247)) (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64
rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64
1152921487695413244)) (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64
rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64
rRdi) (va_op_reg_opr64_reg64 rR11) 24 Public) (va_CCons (va_code_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR12) 32
Public) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx))
(va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 15)) (va_CCons
(va_code_Sub64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRax) 56 Public) (va_CCons (va_code_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRdx) 64
Public) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_CCons
(va_code_Poly1305_blocks ()) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rRax) (va_op_reg_opr64_reg64 rRdi) 184 Public) (va_CCons (va_IfElse
(va_cmp_eq (va_op_cmp_reg64 rRax) (va_const_cmp 1)) (va_Block (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR15) (va_op_reg_opr64_reg64 rRdi) 56
Public) (va_CCons (va_IfElse (va_cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (va_Block
(va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRax)
(va_op_reg_opr64_reg64 rRdi) 32 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64
rR9) (va_op_reg_opr64_reg64 rRsi) 8 Public) (va_CCons (va_code_Poly1305_last_block ()) (va_CNil
())))))) (va_Block (va_CNil ()))) (va_CCons (va_code_Poly1305_reduce_last ()) (va_CCons
(va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRax)
(va_op_reg_opr64_reg64 rRdi) 40 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRdi) 48
Public) (va_CCons (va_code_Poly1305_add_key_s ()) (va_CNil ())))))))) (va_Block (va_CNil ())))
(va_CNil ())))))))))))))))))))
val va_codegen_success_Poly1305_impl : va_dummy:unit -> Tot va_pbool | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.X64.Decls.va_pbool | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.X64.Decls.va_pbool_and",
"Vale.X64.InsMem.va_codegen_success_Load64_buffer",
"Vale.X64.Decls.va_op_heaplet_mem_heaplet",
"Vale.X64.Decls.va_op_dst_opr64_reg64",
"Vale.X64.Machine_s.rR11",
"Vale.X64.Decls.va_op_reg_opr64_reg64",
"Vale.X64.Machine_s.rRdi",
"Vale.Arch.HeapTypes_s.Public",
"Vale.X64.Machine_s.rR12",
"Vale.X64.InsBasic.va_codegen_success_Mov64",
"Vale.X64.Machine_s.rRcx",
"Vale.X64.Decls.va_const_opr64",
"Vale.X64.InsBasic.va_codegen_success_And64",
"Vale.X64.Decls.va_op_opr64_reg64",
"Vale.X64.InsMem.va_codegen_success_Store64_buffer",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.InsBasic.va_codegen_success_Sub64",
"Vale.Poly1305.X64.va_codegen_success_Poly1305_blocks",
"Vale.X64.Machine_s.rR15",
"Vale.X64.Machine_s.rR8",
"Vale.X64.Machine_s.rRsi",
"Vale.X64.Machine_s.rR9",
"Vale.Poly1305.X64.va_codegen_success_Poly1305_last_block",
"Vale.Poly1305.X64.va_codegen_success_Poly1305_reduce_last",
"Vale.Poly1305.X64.va_codegen_success_Poly1305_add_key_s",
"Vale.X64.Decls.va_ttrue",
"Vale.X64.Decls.va_pbool"
] | [] | false | false | false | true | false | let va_codegen_success_Poly1305_impl () =
| (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi)
24
Public)
(va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rR12)
(va_op_reg_opr64_reg64 rRdi)
32
Public)
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx)
(va_const_opr64 1152921487695413247))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR11)
(va_op_opr64_reg64 rRcx))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx)
(va_const_opr64 1152921487695413244))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR12)
(va_op_opr64_reg64 rRcx))
(va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1
)
(va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR11)
24
Public)
(va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet
1)
(va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR12)
32
Public)
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rRdx))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax
)
(va_const_opr64 15))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64
rRdx)
(va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet
1)
(va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRax)
56
Public)
(va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet
1)
(va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRdx)
64
Public)
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRcx)
(va_const_opr64 1))
(va_pbool_and (va_codegen_success_Poly1305_blocks
())
(va_pbool_and (va_codegen_success_Load64_buffer
(va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rRax)
(va_op_reg_opr64_reg64 rRdi)
184
Public)
(va_pbool_and (va_pbool_and (va_codegen_success_Load64_buffer
(va_op_heaplet_mem_heaplet
1)
(va_op_dst_opr64_reg64 rR15
)
(va_op_reg_opr64_reg64 rRdi
)
56
Public)
(va_pbool_and (va_pbool_and (
va_codegen_success_Load64_buffer
(va_op_heaplet_mem_heaplet
1)
(va_op_dst_opr64_reg64
rRax)
(va_op_reg_opr64_reg64
rRdi)
32
Public)
(va_pbool_and (va_codegen_success_Load64_buffer
(va_op_heaplet_mem_heaplet
0)
(va_op_dst_opr64_reg64
rR8)
(va_op_reg_opr64_reg64
rRsi)
0
Public)
(va_pbool_and (va_codegen_success_Load64_buffer
(va_op_heaplet_mem_heaplet
0)
(va_op_dst_opr64_reg64
rR9)
(va_op_reg_opr64_reg64
rRsi
)
8
Public)
(va_codegen_success_Poly1305_last_block
()))))
(va_pbool_and (va_codegen_success_Poly1305_reduce_last
())
(va_pbool_and (va_codegen_success_Load64_buffer
(va_op_heaplet_mem_heaplet
1)
(va_op_dst_opr64_reg64
rRax)
(va_op_reg_opr64_reg64
rRdi)
40
Public)
(va_pbool_and (va_codegen_success_Load64_buffer
(va_op_heaplet_mem_heaplet
1)
(va_op_dst_opr64_reg64
rRdx
)
(va_op_reg_opr64_reg64
rRdi
)
48
Public)
(va_codegen_success_Poly1305_add_key_s
()))))))
(va_ttrue ())))))))))))))))))) | false |
FStar.Math.Lemmas.fst | FStar.Math.Lemmas.distributivity_sub_right | val distributivity_sub_right: a:int -> b:int -> c:int ->
Lemma ((a * (b - c) = a * b - a * c)) | val distributivity_sub_right: a:int -> b:int -> c:int ->
Lemma ((a * (b - c) = a * b - a * c)) | let distributivity_sub_right a b c =
calc (==) {
a * (b - c);
== {}
a * (b + (-c));
== { distributivity_add_right a b (-c) }
a * b + a * (-c);
== { neg_mul_right a c }
a * b - a * c;
} | {
"file_name": "ulib/FStar.Math.Lemmas.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 3,
"end_line": 167,
"start_col": 0,
"start_line": 158
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Math.Lemmas
open FStar.Mul
open FStar.Math.Lib
#push-options "--fuel 0 --ifuel 0"
(* Lemma: definition of Euclidean division *)
val euclidean_div_axiom: a:int -> b:pos -> Lemma
(a - b * (a / b) >= 0 /\ a - b * (a / b) < b)
let euclidean_div_axiom a b = ()
val lemma_eucl_div_bound: a:int -> b:int -> q:int -> Lemma
(requires (a < q))
(ensures (a + q * b < q * (b+1)))
let lemma_eucl_div_bound a b q = ()
val lemma_mult_le_left: a:nat -> b:int -> c:int -> Lemma
(requires (b <= c))
(ensures (a * b <= a * c))
let lemma_mult_le_left a b c = ()
val lemma_mult_le_right: a:nat -> b:int -> c:int -> Lemma
(requires (b <= c))
(ensures (b * a <= c * a))
let lemma_mult_le_right a b c = ()
val lemma_mult_lt_left: a:pos -> b:int -> c:int -> Lemma
(requires (b < c))
(ensures (a * b < a * c))
let lemma_mult_lt_left a b c = ()
val lemma_mult_lt_right: a:pos -> b:int -> c:int -> Lemma
(requires (b < c))
(ensures (b * a < c * a))
let lemma_mult_lt_right a b c = ()
let lemma_mult_lt_sqr (n:nat) (m:nat) (k:nat{n < k && m < k})
: Lemma (n * m < k * k) =
calc (<=) {
n * m;
<= { lemma_mult_le_left n m (k - 1) }
n * (k - 1);
<= { lemma_mult_le_right (k - 1) n (k - 1) }
(k - 1) * (k - 1);
<= {}
k*k - 1;
}
(* Lemma: multiplication on integers is commutative *)
val swap_mul: a:int -> b:int -> Lemma (a * b = b * a)
let swap_mul a b = ()
val lemma_cancel_mul (a b : int) (n : pos) : Lemma (requires (a * n = b * n)) (ensures (a = b))
let lemma_cancel_mul a b n = ()
(* Lemma: multiplication is right distributive over addition *)
val distributivity_add_left: a:int -> b:int -> c:int -> Lemma
((a + b) * c = a * c + b * c)
let distributivity_add_left a b c = ()
(* Lemma: multiplication is left distributive over addition *)
val distributivity_add_right: a:int -> b:int -> c:int -> Lemma
(a * (b + c) = a * b + a * c)
let distributivity_add_right a b c =
calc (==) {
a * (b + c);
== {}
(b + c) * a;
== { distributivity_add_left b c a }
b * a + c * a;
== {}
a * b + a * c;
}
(* Lemma: multiplication is associative, hence parenthesizing is meaningless *)
(* GM: This is really just an identity since the LHS is associated to the left *)
val paren_mul_left: a:int -> b:int -> c:int -> Lemma
(a * b * c = (a * b) * c)
let paren_mul_left a b c = ()
(* Lemma: multiplication is associative, hence parenthesizing is meaningless *)
val paren_mul_right: a:int -> b:int -> c:int -> Lemma
(a * b * c = a * (b * c))
let paren_mul_right a b c = ()
(* Lemma: addition is associative, hence parenthesizing is meaningless *)
val paren_add_left: a:int -> b:int -> c:int -> Lemma
(a + b + c = (a + b) + c)
let paren_add_left a b c = ()
(* Lemma: addition is associative, hence parenthesizing is meaningless *)
val paren_add_right: a:int -> b:int -> c:int -> Lemma
(a + b + c = a + (b + c))
let paren_add_right a b c = ()
val addition_is_associative: a:int -> b:int -> c:int -> Lemma
(a + b + c = (a + b) + c /\ a + b + c = a + (b + c))
let addition_is_associative a b c = ()
val subtraction_is_distributive: a:int -> b:int -> c:int -> Lemma
(a - b + c = (a - b) + c /\
a - b - c = a - (b + c) /\
a - b - c = (a - b) - c /\
a + (-b - c) = a - b - c /\
a - (b - c) = a - b + c)
let subtraction_is_distributive a b c = ()
val swap_add_plus_minus: a:int -> b:int -> c:int -> Lemma
(a + b - c = (a - c) + b)
let swap_add_plus_minus a b c = ()
(* Lemma: minus applies to the whole term *)
val neg_mul_left: a:int -> b:int -> Lemma (-(a * b) = (-a) * b)
let neg_mul_left a b = ()
(* Lemma: minus applies to the whole term *)
val neg_mul_right: a:int -> b:int -> Lemma (-(a * b) = a * (-b))
let neg_mul_right a b = ()
val swap_neg_mul: a:int -> b:int -> Lemma ((-a) * b = a * (-b))
let swap_neg_mul a b =
neg_mul_left a b;
neg_mul_right a b
(* Lemma: multiplication is left distributive over subtraction *)
val distributivity_sub_left: a:int -> b:int -> c:int ->
Lemma ((a - b) * c = a * c - b * c)
let distributivity_sub_left a b c =
calc (==) {
(a - b) * c;
== {}
(a + (-b)) * c;
== { distributivity_add_left a (-b) c }
a * c + (-b) * c;
== { neg_mul_left b c }
a * c - b * c;
}
(* Lemma: multiplication is right distributive over subtraction *)
val distributivity_sub_right: a:int -> b:int -> c:int -> | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.Math.Lib.fst.checked",
"FStar.Calc.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.Math.Lemmas.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Math.Lib",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 0,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | a: Prims.int -> b: Prims.int -> c: Prims.int
-> FStar.Pervasives.Lemma (ensures a * (b - c) = a * b - a * c) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"Prims.int",
"FStar.Calc.calc_finish",
"Prims.eq2",
"FStar.Mul.op_Star",
"Prims.op_Subtraction",
"Prims.Cons",
"FStar.Preorder.relation",
"Prims.Nil",
"Prims.unit",
"FStar.Calc.calc_step",
"Prims.op_Addition",
"Prims.op_Minus",
"FStar.Calc.calc_init",
"FStar.Calc.calc_pack",
"Prims.squash",
"FStar.Math.Lemmas.distributivity_add_right",
"FStar.Math.Lemmas.neg_mul_right"
] | [] | false | false | true | false | false | let distributivity_sub_right a b c =
| calc ( == ) {
a * (b - c);
( == ) { () }
a * (b + (- c));
( == ) { distributivity_add_right a b (- c) }
a * b + a * (- c);
( == ) { neg_mul_right a c }
a * b - a * c;
} | false |
FStar.Math.Lemmas.fst | FStar.Math.Lemmas.distributivity_sub_left | val distributivity_sub_left: a:int -> b:int -> c:int ->
Lemma ((a - b) * c = a * c - b * c) | val distributivity_sub_left: a:int -> b:int -> c:int ->
Lemma ((a - b) * c = a * c - b * c) | let distributivity_sub_left a b c =
calc (==) {
(a - b) * c;
== {}
(a + (-b)) * c;
== { distributivity_add_left a (-b) c }
a * c + (-b) * c;
== { neg_mul_left b c }
a * c - b * c;
} | {
"file_name": "ulib/FStar.Math.Lemmas.fst",
"git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | {
"end_col": 3,
"end_line": 153,
"start_col": 0,
"start_line": 144
} | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.Math.Lemmas
open FStar.Mul
open FStar.Math.Lib
#push-options "--fuel 0 --ifuel 0"
(* Lemma: definition of Euclidean division *)
val euclidean_div_axiom: a:int -> b:pos -> Lemma
(a - b * (a / b) >= 0 /\ a - b * (a / b) < b)
let euclidean_div_axiom a b = ()
val lemma_eucl_div_bound: a:int -> b:int -> q:int -> Lemma
(requires (a < q))
(ensures (a + q * b < q * (b+1)))
let lemma_eucl_div_bound a b q = ()
val lemma_mult_le_left: a:nat -> b:int -> c:int -> Lemma
(requires (b <= c))
(ensures (a * b <= a * c))
let lemma_mult_le_left a b c = ()
val lemma_mult_le_right: a:nat -> b:int -> c:int -> Lemma
(requires (b <= c))
(ensures (b * a <= c * a))
let lemma_mult_le_right a b c = ()
val lemma_mult_lt_left: a:pos -> b:int -> c:int -> Lemma
(requires (b < c))
(ensures (a * b < a * c))
let lemma_mult_lt_left a b c = ()
val lemma_mult_lt_right: a:pos -> b:int -> c:int -> Lemma
(requires (b < c))
(ensures (b * a < c * a))
let lemma_mult_lt_right a b c = ()
let lemma_mult_lt_sqr (n:nat) (m:nat) (k:nat{n < k && m < k})
: Lemma (n * m < k * k) =
calc (<=) {
n * m;
<= { lemma_mult_le_left n m (k - 1) }
n * (k - 1);
<= { lemma_mult_le_right (k - 1) n (k - 1) }
(k - 1) * (k - 1);
<= {}
k*k - 1;
}
(* Lemma: multiplication on integers is commutative *)
val swap_mul: a:int -> b:int -> Lemma (a * b = b * a)
let swap_mul a b = ()
val lemma_cancel_mul (a b : int) (n : pos) : Lemma (requires (a * n = b * n)) (ensures (a = b))
let lemma_cancel_mul a b n = ()
(* Lemma: multiplication is right distributive over addition *)
val distributivity_add_left: a:int -> b:int -> c:int -> Lemma
((a + b) * c = a * c + b * c)
let distributivity_add_left a b c = ()
(* Lemma: multiplication is left distributive over addition *)
val distributivity_add_right: a:int -> b:int -> c:int -> Lemma
(a * (b + c) = a * b + a * c)
let distributivity_add_right a b c =
calc (==) {
a * (b + c);
== {}
(b + c) * a;
== { distributivity_add_left b c a }
b * a + c * a;
== {}
a * b + a * c;
}
(* Lemma: multiplication is associative, hence parenthesizing is meaningless *)
(* GM: This is really just an identity since the LHS is associated to the left *)
val paren_mul_left: a:int -> b:int -> c:int -> Lemma
(a * b * c = (a * b) * c)
let paren_mul_left a b c = ()
(* Lemma: multiplication is associative, hence parenthesizing is meaningless *)
val paren_mul_right: a:int -> b:int -> c:int -> Lemma
(a * b * c = a * (b * c))
let paren_mul_right a b c = ()
(* Lemma: addition is associative, hence parenthesizing is meaningless *)
val paren_add_left: a:int -> b:int -> c:int -> Lemma
(a + b + c = (a + b) + c)
let paren_add_left a b c = ()
(* Lemma: addition is associative, hence parenthesizing is meaningless *)
val paren_add_right: a:int -> b:int -> c:int -> Lemma
(a + b + c = a + (b + c))
let paren_add_right a b c = ()
val addition_is_associative: a:int -> b:int -> c:int -> Lemma
(a + b + c = (a + b) + c /\ a + b + c = a + (b + c))
let addition_is_associative a b c = ()
val subtraction_is_distributive: a:int -> b:int -> c:int -> Lemma
(a - b + c = (a - b) + c /\
a - b - c = a - (b + c) /\
a - b - c = (a - b) - c /\
a + (-b - c) = a - b - c /\
a - (b - c) = a - b + c)
let subtraction_is_distributive a b c = ()
val swap_add_plus_minus: a:int -> b:int -> c:int -> Lemma
(a + b - c = (a - c) + b)
let swap_add_plus_minus a b c = ()
(* Lemma: minus applies to the whole term *)
val neg_mul_left: a:int -> b:int -> Lemma (-(a * b) = (-a) * b)
let neg_mul_left a b = ()
(* Lemma: minus applies to the whole term *)
val neg_mul_right: a:int -> b:int -> Lemma (-(a * b) = a * (-b))
let neg_mul_right a b = ()
val swap_neg_mul: a:int -> b:int -> Lemma ((-a) * b = a * (-b))
let swap_neg_mul a b =
neg_mul_left a b;
neg_mul_right a b
(* Lemma: multiplication is left distributive over subtraction *)
val distributivity_sub_left: a:int -> b:int -> c:int -> | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.Math.Lib.fst.checked",
"FStar.Calc.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.Math.Lemmas.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Math.Lib",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 0,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | a: Prims.int -> b: Prims.int -> c: Prims.int
-> FStar.Pervasives.Lemma (ensures (a - b) * c = a * c - b * c) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"Prims.int",
"FStar.Calc.calc_finish",
"Prims.eq2",
"FStar.Mul.op_Star",
"Prims.op_Subtraction",
"Prims.Cons",
"FStar.Preorder.relation",
"Prims.Nil",
"Prims.unit",
"FStar.Calc.calc_step",
"Prims.op_Addition",
"Prims.op_Minus",
"FStar.Calc.calc_init",
"FStar.Calc.calc_pack",
"Prims.squash",
"FStar.Math.Lemmas.distributivity_add_left",
"FStar.Math.Lemmas.neg_mul_left"
] | [] | false | false | true | false | false | let distributivity_sub_left a b c =
| calc ( == ) {
(a - b) * c;
( == ) { () }
(a + (- b)) * c;
( == ) { distributivity_add_left a (- b) c }
a * c + (- b) * c;
( == ) { neg_mul_left b c }
a * c - b * c;
} | false |
Vale.Poly1305.X64.fst | Vale.Poly1305.X64.va_code_Poly1305 | val va_code_Poly1305 : win:bool -> Tot va_code | val va_code_Poly1305 : win:bool -> Tot va_code | let va_code_Poly1305 win =
(va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRax) (va_op_opr64_reg64 rRdi)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR11)
(va_op_opr64_reg64 rRsi)) (va_CCons (if win then va_Block (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR9)) (va_CNil ()))))) else va_Block (va_CNil
())) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64
rRdi) (va_op_reg_opr64_reg64 rRcx) 184 Public) (va_CCons (va_code_Push_Secret
(va_op_reg_opr64_reg64 rRbx)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRbp))
(va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRax)) (va_CCons (va_code_Push_Secret
(va_op_reg_opr64_reg64 rR11)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rR12))
(va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rR13)) (va_CCons (va_code_Push_Secret
(va_op_reg_opr64_reg64 rR14)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rR15))
(va_CCons (va_code_Poly1305_impl ()) (va_CCons (va_code_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR14) 0
Public) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64
rRdi) (va_op_reg_opr64_reg64 rRbx) 8 Public) (va_CCons (va_code_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRbp) 16
Public) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rR15)) (va_CCons
(va_code_Pop_Secret (va_op_dst_opr64_reg64 rR14)) (va_CCons (va_code_Pop_Secret
(va_op_dst_opr64_reg64 rR13)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rR12))
(va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_CCons (va_code_Pop_Secret
(va_op_dst_opr64_reg64 rRax)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRbp))
(va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_DestroyHeaplets ())
(va_CNil ()))))))))))))))))))))))))))))) | {
"file_name": "obj/Vale.Poly1305.X64.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 44,
"end_line": 2774,
"start_col": 0,
"start_line": 2747
} | module Vale.Poly1305.X64
open Vale.Def.Opaque_s
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.Poly1305.Spec_s
open Vale.Poly1305.Math
open Vale.Poly1305.Util
#reset-options "--z3rlimit 40"
//-- Poly1305_multiply
val va_code_Poly1305_multiply : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_multiply () =
(va_Block (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap
(va_op_opr64_reg64 rR14)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR11)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons
(va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRbp)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR13)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10)
(va_const_opr64 0)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64
rR11)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CNil
()))))))))))))))))))))))))))
val va_codegen_success_Poly1305_multiply : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_multiply () =
(va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_pbool_and
(va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR13)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9)
(va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRax) (va_const_opr64 18446744073709551612)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_ttrue ())))))))))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_multiply (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_multiply ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 93 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR14 va_s) r1 == va_mul_nat r1 (va_get_reg64 rR14 va_s)) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 94 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rR14 va_s) == va_mul_nat (va_get_reg64 rR14
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 95 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR11 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR11 va_s)) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 97 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat (va_get_reg64 rR13 va_s) (va_get_reg64 rRbx va_s) == va_mul_nat (va_get_reg64 rRbx
va_s) (va_get_reg64 rR13 va_s)) (let (gd0:int) = va_mul_nat (va_get_reg64 rR14 va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbx va_s) (va_get_reg64 rR13 va_s) in let
(gd1:int) = va_mul_nat (va_get_reg64 rR14 va_s) r1 + va_mul_nat (va_get_reg64 rRbx va_s)
(va_get_reg64 rR11 va_s) + va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR13 va_s) in let
(gd2:int) = va_mul_nat (va_get_reg64 rRbp va_s) (va_get_reg64 rR11 va_s) in va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 105 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.va_is_src_opr64 (Vale.X64.Decls.va_op_opr64_reg64 rR14) va_s) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 106 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 107 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 108 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 109 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 112 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 113 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 114 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 115 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 118 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 119 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 120 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 121 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 124 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mul64Wrap (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 125 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 126 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 127 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 130 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 131 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 132 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 133 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 136 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_IMul64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 138 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 139 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 18446744073709551612)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 140 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (fun (va_s:va_state)
_ -> let (hh:int) = va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_s) + va_mul_nat n
(va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in let (va_arg61:Prims.int) = hh in let
(va_arg60:Prims.int) = gd2 in let (va_arg59:Prims.int) = gd1 in let (va_arg58:Prims.int) = gd0
in let (va_arg57:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg56:Prims.int) = va_get_reg64
rRbp va_old_s in let (va_arg55:Prims.int) = va_get_reg64 rRbx va_old_s in let
(va_arg54:Prims.int) = va_get_reg64 rR14 va_old_s in let (va_arg53:Prims.int) = r1 in let
(va_arg52:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg51:Prims.int) = h in let
(va_arg50:Prims.int) = r in let (va_arg49:Prims.int) = p in let (va_arg48:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_multiply va_arg48 va_arg49 va_arg50 va_arg51
va_arg52 va_arg53 va_arg54 va_arg55 va_arg56 va_arg57 va_arg58 va_arg59 va_arg60 va_arg61)
(va_QEmpty ((hh))))))))))))))))))))))))))))))))))
val va_lemma_Poly1305_multiply : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_multiply ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1
`op_Division` 4 /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7
`op_Multiply` (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) <
va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64
rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0)
(va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp
va_s0) (va_get_reg64 rR13 va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) /\ va_state_eq
va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_multiply va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_multiply va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_multiply ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 62 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 88 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 89 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 90 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM
`op_Division` 4 < 18446744073709551616) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 91 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == 18446744073709551612))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_multiply (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_mul_nat
(va_get_reg64 rRbp va_s0) (va_get_reg64 rR11 va_s0) < 7 `op_Multiply` (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rR14 va_s0) r1 < va_mul_nat n (n `op_Division` 16) /\ va_mul_nat
(va_get_reg64 rRbx va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n `op_Division` 16) /\
va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13 va_s0) < va_mul_nat n (n `op_Division`
8) /\ va_mul_nat (va_get_reg64 rR14 va_s0) (va_get_reg64 rR11 va_s0) < va_mul_nat n (n
`op_Division` 16) /\ va_mul_nat (va_get_reg64 rRbx va_s0) (va_get_reg64 rR13 va_s0) <
va_mul_nat n (n `op_Division` 8) /\ va_mul_nat (va_get_reg64 rRbp va_s0) (va_get_reg64 rR13
va_s0) < 7 `op_Multiply` (5 `op_Multiply` n `op_Division` 64) /\ va_get_reg64 rRax va_s0 == r1)
/\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) (hh:int) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14
(va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0))))))))
in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rR10 va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p /\
va_get_reg64 rR10 va_sM `op_Division` 4 `op_Multiply` 4 + va_get_reg64 rR10 va_sM `op_Division`
4 < 18446744073709551616 /\ va_get_reg64 rRax va_sM == 18446744073709551612) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_multiply : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_multiply r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_multiply ()) ([va_Mod_flags;
va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_multiply r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_multiply (va_code_Poly1305_multiply ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64
rRax va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok
va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_multiply (r1:nat64) : (va_quickCode int (va_code_Poly1305_multiply ())) =
(va_QProc (va_code_Poly1305_multiply ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8]) (va_wp_Poly1305_multiply r1) (va_wpProof_Poly1305_multiply r1))
//--
//-- Poly1305_reduce
val va_code_Poly1305_reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce () =
(va_Block (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_CCons
(va_code_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))
val va_codegen_success_Poly1305_reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce () =
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_ttrue ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce (va_mods:va_mods_t) : (va_quickCode (int) (va_code_Poly1305_reduce
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s) + va_mul_nat n (va_get_reg64 rRbx va_s) + va_get_reg64 rR14 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 164 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 166 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 167 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 168 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 169 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 170 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 171 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 172 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 173 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
let (h10:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat n (va_get_reg64
rRbx va_old_s) + va_get_reg64 rR14 va_old_s in let (hh:int) = h10 + va_get_reg64 rRax va_s +
va_mul_nat (va_get_reg64 rR10 va_old_s `op_Modulus` 4) (va_mul_nat n n) in let
(va_arg27:Prims.int) = hh in let (va_arg26:Prims.int) = va_get_reg64 rRax va_s in let
(va_arg25:Prims.int) = h10 in let (va_arg24:Prims.int) = va_get_reg64 rR10 va_old_s in let
(va_arg23:Prims.int) = hd in let (va_arg22:Prims.int) = p in let (va_arg21:Prims.int) = n in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 177 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_reduce va_arg21 va_arg22 va_arg23 va_arg24
va_arg25 va_arg26 va_arg27) (va_QEmpty ((hh))))))))))))))
val va_lemma_Poly1305_reduce : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 ==
18446744073709551612)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh
`op_Modulus` p /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 147 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in label va_range1
"***** POSTCONDITION NOT MET AT line 160 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 161 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hd `op_Modulus` p == hh `op_Modulus` p) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 162 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_reduce (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(hd:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_mul_nat n n) (va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) +
va_get_reg64 rR14 va_s0 in va_get_reg64 rR10 va_s0 `op_Division` 4 `op_Multiply` 4 +
va_get_reg64 rR10 va_s0 `op_Division` 4 < n /\ va_get_reg64 rRax va_s0 == 18446744073709551612)
/\ (forall (va_x_rax:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (hd:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_mul_nat n n)
(va_get_reg64 rR10 va_s0) + va_mul_nat n (va_get_reg64 rRbx va_s0) + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ hd `op_Modulus` p == hh `op_Modulus` p /\ va_get_reg64 rRbp
va_sM < 5) ==> va_k va_sM ((hh))))
val va_wpProof_Poly1305_reduce : va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_reduce (va_code_Poly1305_reduce ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce () : (va_quickCode int (va_code_Poly1305_reduce ())) =
(va_QProc (va_code_Poly1305_reduce ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rRax]) va_wp_Poly1305_reduce
va_wpProof_Poly1305_reduce)
//--
//-- Poly1305_iteration
val va_code_Poly1305_iteration : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_iteration () =
(va_Block (va_CCons (va_code_Poly1305_multiply ()) (va_CCons (va_code_Poly1305_reduce ())
(va_CNil ()))))
val va_codegen_success_Poly1305_iteration : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_iteration () =
(va_pbool_and (va_codegen_success_Poly1305_multiply ()) (va_pbool_and
(va_codegen_success_Poly1305_reduce ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_iteration (va_mods:va_mods_t) (r1:nat64) : (va_quickCode (int)
(va_code_Poly1305_iteration ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s) n +
va_get_reg64 rR14 va_s in let (va_arg50:Prims.int) = n `op_Division` 16 in let
(va_arg49:Prims.int) = va_get_reg64 rR11 va_s in let (va_arg48:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg48 7 va_arg49 va_arg50)
(let (va_arg47:Prims.int) = n `op_Division` 16 in let (va_arg46:Prims.int) = r1 in let
(va_arg45:Prims.int) = n in let (va_arg44:Prims.int) = va_get_reg64 rR14 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 211 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg44 va_arg45 va_arg46
va_arg47) (let (va_arg43:Prims.int) = n `op_Division` 16 in let (va_arg42:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg41:Prims.int) = n in let (va_arg40:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg40 va_arg41 va_arg42
va_arg43) (let (va_arg39:Prims.int) = n `op_Division` 8 in let (va_arg38:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg37:Prims.int) = n in let (va_arg36:Prims.int) =
va_get_reg64 rRbp va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg36 va_arg37 va_arg38
va_arg39) (let (va_arg35:Prims.int) = n `op_Division` 16 in let (va_arg34:Prims.int) =
va_get_reg64 rR11 va_s in let (va_arg33:Prims.int) = n in let (va_arg32:Prims.int) =
va_get_reg64 rR14 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg32 va_arg33 va_arg34
va_arg35) (let (va_arg31:Prims.int) = n `op_Division` 8 in let (va_arg30:Prims.int) =
va_get_reg64 rR13 va_s in let (va_arg29:Prims.int) = n in let (va_arg28:Prims.int) =
va_get_reg64 rRbx va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 215 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg28 va_arg29 va_arg30
va_arg31) (let (va_arg27:Prims.int) = 5 `op_Multiply` n `op_Division` 64 in let
(va_arg26:Prims.int) = va_get_reg64 rR13 va_s in let (va_arg25:Prims.int) = va_get_reg64 rRbp
va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 216 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mul_strict_upper_bound va_arg25 7 va_arg26 va_arg27)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 218 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_multiply r1) (fun (va_s:va_state) (hd:int) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_reduce ()) (fun (va_s:va_state) (hh:int) -> va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 220 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 221 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(l_and (hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_s) + va_mul_nat n (va_get_reg64
rRbx va_s) + va_get_reg64 rR14 va_s) (va_mul_nat h r `op_Modulus` p == hh `op_Modulus` p))
(va_QEmpty ((hh)))))))))))))))
val va_lemma_Poly1305_iteration : va_b0:va_code -> va_s0:va_state -> r1:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_iteration ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1)))
(ensures (fun (va_sM, va_fM, hh) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp (va_mul_nat h r) ==
Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_iteration va_b0 va_s0 r1 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok] in
let va_qc = va_qcode_Poly1305_iteration va_mods r1 in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_iteration ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let hh = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 180 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
label va_range1
"***** POSTCONDITION NOT MET AT line 200 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) + va_mul_nat n (va_get_reg64 rRbx
va_sM) + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 201 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp (va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 202 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax;
va_Mod_ok]) va_sM va_s0;
let hh = va_g in
(va_sM, va_fM, hh)
[@ va_qattr]
let va_wp_Poly1305_iteration (r1:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r:(va_int_range 0 340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64
rR11 va_s0 in let (h:(va_int_range 0
6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat (va_get_reg64 rRbp
va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n + va_get_reg64 rR14 va_s0 in
va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n `op_Division` 16 /\ r1 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division` 4 /\ va_get_reg64 rRbp va_s0 < 7 /\
va_get_reg64 rRax va_s0 == r1) /\ (forall (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64)
(va_x_efl:Vale.X64.Flags.t) (hh:int) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp
va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r:(va_int_range 0
340282366920938463463374607431768211455)) = va_mul_nat r1 n + va_get_reg64 rR11 va_s0 in let
(h:(va_int_range 0 6277101735386680763835789423207666416102355444464034512895)) = va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx va_s0) n +
va_get_reg64 rR14 va_s0 in hh == va_mul_nat (va_mul_nat n n) (va_get_reg64 rRbp va_sM) +
va_mul_nat n (va_get_reg64 rRbx va_sM) + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp
(va_mul_nat h r) == Vale.Poly1305.Spec_s.modp hh /\ va_get_reg64 rRbp va_sM < 5) ==> va_k va_sM
((hh))))
val va_wpProof_Poly1305_iteration : r1:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_iteration r1 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_iteration ()) ([va_Mod_flags;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_iteration r1 va_s0 va_k =
let (va_sM, va_f0, hh) = va_lemma_Poly1305_iteration (va_code_Poly1305_iteration ()) va_s0 r1 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax])
va_sM va_s0;
let va_g = (hh) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_iteration (r1:nat64) : (va_quickCode int (va_code_Poly1305_iteration ())) =
(va_QProc (va_code_Poly1305_iteration ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRax]) (va_wp_Poly1305_iteration r1) (va_wpProof_Poly1305_iteration r1))
//--
//-- Poly1305_blocks_body0
val va_code_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_body0 () =
(va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Public))
(va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_CCons
(va_code_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (va_CCons
(va_code_Poly1305_iteration ()) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64
1)) (va_CNil ())))))))))))
val va_codegen_success_Poly1305_blocks_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_body0 () =
(va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0)
(va_op_reg64_reg64 rRsi) 0 Public)) (va_pbool_and (va_codegen_success_Mem64_lemma ())
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64
(va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_pbool_and
(va_codegen_success_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi)
(va_const_opr64 16)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Poly1305_iteration ())
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1))
(va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_body0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in let (nn:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (hp:int) = h in let (h:int) = h +
va_mul_nat (va_mul_nat nn nn) (va_get_reg64 rRcx va_s) + va_mul_nat nn
(Vale.X64.Decls.buffer64_read inp_b (word_index + 1) (va_get_mem_heaplet 0 va_s)) +
Vale.X64.Decls.buffer64_read inp_b word_index (va_get_mem_heaplet 0 va_s) in let (hq:int) = h
in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inp_b word_index
Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 353 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 0 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inp_b
(word_index + 1) Public) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet
0) (va_op_reg64_reg64 rRsi) 8 Public)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 355 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_AddLea64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRsi) (va_const_opr64 16))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 356 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state)
_ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 358 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hq == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat nn nn) + va_mul_nat (va_get_reg64 rRbx
va_s) nn + va_get_reg64 rR14 va_s) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 360 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration (va_get_reg64 rR12 va_s)) (fun (va_s:va_state) (h:int) -> va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 362 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 363 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rR15) (va_const_opr64 1)) (fun (va_s:va_state) _ -> let
(word_index:nat) = word_index + 2 in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 366 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index) (let
(va_arg50:Prims.int) = word_index in let (va_arg49:(FStar.Seq.Base.seq Vale.X64.Memory.nat64))
= Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b in let (va_arg48:Prims.int)
= r in let (va_arg47:Prims.int) = va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let
(va_arg46:Prims.int) = Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 368 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg46 va_arg47 va_arg48
va_arg49 va_arg50) (let (va_arg45:Prims.int) = word_index - 2 in let
(va_arg44:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg43:Prims.int) = r in let (va_arg42:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat nn nn) in let (va_arg41:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 369 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg41 va_arg42 va_arg43
va_arg44 va_arg45) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 370 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:Prims.int) = r in let (va_arg39:Prims.int) = hq - hp in let (va_arg38:Prims.int) = hp
in let (va_arg37:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg37 va_arg38 va_arg39 va_arg40)
(va_QEmpty (())))))) (va_QEmpty ((h, word_index)))))))))))))))
val va_lemma_Poly1305_blocks_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old /\ va_get_reg64 rR15 va_s0 =!= 0))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15
va_s0) /\ va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_body0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_body0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_body0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 345 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
va_get_reg64 rR15 va_s0 =!= 0 /\ (forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_rax:nat64) (va_x_rbp:nat64) (va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int)
(word_index:nat) . let va_sM = va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx
(va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64
rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10 (va_upd_ok va_x_ok (va_upd_flags va_x_efl
va_s0))))))))))) in va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n ==
va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\
va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h ==
va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64
rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12
va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64
rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM ==
va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM
== va_get_reg64 rRsi va_old + va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64
/\ va_in_length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8
`op_Multiply` (word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8
`op_Multiply` word_index == va_in_length /\ va_get_reg64 rRsi va_sM + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) +
8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_sM < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM)
(va_get_reg64 rRdi va_sM) va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old /\
precedes_wrap (va_get_reg64 rR15 va_sM) (va_get_reg64 rR15 va_s0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_body0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int ->
va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_body0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_body0 (va_code_Poly1305_blocks_body0
()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r
va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_body0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_body0 ())) =
(va_QProc (va_code_Poly1305_blocks_body0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64
rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_body0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_body0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks_while0
val va_code_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks_while0 () =
(va_Block (va_CCons (va_While (va_cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (va_Block
(va_CCons (va_code_Poly1305_blocks_body0 ()) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Poly1305_blocks_while0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks_while0 () =
(va_pbool_and (va_codegen_success_Poly1305_blocks_body0 ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_ctx_b:buffer64)
(va_in_h_in:int) (va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range
18446744073709551616 18446744073709551616)) (va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) (va_in_r:int)
(va_in_h:int) (va_in_word_index:nat) : (va_quickCode (int & nat) (va_code_Poly1305_blocks_while0
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (ctx_b:buffer64) =
va_in_ctx_b in let (h_in:int) = va_in_h_in in let (inp_b:buffer64) = va_in_inp_b in let
(length:int) = va_in_length in let (n:(va_int_range 18446744073709551616 18446744073709551616))
= va_in_n in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_in_p in let (r:int) = va_in_r in let (h:int) =
va_in_h in let (word_index:nat) = va_in_word_index in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_qWhile va_mods (Cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (fun va_g -> let (h:int) =
let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g in
word_index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_body0 va_old ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QEmpty ((h, word_index))))) (fun
(va_s:va_state) va_g -> let (h:int) = let (h, word_index) = va_g in h in let (word_index:nat) =
let (h, word_index) = va_g in word_index in va_get_ok va_s /\ n == pow2_64 /\ va_mul_nat n n ==
va_mul_nat pow2_64 pow2_64 /\ p == va_mul_nat n n `op_Multiply` 4 - 5 /\ r == va_mul_nat
(va_get_reg64 rR12 va_s) n + va_get_reg64 rR11 va_s /\ h == va_mul_nat (va_get_reg64 rRbp va_s)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s) pow2_64 + va_get_reg64 rR14
va_s /\ va_get_reg64 rR11 va_s < n `op_Division` 16 /\ va_get_reg64 rR12 va_s < n `op_Division`
16 /\ va_get_reg64 rR12 va_s `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s == va_get_reg64 rR12
va_s + va_get_reg64 rR12 va_s `op_Division` 4 /\ va_get_reg64 rRbp va_s < 5 /\ va_get_reg64
rRax va_s == va_get_reg64 rR12 va_s /\ va_get_reg64 rRsi va_s + 16 `op_Multiply` va_get_reg64
rR15 va_s == va_get_reg64 rRsi va_old + length /\ va_get_reg64 rRsi va_old + length < pow2_64
/\ length == va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s =!= 0 ==> 8 `op_Multiply`
(word_index + 1) <= length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s + 8 `op_Multiply`
word_index == length /\ va_get_reg64 rRsi va_s + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 inp_b (va_get_mem_heaplet 0 va_s) + 8 `op_Multiply` word_index /\
va_get_reg64 rR15 va_s `op_Multiply` 16 <= length /\ va_get_reg64 rRcx va_s < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s) (va_get_reg64 rRdi va_s) ctx_b 24
(va_get_mem_layout va_s) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s)
(va_get_reg64 rRsi va_old) inp_b (length `op_Division` 8) (va_get_mem_layout va_s) Public /\
va_get_reg64 rRdi va_s == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s == va_get_reg64
rRcx va_old /\ (va_get_reg64 rRsi va_s - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) word_index /\
va_get_mem_heaplet 1 va_s == va_get_mem_heaplet 1 va_old) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in va_get_reg64 rR15 va_s) ((h, word_index))) (fun (va_s:va_state) va_g -> let
(h:int) = let (h, word_index) = va_g in h in let (word_index:nat) = let (h, word_index) = va_g
in word_index in let va_g = (h, word_index) in let ((h:int), (word_index:nat)) = va_g in
va_QEmpty ((h, word_index)))))
val va_lemma_Poly1305_blocks_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_ctx_b:buffer64 -> va_in_h_in:int -> va_in_inp_b:buffer64 -> va_in_length:int ->
va_in_n:(va_int_range 18446744073709551616 18446744073709551616) -> va_in_p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) -> va_in_r:int
-> va_in_h:int -> va_in_word_index:nat
-> Ghost (va_state & va_fuel & int & nat)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks_while0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p ==
va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12
va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat (va_get_reg64 rRbp va_s0)
(va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0) pow2_64 + va_get_reg64 rR14
va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 <
va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13
va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division` 4 /\ va_get_reg64 rRbp
va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\ va_get_reg64 rRsi va_s0 + 16
`op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply` (va_in_word_index + 1) <= va_in_length)
/\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8 `op_Multiply` va_in_word_index == va_in_length
/\ va_get_reg64 rRsi va_s0 + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_s0) + 8 `op_Multiply` va_in_word_index /\ va_get_reg64
rR15 va_s0 `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_s0 < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0)
va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRdi va_s0 == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_s0 - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp va_in_h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_s0) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s0) va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 ==
va_get_mem_heaplet 1 va_old))
(ensures (fun (va_sM, va_fM, h, word_index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\
va_get_ok va_sM /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64
rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 +
va_get_reg64 rR14 va_sM /\ va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64
rR12 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\
va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\
va_get_reg64 rRbp va_sM < 5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\
va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1)
<= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index ==
va_in_length /\ va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr
#Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index
/\ va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) /\ va_state_eq va_sM
(va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRbx va_sM
(va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM
(va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags va_sM va_s0))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_blocks_while0 va_b0 va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64
rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags] in
let va_qc = va_qcode_Poly1305_blocks_while0 va_mods va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks_while0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let (h, word_index) = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 317 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_n == pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 318 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 319 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n + va_get_reg64 rR11 va_sM) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 321 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 322 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 323 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM < va_in_n `op_Division` 16) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 324 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 325 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 326 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 328 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 16 `op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old
+ va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 329 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_old + va_in_length < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 330 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_in_length == va_get_reg64 rRdx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 332 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 333 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(16 `op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 334 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64
va_in_inp_b (va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 336 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_sM `op_Multiply` 16 <= va_in_length) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 337 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM < 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 338 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 339 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 340 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 341 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 342 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
((va_get_reg64 rRsi va_sM - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 343 column 120 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM)
va_in_inp_b) word_index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 344 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_mem_heaplet 1 va_sM == va_get_mem_heaplet 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 224 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(~(va_get_reg64 rR15 va_sM =!= 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let (h, word_index) = va_g in
(va_sM, va_fM, h, word_index)
[@ va_qattr]
let va_wp_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat)
(va_s0:va_state) (va_k:(va_state -> (int & nat) -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_n == pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64
pow2_64 /\ va_in_p == va_mul_nat va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat
(va_get_reg64 rR12 va_s0) va_in_n + va_get_reg64 rR11 va_s0 /\ va_in_h == va_mul_nat
(va_get_reg64 rRbp va_s0) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_s0)
pow2_64 + va_get_reg64 rR14 va_s0 /\ va_get_reg64 rR11 va_s0 < va_in_n `op_Division` 16 /\
va_get_reg64 rR12 va_s0 < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_s0 `op_Modulus` 4 ==
0 /\ va_get_reg64 rR13 va_s0 == va_get_reg64 rR12 va_s0 + va_get_reg64 rR12 va_s0 `op_Division`
4 /\ va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rRax va_s0 == va_get_reg64 rR12 va_s0 /\
va_get_reg64 rRsi va_s0 + 16 `op_Multiply` va_get_reg64 rR15 va_s0 == va_get_reg64 rRsi va_old
+ va_in_length /\ va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length ==
va_get_reg64 rRdx va_old /\ (va_get_reg64 rR15 va_s0 =!= 0 ==> 8 `op_Multiply`
(va_in_word_index + 1) <= va_in_length) /\ 16 `op_Multiply` va_get_reg64 rR15 va_s0 + 8
`op_Multiply` va_in_word_index == va_in_length /\ va_get_reg64 rRsi va_s0 + 0 ==
Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b (va_get_mem_heaplet 0 va_s0) +
8 `op_Multiply` va_in_word_index /\ va_get_reg64 rR15 va_s0 `op_Multiply` 16 <= va_in_length /\
va_get_reg64 rRcx va_s0 < 2 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0)
(va_get_reg64 rRdi va_s0) va_in_ctx_b 24 (va_get_mem_layout va_s0) Public /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_old)
va_in_inp_b (va_in_length `op_Division` 8) (va_get_mem_layout va_s0) Public /\ va_get_reg64
rRdi va_s0 == va_get_reg64 rRdi va_old /\ va_get_reg64 rRcx va_s0 == va_get_reg64 rRcx va_old
/\ (va_get_reg64 rRsi va_s0 - va_get_reg64 rRsi va_old) `op_Modulus` 16 == 0 /\
Vale.Poly1305.Spec_s.modp va_in_h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat (va_get_reg64 rRcx va_s0) (va_mul_nat
va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s0)
va_in_inp_b) va_in_word_index /\ va_get_mem_heaplet 1 va_s0 == va_get_mem_heaplet 1 va_old /\
(forall (va_x_efl:Vale.X64.Flags.t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r14:nat64)
(va_x_r15:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_rax:nat64) (va_x_rbp:nat64)
(va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (h:int) (word_index:nat) . let va_sM =
va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10
(va_upd_ok va_x_ok (va_upd_flags va_x_efl va_s0))))))))))) in va_get_ok va_sM /\ va_in_n ==
pow2_64 /\ va_mul_nat va_in_n va_in_n == va_mul_nat pow2_64 pow2_64 /\ va_in_p == va_mul_nat
va_in_n va_in_n `op_Multiply` 4 - 5 /\ va_in_r == va_mul_nat (va_get_reg64 rR12 va_sM) va_in_n
+ va_get_reg64 rR11 va_sM /\ h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64
pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\
va_get_reg64 rR11 va_sM < va_in_n `op_Division` 16 /\ va_get_reg64 rR12 va_sM < va_in_n
`op_Division` 16 /\ va_get_reg64 rR12 va_sM `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_sM ==
va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRbp va_sM <
5 /\ va_get_reg64 rRax va_sM == va_get_reg64 rR12 va_sM /\ va_get_reg64 rRsi va_sM + 16
`op_Multiply` va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_old + va_in_length /\
va_get_reg64 rRsi va_old + va_in_length < pow2_64 /\ va_in_length == va_get_reg64 rRdx va_old
/\ (va_get_reg64 rR15 va_sM =!= 0 ==> 8 `op_Multiply` (word_index + 1) <= va_in_length) /\ 16
`op_Multiply` va_get_reg64 rR15 va_sM + 8 `op_Multiply` word_index == va_in_length /\
va_get_reg64 rRsi va_sM + 0 == Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint64 va_in_inp_b
(va_get_mem_heaplet 0 va_sM) + 8 `op_Multiply` word_index /\ va_get_reg64 rR15 va_sM
`op_Multiply` 16 <= va_in_length /\ va_get_reg64 rRcx va_sM < 2 /\
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM)
va_in_ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_old) va_in_inp_b (va_in_length `op_Division`
8) (va_get_mem_layout va_sM) Public /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_old /\
va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_old /\ (va_get_reg64 rRsi va_sM - va_get_reg64
rRsi va_old) `op_Modulus` 16 == 0 /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp va_in_h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat va_in_n va_in_n)) va_in_r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) va_in_inp_b) word_index /\ va_get_mem_heaplet 1 va_sM ==
va_get_mem_heaplet 1 va_old /\ ~(va_get_reg64 rR15 va_sM =!= 0) ==> va_k va_sM ((h,
word_index))))
val va_wpProof_Poly1305_blocks_while0 : va_old:va_state -> va_in_ctx_b:buffer64 -> va_in_h_in:int
-> va_in_inp_b:buffer64 -> va_in_length:int -> va_in_n:(va_int_range 18446744073709551616
18446744073709551616) -> va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819) -> va_in_r:int -> va_in_h:int -> va_in_word_index:nat
-> va_s0:va_state -> va_k:(va_state -> (int & nat) -> Type0)
-> Ghost (va_state & va_fuel & (int & nat))
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in
va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks_while0 ())
([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64
rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64
rR10; va_Mod_ok; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length
va_in_n va_in_p va_in_r va_in_h va_in_word_index va_s0 va_k =
let (va_sM, va_f0, h, word_index) = va_lemma_Poly1305_blocks_while0
(va_code_Poly1305_blocks_while0 ()) va_s0 va_old va_in_ctx_b va_in_h_in va_in_inp_b
va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRax va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_flags
va_sM va_s0)))))))))))));
va_lemma_norm_mods ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRbp;
va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags]) va_sM va_s0;
let va_g = (h, word_index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks_while0 (va_old:va_state) (va_in_ctx_b:buffer64) (va_in_h_in:int)
(va_in_inp_b:buffer64) (va_in_length:int) (va_in_n:(va_int_range 18446744073709551616
18446744073709551616)) (va_in_p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) (va_in_r:int) (va_in_h:int) (va_in_word_index:nat) :
(va_quickCode (int & nat) (va_code_Poly1305_blocks_while0 ())) =
(va_QProc (va_code_Poly1305_blocks_while0 ()) ([va_Mod_reg64 rRsi; va_Mod_reg64 rRdx;
va_Mod_reg64 rRbx; va_Mod_reg64 rRbp; va_Mod_reg64 rRax; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_flags])
(va_wp_Poly1305_blocks_while0 va_old va_in_ctx_b va_in_h_in va_in_inp_b va_in_length va_in_n
va_in_p va_in_r va_in_h va_in_word_index) (va_wpProof_Poly1305_blocks_while0 va_old va_in_ctx_b
va_in_h_in va_in_inp_b va_in_length va_in_n va_in_p va_in_r va_in_h va_in_word_index))
//--
//-- Poly1305_blocks
val va_code_Poly1305_blocks : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_blocks () =
(va_Block (va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi) 24 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRdi) 32
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rR14) (va_op_reg_opr64_reg64 rRdi) 0 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRdi) 8
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rRbp) (va_op_reg_opr64_reg64 rRdi) 16 Public) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64
rR12) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Shr64 (va_op_dst_opr64_reg64 rR13)
(va_const_shift_amt64 2)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rR13)
(va_op_opr64_reg64 rR12)) (va_CCons (va_code_Poly1305_blocks_while0 ()) (va_CCons
(va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR14) 0 Public) (va_CCons (va_code_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRbx) 8
Public) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64
rRdi) (va_op_reg_opr64_reg64 rRbp) 16 Public) (va_CNil ())))))))))))))))))
val va_codegen_success_Poly1305_blocks : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_blocks () =
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx))
(va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdi) 24 Public) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13)
(va_op_reg_opr64_reg64 rRdi) 32 Public) (va_pbool_and (va_codegen_success_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR14) (va_op_reg_opr64_reg64 rRdi) 0
Public) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRdi) 8 Public) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbp)
(va_op_reg_opr64_reg64 rRdi) 16 Public) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Shr64
(va_op_dst_opr64_reg64 rR13) (va_const_shift_amt64 2)) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_pbool_and (va_codegen_success_Add64
(va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rR12)) (va_pbool_and
(va_codegen_success_Poly1305_blocks_while0 ()) (va_pbool_and (va_codegen_success_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR14) 0
Public) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRbx) 8 Public) (va_pbool_and
(va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbp) 16 Public) (va_ttrue ()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_blocks (va_mods:va_mods_t) (r:int) (h_in:int) (ctx_b:buffer64)
(inp_b:buffer64) : (va_quickCode (int) (va_code_Poly1305_blocks ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 285 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (let (length:int) = va_get_reg64 rRdx
va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 289 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rRdx) (va_const_shift_amt64 4)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 292 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 294 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi) 24 Public ctx_b 3) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 295 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR13)
(va_op_reg_opr64_reg64 rRdi) 32 Public ctx_b 4) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 297 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR14)
(va_op_reg_opr64_reg64 rRdi) 0 Public ctx_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 298 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbx)
(va_op_reg_opr64_reg64 rRdi) 8 Public ctx_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 299 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRbp)
(va_op_reg_opr64_reg64 rRdi) 16 Public ctx_b 2) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 301 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR13) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 303 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR12)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 304 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rR12)) (fun (va_s:va_state) _
-> let (h:int) = h_in in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 307 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) 0) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 309 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp) (let
(va_arg40:(FStar.Seq.Base.seq Vale.X64.Memory.nat64)) = Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_s) inp_b in let (va_arg39:Prims.int) = r in let (va_arg38:Prims.int) =
va_mul_nat (va_get_reg64 rRcx va_s) (va_mul_nat n n) in let (va_arg37:Prims.int) =
Vale.Poly1305.Spec_s.modp h_in in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 310 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.reveal_poly1305_heap_blocks va_arg37 va_arg38 va_arg39
va_arg40 0) (va_QEmpty (())))) (let (word_index:nat) = 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 315 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks_while0 va_old_s ctx_b h_in inp_b length n p r h word_index) (fun
(va_s:va_state) va_g -> let (h, word_index) = va_g in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 374 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR14) 0 Public ctx_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 375 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbx) 8 Public ctx_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 376 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbp) 16 Public ctx_b 2) (va_QEmpty ((h)))))))))))))))))))))
val va_lemma_Poly1305_blocks : va_b0:va_code -> va_s0:va_state -> r:int -> h_in:int ->
ctx_b:buffer64 -> inp_b:buffer64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_blocks ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64 rRdx va_s0 `op_Modulus` 16 == 0 /\
va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 < pow2_64 /\ Vale.X64.Decls.validDstAddrs64
(va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) ctx_b 24 (va_get_mem_layout va_s0)
Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0)
inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout va_s0) Public /\ (let h0_in
= Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_s0) in let h1_in =
Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_s0) in let h2_in =
Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_s0) in let r0_in =
Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_s0) in let r1_in =
Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_s0) in h_in == va_mul_nat h2_in
(va_mul_nat n n) + va_mul_nat h1_in n + h0_in /\ r == va_mul_nat r1_in n + r0_in /\ r0_in < n
`op_Division` 16 /\ r1_in < n `op_Division` 16 /\ r1_in `op_Modulus` 4 == 0 /\ h2_in < 5 /\
va_get_reg64 rRcx va_s0 < 2))))
(ensures (fun (va_sM, va_fM, h) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64
rRbp va_sM < 5 /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64
rRdi va_sM) ctx_b 24 (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64
(va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0
`op_Division` 8) (va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.modifies_buffer_specific
ctx_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM) 0 2 /\ va_get_reg64 rR14 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbx va_sM
== Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbp va_sM
== Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR11 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR12 va_sM
== Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR13 va_sM
== va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRsi va_sM
== va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRcx va_sM == va_get_reg64
rRcx va_s0 /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0 /\ (let r0_in =
Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) in let r1_in =
Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) in h == va_mul_nat
(va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM)
pow2_64 + va_get_reg64 rR14 va_sM /\ Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Util.poly1305_heap_blocks (Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat
(va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r (Vale.X64.Decls.buffer64_as_seq
(va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0 `op_Division` 8))) /\ va_state_eq
va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM
(va_update_reg64 rRax va_sM (va_update_reg64 rRbp 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_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx 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_Poly1305_blocks va_b0 va_s0 r h_in ctx_b inp_b =
let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64
rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64
rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64
rRdx; va_Mod_reg64 rRsi; va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_Poly1305_blocks va_mods r h_in ctx_b inp_b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_blocks ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let h = 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/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in label
va_range1
"***** POSTCONDITION NOT MET AT line 264 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 265 column 66 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) ctx_b 24
(va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 266 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRsi va_s0) inp_b
(va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 267 column 65 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific ctx_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet
1 va_sM) 0 2) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 268 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR14 va_sM == Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 269 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbx va_sM == Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 270 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM == Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 271 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 272 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR12 va_sM == Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM))
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 273 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM + va_get_reg64 rR12 va_sM `op_Division` 4)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 274 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 277 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 278 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 280 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_sM) in label
va_range1
"***** POSTCONDITION NOT MET AT line 281 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_sM) in label
va_range1
"***** POSTCONDITION NOT MET AT line 282 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64 pow2_64) + va_mul_nat
(va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 283 column 118 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0
`op_Division` 8)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_ok; va_Mod_mem]) va_sM va_s0;
let h = va_g in
(va_sM, va_fM, h)
[@ va_qattr]
let va_wp_Poly1305_blocks (r:int) (h_in:int) (ctx_b:buffer64) (inp_b:buffer64) (va_s0:va_state)
(va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64
rRdx va_s0 `op_Modulus` 16 == 0 /\ va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 < pow2_64
/\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) ctx_b
24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0
va_s0) (va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8)
(va_get_mem_layout va_s0) Public /\ (let h0_in = Vale.X64.Decls.buffer64_read ctx_b 0
(va_get_mem_heaplet 1 va_s0) in let h1_in = Vale.X64.Decls.buffer64_read ctx_b 1
(va_get_mem_heaplet 1 va_s0) in let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2
(va_get_mem_heaplet 1 va_s0) in let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3
(va_get_mem_heaplet 1 va_s0) in let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4
(va_get_mem_heaplet 1 va_s0) in h_in == va_mul_nat h2_in (va_mul_nat n n) + va_mul_nat h1_in n
+ h0_in /\ r == va_mul_nat r1_in n + r0_in /\ r0_in < n `op_Division` 16 /\ r1_in < n
`op_Division` 16 /\ r1_in `op_Modulus` 4 == 0 /\ h2_in < 5 /\ va_get_reg64 rRcx va_s0 < 2)) /\
(forall (va_x_mem:vale_heap) (va_x_rsi:nat64) (va_x_rdx:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_r10:nat64) (va_x_r11:nat64) (va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64)
(va_x_rbx:nat64) (va_x_rbp:nat64) (va_x_rax:nat64) (va_x_r15:nat64) (va_x_efl:Vale.X64.Flags.t)
(va_x_heap1:vale_heap) (h:int) . let va_sM = va_upd_mem_heaplet 1 va_x_heap1 (va_upd_flags
va_x_efl (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRbp va_x_rbp
(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_reg64 rR10 va_x_r10
(va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64
rRsi va_x_rsi (va_upd_mem va_x_mem va_s0))))))))))))))) in va_get_ok va_sM /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in va_get_reg64 rRbp va_sM < 5 /\
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) ctx_b 24
(va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM)
(va_get_reg64 rRsi va_s0) inp_b (va_get_reg64 rRdx va_s0 `op_Division` 8) (va_get_mem_layout
va_sM) Public /\ Vale.X64.Decls.modifies_buffer_specific ctx_b (va_get_mem_heaplet 1 va_s0)
(va_get_mem_heaplet 1 va_sM) 0 2 /\ va_get_reg64 rR14 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 0 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbx va_sM == Vale.X64.Decls.buffer64_read
ctx_b 1 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rRbp va_sM == Vale.X64.Decls.buffer64_read
ctx_b 2 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 3 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR12 va_sM == Vale.X64.Decls.buffer64_read
ctx_b 4 (va_get_mem_heaplet 1 va_sM) /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR12 va_sM +
va_get_reg64 rR12 va_sM `op_Division` 4 /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 +
va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0 /\ va_get_reg64
rRdi va_sM == va_get_reg64 rRdi va_s0 /\ (let r0_in = Vale.X64.Decls.buffer64_read ctx_b 3
(va_get_mem_heaplet 1 va_sM) in let r1_in = Vale.X64.Decls.buffer64_read ctx_b 4
(va_get_mem_heaplet 1 va_sM) in h == va_mul_nat (va_get_reg64 rRbp va_sM) (va_mul_nat pow2_64
pow2_64) + va_mul_nat (va_get_reg64 rRbx va_sM) pow2_64 + va_get_reg64 rR14 va_sM /\
Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Util.poly1305_heap_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat (va_get_reg64 rRcx va_sM) (va_mul_nat n n)) r
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_sM) inp_b) (va_get_reg64 rRdx va_s0
`op_Division` 8))) ==> va_k va_sM ((h))))
val va_wpProof_Poly1305_blocks : r:int -> h_in:int -> ctx_b:buffer64 -> inp_b:buffer64 ->
va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_blocks r h_in ctx_b inp_b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_blocks ())
([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRsi;
va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_blocks r h_in ctx_b inp_b va_s0 va_k =
let (va_sM, va_f0, h) = va_lemma_Poly1305_blocks (va_code_Poly1305_blocks ()) va_s0 r h_in ctx_b
inp_b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM (va_update_reg64
rR15 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRbp 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_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx 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_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRax;
va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRsi; va_Mod_mem]) va_sM va_s0;
let va_g = (h) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_blocks (r:int) (h_in:int) (ctx_b:buffer64) (inp_b:buffer64) : (va_quickCode
int (va_code_Poly1305_blocks ())) =
(va_QProc (va_code_Poly1305_blocks ()) ([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15;
va_Mod_reg64 rRax; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR13;
va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8;
va_Mod_reg64 rRdx; va_Mod_reg64 rRsi; va_Mod_mem]) (va_wp_Poly1305_blocks r h_in ctx_b inp_b)
(va_wpProof_Poly1305_blocks r h_in ctx_b inp_b))
//--
//-- Poly1305_last_block
val va_code_Poly1305_last_block : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_last_block () =
(va_Block (va_CCons (va_IfElse (va_cmp_lt (va_op_cmp_reg64 rR15) (va_const_cmp 8)) (va_Block
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_CCons
(va_code_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_CCons (va_code_Shl64
(va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Sub64
(va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ())))))))))))))))) (va_Block
(va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx)
(va_op_opr64_reg64 rR15)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64
8)) (va_CCons (va_code_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_CCons (va_code_Shl64
(va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (va_CCons (va_Block (va_CNil ()))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_CCons
(va_code_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CCons (va_code_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_CNil ()))))))))))))))))))) (va_CCons
(va_code_Poly1305_iteration ()) (va_CNil ()))))
val va_codegen_success_Poly1305_last_block : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_last_block () =
(va_pbool_and (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx)
(va_op_opr64_reg64 rR15)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRcx)
(va_const_shift_amt64 3)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx)
(va_const_opr64 1)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRdx)
(va_op_shift_amt64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64
rRcx) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64
rRcx) (va_const_opr64 1)) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR8)
(va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9)
(va_const_opr64 0)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14)
(va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Adc64Wrap
(va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Add64Wrap
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_pbool_and
(va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_pbool_and
(va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 8)) (va_pbool_and
(va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_pbool_and
(va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx))
(va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64
rR8)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbp) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64
rR14) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64
rRbx) (va_op_opr64_reg64 rRdx)) (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbp)
(va_const_opr64 0))))))))))))))))))))))))))))) (va_pbool_and
(va_codegen_success_Poly1305_iteration ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_last_block (va_mods:va_mods_t) : (va_quickCode unit
(va_code_Poly1305_last_block ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r1:nat64) = va_get_reg64 rRax va_s in let
(r:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s) r1 in
let (hBlocks:Prims.int) = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s) (va_get_reg64 rRbx va_s)) (va_get_reg64 rRbp va_s) in let
(inpLast:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s)
(va_get_reg64 rR9 va_s) in let (padLast:Prims.pos) = Prims.pow2 (va_get_reg64 rR15 va_s
`op_Multiply` 8) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 409 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_qIf va_mods (Cmp_lt (va_op_cmp_reg64 rR15) (va_const_cmp 8)) (qblock va_mods (fun
(va_s:va_state) -> let (va_arg78:Vale.Def.Types_s.nat64) = va_get_reg64 rR15 va_s in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 410 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_shift_power2 va_arg78) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 412 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 413 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 414 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (fun
(va_s:va_state) _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 415 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdx va_s == padLast) (let (va_arg77:Vale.Def.Types_s.nat64) = va_get_reg64 rR15
va_s in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 417 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_and_mod va_arg76 va_arg77) (va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 419 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(padLast == Vale.Poly1305.Math.shift_left64 1 (Vale.Poly1305.Math.shift_left64 (va_get_reg64
rR15 va_s) 3)) (let (va_arg75:Prims.int) = Prims.pow2 (va_get_reg64 rR15 va_s `op_Multiply` 8)
in let (va_arg74:Prims.int) = va_get_reg64 rR15 va_s in let (va_arg73:Vale.Def.Types_s.nat64) =
va_get_reg64 rR9 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 420 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mod_power2_lo va_arg72 va_arg73 va_arg74 va_arg75)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 421 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 422 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 425 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR8 va_s == va_get_reg64 rR8 va_old_s `op_Modulus` padLast) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 426 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) == inpLast
`op_Modulus` padLast) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 429 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 430 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 431 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 433 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 434 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 435 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QEmpty
(())))))))))))))))))))))))) (qblock va_mods (fun (va_s:va_state) -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 437 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rR15 va_s - 8 >= 0 /\ va_get_reg64 rR15 va_s - 8 <= 255) (fun _ -> let
(nExtra8:nat8) = va_get_reg64 rR15 va_s - 8 in let (va_arg85:Vale.Def.Types_s.nat64) = nExtra8
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_shift_power2 va_arg85) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR15)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 441 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 442 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 1)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 443 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shl64 (va_op_dst_opr64_reg64 rRdx) (va_op_shift_amt64_reg64 rRcx)) (fun
(va_s:va_state) _ -> va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 445 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(padLast == Vale.Poly1305.Math.lowerUpper128 0 (va_get_reg64 rRdx va_s)) (let
(va_arg84:Prims.nat) = 8 `op_Multiply` nExtra8 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 446 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_power2_add64 va_arg84) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 447 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (())))) (let
(va_arg83:Vale.Def.Types_s.nat64) = nExtra8 in let (va_arg82:Vale.Def.Types_s.nat64) =
va_get_reg64 rR9 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 451 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_and_mod va_arg82 va_arg83) (va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 452 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Prims.pow2 (8 `op_Multiply` nExtra8) >= 0 /\ Prims.pow2 (8 `op_Multiply` nExtra8) <=
18446744073709551615) (fun _ -> let (va_arg81:Vale.Def.Types_s.nat64) = Prims.pow2 (8
`op_Multiply` nExtra8) in let (va_arg80:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let
(va_arg79:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 452 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_mod_hi va_arg79 va_arg80 va_arg81) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 453 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 454 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 455 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ ->
va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 456 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) == inpLast
`op_Modulus` padLast) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 459 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 460 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 461 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 463 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 464 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 465 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbp) (va_const_opr64 0)) (va_QEmpty
(()))))))))))))))))))))))))) (fun (va_s:va_state) va_g -> let (h:int) = hBlocks + inpLast
`op_Modulus` padLast + padLast in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 469 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == va_mul_nat (va_get_reg64 rRbp va_s) (va_mul_nat n n) + va_mul_nat (va_get_reg64 rRbx
va_s) n + va_get_reg64 rR14 va_s) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 469 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper192_reveal ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 469 column 93 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (())))) (va_qAssertBy
va_range1
"***** PRECONDITION NOT MET AT line 470 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(r == va_mul_nat r1 n + va_get_reg64 rR11 va_s) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 470 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (()))) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 471 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_iteration r1) (fun (va_s:va_state) (hLast:int) -> va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 472 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(hLast == Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14
va_s) (va_get_reg64 rRbx va_s)) (va_get_reg64 rRbp va_s)) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 472 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper192_reveal ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 472 column 111 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (())))) (let
(va_arg71:Prims.int) = r in let (va_arg70:Prims.int) = inpLast `op_Modulus` padLast + padLast
in let (va_arg69:Prims.pos) = p in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 473 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_demod va_arg69 hBlocks va_arg70 va_arg71)
(va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 474 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp ((Vale.Poly1305.Spec_s.modp
hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply` r)) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 474 column 90 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_QEmpty (()))) (va_QEmpty (()))))))))))
val va_lemma_Poly1305_last_block : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Poly1305_last_block ()) va_s0 /\ va_get_ok va_s0 /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in
va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n
`op_Division` 16 /\ r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division`
4 /\ (1 <= va_get_reg64 rR15 va_s0 /\ va_get_reg64 rR15 va_s0 < 16))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let
(p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in
va_get_reg64 rRbp va_sM < 5 /\ (let padLast = Prims.pow2 (va_get_reg64 rR15 va_sM `op_Multiply`
8) in let hLast = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM)) (va_get_reg64 rRbp va_sM) in
Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp ((Vale.Poly1305.Spec_s.modp
hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply` r))) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM
(va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM
(va_update_ok va_sM va_s0)))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_last_block va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRax; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_last_block va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_last_block ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 380 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in label
va_range1
"***** POSTCONDITION NOT MET AT line 402 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let padLast = Prims.pow2 (va_get_reg64 rR15 va_sM `op_Multiply` 8) in label va_range1
"***** POSTCONDITION NOT MET AT line 404 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let hLast = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64
rR14 va_sM) (va_get_reg64 rRbx va_sM)) (va_get_reg64 rRbp va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 405 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp ((Vale.Poly1305.Spec_s.modp
hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply` r)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Poly1305_last_block (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819
1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in let
(r1:nat64) = va_get_reg64 rRax va_s0 in let (r:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in let (hBlocks:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0)
(va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let (inpLast:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) in
va_get_reg64 rRbp va_s0 < 5 /\ va_get_reg64 rR11 va_s0 < n `op_Division` 16 /\ r1 < n
`op_Division` 16 /\ r1 `op_Modulus` 4 == 0 /\ va_get_reg64 rR13 va_s0 == r1 + r1 `op_Division`
4 /\ (1 <= va_get_reg64 rR15 va_s0 /\ va_get_reg64 rR15 va_s0 < 16)) /\ (forall
(va_x_rax:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r8:nat64) (va_x_r9:nat64)
(va_x_r10:nat64) (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_rbp:nat64) (va_x_efl:Vale.X64.Flags.t)
. let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx
(va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64
rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax
va_s0))))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range
1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) =
va_mul_nat n n `op_Multiply` 4 - 5 in let (r1:nat64) = va_get_reg64 rRax va_s0 in let
(r:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s0) r1 in
let (hBlocks:Prims.int) = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in let
(inpLast:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s0)
(va_get_reg64 rR9 va_s0) in va_get_reg64 rRbp va_sM < 5 /\ (let padLast = Prims.pow2
(va_get_reg64 rR15 va_sM `op_Multiply` 8) in let hLast = Vale.Poly1305.Math.lowerUpper192
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM))
(va_get_reg64 rRbp va_sM) in Vale.Poly1305.Spec_s.modp hLast == Vale.Poly1305.Spec_s.modp
((Vale.Poly1305.Spec_s.modp hBlocks + padLast + inpLast `op_Modulus` padLast) `op_Multiply`
r))) ==> va_k va_sM (())))
val va_wpProof_Poly1305_last_block : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_last_block va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_last_block ())
([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rR10;
va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_last_block va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Poly1305_last_block (va_code_Poly1305_last_block ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM
(va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRax]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_last_block () : (va_quickCode unit (va_code_Poly1305_last_block ())) =
(va_QProc (va_code_Poly1305_last_block ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx;
va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Poly1305_last_block va_wpProof_Poly1305_last_block)
//--
//-- Poly1305_reduce_last
val va_code_Poly1305_reduce_last : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_reduce_last () =
(va_Block (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rR14))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_CCons
(va_code_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_CCons
(va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_const_opr64 5)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Adc64Wrap
(va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Shr64
(va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Sub64Wrap
(va_op_dst_opr64_reg64 rRax) (va_const_opr64 1)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64
(va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Sub64Wrap
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_And64
(va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Add64
(va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Add64
(va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_CNil ())))))))))))))))))))
val va_codegen_success_Poly1305_reduce_last : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_reduce_last () =
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rR14))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp))
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_const_opr64 5))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0))
(va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0))
(va_pbool_and (va_codegen_success_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10))
(va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rRax) (va_const_opr64 1))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRax))
(va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0))
(va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64
rR10)) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64
rRax)) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64
rRax)) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64
rR8)) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64
rR9)) (va_ttrue ()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_reduce_last (va_mods:va_mods_t) : (va_quickCode unit
(va_code_Poly1305_reduce_last ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Prims.int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s)
(va_get_reg64 rRbx va_s)) (va_get_reg64 rRbp va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 490 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 492 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rR14)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 493 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 494 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbp)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 495 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_const_opr64 5)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 496 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 497 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (fun (va_s:va_state) _ ->
va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 499 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h + 5 == Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8
va_s) (va_get_reg64 rR9 va_s)) (va_get_reg64 rR10 va_s)) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 500 column 34 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 500 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper192_reveal ()) (va_QEmpty (())))) (let
(va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let
(va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let
(va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg29:Prims.int) = h + 5
in let (va_arg28:Vale.Def.Types_s.nat64) = va_get_reg64 rR14 va_old_s in let
(va_arg27:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_old_s in let
(va_arg26:Vale.Def.Types_s.nat64) = va_get_reg64 rRbp va_old_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 501 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_reduce128 h va_arg26 va_arg27 va_arg28 va_arg29
va_arg30 va_arg31 va_arg32) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 503 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Shr64 (va_op_dst_opr64_reg64 rR10) (va_const_shift_amt64 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 505 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 506 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rRax) (va_const_opr64 1)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 508 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 509 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 511 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 512 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 514 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 515 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 518 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rR8)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 519 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR9)) (va_QEmpty
(())))))))))))))))))))))))
val va_lemma_Poly1305_reduce_last : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Poly1305_reduce_last ()) va_s0 /\ va_get_ok va_s0 /\
(let (h:Prims.int) = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in va_get_reg64
rRbp va_s0 < 5)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h:Prims.int) = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0)) (va_get_reg64 rRbp va_s0) in
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM) ==
Vale.Poly1305.Spec_s.mod2_128 (Vale.Poly1305.Spec_s.modp h)) /\ va_state_eq va_sM
(va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM
(va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_reduce_last va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rRax; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_reduce_last va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_reduce_last ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 478 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (h:Prims.int) = Vale.Poly1305.Math.lowerUpper192
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0))
(va_get_reg64 rRbp va_s0) in label va_range1
"***** POSTCONDITION NOT MET AT line 488 column 51 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM) ==
Vale.Poly1305.Spec_s.mod2_128 (Vale.Poly1305.Spec_s.modp h)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rRax; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Poly1305_reduce_last (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (h:Prims.int) = Vale.Poly1305.Math.lowerUpper192
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0))
(va_get_reg64 rRbp va_s0) in va_get_reg64 rRbp va_s0 < 5) /\ (forall (va_x_r8:nat64)
(va_x_r9:nat64) (va_x_r10:nat64) (va_x_rax:nat64) (va_x_r14:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64
rRbp va_x_rbp (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rRax
va_x_rax (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8
va_s0))))))) in va_get_ok va_sM /\ (let (h:Prims.int) = Vale.Poly1305.Math.lowerUpper192
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0))
(va_get_reg64 rRbp va_s0) in Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM)
(va_get_reg64 rRbx va_sM) == Vale.Poly1305.Spec_s.mod2_128 (Vale.Poly1305.Spec_s.modp h)) ==>
va_k va_sM (())))
val va_wpProof_Poly1305_reduce_last : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_reduce_last va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_reduce_last ())
([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_reg64 rRax;
va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_reduce_last va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Poly1305_reduce_last (va_code_Poly1305_reduce_last ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbp va_sM (va_update_reg64
rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rR10 va_sM
(va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rR14;
va_Mod_reg64 rRax; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_reduce_last () : (va_quickCode unit (va_code_Poly1305_reduce_last ())) =
(va_QProc (va_code_Poly1305_reduce_last ()) ([va_Mod_flags; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx;
va_Mod_reg64 rR14; va_Mod_reg64 rRax; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8])
va_wp_Poly1305_reduce_last va_wpProof_Poly1305_reduce_last)
//--
//-- Poly1305_add_key_s
val va_code_Poly1305_add_key_s : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_add_key_s () =
(va_Block (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax))
(va_CCons (va_code_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRdx)) (va_CNil
()))))
val va_codegen_success_Poly1305_add_key_s : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_add_key_s () =
(va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64
rRax)) (va_pbool_and (va_codegen_success_Adc64Wrap (va_op_dst_opr64_reg64 rRbx)
(va_op_opr64_reg64 rRdx)) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_add_key_s (va_mods:va_mods_t) : (va_quickCode unit
(va_code_Poly1305_add_key_s ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h_in:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s)
(va_get_reg64 rRbx va_s) in let (key_s:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rRax va_s) (va_get_reg64 rRdx va_s) in va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 536 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRax)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 537 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Adc64Wrap (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rRdx)) (fun (va_s:va_state)
_ -> let (va_arg18:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in let
(va_arg17:Vale.Def.Types_s.nat64) = va_get_reg64 rR14 va_s in let (va_arg16:Prims.int) = key_s
in let (va_arg15:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let
(va_arg14:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg13:Prims.int) = h_in
in let (va_arg12:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_old_s in let
(va_arg11:Vale.Def.Types_s.nat64) = va_get_reg64 rR14 va_old_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 539 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_add_key va_arg11 va_arg12 va_arg13 va_arg14 va_arg15
va_arg16 va_arg17 va_arg18) (va_QEmpty (()))))))
val va_lemma_Poly1305_add_key_s : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Poly1305_add_key_s ()) va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h_in:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14
va_s0) (va_get_reg64 rRbx va_s0) in let (key_s:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rRax va_s0) (va_get_reg64 rRdx va_s0) in
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM) ==
Vale.Poly1305.Spec_s.mod2_128 (h_in + key_s)) /\ va_state_eq va_sM (va_update_flags va_sM
(va_update_reg64 rRbx va_sM (va_update_reg64 rR14 va_sM (va_update_ok va_sM va_s0))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_add_key_s va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_ok] in
let va_qc = va_qcode_Poly1305_add_key_s va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_add_key_s ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 523 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (h_in:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0) in let (key_s:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rRax va_s0) (va_get_reg64 rRdx va_s0) in label
va_range1
"***** POSTCONDITION NOT MET AT line 534 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM) ==
Vale.Poly1305.Spec_s.mod2_128 (h_in + key_s)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR14; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Poly1305_add_key_s (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (forall (va_x_r14:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let
va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR14 va_x_r14 va_s0))
in va_get_ok va_sM /\ (let (h_in:Vale.Def.Words_s.nat128) = Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_s0) (va_get_reg64 rRbx va_s0) in let (key_s:Vale.Def.Words_s.nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rRax va_s0) (va_get_reg64 rRdx va_s0) in
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM) ==
Vale.Poly1305.Spec_s.mod2_128 (h_in + key_s)) ==> va_k va_sM (())))
val va_wpProof_Poly1305_add_key_s : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_add_key_s va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_add_key_s ()) ([va_Mod_flags;
va_Mod_reg64 rRbx; va_Mod_reg64 rR14]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_add_key_s va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Poly1305_add_key_s (va_code_Poly1305_add_key_s ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64
rR14 va_sM (va_update_ok va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR14]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_add_key_s () : (va_quickCode unit (va_code_Poly1305_add_key_s ())) =
(va_QProc (va_code_Poly1305_add_key_s ()) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR14])
va_wp_Poly1305_add_key_s va_wpProof_Poly1305_add_key_s)
//--
// REVIEW: not clear why Vale.Def.TypesNative_s.reveal_iand doesn't work directly
let reveal_logand128 (x y:nat128) : Lemma
(requires True)
(ensures Vale.Def.Types_s.iand x y == FStar.UInt.logand #128 x y)
= Vale.Def.TypesNative_s.reveal_iand 128 x y
//-- reveal_logand128
//--
//-- Poly1305_impl
val va_code_Poly1305_impl : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Poly1305_impl () =
(va_Block (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64
rR11) (va_op_reg_opr64_reg64 rRdi) 24 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR12) (va_op_reg_opr64_reg64 rRdi) 32
Public) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64
1152921487695413247)) (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64
rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64
1152921487695413244)) (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64
rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64
rRdi) (va_op_reg_opr64_reg64 rR11) 24 Public) (va_CCons (va_code_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR12) 32
Public) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx))
(va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 15)) (va_CCons
(va_code_Sub64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rRax)) (va_CCons
(va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRax) 56 Public) (va_CCons (va_code_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRdx) 64
Public) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (va_CCons
(va_code_Poly1305_blocks ()) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rRax) (va_op_reg_opr64_reg64 rRdi) 184 Public) (va_CCons (va_IfElse
(va_cmp_eq (va_op_cmp_reg64 rRax) (va_const_cmp 1)) (va_Block (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR15) (va_op_reg_opr64_reg64 rRdi) 56
Public) (va_CCons (va_IfElse (va_cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (va_Block
(va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRax)
(va_op_reg_opr64_reg64 rRdi) 32 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0
Public) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64
rR9) (va_op_reg_opr64_reg64 rRsi) 8 Public) (va_CCons (va_code_Poly1305_last_block ()) (va_CNil
())))))) (va_Block (va_CNil ()))) (va_CCons (va_code_Poly1305_reduce_last ()) (va_CCons
(va_code_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRax)
(va_op_reg_opr64_reg64 rRdi) 40 Public) (va_CCons (va_code_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRdi) 48
Public) (va_CCons (va_code_Poly1305_add_key_s ()) (va_CNil ())))))))) (va_Block (va_CNil ())))
(va_CNil ())))))))))))))))))))
val va_codegen_success_Poly1305_impl : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Poly1305_impl () =
(va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdi) 24 Public) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR12)
(va_op_reg_opr64_reg64 rRdi) 32 Public) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1152921487695413247)) (va_pbool_and
(va_codegen_success_And64 (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and
(va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1152921487695413244))
(va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rRcx))
(va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Public) (va_pbool_and
(va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR12) 32 Public) (va_pbool_and (va_codegen_success_Mov64
(va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_And64
(va_op_dst_opr64_reg64 rRax) (va_const_opr64 15)) (va_pbool_and (va_codegen_success_Sub64
(va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rRax)) (va_pbool_and
(va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRax) 56 Public) (va_pbool_and (va_codegen_success_Store64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRdx) 64
Public) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64
1)) (va_pbool_and (va_codegen_success_Poly1305_blocks ()) (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRax)
(va_op_reg_opr64_reg64 rRdi) 184 Public) (va_pbool_and (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR15)
(va_op_reg_opr64_reg64 rRdi) 56 Public) (va_pbool_and (va_pbool_and
(va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRax)
(va_op_reg_opr64_reg64 rRdi) 32 Public) (va_pbool_and (va_codegen_success_Load64_buffer
(va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0
Public) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Public)
(va_codegen_success_Poly1305_last_block ())))) (va_pbool_and
(va_codegen_success_Poly1305_reduce_last ()) (va_pbool_and (va_codegen_success_Load64_buffer
(va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRax) (va_op_reg_opr64_reg64 rRdi) 40
Public) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRdi) 48 Public)
(va_codegen_success_Poly1305_add_key_s ())))))) (va_ttrue ()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Poly1305_impl (va_mods:va_mods_t) (key_r:nat128) (key_s:nat128) (ctx_b:buffer64)
(inp_b:buffer64) (finish:nat64) : (va_quickCode (int) (va_code_Poly1305_impl ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (n:(va_int_range
18446744073709551616 18446744073709551616)) = pow2_64 in let (inp_in:nat64) = va_get_reg64 rRsi
va_s in let (len_in:nat64) = va_get_reg64 rRdx va_s in let (h0_in:Vale.Def.Types_s.nat64) =
Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_s) in let
(h1_in:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1
va_s) in let (h2_in:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read ctx_b 2
(va_get_mem_heaplet 1 va_s) in let (h_in:Prims.int) = Vale.Poly1305.Math.lowerUpper192
(Vale.Poly1305.Math.lowerUpper128 h0_in h1_in) h2_in in let (key_r0:Vale.Def.Types_s.nat64) =
Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_s) in let
(key_r1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1
va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 607 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 609 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR11)
(va_op_reg_opr64_reg64 rRdi) 24 Public ctx_b 3) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 610 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR12)
(va_op_reg_opr64_reg64 rRdi) 32 Public ctx_b 4) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 611 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1152921487695413247)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 612 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 613 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1152921487695413244)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 614 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rR12) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 615 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR11) 24 Public ctx_b 3) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 616 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR12) 32 Public ctx_b 4) (fun (va_s:va_state) _ -> let (r:nat128) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR11 va_s) (va_get_reg64 rR12 va_s) in
va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 619 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(r == va_get_reg64 rR11 va_s + va_mul_nat n (va_get_reg64 rR12 va_s)) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 619 column 54 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (()))) (let
(mask:nat128) = 21267647620597763993911028882763415551 in va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 622 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(r == Vale.Arch.Types.iand128 key_r mask) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 624 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (let
(va_arg81:Vale.Def.Types_s.nat64) = va_get_reg64 rR12 va_s in let
(va_arg80:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let
(va_arg79:Vale.Def.Words_s.nat128) = r in let (va_arg78:Vale.Def.Words_s.nat128) = mask in let
(va_arg77:Vale.Def.Words_s.nat128) = key_r in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 625 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_lowerUpper128_and va_arg77 key_r0 key_r1 va_arg78
1152921487695413247 1152921487695413244 va_arg79 va_arg80 va_arg81) (va_QEmpty (())))) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 629 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 630 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_And64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 15)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 631 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Sub64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 634 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRax) 56 Public ctx_b 7) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 635 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRdx) 64 Public ctx_b 8) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 637 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 1)) (fun (va_s:va_state) _ ->
va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 638 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h_in == va_mul_nat h2_in (va_mul_nat n n) + va_mul_nat h1_in n + h0_in) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 638 column 81 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 638 column 105 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper192_reveal ()) (va_QEmpty (())))) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 639 column 7 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_blocks r h_in ctx_b inp_b) (fun (va_s:va_state) (h:int) -> va_qAssertBy
va_range1
"***** PRECONDITION NOT MET AT line 640 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14
va_s) (va_get_reg64 rRbx va_s)) (va_get_reg64 rRbp va_s)) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 641 column 34 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper192_reveal ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 641 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (())))) (let
(va_arg76:Prims.int) = va_get_reg64 rRdx va_old_s `op_Division` 16 in let
(va_arg75:Vale.X64.Memory.buffer64) = inp_b in let (va_arg74:Vale.X64.Memory.vale_heap) =
va_get_mem_heaplet 0 va_s in let (va_arg73:Prims.int) = r in let (va_arg72:Prims.int) =
va_mul_nat n n in let (va_arg71:Prims.int) = Vale.Poly1305.Spec_s.modp h_in in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 642 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Util.lemma_poly1305_heap_hash_blocks_alt va_arg71 va_arg72
va_arg73 va_arg74 va_arg75 va_arg76) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 644 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRax)
(va_op_reg_opr64_reg64 rRdi) 184 Public ctx_b 23) (fun (va_s:va_state) _ -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 645 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_qIf va_mods (Cmp_eq (va_op_cmp_reg64 rRax) (va_const_cmp 1)) (qblock va_mods (fun
(va_s:va_state) -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 647 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> reveal_logand128 key_r mask) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 648 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(r == Vale.Poly1305.Math.bare_r key_r) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 650 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rR15)
(va_op_reg_opr64_reg64 rRdi) 56 Public ctx_b 7) (fun (va_s:va_state) _ -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 652 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_qIf va_mods (Cmp_ne (va_op_cmp_reg64 rR15) (va_const_cmp 0)) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 654 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRax)
(va_op_reg_opr64_reg64 rRdi) 32 Public ctx_b 4) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 655 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8)
(va_op_reg_opr64_reg64 rRsi) 0 Public inp_b (len_in `op_Division` 16 `op_Multiply` 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 656 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9)
(va_op_reg_opr64_reg64 rRsi) 8 Public inp_b (len_in `op_Division` 16 `op_Multiply` 2 + 1)) (fun
(va_s:va_state) _ -> let (a:Vale.X64.Machine_s.nat128) = Vale.Poly1305.Util.seqTo128_app
(Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s) inp_b) (len_in `op_Division` 16) in
va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 658 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) == a)
(va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 659 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lowerUpper128_reveal ()) (va_QEmpty (()))) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 660 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_last_block ()) (fun (va_s:va_state) _ -> let (h:int) =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s)
(va_get_reg64 rRbx va_s)) (va_get_reg64 rRbp va_s) in va_QEmpty ((h))))))))) (qblock va_mods
(fun (va_s:va_state) -> va_QEmpty ((h))))) (fun (va_s:va_state) va_g -> let (h:int) = va_g in
let (va_arg70:Prims.int) = key_s in let (va_arg69:Prims.int) = Vale.Poly1305.Spec_s.modp h in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 664 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(fun (_:unit) -> Vale.Poly1305.Math.lemma_add_mod128 va_arg69 va_arg70) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 665 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_reduce_last ()) (fun (va_s:va_state) _ -> let (h:int) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s) (va_get_reg64 rRbx va_s) in va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 668 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRax)
(va_op_reg_opr64_reg64 rRdi) 40 Public ctx_b 5) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 669 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 1) (va_op_dst_opr64_reg64 rRdx)
(va_op_reg_opr64_reg64 rRdi) 48 Public ctx_b 6) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 670 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_quick_Poly1305_add_key_s ()) (fun (va_s:va_state) _ -> let (h:int) =
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_s) (va_get_reg64 rRbx va_s) in
va_qAssertBy va_range1
"***** PRECONDITION NOT MET AT line 673 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(h == Vale.Poly1305.Spec_s.poly1305_hash_all (Vale.Poly1305.Spec_s.modp h_in) key_r key_s
(Vale.Poly1305.Util.seqTo128 (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0 va_s)
inp_b)) len_in) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 674 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%mod2_128) mod2_128 mod2_128) (fun _ -> va_reveal_opaque
(`%mod2_128) mod2_128) (va_QLemma va_range1
"***** PRECONDITION NOT MET AT line 674 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
true (fun _ -> va_reveal_eq (`%modp) modp modp) (fun _ -> va_reveal_opaque (`%modp) modp)
(va_QEmpty (())))) (va_QEmpty ((h)))))))))))))) (qblock va_mods (fun (va_s:va_state) ->
va_QEmpty ((h))))) (fun (va_s:va_state) va_g -> let (h:int) = va_g in va_QEmpty
((h)))))))))))))))))))))))))))
val va_lemma_Poly1305_impl : va_b0:va_code -> va_s0:va_state -> key_r:nat128 -> key_s:nat128 ->
ctx_b:buffer64 -> inp_b:buffer64 -> finish:nat64
-> Ghost (va_state & va_fuel & int)
(requires (va_require_total va_b0 (va_code_Poly1305_impl ()) va_s0 /\ va_get_ok va_s0 /\ (let
(n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in
Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) ctx_b 24
(va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0)
(va_get_reg64 rRsi va_s0) inp_b (Vale.Poly1305.Util.readable_words (va_get_reg64 rRdx va_s0))
(va_get_mem_layout va_s0) Public /\ va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 < pow2_64
/\ (let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_s0) in let key_r0
= Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_s0) in let key_r1 =
Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_s0) in let key_s0 =
Vale.X64.Decls.buffer64_read ctx_b 5 (va_get_mem_heaplet 1 va_s0) in let key_s1 =
Vale.X64.Decls.buffer64_read ctx_b 6 (va_get_mem_heaplet 1 va_s0) in finish ==
Vale.X64.Decls.buffer64_read ctx_b 23 (va_get_mem_heaplet 1 va_s0) /\ key_r ==
Vale.Poly1305.Math.lowerUpper128 key_r0 key_r1 /\ key_s == Vale.Poly1305.Math.lowerUpper128
key_s0 key_s1 /\ h2_in < 5 /\ finish < 2))))
(ensures (fun (va_sM, va_fM, h) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64 in
Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) ctx_b 24
(va_get_mem_layout va_sM) Public /\ Vale.X64.Decls.modifies_buffer_specific ctx_b
(va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM) 0 8 /\ (let h0_in =
Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_s0) in let h1_in =
Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_s0) in let h2_in =
Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_s0) in let h_in =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 h0_in h1_in) h2_in in let
inp_mem = Vale.Poly1305.Util.seqTo128 (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0
va_sM) inp_b) in (finish == 0 ==> h == Vale.Poly1305.Math.lowerUpper192
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM))
(va_get_reg64 rRbp va_sM)) /\ (finish == 0 ==> Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Spec_s.poly1305_hash_blocks (Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat n n)
(Vale.Poly1305.Spec_s.make_r key_r) inp_mem (va_get_reg64 rRdx va_s0 `op_Division` 16)) /\
(finish == 0 ==> va_get_reg64 rRbp va_sM < 5) /\ (finish == 1 ==> h ==
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM)) /\
(finish == 1 ==> h == Vale.Poly1305.Spec_s.poly1305_hash_all (Vale.Poly1305.Spec_s.modp h_in)
key_r key_s inp_mem (va_get_reg64 rRdx va_s0)) /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi
va_s0)) /\ va_state_eq va_sM (va_update_mem_heaplet 1 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 rR12 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 rRbp va_sM
(va_update_reg64 rRbx 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 rRax va_sM
(va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Poly1305_impl va_b0 va_s0 key_r key_s ctx_b inp_b finish =
let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64
rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64
rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rRsi; va_Mod_reg64
rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in
let va_qc = va_qcode_Poly1305_impl va_mods key_r key_s ctx_b inp_b finish in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Poly1305_impl ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let h = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 551 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_ok va_sM) /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) =
pow2_64 in label va_range1
"***** POSTCONDITION NOT MET AT line 584 column 66 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) ctx_b 24
(va_get_mem_layout va_sM) Public) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 585 column 65 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(Vale.X64.Decls.modifies_buffer_specific ctx_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet
1 va_sM) 0 8) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 586 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let h0_in = Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_s0) in label
va_range1
"***** POSTCONDITION NOT MET AT line 587 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let h1_in = Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_s0) in label
va_range1
"***** POSTCONDITION NOT MET AT line 588 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_s0) in label
va_range1
"***** POSTCONDITION NOT MET AT line 589 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let h_in = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 h0_in h1_in)
h2_in in label va_range1
"***** POSTCONDITION NOT MET AT line 590 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(let inp_mem = Vale.Poly1305.Util.seqTo128 (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet
0 va_sM) inp_b) in label va_range1
"***** POSTCONDITION NOT MET AT line 591 column 70 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(finish == 0 ==> h == Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128
(va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM)) (va_get_reg64 rRbp va_sM)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 593 column 102 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(finish == 0 ==> Vale.Poly1305.Spec_s.modp h == Vale.Poly1305.Spec_s.poly1305_hash_blocks
(Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat n n) (Vale.Poly1305.Spec_s.make_r key_r) inp_mem
(va_get_reg64 rRdx va_s0 `op_Division` 16)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 594 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(finish == 0 ==> va_get_reg64 rRbp va_sM < 5) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 595 column 51 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(finish == 1 ==> h == Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64
rRbx va_sM)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 596 column 92 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(finish == 1 ==> h == Vale.Poly1305.Spec_s.poly1305_hash_all (Vale.Poly1305.Spec_s.modp h_in)
key_r key_s inp_mem (va_get_reg64 rRdx va_s0)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 597 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/thirdPartyPorts/OpenSSL/poly1305/x64/Vale.Poly1305.X64.vaf *****"
(va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0)))))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0;
let h = va_g in
(va_sM, va_fM, h)
[@ va_qattr]
let va_wp_Poly1305_impl (key_r:nat128) (key_s:nat128) (ctx_b:buffer64) (inp_b:buffer64)
(finish:nat64) (va_s0:va_state) (va_k:(va_state -> int -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (n:(va_int_range 18446744073709551616 18446744073709551616)) = pow2_64
in Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) ctx_b
24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0
va_s0) (va_get_reg64 rRsi va_s0) inp_b (Vale.Poly1305.Util.readable_words (va_get_reg64 rRdx
va_s0)) (va_get_mem_layout va_s0) Public /\ va_get_reg64 rRsi va_s0 + va_get_reg64 rRdx va_s0 <
pow2_64 /\ (let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_s0) in
let key_r0 = Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem_heaplet 1 va_s0) in let key_r1 =
Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem_heaplet 1 va_s0) in let key_s0 =
Vale.X64.Decls.buffer64_read ctx_b 5 (va_get_mem_heaplet 1 va_s0) in let key_s1 =
Vale.X64.Decls.buffer64_read ctx_b 6 (va_get_mem_heaplet 1 va_s0) in finish ==
Vale.X64.Decls.buffer64_read ctx_b 23 (va_get_mem_heaplet 1 va_s0) /\ key_r ==
Vale.Poly1305.Math.lowerUpper128 key_r0 key_r1 /\ key_s == Vale.Poly1305.Math.lowerUpper128
key_s0 key_s1 /\ h2_in < 5 /\ finish < 2)) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64)
(va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rdi:nat64) (va_x_rsi:nat64) (va_x_rbx:nat64)
(va_x_rbp:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64)
(va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_efl:Vale.X64.Flags.t)
(va_x_heap1:vale_heap) (h:int) . let va_sM = va_upd_mem_heaplet 1 va_x_heap1 (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 rR12 va_x_r12 (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 rRbp va_x_rbp (va_upd_reg64
rRbx va_x_rbx (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 rRax va_x_rax (va_upd_mem va_x_mem
va_s0))))))))))))))))) in va_get_ok va_sM /\ (let (n:(va_int_range 18446744073709551616
18446744073709551616)) = pow2_64 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 1 va_sM)
(va_get_reg64 rRdi va_sM) ctx_b 24 (va_get_mem_layout va_sM) Public /\
Vale.X64.Decls.modifies_buffer_specific ctx_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet
1 va_sM) 0 8 /\ (let h0_in = Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem_heaplet 1 va_s0)
in let h1_in = Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem_heaplet 1 va_s0) in let h2_in =
Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem_heaplet 1 va_s0) in let h_in =
Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 h0_in h1_in) h2_in in let
inp_mem = Vale.Poly1305.Util.seqTo128 (Vale.X64.Decls.buffer64_as_seq (va_get_mem_heaplet 0
va_sM) inp_b) in (finish == 0 ==> h == Vale.Poly1305.Math.lowerUpper192
(Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM))
(va_get_reg64 rRbp va_sM)) /\ (finish == 0 ==> Vale.Poly1305.Spec_s.modp h ==
Vale.Poly1305.Spec_s.poly1305_hash_blocks (Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat n n)
(Vale.Poly1305.Spec_s.make_r key_r) inp_mem (va_get_reg64 rRdx va_s0 `op_Division` 16)) /\
(finish == 0 ==> va_get_reg64 rRbp va_sM < 5) /\ (finish == 1 ==> h ==
Vale.Poly1305.Math.lowerUpper128 (va_get_reg64 rR14 va_sM) (va_get_reg64 rRbx va_sM)) /\
(finish == 1 ==> h == Vale.Poly1305.Spec_s.poly1305_hash_all (Vale.Poly1305.Spec_s.modp h_in)
key_r key_s inp_mem (va_get_reg64 rRdx va_s0)) /\ va_get_reg64 rRdi va_sM == va_get_reg64 rRdi
va_s0)) ==> va_k va_sM ((h))))
val va_wpProof_Poly1305_impl : key_r:nat128 -> key_s:nat128 -> ctx_b:buffer64 -> inp_b:buffer64 ->
finish:nat64 -> va_s0:va_state -> va_k:(va_state -> int -> Type0)
-> Ghost (va_state & va_fuel & int)
(requires (va_t_require va_s0 /\ va_wp_Poly1305_impl key_r key_s ctx_b inp_b finish va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305_impl ()) ([va_Mod_mem_heaplet
1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12;
va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRbp;
va_Mod_reg64 rRbx; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx;
va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Poly1305_impl key_r key_s ctx_b inp_b finish va_s0 va_k =
let (va_sM, va_f0, h) = va_lemma_Poly1305_impl (va_code_Poly1305_impl ()) va_s0 key_r key_s ctx_b
inp_b finish in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_mem_heaplet 1 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 rR12 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 rRbp va_sM (va_update_reg64 rRbx 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 rRax va_sM (va_update_ok va_sM (va_update_mem
va_sM va_s0))))))))))))))))))));
va_lemma_norm_mods ([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14;
va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9;
va_Mod_reg64 rR8; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi;
va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0;
let va_g = (h) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Poly1305_impl (key_r:nat128) (key_s:nat128) (ctx_b:buffer64) (inp_b:buffer64)
(finish:nat64) : (va_quickCode int (va_code_Poly1305_impl ())) =
(va_QProc (va_code_Poly1305_impl ()) ([va_Mod_mem_heaplet 1; va_Mod_flags; va_Mod_reg64 rR15;
va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10;
va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rRsi;
va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem])
(va_wp_Poly1305_impl key_r key_s ctx_b inp_b finish) (va_wpProof_Poly1305_impl key_r key_s
ctx_b inp_b finish))
//--
//-- Poly1305 | {
"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.Poly1305.Util.fsti.checked",
"Vale.Poly1305.Spec_s.fst.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.TypesNative_s.fst.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.Poly1305.X64.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Spec_s",
"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.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305",
"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": 40,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | win: Prims.bool -> Vale.X64.Decls.va_code | Prims.Tot | [
"total"
] | [] | [
"Prims.bool",
"Vale.X64.Decls.va_Block",
"Vale.X64.Decls.va_CCons",
"Vale.X64.InsMem.va_code_CreateHeaplets",
"Vale.X64.InsBasic.va_code_Mov64",
"Vale.X64.Decls.va_op_dst_opr64_reg64",
"Vale.X64.Machine_s.rRax",
"Vale.X64.Decls.va_op_opr64_reg64",
"Vale.X64.Machine_s.rRdi",
"Vale.X64.Machine_s.rR11",
"Vale.X64.Machine_s.rRsi",
"Vale.X64.Machine_s.rRcx",
"Vale.X64.Machine_s.rRdx",
"Vale.X64.Machine_s.rR8",
"Vale.X64.Machine_s.rR9",
"Vale.X64.Decls.va_CNil",
"Vale.X64.Decls.va_code",
"Vale.X64.InsMem.va_code_Store64_buffer",
"Vale.X64.Decls.va_op_heaplet_mem_heaplet",
"Vale.X64.Decls.va_op_reg_opr64_reg64",
"Vale.Arch.HeapTypes_s.Public",
"Vale.X64.InsStack.va_code_Push_Secret",
"Vale.X64.Machine_s.rRbx",
"Vale.X64.Machine_s.rRbp",
"Vale.X64.Machine_s.rR12",
"Vale.X64.Machine_s.rR13",
"Vale.X64.Machine_s.rR14",
"Vale.X64.Machine_s.rR15",
"Vale.Poly1305.X64.va_code_Poly1305_impl",
"Vale.X64.InsStack.va_code_Pop_Secret",
"Vale.X64.InsMem.va_code_DestroyHeaplets"
] | [] | false | false | false | true | false | let va_code_Poly1305 win =
| (va_Block (va_CCons (va_code_CreateHeaplets ())
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdi))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRsi))
(va_CCons (if win
then
va_Block (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdi)
(va_op_opr64_reg64 rRcx))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRsi)
(va_op_opr64_reg64 rRdx))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx)
(va_op_opr64_reg64 rR8))
(va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx)
(va_op_opr64_reg64 rR9))
(va_CNil ())))))
else va_Block (va_CNil ()))
(va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRcx)
184
Public)
(va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRbx))
(va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRbp))
(va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRax))
(va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rR11))
(va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rR12))
(va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rR13
))
(va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64
rR14))
(va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64
rR15))
(va_CCons (va_code_Poly1305_impl ())
(va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet
1)
(va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rR14)
0
Public)
(va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet
1)
(va_op_reg_opr64_reg64 rRdi)
(va_op_reg_opr64_reg64 rRbx)
8
Public)
(va_CCons (va_code_Store64_buffer
(va_op_heaplet_mem_heaplet
1)
(va_op_reg_opr64_reg64 rRdi
)
(va_op_reg_opr64_reg64 rRbp
)
16
Public)
(va_CCons (va_code_Pop_Secret
(va_op_dst_opr64_reg64
rR15))
(va_CCons (va_code_Pop_Secret
(va_op_dst_opr64_reg64
rR14))
(va_CCons (va_code_Pop_Secret
(va_op_dst_opr64_reg64
rR13))
(va_CCons (va_code_Pop_Secret
(va_op_dst_opr64_reg64
rR12
))
(va_CCons (va_code_Pop_Secret
(va_op_dst_opr64_reg64
rRsi
))
(va_CCons
(va_code_Pop_Secret
(
va_op_dst_opr64_reg64
rRax
)
)
(va_CCons
(
va_code_Pop_Secret
(
va_op_dst_opr64_reg64
rRbp
)
)
(
va_CCons
(
va_code_Pop_Secret
(
va_op_dst_opr64_reg64
rRbx
)
)
(
va_CCons
(
va_code_Mov64
(
va_op_dst_opr64_reg64
rRdi
)
(
va_op_opr64_reg64
rRax
)
)
(
va_CCons
(
va_code_DestroyHeaplets
()
)
(
va_CNil
()
)
)
)
)
))
))))))))))))
))))))))))) | false |
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